%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN096-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:09:29 AM UTC 2026
% Result : Unsatisfiable 31.78s 32.11s
% Output : Proof 31.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 36
% Syntax : Number of clauses : 2251 (1699 unt; 0 nHn;2251 RR)
% Number of literals : 3353 ( 0 equ;1104 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(m_s3_goal_1,negated_conjecture,
( ~ q_0(X)
| ~ p_0(X) ),
file('theBenchmark.p',m_s3_goal_1) ).
cnf(m_s3_type11_2,axiom,
( ~ q_2(X)
| ~ q_1(X)
| p_0(X) ),
file('theBenchmark.p',m_s3_type11_2) ).
cnf(m_s3_type11_6,axiom,
( ~ q_4(X)
| ~ q_3(X)
| p_2(X) ),
file('theBenchmark.p',m_s3_type11_6) ).
cnf(m_s3_type11_8,axiom,
( ~ q_5(X)
| ~ q_4(X)
| p_3(X) ),
file('theBenchmark.p',m_s3_type11_8) ).
cnf(m_s3_type11_10,axiom,
( ~ q_6(X)
| ~ q_5(X)
| p_4(X) ),
file('theBenchmark.p',m_s3_type11_10) ).
cnf(m_s3_type11_12,axiom,
( ~ q_7(X)
| ~ q_6(X)
| p_5(X) ),
file('theBenchmark.p',m_s3_type11_12) ).
cnf(m_s3_type11_14,axiom,
( ~ q_8(X)
| ~ q_7(X)
| p_6(X) ),
file('theBenchmark.p',m_s3_type11_14) ).
cnf(m_s3_type11_16,axiom,
( ~ q_9(X)
| ~ q_8(X)
| p_7(X) ),
file('theBenchmark.p',m_s3_type11_16) ).
cnf(m_s3_type11_18,axiom,
( ~ q_10(X)
| ~ q_9(X)
| p_8(X) ),
file('theBenchmark.p',m_s3_type11_18) ).
cnf(m_s3_type11_20,axiom,
( ~ q_11(X)
| ~ q_10(X)
| p_9(X) ),
file('theBenchmark.p',m_s3_type11_20) ).
cnf(m_s3_type11_22,axiom,
( ~ q_12(X)
| ~ q_11(X)
| p_10(X) ),
file('theBenchmark.p',m_s3_type11_22) ).
cnf(m_s3_type11_24,axiom,
( ~ q_13(X)
| ~ q_12(X)
| p_11(X) ),
file('theBenchmark.p',m_s3_type11_24) ).
cnf(m_s3_type11_26,axiom,
( ~ q_14(X)
| ~ q_13(X)
| p_12(X) ),
file('theBenchmark.p',m_s3_type11_26) ).
cnf(m_s3_type11_28,axiom,
( ~ q_15(X)
| ~ q_14(X)
| p_13(X) ),
file('theBenchmark.p',m_s3_type11_28) ).
cnf(m_s3_type12_2,axiom,
( ~ p_2(X)
| ~ q_1(X)
| q_0(X) ),
file('theBenchmark.p',m_s3_type12_2) ).
cnf(m_s3_type12_4,axiom,
( ~ p_3(X)
| ~ q_2(X)
| q_1(X) ),
file('theBenchmark.p',m_s3_type12_4) ).
cnf(m_s3_type12_6,axiom,
( ~ p_4(X)
| ~ q_3(X)
| q_2(X) ),
file('theBenchmark.p',m_s3_type12_6) ).
cnf(m_s3_type12_7,axiom,
( ~ q_5(X)
| ~ p_4(X)
| q_3(X) ),
file('theBenchmark.p',m_s3_type12_7) ).
cnf(m_s3_type12_8,axiom,
( ~ p_5(X)
| ~ q_4(X)
| q_3(X) ),
file('theBenchmark.p',m_s3_type12_8) ).
cnf(m_s3_type12_10,axiom,
( ~ p_6(X)
| ~ q_5(X)
| q_4(X) ),
file('theBenchmark.p',m_s3_type12_10) ).
cnf(m_s3_type12_12,axiom,
( ~ p_7(X)
| ~ q_6(X)
| q_5(X) ),
file('theBenchmark.p',m_s3_type12_12) ).
cnf(m_s3_type12_13,axiom,
( ~ q_8(X)
| ~ p_7(X)
| q_6(X) ),
file('theBenchmark.p',m_s3_type12_13) ).
cnf(m_s3_type12_14,axiom,
( ~ p_8(X)
| ~ q_7(X)
| q_6(X) ),
file('theBenchmark.p',m_s3_type12_14) ).
cnf(m_s3_type12_16,axiom,
( ~ p_9(X)
| ~ q_8(X)
| q_7(X) ),
file('theBenchmark.p',m_s3_type12_16) ).
cnf(m_s3_type12_18,axiom,
( ~ p_10(X)
| ~ q_9(X)
| q_8(X) ),
file('theBenchmark.p',m_s3_type12_18) ).
cnf(m_s3_type12_19,axiom,
( ~ q_11(X)
| ~ p_10(X)
| q_9(X) ),
file('theBenchmark.p',m_s3_type12_19) ).
cnf(m_s3_type12_20,axiom,
( ~ p_11(X)
| ~ q_10(X)
| q_9(X) ),
file('theBenchmark.p',m_s3_type12_20) ).
cnf(m_s3_type12_22,axiom,
( ~ p_12(X)
| ~ q_11(X)
| q_10(X) ),
file('theBenchmark.p',m_s3_type12_22) ).
cnf(m_s3_type12_24,axiom,
( ~ p_13(X)
| ~ q_12(X)
| q_11(X) ),
file('theBenchmark.p',m_s3_type12_24) ).
cnf(m_s3_type12_25,axiom,
( ~ q_14(X)
| ~ p_13(X)
| q_12(X) ),
file('theBenchmark.p',m_s3_type12_25) ).
cnf(m_s3_type12_26,axiom,
( ~ p_14(X)
| ~ q_13(X)
| q_12(X) ),
file('theBenchmark.p',m_s3_type12_26) ).
cnf(m_s3_type12_28,axiom,
( ~ p_15(X)
| ~ q_14(X)
| q_13(X) ),
file('theBenchmark.p',m_s3_type12_28) ).
cnf(m_t3_1,axiom,
p_14(a),
file('theBenchmark.p',m_t3_1) ).
cnf(m_t3_2,axiom,
p_15(a),
file('theBenchmark.p',m_t3_2) ).
cnf(m_t3_3,axiom,
q_14(a),
file('theBenchmark.p',m_t3_3) ).
cnf(m_t3_4,axiom,
q_15(a),
file('theBenchmark.p',m_t3_4) ).
cnf(t1,plain,
( ~ q_0(a)
| ~ p_0(a) ),
inference(start,[status(thm),parent(0:0)],[m_s3_goal_1]) ).
cnf(t2,plain,
( ~ q_1(a)
| ~ q_2(a)
| p_0(a) ),
inference(extension,[status(thm),parent(t1:1)],[m_s3_type11_2]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ q_3(a)
| ~ p_4(a)
| q_2(a) ),
inference(extension,[status(thm),parent(t2:2)],[m_s3_type12_6]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ q_5(a)
| ~ q_6(a)
| p_4(a) ),
inference(extension,[status(thm),parent(t4:2)],[m_s3_type11_10]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ q_7(a)
| ~ p_8(a)
| q_6(a) ),
inference(extension,[status(thm),parent(t6:2)],[m_s3_type12_14]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ q_9(a)
| ~ q_10(a)
| p_8(a) ),
inference(extension,[status(thm),parent(t8:2)],[m_s3_type11_18]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t10:2)],[m_s3_type12_22]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t12:2)],[m_s3_type11_26]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
q_14(a),
inference(extension,[status(thm),parent(t14:2)],[m_t3_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(l8,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t14:2),below(t12:2)],[t14:2]) ).
cnf(t18,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t14:3)],[m_s3_type12_28]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
p_15(a),
inference(extension,[status(thm),parent(t18:2)],[m_t3_2]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t18:3)],[l8:1]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t12:3)],[m_s3_type12_24]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t12:3]) ).
cnf(t26,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t24:2)],[m_s3_type11_28]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
q_15(a),
inference(extension,[status(thm),parent(t26:2)],[m_t3_4]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
q_14(a),
inference(extension,[status(thm),parent(t26:3)],[m_t3_3]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t24:3)],[m_s3_type12_26]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t24:3]) ).
cnf(t34,plain,
p_14(a),
inference(extension,[status(thm),parent(t32:2)],[m_t3_1]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t32:3)],[m_s3_type12_28]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
p_15(a),
inference(extension,[status(thm),parent(t36:2)],[m_t3_2]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
q_14(a),
inference(extension,[status(thm),parent(t36:3)],[m_t3_3]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t36:3]) ).
cnf(l6,lemma,
q_10(a),
inference(lemma,[status(cth),parent(t10:2),below(t8:2)],[t10:2]) ).
cnf(t42,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t10:3)],[m_s3_type12_20]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t10:3]) ).
cnf(t44,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t42:2)],[m_s3_type11_24]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t44:2)],[m_s3_type12_28]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
p_15(a),
inference(extension,[status(thm),parent(t46:2)],[m_t3_2]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
q_14(a),
inference(extension,[status(thm),parent(t46:3)],[m_t3_3]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t46:3]) ).
cnf(l22,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t44:2),below(t42:2)],[t44:2]) ).
cnf(t52,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t44:3)],[m_s3_type12_26]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t44:3]) ).
cnf(t54,plain,
p_14(a),
inference(extension,[status(thm),parent(t52:2)],[m_t3_1]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t52:3)],[l22:1]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t52:3]) ).
cnf(t58,plain,
q_10(a),
inference(lemma_extension,[status(thm),parent(t42:3)],[l6:1]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t42:3]) ).
cnf(t60,plain,
( ~ q_8(a)
| ~ p_9(a)
| q_7(a) ),
inference(extension,[status(thm),parent(t8:3)],[m_s3_type12_16]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t8:3]) ).
cnf(t62,plain,
( ~ q_10(a)
| ~ q_11(a)
| p_9(a) ),
inference(extension,[status(thm),parent(t60:2)],[m_s3_type11_20]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t62:2)],[m_s3_type12_24]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
cnf(t66,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t64:2)],[m_s3_type11_28]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t64:2]) ).
cnf(t68,plain,
q_15(a),
inference(extension,[status(thm),parent(t66:2)],[m_t3_4]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
q_14(a),
inference(extension,[status(thm),parent(t66:3)],[m_t3_3]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t66:3]) ).
cnf(t72,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t64:3)],[m_s3_type12_26]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t64:3]) ).
cnf(t74,plain,
p_14(a),
inference(extension,[status(thm),parent(t72:2)],[m_t3_1]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t72:2]) ).
cnf(t76,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t72:3)],[m_s3_type12_28]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t72:3]) ).
cnf(t78,plain,
p_15(a),
inference(extension,[status(thm),parent(t76:2)],[m_t3_2]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t76:2]) ).
cnf(t80,plain,
q_14(a),
inference(extension,[status(thm),parent(t76:3)],[m_t3_3]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t76:3]) ).
cnf(l29,lemma,
q_11(a),
inference(lemma,[status(cth),parent(t62:2),below(t60:2)],[t62:2]) ).
cnf(t82,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t62:3)],[m_s3_type12_22]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t62:3]) ).
cnf(t84,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t82:2)],[m_s3_type11_26]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t82:2]) ).
cnf(t86,plain,
q_14(a),
inference(extension,[status(thm),parent(t84:2)],[m_t3_3]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t84:2]) ).
cnf(l40,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t84:2),below(t82:2)],[t84:2]) ).
cnf(t88,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t84:3)],[m_s3_type12_28]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t84:3]) ).
cnf(t90,plain,
p_15(a),
inference(extension,[status(thm),parent(t88:2)],[m_t3_2]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t88:2]) ).
cnf(t92,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t88:3)],[l40:1]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t88:3]) ).
cnf(t94,plain,
q_11(a),
inference(lemma_extension,[status(thm),parent(t82:3)],[l29:1]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t82:3]) ).
cnf(t96,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t60:3)],[m_s3_type12_18]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t60:3]) ).
cnf(t98,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t96:2)],[m_s3_type11_22]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t96:2]) ).
cnf(t100,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t98:2)],[m_s3_type12_26]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t98:2]) ).
cnf(t102,plain,
p_14(a),
inference(extension,[status(thm),parent(t100:2)],[m_t3_1]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t100:2]) ).
cnf(t104,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t100:3)],[m_s3_type12_28]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t100:3]) ).
cnf(t106,plain,
p_15(a),
inference(extension,[status(thm),parent(t104:2)],[m_t3_2]) ).
cnf(t107,plain,
$false,
inference(connection,[status(thm),parent(t106:1)],[t106:1,t104:2]) ).
cnf(t108,plain,
q_14(a),
inference(extension,[status(thm),parent(t104:3)],[m_t3_3]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t104:3]) ).
cnf(l45,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t98:2),below(t96:2)],[t98:2]) ).
cnf(t110,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t98:3)],[m_s3_type12_24]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t98:3]) ).
cnf(t112,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t110:2)],[m_s3_type11_28]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t110:2]) ).
cnf(t114,plain,
q_15(a),
inference(extension,[status(thm),parent(t112:2)],[m_t3_4]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t112:2]) ).
cnf(t116,plain,
q_14(a),
inference(extension,[status(thm),parent(t112:3)],[m_t3_3]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t112:3]) ).
cnf(t118,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t110:3)],[l45:1]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t110:3]) ).
cnf(t120,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t96:3)],[m_s3_type12_20]) ).
cnf(t121,plain,
$false,
inference(connection,[status(thm),parent(t120:1)],[t120:1,t96:3]) ).
cnf(t122,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t120:2)],[m_s3_type11_24]) ).
cnf(t123,plain,
$false,
inference(connection,[status(thm),parent(t122:1)],[t122:1,t120:2]) ).
cnf(t124,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t122:2)],[m_s3_type12_28]) ).
cnf(t125,plain,
$false,
inference(connection,[status(thm),parent(t124:1)],[t124:1,t122:2]) ).
cnf(t126,plain,
p_15(a),
inference(extension,[status(thm),parent(t124:2)],[m_t3_2]) ).
cnf(t127,plain,
$false,
inference(connection,[status(thm),parent(t126:1)],[t126:1,t124:2]) ).
cnf(t128,plain,
q_14(a),
inference(extension,[status(thm),parent(t124:3)],[m_t3_3]) ).
cnf(t129,plain,
$false,
inference(connection,[status(thm),parent(t128:1)],[t128:1,t124:3]) ).
cnf(l56,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t122:2),below(t120:2)],[t122:2]) ).
cnf(t130,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t122:3)],[m_s3_type12_26]) ).
cnf(t131,plain,
$false,
inference(connection,[status(thm),parent(t130:1)],[t130:1,t122:3]) ).
cnf(t132,plain,
p_14(a),
inference(extension,[status(thm),parent(t130:2)],[m_t3_1]) ).
cnf(t133,plain,
$false,
inference(connection,[status(thm),parent(t132:1)],[t132:1,t130:2]) ).
cnf(t134,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t130:3)],[l56:1]) ).
cnf(t135,plain,
$false,
inference(connection,[status(thm),parent(t134:1)],[t134:1,t130:3]) ).
cnf(t136,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t120:3)],[m_s3_type12_22]) ).
cnf(t137,plain,
$false,
inference(connection,[status(thm),parent(t136:1)],[t136:1,t120:3]) ).
cnf(t138,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t136:2)],[m_s3_type11_26]) ).
cnf(t139,plain,
$false,
inference(connection,[status(thm),parent(t138:1)],[t138:1,t136:2]) ).
cnf(t140,plain,
q_14(a),
inference(extension,[status(thm),parent(t138:2)],[m_t3_3]) ).
cnf(t141,plain,
$false,
inference(connection,[status(thm),parent(t140:1)],[t140:1,t138:2]) ).
cnf(l63,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t138:2),below(t136:2)],[t138:2]) ).
cnf(t142,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t138:3)],[m_s3_type12_28]) ).
cnf(t143,plain,
$false,
inference(connection,[status(thm),parent(t142:1)],[t142:1,t138:3]) ).
cnf(t144,plain,
p_15(a),
inference(extension,[status(thm),parent(t142:2)],[m_t3_2]) ).
cnf(t145,plain,
$false,
inference(connection,[status(thm),parent(t144:1)],[t144:1,t142:2]) ).
cnf(t146,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t142:3)],[l63:1]) ).
cnf(t147,plain,
$false,
inference(connection,[status(thm),parent(t146:1)],[t146:1,t142:3]) ).
cnf(t148,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t136:3)],[m_s3_type12_24]) ).
cnf(t149,plain,
$false,
inference(connection,[status(thm),parent(t148:1)],[t148:1,t136:3]) ).
cnf(t150,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t148:2)],[m_s3_type11_28]) ).
cnf(t151,plain,
$false,
inference(connection,[status(thm),parent(t150:1)],[t150:1,t148:2]) ).
cnf(t152,plain,
q_15(a),
inference(extension,[status(thm),parent(t150:2)],[m_t3_4]) ).
cnf(t153,plain,
$false,
inference(connection,[status(thm),parent(t152:1)],[t152:1,t150:2]) ).
cnf(t154,plain,
q_14(a),
inference(extension,[status(thm),parent(t150:3)],[m_t3_3]) ).
cnf(t155,plain,
$false,
inference(connection,[status(thm),parent(t154:1)],[t154:1,t150:3]) ).
cnf(l67,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t148:2),below(t136:3)],[t148:2]) ).
cnf(t156,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t148:3)],[m_s3_type12_25]) ).
cnf(t157,plain,
$false,
inference(connection,[status(thm),parent(t156:1)],[t156:1,t148:3]) ).
cnf(t158,plain,
q_14(a),
inference(extension,[status(thm),parent(t156:2)],[m_t3_3]) ).
cnf(t159,plain,
$false,
inference(connection,[status(thm),parent(t158:1)],[t158:1,t156:2]) ).
cnf(t160,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t156:3)],[l67:1]) ).
cnf(t161,plain,
$false,
inference(connection,[status(thm),parent(t160:1)],[t160:1,t156:3]) ).
cnf(l4,lemma,
q_6(a),
inference(lemma,[status(cth),parent(t6:2),below(t4:2)],[t6:2]) ).
cnf(t162,plain,
( ~ q_6(a)
| ~ p_7(a)
| q_5(a) ),
inference(extension,[status(thm),parent(t6:3)],[m_s3_type12_12]) ).
cnf(t163,plain,
$false,
inference(connection,[status(thm),parent(t162:1)],[t162:1,t6:3]) ).
cnf(t164,plain,
( ~ q_8(a)
| ~ q_9(a)
| p_7(a) ),
inference(extension,[status(thm),parent(t162:2)],[m_s3_type11_16]) ).
cnf(t165,plain,
$false,
inference(connection,[status(thm),parent(t164:1)],[t164:1,t162:2]) ).
cnf(t166,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t164:2)],[m_s3_type12_20]) ).
cnf(t167,plain,
$false,
inference(connection,[status(thm),parent(t166:1)],[t166:1,t164:2]) ).
cnf(t168,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t166:2)],[m_s3_type11_24]) ).
cnf(t169,plain,
$false,
inference(connection,[status(thm),parent(t168:1)],[t168:1,t166:2]) ).
cnf(t170,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t168:2)],[m_s3_type12_28]) ).
cnf(t171,plain,
$false,
inference(connection,[status(thm),parent(t170:1)],[t170:1,t168:2]) ).
cnf(t172,plain,
p_15(a),
inference(extension,[status(thm),parent(t170:2)],[m_t3_2]) ).
cnf(t173,plain,
$false,
inference(connection,[status(thm),parent(t172:1)],[t172:1,t170:2]) ).
cnf(t174,plain,
q_14(a),
inference(extension,[status(thm),parent(t170:3)],[m_t3_3]) ).
cnf(t175,plain,
$false,
inference(connection,[status(thm),parent(t174:1)],[t174:1,t170:3]) ).
cnf(l76,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t168:2),below(t166:2)],[t168:2]) ).
cnf(t176,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t168:3)],[m_s3_type12_26]) ).
cnf(t177,plain,
$false,
inference(connection,[status(thm),parent(t176:1)],[t176:1,t168:3]) ).
cnf(t178,plain,
p_14(a),
inference(extension,[status(thm),parent(t176:2)],[m_t3_1]) ).
cnf(t179,plain,
$false,
inference(connection,[status(thm),parent(t178:1)],[t178:1,t176:2]) ).
cnf(t180,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t176:3)],[l76:1]) ).
cnf(t181,plain,
$false,
inference(connection,[status(thm),parent(t180:1)],[t180:1,t176:3]) ).
cnf(t182,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t166:3)],[m_s3_type12_22]) ).
cnf(t183,plain,
$false,
inference(connection,[status(thm),parent(t182:1)],[t182:1,t166:3]) ).
cnf(t184,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t182:2)],[m_s3_type11_26]) ).
cnf(t185,plain,
$false,
inference(connection,[status(thm),parent(t184:1)],[t184:1,t182:2]) ).
cnf(t186,plain,
q_14(a),
inference(extension,[status(thm),parent(t184:2)],[m_t3_3]) ).
cnf(t187,plain,
$false,
inference(connection,[status(thm),parent(t186:1)],[t186:1,t184:2]) ).
cnf(l83,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t184:2),below(t182:2)],[t184:2]) ).
cnf(t188,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t184:3)],[m_s3_type12_28]) ).
cnf(t189,plain,
$false,
inference(connection,[status(thm),parent(t188:1)],[t188:1,t184:3]) ).
cnf(t190,plain,
p_15(a),
inference(extension,[status(thm),parent(t188:2)],[m_t3_2]) ).
cnf(t191,plain,
$false,
inference(connection,[status(thm),parent(t190:1)],[t190:1,t188:2]) ).
cnf(t192,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t188:3)],[l83:1]) ).
cnf(t193,plain,
$false,
inference(connection,[status(thm),parent(t192:1)],[t192:1,t188:3]) ).
cnf(t194,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t182:3)],[m_s3_type12_24]) ).
cnf(t195,plain,
$false,
inference(connection,[status(thm),parent(t194:1)],[t194:1,t182:3]) ).
cnf(t196,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t194:2)],[m_s3_type11_28]) ).
cnf(t197,plain,
$false,
inference(connection,[status(thm),parent(t196:1)],[t196:1,t194:2]) ).
cnf(t198,plain,
q_15(a),
inference(extension,[status(thm),parent(t196:2)],[m_t3_4]) ).
cnf(t199,plain,
$false,
inference(connection,[status(thm),parent(t198:1)],[t198:1,t196:2]) ).
cnf(t200,plain,
q_14(a),
inference(extension,[status(thm),parent(t196:3)],[m_t3_3]) ).
cnf(t201,plain,
$false,
inference(connection,[status(thm),parent(t200:1)],[t200:1,t196:3]) ).
cnf(t202,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t194:3)],[m_s3_type12_26]) ).
cnf(t203,plain,
$false,
inference(connection,[status(thm),parent(t202:1)],[t202:1,t194:3]) ).
cnf(t204,plain,
p_14(a),
inference(extension,[status(thm),parent(t202:2)],[m_t3_1]) ).
cnf(t205,plain,
$false,
inference(connection,[status(thm),parent(t204:1)],[t204:1,t202:2]) ).
cnf(t206,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t202:3)],[m_s3_type12_28]) ).
cnf(t207,plain,
$false,
inference(connection,[status(thm),parent(t206:1)],[t206:1,t202:3]) ).
cnf(t208,plain,
p_15(a),
inference(extension,[status(thm),parent(t206:2)],[m_t3_2]) ).
cnf(t209,plain,
$false,
inference(connection,[status(thm),parent(t208:1)],[t208:1,t206:2]) ).
cnf(t210,plain,
q_14(a),
inference(extension,[status(thm),parent(t206:3)],[m_t3_3]) ).
cnf(t211,plain,
$false,
inference(connection,[status(thm),parent(t210:1)],[t210:1,t206:3]) ).
cnf(l74,lemma,
q_9(a),
inference(lemma,[status(cth),parent(t164:2),below(t162:2)],[t164:2]) ).
cnf(t212,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t164:3)],[m_s3_type12_18]) ).
cnf(t213,plain,
$false,
inference(connection,[status(thm),parent(t212:1)],[t212:1,t164:3]) ).
cnf(t214,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t212:2)],[m_s3_type11_22]) ).
cnf(t215,plain,
$false,
inference(connection,[status(thm),parent(t214:1)],[t214:1,t212:2]) ).
cnf(t216,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t214:2)],[m_s3_type12_26]) ).
cnf(t217,plain,
$false,
inference(connection,[status(thm),parent(t216:1)],[t216:1,t214:2]) ).
cnf(t218,plain,
p_14(a),
inference(extension,[status(thm),parent(t216:2)],[m_t3_1]) ).
cnf(t219,plain,
$false,
inference(connection,[status(thm),parent(t218:1)],[t218:1,t216:2]) ).
cnf(t220,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t216:3)],[m_s3_type12_28]) ).
cnf(t221,plain,
$false,
inference(connection,[status(thm),parent(t220:1)],[t220:1,t216:3]) ).
cnf(t222,plain,
p_15(a),
inference(extension,[status(thm),parent(t220:2)],[m_t3_2]) ).
cnf(t223,plain,
$false,
inference(connection,[status(thm),parent(t222:1)],[t222:1,t220:2]) ).
cnf(t224,plain,
q_14(a),
inference(extension,[status(thm),parent(t220:3)],[m_t3_3]) ).
cnf(t225,plain,
$false,
inference(connection,[status(thm),parent(t224:1)],[t224:1,t220:3]) ).
cnf(l97,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t214:2),below(t212:2)],[t214:2]) ).
cnf(t226,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t214:3)],[m_s3_type12_24]) ).
cnf(t227,plain,
$false,
inference(connection,[status(thm),parent(t226:1)],[t226:1,t214:3]) ).
cnf(t228,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t226:2)],[m_s3_type11_28]) ).
cnf(t229,plain,
$false,
inference(connection,[status(thm),parent(t228:1)],[t228:1,t226:2]) ).
cnf(t230,plain,
q_15(a),
inference(extension,[status(thm),parent(t228:2)],[m_t3_4]) ).
cnf(t231,plain,
$false,
inference(connection,[status(thm),parent(t230:1)],[t230:1,t228:2]) ).
cnf(t232,plain,
q_14(a),
inference(extension,[status(thm),parent(t228:3)],[m_t3_3]) ).
cnf(t233,plain,
$false,
inference(connection,[status(thm),parent(t232:1)],[t232:1,t228:3]) ).
cnf(t234,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t226:3)],[l97:1]) ).
cnf(t235,plain,
$false,
inference(connection,[status(thm),parent(t234:1)],[t234:1,t226:3]) ).
cnf(t236,plain,
q_9(a),
inference(lemma_extension,[status(thm),parent(t212:3)],[l74:1]) ).
cnf(t237,plain,
$false,
inference(connection,[status(thm),parent(t236:1)],[t236:1,t212:3]) ).
cnf(t238,plain,
q_6(a),
inference(lemma_extension,[status(thm),parent(t162:3)],[l4:1]) ).
cnf(t239,plain,
$false,
inference(connection,[status(thm),parent(t238:1)],[t238:1,t162:3]) ).
cnf(t240,plain,
( ~ q_4(a)
| ~ p_5(a)
| q_3(a) ),
inference(extension,[status(thm),parent(t4:3)],[m_s3_type12_8]) ).
cnf(t241,plain,
$false,
inference(connection,[status(thm),parent(t240:1)],[t240:1,t4:3]) ).
cnf(t242,plain,
( ~ q_6(a)
| ~ q_7(a)
| p_5(a) ),
inference(extension,[status(thm),parent(t240:2)],[m_s3_type11_12]) ).
cnf(t243,plain,
$false,
inference(connection,[status(thm),parent(t242:1)],[t242:1,t240:2]) ).
cnf(t244,plain,
( ~ q_8(a)
| ~ p_9(a)
| q_7(a) ),
inference(extension,[status(thm),parent(t242:2)],[m_s3_type12_16]) ).
cnf(t245,plain,
$false,
inference(connection,[status(thm),parent(t244:1)],[t244:1,t242:2]) ).
cnf(t246,plain,
( ~ q_10(a)
| ~ q_11(a)
| p_9(a) ),
inference(extension,[status(thm),parent(t244:2)],[m_s3_type11_20]) ).
cnf(t247,plain,
$false,
inference(connection,[status(thm),parent(t246:1)],[t246:1,t244:2]) ).
cnf(t248,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t246:2)],[m_s3_type12_24]) ).
cnf(t249,plain,
$false,
inference(connection,[status(thm),parent(t248:1)],[t248:1,t246:2]) ).
cnf(t250,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t248:2)],[m_s3_type11_28]) ).
cnf(t251,plain,
$false,
inference(connection,[status(thm),parent(t250:1)],[t250:1,t248:2]) ).
cnf(t252,plain,
q_15(a),
inference(extension,[status(thm),parent(t250:2)],[m_t3_4]) ).
cnf(t253,plain,
$false,
inference(connection,[status(thm),parent(t252:1)],[t252:1,t250:2]) ).
cnf(t254,plain,
q_14(a),
inference(extension,[status(thm),parent(t250:3)],[m_t3_3]) ).
cnf(t255,plain,
$false,
inference(connection,[status(thm),parent(t254:1)],[t254:1,t250:3]) ).
cnf(t256,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t248:3)],[m_s3_type12_26]) ).
cnf(t257,plain,
$false,
inference(connection,[status(thm),parent(t256:1)],[t256:1,t248:3]) ).
cnf(t258,plain,
p_14(a),
inference(extension,[status(thm),parent(t256:2)],[m_t3_1]) ).
cnf(t259,plain,
$false,
inference(connection,[status(thm),parent(t258:1)],[t258:1,t256:2]) ).
cnf(t260,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t256:3)],[m_s3_type12_28]) ).
cnf(t261,plain,
$false,
inference(connection,[status(thm),parent(t260:1)],[t260:1,t256:3]) ).
cnf(t262,plain,
p_15(a),
inference(extension,[status(thm),parent(t260:2)],[m_t3_2]) ).
cnf(t263,plain,
$false,
inference(connection,[status(thm),parent(t262:1)],[t262:1,t260:2]) ).
cnf(t264,plain,
q_14(a),
inference(extension,[status(thm),parent(t260:3)],[m_t3_3]) ).
cnf(t265,plain,
$false,
inference(connection,[status(thm),parent(t264:1)],[t264:1,t260:3]) ).
cnf(l110,lemma,
q_11(a),
inference(lemma,[status(cth),parent(t246:2),below(t244:2)],[t246:2]) ).
cnf(t266,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t246:3)],[m_s3_type12_22]) ).
cnf(t267,plain,
$false,
inference(connection,[status(thm),parent(t266:1)],[t266:1,t246:3]) ).
cnf(t268,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t266:2)],[m_s3_type11_26]) ).
cnf(t269,plain,
$false,
inference(connection,[status(thm),parent(t268:1)],[t268:1,t266:2]) ).
cnf(t270,plain,
q_14(a),
inference(extension,[status(thm),parent(t268:2)],[m_t3_3]) ).
cnf(t271,plain,
$false,
inference(connection,[status(thm),parent(t270:1)],[t270:1,t268:2]) ).
cnf(l121,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t268:2),below(t266:2)],[t268:2]) ).
cnf(t272,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t268:3)],[m_s3_type12_28]) ).
cnf(t273,plain,
$false,
inference(connection,[status(thm),parent(t272:1)],[t272:1,t268:3]) ).
cnf(t274,plain,
p_15(a),
inference(extension,[status(thm),parent(t272:2)],[m_t3_2]) ).
cnf(t275,plain,
$false,
inference(connection,[status(thm),parent(t274:1)],[t274:1,t272:2]) ).
cnf(t276,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t272:3)],[l121:1]) ).
cnf(t277,plain,
$false,
inference(connection,[status(thm),parent(t276:1)],[t276:1,t272:3]) ).
cnf(t278,plain,
q_11(a),
inference(lemma_extension,[status(thm),parent(t266:3)],[l110:1]) ).
cnf(t279,plain,
$false,
inference(connection,[status(thm),parent(t278:1)],[t278:1,t266:3]) ).
cnf(t280,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t244:3)],[m_s3_type12_18]) ).
cnf(t281,plain,
$false,
inference(connection,[status(thm),parent(t280:1)],[t280:1,t244:3]) ).
cnf(t282,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t280:2)],[m_s3_type11_22]) ).
cnf(t283,plain,
$false,
inference(connection,[status(thm),parent(t282:1)],[t282:1,t280:2]) ).
cnf(t284,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t282:2)],[m_s3_type12_26]) ).
cnf(t285,plain,
$false,
inference(connection,[status(thm),parent(t284:1)],[t284:1,t282:2]) ).
cnf(t286,plain,
p_14(a),
inference(extension,[status(thm),parent(t284:2)],[m_t3_1]) ).
cnf(t287,plain,
$false,
inference(connection,[status(thm),parent(t286:1)],[t286:1,t284:2]) ).
cnf(t288,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t284:3)],[m_s3_type12_28]) ).
cnf(t289,plain,
$false,
inference(connection,[status(thm),parent(t288:1)],[t288:1,t284:3]) ).
cnf(t290,plain,
p_15(a),
inference(extension,[status(thm),parent(t288:2)],[m_t3_2]) ).
cnf(t291,plain,
$false,
inference(connection,[status(thm),parent(t290:1)],[t290:1,t288:2]) ).
cnf(t292,plain,
q_14(a),
inference(extension,[status(thm),parent(t288:3)],[m_t3_3]) ).
cnf(t293,plain,
$false,
inference(connection,[status(thm),parent(t292:1)],[t292:1,t288:3]) ).
cnf(l126,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t282:2),below(t280:2)],[t282:2]) ).
cnf(t294,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t282:3)],[m_s3_type12_24]) ).
cnf(t295,plain,
$false,
inference(connection,[status(thm),parent(t294:1)],[t294:1,t282:3]) ).
cnf(t296,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t294:2)],[m_s3_type11_28]) ).
cnf(t297,plain,
$false,
inference(connection,[status(thm),parent(t296:1)],[t296:1,t294:2]) ).
cnf(t298,plain,
q_15(a),
inference(extension,[status(thm),parent(t296:2)],[m_t3_4]) ).
cnf(t299,plain,
$false,
inference(connection,[status(thm),parent(t298:1)],[t298:1,t296:2]) ).
cnf(t300,plain,
q_14(a),
inference(extension,[status(thm),parent(t296:3)],[m_t3_3]) ).
cnf(t301,plain,
$false,
inference(connection,[status(thm),parent(t300:1)],[t300:1,t296:3]) ).
cnf(t302,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t294:3)],[l126:1]) ).
cnf(t303,plain,
$false,
inference(connection,[status(thm),parent(t302:1)],[t302:1,t294:3]) ).
cnf(t304,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t280:3)],[m_s3_type12_20]) ).
cnf(t305,plain,
$false,
inference(connection,[status(thm),parent(t304:1)],[t304:1,t280:3]) ).
cnf(t306,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t304:2)],[m_s3_type11_24]) ).
cnf(t307,plain,
$false,
inference(connection,[status(thm),parent(t306:1)],[t306:1,t304:2]) ).
cnf(t308,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t306:2)],[m_s3_type12_28]) ).
cnf(t309,plain,
$false,
inference(connection,[status(thm),parent(t308:1)],[t308:1,t306:2]) ).
cnf(t310,plain,
p_15(a),
inference(extension,[status(thm),parent(t308:2)],[m_t3_2]) ).
cnf(t311,plain,
$false,
inference(connection,[status(thm),parent(t310:1)],[t310:1,t308:2]) ).
cnf(t312,plain,
q_14(a),
inference(extension,[status(thm),parent(t308:3)],[m_t3_3]) ).
cnf(t313,plain,
$false,
inference(connection,[status(thm),parent(t312:1)],[t312:1,t308:3]) ).
cnf(l137,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t306:2),below(t304:2)],[t306:2]) ).
cnf(t314,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t306:3)],[m_s3_type12_26]) ).
cnf(t315,plain,
$false,
inference(connection,[status(thm),parent(t314:1)],[t314:1,t306:3]) ).
cnf(t316,plain,
p_14(a),
inference(extension,[status(thm),parent(t314:2)],[m_t3_1]) ).
cnf(t317,plain,
$false,
inference(connection,[status(thm),parent(t316:1)],[t316:1,t314:2]) ).
cnf(t318,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t314:3)],[l137:1]) ).
cnf(t319,plain,
$false,
inference(connection,[status(thm),parent(t318:1)],[t318:1,t314:3]) ).
cnf(t320,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t304:3)],[m_s3_type12_22]) ).
cnf(t321,plain,
$false,
inference(connection,[status(thm),parent(t320:1)],[t320:1,t304:3]) ).
cnf(t322,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t320:2)],[m_s3_type11_26]) ).
cnf(t323,plain,
$false,
inference(connection,[status(thm),parent(t322:1)],[t322:1,t320:2]) ).
cnf(t324,plain,
q_14(a),
inference(extension,[status(thm),parent(t322:2)],[m_t3_3]) ).
cnf(t325,plain,
$false,
inference(connection,[status(thm),parent(t324:1)],[t324:1,t322:2]) ).
cnf(l144,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t322:2),below(t320:2)],[t322:2]) ).
cnf(t326,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t322:3)],[m_s3_type12_28]) ).
cnf(t327,plain,
$false,
inference(connection,[status(thm),parent(t326:1)],[t326:1,t322:3]) ).
cnf(t328,plain,
p_15(a),
inference(extension,[status(thm),parent(t326:2)],[m_t3_2]) ).
cnf(t329,plain,
$false,
inference(connection,[status(thm),parent(t328:1)],[t328:1,t326:2]) ).
cnf(t330,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t326:3)],[l144:1]) ).
cnf(t331,plain,
$false,
inference(connection,[status(thm),parent(t330:1)],[t330:1,t326:3]) ).
cnf(t332,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t320:3)],[m_s3_type12_24]) ).
cnf(t333,plain,
$false,
inference(connection,[status(thm),parent(t332:1)],[t332:1,t320:3]) ).
cnf(t334,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t332:2)],[m_s3_type11_28]) ).
cnf(t335,plain,
$false,
inference(connection,[status(thm),parent(t334:1)],[t334:1,t332:2]) ).
cnf(t336,plain,
q_15(a),
inference(extension,[status(thm),parent(t334:2)],[m_t3_4]) ).
cnf(t337,plain,
$false,
inference(connection,[status(thm),parent(t336:1)],[t336:1,t334:2]) ).
cnf(t338,plain,
q_14(a),
inference(extension,[status(thm),parent(t334:3)],[m_t3_3]) ).
cnf(t339,plain,
$false,
inference(connection,[status(thm),parent(t338:1)],[t338:1,t334:3]) ).
cnf(l148,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t332:2),below(t320:3)],[t332:2]) ).
cnf(t340,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t332:3)],[m_s3_type12_25]) ).
cnf(t341,plain,
$false,
inference(connection,[status(thm),parent(t340:1)],[t340:1,t332:3]) ).
cnf(t342,plain,
q_14(a),
inference(extension,[status(thm),parent(t340:2)],[m_t3_3]) ).
cnf(t343,plain,
$false,
inference(connection,[status(thm),parent(t342:1)],[t342:1,t340:2]) ).
cnf(t344,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t340:3)],[l148:1]) ).
cnf(t345,plain,
$false,
inference(connection,[status(thm),parent(t344:1)],[t344:1,t340:3]) ).
cnf(l108,lemma,
q_7(a),
inference(lemma,[status(cth),parent(t242:2),below(t240:2)],[t242:2]) ).
cnf(t346,plain,
( ~ q_7(a)
| ~ p_8(a)
| q_6(a) ),
inference(extension,[status(thm),parent(t242:3)],[m_s3_type12_14]) ).
cnf(t347,plain,
$false,
inference(connection,[status(thm),parent(t346:1)],[t346:1,t242:3]) ).
cnf(t348,plain,
( ~ q_9(a)
| ~ q_10(a)
| p_8(a) ),
inference(extension,[status(thm),parent(t346:2)],[m_s3_type11_18]) ).
cnf(t349,plain,
$false,
inference(connection,[status(thm),parent(t348:1)],[t348:1,t346:2]) ).
cnf(t350,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t348:2)],[m_s3_type12_22]) ).
cnf(t351,plain,
$false,
inference(connection,[status(thm),parent(t350:1)],[t350:1,t348:2]) ).
cnf(t352,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t350:2)],[m_s3_type11_26]) ).
cnf(t353,plain,
$false,
inference(connection,[status(thm),parent(t352:1)],[t352:1,t350:2]) ).
cnf(t354,plain,
q_14(a),
inference(extension,[status(thm),parent(t352:2)],[m_t3_3]) ).
cnf(t355,plain,
$false,
inference(connection,[status(thm),parent(t354:1)],[t354:1,t352:2]) ).
cnf(l157,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t352:2),below(t350:2)],[t352:2]) ).
cnf(t356,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t352:3)],[m_s3_type12_28]) ).
cnf(t357,plain,
$false,
inference(connection,[status(thm),parent(t356:1)],[t356:1,t352:3]) ).
cnf(t358,plain,
p_15(a),
inference(extension,[status(thm),parent(t356:2)],[m_t3_2]) ).
cnf(t359,plain,
$false,
inference(connection,[status(thm),parent(t358:1)],[t358:1,t356:2]) ).
cnf(t360,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t356:3)],[l157:1]) ).
cnf(t361,plain,
$false,
inference(connection,[status(thm),parent(t360:1)],[t360:1,t356:3]) ).
cnf(t362,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t350:3)],[m_s3_type12_24]) ).
cnf(t363,plain,
$false,
inference(connection,[status(thm),parent(t362:1)],[t362:1,t350:3]) ).
cnf(t364,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t362:2)],[m_s3_type11_28]) ).
cnf(t365,plain,
$false,
inference(connection,[status(thm),parent(t364:1)],[t364:1,t362:2]) ).
cnf(t366,plain,
q_15(a),
inference(extension,[status(thm),parent(t364:2)],[m_t3_4]) ).
cnf(t367,plain,
$false,
inference(connection,[status(thm),parent(t366:1)],[t366:1,t364:2]) ).
cnf(t368,plain,
q_14(a),
inference(extension,[status(thm),parent(t364:3)],[m_t3_3]) ).
cnf(t369,plain,
$false,
inference(connection,[status(thm),parent(t368:1)],[t368:1,t364:3]) ).
cnf(t370,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t362:3)],[m_s3_type12_26]) ).
cnf(t371,plain,
$false,
inference(connection,[status(thm),parent(t370:1)],[t370:1,t362:3]) ).
cnf(t372,plain,
p_14(a),
inference(extension,[status(thm),parent(t370:2)],[m_t3_1]) ).
cnf(t373,plain,
$false,
inference(connection,[status(thm),parent(t372:1)],[t372:1,t370:2]) ).
cnf(t374,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t370:3)],[m_s3_type12_28]) ).
cnf(t375,plain,
$false,
inference(connection,[status(thm),parent(t374:1)],[t374:1,t370:3]) ).
cnf(t376,plain,
p_15(a),
inference(extension,[status(thm),parent(t374:2)],[m_t3_2]) ).
cnf(t377,plain,
$false,
inference(connection,[status(thm),parent(t376:1)],[t376:1,t374:2]) ).
cnf(t378,plain,
q_14(a),
inference(extension,[status(thm),parent(t374:3)],[m_t3_3]) ).
cnf(t379,plain,
$false,
inference(connection,[status(thm),parent(t378:1)],[t378:1,t374:3]) ).
cnf(l155,lemma,
q_10(a),
inference(lemma,[status(cth),parent(t348:2),below(t346:2)],[t348:2]) ).
cnf(t380,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t348:3)],[m_s3_type12_20]) ).
cnf(t381,plain,
$false,
inference(connection,[status(thm),parent(t380:1)],[t380:1,t348:3]) ).
cnf(t382,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t380:2)],[m_s3_type11_24]) ).
cnf(t383,plain,
$false,
inference(connection,[status(thm),parent(t382:1)],[t382:1,t380:2]) ).
cnf(t384,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t382:2)],[m_s3_type12_28]) ).
cnf(t385,plain,
$false,
inference(connection,[status(thm),parent(t384:1)],[t384:1,t382:2]) ).
cnf(t386,plain,
p_15(a),
inference(extension,[status(thm),parent(t384:2)],[m_t3_2]) ).
cnf(t387,plain,
$false,
inference(connection,[status(thm),parent(t386:1)],[t386:1,t384:2]) ).
cnf(t388,plain,
q_14(a),
inference(extension,[status(thm),parent(t384:3)],[m_t3_3]) ).
cnf(t389,plain,
$false,
inference(connection,[status(thm),parent(t388:1)],[t388:1,t384:3]) ).
cnf(l171,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t382:2),below(t380:2)],[t382:2]) ).
cnf(t390,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t382:3)],[m_s3_type12_26]) ).
cnf(t391,plain,
$false,
inference(connection,[status(thm),parent(t390:1)],[t390:1,t382:3]) ).
cnf(t392,plain,
p_14(a),
inference(extension,[status(thm),parent(t390:2)],[m_t3_1]) ).
cnf(t393,plain,
$false,
inference(connection,[status(thm),parent(t392:1)],[t392:1,t390:2]) ).
cnf(t394,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t390:3)],[l171:1]) ).
cnf(t395,plain,
$false,
inference(connection,[status(thm),parent(t394:1)],[t394:1,t390:3]) ).
cnf(t396,plain,
q_10(a),
inference(lemma_extension,[status(thm),parent(t380:3)],[l155:1]) ).
cnf(t397,plain,
$false,
inference(connection,[status(thm),parent(t396:1)],[t396:1,t380:3]) ).
cnf(t398,plain,
q_7(a),
inference(lemma_extension,[status(thm),parent(t346:3)],[l108:1]) ).
cnf(t399,plain,
$false,
inference(connection,[status(thm),parent(t398:1)],[t398:1,t346:3]) ).
cnf(t400,plain,
( ~ q_5(a)
| ~ p_6(a)
| q_4(a) ),
inference(extension,[status(thm),parent(t240:3)],[m_s3_type12_10]) ).
cnf(t401,plain,
$false,
inference(connection,[status(thm),parent(t400:1)],[t400:1,t240:3]) ).
cnf(t402,plain,
( ~ q_7(a)
| ~ q_8(a)
| p_6(a) ),
inference(extension,[status(thm),parent(t400:2)],[m_s3_type11_14]) ).
cnf(t403,plain,
$false,
inference(connection,[status(thm),parent(t402:1)],[t402:1,t400:2]) ).
cnf(t404,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t402:2)],[m_s3_type12_18]) ).
cnf(t405,plain,
$false,
inference(connection,[status(thm),parent(t404:1)],[t404:1,t402:2]) ).
cnf(t406,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t404:2)],[m_s3_type11_22]) ).
cnf(t407,plain,
$false,
inference(connection,[status(thm),parent(t406:1)],[t406:1,t404:2]) ).
cnf(t408,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t406:2)],[m_s3_type12_26]) ).
cnf(t409,plain,
$false,
inference(connection,[status(thm),parent(t408:1)],[t408:1,t406:2]) ).
cnf(t410,plain,
p_14(a),
inference(extension,[status(thm),parent(t408:2)],[m_t3_1]) ).
cnf(t411,plain,
$false,
inference(connection,[status(thm),parent(t410:1)],[t410:1,t408:2]) ).
cnf(t412,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t408:3)],[m_s3_type12_28]) ).
cnf(t413,plain,
$false,
inference(connection,[status(thm),parent(t412:1)],[t412:1,t408:3]) ).
cnf(t414,plain,
p_15(a),
inference(extension,[status(thm),parent(t412:2)],[m_t3_2]) ).
cnf(t415,plain,
$false,
inference(connection,[status(thm),parent(t414:1)],[t414:1,t412:2]) ).
cnf(t416,plain,
q_14(a),
inference(extension,[status(thm),parent(t412:3)],[m_t3_3]) ).
cnf(t417,plain,
$false,
inference(connection,[status(thm),parent(t416:1)],[t416:1,t412:3]) ).
cnf(l180,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t406:2),below(t404:2)],[t406:2]) ).
cnf(t418,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t406:3)],[m_s3_type12_24]) ).
cnf(t419,plain,
$false,
inference(connection,[status(thm),parent(t418:1)],[t418:1,t406:3]) ).
cnf(t420,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t418:2)],[m_s3_type11_28]) ).
cnf(t421,plain,
$false,
inference(connection,[status(thm),parent(t420:1)],[t420:1,t418:2]) ).
cnf(t422,plain,
q_15(a),
inference(extension,[status(thm),parent(t420:2)],[m_t3_4]) ).
cnf(t423,plain,
$false,
inference(connection,[status(thm),parent(t422:1)],[t422:1,t420:2]) ).
cnf(t424,plain,
q_14(a),
inference(extension,[status(thm),parent(t420:3)],[m_t3_3]) ).
cnf(t425,plain,
$false,
inference(connection,[status(thm),parent(t424:1)],[t424:1,t420:3]) ).
cnf(t426,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t418:3)],[l180:1]) ).
cnf(t427,plain,
$false,
inference(connection,[status(thm),parent(t426:1)],[t426:1,t418:3]) ).
cnf(t428,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t404:3)],[m_s3_type12_20]) ).
cnf(t429,plain,
$false,
inference(connection,[status(thm),parent(t428:1)],[t428:1,t404:3]) ).
cnf(t430,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t428:2)],[m_s3_type11_24]) ).
cnf(t431,plain,
$false,
inference(connection,[status(thm),parent(t430:1)],[t430:1,t428:2]) ).
cnf(t432,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t430:2)],[m_s3_type12_28]) ).
cnf(t433,plain,
$false,
inference(connection,[status(thm),parent(t432:1)],[t432:1,t430:2]) ).
cnf(t434,plain,
p_15(a),
inference(extension,[status(thm),parent(t432:2)],[m_t3_2]) ).
cnf(t435,plain,
$false,
inference(connection,[status(thm),parent(t434:1)],[t434:1,t432:2]) ).
cnf(t436,plain,
q_14(a),
inference(extension,[status(thm),parent(t432:3)],[m_t3_3]) ).
cnf(t437,plain,
$false,
inference(connection,[status(thm),parent(t436:1)],[t436:1,t432:3]) ).
cnf(l191,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t430:2),below(t428:2)],[t430:2]) ).
cnf(t438,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t430:3)],[m_s3_type12_26]) ).
cnf(t439,plain,
$false,
inference(connection,[status(thm),parent(t438:1)],[t438:1,t430:3]) ).
cnf(t440,plain,
p_14(a),
inference(extension,[status(thm),parent(t438:2)],[m_t3_1]) ).
cnf(t441,plain,
$false,
inference(connection,[status(thm),parent(t440:1)],[t440:1,t438:2]) ).
cnf(t442,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t438:3)],[l191:1]) ).
cnf(t443,plain,
$false,
inference(connection,[status(thm),parent(t442:1)],[t442:1,t438:3]) ).
cnf(t444,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t428:3)],[m_s3_type12_22]) ).
cnf(t445,plain,
$false,
inference(connection,[status(thm),parent(t444:1)],[t444:1,t428:3]) ).
cnf(t446,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t444:2)],[m_s3_type11_26]) ).
cnf(t447,plain,
$false,
inference(connection,[status(thm),parent(t446:1)],[t446:1,t444:2]) ).
cnf(t448,plain,
q_14(a),
inference(extension,[status(thm),parent(t446:2)],[m_t3_3]) ).
cnf(t449,plain,
$false,
inference(connection,[status(thm),parent(t448:1)],[t448:1,t446:2]) ).
cnf(l198,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t446:2),below(t444:2)],[t446:2]) ).
cnf(t450,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t446:3)],[m_s3_type12_28]) ).
cnf(t451,plain,
$false,
inference(connection,[status(thm),parent(t450:1)],[t450:1,t446:3]) ).
cnf(t452,plain,
p_15(a),
inference(extension,[status(thm),parent(t450:2)],[m_t3_2]) ).
cnf(t453,plain,
$false,
inference(connection,[status(thm),parent(t452:1)],[t452:1,t450:2]) ).
cnf(t454,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t450:3)],[l198:1]) ).
cnf(t455,plain,
$false,
inference(connection,[status(thm),parent(t454:1)],[t454:1,t450:3]) ).
cnf(t456,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t444:3)],[m_s3_type12_24]) ).
cnf(t457,plain,
$false,
inference(connection,[status(thm),parent(t456:1)],[t456:1,t444:3]) ).
cnf(t458,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t456:2)],[m_s3_type11_28]) ).
cnf(t459,plain,
$false,
inference(connection,[status(thm),parent(t458:1)],[t458:1,t456:2]) ).
cnf(t460,plain,
q_15(a),
inference(extension,[status(thm),parent(t458:2)],[m_t3_4]) ).
cnf(t461,plain,
$false,
inference(connection,[status(thm),parent(t460:1)],[t460:1,t458:2]) ).
cnf(t462,plain,
q_14(a),
inference(extension,[status(thm),parent(t458:3)],[m_t3_3]) ).
cnf(t463,plain,
$false,
inference(connection,[status(thm),parent(t462:1)],[t462:1,t458:3]) ).
cnf(l202,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t456:2),below(t444:3)],[t456:2]) ).
cnf(t464,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t456:3)],[m_s3_type12_25]) ).
cnf(t465,plain,
$false,
inference(connection,[status(thm),parent(t464:1)],[t464:1,t456:3]) ).
cnf(t466,plain,
q_14(a),
inference(extension,[status(thm),parent(t464:2)],[m_t3_3]) ).
cnf(t467,plain,
$false,
inference(connection,[status(thm),parent(t466:1)],[t466:1,t464:2]) ).
cnf(t468,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t464:3)],[l202:1]) ).
cnf(t469,plain,
$false,
inference(connection,[status(thm),parent(t468:1)],[t468:1,t464:3]) ).
cnf(l178,lemma,
q_8(a),
inference(lemma,[status(cth),parent(t402:2),below(t400:2)],[t402:2]) ).
cnf(t470,plain,
( ~ q_8(a)
| ~ p_9(a)
| q_7(a) ),
inference(extension,[status(thm),parent(t402:3)],[m_s3_type12_16]) ).
cnf(t471,plain,
$false,
inference(connection,[status(thm),parent(t470:1)],[t470:1,t402:3]) ).
cnf(t472,plain,
( ~ q_10(a)
| ~ q_11(a)
| p_9(a) ),
inference(extension,[status(thm),parent(t470:2)],[m_s3_type11_20]) ).
cnf(t473,plain,
$false,
inference(connection,[status(thm),parent(t472:1)],[t472:1,t470:2]) ).
cnf(t474,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t472:2)],[m_s3_type12_24]) ).
cnf(t475,plain,
$false,
inference(connection,[status(thm),parent(t474:1)],[t474:1,t472:2]) ).
cnf(t476,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t474:2)],[m_s3_type11_28]) ).
cnf(t477,plain,
$false,
inference(connection,[status(thm),parent(t476:1)],[t476:1,t474:2]) ).
cnf(t478,plain,
q_15(a),
inference(extension,[status(thm),parent(t476:2)],[m_t3_4]) ).
cnf(t479,plain,
$false,
inference(connection,[status(thm),parent(t478:1)],[t478:1,t476:2]) ).
cnf(t480,plain,
q_14(a),
inference(extension,[status(thm),parent(t476:3)],[m_t3_3]) ).
cnf(t481,plain,
$false,
inference(connection,[status(thm),parent(t480:1)],[t480:1,t476:3]) ).
cnf(t482,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t474:3)],[m_s3_type12_26]) ).
cnf(t483,plain,
$false,
inference(connection,[status(thm),parent(t482:1)],[t482:1,t474:3]) ).
cnf(t484,plain,
p_14(a),
inference(extension,[status(thm),parent(t482:2)],[m_t3_1]) ).
cnf(t485,plain,
$false,
inference(connection,[status(thm),parent(t484:1)],[t484:1,t482:2]) ).
cnf(t486,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t482:3)],[m_s3_type12_28]) ).
cnf(t487,plain,
$false,
inference(connection,[status(thm),parent(t486:1)],[t486:1,t482:3]) ).
cnf(t488,plain,
p_15(a),
inference(extension,[status(thm),parent(t486:2)],[m_t3_2]) ).
cnf(t489,plain,
$false,
inference(connection,[status(thm),parent(t488:1)],[t488:1,t486:2]) ).
cnf(t490,plain,
q_14(a),
inference(extension,[status(thm),parent(t486:3)],[m_t3_3]) ).
cnf(t491,plain,
$false,
inference(connection,[status(thm),parent(t490:1)],[t490:1,t486:3]) ).
cnf(l209,lemma,
q_11(a),
inference(lemma,[status(cth),parent(t472:2),below(t470:2)],[t472:2]) ).
cnf(t492,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t472:3)],[m_s3_type12_22]) ).
cnf(t493,plain,
$false,
inference(connection,[status(thm),parent(t492:1)],[t492:1,t472:3]) ).
cnf(t494,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t492:2)],[m_s3_type11_26]) ).
cnf(t495,plain,
$false,
inference(connection,[status(thm),parent(t494:1)],[t494:1,t492:2]) ).
cnf(t496,plain,
q_14(a),
inference(extension,[status(thm),parent(t494:2)],[m_t3_3]) ).
cnf(t497,plain,
$false,
inference(connection,[status(thm),parent(t496:1)],[t496:1,t494:2]) ).
cnf(l220,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t494:2),below(t492:2)],[t494:2]) ).
cnf(t498,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t494:3)],[m_s3_type12_28]) ).
cnf(t499,plain,
$false,
inference(connection,[status(thm),parent(t498:1)],[t498:1,t494:3]) ).
cnf(t500,plain,
p_15(a),
inference(extension,[status(thm),parent(t498:2)],[m_t3_2]) ).
cnf(t501,plain,
$false,
inference(connection,[status(thm),parent(t500:1)],[t500:1,t498:2]) ).
cnf(t502,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t498:3)],[l220:1]) ).
cnf(t503,plain,
$false,
inference(connection,[status(thm),parent(t502:1)],[t502:1,t498:3]) ).
cnf(t504,plain,
q_11(a),
inference(lemma_extension,[status(thm),parent(t492:3)],[l209:1]) ).
cnf(t505,plain,
$false,
inference(connection,[status(thm),parent(t504:1)],[t504:1,t492:3]) ).
cnf(t506,plain,
q_8(a),
inference(lemma_extension,[status(thm),parent(t470:3)],[l178:1]) ).
cnf(t507,plain,
$false,
inference(connection,[status(thm),parent(t506:1)],[t506:1,t470:3]) ).
cnf(t508,plain,
( ~ q_6(a)
| ~ p_7(a)
| q_5(a) ),
inference(extension,[status(thm),parent(t400:3)],[m_s3_type12_12]) ).
cnf(t509,plain,
$false,
inference(connection,[status(thm),parent(t508:1)],[t508:1,t400:3]) ).
cnf(t510,plain,
( ~ q_8(a)
| ~ q_9(a)
| p_7(a) ),
inference(extension,[status(thm),parent(t508:2)],[m_s3_type11_16]) ).
cnf(t511,plain,
$false,
inference(connection,[status(thm),parent(t510:1)],[t510:1,t508:2]) ).
cnf(t512,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t510:2)],[m_s3_type12_20]) ).
cnf(t513,plain,
$false,
inference(connection,[status(thm),parent(t512:1)],[t512:1,t510:2]) ).
cnf(t514,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t512:2)],[m_s3_type11_24]) ).
cnf(t515,plain,
$false,
inference(connection,[status(thm),parent(t514:1)],[t514:1,t512:2]) ).
cnf(t516,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t514:2)],[m_s3_type12_28]) ).
cnf(t517,plain,
$false,
inference(connection,[status(thm),parent(t516:1)],[t516:1,t514:2]) ).
cnf(t518,plain,
p_15(a),
inference(extension,[status(thm),parent(t516:2)],[m_t3_2]) ).
cnf(t519,plain,
$false,
inference(connection,[status(thm),parent(t518:1)],[t518:1,t516:2]) ).
cnf(t520,plain,
q_14(a),
inference(extension,[status(thm),parent(t516:3)],[m_t3_3]) ).
cnf(t521,plain,
$false,
inference(connection,[status(thm),parent(t520:1)],[t520:1,t516:3]) ).
cnf(l227,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t514:2),below(t512:2)],[t514:2]) ).
cnf(t522,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t514:3)],[m_s3_type12_26]) ).
cnf(t523,plain,
$false,
inference(connection,[status(thm),parent(t522:1)],[t522:1,t514:3]) ).
cnf(t524,plain,
p_14(a),
inference(extension,[status(thm),parent(t522:2)],[m_t3_1]) ).
cnf(t525,plain,
$false,
inference(connection,[status(thm),parent(t524:1)],[t524:1,t522:2]) ).
cnf(t526,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t522:3)],[l227:1]) ).
cnf(t527,plain,
$false,
inference(connection,[status(thm),parent(t526:1)],[t526:1,t522:3]) ).
cnf(t528,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t512:3)],[m_s3_type12_22]) ).
cnf(t529,plain,
$false,
inference(connection,[status(thm),parent(t528:1)],[t528:1,t512:3]) ).
cnf(t530,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t528:2)],[m_s3_type11_26]) ).
cnf(t531,plain,
$false,
inference(connection,[status(thm),parent(t530:1)],[t530:1,t528:2]) ).
cnf(t532,plain,
q_14(a),
inference(extension,[status(thm),parent(t530:2)],[m_t3_3]) ).
cnf(t533,plain,
$false,
inference(connection,[status(thm),parent(t532:1)],[t532:1,t530:2]) ).
cnf(l234,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t530:2),below(t528:2)],[t530:2]) ).
cnf(t534,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t530:3)],[m_s3_type12_28]) ).
cnf(t535,plain,
$false,
inference(connection,[status(thm),parent(t534:1)],[t534:1,t530:3]) ).
cnf(t536,plain,
p_15(a),
inference(extension,[status(thm),parent(t534:2)],[m_t3_2]) ).
cnf(t537,plain,
$false,
inference(connection,[status(thm),parent(t536:1)],[t536:1,t534:2]) ).
cnf(t538,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t534:3)],[l234:1]) ).
cnf(t539,plain,
$false,
inference(connection,[status(thm),parent(t538:1)],[t538:1,t534:3]) ).
cnf(t540,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t528:3)],[m_s3_type12_24]) ).
cnf(t541,plain,
$false,
inference(connection,[status(thm),parent(t540:1)],[t540:1,t528:3]) ).
cnf(t542,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t540:2)],[m_s3_type11_28]) ).
cnf(t543,plain,
$false,
inference(connection,[status(thm),parent(t542:1)],[t542:1,t540:2]) ).
cnf(t544,plain,
q_15(a),
inference(extension,[status(thm),parent(t542:2)],[m_t3_4]) ).
cnf(t545,plain,
$false,
inference(connection,[status(thm),parent(t544:1)],[t544:1,t542:2]) ).
cnf(t546,plain,
q_14(a),
inference(extension,[status(thm),parent(t542:3)],[m_t3_3]) ).
cnf(t547,plain,
$false,
inference(connection,[status(thm),parent(t546:1)],[t546:1,t542:3]) ).
cnf(l238,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t540:2),below(t528:3)],[t540:2]) ).
cnf(t548,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t540:3)],[m_s3_type12_25]) ).
cnf(t549,plain,
$false,
inference(connection,[status(thm),parent(t548:1)],[t548:1,t540:3]) ).
cnf(t550,plain,
q_14(a),
inference(extension,[status(thm),parent(t548:2)],[m_t3_3]) ).
cnf(t551,plain,
$false,
inference(connection,[status(thm),parent(t550:1)],[t550:1,t548:2]) ).
cnf(t552,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t548:3)],[l238:1]) ).
cnf(t553,plain,
$false,
inference(connection,[status(thm),parent(t552:1)],[t552:1,t548:3]) ).
cnf(l225,lemma,
q_9(a),
inference(lemma,[status(cth),parent(t510:2),below(t508:2)],[t510:2]) ).
cnf(t554,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t510:3)],[m_s3_type12_18]) ).
cnf(t555,plain,
$false,
inference(connection,[status(thm),parent(t554:1)],[t554:1,t510:3]) ).
cnf(t556,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t554:2)],[m_s3_type11_22]) ).
cnf(t557,plain,
$false,
inference(connection,[status(thm),parent(t556:1)],[t556:1,t554:2]) ).
cnf(t558,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t556:2)],[m_s3_type12_26]) ).
cnf(t559,plain,
$false,
inference(connection,[status(thm),parent(t558:1)],[t558:1,t556:2]) ).
cnf(t560,plain,
p_14(a),
inference(extension,[status(thm),parent(t558:2)],[m_t3_1]) ).
cnf(t561,plain,
$false,
inference(connection,[status(thm),parent(t560:1)],[t560:1,t558:2]) ).
cnf(t562,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t558:3)],[m_s3_type12_28]) ).
cnf(t563,plain,
$false,
inference(connection,[status(thm),parent(t562:1)],[t562:1,t558:3]) ).
cnf(t564,plain,
p_15(a),
inference(extension,[status(thm),parent(t562:2)],[m_t3_2]) ).
cnf(t565,plain,
$false,
inference(connection,[status(thm),parent(t564:1)],[t564:1,t562:2]) ).
cnf(t566,plain,
q_14(a),
inference(extension,[status(thm),parent(t562:3)],[m_t3_3]) ).
cnf(t567,plain,
$false,
inference(connection,[status(thm),parent(t566:1)],[t566:1,t562:3]) ).
cnf(l245,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t556:2),below(t554:2)],[t556:2]) ).
cnf(t568,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t556:3)],[m_s3_type12_24]) ).
cnf(t569,plain,
$false,
inference(connection,[status(thm),parent(t568:1)],[t568:1,t556:3]) ).
cnf(t570,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t568:2)],[m_s3_type11_28]) ).
cnf(t571,plain,
$false,
inference(connection,[status(thm),parent(t570:1)],[t570:1,t568:2]) ).
cnf(t572,plain,
q_15(a),
inference(extension,[status(thm),parent(t570:2)],[m_t3_4]) ).
cnf(t573,plain,
$false,
inference(connection,[status(thm),parent(t572:1)],[t572:1,t570:2]) ).
cnf(t574,plain,
q_14(a),
inference(extension,[status(thm),parent(t570:3)],[m_t3_3]) ).
cnf(t575,plain,
$false,
inference(connection,[status(thm),parent(t574:1)],[t574:1,t570:3]) ).
cnf(t576,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t568:3)],[l245:1]) ).
cnf(t577,plain,
$false,
inference(connection,[status(thm),parent(t576:1)],[t576:1,t568:3]) ).
cnf(t578,plain,
q_9(a),
inference(lemma_extension,[status(thm),parent(t554:3)],[l225:1]) ).
cnf(t579,plain,
$false,
inference(connection,[status(thm),parent(t578:1)],[t578:1,t554:3]) ).
cnf(l224,lemma,
p_7(a),
inference(lemma,[status(cth),parent(t508:2),below(t400:3)],[t508:2]) ).
cnf(t580,plain,
( ~ p_7(a)
| ~ q_8(a)
| q_6(a) ),
inference(extension,[status(thm),parent(t508:3)],[m_s3_type12_13]) ).
cnf(t581,plain,
$false,
inference(connection,[status(thm),parent(t580:1)],[t580:1,t508:3]) ).
cnf(t582,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t580:2)],[m_s3_type12_18]) ).
cnf(t583,plain,
$false,
inference(connection,[status(thm),parent(t582:1)],[t582:1,t580:2]) ).
cnf(t584,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t582:2)],[m_s3_type11_22]) ).
cnf(t585,plain,
$false,
inference(connection,[status(thm),parent(t584:1)],[t584:1,t582:2]) ).
cnf(t586,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t584:2)],[m_s3_type12_26]) ).
cnf(t587,plain,
$false,
inference(connection,[status(thm),parent(t586:1)],[t586:1,t584:2]) ).
cnf(t588,plain,
p_14(a),
inference(extension,[status(thm),parent(t586:2)],[m_t3_1]) ).
cnf(t589,plain,
$false,
inference(connection,[status(thm),parent(t588:1)],[t588:1,t586:2]) ).
cnf(t590,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t586:3)],[m_s3_type12_28]) ).
cnf(t591,plain,
$false,
inference(connection,[status(thm),parent(t590:1)],[t590:1,t586:3]) ).
cnf(t592,plain,
p_15(a),
inference(extension,[status(thm),parent(t590:2)],[m_t3_2]) ).
cnf(t593,plain,
$false,
inference(connection,[status(thm),parent(t592:1)],[t592:1,t590:2]) ).
cnf(t594,plain,
q_14(a),
inference(extension,[status(thm),parent(t590:3)],[m_t3_3]) ).
cnf(t595,plain,
$false,
inference(connection,[status(thm),parent(t594:1)],[t594:1,t590:3]) ).
cnf(l257,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t584:2),below(t582:2)],[t584:2]) ).
cnf(t596,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t584:3)],[m_s3_type12_24]) ).
cnf(t597,plain,
$false,
inference(connection,[status(thm),parent(t596:1)],[t596:1,t584:3]) ).
cnf(t598,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t596:2)],[m_s3_type11_28]) ).
cnf(t599,plain,
$false,
inference(connection,[status(thm),parent(t598:1)],[t598:1,t596:2]) ).
cnf(t600,plain,
q_15(a),
inference(extension,[status(thm),parent(t598:2)],[m_t3_4]) ).
cnf(t601,plain,
$false,
inference(connection,[status(thm),parent(t600:1)],[t600:1,t598:2]) ).
cnf(t602,plain,
q_14(a),
inference(extension,[status(thm),parent(t598:3)],[m_t3_3]) ).
cnf(t603,plain,
$false,
inference(connection,[status(thm),parent(t602:1)],[t602:1,t598:3]) ).
cnf(t604,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t596:3)],[l257:1]) ).
cnf(t605,plain,
$false,
inference(connection,[status(thm),parent(t604:1)],[t604:1,t596:3]) ).
cnf(l256,lemma,
p_10(a),
inference(lemma,[status(cth),parent(t582:2),below(t580:2)],[t582:2]) ).
cnf(t606,plain,
( ~ p_10(a)
| ~ q_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t582:3)],[m_s3_type12_19]) ).
cnf(t607,plain,
$false,
inference(connection,[status(thm),parent(t606:1)],[t606:1,t582:3]) ).
cnf(t608,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t606:2)],[m_s3_type12_24]) ).
cnf(t609,plain,
$false,
inference(connection,[status(thm),parent(t608:1)],[t608:1,t606:2]) ).
cnf(t610,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t608:2)],[m_s3_type11_28]) ).
cnf(t611,plain,
$false,
inference(connection,[status(thm),parent(t610:1)],[t610:1,t608:2]) ).
cnf(t612,plain,
q_15(a),
inference(extension,[status(thm),parent(t610:2)],[m_t3_4]) ).
cnf(t613,plain,
$false,
inference(connection,[status(thm),parent(t612:1)],[t612:1,t610:2]) ).
cnf(t614,plain,
q_14(a),
inference(extension,[status(thm),parent(t610:3)],[m_t3_3]) ).
cnf(t615,plain,
$false,
inference(connection,[status(thm),parent(t614:1)],[t614:1,t610:3]) ).
cnf(l268,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t608:2),below(t606:2)],[t608:2]) ).
cnf(t616,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t608:3)],[m_s3_type12_25]) ).
cnf(t617,plain,
$false,
inference(connection,[status(thm),parent(t616:1)],[t616:1,t608:3]) ).
cnf(t618,plain,
q_14(a),
inference(extension,[status(thm),parent(t616:2)],[m_t3_3]) ).
cnf(t619,plain,
$false,
inference(connection,[status(thm),parent(t618:1)],[t618:1,t616:2]) ).
cnf(t620,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t616:3)],[l268:1]) ).
cnf(t621,plain,
$false,
inference(connection,[status(thm),parent(t620:1)],[t620:1,t616:3]) ).
cnf(t622,plain,
p_10(a),
inference(lemma_extension,[status(thm),parent(t606:3)],[l256:1]) ).
cnf(t623,plain,
$false,
inference(connection,[status(thm),parent(t622:1)],[t622:1,t606:3]) ).
cnf(t624,plain,
p_7(a),
inference(lemma_extension,[status(thm),parent(t580:3)],[l224:1]) ).
cnf(t625,plain,
$false,
inference(connection,[status(thm),parent(t624:1)],[t624:1,t580:3]) ).
cnf(l2,lemma,
q_2(a),
inference(lemma,[status(cth),parent(t2:2),below(t1:1)],[t2:2]) ).
cnf(t626,plain,
( ~ q_2(a)
| ~ p_3(a)
| q_1(a) ),
inference(extension,[status(thm),parent(t2:3)],[m_s3_type12_4]) ).
cnf(t627,plain,
$false,
inference(connection,[status(thm),parent(t626:1)],[t626:1,t2:3]) ).
cnf(t628,plain,
( ~ q_4(a)
| ~ q_5(a)
| p_3(a) ),
inference(extension,[status(thm),parent(t626:2)],[m_s3_type11_8]) ).
cnf(t629,plain,
$false,
inference(connection,[status(thm),parent(t628:1)],[t628:1,t626:2]) ).
cnf(t630,plain,
( ~ q_6(a)
| ~ p_7(a)
| q_5(a) ),
inference(extension,[status(thm),parent(t628:2)],[m_s3_type12_12]) ).
cnf(t631,plain,
$false,
inference(connection,[status(thm),parent(t630:1)],[t630:1,t628:2]) ).
cnf(t632,plain,
( ~ q_8(a)
| ~ q_9(a)
| p_7(a) ),
inference(extension,[status(thm),parent(t630:2)],[m_s3_type11_16]) ).
cnf(t633,plain,
$false,
inference(connection,[status(thm),parent(t632:1)],[t632:1,t630:2]) ).
cnf(t634,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t632:2)],[m_s3_type12_20]) ).
cnf(t635,plain,
$false,
inference(connection,[status(thm),parent(t634:1)],[t634:1,t632:2]) ).
cnf(t636,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t634:2)],[m_s3_type11_24]) ).
cnf(t637,plain,
$false,
inference(connection,[status(thm),parent(t636:1)],[t636:1,t634:2]) ).
cnf(t638,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t636:2)],[m_s3_type12_28]) ).
cnf(t639,plain,
$false,
inference(connection,[status(thm),parent(t638:1)],[t638:1,t636:2]) ).
cnf(t640,plain,
p_15(a),
inference(extension,[status(thm),parent(t638:2)],[m_t3_2]) ).
cnf(t641,plain,
$false,
inference(connection,[status(thm),parent(t640:1)],[t640:1,t638:2]) ).
cnf(t642,plain,
q_14(a),
inference(extension,[status(thm),parent(t638:3)],[m_t3_3]) ).
cnf(t643,plain,
$false,
inference(connection,[status(thm),parent(t642:1)],[t642:1,t638:3]) ).
cnf(l279,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t636:2),below(t634:2)],[t636:2]) ).
cnf(t644,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t636:3)],[m_s3_type12_26]) ).
cnf(t645,plain,
$false,
inference(connection,[status(thm),parent(t644:1)],[t644:1,t636:3]) ).
cnf(t646,plain,
p_14(a),
inference(extension,[status(thm),parent(t644:2)],[m_t3_1]) ).
cnf(t647,plain,
$false,
inference(connection,[status(thm),parent(t646:1)],[t646:1,t644:2]) ).
cnf(t648,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t644:3)],[l279:1]) ).
cnf(t649,plain,
$false,
inference(connection,[status(thm),parent(t648:1)],[t648:1,t644:3]) ).
cnf(t650,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t634:3)],[m_s3_type12_22]) ).
cnf(t651,plain,
$false,
inference(connection,[status(thm),parent(t650:1)],[t650:1,t634:3]) ).
cnf(t652,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t650:2)],[m_s3_type11_26]) ).
cnf(t653,plain,
$false,
inference(connection,[status(thm),parent(t652:1)],[t652:1,t650:2]) ).
cnf(t654,plain,
q_14(a),
inference(extension,[status(thm),parent(t652:2)],[m_t3_3]) ).
cnf(t655,plain,
$false,
inference(connection,[status(thm),parent(t654:1)],[t654:1,t652:2]) ).
cnf(l286,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t652:2),below(t650:2)],[t652:2]) ).
cnf(t656,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t652:3)],[m_s3_type12_28]) ).
cnf(t657,plain,
$false,
inference(connection,[status(thm),parent(t656:1)],[t656:1,t652:3]) ).
cnf(t658,plain,
p_15(a),
inference(extension,[status(thm),parent(t656:2)],[m_t3_2]) ).
cnf(t659,plain,
$false,
inference(connection,[status(thm),parent(t658:1)],[t658:1,t656:2]) ).
cnf(t660,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t656:3)],[l286:1]) ).
cnf(t661,plain,
$false,
inference(connection,[status(thm),parent(t660:1)],[t660:1,t656:3]) ).
cnf(t662,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t650:3)],[m_s3_type12_24]) ).
cnf(t663,plain,
$false,
inference(connection,[status(thm),parent(t662:1)],[t662:1,t650:3]) ).
cnf(t664,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t662:2)],[m_s3_type11_28]) ).
cnf(t665,plain,
$false,
inference(connection,[status(thm),parent(t664:1)],[t664:1,t662:2]) ).
cnf(t666,plain,
q_15(a),
inference(extension,[status(thm),parent(t664:2)],[m_t3_4]) ).
cnf(t667,plain,
$false,
inference(connection,[status(thm),parent(t666:1)],[t666:1,t664:2]) ).
cnf(t668,plain,
q_14(a),
inference(extension,[status(thm),parent(t664:3)],[m_t3_3]) ).
cnf(t669,plain,
$false,
inference(connection,[status(thm),parent(t668:1)],[t668:1,t664:3]) ).
cnf(t670,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t662:3)],[m_s3_type12_26]) ).
cnf(t671,plain,
$false,
inference(connection,[status(thm),parent(t670:1)],[t670:1,t662:3]) ).
cnf(t672,plain,
p_14(a),
inference(extension,[status(thm),parent(t670:2)],[m_t3_1]) ).
cnf(t673,plain,
$false,
inference(connection,[status(thm),parent(t672:1)],[t672:1,t670:2]) ).
cnf(t674,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t670:3)],[m_s3_type12_28]) ).
cnf(t675,plain,
$false,
inference(connection,[status(thm),parent(t674:1)],[t674:1,t670:3]) ).
cnf(t676,plain,
p_15(a),
inference(extension,[status(thm),parent(t674:2)],[m_t3_2]) ).
cnf(t677,plain,
$false,
inference(connection,[status(thm),parent(t676:1)],[t676:1,t674:2]) ).
cnf(t678,plain,
q_14(a),
inference(extension,[status(thm),parent(t674:3)],[m_t3_3]) ).
cnf(t679,plain,
$false,
inference(connection,[status(thm),parent(t678:1)],[t678:1,t674:3]) ).
cnf(l277,lemma,
q_9(a),
inference(lemma,[status(cth),parent(t632:2),below(t630:2)],[t632:2]) ).
cnf(t680,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t632:3)],[m_s3_type12_18]) ).
cnf(t681,plain,
$false,
inference(connection,[status(thm),parent(t680:1)],[t680:1,t632:3]) ).
cnf(t682,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t680:2)],[m_s3_type11_22]) ).
cnf(t683,plain,
$false,
inference(connection,[status(thm),parent(t682:1)],[t682:1,t680:2]) ).
cnf(t684,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t682:2)],[m_s3_type12_26]) ).
cnf(t685,plain,
$false,
inference(connection,[status(thm),parent(t684:1)],[t684:1,t682:2]) ).
cnf(t686,plain,
p_14(a),
inference(extension,[status(thm),parent(t684:2)],[m_t3_1]) ).
cnf(t687,plain,
$false,
inference(connection,[status(thm),parent(t686:1)],[t686:1,t684:2]) ).
cnf(t688,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t684:3)],[m_s3_type12_28]) ).
cnf(t689,plain,
$false,
inference(connection,[status(thm),parent(t688:1)],[t688:1,t684:3]) ).
cnf(t690,plain,
p_15(a),
inference(extension,[status(thm),parent(t688:2)],[m_t3_2]) ).
cnf(t691,plain,
$false,
inference(connection,[status(thm),parent(t690:1)],[t690:1,t688:2]) ).
cnf(t692,plain,
q_14(a),
inference(extension,[status(thm),parent(t688:3)],[m_t3_3]) ).
cnf(t693,plain,
$false,
inference(connection,[status(thm),parent(t692:1)],[t692:1,t688:3]) ).
cnf(l300,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t682:2),below(t680:2)],[t682:2]) ).
cnf(t694,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t682:3)],[m_s3_type12_24]) ).
cnf(t695,plain,
$false,
inference(connection,[status(thm),parent(t694:1)],[t694:1,t682:3]) ).
cnf(t696,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t694:2)],[m_s3_type11_28]) ).
cnf(t697,plain,
$false,
inference(connection,[status(thm),parent(t696:1)],[t696:1,t694:2]) ).
cnf(t698,plain,
q_15(a),
inference(extension,[status(thm),parent(t696:2)],[m_t3_4]) ).
cnf(t699,plain,
$false,
inference(connection,[status(thm),parent(t698:1)],[t698:1,t696:2]) ).
cnf(t700,plain,
q_14(a),
inference(extension,[status(thm),parent(t696:3)],[m_t3_3]) ).
cnf(t701,plain,
$false,
inference(connection,[status(thm),parent(t700:1)],[t700:1,t696:3]) ).
cnf(t702,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t694:3)],[l300:1]) ).
cnf(t703,plain,
$false,
inference(connection,[status(thm),parent(t702:1)],[t702:1,t694:3]) ).
cnf(t704,plain,
q_9(a),
inference(lemma_extension,[status(thm),parent(t680:3)],[l277:1]) ).
cnf(t705,plain,
$false,
inference(connection,[status(thm),parent(t704:1)],[t704:1,t680:3]) ).
cnf(t706,plain,
( ~ q_7(a)
| ~ p_8(a)
| q_6(a) ),
inference(extension,[status(thm),parent(t630:3)],[m_s3_type12_14]) ).
cnf(t707,plain,
$false,
inference(connection,[status(thm),parent(t706:1)],[t706:1,t630:3]) ).
cnf(t708,plain,
( ~ q_9(a)
| ~ q_10(a)
| p_8(a) ),
inference(extension,[status(thm),parent(t706:2)],[m_s3_type11_18]) ).
cnf(t709,plain,
$false,
inference(connection,[status(thm),parent(t708:1)],[t708:1,t706:2]) ).
cnf(t710,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t708:2)],[m_s3_type12_22]) ).
cnf(t711,plain,
$false,
inference(connection,[status(thm),parent(t710:1)],[t710:1,t708:2]) ).
cnf(t712,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t710:2)],[m_s3_type11_26]) ).
cnf(t713,plain,
$false,
inference(connection,[status(thm),parent(t712:1)],[t712:1,t710:2]) ).
cnf(t714,plain,
q_14(a),
inference(extension,[status(thm),parent(t712:2)],[m_t3_3]) ).
cnf(t715,plain,
$false,
inference(connection,[status(thm),parent(t714:1)],[t714:1,t712:2]) ).
cnf(l313,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t712:2),below(t710:2)],[t712:2]) ).
cnf(t716,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t712:3)],[m_s3_type12_28]) ).
cnf(t717,plain,
$false,
inference(connection,[status(thm),parent(t716:1)],[t716:1,t712:3]) ).
cnf(t718,plain,
p_15(a),
inference(extension,[status(thm),parent(t716:2)],[m_t3_2]) ).
cnf(t719,plain,
$false,
inference(connection,[status(thm),parent(t718:1)],[t718:1,t716:2]) ).
cnf(t720,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t716:3)],[l313:1]) ).
cnf(t721,plain,
$false,
inference(connection,[status(thm),parent(t720:1)],[t720:1,t716:3]) ).
cnf(t722,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t710:3)],[m_s3_type12_24]) ).
cnf(t723,plain,
$false,
inference(connection,[status(thm),parent(t722:1)],[t722:1,t710:3]) ).
cnf(t724,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t722:2)],[m_s3_type11_28]) ).
cnf(t725,plain,
$false,
inference(connection,[status(thm),parent(t724:1)],[t724:1,t722:2]) ).
cnf(t726,plain,
q_15(a),
inference(extension,[status(thm),parent(t724:2)],[m_t3_4]) ).
cnf(t727,plain,
$false,
inference(connection,[status(thm),parent(t726:1)],[t726:1,t724:2]) ).
cnf(t728,plain,
q_14(a),
inference(extension,[status(thm),parent(t724:3)],[m_t3_3]) ).
cnf(t729,plain,
$false,
inference(connection,[status(thm),parent(t728:1)],[t728:1,t724:3]) ).
cnf(t730,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t722:3)],[m_s3_type12_26]) ).
cnf(t731,plain,
$false,
inference(connection,[status(thm),parent(t730:1)],[t730:1,t722:3]) ).
cnf(t732,plain,
p_14(a),
inference(extension,[status(thm),parent(t730:2)],[m_t3_1]) ).
cnf(t733,plain,
$false,
inference(connection,[status(thm),parent(t732:1)],[t732:1,t730:2]) ).
cnf(t734,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t730:3)],[m_s3_type12_28]) ).
cnf(t735,plain,
$false,
inference(connection,[status(thm),parent(t734:1)],[t734:1,t730:3]) ).
cnf(t736,plain,
p_15(a),
inference(extension,[status(thm),parent(t734:2)],[m_t3_2]) ).
cnf(t737,plain,
$false,
inference(connection,[status(thm),parent(t736:1)],[t736:1,t734:2]) ).
cnf(t738,plain,
q_14(a),
inference(extension,[status(thm),parent(t734:3)],[m_t3_3]) ).
cnf(t739,plain,
$false,
inference(connection,[status(thm),parent(t738:1)],[t738:1,t734:3]) ).
cnf(l311,lemma,
q_10(a),
inference(lemma,[status(cth),parent(t708:2),below(t706:2)],[t708:2]) ).
cnf(t740,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t708:3)],[m_s3_type12_20]) ).
cnf(t741,plain,
$false,
inference(connection,[status(thm),parent(t740:1)],[t740:1,t708:3]) ).
cnf(t742,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t740:2)],[m_s3_type11_24]) ).
cnf(t743,plain,
$false,
inference(connection,[status(thm),parent(t742:1)],[t742:1,t740:2]) ).
cnf(t744,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t742:2)],[m_s3_type12_28]) ).
cnf(t745,plain,
$false,
inference(connection,[status(thm),parent(t744:1)],[t744:1,t742:2]) ).
cnf(t746,plain,
p_15(a),
inference(extension,[status(thm),parent(t744:2)],[m_t3_2]) ).
cnf(t747,plain,
$false,
inference(connection,[status(thm),parent(t746:1)],[t746:1,t744:2]) ).
cnf(t748,plain,
q_14(a),
inference(extension,[status(thm),parent(t744:3)],[m_t3_3]) ).
cnf(t749,plain,
$false,
inference(connection,[status(thm),parent(t748:1)],[t748:1,t744:3]) ).
cnf(l327,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t742:2),below(t740:2)],[t742:2]) ).
cnf(t750,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t742:3)],[m_s3_type12_26]) ).
cnf(t751,plain,
$false,
inference(connection,[status(thm),parent(t750:1)],[t750:1,t742:3]) ).
cnf(t752,plain,
p_14(a),
inference(extension,[status(thm),parent(t750:2)],[m_t3_1]) ).
cnf(t753,plain,
$false,
inference(connection,[status(thm),parent(t752:1)],[t752:1,t750:2]) ).
cnf(t754,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t750:3)],[l327:1]) ).
cnf(t755,plain,
$false,
inference(connection,[status(thm),parent(t754:1)],[t754:1,t750:3]) ).
cnf(t756,plain,
q_10(a),
inference(lemma_extension,[status(thm),parent(t740:3)],[l311:1]) ).
cnf(t757,plain,
$false,
inference(connection,[status(thm),parent(t756:1)],[t756:1,t740:3]) ).
cnf(t758,plain,
( ~ q_8(a)
| ~ p_9(a)
| q_7(a) ),
inference(extension,[status(thm),parent(t706:3)],[m_s3_type12_16]) ).
cnf(t759,plain,
$false,
inference(connection,[status(thm),parent(t758:1)],[t758:1,t706:3]) ).
cnf(t760,plain,
( ~ q_10(a)
| ~ q_11(a)
| p_9(a) ),
inference(extension,[status(thm),parent(t758:2)],[m_s3_type11_20]) ).
cnf(t761,plain,
$false,
inference(connection,[status(thm),parent(t760:1)],[t760:1,t758:2]) ).
cnf(t762,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t760:2)],[m_s3_type12_24]) ).
cnf(t763,plain,
$false,
inference(connection,[status(thm),parent(t762:1)],[t762:1,t760:2]) ).
cnf(t764,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t762:2)],[m_s3_type11_28]) ).
cnf(t765,plain,
$false,
inference(connection,[status(thm),parent(t764:1)],[t764:1,t762:2]) ).
cnf(t766,plain,
q_15(a),
inference(extension,[status(thm),parent(t764:2)],[m_t3_4]) ).
cnf(t767,plain,
$false,
inference(connection,[status(thm),parent(t766:1)],[t766:1,t764:2]) ).
cnf(t768,plain,
q_14(a),
inference(extension,[status(thm),parent(t764:3)],[m_t3_3]) ).
cnf(t769,plain,
$false,
inference(connection,[status(thm),parent(t768:1)],[t768:1,t764:3]) ).
cnf(t770,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t762:3)],[m_s3_type12_26]) ).
cnf(t771,plain,
$false,
inference(connection,[status(thm),parent(t770:1)],[t770:1,t762:3]) ).
cnf(t772,plain,
p_14(a),
inference(extension,[status(thm),parent(t770:2)],[m_t3_1]) ).
cnf(t773,plain,
$false,
inference(connection,[status(thm),parent(t772:1)],[t772:1,t770:2]) ).
cnf(t774,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t770:3)],[m_s3_type12_28]) ).
cnf(t775,plain,
$false,
inference(connection,[status(thm),parent(t774:1)],[t774:1,t770:3]) ).
cnf(t776,plain,
p_15(a),
inference(extension,[status(thm),parent(t774:2)],[m_t3_2]) ).
cnf(t777,plain,
$false,
inference(connection,[status(thm),parent(t776:1)],[t776:1,t774:2]) ).
cnf(t778,plain,
q_14(a),
inference(extension,[status(thm),parent(t774:3)],[m_t3_3]) ).
cnf(t779,plain,
$false,
inference(connection,[status(thm),parent(t778:1)],[t778:1,t774:3]) ).
cnf(l334,lemma,
q_11(a),
inference(lemma,[status(cth),parent(t760:2),below(t758:2)],[t760:2]) ).
cnf(t780,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t760:3)],[m_s3_type12_22]) ).
cnf(t781,plain,
$false,
inference(connection,[status(thm),parent(t780:1)],[t780:1,t760:3]) ).
cnf(t782,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t780:2)],[m_s3_type11_26]) ).
cnf(t783,plain,
$false,
inference(connection,[status(thm),parent(t782:1)],[t782:1,t780:2]) ).
cnf(t784,plain,
q_14(a),
inference(extension,[status(thm),parent(t782:2)],[m_t3_3]) ).
cnf(t785,plain,
$false,
inference(connection,[status(thm),parent(t784:1)],[t784:1,t782:2]) ).
cnf(l345,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t782:2),below(t780:2)],[t782:2]) ).
cnf(t786,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t782:3)],[m_s3_type12_28]) ).
cnf(t787,plain,
$false,
inference(connection,[status(thm),parent(t786:1)],[t786:1,t782:3]) ).
cnf(t788,plain,
p_15(a),
inference(extension,[status(thm),parent(t786:2)],[m_t3_2]) ).
cnf(t789,plain,
$false,
inference(connection,[status(thm),parent(t788:1)],[t788:1,t786:2]) ).
cnf(t790,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t786:3)],[l345:1]) ).
cnf(t791,plain,
$false,
inference(connection,[status(thm),parent(t790:1)],[t790:1,t786:3]) ).
cnf(t792,plain,
q_11(a),
inference(lemma_extension,[status(thm),parent(t780:3)],[l334:1]) ).
cnf(t793,plain,
$false,
inference(connection,[status(thm),parent(t792:1)],[t792:1,t780:3]) ).
cnf(t794,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t758:3)],[m_s3_type12_18]) ).
cnf(t795,plain,
$false,
inference(connection,[status(thm),parent(t794:1)],[t794:1,t758:3]) ).
cnf(t796,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t794:2)],[m_s3_type11_22]) ).
cnf(t797,plain,
$false,
inference(connection,[status(thm),parent(t796:1)],[t796:1,t794:2]) ).
cnf(t798,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t796:2)],[m_s3_type12_26]) ).
cnf(t799,plain,
$false,
inference(connection,[status(thm),parent(t798:1)],[t798:1,t796:2]) ).
cnf(t800,plain,
p_14(a),
inference(extension,[status(thm),parent(t798:2)],[m_t3_1]) ).
cnf(t801,plain,
$false,
inference(connection,[status(thm),parent(t800:1)],[t800:1,t798:2]) ).
cnf(t802,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t798:3)],[m_s3_type12_28]) ).
cnf(t803,plain,
$false,
inference(connection,[status(thm),parent(t802:1)],[t802:1,t798:3]) ).
cnf(t804,plain,
p_15(a),
inference(extension,[status(thm),parent(t802:2)],[m_t3_2]) ).
cnf(t805,plain,
$false,
inference(connection,[status(thm),parent(t804:1)],[t804:1,t802:2]) ).
cnf(t806,plain,
q_14(a),
inference(extension,[status(thm),parent(t802:3)],[m_t3_3]) ).
cnf(t807,plain,
$false,
inference(connection,[status(thm),parent(t806:1)],[t806:1,t802:3]) ).
cnf(l350,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t796:2),below(t794:2)],[t796:2]) ).
cnf(t808,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t796:3)],[m_s3_type12_24]) ).
cnf(t809,plain,
$false,
inference(connection,[status(thm),parent(t808:1)],[t808:1,t796:3]) ).
cnf(t810,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t808:2)],[m_s3_type11_28]) ).
cnf(t811,plain,
$false,
inference(connection,[status(thm),parent(t810:1)],[t810:1,t808:2]) ).
cnf(t812,plain,
q_15(a),
inference(extension,[status(thm),parent(t810:2)],[m_t3_4]) ).
cnf(t813,plain,
$false,
inference(connection,[status(thm),parent(t812:1)],[t812:1,t810:2]) ).
cnf(t814,plain,
q_14(a),
inference(extension,[status(thm),parent(t810:3)],[m_t3_3]) ).
cnf(t815,plain,
$false,
inference(connection,[status(thm),parent(t814:1)],[t814:1,t810:3]) ).
cnf(t816,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t808:3)],[l350:1]) ).
cnf(t817,plain,
$false,
inference(connection,[status(thm),parent(t816:1)],[t816:1,t808:3]) ).
cnf(l349,lemma,
p_10(a),
inference(lemma,[status(cth),parent(t794:2),below(t758:3)],[t794:2]) ).
cnf(t818,plain,
( ~ p_10(a)
| ~ q_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t794:3)],[m_s3_type12_19]) ).
cnf(t819,plain,
$false,
inference(connection,[status(thm),parent(t818:1)],[t818:1,t794:3]) ).
cnf(t820,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t818:2)],[m_s3_type12_24]) ).
cnf(t821,plain,
$false,
inference(connection,[status(thm),parent(t820:1)],[t820:1,t818:2]) ).
cnf(t822,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t820:2)],[m_s3_type11_28]) ).
cnf(t823,plain,
$false,
inference(connection,[status(thm),parent(t822:1)],[t822:1,t820:2]) ).
cnf(t824,plain,
q_15(a),
inference(extension,[status(thm),parent(t822:2)],[m_t3_4]) ).
cnf(t825,plain,
$false,
inference(connection,[status(thm),parent(t824:1)],[t824:1,t822:2]) ).
cnf(t826,plain,
q_14(a),
inference(extension,[status(thm),parent(t822:3)],[m_t3_3]) ).
cnf(t827,plain,
$false,
inference(connection,[status(thm),parent(t826:1)],[t826:1,t822:3]) ).
cnf(l361,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t820:2),below(t818:2)],[t820:2]) ).
cnf(t828,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t820:3)],[m_s3_type12_25]) ).
cnf(t829,plain,
$false,
inference(connection,[status(thm),parent(t828:1)],[t828:1,t820:3]) ).
cnf(t830,plain,
q_14(a),
inference(extension,[status(thm),parent(t828:2)],[m_t3_3]) ).
cnf(t831,plain,
$false,
inference(connection,[status(thm),parent(t830:1)],[t830:1,t828:2]) ).
cnf(t832,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t828:3)],[l361:1]) ).
cnf(t833,plain,
$false,
inference(connection,[status(thm),parent(t832:1)],[t832:1,t828:3]) ).
cnf(t834,plain,
p_10(a),
inference(lemma_extension,[status(thm),parent(t818:3)],[l349:1]) ).
cnf(t835,plain,
$false,
inference(connection,[status(thm),parent(t834:1)],[t834:1,t818:3]) ).
cnf(l275,lemma,
q_5(a),
inference(lemma,[status(cth),parent(t628:2),below(t626:2)],[t628:2]) ).
cnf(t836,plain,
( ~ q_5(a)
| ~ p_6(a)
| q_4(a) ),
inference(extension,[status(thm),parent(t628:3)],[m_s3_type12_10]) ).
cnf(t837,plain,
$false,
inference(connection,[status(thm),parent(t836:1)],[t836:1,t628:3]) ).
cnf(t838,plain,
( ~ q_7(a)
| ~ q_8(a)
| p_6(a) ),
inference(extension,[status(thm),parent(t836:2)],[m_s3_type11_14]) ).
cnf(t839,plain,
$false,
inference(connection,[status(thm),parent(t838:1)],[t838:1,t836:2]) ).
cnf(t840,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t838:2)],[m_s3_type12_18]) ).
cnf(t841,plain,
$false,
inference(connection,[status(thm),parent(t840:1)],[t840:1,t838:2]) ).
cnf(t842,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t840:2)],[m_s3_type11_22]) ).
cnf(t843,plain,
$false,
inference(connection,[status(thm),parent(t842:1)],[t842:1,t840:2]) ).
cnf(t844,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t842:2)],[m_s3_type12_26]) ).
cnf(t845,plain,
$false,
inference(connection,[status(thm),parent(t844:1)],[t844:1,t842:2]) ).
cnf(t846,plain,
p_14(a),
inference(extension,[status(thm),parent(t844:2)],[m_t3_1]) ).
cnf(t847,plain,
$false,
inference(connection,[status(thm),parent(t846:1)],[t846:1,t844:2]) ).
cnf(t848,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t844:3)],[m_s3_type12_28]) ).
cnf(t849,plain,
$false,
inference(connection,[status(thm),parent(t848:1)],[t848:1,t844:3]) ).
cnf(t850,plain,
p_15(a),
inference(extension,[status(thm),parent(t848:2)],[m_t3_2]) ).
cnf(t851,plain,
$false,
inference(connection,[status(thm),parent(t850:1)],[t850:1,t848:2]) ).
cnf(t852,plain,
q_14(a),
inference(extension,[status(thm),parent(t848:3)],[m_t3_3]) ).
cnf(t853,plain,
$false,
inference(connection,[status(thm),parent(t852:1)],[t852:1,t848:3]) ).
cnf(l370,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t842:2),below(t840:2)],[t842:2]) ).
cnf(t854,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t842:3)],[m_s3_type12_24]) ).
cnf(t855,plain,
$false,
inference(connection,[status(thm),parent(t854:1)],[t854:1,t842:3]) ).
cnf(t856,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t854:2)],[m_s3_type11_28]) ).
cnf(t857,plain,
$false,
inference(connection,[status(thm),parent(t856:1)],[t856:1,t854:2]) ).
cnf(t858,plain,
q_15(a),
inference(extension,[status(thm),parent(t856:2)],[m_t3_4]) ).
cnf(t859,plain,
$false,
inference(connection,[status(thm),parent(t858:1)],[t858:1,t856:2]) ).
cnf(t860,plain,
q_14(a),
inference(extension,[status(thm),parent(t856:3)],[m_t3_3]) ).
cnf(t861,plain,
$false,
inference(connection,[status(thm),parent(t860:1)],[t860:1,t856:3]) ).
cnf(t862,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t854:3)],[l370:1]) ).
cnf(t863,plain,
$false,
inference(connection,[status(thm),parent(t862:1)],[t862:1,t854:3]) ).
cnf(t864,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t840:3)],[m_s3_type12_20]) ).
cnf(t865,plain,
$false,
inference(connection,[status(thm),parent(t864:1)],[t864:1,t840:3]) ).
cnf(t866,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t864:2)],[m_s3_type11_24]) ).
cnf(t867,plain,
$false,
inference(connection,[status(thm),parent(t866:1)],[t866:1,t864:2]) ).
cnf(t868,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t866:2)],[m_s3_type12_28]) ).
cnf(t869,plain,
$false,
inference(connection,[status(thm),parent(t868:1)],[t868:1,t866:2]) ).
cnf(t870,plain,
p_15(a),
inference(extension,[status(thm),parent(t868:2)],[m_t3_2]) ).
cnf(t871,plain,
$false,
inference(connection,[status(thm),parent(t870:1)],[t870:1,t868:2]) ).
cnf(t872,plain,
q_14(a),
inference(extension,[status(thm),parent(t868:3)],[m_t3_3]) ).
cnf(t873,plain,
$false,
inference(connection,[status(thm),parent(t872:1)],[t872:1,t868:3]) ).
cnf(l381,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t866:2),below(t864:2)],[t866:2]) ).
cnf(t874,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t866:3)],[m_s3_type12_26]) ).
cnf(t875,plain,
$false,
inference(connection,[status(thm),parent(t874:1)],[t874:1,t866:3]) ).
cnf(t876,plain,
p_14(a),
inference(extension,[status(thm),parent(t874:2)],[m_t3_1]) ).
cnf(t877,plain,
$false,
inference(connection,[status(thm),parent(t876:1)],[t876:1,t874:2]) ).
cnf(t878,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t874:3)],[l381:1]) ).
cnf(t879,plain,
$false,
inference(connection,[status(thm),parent(t878:1)],[t878:1,t874:3]) ).
cnf(t880,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t864:3)],[m_s3_type12_22]) ).
cnf(t881,plain,
$false,
inference(connection,[status(thm),parent(t880:1)],[t880:1,t864:3]) ).
cnf(t882,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t880:2)],[m_s3_type11_26]) ).
cnf(t883,plain,
$false,
inference(connection,[status(thm),parent(t882:1)],[t882:1,t880:2]) ).
cnf(t884,plain,
q_14(a),
inference(extension,[status(thm),parent(t882:2)],[m_t3_3]) ).
cnf(t885,plain,
$false,
inference(connection,[status(thm),parent(t884:1)],[t884:1,t882:2]) ).
cnf(l388,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t882:2),below(t880:2)],[t882:2]) ).
cnf(t886,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t882:3)],[m_s3_type12_28]) ).
cnf(t887,plain,
$false,
inference(connection,[status(thm),parent(t886:1)],[t886:1,t882:3]) ).
cnf(t888,plain,
p_15(a),
inference(extension,[status(thm),parent(t886:2)],[m_t3_2]) ).
cnf(t889,plain,
$false,
inference(connection,[status(thm),parent(t888:1)],[t888:1,t886:2]) ).
cnf(t890,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t886:3)],[l388:1]) ).
cnf(t891,plain,
$false,
inference(connection,[status(thm),parent(t890:1)],[t890:1,t886:3]) ).
cnf(t892,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t880:3)],[m_s3_type12_24]) ).
cnf(t893,plain,
$false,
inference(connection,[status(thm),parent(t892:1)],[t892:1,t880:3]) ).
cnf(t894,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t892:2)],[m_s3_type11_28]) ).
cnf(t895,plain,
$false,
inference(connection,[status(thm),parent(t894:1)],[t894:1,t892:2]) ).
cnf(t896,plain,
q_15(a),
inference(extension,[status(thm),parent(t894:2)],[m_t3_4]) ).
cnf(t897,plain,
$false,
inference(connection,[status(thm),parent(t896:1)],[t896:1,t894:2]) ).
cnf(t898,plain,
q_14(a),
inference(extension,[status(thm),parent(t894:3)],[m_t3_3]) ).
cnf(t899,plain,
$false,
inference(connection,[status(thm),parent(t898:1)],[t898:1,t894:3]) ).
cnf(l392,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t892:2),below(t880:3)],[t892:2]) ).
cnf(t900,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t892:3)],[m_s3_type12_25]) ).
cnf(t901,plain,
$false,
inference(connection,[status(thm),parent(t900:1)],[t900:1,t892:3]) ).
cnf(t902,plain,
q_14(a),
inference(extension,[status(thm),parent(t900:2)],[m_t3_3]) ).
cnf(t903,plain,
$false,
inference(connection,[status(thm),parent(t902:1)],[t902:1,t900:2]) ).
cnf(t904,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t900:3)],[l392:1]) ).
cnf(t905,plain,
$false,
inference(connection,[status(thm),parent(t904:1)],[t904:1,t900:3]) ).
cnf(l368,lemma,
q_8(a),
inference(lemma,[status(cth),parent(t838:2),below(t836:2)],[t838:2]) ).
cnf(t906,plain,
( ~ q_8(a)
| ~ p_9(a)
| q_7(a) ),
inference(extension,[status(thm),parent(t838:3)],[m_s3_type12_16]) ).
cnf(t907,plain,
$false,
inference(connection,[status(thm),parent(t906:1)],[t906:1,t838:3]) ).
cnf(t908,plain,
( ~ q_10(a)
| ~ q_11(a)
| p_9(a) ),
inference(extension,[status(thm),parent(t906:2)],[m_s3_type11_20]) ).
cnf(t909,plain,
$false,
inference(connection,[status(thm),parent(t908:1)],[t908:1,t906:2]) ).
cnf(t910,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t908:2)],[m_s3_type12_24]) ).
cnf(t911,plain,
$false,
inference(connection,[status(thm),parent(t910:1)],[t910:1,t908:2]) ).
cnf(t912,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t910:2)],[m_s3_type11_28]) ).
cnf(t913,plain,
$false,
inference(connection,[status(thm),parent(t912:1)],[t912:1,t910:2]) ).
cnf(t914,plain,
q_15(a),
inference(extension,[status(thm),parent(t912:2)],[m_t3_4]) ).
cnf(t915,plain,
$false,
inference(connection,[status(thm),parent(t914:1)],[t914:1,t912:2]) ).
cnf(t916,plain,
q_14(a),
inference(extension,[status(thm),parent(t912:3)],[m_t3_3]) ).
cnf(t917,plain,
$false,
inference(connection,[status(thm),parent(t916:1)],[t916:1,t912:3]) ).
cnf(t918,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t910:3)],[m_s3_type12_26]) ).
cnf(t919,plain,
$false,
inference(connection,[status(thm),parent(t918:1)],[t918:1,t910:3]) ).
cnf(t920,plain,
p_14(a),
inference(extension,[status(thm),parent(t918:2)],[m_t3_1]) ).
cnf(t921,plain,
$false,
inference(connection,[status(thm),parent(t920:1)],[t920:1,t918:2]) ).
cnf(t922,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t918:3)],[m_s3_type12_28]) ).
cnf(t923,plain,
$false,
inference(connection,[status(thm),parent(t922:1)],[t922:1,t918:3]) ).
cnf(t924,plain,
p_15(a),
inference(extension,[status(thm),parent(t922:2)],[m_t3_2]) ).
cnf(t925,plain,
$false,
inference(connection,[status(thm),parent(t924:1)],[t924:1,t922:2]) ).
cnf(t926,plain,
q_14(a),
inference(extension,[status(thm),parent(t922:3)],[m_t3_3]) ).
cnf(t927,plain,
$false,
inference(connection,[status(thm),parent(t926:1)],[t926:1,t922:3]) ).
cnf(l399,lemma,
q_11(a),
inference(lemma,[status(cth),parent(t908:2),below(t906:2)],[t908:2]) ).
cnf(t928,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t908:3)],[m_s3_type12_22]) ).
cnf(t929,plain,
$false,
inference(connection,[status(thm),parent(t928:1)],[t928:1,t908:3]) ).
cnf(t930,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t928:2)],[m_s3_type11_26]) ).
cnf(t931,plain,
$false,
inference(connection,[status(thm),parent(t930:1)],[t930:1,t928:2]) ).
cnf(t932,plain,
q_14(a),
inference(extension,[status(thm),parent(t930:2)],[m_t3_3]) ).
cnf(t933,plain,
$false,
inference(connection,[status(thm),parent(t932:1)],[t932:1,t930:2]) ).
cnf(l410,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t930:2),below(t928:2)],[t930:2]) ).
cnf(t934,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t930:3)],[m_s3_type12_28]) ).
cnf(t935,plain,
$false,
inference(connection,[status(thm),parent(t934:1)],[t934:1,t930:3]) ).
cnf(t936,plain,
p_15(a),
inference(extension,[status(thm),parent(t934:2)],[m_t3_2]) ).
cnf(t937,plain,
$false,
inference(connection,[status(thm),parent(t936:1)],[t936:1,t934:2]) ).
cnf(t938,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t934:3)],[l410:1]) ).
cnf(t939,plain,
$false,
inference(connection,[status(thm),parent(t938:1)],[t938:1,t934:3]) ).
cnf(t940,plain,
q_11(a),
inference(lemma_extension,[status(thm),parent(t928:3)],[l399:1]) ).
cnf(t941,plain,
$false,
inference(connection,[status(thm),parent(t940:1)],[t940:1,t928:3]) ).
cnf(t942,plain,
q_8(a),
inference(lemma_extension,[status(thm),parent(t906:3)],[l368:1]) ).
cnf(t943,plain,
$false,
inference(connection,[status(thm),parent(t942:1)],[t942:1,t906:3]) ).
cnf(t944,plain,
q_5(a),
inference(lemma_extension,[status(thm),parent(t836:3)],[l275:1]) ).
cnf(t945,plain,
$false,
inference(connection,[status(thm),parent(t944:1)],[t944:1,t836:3]) ).
cnf(t946,plain,
q_2(a),
inference(lemma_extension,[status(thm),parent(t626:3)],[l2:1]) ).
cnf(t947,plain,
$false,
inference(connection,[status(thm),parent(t946:1)],[t946:1,t626:3]) ).
cnf(t948,plain,
( ~ q_1(a)
| ~ p_2(a)
| q_0(a) ),
inference(extension,[status(thm),parent(t1:2)],[m_s3_type12_2]) ).
cnf(t949,plain,
$false,
inference(connection,[status(thm),parent(t948:1)],[t948:1,t1:2]) ).
cnf(t950,plain,
( ~ q_3(a)
| ~ q_4(a)
| p_2(a) ),
inference(extension,[status(thm),parent(t948:2)],[m_s3_type11_6]) ).
cnf(t951,plain,
$false,
inference(connection,[status(thm),parent(t950:1)],[t950:1,t948:2]) ).
cnf(t952,plain,
( ~ q_5(a)
| ~ p_6(a)
| q_4(a) ),
inference(extension,[status(thm),parent(t950:2)],[m_s3_type12_10]) ).
cnf(t953,plain,
$false,
inference(connection,[status(thm),parent(t952:1)],[t952:1,t950:2]) ).
cnf(t954,plain,
( ~ q_7(a)
| ~ q_8(a)
| p_6(a) ),
inference(extension,[status(thm),parent(t952:2)],[m_s3_type11_14]) ).
cnf(t955,plain,
$false,
inference(connection,[status(thm),parent(t954:1)],[t954:1,t952:2]) ).
cnf(t956,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t954:2)],[m_s3_type12_18]) ).
cnf(t957,plain,
$false,
inference(connection,[status(thm),parent(t956:1)],[t956:1,t954:2]) ).
cnf(t958,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t956:2)],[m_s3_type11_22]) ).
cnf(t959,plain,
$false,
inference(connection,[status(thm),parent(t958:1)],[t958:1,t956:2]) ).
cnf(t960,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t958:2)],[m_s3_type12_26]) ).
cnf(t961,plain,
$false,
inference(connection,[status(thm),parent(t960:1)],[t960:1,t958:2]) ).
cnf(t962,plain,
p_14(a),
inference(extension,[status(thm),parent(t960:2)],[m_t3_1]) ).
cnf(t963,plain,
$false,
inference(connection,[status(thm),parent(t962:1)],[t962:1,t960:2]) ).
cnf(t964,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t960:3)],[m_s3_type12_28]) ).
cnf(t965,plain,
$false,
inference(connection,[status(thm),parent(t964:1)],[t964:1,t960:3]) ).
cnf(t966,plain,
p_15(a),
inference(extension,[status(thm),parent(t964:2)],[m_t3_2]) ).
cnf(t967,plain,
$false,
inference(connection,[status(thm),parent(t966:1)],[t966:1,t964:2]) ).
cnf(t968,plain,
q_14(a),
inference(extension,[status(thm),parent(t964:3)],[m_t3_3]) ).
cnf(t969,plain,
$false,
inference(connection,[status(thm),parent(t968:1)],[t968:1,t964:3]) ).
cnf(l419,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t958:2),below(t956:2)],[t958:2]) ).
cnf(t970,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t958:3)],[m_s3_type12_24]) ).
cnf(t971,plain,
$false,
inference(connection,[status(thm),parent(t970:1)],[t970:1,t958:3]) ).
cnf(t972,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t970:2)],[m_s3_type11_28]) ).
cnf(t973,plain,
$false,
inference(connection,[status(thm),parent(t972:1)],[t972:1,t970:2]) ).
cnf(t974,plain,
q_15(a),
inference(extension,[status(thm),parent(t972:2)],[m_t3_4]) ).
cnf(t975,plain,
$false,
inference(connection,[status(thm),parent(t974:1)],[t974:1,t972:2]) ).
cnf(t976,plain,
q_14(a),
inference(extension,[status(thm),parent(t972:3)],[m_t3_3]) ).
cnf(t977,plain,
$false,
inference(connection,[status(thm),parent(t976:1)],[t976:1,t972:3]) ).
cnf(t978,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t970:3)],[l419:1]) ).
cnf(t979,plain,
$false,
inference(connection,[status(thm),parent(t978:1)],[t978:1,t970:3]) ).
cnf(t980,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t956:3)],[m_s3_type12_20]) ).
cnf(t981,plain,
$false,
inference(connection,[status(thm),parent(t980:1)],[t980:1,t956:3]) ).
cnf(t982,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t980:2)],[m_s3_type11_24]) ).
cnf(t983,plain,
$false,
inference(connection,[status(thm),parent(t982:1)],[t982:1,t980:2]) ).
cnf(t984,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t982:2)],[m_s3_type12_28]) ).
cnf(t985,plain,
$false,
inference(connection,[status(thm),parent(t984:1)],[t984:1,t982:2]) ).
cnf(t986,plain,
p_15(a),
inference(extension,[status(thm),parent(t984:2)],[m_t3_2]) ).
cnf(t987,plain,
$false,
inference(connection,[status(thm),parent(t986:1)],[t986:1,t984:2]) ).
cnf(t988,plain,
q_14(a),
inference(extension,[status(thm),parent(t984:3)],[m_t3_3]) ).
cnf(t989,plain,
$false,
inference(connection,[status(thm),parent(t988:1)],[t988:1,t984:3]) ).
cnf(l430,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t982:2),below(t980:2)],[t982:2]) ).
cnf(t990,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t982:3)],[m_s3_type12_26]) ).
cnf(t991,plain,
$false,
inference(connection,[status(thm),parent(t990:1)],[t990:1,t982:3]) ).
cnf(t992,plain,
p_14(a),
inference(extension,[status(thm),parent(t990:2)],[m_t3_1]) ).
cnf(t993,plain,
$false,
inference(connection,[status(thm),parent(t992:1)],[t992:1,t990:2]) ).
cnf(t994,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t990:3)],[l430:1]) ).
cnf(t995,plain,
$false,
inference(connection,[status(thm),parent(t994:1)],[t994:1,t990:3]) ).
cnf(t996,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t980:3)],[m_s3_type12_22]) ).
cnf(t997,plain,
$false,
inference(connection,[status(thm),parent(t996:1)],[t996:1,t980:3]) ).
cnf(t998,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t996:2)],[m_s3_type11_26]) ).
cnf(t999,plain,
$false,
inference(connection,[status(thm),parent(t998:1)],[t998:1,t996:2]) ).
cnf(t1000,plain,
q_14(a),
inference(extension,[status(thm),parent(t998:2)],[m_t3_3]) ).
cnf(t1001,plain,
$false,
inference(connection,[status(thm),parent(t1000:1)],[t1000:1,t998:2]) ).
cnf(l437,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t998:2),below(t996:2)],[t998:2]) ).
cnf(t1002,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t998:3)],[m_s3_type12_28]) ).
cnf(t1003,plain,
$false,
inference(connection,[status(thm),parent(t1002:1)],[t1002:1,t998:3]) ).
cnf(t1004,plain,
p_15(a),
inference(extension,[status(thm),parent(t1002:2)],[m_t3_2]) ).
cnf(t1005,plain,
$false,
inference(connection,[status(thm),parent(t1004:1)],[t1004:1,t1002:2]) ).
cnf(t1006,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1002:3)],[l437:1]) ).
cnf(t1007,plain,
$false,
inference(connection,[status(thm),parent(t1006:1)],[t1006:1,t1002:3]) ).
cnf(t1008,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t996:3)],[m_s3_type12_24]) ).
cnf(t1009,plain,
$false,
inference(connection,[status(thm),parent(t1008:1)],[t1008:1,t996:3]) ).
cnf(t1010,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1008:2)],[m_s3_type11_28]) ).
cnf(t1011,plain,
$false,
inference(connection,[status(thm),parent(t1010:1)],[t1010:1,t1008:2]) ).
cnf(t1012,plain,
q_15(a),
inference(extension,[status(thm),parent(t1010:2)],[m_t3_4]) ).
cnf(t1013,plain,
$false,
inference(connection,[status(thm),parent(t1012:1)],[t1012:1,t1010:2]) ).
cnf(t1014,plain,
q_14(a),
inference(extension,[status(thm),parent(t1010:3)],[m_t3_3]) ).
cnf(t1015,plain,
$false,
inference(connection,[status(thm),parent(t1014:1)],[t1014:1,t1010:3]) ).
cnf(t1016,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1008:3)],[m_s3_type12_26]) ).
cnf(t1017,plain,
$false,
inference(connection,[status(thm),parent(t1016:1)],[t1016:1,t1008:3]) ).
cnf(t1018,plain,
p_14(a),
inference(extension,[status(thm),parent(t1016:2)],[m_t3_1]) ).
cnf(t1019,plain,
$false,
inference(connection,[status(thm),parent(t1018:1)],[t1018:1,t1016:2]) ).
cnf(t1020,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1016:3)],[m_s3_type12_28]) ).
cnf(t1021,plain,
$false,
inference(connection,[status(thm),parent(t1020:1)],[t1020:1,t1016:3]) ).
cnf(t1022,plain,
p_15(a),
inference(extension,[status(thm),parent(t1020:2)],[m_t3_2]) ).
cnf(t1023,plain,
$false,
inference(connection,[status(thm),parent(t1022:1)],[t1022:1,t1020:2]) ).
cnf(t1024,plain,
q_14(a),
inference(extension,[status(thm),parent(t1020:3)],[m_t3_3]) ).
cnf(t1025,plain,
$false,
inference(connection,[status(thm),parent(t1024:1)],[t1024:1,t1020:3]) ).
cnf(l417,lemma,
q_8(a),
inference(lemma,[status(cth),parent(t954:2),below(t952:2)],[t954:2]) ).
cnf(t1026,plain,
( ~ q_8(a)
| ~ p_9(a)
| q_7(a) ),
inference(extension,[status(thm),parent(t954:3)],[m_s3_type12_16]) ).
cnf(t1027,plain,
$false,
inference(connection,[status(thm),parent(t1026:1)],[t1026:1,t954:3]) ).
cnf(t1028,plain,
( ~ q_10(a)
| ~ q_11(a)
| p_9(a) ),
inference(extension,[status(thm),parent(t1026:2)],[m_s3_type11_20]) ).
cnf(t1029,plain,
$false,
inference(connection,[status(thm),parent(t1028:1)],[t1028:1,t1026:2]) ).
cnf(t1030,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1028:2)],[m_s3_type12_24]) ).
cnf(t1031,plain,
$false,
inference(connection,[status(thm),parent(t1030:1)],[t1030:1,t1028:2]) ).
cnf(t1032,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1030:2)],[m_s3_type11_28]) ).
cnf(t1033,plain,
$false,
inference(connection,[status(thm),parent(t1032:1)],[t1032:1,t1030:2]) ).
cnf(t1034,plain,
q_15(a),
inference(extension,[status(thm),parent(t1032:2)],[m_t3_4]) ).
cnf(t1035,plain,
$false,
inference(connection,[status(thm),parent(t1034:1)],[t1034:1,t1032:2]) ).
cnf(t1036,plain,
q_14(a),
inference(extension,[status(thm),parent(t1032:3)],[m_t3_3]) ).
cnf(t1037,plain,
$false,
inference(connection,[status(thm),parent(t1036:1)],[t1036:1,t1032:3]) ).
cnf(t1038,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1030:3)],[m_s3_type12_26]) ).
cnf(t1039,plain,
$false,
inference(connection,[status(thm),parent(t1038:1)],[t1038:1,t1030:3]) ).
cnf(t1040,plain,
p_14(a),
inference(extension,[status(thm),parent(t1038:2)],[m_t3_1]) ).
cnf(t1041,plain,
$false,
inference(connection,[status(thm),parent(t1040:1)],[t1040:1,t1038:2]) ).
cnf(t1042,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1038:3)],[m_s3_type12_28]) ).
cnf(t1043,plain,
$false,
inference(connection,[status(thm),parent(t1042:1)],[t1042:1,t1038:3]) ).
cnf(t1044,plain,
p_15(a),
inference(extension,[status(thm),parent(t1042:2)],[m_t3_2]) ).
cnf(t1045,plain,
$false,
inference(connection,[status(thm),parent(t1044:1)],[t1044:1,t1042:2]) ).
cnf(t1046,plain,
q_14(a),
inference(extension,[status(thm),parent(t1042:3)],[m_t3_3]) ).
cnf(t1047,plain,
$false,
inference(connection,[status(thm),parent(t1046:1)],[t1046:1,t1042:3]) ).
cnf(l451,lemma,
q_11(a),
inference(lemma,[status(cth),parent(t1028:2),below(t1026:2)],[t1028:2]) ).
cnf(t1048,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1028:3)],[m_s3_type12_22]) ).
cnf(t1049,plain,
$false,
inference(connection,[status(thm),parent(t1048:1)],[t1048:1,t1028:3]) ).
cnf(t1050,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1048:2)],[m_s3_type11_26]) ).
cnf(t1051,plain,
$false,
inference(connection,[status(thm),parent(t1050:1)],[t1050:1,t1048:2]) ).
cnf(t1052,plain,
q_14(a),
inference(extension,[status(thm),parent(t1050:2)],[m_t3_3]) ).
cnf(t1053,plain,
$false,
inference(connection,[status(thm),parent(t1052:1)],[t1052:1,t1050:2]) ).
cnf(l462,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1050:2),below(t1048:2)],[t1050:2]) ).
cnf(t1054,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1050:3)],[m_s3_type12_28]) ).
cnf(t1055,plain,
$false,
inference(connection,[status(thm),parent(t1054:1)],[t1054:1,t1050:3]) ).
cnf(t1056,plain,
p_15(a),
inference(extension,[status(thm),parent(t1054:2)],[m_t3_2]) ).
cnf(t1057,plain,
$false,
inference(connection,[status(thm),parent(t1056:1)],[t1056:1,t1054:2]) ).
cnf(t1058,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1054:3)],[l462:1]) ).
cnf(t1059,plain,
$false,
inference(connection,[status(thm),parent(t1058:1)],[t1058:1,t1054:3]) ).
cnf(t1060,plain,
q_11(a),
inference(lemma_extension,[status(thm),parent(t1048:3)],[l451:1]) ).
cnf(t1061,plain,
$false,
inference(connection,[status(thm),parent(t1060:1)],[t1060:1,t1048:3]) ).
cnf(t1062,plain,
q_8(a),
inference(lemma_extension,[status(thm),parent(t1026:3)],[l417:1]) ).
cnf(t1063,plain,
$false,
inference(connection,[status(thm),parent(t1062:1)],[t1062:1,t1026:3]) ).
cnf(t1064,plain,
( ~ q_6(a)
| ~ p_7(a)
| q_5(a) ),
inference(extension,[status(thm),parent(t952:3)],[m_s3_type12_12]) ).
cnf(t1065,plain,
$false,
inference(connection,[status(thm),parent(t1064:1)],[t1064:1,t952:3]) ).
cnf(t1066,plain,
( ~ q_8(a)
| ~ q_9(a)
| p_7(a) ),
inference(extension,[status(thm),parent(t1064:2)],[m_s3_type11_16]) ).
cnf(t1067,plain,
$false,
inference(connection,[status(thm),parent(t1066:1)],[t1066:1,t1064:2]) ).
cnf(t1068,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t1066:2)],[m_s3_type12_20]) ).
cnf(t1069,plain,
$false,
inference(connection,[status(thm),parent(t1068:1)],[t1068:1,t1066:2]) ).
cnf(t1070,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t1068:2)],[m_s3_type11_24]) ).
cnf(t1071,plain,
$false,
inference(connection,[status(thm),parent(t1070:1)],[t1070:1,t1068:2]) ).
cnf(t1072,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1070:2)],[m_s3_type12_28]) ).
cnf(t1073,plain,
$false,
inference(connection,[status(thm),parent(t1072:1)],[t1072:1,t1070:2]) ).
cnf(t1074,plain,
p_15(a),
inference(extension,[status(thm),parent(t1072:2)],[m_t3_2]) ).
cnf(t1075,plain,
$false,
inference(connection,[status(thm),parent(t1074:1)],[t1074:1,t1072:2]) ).
cnf(t1076,plain,
q_14(a),
inference(extension,[status(thm),parent(t1072:3)],[m_t3_3]) ).
cnf(t1077,plain,
$false,
inference(connection,[status(thm),parent(t1076:1)],[t1076:1,t1072:3]) ).
cnf(l469,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t1070:2),below(t1068:2)],[t1070:2]) ).
cnf(t1078,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1070:3)],[m_s3_type12_26]) ).
cnf(t1079,plain,
$false,
inference(connection,[status(thm),parent(t1078:1)],[t1078:1,t1070:3]) ).
cnf(t1080,plain,
p_14(a),
inference(extension,[status(thm),parent(t1078:2)],[m_t3_1]) ).
cnf(t1081,plain,
$false,
inference(connection,[status(thm),parent(t1080:1)],[t1080:1,t1078:2]) ).
cnf(t1082,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t1078:3)],[l469:1]) ).
cnf(t1083,plain,
$false,
inference(connection,[status(thm),parent(t1082:1)],[t1082:1,t1078:3]) ).
cnf(t1084,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1068:3)],[m_s3_type12_22]) ).
cnf(t1085,plain,
$false,
inference(connection,[status(thm),parent(t1084:1)],[t1084:1,t1068:3]) ).
cnf(t1086,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1084:2)],[m_s3_type11_26]) ).
cnf(t1087,plain,
$false,
inference(connection,[status(thm),parent(t1086:1)],[t1086:1,t1084:2]) ).
cnf(t1088,plain,
q_14(a),
inference(extension,[status(thm),parent(t1086:2)],[m_t3_3]) ).
cnf(t1089,plain,
$false,
inference(connection,[status(thm),parent(t1088:1)],[t1088:1,t1086:2]) ).
cnf(l476,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1086:2),below(t1084:2)],[t1086:2]) ).
cnf(t1090,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1086:3)],[m_s3_type12_28]) ).
cnf(t1091,plain,
$false,
inference(connection,[status(thm),parent(t1090:1)],[t1090:1,t1086:3]) ).
cnf(t1092,plain,
p_15(a),
inference(extension,[status(thm),parent(t1090:2)],[m_t3_2]) ).
cnf(t1093,plain,
$false,
inference(connection,[status(thm),parent(t1092:1)],[t1092:1,t1090:2]) ).
cnf(t1094,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1090:3)],[l476:1]) ).
cnf(t1095,plain,
$false,
inference(connection,[status(thm),parent(t1094:1)],[t1094:1,t1090:3]) ).
cnf(t1096,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1084:3)],[m_s3_type12_24]) ).
cnf(t1097,plain,
$false,
inference(connection,[status(thm),parent(t1096:1)],[t1096:1,t1084:3]) ).
cnf(t1098,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1096:2)],[m_s3_type11_28]) ).
cnf(t1099,plain,
$false,
inference(connection,[status(thm),parent(t1098:1)],[t1098:1,t1096:2]) ).
cnf(t1100,plain,
q_15(a),
inference(extension,[status(thm),parent(t1098:2)],[m_t3_4]) ).
cnf(t1101,plain,
$false,
inference(connection,[status(thm),parent(t1100:1)],[t1100:1,t1098:2]) ).
cnf(t1102,plain,
q_14(a),
inference(extension,[status(thm),parent(t1098:3)],[m_t3_3]) ).
cnf(t1103,plain,
$false,
inference(connection,[status(thm),parent(t1102:1)],[t1102:1,t1098:3]) ).
cnf(t1104,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1096:3)],[m_s3_type12_26]) ).
cnf(t1105,plain,
$false,
inference(connection,[status(thm),parent(t1104:1)],[t1104:1,t1096:3]) ).
cnf(t1106,plain,
p_14(a),
inference(extension,[status(thm),parent(t1104:2)],[m_t3_1]) ).
cnf(t1107,plain,
$false,
inference(connection,[status(thm),parent(t1106:1)],[t1106:1,t1104:2]) ).
cnf(t1108,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1104:3)],[m_s3_type12_28]) ).
cnf(t1109,plain,
$false,
inference(connection,[status(thm),parent(t1108:1)],[t1108:1,t1104:3]) ).
cnf(t1110,plain,
p_15(a),
inference(extension,[status(thm),parent(t1108:2)],[m_t3_2]) ).
cnf(t1111,plain,
$false,
inference(connection,[status(thm),parent(t1110:1)],[t1110:1,t1108:2]) ).
cnf(t1112,plain,
q_14(a),
inference(extension,[status(thm),parent(t1108:3)],[m_t3_3]) ).
cnf(t1113,plain,
$false,
inference(connection,[status(thm),parent(t1112:1)],[t1112:1,t1108:3]) ).
cnf(l467,lemma,
q_9(a),
inference(lemma,[status(cth),parent(t1066:2),below(t1064:2)],[t1066:2]) ).
cnf(t1114,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t1066:3)],[m_s3_type12_18]) ).
cnf(t1115,plain,
$false,
inference(connection,[status(thm),parent(t1114:1)],[t1114:1,t1066:3]) ).
cnf(t1116,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t1114:2)],[m_s3_type11_22]) ).
cnf(t1117,plain,
$false,
inference(connection,[status(thm),parent(t1116:1)],[t1116:1,t1114:2]) ).
cnf(t1118,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1116:2)],[m_s3_type12_26]) ).
cnf(t1119,plain,
$false,
inference(connection,[status(thm),parent(t1118:1)],[t1118:1,t1116:2]) ).
cnf(t1120,plain,
p_14(a),
inference(extension,[status(thm),parent(t1118:2)],[m_t3_1]) ).
cnf(t1121,plain,
$false,
inference(connection,[status(thm),parent(t1120:1)],[t1120:1,t1118:2]) ).
cnf(t1122,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1118:3)],[m_s3_type12_28]) ).
cnf(t1123,plain,
$false,
inference(connection,[status(thm),parent(t1122:1)],[t1122:1,t1118:3]) ).
cnf(t1124,plain,
p_15(a),
inference(extension,[status(thm),parent(t1122:2)],[m_t3_2]) ).
cnf(t1125,plain,
$false,
inference(connection,[status(thm),parent(t1124:1)],[t1124:1,t1122:2]) ).
cnf(t1126,plain,
q_14(a),
inference(extension,[status(thm),parent(t1122:3)],[m_t3_3]) ).
cnf(t1127,plain,
$false,
inference(connection,[status(thm),parent(t1126:1)],[t1126:1,t1122:3]) ).
cnf(l490,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t1116:2),below(t1114:2)],[t1116:2]) ).
cnf(t1128,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1116:3)],[m_s3_type12_24]) ).
cnf(t1129,plain,
$false,
inference(connection,[status(thm),parent(t1128:1)],[t1128:1,t1116:3]) ).
cnf(t1130,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1128:2)],[m_s3_type11_28]) ).
cnf(t1131,plain,
$false,
inference(connection,[status(thm),parent(t1130:1)],[t1130:1,t1128:2]) ).
cnf(t1132,plain,
q_15(a),
inference(extension,[status(thm),parent(t1130:2)],[m_t3_4]) ).
cnf(t1133,plain,
$false,
inference(connection,[status(thm),parent(t1132:1)],[t1132:1,t1130:2]) ).
cnf(t1134,plain,
q_14(a),
inference(extension,[status(thm),parent(t1130:3)],[m_t3_3]) ).
cnf(t1135,plain,
$false,
inference(connection,[status(thm),parent(t1134:1)],[t1134:1,t1130:3]) ).
cnf(t1136,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t1128:3)],[l490:1]) ).
cnf(t1137,plain,
$false,
inference(connection,[status(thm),parent(t1136:1)],[t1136:1,t1128:3]) ).
cnf(t1138,plain,
q_9(a),
inference(lemma_extension,[status(thm),parent(t1114:3)],[l467:1]) ).
cnf(t1139,plain,
$false,
inference(connection,[status(thm),parent(t1138:1)],[t1138:1,t1114:3]) ).
cnf(t1140,plain,
( ~ q_7(a)
| ~ p_8(a)
| q_6(a) ),
inference(extension,[status(thm),parent(t1064:3)],[m_s3_type12_14]) ).
cnf(t1141,plain,
$false,
inference(connection,[status(thm),parent(t1140:1)],[t1140:1,t1064:3]) ).
cnf(t1142,plain,
( ~ q_9(a)
| ~ q_10(a)
| p_8(a) ),
inference(extension,[status(thm),parent(t1140:2)],[m_s3_type11_18]) ).
cnf(t1143,plain,
$false,
inference(connection,[status(thm),parent(t1142:1)],[t1142:1,t1140:2]) ).
cnf(t1144,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1142:2)],[m_s3_type12_22]) ).
cnf(t1145,plain,
$false,
inference(connection,[status(thm),parent(t1144:1)],[t1144:1,t1142:2]) ).
cnf(t1146,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1144:2)],[m_s3_type11_26]) ).
cnf(t1147,plain,
$false,
inference(connection,[status(thm),parent(t1146:1)],[t1146:1,t1144:2]) ).
cnf(t1148,plain,
q_14(a),
inference(extension,[status(thm),parent(t1146:2)],[m_t3_3]) ).
cnf(t1149,plain,
$false,
inference(connection,[status(thm),parent(t1148:1)],[t1148:1,t1146:2]) ).
cnf(l503,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1146:2),below(t1144:2)],[t1146:2]) ).
cnf(t1150,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1146:3)],[m_s3_type12_28]) ).
cnf(t1151,plain,
$false,
inference(connection,[status(thm),parent(t1150:1)],[t1150:1,t1146:3]) ).
cnf(t1152,plain,
p_15(a),
inference(extension,[status(thm),parent(t1150:2)],[m_t3_2]) ).
cnf(t1153,plain,
$false,
inference(connection,[status(thm),parent(t1152:1)],[t1152:1,t1150:2]) ).
cnf(t1154,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1150:3)],[l503:1]) ).
cnf(t1155,plain,
$false,
inference(connection,[status(thm),parent(t1154:1)],[t1154:1,t1150:3]) ).
cnf(t1156,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1144:3)],[m_s3_type12_24]) ).
cnf(t1157,plain,
$false,
inference(connection,[status(thm),parent(t1156:1)],[t1156:1,t1144:3]) ).
cnf(t1158,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1156:2)],[m_s3_type11_28]) ).
cnf(t1159,plain,
$false,
inference(connection,[status(thm),parent(t1158:1)],[t1158:1,t1156:2]) ).
cnf(t1160,plain,
q_15(a),
inference(extension,[status(thm),parent(t1158:2)],[m_t3_4]) ).
cnf(t1161,plain,
$false,
inference(connection,[status(thm),parent(t1160:1)],[t1160:1,t1158:2]) ).
cnf(t1162,plain,
q_14(a),
inference(extension,[status(thm),parent(t1158:3)],[m_t3_3]) ).
cnf(t1163,plain,
$false,
inference(connection,[status(thm),parent(t1162:1)],[t1162:1,t1158:3]) ).
cnf(t1164,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1156:3)],[m_s3_type12_26]) ).
cnf(t1165,plain,
$false,
inference(connection,[status(thm),parent(t1164:1)],[t1164:1,t1156:3]) ).
cnf(t1166,plain,
p_14(a),
inference(extension,[status(thm),parent(t1164:2)],[m_t3_1]) ).
cnf(t1167,plain,
$false,
inference(connection,[status(thm),parent(t1166:1)],[t1166:1,t1164:2]) ).
cnf(t1168,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1164:3)],[m_s3_type12_28]) ).
cnf(t1169,plain,
$false,
inference(connection,[status(thm),parent(t1168:1)],[t1168:1,t1164:3]) ).
cnf(t1170,plain,
p_15(a),
inference(extension,[status(thm),parent(t1168:2)],[m_t3_2]) ).
cnf(t1171,plain,
$false,
inference(connection,[status(thm),parent(t1170:1)],[t1170:1,t1168:2]) ).
cnf(t1172,plain,
q_14(a),
inference(extension,[status(thm),parent(t1168:3)],[m_t3_3]) ).
cnf(t1173,plain,
$false,
inference(connection,[status(thm),parent(t1172:1)],[t1172:1,t1168:3]) ).
cnf(l501,lemma,
q_10(a),
inference(lemma,[status(cth),parent(t1142:2),below(t1140:2)],[t1142:2]) ).
cnf(t1174,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t1142:3)],[m_s3_type12_20]) ).
cnf(t1175,plain,
$false,
inference(connection,[status(thm),parent(t1174:1)],[t1174:1,t1142:3]) ).
cnf(t1176,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t1174:2)],[m_s3_type11_24]) ).
cnf(t1177,plain,
$false,
inference(connection,[status(thm),parent(t1176:1)],[t1176:1,t1174:2]) ).
cnf(t1178,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1176:2)],[m_s3_type12_28]) ).
cnf(t1179,plain,
$false,
inference(connection,[status(thm),parent(t1178:1)],[t1178:1,t1176:2]) ).
cnf(t1180,plain,
p_15(a),
inference(extension,[status(thm),parent(t1178:2)],[m_t3_2]) ).
cnf(t1181,plain,
$false,
inference(connection,[status(thm),parent(t1180:1)],[t1180:1,t1178:2]) ).
cnf(t1182,plain,
q_14(a),
inference(extension,[status(thm),parent(t1178:3)],[m_t3_3]) ).
cnf(t1183,plain,
$false,
inference(connection,[status(thm),parent(t1182:1)],[t1182:1,t1178:3]) ).
cnf(l517,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t1176:2),below(t1174:2)],[t1176:2]) ).
cnf(t1184,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1176:3)],[m_s3_type12_26]) ).
cnf(t1185,plain,
$false,
inference(connection,[status(thm),parent(t1184:1)],[t1184:1,t1176:3]) ).
cnf(t1186,plain,
p_14(a),
inference(extension,[status(thm),parent(t1184:2)],[m_t3_1]) ).
cnf(t1187,plain,
$false,
inference(connection,[status(thm),parent(t1186:1)],[t1186:1,t1184:2]) ).
cnf(t1188,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t1184:3)],[l517:1]) ).
cnf(t1189,plain,
$false,
inference(connection,[status(thm),parent(t1188:1)],[t1188:1,t1184:3]) ).
cnf(t1190,plain,
q_10(a),
inference(lemma_extension,[status(thm),parent(t1174:3)],[l501:1]) ).
cnf(t1191,plain,
$false,
inference(connection,[status(thm),parent(t1190:1)],[t1190:1,t1174:3]) ).
cnf(t1192,plain,
( ~ q_8(a)
| ~ p_9(a)
| q_7(a) ),
inference(extension,[status(thm),parent(t1140:3)],[m_s3_type12_16]) ).
cnf(t1193,plain,
$false,
inference(connection,[status(thm),parent(t1192:1)],[t1192:1,t1140:3]) ).
cnf(t1194,plain,
( ~ q_10(a)
| ~ q_11(a)
| p_9(a) ),
inference(extension,[status(thm),parent(t1192:2)],[m_s3_type11_20]) ).
cnf(t1195,plain,
$false,
inference(connection,[status(thm),parent(t1194:1)],[t1194:1,t1192:2]) ).
cnf(t1196,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1194:2)],[m_s3_type12_24]) ).
cnf(t1197,plain,
$false,
inference(connection,[status(thm),parent(t1196:1)],[t1196:1,t1194:2]) ).
cnf(t1198,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1196:2)],[m_s3_type11_28]) ).
cnf(t1199,plain,
$false,
inference(connection,[status(thm),parent(t1198:1)],[t1198:1,t1196:2]) ).
cnf(t1200,plain,
q_15(a),
inference(extension,[status(thm),parent(t1198:2)],[m_t3_4]) ).
cnf(t1201,plain,
$false,
inference(connection,[status(thm),parent(t1200:1)],[t1200:1,t1198:2]) ).
cnf(t1202,plain,
q_14(a),
inference(extension,[status(thm),parent(t1198:3)],[m_t3_3]) ).
cnf(t1203,plain,
$false,
inference(connection,[status(thm),parent(t1202:1)],[t1202:1,t1198:3]) ).
cnf(t1204,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1196:3)],[m_s3_type12_26]) ).
cnf(t1205,plain,
$false,
inference(connection,[status(thm),parent(t1204:1)],[t1204:1,t1196:3]) ).
cnf(t1206,plain,
p_14(a),
inference(extension,[status(thm),parent(t1204:2)],[m_t3_1]) ).
cnf(t1207,plain,
$false,
inference(connection,[status(thm),parent(t1206:1)],[t1206:1,t1204:2]) ).
cnf(t1208,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1204:3)],[m_s3_type12_28]) ).
cnf(t1209,plain,
$false,
inference(connection,[status(thm),parent(t1208:1)],[t1208:1,t1204:3]) ).
cnf(t1210,plain,
p_15(a),
inference(extension,[status(thm),parent(t1208:2)],[m_t3_2]) ).
cnf(t1211,plain,
$false,
inference(connection,[status(thm),parent(t1210:1)],[t1210:1,t1208:2]) ).
cnf(t1212,plain,
q_14(a),
inference(extension,[status(thm),parent(t1208:3)],[m_t3_3]) ).
cnf(t1213,plain,
$false,
inference(connection,[status(thm),parent(t1212:1)],[t1212:1,t1208:3]) ).
cnf(l524,lemma,
q_11(a),
inference(lemma,[status(cth),parent(t1194:2),below(t1192:2)],[t1194:2]) ).
cnf(t1214,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1194:3)],[m_s3_type12_22]) ).
cnf(t1215,plain,
$false,
inference(connection,[status(thm),parent(t1214:1)],[t1214:1,t1194:3]) ).
cnf(t1216,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1214:2)],[m_s3_type11_26]) ).
cnf(t1217,plain,
$false,
inference(connection,[status(thm),parent(t1216:1)],[t1216:1,t1214:2]) ).
cnf(t1218,plain,
q_14(a),
inference(extension,[status(thm),parent(t1216:2)],[m_t3_3]) ).
cnf(t1219,plain,
$false,
inference(connection,[status(thm),parent(t1218:1)],[t1218:1,t1216:2]) ).
cnf(l535,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1216:2),below(t1214:2)],[t1216:2]) ).
cnf(t1220,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1216:3)],[m_s3_type12_28]) ).
cnf(t1221,plain,
$false,
inference(connection,[status(thm),parent(t1220:1)],[t1220:1,t1216:3]) ).
cnf(t1222,plain,
p_15(a),
inference(extension,[status(thm),parent(t1220:2)],[m_t3_2]) ).
cnf(t1223,plain,
$false,
inference(connection,[status(thm),parent(t1222:1)],[t1222:1,t1220:2]) ).
cnf(t1224,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1220:3)],[l535:1]) ).
cnf(t1225,plain,
$false,
inference(connection,[status(thm),parent(t1224:1)],[t1224:1,t1220:3]) ).
cnf(t1226,plain,
q_11(a),
inference(lemma_extension,[status(thm),parent(t1214:3)],[l524:1]) ).
cnf(t1227,plain,
$false,
inference(connection,[status(thm),parent(t1226:1)],[t1226:1,t1214:3]) ).
cnf(t1228,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t1192:3)],[m_s3_type12_18]) ).
cnf(t1229,plain,
$false,
inference(connection,[status(thm),parent(t1228:1)],[t1228:1,t1192:3]) ).
cnf(t1230,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t1228:2)],[m_s3_type11_22]) ).
cnf(t1231,plain,
$false,
inference(connection,[status(thm),parent(t1230:1)],[t1230:1,t1228:2]) ).
cnf(t1232,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1230:2)],[m_s3_type12_26]) ).
cnf(t1233,plain,
$false,
inference(connection,[status(thm),parent(t1232:1)],[t1232:1,t1230:2]) ).
cnf(t1234,plain,
p_14(a),
inference(extension,[status(thm),parent(t1232:2)],[m_t3_1]) ).
cnf(t1235,plain,
$false,
inference(connection,[status(thm),parent(t1234:1)],[t1234:1,t1232:2]) ).
cnf(t1236,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1232:3)],[m_s3_type12_28]) ).
cnf(t1237,plain,
$false,
inference(connection,[status(thm),parent(t1236:1)],[t1236:1,t1232:3]) ).
cnf(t1238,plain,
p_15(a),
inference(extension,[status(thm),parent(t1236:2)],[m_t3_2]) ).
cnf(t1239,plain,
$false,
inference(connection,[status(thm),parent(t1238:1)],[t1238:1,t1236:2]) ).
cnf(t1240,plain,
q_14(a),
inference(extension,[status(thm),parent(t1236:3)],[m_t3_3]) ).
cnf(t1241,plain,
$false,
inference(connection,[status(thm),parent(t1240:1)],[t1240:1,t1236:3]) ).
cnf(l540,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t1230:2),below(t1228:2)],[t1230:2]) ).
cnf(t1242,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1230:3)],[m_s3_type12_24]) ).
cnf(t1243,plain,
$false,
inference(connection,[status(thm),parent(t1242:1)],[t1242:1,t1230:3]) ).
cnf(t1244,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1242:2)],[m_s3_type11_28]) ).
cnf(t1245,plain,
$false,
inference(connection,[status(thm),parent(t1244:1)],[t1244:1,t1242:2]) ).
cnf(t1246,plain,
q_15(a),
inference(extension,[status(thm),parent(t1244:2)],[m_t3_4]) ).
cnf(t1247,plain,
$false,
inference(connection,[status(thm),parent(t1246:1)],[t1246:1,t1244:2]) ).
cnf(t1248,plain,
q_14(a),
inference(extension,[status(thm),parent(t1244:3)],[m_t3_3]) ).
cnf(t1249,plain,
$false,
inference(connection,[status(thm),parent(t1248:1)],[t1248:1,t1244:3]) ).
cnf(t1250,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t1242:3)],[l540:1]) ).
cnf(t1251,plain,
$false,
inference(connection,[status(thm),parent(t1250:1)],[t1250:1,t1242:3]) ).
cnf(l539,lemma,
p_10(a),
inference(lemma,[status(cth),parent(t1228:2),below(t1192:3)],[t1228:2]) ).
cnf(t1252,plain,
( ~ p_10(a)
| ~ q_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t1228:3)],[m_s3_type12_19]) ).
cnf(t1253,plain,
$false,
inference(connection,[status(thm),parent(t1252:1)],[t1252:1,t1228:3]) ).
cnf(t1254,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1252:2)],[m_s3_type12_24]) ).
cnf(t1255,plain,
$false,
inference(connection,[status(thm),parent(t1254:1)],[t1254:1,t1252:2]) ).
cnf(t1256,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1254:2)],[m_s3_type11_28]) ).
cnf(t1257,plain,
$false,
inference(connection,[status(thm),parent(t1256:1)],[t1256:1,t1254:2]) ).
cnf(t1258,plain,
q_15(a),
inference(extension,[status(thm),parent(t1256:2)],[m_t3_4]) ).
cnf(t1259,plain,
$false,
inference(connection,[status(thm),parent(t1258:1)],[t1258:1,t1256:2]) ).
cnf(t1260,plain,
q_14(a),
inference(extension,[status(thm),parent(t1256:3)],[m_t3_3]) ).
cnf(t1261,plain,
$false,
inference(connection,[status(thm),parent(t1260:1)],[t1260:1,t1256:3]) ).
cnf(l551,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t1254:2),below(t1252:2)],[t1254:2]) ).
cnf(t1262,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1254:3)],[m_s3_type12_25]) ).
cnf(t1263,plain,
$false,
inference(connection,[status(thm),parent(t1262:1)],[t1262:1,t1254:3]) ).
cnf(t1264,plain,
q_14(a),
inference(extension,[status(thm),parent(t1262:2)],[m_t3_3]) ).
cnf(t1265,plain,
$false,
inference(connection,[status(thm),parent(t1264:1)],[t1264:1,t1262:2]) ).
cnf(t1266,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t1262:3)],[l551:1]) ).
cnf(t1267,plain,
$false,
inference(connection,[status(thm),parent(t1266:1)],[t1266:1,t1262:3]) ).
cnf(t1268,plain,
p_10(a),
inference(lemma_extension,[status(thm),parent(t1252:3)],[l539:1]) ).
cnf(t1269,plain,
$false,
inference(connection,[status(thm),parent(t1268:1)],[t1268:1,t1252:3]) ).
cnf(l415,lemma,
q_4(a),
inference(lemma,[status(cth),parent(t950:2),below(t948:2)],[t950:2]) ).
cnf(t1270,plain,
( ~ q_4(a)
| ~ p_5(a)
| q_3(a) ),
inference(extension,[status(thm),parent(t950:3)],[m_s3_type12_8]) ).
cnf(t1271,plain,
$false,
inference(connection,[status(thm),parent(t1270:1)],[t1270:1,t950:3]) ).
cnf(t1272,plain,
( ~ q_6(a)
| ~ q_7(a)
| p_5(a) ),
inference(extension,[status(thm),parent(t1270:2)],[m_s3_type11_12]) ).
cnf(t1273,plain,
$false,
inference(connection,[status(thm),parent(t1272:1)],[t1272:1,t1270:2]) ).
cnf(t1274,plain,
( ~ q_8(a)
| ~ p_9(a)
| q_7(a) ),
inference(extension,[status(thm),parent(t1272:2)],[m_s3_type12_16]) ).
cnf(t1275,plain,
$false,
inference(connection,[status(thm),parent(t1274:1)],[t1274:1,t1272:2]) ).
cnf(t1276,plain,
( ~ q_10(a)
| ~ q_11(a)
| p_9(a) ),
inference(extension,[status(thm),parent(t1274:2)],[m_s3_type11_20]) ).
cnf(t1277,plain,
$false,
inference(connection,[status(thm),parent(t1276:1)],[t1276:1,t1274:2]) ).
cnf(t1278,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1276:2)],[m_s3_type12_24]) ).
cnf(t1279,plain,
$false,
inference(connection,[status(thm),parent(t1278:1)],[t1278:1,t1276:2]) ).
cnf(t1280,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1278:2)],[m_s3_type11_28]) ).
cnf(t1281,plain,
$false,
inference(connection,[status(thm),parent(t1280:1)],[t1280:1,t1278:2]) ).
cnf(t1282,plain,
q_15(a),
inference(extension,[status(thm),parent(t1280:2)],[m_t3_4]) ).
cnf(t1283,plain,
$false,
inference(connection,[status(thm),parent(t1282:1)],[t1282:1,t1280:2]) ).
cnf(t1284,plain,
q_14(a),
inference(extension,[status(thm),parent(t1280:3)],[m_t3_3]) ).
cnf(t1285,plain,
$false,
inference(connection,[status(thm),parent(t1284:1)],[t1284:1,t1280:3]) ).
cnf(t1286,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1278:3)],[m_s3_type12_26]) ).
cnf(t1287,plain,
$false,
inference(connection,[status(thm),parent(t1286:1)],[t1286:1,t1278:3]) ).
cnf(t1288,plain,
p_14(a),
inference(extension,[status(thm),parent(t1286:2)],[m_t3_1]) ).
cnf(t1289,plain,
$false,
inference(connection,[status(thm),parent(t1288:1)],[t1288:1,t1286:2]) ).
cnf(t1290,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1286:3)],[m_s3_type12_28]) ).
cnf(t1291,plain,
$false,
inference(connection,[status(thm),parent(t1290:1)],[t1290:1,t1286:3]) ).
cnf(t1292,plain,
p_15(a),
inference(extension,[status(thm),parent(t1290:2)],[m_t3_2]) ).
cnf(t1293,plain,
$false,
inference(connection,[status(thm),parent(t1292:1)],[t1292:1,t1290:2]) ).
cnf(t1294,plain,
q_14(a),
inference(extension,[status(thm),parent(t1290:3)],[m_t3_3]) ).
cnf(t1295,plain,
$false,
inference(connection,[status(thm),parent(t1294:1)],[t1294:1,t1290:3]) ).
cnf(l560,lemma,
q_11(a),
inference(lemma,[status(cth),parent(t1276:2),below(t1274:2)],[t1276:2]) ).
cnf(t1296,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1276:3)],[m_s3_type12_22]) ).
cnf(t1297,plain,
$false,
inference(connection,[status(thm),parent(t1296:1)],[t1296:1,t1276:3]) ).
cnf(t1298,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1296:2)],[m_s3_type11_26]) ).
cnf(t1299,plain,
$false,
inference(connection,[status(thm),parent(t1298:1)],[t1298:1,t1296:2]) ).
cnf(t1300,plain,
q_14(a),
inference(extension,[status(thm),parent(t1298:2)],[m_t3_3]) ).
cnf(t1301,plain,
$false,
inference(connection,[status(thm),parent(t1300:1)],[t1300:1,t1298:2]) ).
cnf(l571,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1298:2),below(t1296:2)],[t1298:2]) ).
cnf(t1302,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1298:3)],[m_s3_type12_28]) ).
cnf(t1303,plain,
$false,
inference(connection,[status(thm),parent(t1302:1)],[t1302:1,t1298:3]) ).
cnf(t1304,plain,
p_15(a),
inference(extension,[status(thm),parent(t1302:2)],[m_t3_2]) ).
cnf(t1305,plain,
$false,
inference(connection,[status(thm),parent(t1304:1)],[t1304:1,t1302:2]) ).
cnf(t1306,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1302:3)],[l571:1]) ).
cnf(t1307,plain,
$false,
inference(connection,[status(thm),parent(t1306:1)],[t1306:1,t1302:3]) ).
cnf(t1308,plain,
q_11(a),
inference(lemma_extension,[status(thm),parent(t1296:3)],[l560:1]) ).
cnf(t1309,plain,
$false,
inference(connection,[status(thm),parent(t1308:1)],[t1308:1,t1296:3]) ).
cnf(t1310,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t1274:3)],[m_s3_type12_18]) ).
cnf(t1311,plain,
$false,
inference(connection,[status(thm),parent(t1310:1)],[t1310:1,t1274:3]) ).
cnf(t1312,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t1310:2)],[m_s3_type11_22]) ).
cnf(t1313,plain,
$false,
inference(connection,[status(thm),parent(t1312:1)],[t1312:1,t1310:2]) ).
cnf(t1314,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1312:2)],[m_s3_type12_26]) ).
cnf(t1315,plain,
$false,
inference(connection,[status(thm),parent(t1314:1)],[t1314:1,t1312:2]) ).
cnf(t1316,plain,
p_14(a),
inference(extension,[status(thm),parent(t1314:2)],[m_t3_1]) ).
cnf(t1317,plain,
$false,
inference(connection,[status(thm),parent(t1316:1)],[t1316:1,t1314:2]) ).
cnf(t1318,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1314:3)],[m_s3_type12_28]) ).
cnf(t1319,plain,
$false,
inference(connection,[status(thm),parent(t1318:1)],[t1318:1,t1314:3]) ).
cnf(t1320,plain,
p_15(a),
inference(extension,[status(thm),parent(t1318:2)],[m_t3_2]) ).
cnf(t1321,plain,
$false,
inference(connection,[status(thm),parent(t1320:1)],[t1320:1,t1318:2]) ).
cnf(t1322,plain,
q_14(a),
inference(extension,[status(thm),parent(t1318:3)],[m_t3_3]) ).
cnf(t1323,plain,
$false,
inference(connection,[status(thm),parent(t1322:1)],[t1322:1,t1318:3]) ).
cnf(l576,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t1312:2),below(t1310:2)],[t1312:2]) ).
cnf(t1324,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1312:3)],[m_s3_type12_24]) ).
cnf(t1325,plain,
$false,
inference(connection,[status(thm),parent(t1324:1)],[t1324:1,t1312:3]) ).
cnf(t1326,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1324:2)],[m_s3_type11_28]) ).
cnf(t1327,plain,
$false,
inference(connection,[status(thm),parent(t1326:1)],[t1326:1,t1324:2]) ).
cnf(t1328,plain,
q_15(a),
inference(extension,[status(thm),parent(t1326:2)],[m_t3_4]) ).
cnf(t1329,plain,
$false,
inference(connection,[status(thm),parent(t1328:1)],[t1328:1,t1326:2]) ).
cnf(t1330,plain,
q_14(a),
inference(extension,[status(thm),parent(t1326:3)],[m_t3_3]) ).
cnf(t1331,plain,
$false,
inference(connection,[status(thm),parent(t1330:1)],[t1330:1,t1326:3]) ).
cnf(t1332,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t1324:3)],[l576:1]) ).
cnf(t1333,plain,
$false,
inference(connection,[status(thm),parent(t1332:1)],[t1332:1,t1324:3]) ).
cnf(t1334,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t1310:3)],[m_s3_type12_20]) ).
cnf(t1335,plain,
$false,
inference(connection,[status(thm),parent(t1334:1)],[t1334:1,t1310:3]) ).
cnf(t1336,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t1334:2)],[m_s3_type11_24]) ).
cnf(t1337,plain,
$false,
inference(connection,[status(thm),parent(t1336:1)],[t1336:1,t1334:2]) ).
cnf(t1338,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1336:2)],[m_s3_type12_28]) ).
cnf(t1339,plain,
$false,
inference(connection,[status(thm),parent(t1338:1)],[t1338:1,t1336:2]) ).
cnf(t1340,plain,
p_15(a),
inference(extension,[status(thm),parent(t1338:2)],[m_t3_2]) ).
cnf(t1341,plain,
$false,
inference(connection,[status(thm),parent(t1340:1)],[t1340:1,t1338:2]) ).
cnf(t1342,plain,
q_14(a),
inference(extension,[status(thm),parent(t1338:3)],[m_t3_3]) ).
cnf(t1343,plain,
$false,
inference(connection,[status(thm),parent(t1342:1)],[t1342:1,t1338:3]) ).
cnf(l587,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t1336:2),below(t1334:2)],[t1336:2]) ).
cnf(t1344,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1336:3)],[m_s3_type12_26]) ).
cnf(t1345,plain,
$false,
inference(connection,[status(thm),parent(t1344:1)],[t1344:1,t1336:3]) ).
cnf(t1346,plain,
p_14(a),
inference(extension,[status(thm),parent(t1344:2)],[m_t3_1]) ).
cnf(t1347,plain,
$false,
inference(connection,[status(thm),parent(t1346:1)],[t1346:1,t1344:2]) ).
cnf(t1348,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t1344:3)],[l587:1]) ).
cnf(t1349,plain,
$false,
inference(connection,[status(thm),parent(t1348:1)],[t1348:1,t1344:3]) ).
cnf(t1350,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1334:3)],[m_s3_type12_22]) ).
cnf(t1351,plain,
$false,
inference(connection,[status(thm),parent(t1350:1)],[t1350:1,t1334:3]) ).
cnf(t1352,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1350:2)],[m_s3_type11_26]) ).
cnf(t1353,plain,
$false,
inference(connection,[status(thm),parent(t1352:1)],[t1352:1,t1350:2]) ).
cnf(t1354,plain,
q_14(a),
inference(extension,[status(thm),parent(t1352:2)],[m_t3_3]) ).
cnf(t1355,plain,
$false,
inference(connection,[status(thm),parent(t1354:1)],[t1354:1,t1352:2]) ).
cnf(l594,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1352:2),below(t1350:2)],[t1352:2]) ).
cnf(t1356,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1352:3)],[m_s3_type12_28]) ).
cnf(t1357,plain,
$false,
inference(connection,[status(thm),parent(t1356:1)],[t1356:1,t1352:3]) ).
cnf(t1358,plain,
p_15(a),
inference(extension,[status(thm),parent(t1356:2)],[m_t3_2]) ).
cnf(t1359,plain,
$false,
inference(connection,[status(thm),parent(t1358:1)],[t1358:1,t1356:2]) ).
cnf(t1360,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1356:3)],[l594:1]) ).
cnf(t1361,plain,
$false,
inference(connection,[status(thm),parent(t1360:1)],[t1360:1,t1356:3]) ).
cnf(t1362,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1350:3)],[m_s3_type12_24]) ).
cnf(t1363,plain,
$false,
inference(connection,[status(thm),parent(t1362:1)],[t1362:1,t1350:3]) ).
cnf(t1364,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1362:2)],[m_s3_type11_28]) ).
cnf(t1365,plain,
$false,
inference(connection,[status(thm),parent(t1364:1)],[t1364:1,t1362:2]) ).
cnf(t1366,plain,
q_15(a),
inference(extension,[status(thm),parent(t1364:2)],[m_t3_4]) ).
cnf(t1367,plain,
$false,
inference(connection,[status(thm),parent(t1366:1)],[t1366:1,t1364:2]) ).
cnf(t1368,plain,
q_14(a),
inference(extension,[status(thm),parent(t1364:3)],[m_t3_3]) ).
cnf(t1369,plain,
$false,
inference(connection,[status(thm),parent(t1368:1)],[t1368:1,t1364:3]) ).
cnf(l598,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t1362:2),below(t1350:3)],[t1362:2]) ).
cnf(t1370,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1362:3)],[m_s3_type12_25]) ).
cnf(t1371,plain,
$false,
inference(connection,[status(thm),parent(t1370:1)],[t1370:1,t1362:3]) ).
cnf(t1372,plain,
q_14(a),
inference(extension,[status(thm),parent(t1370:2)],[m_t3_3]) ).
cnf(t1373,plain,
$false,
inference(connection,[status(thm),parent(t1372:1)],[t1372:1,t1370:2]) ).
cnf(t1374,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t1370:3)],[l598:1]) ).
cnf(t1375,plain,
$false,
inference(connection,[status(thm),parent(t1374:1)],[t1374:1,t1370:3]) ).
cnf(l558,lemma,
q_7(a),
inference(lemma,[status(cth),parent(t1272:2),below(t1270:2)],[t1272:2]) ).
cnf(t1376,plain,
( ~ q_7(a)
| ~ p_8(a)
| q_6(a) ),
inference(extension,[status(thm),parent(t1272:3)],[m_s3_type12_14]) ).
cnf(t1377,plain,
$false,
inference(connection,[status(thm),parent(t1376:1)],[t1376:1,t1272:3]) ).
cnf(t1378,plain,
( ~ q_9(a)
| ~ q_10(a)
| p_8(a) ),
inference(extension,[status(thm),parent(t1376:2)],[m_s3_type11_18]) ).
cnf(t1379,plain,
$false,
inference(connection,[status(thm),parent(t1378:1)],[t1378:1,t1376:2]) ).
cnf(t1380,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1378:2)],[m_s3_type12_22]) ).
cnf(t1381,plain,
$false,
inference(connection,[status(thm),parent(t1380:1)],[t1380:1,t1378:2]) ).
cnf(t1382,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1380:2)],[m_s3_type11_26]) ).
cnf(t1383,plain,
$false,
inference(connection,[status(thm),parent(t1382:1)],[t1382:1,t1380:2]) ).
cnf(t1384,plain,
q_14(a),
inference(extension,[status(thm),parent(t1382:2)],[m_t3_3]) ).
cnf(t1385,plain,
$false,
inference(connection,[status(thm),parent(t1384:1)],[t1384:1,t1382:2]) ).
cnf(l607,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1382:2),below(t1380:2)],[t1382:2]) ).
cnf(t1386,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1382:3)],[m_s3_type12_28]) ).
cnf(t1387,plain,
$false,
inference(connection,[status(thm),parent(t1386:1)],[t1386:1,t1382:3]) ).
cnf(t1388,plain,
p_15(a),
inference(extension,[status(thm),parent(t1386:2)],[m_t3_2]) ).
cnf(t1389,plain,
$false,
inference(connection,[status(thm),parent(t1388:1)],[t1388:1,t1386:2]) ).
cnf(t1390,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1386:3)],[l607:1]) ).
cnf(t1391,plain,
$false,
inference(connection,[status(thm),parent(t1390:1)],[t1390:1,t1386:3]) ).
cnf(t1392,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1380:3)],[m_s3_type12_24]) ).
cnf(t1393,plain,
$false,
inference(connection,[status(thm),parent(t1392:1)],[t1392:1,t1380:3]) ).
cnf(t1394,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1392:2)],[m_s3_type11_28]) ).
cnf(t1395,plain,
$false,
inference(connection,[status(thm),parent(t1394:1)],[t1394:1,t1392:2]) ).
cnf(t1396,plain,
q_15(a),
inference(extension,[status(thm),parent(t1394:2)],[m_t3_4]) ).
cnf(t1397,plain,
$false,
inference(connection,[status(thm),parent(t1396:1)],[t1396:1,t1394:2]) ).
cnf(t1398,plain,
q_14(a),
inference(extension,[status(thm),parent(t1394:3)],[m_t3_3]) ).
cnf(t1399,plain,
$false,
inference(connection,[status(thm),parent(t1398:1)],[t1398:1,t1394:3]) ).
cnf(t1400,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1392:3)],[m_s3_type12_26]) ).
cnf(t1401,plain,
$false,
inference(connection,[status(thm),parent(t1400:1)],[t1400:1,t1392:3]) ).
cnf(t1402,plain,
p_14(a),
inference(extension,[status(thm),parent(t1400:2)],[m_t3_1]) ).
cnf(t1403,plain,
$false,
inference(connection,[status(thm),parent(t1402:1)],[t1402:1,t1400:2]) ).
cnf(t1404,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1400:3)],[m_s3_type12_28]) ).
cnf(t1405,plain,
$false,
inference(connection,[status(thm),parent(t1404:1)],[t1404:1,t1400:3]) ).
cnf(t1406,plain,
p_15(a),
inference(extension,[status(thm),parent(t1404:2)],[m_t3_2]) ).
cnf(t1407,plain,
$false,
inference(connection,[status(thm),parent(t1406:1)],[t1406:1,t1404:2]) ).
cnf(t1408,plain,
q_14(a),
inference(extension,[status(thm),parent(t1404:3)],[m_t3_3]) ).
cnf(t1409,plain,
$false,
inference(connection,[status(thm),parent(t1408:1)],[t1408:1,t1404:3]) ).
cnf(l605,lemma,
q_10(a),
inference(lemma,[status(cth),parent(t1378:2),below(t1376:2)],[t1378:2]) ).
cnf(t1410,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t1378:3)],[m_s3_type12_20]) ).
cnf(t1411,plain,
$false,
inference(connection,[status(thm),parent(t1410:1)],[t1410:1,t1378:3]) ).
cnf(t1412,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t1410:2)],[m_s3_type11_24]) ).
cnf(t1413,plain,
$false,
inference(connection,[status(thm),parent(t1412:1)],[t1412:1,t1410:2]) ).
cnf(t1414,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1412:2)],[m_s3_type12_28]) ).
cnf(t1415,plain,
$false,
inference(connection,[status(thm),parent(t1414:1)],[t1414:1,t1412:2]) ).
cnf(t1416,plain,
p_15(a),
inference(extension,[status(thm),parent(t1414:2)],[m_t3_2]) ).
cnf(t1417,plain,
$false,
inference(connection,[status(thm),parent(t1416:1)],[t1416:1,t1414:2]) ).
cnf(t1418,plain,
q_14(a),
inference(extension,[status(thm),parent(t1414:3)],[m_t3_3]) ).
cnf(t1419,plain,
$false,
inference(connection,[status(thm),parent(t1418:1)],[t1418:1,t1414:3]) ).
cnf(l621,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t1412:2),below(t1410:2)],[t1412:2]) ).
cnf(t1420,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1412:3)],[m_s3_type12_26]) ).
cnf(t1421,plain,
$false,
inference(connection,[status(thm),parent(t1420:1)],[t1420:1,t1412:3]) ).
cnf(t1422,plain,
p_14(a),
inference(extension,[status(thm),parent(t1420:2)],[m_t3_1]) ).
cnf(t1423,plain,
$false,
inference(connection,[status(thm),parent(t1422:1)],[t1422:1,t1420:2]) ).
cnf(t1424,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t1420:3)],[l621:1]) ).
cnf(t1425,plain,
$false,
inference(connection,[status(thm),parent(t1424:1)],[t1424:1,t1420:3]) ).
cnf(t1426,plain,
q_10(a),
inference(lemma_extension,[status(thm),parent(t1410:3)],[l605:1]) ).
cnf(t1427,plain,
$false,
inference(connection,[status(thm),parent(t1426:1)],[t1426:1,t1410:3]) ).
cnf(t1428,plain,
q_7(a),
inference(lemma_extension,[status(thm),parent(t1376:3)],[l558:1]) ).
cnf(t1429,plain,
$false,
inference(connection,[status(thm),parent(t1428:1)],[t1428:1,t1376:3]) ).
cnf(t1430,plain,
q_4(a),
inference(lemma_extension,[status(thm),parent(t1270:3)],[l415:1]) ).
cnf(t1431,plain,
$false,
inference(connection,[status(thm),parent(t1430:1)],[t1430:1,t1270:3]) ).
cnf(t1432,plain,
( ~ q_2(a)
| ~ p_3(a)
| q_1(a) ),
inference(extension,[status(thm),parent(t948:3)],[m_s3_type12_4]) ).
cnf(t1433,plain,
$false,
inference(connection,[status(thm),parent(t1432:1)],[t1432:1,t948:3]) ).
cnf(t1434,plain,
( ~ q_4(a)
| ~ q_5(a)
| p_3(a) ),
inference(extension,[status(thm),parent(t1432:2)],[m_s3_type11_8]) ).
cnf(t1435,plain,
$false,
inference(connection,[status(thm),parent(t1434:1)],[t1434:1,t1432:2]) ).
cnf(t1436,plain,
( ~ q_6(a)
| ~ p_7(a)
| q_5(a) ),
inference(extension,[status(thm),parent(t1434:2)],[m_s3_type12_12]) ).
cnf(t1437,plain,
$false,
inference(connection,[status(thm),parent(t1436:1)],[t1436:1,t1434:2]) ).
cnf(t1438,plain,
( ~ q_8(a)
| ~ q_9(a)
| p_7(a) ),
inference(extension,[status(thm),parent(t1436:2)],[m_s3_type11_16]) ).
cnf(t1439,plain,
$false,
inference(connection,[status(thm),parent(t1438:1)],[t1438:1,t1436:2]) ).
cnf(t1440,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t1438:2)],[m_s3_type12_20]) ).
cnf(t1441,plain,
$false,
inference(connection,[status(thm),parent(t1440:1)],[t1440:1,t1438:2]) ).
cnf(t1442,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t1440:2)],[m_s3_type11_24]) ).
cnf(t1443,plain,
$false,
inference(connection,[status(thm),parent(t1442:1)],[t1442:1,t1440:2]) ).
cnf(t1444,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1442:2)],[m_s3_type12_28]) ).
cnf(t1445,plain,
$false,
inference(connection,[status(thm),parent(t1444:1)],[t1444:1,t1442:2]) ).
cnf(t1446,plain,
p_15(a),
inference(extension,[status(thm),parent(t1444:2)],[m_t3_2]) ).
cnf(t1447,plain,
$false,
inference(connection,[status(thm),parent(t1446:1)],[t1446:1,t1444:2]) ).
cnf(t1448,plain,
q_14(a),
inference(extension,[status(thm),parent(t1444:3)],[m_t3_3]) ).
cnf(t1449,plain,
$false,
inference(connection,[status(thm),parent(t1448:1)],[t1448:1,t1444:3]) ).
cnf(l632,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t1442:2),below(t1440:2)],[t1442:2]) ).
cnf(t1450,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1442:3)],[m_s3_type12_26]) ).
cnf(t1451,plain,
$false,
inference(connection,[status(thm),parent(t1450:1)],[t1450:1,t1442:3]) ).
cnf(t1452,plain,
p_14(a),
inference(extension,[status(thm),parent(t1450:2)],[m_t3_1]) ).
cnf(t1453,plain,
$false,
inference(connection,[status(thm),parent(t1452:1)],[t1452:1,t1450:2]) ).
cnf(t1454,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t1450:3)],[l632:1]) ).
cnf(t1455,plain,
$false,
inference(connection,[status(thm),parent(t1454:1)],[t1454:1,t1450:3]) ).
cnf(t1456,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1440:3)],[m_s3_type12_22]) ).
cnf(t1457,plain,
$false,
inference(connection,[status(thm),parent(t1456:1)],[t1456:1,t1440:3]) ).
cnf(t1458,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1456:2)],[m_s3_type11_26]) ).
cnf(t1459,plain,
$false,
inference(connection,[status(thm),parent(t1458:1)],[t1458:1,t1456:2]) ).
cnf(t1460,plain,
q_14(a),
inference(extension,[status(thm),parent(t1458:2)],[m_t3_3]) ).
cnf(t1461,plain,
$false,
inference(connection,[status(thm),parent(t1460:1)],[t1460:1,t1458:2]) ).
cnf(l639,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1458:2),below(t1456:2)],[t1458:2]) ).
cnf(t1462,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1458:3)],[m_s3_type12_28]) ).
cnf(t1463,plain,
$false,
inference(connection,[status(thm),parent(t1462:1)],[t1462:1,t1458:3]) ).
cnf(t1464,plain,
p_15(a),
inference(extension,[status(thm),parent(t1462:2)],[m_t3_2]) ).
cnf(t1465,plain,
$false,
inference(connection,[status(thm),parent(t1464:1)],[t1464:1,t1462:2]) ).
cnf(t1466,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1462:3)],[l639:1]) ).
cnf(t1467,plain,
$false,
inference(connection,[status(thm),parent(t1466:1)],[t1466:1,t1462:3]) ).
cnf(t1468,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1456:3)],[m_s3_type12_24]) ).
cnf(t1469,plain,
$false,
inference(connection,[status(thm),parent(t1468:1)],[t1468:1,t1456:3]) ).
cnf(t1470,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1468:2)],[m_s3_type11_28]) ).
cnf(t1471,plain,
$false,
inference(connection,[status(thm),parent(t1470:1)],[t1470:1,t1468:2]) ).
cnf(t1472,plain,
q_15(a),
inference(extension,[status(thm),parent(t1470:2)],[m_t3_4]) ).
cnf(t1473,plain,
$false,
inference(connection,[status(thm),parent(t1472:1)],[t1472:1,t1470:2]) ).
cnf(t1474,plain,
q_14(a),
inference(extension,[status(thm),parent(t1470:3)],[m_t3_3]) ).
cnf(t1475,plain,
$false,
inference(connection,[status(thm),parent(t1474:1)],[t1474:1,t1470:3]) ).
cnf(t1476,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1468:3)],[m_s3_type12_26]) ).
cnf(t1477,plain,
$false,
inference(connection,[status(thm),parent(t1476:1)],[t1476:1,t1468:3]) ).
cnf(t1478,plain,
p_14(a),
inference(extension,[status(thm),parent(t1476:2)],[m_t3_1]) ).
cnf(t1479,plain,
$false,
inference(connection,[status(thm),parent(t1478:1)],[t1478:1,t1476:2]) ).
cnf(t1480,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1476:3)],[m_s3_type12_28]) ).
cnf(t1481,plain,
$false,
inference(connection,[status(thm),parent(t1480:1)],[t1480:1,t1476:3]) ).
cnf(t1482,plain,
p_15(a),
inference(extension,[status(thm),parent(t1480:2)],[m_t3_2]) ).
cnf(t1483,plain,
$false,
inference(connection,[status(thm),parent(t1482:1)],[t1482:1,t1480:2]) ).
cnf(t1484,plain,
q_14(a),
inference(extension,[status(thm),parent(t1480:3)],[m_t3_3]) ).
cnf(t1485,plain,
$false,
inference(connection,[status(thm),parent(t1484:1)],[t1484:1,t1480:3]) ).
cnf(l630,lemma,
q_9(a),
inference(lemma,[status(cth),parent(t1438:2),below(t1436:2)],[t1438:2]) ).
cnf(t1486,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t1438:3)],[m_s3_type12_18]) ).
cnf(t1487,plain,
$false,
inference(connection,[status(thm),parent(t1486:1)],[t1486:1,t1438:3]) ).
cnf(t1488,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t1486:2)],[m_s3_type11_22]) ).
cnf(t1489,plain,
$false,
inference(connection,[status(thm),parent(t1488:1)],[t1488:1,t1486:2]) ).
cnf(t1490,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1488:2)],[m_s3_type12_26]) ).
cnf(t1491,plain,
$false,
inference(connection,[status(thm),parent(t1490:1)],[t1490:1,t1488:2]) ).
cnf(t1492,plain,
p_14(a),
inference(extension,[status(thm),parent(t1490:2)],[m_t3_1]) ).
cnf(t1493,plain,
$false,
inference(connection,[status(thm),parent(t1492:1)],[t1492:1,t1490:2]) ).
cnf(t1494,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1490:3)],[m_s3_type12_28]) ).
cnf(t1495,plain,
$false,
inference(connection,[status(thm),parent(t1494:1)],[t1494:1,t1490:3]) ).
cnf(t1496,plain,
p_15(a),
inference(extension,[status(thm),parent(t1494:2)],[m_t3_2]) ).
cnf(t1497,plain,
$false,
inference(connection,[status(thm),parent(t1496:1)],[t1496:1,t1494:2]) ).
cnf(t1498,plain,
q_14(a),
inference(extension,[status(thm),parent(t1494:3)],[m_t3_3]) ).
cnf(t1499,plain,
$false,
inference(connection,[status(thm),parent(t1498:1)],[t1498:1,t1494:3]) ).
cnf(l653,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t1488:2),below(t1486:2)],[t1488:2]) ).
cnf(t1500,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1488:3)],[m_s3_type12_24]) ).
cnf(t1501,plain,
$false,
inference(connection,[status(thm),parent(t1500:1)],[t1500:1,t1488:3]) ).
cnf(t1502,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1500:2)],[m_s3_type11_28]) ).
cnf(t1503,plain,
$false,
inference(connection,[status(thm),parent(t1502:1)],[t1502:1,t1500:2]) ).
cnf(t1504,plain,
q_15(a),
inference(extension,[status(thm),parent(t1502:2)],[m_t3_4]) ).
cnf(t1505,plain,
$false,
inference(connection,[status(thm),parent(t1504:1)],[t1504:1,t1502:2]) ).
cnf(t1506,plain,
q_14(a),
inference(extension,[status(thm),parent(t1502:3)],[m_t3_3]) ).
cnf(t1507,plain,
$false,
inference(connection,[status(thm),parent(t1506:1)],[t1506:1,t1502:3]) ).
cnf(t1508,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t1500:3)],[l653:1]) ).
cnf(t1509,plain,
$false,
inference(connection,[status(thm),parent(t1508:1)],[t1508:1,t1500:3]) ).
cnf(t1510,plain,
q_9(a),
inference(lemma_extension,[status(thm),parent(t1486:3)],[l630:1]) ).
cnf(t1511,plain,
$false,
inference(connection,[status(thm),parent(t1510:1)],[t1510:1,t1486:3]) ).
cnf(t1512,plain,
( ~ q_7(a)
| ~ p_8(a)
| q_6(a) ),
inference(extension,[status(thm),parent(t1436:3)],[m_s3_type12_14]) ).
cnf(t1513,plain,
$false,
inference(connection,[status(thm),parent(t1512:1)],[t1512:1,t1436:3]) ).
cnf(t1514,plain,
( ~ q_9(a)
| ~ q_10(a)
| p_8(a) ),
inference(extension,[status(thm),parent(t1512:2)],[m_s3_type11_18]) ).
cnf(t1515,plain,
$false,
inference(connection,[status(thm),parent(t1514:1)],[t1514:1,t1512:2]) ).
cnf(t1516,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1514:2)],[m_s3_type12_22]) ).
cnf(t1517,plain,
$false,
inference(connection,[status(thm),parent(t1516:1)],[t1516:1,t1514:2]) ).
cnf(t1518,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1516:2)],[m_s3_type11_26]) ).
cnf(t1519,plain,
$false,
inference(connection,[status(thm),parent(t1518:1)],[t1518:1,t1516:2]) ).
cnf(t1520,plain,
q_14(a),
inference(extension,[status(thm),parent(t1518:2)],[m_t3_3]) ).
cnf(t1521,plain,
$false,
inference(connection,[status(thm),parent(t1520:1)],[t1520:1,t1518:2]) ).
cnf(l666,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1518:2),below(t1516:2)],[t1518:2]) ).
cnf(t1522,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1518:3)],[m_s3_type12_28]) ).
cnf(t1523,plain,
$false,
inference(connection,[status(thm),parent(t1522:1)],[t1522:1,t1518:3]) ).
cnf(t1524,plain,
p_15(a),
inference(extension,[status(thm),parent(t1522:2)],[m_t3_2]) ).
cnf(t1525,plain,
$false,
inference(connection,[status(thm),parent(t1524:1)],[t1524:1,t1522:2]) ).
cnf(t1526,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1522:3)],[l666:1]) ).
cnf(t1527,plain,
$false,
inference(connection,[status(thm),parent(t1526:1)],[t1526:1,t1522:3]) ).
cnf(t1528,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1516:3)],[m_s3_type12_24]) ).
cnf(t1529,plain,
$false,
inference(connection,[status(thm),parent(t1528:1)],[t1528:1,t1516:3]) ).
cnf(t1530,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1528:2)],[m_s3_type11_28]) ).
cnf(t1531,plain,
$false,
inference(connection,[status(thm),parent(t1530:1)],[t1530:1,t1528:2]) ).
cnf(t1532,plain,
q_15(a),
inference(extension,[status(thm),parent(t1530:2)],[m_t3_4]) ).
cnf(t1533,plain,
$false,
inference(connection,[status(thm),parent(t1532:1)],[t1532:1,t1530:2]) ).
cnf(t1534,plain,
q_14(a),
inference(extension,[status(thm),parent(t1530:3)],[m_t3_3]) ).
cnf(t1535,plain,
$false,
inference(connection,[status(thm),parent(t1534:1)],[t1534:1,t1530:3]) ).
cnf(t1536,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1528:3)],[m_s3_type12_26]) ).
cnf(t1537,plain,
$false,
inference(connection,[status(thm),parent(t1536:1)],[t1536:1,t1528:3]) ).
cnf(t1538,plain,
p_14(a),
inference(extension,[status(thm),parent(t1536:2)],[m_t3_1]) ).
cnf(t1539,plain,
$false,
inference(connection,[status(thm),parent(t1538:1)],[t1538:1,t1536:2]) ).
cnf(t1540,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1536:3)],[m_s3_type12_28]) ).
cnf(t1541,plain,
$false,
inference(connection,[status(thm),parent(t1540:1)],[t1540:1,t1536:3]) ).
cnf(t1542,plain,
p_15(a),
inference(extension,[status(thm),parent(t1540:2)],[m_t3_2]) ).
cnf(t1543,plain,
$false,
inference(connection,[status(thm),parent(t1542:1)],[t1542:1,t1540:2]) ).
cnf(t1544,plain,
q_14(a),
inference(extension,[status(thm),parent(t1540:3)],[m_t3_3]) ).
cnf(t1545,plain,
$false,
inference(connection,[status(thm),parent(t1544:1)],[t1544:1,t1540:3]) ).
cnf(l664,lemma,
q_10(a),
inference(lemma,[status(cth),parent(t1514:2),below(t1512:2)],[t1514:2]) ).
cnf(t1546,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t1514:3)],[m_s3_type12_20]) ).
cnf(t1547,plain,
$false,
inference(connection,[status(thm),parent(t1546:1)],[t1546:1,t1514:3]) ).
cnf(t1548,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t1546:2)],[m_s3_type11_24]) ).
cnf(t1549,plain,
$false,
inference(connection,[status(thm),parent(t1548:1)],[t1548:1,t1546:2]) ).
cnf(t1550,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1548:2)],[m_s3_type12_28]) ).
cnf(t1551,plain,
$false,
inference(connection,[status(thm),parent(t1550:1)],[t1550:1,t1548:2]) ).
cnf(t1552,plain,
p_15(a),
inference(extension,[status(thm),parent(t1550:2)],[m_t3_2]) ).
cnf(t1553,plain,
$false,
inference(connection,[status(thm),parent(t1552:1)],[t1552:1,t1550:2]) ).
cnf(t1554,plain,
q_14(a),
inference(extension,[status(thm),parent(t1550:3)],[m_t3_3]) ).
cnf(t1555,plain,
$false,
inference(connection,[status(thm),parent(t1554:1)],[t1554:1,t1550:3]) ).
cnf(l680,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t1548:2),below(t1546:2)],[t1548:2]) ).
cnf(t1556,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1548:3)],[m_s3_type12_26]) ).
cnf(t1557,plain,
$false,
inference(connection,[status(thm),parent(t1556:1)],[t1556:1,t1548:3]) ).
cnf(t1558,plain,
p_14(a),
inference(extension,[status(thm),parent(t1556:2)],[m_t3_1]) ).
cnf(t1559,plain,
$false,
inference(connection,[status(thm),parent(t1558:1)],[t1558:1,t1556:2]) ).
cnf(t1560,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t1556:3)],[l680:1]) ).
cnf(t1561,plain,
$false,
inference(connection,[status(thm),parent(t1560:1)],[t1560:1,t1556:3]) ).
cnf(t1562,plain,
q_10(a),
inference(lemma_extension,[status(thm),parent(t1546:3)],[l664:1]) ).
cnf(t1563,plain,
$false,
inference(connection,[status(thm),parent(t1562:1)],[t1562:1,t1546:3]) ).
cnf(t1564,plain,
( ~ q_8(a)
| ~ p_9(a)
| q_7(a) ),
inference(extension,[status(thm),parent(t1512:3)],[m_s3_type12_16]) ).
cnf(t1565,plain,
$false,
inference(connection,[status(thm),parent(t1564:1)],[t1564:1,t1512:3]) ).
cnf(t1566,plain,
( ~ q_10(a)
| ~ q_11(a)
| p_9(a) ),
inference(extension,[status(thm),parent(t1564:2)],[m_s3_type11_20]) ).
cnf(t1567,plain,
$false,
inference(connection,[status(thm),parent(t1566:1)],[t1566:1,t1564:2]) ).
cnf(t1568,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1566:2)],[m_s3_type12_24]) ).
cnf(t1569,plain,
$false,
inference(connection,[status(thm),parent(t1568:1)],[t1568:1,t1566:2]) ).
cnf(t1570,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1568:2)],[m_s3_type11_28]) ).
cnf(t1571,plain,
$false,
inference(connection,[status(thm),parent(t1570:1)],[t1570:1,t1568:2]) ).
cnf(t1572,plain,
q_15(a),
inference(extension,[status(thm),parent(t1570:2)],[m_t3_4]) ).
cnf(t1573,plain,
$false,
inference(connection,[status(thm),parent(t1572:1)],[t1572:1,t1570:2]) ).
cnf(t1574,plain,
q_14(a),
inference(extension,[status(thm),parent(t1570:3)],[m_t3_3]) ).
cnf(t1575,plain,
$false,
inference(connection,[status(thm),parent(t1574:1)],[t1574:1,t1570:3]) ).
cnf(t1576,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1568:3)],[m_s3_type12_26]) ).
cnf(t1577,plain,
$false,
inference(connection,[status(thm),parent(t1576:1)],[t1576:1,t1568:3]) ).
cnf(t1578,plain,
p_14(a),
inference(extension,[status(thm),parent(t1576:2)],[m_t3_1]) ).
cnf(t1579,plain,
$false,
inference(connection,[status(thm),parent(t1578:1)],[t1578:1,t1576:2]) ).
cnf(t1580,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1576:3)],[m_s3_type12_28]) ).
cnf(t1581,plain,
$false,
inference(connection,[status(thm),parent(t1580:1)],[t1580:1,t1576:3]) ).
cnf(t1582,plain,
p_15(a),
inference(extension,[status(thm),parent(t1580:2)],[m_t3_2]) ).
cnf(t1583,plain,
$false,
inference(connection,[status(thm),parent(t1582:1)],[t1582:1,t1580:2]) ).
cnf(t1584,plain,
q_14(a),
inference(extension,[status(thm),parent(t1580:3)],[m_t3_3]) ).
cnf(t1585,plain,
$false,
inference(connection,[status(thm),parent(t1584:1)],[t1584:1,t1580:3]) ).
cnf(l687,lemma,
q_11(a),
inference(lemma,[status(cth),parent(t1566:2),below(t1564:2)],[t1566:2]) ).
cnf(t1586,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1566:3)],[m_s3_type12_22]) ).
cnf(t1587,plain,
$false,
inference(connection,[status(thm),parent(t1586:1)],[t1586:1,t1566:3]) ).
cnf(t1588,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1586:2)],[m_s3_type11_26]) ).
cnf(t1589,plain,
$false,
inference(connection,[status(thm),parent(t1588:1)],[t1588:1,t1586:2]) ).
cnf(t1590,plain,
q_14(a),
inference(extension,[status(thm),parent(t1588:2)],[m_t3_3]) ).
cnf(t1591,plain,
$false,
inference(connection,[status(thm),parent(t1590:1)],[t1590:1,t1588:2]) ).
cnf(l698,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1588:2),below(t1586:2)],[t1588:2]) ).
cnf(t1592,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1588:3)],[m_s3_type12_28]) ).
cnf(t1593,plain,
$false,
inference(connection,[status(thm),parent(t1592:1)],[t1592:1,t1588:3]) ).
cnf(t1594,plain,
p_15(a),
inference(extension,[status(thm),parent(t1592:2)],[m_t3_2]) ).
cnf(t1595,plain,
$false,
inference(connection,[status(thm),parent(t1594:1)],[t1594:1,t1592:2]) ).
cnf(t1596,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1592:3)],[l698:1]) ).
cnf(t1597,plain,
$false,
inference(connection,[status(thm),parent(t1596:1)],[t1596:1,t1592:3]) ).
cnf(t1598,plain,
q_11(a),
inference(lemma_extension,[status(thm),parent(t1586:3)],[l687:1]) ).
cnf(t1599,plain,
$false,
inference(connection,[status(thm),parent(t1598:1)],[t1598:1,t1586:3]) ).
cnf(t1600,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t1564:3)],[m_s3_type12_18]) ).
cnf(t1601,plain,
$false,
inference(connection,[status(thm),parent(t1600:1)],[t1600:1,t1564:3]) ).
cnf(t1602,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t1600:2)],[m_s3_type11_22]) ).
cnf(t1603,plain,
$false,
inference(connection,[status(thm),parent(t1602:1)],[t1602:1,t1600:2]) ).
cnf(t1604,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1602:2)],[m_s3_type12_26]) ).
cnf(t1605,plain,
$false,
inference(connection,[status(thm),parent(t1604:1)],[t1604:1,t1602:2]) ).
cnf(t1606,plain,
p_14(a),
inference(extension,[status(thm),parent(t1604:2)],[m_t3_1]) ).
cnf(t1607,plain,
$false,
inference(connection,[status(thm),parent(t1606:1)],[t1606:1,t1604:2]) ).
cnf(t1608,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1604:3)],[m_s3_type12_28]) ).
cnf(t1609,plain,
$false,
inference(connection,[status(thm),parent(t1608:1)],[t1608:1,t1604:3]) ).
cnf(t1610,plain,
p_15(a),
inference(extension,[status(thm),parent(t1608:2)],[m_t3_2]) ).
cnf(t1611,plain,
$false,
inference(connection,[status(thm),parent(t1610:1)],[t1610:1,t1608:2]) ).
cnf(t1612,plain,
q_14(a),
inference(extension,[status(thm),parent(t1608:3)],[m_t3_3]) ).
cnf(t1613,plain,
$false,
inference(connection,[status(thm),parent(t1612:1)],[t1612:1,t1608:3]) ).
cnf(l703,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t1602:2),below(t1600:2)],[t1602:2]) ).
cnf(t1614,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1602:3)],[m_s3_type12_24]) ).
cnf(t1615,plain,
$false,
inference(connection,[status(thm),parent(t1614:1)],[t1614:1,t1602:3]) ).
cnf(t1616,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1614:2)],[m_s3_type11_28]) ).
cnf(t1617,plain,
$false,
inference(connection,[status(thm),parent(t1616:1)],[t1616:1,t1614:2]) ).
cnf(t1618,plain,
q_15(a),
inference(extension,[status(thm),parent(t1616:2)],[m_t3_4]) ).
cnf(t1619,plain,
$false,
inference(connection,[status(thm),parent(t1618:1)],[t1618:1,t1616:2]) ).
cnf(t1620,plain,
q_14(a),
inference(extension,[status(thm),parent(t1616:3)],[m_t3_3]) ).
cnf(t1621,plain,
$false,
inference(connection,[status(thm),parent(t1620:1)],[t1620:1,t1616:3]) ).
cnf(t1622,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t1614:3)],[l703:1]) ).
cnf(t1623,plain,
$false,
inference(connection,[status(thm),parent(t1622:1)],[t1622:1,t1614:3]) ).
cnf(l702,lemma,
p_10(a),
inference(lemma,[status(cth),parent(t1600:2),below(t1564:3)],[t1600:2]) ).
cnf(t1624,plain,
( ~ p_10(a)
| ~ q_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t1600:3)],[m_s3_type12_19]) ).
cnf(t1625,plain,
$false,
inference(connection,[status(thm),parent(t1624:1)],[t1624:1,t1600:3]) ).
cnf(t1626,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1624:2)],[m_s3_type12_24]) ).
cnf(t1627,plain,
$false,
inference(connection,[status(thm),parent(t1626:1)],[t1626:1,t1624:2]) ).
cnf(t1628,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1626:2)],[m_s3_type11_28]) ).
cnf(t1629,plain,
$false,
inference(connection,[status(thm),parent(t1628:1)],[t1628:1,t1626:2]) ).
cnf(t1630,plain,
q_15(a),
inference(extension,[status(thm),parent(t1628:2)],[m_t3_4]) ).
cnf(t1631,plain,
$false,
inference(connection,[status(thm),parent(t1630:1)],[t1630:1,t1628:2]) ).
cnf(t1632,plain,
q_14(a),
inference(extension,[status(thm),parent(t1628:3)],[m_t3_3]) ).
cnf(t1633,plain,
$false,
inference(connection,[status(thm),parent(t1632:1)],[t1632:1,t1628:3]) ).
cnf(l714,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t1626:2),below(t1624:2)],[t1626:2]) ).
cnf(t1634,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1626:3)],[m_s3_type12_25]) ).
cnf(t1635,plain,
$false,
inference(connection,[status(thm),parent(t1634:1)],[t1634:1,t1626:3]) ).
cnf(t1636,plain,
q_14(a),
inference(extension,[status(thm),parent(t1634:2)],[m_t3_3]) ).
cnf(t1637,plain,
$false,
inference(connection,[status(thm),parent(t1636:1)],[t1636:1,t1634:2]) ).
cnf(t1638,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t1634:3)],[l714:1]) ).
cnf(t1639,plain,
$false,
inference(connection,[status(thm),parent(t1638:1)],[t1638:1,t1634:3]) ).
cnf(t1640,plain,
p_10(a),
inference(lemma_extension,[status(thm),parent(t1624:3)],[l702:1]) ).
cnf(t1641,plain,
$false,
inference(connection,[status(thm),parent(t1640:1)],[t1640:1,t1624:3]) ).
cnf(l628,lemma,
q_5(a),
inference(lemma,[status(cth),parent(t1434:2),below(t1432:2)],[t1434:2]) ).
cnf(t1642,plain,
( ~ q_5(a)
| ~ p_6(a)
| q_4(a) ),
inference(extension,[status(thm),parent(t1434:3)],[m_s3_type12_10]) ).
cnf(t1643,plain,
$false,
inference(connection,[status(thm),parent(t1642:1)],[t1642:1,t1434:3]) ).
cnf(t1644,plain,
( ~ q_7(a)
| ~ q_8(a)
| p_6(a) ),
inference(extension,[status(thm),parent(t1642:2)],[m_s3_type11_14]) ).
cnf(t1645,plain,
$false,
inference(connection,[status(thm),parent(t1644:1)],[t1644:1,t1642:2]) ).
cnf(t1646,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t1644:2)],[m_s3_type12_18]) ).
cnf(t1647,plain,
$false,
inference(connection,[status(thm),parent(t1646:1)],[t1646:1,t1644:2]) ).
cnf(t1648,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t1646:2)],[m_s3_type11_22]) ).
cnf(t1649,plain,
$false,
inference(connection,[status(thm),parent(t1648:1)],[t1648:1,t1646:2]) ).
cnf(t1650,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1648:2)],[m_s3_type12_26]) ).
cnf(t1651,plain,
$false,
inference(connection,[status(thm),parent(t1650:1)],[t1650:1,t1648:2]) ).
cnf(t1652,plain,
p_14(a),
inference(extension,[status(thm),parent(t1650:2)],[m_t3_1]) ).
cnf(t1653,plain,
$false,
inference(connection,[status(thm),parent(t1652:1)],[t1652:1,t1650:2]) ).
cnf(t1654,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1650:3)],[m_s3_type12_28]) ).
cnf(t1655,plain,
$false,
inference(connection,[status(thm),parent(t1654:1)],[t1654:1,t1650:3]) ).
cnf(t1656,plain,
p_15(a),
inference(extension,[status(thm),parent(t1654:2)],[m_t3_2]) ).
cnf(t1657,plain,
$false,
inference(connection,[status(thm),parent(t1656:1)],[t1656:1,t1654:2]) ).
cnf(t1658,plain,
q_14(a),
inference(extension,[status(thm),parent(t1654:3)],[m_t3_3]) ).
cnf(t1659,plain,
$false,
inference(connection,[status(thm),parent(t1658:1)],[t1658:1,t1654:3]) ).
cnf(l723,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t1648:2),below(t1646:2)],[t1648:2]) ).
cnf(t1660,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1648:3)],[m_s3_type12_24]) ).
cnf(t1661,plain,
$false,
inference(connection,[status(thm),parent(t1660:1)],[t1660:1,t1648:3]) ).
cnf(t1662,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1660:2)],[m_s3_type11_28]) ).
cnf(t1663,plain,
$false,
inference(connection,[status(thm),parent(t1662:1)],[t1662:1,t1660:2]) ).
cnf(t1664,plain,
q_15(a),
inference(extension,[status(thm),parent(t1662:2)],[m_t3_4]) ).
cnf(t1665,plain,
$false,
inference(connection,[status(thm),parent(t1664:1)],[t1664:1,t1662:2]) ).
cnf(t1666,plain,
q_14(a),
inference(extension,[status(thm),parent(t1662:3)],[m_t3_3]) ).
cnf(t1667,plain,
$false,
inference(connection,[status(thm),parent(t1666:1)],[t1666:1,t1662:3]) ).
cnf(t1668,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t1660:3)],[l723:1]) ).
cnf(t1669,plain,
$false,
inference(connection,[status(thm),parent(t1668:1)],[t1668:1,t1660:3]) ).
cnf(t1670,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t1646:3)],[m_s3_type12_20]) ).
cnf(t1671,plain,
$false,
inference(connection,[status(thm),parent(t1670:1)],[t1670:1,t1646:3]) ).
cnf(t1672,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t1670:2)],[m_s3_type11_24]) ).
cnf(t1673,plain,
$false,
inference(connection,[status(thm),parent(t1672:1)],[t1672:1,t1670:2]) ).
cnf(t1674,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1672:2)],[m_s3_type12_28]) ).
cnf(t1675,plain,
$false,
inference(connection,[status(thm),parent(t1674:1)],[t1674:1,t1672:2]) ).
cnf(t1676,plain,
p_15(a),
inference(extension,[status(thm),parent(t1674:2)],[m_t3_2]) ).
cnf(t1677,plain,
$false,
inference(connection,[status(thm),parent(t1676:1)],[t1676:1,t1674:2]) ).
cnf(t1678,plain,
q_14(a),
inference(extension,[status(thm),parent(t1674:3)],[m_t3_3]) ).
cnf(t1679,plain,
$false,
inference(connection,[status(thm),parent(t1678:1)],[t1678:1,t1674:3]) ).
cnf(l734,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t1672:2),below(t1670:2)],[t1672:2]) ).
cnf(t1680,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1672:3)],[m_s3_type12_26]) ).
cnf(t1681,plain,
$false,
inference(connection,[status(thm),parent(t1680:1)],[t1680:1,t1672:3]) ).
cnf(t1682,plain,
p_14(a),
inference(extension,[status(thm),parent(t1680:2)],[m_t3_1]) ).
cnf(t1683,plain,
$false,
inference(connection,[status(thm),parent(t1682:1)],[t1682:1,t1680:2]) ).
cnf(t1684,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t1680:3)],[l734:1]) ).
cnf(t1685,plain,
$false,
inference(connection,[status(thm),parent(t1684:1)],[t1684:1,t1680:3]) ).
cnf(t1686,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1670:3)],[m_s3_type12_22]) ).
cnf(t1687,plain,
$false,
inference(connection,[status(thm),parent(t1686:1)],[t1686:1,t1670:3]) ).
cnf(t1688,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1686:2)],[m_s3_type11_26]) ).
cnf(t1689,plain,
$false,
inference(connection,[status(thm),parent(t1688:1)],[t1688:1,t1686:2]) ).
cnf(t1690,plain,
q_14(a),
inference(extension,[status(thm),parent(t1688:2)],[m_t3_3]) ).
cnf(t1691,plain,
$false,
inference(connection,[status(thm),parent(t1690:1)],[t1690:1,t1688:2]) ).
cnf(l741,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1688:2),below(t1686:2)],[t1688:2]) ).
cnf(t1692,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1688:3)],[m_s3_type12_28]) ).
cnf(t1693,plain,
$false,
inference(connection,[status(thm),parent(t1692:1)],[t1692:1,t1688:3]) ).
cnf(t1694,plain,
p_15(a),
inference(extension,[status(thm),parent(t1692:2)],[m_t3_2]) ).
cnf(t1695,plain,
$false,
inference(connection,[status(thm),parent(t1694:1)],[t1694:1,t1692:2]) ).
cnf(t1696,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1692:3)],[l741:1]) ).
cnf(t1697,plain,
$false,
inference(connection,[status(thm),parent(t1696:1)],[t1696:1,t1692:3]) ).
cnf(t1698,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1686:3)],[m_s3_type12_24]) ).
cnf(t1699,plain,
$false,
inference(connection,[status(thm),parent(t1698:1)],[t1698:1,t1686:3]) ).
cnf(t1700,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1698:2)],[m_s3_type11_28]) ).
cnf(t1701,plain,
$false,
inference(connection,[status(thm),parent(t1700:1)],[t1700:1,t1698:2]) ).
cnf(t1702,plain,
q_15(a),
inference(extension,[status(thm),parent(t1700:2)],[m_t3_4]) ).
cnf(t1703,plain,
$false,
inference(connection,[status(thm),parent(t1702:1)],[t1702:1,t1700:2]) ).
cnf(t1704,plain,
q_14(a),
inference(extension,[status(thm),parent(t1700:3)],[m_t3_3]) ).
cnf(t1705,plain,
$false,
inference(connection,[status(thm),parent(t1704:1)],[t1704:1,t1700:3]) ).
cnf(l745,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t1698:2),below(t1686:3)],[t1698:2]) ).
cnf(t1706,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1698:3)],[m_s3_type12_25]) ).
cnf(t1707,plain,
$false,
inference(connection,[status(thm),parent(t1706:1)],[t1706:1,t1698:3]) ).
cnf(t1708,plain,
q_14(a),
inference(extension,[status(thm),parent(t1706:2)],[m_t3_3]) ).
cnf(t1709,plain,
$false,
inference(connection,[status(thm),parent(t1708:1)],[t1708:1,t1706:2]) ).
cnf(t1710,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t1706:3)],[l745:1]) ).
cnf(t1711,plain,
$false,
inference(connection,[status(thm),parent(t1710:1)],[t1710:1,t1706:3]) ).
cnf(l721,lemma,
q_8(a),
inference(lemma,[status(cth),parent(t1644:2),below(t1642:2)],[t1644:2]) ).
cnf(t1712,plain,
( ~ q_8(a)
| ~ p_9(a)
| q_7(a) ),
inference(extension,[status(thm),parent(t1644:3)],[m_s3_type12_16]) ).
cnf(t1713,plain,
$false,
inference(connection,[status(thm),parent(t1712:1)],[t1712:1,t1644:3]) ).
cnf(t1714,plain,
( ~ q_10(a)
| ~ q_11(a)
| p_9(a) ),
inference(extension,[status(thm),parent(t1712:2)],[m_s3_type11_20]) ).
cnf(t1715,plain,
$false,
inference(connection,[status(thm),parent(t1714:1)],[t1714:1,t1712:2]) ).
cnf(t1716,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1714:2)],[m_s3_type12_24]) ).
cnf(t1717,plain,
$false,
inference(connection,[status(thm),parent(t1716:1)],[t1716:1,t1714:2]) ).
cnf(t1718,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1716:2)],[m_s3_type11_28]) ).
cnf(t1719,plain,
$false,
inference(connection,[status(thm),parent(t1718:1)],[t1718:1,t1716:2]) ).
cnf(t1720,plain,
q_15(a),
inference(extension,[status(thm),parent(t1718:2)],[m_t3_4]) ).
cnf(t1721,plain,
$false,
inference(connection,[status(thm),parent(t1720:1)],[t1720:1,t1718:2]) ).
cnf(t1722,plain,
q_14(a),
inference(extension,[status(thm),parent(t1718:3)],[m_t3_3]) ).
cnf(t1723,plain,
$false,
inference(connection,[status(thm),parent(t1722:1)],[t1722:1,t1718:3]) ).
cnf(t1724,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1716:3)],[m_s3_type12_26]) ).
cnf(t1725,plain,
$false,
inference(connection,[status(thm),parent(t1724:1)],[t1724:1,t1716:3]) ).
cnf(t1726,plain,
p_14(a),
inference(extension,[status(thm),parent(t1724:2)],[m_t3_1]) ).
cnf(t1727,plain,
$false,
inference(connection,[status(thm),parent(t1726:1)],[t1726:1,t1724:2]) ).
cnf(t1728,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1724:3)],[m_s3_type12_28]) ).
cnf(t1729,plain,
$false,
inference(connection,[status(thm),parent(t1728:1)],[t1728:1,t1724:3]) ).
cnf(t1730,plain,
p_15(a),
inference(extension,[status(thm),parent(t1728:2)],[m_t3_2]) ).
cnf(t1731,plain,
$false,
inference(connection,[status(thm),parent(t1730:1)],[t1730:1,t1728:2]) ).
cnf(t1732,plain,
q_14(a),
inference(extension,[status(thm),parent(t1728:3)],[m_t3_3]) ).
cnf(t1733,plain,
$false,
inference(connection,[status(thm),parent(t1732:1)],[t1732:1,t1728:3]) ).
cnf(l752,lemma,
q_11(a),
inference(lemma,[status(cth),parent(t1714:2),below(t1712:2)],[t1714:2]) ).
cnf(t1734,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1714:3)],[m_s3_type12_22]) ).
cnf(t1735,plain,
$false,
inference(connection,[status(thm),parent(t1734:1)],[t1734:1,t1714:3]) ).
cnf(t1736,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1734:2)],[m_s3_type11_26]) ).
cnf(t1737,plain,
$false,
inference(connection,[status(thm),parent(t1736:1)],[t1736:1,t1734:2]) ).
cnf(t1738,plain,
q_14(a),
inference(extension,[status(thm),parent(t1736:2)],[m_t3_3]) ).
cnf(t1739,plain,
$false,
inference(connection,[status(thm),parent(t1738:1)],[t1738:1,t1736:2]) ).
cnf(l763,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1736:2),below(t1734:2)],[t1736:2]) ).
cnf(t1740,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1736:3)],[m_s3_type12_28]) ).
cnf(t1741,plain,
$false,
inference(connection,[status(thm),parent(t1740:1)],[t1740:1,t1736:3]) ).
cnf(t1742,plain,
p_15(a),
inference(extension,[status(thm),parent(t1740:2)],[m_t3_2]) ).
cnf(t1743,plain,
$false,
inference(connection,[status(thm),parent(t1742:1)],[t1742:1,t1740:2]) ).
cnf(t1744,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1740:3)],[l763:1]) ).
cnf(t1745,plain,
$false,
inference(connection,[status(thm),parent(t1744:1)],[t1744:1,t1740:3]) ).
cnf(t1746,plain,
q_11(a),
inference(lemma_extension,[status(thm),parent(t1734:3)],[l752:1]) ).
cnf(t1747,plain,
$false,
inference(connection,[status(thm),parent(t1746:1)],[t1746:1,t1734:3]) ).
cnf(t1748,plain,
q_8(a),
inference(lemma_extension,[status(thm),parent(t1712:3)],[l721:1]) ).
cnf(t1749,plain,
$false,
inference(connection,[status(thm),parent(t1748:1)],[t1748:1,t1712:3]) ).
cnf(t1750,plain,
q_5(a),
inference(lemma_extension,[status(thm),parent(t1642:3)],[l628:1]) ).
cnf(t1751,plain,
$false,
inference(connection,[status(thm),parent(t1750:1)],[t1750:1,t1642:3]) ).
cnf(t1752,plain,
( ~ q_3(a)
| ~ p_4(a)
| q_2(a) ),
inference(extension,[status(thm),parent(t1432:3)],[m_s3_type12_6]) ).
cnf(t1753,plain,
$false,
inference(connection,[status(thm),parent(t1752:1)],[t1752:1,t1432:3]) ).
cnf(t1754,plain,
( ~ q_5(a)
| ~ q_6(a)
| p_4(a) ),
inference(extension,[status(thm),parent(t1752:2)],[m_s3_type11_10]) ).
cnf(t1755,plain,
$false,
inference(connection,[status(thm),parent(t1754:1)],[t1754:1,t1752:2]) ).
cnf(t1756,plain,
( ~ q_7(a)
| ~ p_8(a)
| q_6(a) ),
inference(extension,[status(thm),parent(t1754:2)],[m_s3_type12_14]) ).
cnf(t1757,plain,
$false,
inference(connection,[status(thm),parent(t1756:1)],[t1756:1,t1754:2]) ).
cnf(t1758,plain,
( ~ q_9(a)
| ~ q_10(a)
| p_8(a) ),
inference(extension,[status(thm),parent(t1756:2)],[m_s3_type11_18]) ).
cnf(t1759,plain,
$false,
inference(connection,[status(thm),parent(t1758:1)],[t1758:1,t1756:2]) ).
cnf(t1760,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1758:2)],[m_s3_type12_22]) ).
cnf(t1761,plain,
$false,
inference(connection,[status(thm),parent(t1760:1)],[t1760:1,t1758:2]) ).
cnf(t1762,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1760:2)],[m_s3_type11_26]) ).
cnf(t1763,plain,
$false,
inference(connection,[status(thm),parent(t1762:1)],[t1762:1,t1760:2]) ).
cnf(t1764,plain,
q_14(a),
inference(extension,[status(thm),parent(t1762:2)],[m_t3_3]) ).
cnf(t1765,plain,
$false,
inference(connection,[status(thm),parent(t1764:1)],[t1764:1,t1762:2]) ).
cnf(l772,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1762:2),below(t1760:2)],[t1762:2]) ).
cnf(t1766,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1762:3)],[m_s3_type12_28]) ).
cnf(t1767,plain,
$false,
inference(connection,[status(thm),parent(t1766:1)],[t1766:1,t1762:3]) ).
cnf(t1768,plain,
p_15(a),
inference(extension,[status(thm),parent(t1766:2)],[m_t3_2]) ).
cnf(t1769,plain,
$false,
inference(connection,[status(thm),parent(t1768:1)],[t1768:1,t1766:2]) ).
cnf(t1770,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1766:3)],[l772:1]) ).
cnf(t1771,plain,
$false,
inference(connection,[status(thm),parent(t1770:1)],[t1770:1,t1766:3]) ).
cnf(t1772,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1760:3)],[m_s3_type12_24]) ).
cnf(t1773,plain,
$false,
inference(connection,[status(thm),parent(t1772:1)],[t1772:1,t1760:3]) ).
cnf(t1774,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1772:2)],[m_s3_type11_28]) ).
cnf(t1775,plain,
$false,
inference(connection,[status(thm),parent(t1774:1)],[t1774:1,t1772:2]) ).
cnf(t1776,plain,
q_15(a),
inference(extension,[status(thm),parent(t1774:2)],[m_t3_4]) ).
cnf(t1777,plain,
$false,
inference(connection,[status(thm),parent(t1776:1)],[t1776:1,t1774:2]) ).
cnf(t1778,plain,
q_14(a),
inference(extension,[status(thm),parent(t1774:3)],[m_t3_3]) ).
cnf(t1779,plain,
$false,
inference(connection,[status(thm),parent(t1778:1)],[t1778:1,t1774:3]) ).
cnf(t1780,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1772:3)],[m_s3_type12_26]) ).
cnf(t1781,plain,
$false,
inference(connection,[status(thm),parent(t1780:1)],[t1780:1,t1772:3]) ).
cnf(t1782,plain,
p_14(a),
inference(extension,[status(thm),parent(t1780:2)],[m_t3_1]) ).
cnf(t1783,plain,
$false,
inference(connection,[status(thm),parent(t1782:1)],[t1782:1,t1780:2]) ).
cnf(t1784,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1780:3)],[m_s3_type12_28]) ).
cnf(t1785,plain,
$false,
inference(connection,[status(thm),parent(t1784:1)],[t1784:1,t1780:3]) ).
cnf(t1786,plain,
p_15(a),
inference(extension,[status(thm),parent(t1784:2)],[m_t3_2]) ).
cnf(t1787,plain,
$false,
inference(connection,[status(thm),parent(t1786:1)],[t1786:1,t1784:2]) ).
cnf(t1788,plain,
q_14(a),
inference(extension,[status(thm),parent(t1784:3)],[m_t3_3]) ).
cnf(t1789,plain,
$false,
inference(connection,[status(thm),parent(t1788:1)],[t1788:1,t1784:3]) ).
cnf(l770,lemma,
q_10(a),
inference(lemma,[status(cth),parent(t1758:2),below(t1756:2)],[t1758:2]) ).
cnf(t1790,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t1758:3)],[m_s3_type12_20]) ).
cnf(t1791,plain,
$false,
inference(connection,[status(thm),parent(t1790:1)],[t1790:1,t1758:3]) ).
cnf(t1792,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t1790:2)],[m_s3_type11_24]) ).
cnf(t1793,plain,
$false,
inference(connection,[status(thm),parent(t1792:1)],[t1792:1,t1790:2]) ).
cnf(t1794,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1792:2)],[m_s3_type12_28]) ).
cnf(t1795,plain,
$false,
inference(connection,[status(thm),parent(t1794:1)],[t1794:1,t1792:2]) ).
cnf(t1796,plain,
p_15(a),
inference(extension,[status(thm),parent(t1794:2)],[m_t3_2]) ).
cnf(t1797,plain,
$false,
inference(connection,[status(thm),parent(t1796:1)],[t1796:1,t1794:2]) ).
cnf(t1798,plain,
q_14(a),
inference(extension,[status(thm),parent(t1794:3)],[m_t3_3]) ).
cnf(t1799,plain,
$false,
inference(connection,[status(thm),parent(t1798:1)],[t1798:1,t1794:3]) ).
cnf(l786,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t1792:2),below(t1790:2)],[t1792:2]) ).
cnf(t1800,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1792:3)],[m_s3_type12_26]) ).
cnf(t1801,plain,
$false,
inference(connection,[status(thm),parent(t1800:1)],[t1800:1,t1792:3]) ).
cnf(t1802,plain,
p_14(a),
inference(extension,[status(thm),parent(t1800:2)],[m_t3_1]) ).
cnf(t1803,plain,
$false,
inference(connection,[status(thm),parent(t1802:1)],[t1802:1,t1800:2]) ).
cnf(t1804,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t1800:3)],[l786:1]) ).
cnf(t1805,plain,
$false,
inference(connection,[status(thm),parent(t1804:1)],[t1804:1,t1800:3]) ).
cnf(t1806,plain,
q_10(a),
inference(lemma_extension,[status(thm),parent(t1790:3)],[l770:1]) ).
cnf(t1807,plain,
$false,
inference(connection,[status(thm),parent(t1806:1)],[t1806:1,t1790:3]) ).
cnf(t1808,plain,
( ~ q_8(a)
| ~ p_9(a)
| q_7(a) ),
inference(extension,[status(thm),parent(t1756:3)],[m_s3_type12_16]) ).
cnf(t1809,plain,
$false,
inference(connection,[status(thm),parent(t1808:1)],[t1808:1,t1756:3]) ).
cnf(t1810,plain,
( ~ q_10(a)
| ~ q_11(a)
| p_9(a) ),
inference(extension,[status(thm),parent(t1808:2)],[m_s3_type11_20]) ).
cnf(t1811,plain,
$false,
inference(connection,[status(thm),parent(t1810:1)],[t1810:1,t1808:2]) ).
cnf(t1812,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1810:2)],[m_s3_type12_24]) ).
cnf(t1813,plain,
$false,
inference(connection,[status(thm),parent(t1812:1)],[t1812:1,t1810:2]) ).
cnf(t1814,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1812:2)],[m_s3_type11_28]) ).
cnf(t1815,plain,
$false,
inference(connection,[status(thm),parent(t1814:1)],[t1814:1,t1812:2]) ).
cnf(t1816,plain,
q_15(a),
inference(extension,[status(thm),parent(t1814:2)],[m_t3_4]) ).
cnf(t1817,plain,
$false,
inference(connection,[status(thm),parent(t1816:1)],[t1816:1,t1814:2]) ).
cnf(t1818,plain,
q_14(a),
inference(extension,[status(thm),parent(t1814:3)],[m_t3_3]) ).
cnf(t1819,plain,
$false,
inference(connection,[status(thm),parent(t1818:1)],[t1818:1,t1814:3]) ).
cnf(t1820,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1812:3)],[m_s3_type12_26]) ).
cnf(t1821,plain,
$false,
inference(connection,[status(thm),parent(t1820:1)],[t1820:1,t1812:3]) ).
cnf(t1822,plain,
p_14(a),
inference(extension,[status(thm),parent(t1820:2)],[m_t3_1]) ).
cnf(t1823,plain,
$false,
inference(connection,[status(thm),parent(t1822:1)],[t1822:1,t1820:2]) ).
cnf(t1824,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1820:3)],[m_s3_type12_28]) ).
cnf(t1825,plain,
$false,
inference(connection,[status(thm),parent(t1824:1)],[t1824:1,t1820:3]) ).
cnf(t1826,plain,
p_15(a),
inference(extension,[status(thm),parent(t1824:2)],[m_t3_2]) ).
cnf(t1827,plain,
$false,
inference(connection,[status(thm),parent(t1826:1)],[t1826:1,t1824:2]) ).
cnf(t1828,plain,
q_14(a),
inference(extension,[status(thm),parent(t1824:3)],[m_t3_3]) ).
cnf(t1829,plain,
$false,
inference(connection,[status(thm),parent(t1828:1)],[t1828:1,t1824:3]) ).
cnf(l793,lemma,
q_11(a),
inference(lemma,[status(cth),parent(t1810:2),below(t1808:2)],[t1810:2]) ).
cnf(t1830,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1810:3)],[m_s3_type12_22]) ).
cnf(t1831,plain,
$false,
inference(connection,[status(thm),parent(t1830:1)],[t1830:1,t1810:3]) ).
cnf(t1832,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1830:2)],[m_s3_type11_26]) ).
cnf(t1833,plain,
$false,
inference(connection,[status(thm),parent(t1832:1)],[t1832:1,t1830:2]) ).
cnf(t1834,plain,
q_14(a),
inference(extension,[status(thm),parent(t1832:2)],[m_t3_3]) ).
cnf(t1835,plain,
$false,
inference(connection,[status(thm),parent(t1834:1)],[t1834:1,t1832:2]) ).
cnf(l804,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1832:2),below(t1830:2)],[t1832:2]) ).
cnf(t1836,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1832:3)],[m_s3_type12_28]) ).
cnf(t1837,plain,
$false,
inference(connection,[status(thm),parent(t1836:1)],[t1836:1,t1832:3]) ).
cnf(t1838,plain,
p_15(a),
inference(extension,[status(thm),parent(t1836:2)],[m_t3_2]) ).
cnf(t1839,plain,
$false,
inference(connection,[status(thm),parent(t1838:1)],[t1838:1,t1836:2]) ).
cnf(t1840,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1836:3)],[l804:1]) ).
cnf(t1841,plain,
$false,
inference(connection,[status(thm),parent(t1840:1)],[t1840:1,t1836:3]) ).
cnf(t1842,plain,
q_11(a),
inference(lemma_extension,[status(thm),parent(t1830:3)],[l793:1]) ).
cnf(t1843,plain,
$false,
inference(connection,[status(thm),parent(t1842:1)],[t1842:1,t1830:3]) ).
cnf(t1844,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t1808:3)],[m_s3_type12_18]) ).
cnf(t1845,plain,
$false,
inference(connection,[status(thm),parent(t1844:1)],[t1844:1,t1808:3]) ).
cnf(t1846,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t1844:2)],[m_s3_type11_22]) ).
cnf(t1847,plain,
$false,
inference(connection,[status(thm),parent(t1846:1)],[t1846:1,t1844:2]) ).
cnf(t1848,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1846:2)],[m_s3_type12_26]) ).
cnf(t1849,plain,
$false,
inference(connection,[status(thm),parent(t1848:1)],[t1848:1,t1846:2]) ).
cnf(t1850,plain,
p_14(a),
inference(extension,[status(thm),parent(t1848:2)],[m_t3_1]) ).
cnf(t1851,plain,
$false,
inference(connection,[status(thm),parent(t1850:1)],[t1850:1,t1848:2]) ).
cnf(t1852,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1848:3)],[m_s3_type12_28]) ).
cnf(t1853,plain,
$false,
inference(connection,[status(thm),parent(t1852:1)],[t1852:1,t1848:3]) ).
cnf(t1854,plain,
p_15(a),
inference(extension,[status(thm),parent(t1852:2)],[m_t3_2]) ).
cnf(t1855,plain,
$false,
inference(connection,[status(thm),parent(t1854:1)],[t1854:1,t1852:2]) ).
cnf(t1856,plain,
q_14(a),
inference(extension,[status(thm),parent(t1852:3)],[m_t3_3]) ).
cnf(t1857,plain,
$false,
inference(connection,[status(thm),parent(t1856:1)],[t1856:1,t1852:3]) ).
cnf(l809,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t1846:2),below(t1844:2)],[t1846:2]) ).
cnf(t1858,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1846:3)],[m_s3_type12_24]) ).
cnf(t1859,plain,
$false,
inference(connection,[status(thm),parent(t1858:1)],[t1858:1,t1846:3]) ).
cnf(t1860,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1858:2)],[m_s3_type11_28]) ).
cnf(t1861,plain,
$false,
inference(connection,[status(thm),parent(t1860:1)],[t1860:1,t1858:2]) ).
cnf(t1862,plain,
q_15(a),
inference(extension,[status(thm),parent(t1860:2)],[m_t3_4]) ).
cnf(t1863,plain,
$false,
inference(connection,[status(thm),parent(t1862:1)],[t1862:1,t1860:2]) ).
cnf(t1864,plain,
q_14(a),
inference(extension,[status(thm),parent(t1860:3)],[m_t3_3]) ).
cnf(t1865,plain,
$false,
inference(connection,[status(thm),parent(t1864:1)],[t1864:1,t1860:3]) ).
cnf(t1866,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t1858:3)],[l809:1]) ).
cnf(t1867,plain,
$false,
inference(connection,[status(thm),parent(t1866:1)],[t1866:1,t1858:3]) ).
cnf(l808,lemma,
p_10(a),
inference(lemma,[status(cth),parent(t1844:2),below(t1808:3)],[t1844:2]) ).
cnf(t1868,plain,
( ~ p_10(a)
| ~ q_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t1844:3)],[m_s3_type12_19]) ).
cnf(t1869,plain,
$false,
inference(connection,[status(thm),parent(t1868:1)],[t1868:1,t1844:3]) ).
cnf(t1870,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1868:2)],[m_s3_type12_24]) ).
cnf(t1871,plain,
$false,
inference(connection,[status(thm),parent(t1870:1)],[t1870:1,t1868:2]) ).
cnf(t1872,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1870:2)],[m_s3_type11_28]) ).
cnf(t1873,plain,
$false,
inference(connection,[status(thm),parent(t1872:1)],[t1872:1,t1870:2]) ).
cnf(t1874,plain,
q_15(a),
inference(extension,[status(thm),parent(t1872:2)],[m_t3_4]) ).
cnf(t1875,plain,
$false,
inference(connection,[status(thm),parent(t1874:1)],[t1874:1,t1872:2]) ).
cnf(t1876,plain,
q_14(a),
inference(extension,[status(thm),parent(t1872:3)],[m_t3_3]) ).
cnf(t1877,plain,
$false,
inference(connection,[status(thm),parent(t1876:1)],[t1876:1,t1872:3]) ).
cnf(l820,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t1870:2),below(t1868:2)],[t1870:2]) ).
cnf(t1878,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1870:3)],[m_s3_type12_25]) ).
cnf(t1879,plain,
$false,
inference(connection,[status(thm),parent(t1878:1)],[t1878:1,t1870:3]) ).
cnf(t1880,plain,
q_14(a),
inference(extension,[status(thm),parent(t1878:2)],[m_t3_3]) ).
cnf(t1881,plain,
$false,
inference(connection,[status(thm),parent(t1880:1)],[t1880:1,t1878:2]) ).
cnf(t1882,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t1878:3)],[l820:1]) ).
cnf(t1883,plain,
$false,
inference(connection,[status(thm),parent(t1882:1)],[t1882:1,t1878:3]) ).
cnf(t1884,plain,
p_10(a),
inference(lemma_extension,[status(thm),parent(t1868:3)],[l808:1]) ).
cnf(t1885,plain,
$false,
inference(connection,[status(thm),parent(t1884:1)],[t1884:1,t1868:3]) ).
cnf(l768,lemma,
q_6(a),
inference(lemma,[status(cth),parent(t1754:2),below(t1752:2)],[t1754:2]) ).
cnf(t1886,plain,
( ~ q_6(a)
| ~ p_7(a)
| q_5(a) ),
inference(extension,[status(thm),parent(t1754:3)],[m_s3_type12_12]) ).
cnf(t1887,plain,
$false,
inference(connection,[status(thm),parent(t1886:1)],[t1886:1,t1754:3]) ).
cnf(t1888,plain,
( ~ q_8(a)
| ~ q_9(a)
| p_7(a) ),
inference(extension,[status(thm),parent(t1886:2)],[m_s3_type11_16]) ).
cnf(t1889,plain,
$false,
inference(connection,[status(thm),parent(t1888:1)],[t1888:1,t1886:2]) ).
cnf(t1890,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t1888:2)],[m_s3_type12_20]) ).
cnf(t1891,plain,
$false,
inference(connection,[status(thm),parent(t1890:1)],[t1890:1,t1888:2]) ).
cnf(t1892,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t1890:2)],[m_s3_type11_24]) ).
cnf(t1893,plain,
$false,
inference(connection,[status(thm),parent(t1892:1)],[t1892:1,t1890:2]) ).
cnf(t1894,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1892:2)],[m_s3_type12_28]) ).
cnf(t1895,plain,
$false,
inference(connection,[status(thm),parent(t1894:1)],[t1894:1,t1892:2]) ).
cnf(t1896,plain,
p_15(a),
inference(extension,[status(thm),parent(t1894:2)],[m_t3_2]) ).
cnf(t1897,plain,
$false,
inference(connection,[status(thm),parent(t1896:1)],[t1896:1,t1894:2]) ).
cnf(t1898,plain,
q_14(a),
inference(extension,[status(thm),parent(t1894:3)],[m_t3_3]) ).
cnf(t1899,plain,
$false,
inference(connection,[status(thm),parent(t1898:1)],[t1898:1,t1894:3]) ).
cnf(l829,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t1892:2),below(t1890:2)],[t1892:2]) ).
cnf(t1900,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1892:3)],[m_s3_type12_26]) ).
cnf(t1901,plain,
$false,
inference(connection,[status(thm),parent(t1900:1)],[t1900:1,t1892:3]) ).
cnf(t1902,plain,
p_14(a),
inference(extension,[status(thm),parent(t1900:2)],[m_t3_1]) ).
cnf(t1903,plain,
$false,
inference(connection,[status(thm),parent(t1902:1)],[t1902:1,t1900:2]) ).
cnf(t1904,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t1900:3)],[l829:1]) ).
cnf(t1905,plain,
$false,
inference(connection,[status(thm),parent(t1904:1)],[t1904:1,t1900:3]) ).
cnf(t1906,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1890:3)],[m_s3_type12_22]) ).
cnf(t1907,plain,
$false,
inference(connection,[status(thm),parent(t1906:1)],[t1906:1,t1890:3]) ).
cnf(t1908,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1906:2)],[m_s3_type11_26]) ).
cnf(t1909,plain,
$false,
inference(connection,[status(thm),parent(t1908:1)],[t1908:1,t1906:2]) ).
cnf(t1910,plain,
q_14(a),
inference(extension,[status(thm),parent(t1908:2)],[m_t3_3]) ).
cnf(t1911,plain,
$false,
inference(connection,[status(thm),parent(t1910:1)],[t1910:1,t1908:2]) ).
cnf(l836,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1908:2),below(t1906:2)],[t1908:2]) ).
cnf(t1912,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1908:3)],[m_s3_type12_28]) ).
cnf(t1913,plain,
$false,
inference(connection,[status(thm),parent(t1912:1)],[t1912:1,t1908:3]) ).
cnf(t1914,plain,
p_15(a),
inference(extension,[status(thm),parent(t1912:2)],[m_t3_2]) ).
cnf(t1915,plain,
$false,
inference(connection,[status(thm),parent(t1914:1)],[t1914:1,t1912:2]) ).
cnf(t1916,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1912:3)],[l836:1]) ).
cnf(t1917,plain,
$false,
inference(connection,[status(thm),parent(t1916:1)],[t1916:1,t1912:3]) ).
cnf(t1918,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1906:3)],[m_s3_type12_24]) ).
cnf(t1919,plain,
$false,
inference(connection,[status(thm),parent(t1918:1)],[t1918:1,t1906:3]) ).
cnf(t1920,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1918:2)],[m_s3_type11_28]) ).
cnf(t1921,plain,
$false,
inference(connection,[status(thm),parent(t1920:1)],[t1920:1,t1918:2]) ).
cnf(t1922,plain,
q_15(a),
inference(extension,[status(thm),parent(t1920:2)],[m_t3_4]) ).
cnf(t1923,plain,
$false,
inference(connection,[status(thm),parent(t1922:1)],[t1922:1,t1920:2]) ).
cnf(t1924,plain,
q_14(a),
inference(extension,[status(thm),parent(t1920:3)],[m_t3_3]) ).
cnf(t1925,plain,
$false,
inference(connection,[status(thm),parent(t1924:1)],[t1924:1,t1920:3]) ).
cnf(l840,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t1918:2),below(t1906:3)],[t1918:2]) ).
cnf(t1926,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1918:3)],[m_s3_type12_25]) ).
cnf(t1927,plain,
$false,
inference(connection,[status(thm),parent(t1926:1)],[t1926:1,t1918:3]) ).
cnf(t1928,plain,
q_14(a),
inference(extension,[status(thm),parent(t1926:2)],[m_t3_3]) ).
cnf(t1929,plain,
$false,
inference(connection,[status(thm),parent(t1928:1)],[t1928:1,t1926:2]) ).
cnf(t1930,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t1926:3)],[l840:1]) ).
cnf(t1931,plain,
$false,
inference(connection,[status(thm),parent(t1930:1)],[t1930:1,t1926:3]) ).
cnf(l827,lemma,
q_9(a),
inference(lemma,[status(cth),parent(t1888:2),below(t1886:2)],[t1888:2]) ).
cnf(t1932,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t1888:3)],[m_s3_type12_18]) ).
cnf(t1933,plain,
$false,
inference(connection,[status(thm),parent(t1932:1)],[t1932:1,t1888:3]) ).
cnf(t1934,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t1932:2)],[m_s3_type11_22]) ).
cnf(t1935,plain,
$false,
inference(connection,[status(thm),parent(t1934:1)],[t1934:1,t1932:2]) ).
cnf(t1936,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1934:2)],[m_s3_type12_26]) ).
cnf(t1937,plain,
$false,
inference(connection,[status(thm),parent(t1936:1)],[t1936:1,t1934:2]) ).
cnf(t1938,plain,
p_14(a),
inference(extension,[status(thm),parent(t1936:2)],[m_t3_1]) ).
cnf(t1939,plain,
$false,
inference(connection,[status(thm),parent(t1938:1)],[t1938:1,t1936:2]) ).
cnf(t1940,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1936:3)],[m_s3_type12_28]) ).
cnf(t1941,plain,
$false,
inference(connection,[status(thm),parent(t1940:1)],[t1940:1,t1936:3]) ).
cnf(t1942,plain,
p_15(a),
inference(extension,[status(thm),parent(t1940:2)],[m_t3_2]) ).
cnf(t1943,plain,
$false,
inference(connection,[status(thm),parent(t1942:1)],[t1942:1,t1940:2]) ).
cnf(t1944,plain,
q_14(a),
inference(extension,[status(thm),parent(t1940:3)],[m_t3_3]) ).
cnf(t1945,plain,
$false,
inference(connection,[status(thm),parent(t1944:1)],[t1944:1,t1940:3]) ).
cnf(l847,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t1934:2),below(t1932:2)],[t1934:2]) ).
cnf(t1946,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1934:3)],[m_s3_type12_24]) ).
cnf(t1947,plain,
$false,
inference(connection,[status(thm),parent(t1946:1)],[t1946:1,t1934:3]) ).
cnf(t1948,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1946:2)],[m_s3_type11_28]) ).
cnf(t1949,plain,
$false,
inference(connection,[status(thm),parent(t1948:1)],[t1948:1,t1946:2]) ).
cnf(t1950,plain,
q_15(a),
inference(extension,[status(thm),parent(t1948:2)],[m_t3_4]) ).
cnf(t1951,plain,
$false,
inference(connection,[status(thm),parent(t1950:1)],[t1950:1,t1948:2]) ).
cnf(t1952,plain,
q_14(a),
inference(extension,[status(thm),parent(t1948:3)],[m_t3_3]) ).
cnf(t1953,plain,
$false,
inference(connection,[status(thm),parent(t1952:1)],[t1952:1,t1948:3]) ).
cnf(t1954,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t1946:3)],[l847:1]) ).
cnf(t1955,plain,
$false,
inference(connection,[status(thm),parent(t1954:1)],[t1954:1,t1946:3]) ).
cnf(t1956,plain,
q_9(a),
inference(lemma_extension,[status(thm),parent(t1932:3)],[l827:1]) ).
cnf(t1957,plain,
$false,
inference(connection,[status(thm),parent(t1956:1)],[t1956:1,t1932:3]) ).
cnf(t1958,plain,
q_6(a),
inference(lemma_extension,[status(thm),parent(t1886:3)],[l768:1]) ).
cnf(t1959,plain,
$false,
inference(connection,[status(thm),parent(t1958:1)],[t1958:1,t1886:3]) ).
cnf(l767,lemma,
p_4(a),
inference(lemma,[status(cth),parent(t1752:2),below(t1432:3)],[t1752:2]) ).
cnf(t1960,plain,
( ~ p_4(a)
| ~ q_5(a)
| q_3(a) ),
inference(extension,[status(thm),parent(t1752:3)],[m_s3_type12_7]) ).
cnf(t1961,plain,
$false,
inference(connection,[status(thm),parent(t1960:1)],[t1960:1,t1752:3]) ).
cnf(t1962,plain,
( ~ q_6(a)
| ~ p_7(a)
| q_5(a) ),
inference(extension,[status(thm),parent(t1960:2)],[m_s3_type12_12]) ).
cnf(t1963,plain,
$false,
inference(connection,[status(thm),parent(t1962:1)],[t1962:1,t1960:2]) ).
cnf(t1964,plain,
( ~ q_8(a)
| ~ q_9(a)
| p_7(a) ),
inference(extension,[status(thm),parent(t1962:2)],[m_s3_type11_16]) ).
cnf(t1965,plain,
$false,
inference(connection,[status(thm),parent(t1964:1)],[t1964:1,t1962:2]) ).
cnf(t1966,plain,
( ~ q_10(a)
| ~ p_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t1964:2)],[m_s3_type12_20]) ).
cnf(t1967,plain,
$false,
inference(connection,[status(thm),parent(t1966:1)],[t1966:1,t1964:2]) ).
cnf(t1968,plain,
( ~ q_12(a)
| ~ q_13(a)
| p_11(a) ),
inference(extension,[status(thm),parent(t1966:2)],[m_s3_type11_24]) ).
cnf(t1969,plain,
$false,
inference(connection,[status(thm),parent(t1968:1)],[t1968:1,t1966:2]) ).
cnf(t1970,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1968:2)],[m_s3_type12_28]) ).
cnf(t1971,plain,
$false,
inference(connection,[status(thm),parent(t1970:1)],[t1970:1,t1968:2]) ).
cnf(t1972,plain,
p_15(a),
inference(extension,[status(thm),parent(t1970:2)],[m_t3_2]) ).
cnf(t1973,plain,
$false,
inference(connection,[status(thm),parent(t1972:1)],[t1972:1,t1970:2]) ).
cnf(t1974,plain,
q_14(a),
inference(extension,[status(thm),parent(t1970:3)],[m_t3_3]) ).
cnf(t1975,plain,
$false,
inference(connection,[status(thm),parent(t1974:1)],[t1974:1,t1970:3]) ).
cnf(l861,lemma,
q_13(a),
inference(lemma,[status(cth),parent(t1968:2),below(t1966:2)],[t1968:2]) ).
cnf(t1976,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1968:3)],[m_s3_type12_26]) ).
cnf(t1977,plain,
$false,
inference(connection,[status(thm),parent(t1976:1)],[t1976:1,t1968:3]) ).
cnf(t1978,plain,
p_14(a),
inference(extension,[status(thm),parent(t1976:2)],[m_t3_1]) ).
cnf(t1979,plain,
$false,
inference(connection,[status(thm),parent(t1978:1)],[t1978:1,t1976:2]) ).
cnf(t1980,plain,
q_13(a),
inference(lemma_extension,[status(thm),parent(t1976:3)],[l861:1]) ).
cnf(t1981,plain,
$false,
inference(connection,[status(thm),parent(t1980:1)],[t1980:1,t1976:3]) ).
cnf(t1982,plain,
( ~ q_11(a)
| ~ p_12(a)
| q_10(a) ),
inference(extension,[status(thm),parent(t1966:3)],[m_s3_type12_22]) ).
cnf(t1983,plain,
$false,
inference(connection,[status(thm),parent(t1982:1)],[t1982:1,t1966:3]) ).
cnf(t1984,plain,
( ~ q_13(a)
| ~ q_14(a)
| p_12(a) ),
inference(extension,[status(thm),parent(t1982:2)],[m_s3_type11_26]) ).
cnf(t1985,plain,
$false,
inference(connection,[status(thm),parent(t1984:1)],[t1984:1,t1982:2]) ).
cnf(t1986,plain,
q_14(a),
inference(extension,[status(thm),parent(t1984:2)],[m_t3_3]) ).
cnf(t1987,plain,
$false,
inference(connection,[status(thm),parent(t1986:1)],[t1986:1,t1984:2]) ).
cnf(l868,lemma,
q_14(a),
inference(lemma,[status(cth),parent(t1984:2),below(t1982:2)],[t1984:2]) ).
cnf(t1988,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t1984:3)],[m_s3_type12_28]) ).
cnf(t1989,plain,
$false,
inference(connection,[status(thm),parent(t1988:1)],[t1988:1,t1984:3]) ).
cnf(t1990,plain,
p_15(a),
inference(extension,[status(thm),parent(t1988:2)],[m_t3_2]) ).
cnf(t1991,plain,
$false,
inference(connection,[status(thm),parent(t1990:1)],[t1990:1,t1988:2]) ).
cnf(t1992,plain,
q_14(a),
inference(lemma_extension,[status(thm),parent(t1988:3)],[l868:1]) ).
cnf(t1993,plain,
$false,
inference(connection,[status(thm),parent(t1992:1)],[t1992:1,t1988:3]) ).
cnf(t1994,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t1982:3)],[m_s3_type12_24]) ).
cnf(t1995,plain,
$false,
inference(connection,[status(thm),parent(t1994:1)],[t1994:1,t1982:3]) ).
cnf(t1996,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t1994:2)],[m_s3_type11_28]) ).
cnf(t1997,plain,
$false,
inference(connection,[status(thm),parent(t1996:1)],[t1996:1,t1994:2]) ).
cnf(t1998,plain,
q_15(a),
inference(extension,[status(thm),parent(t1996:2)],[m_t3_4]) ).
cnf(t1999,plain,
$false,
inference(connection,[status(thm),parent(t1998:1)],[t1998:1,t1996:2]) ).
cnf(t2000,plain,
q_14(a),
inference(extension,[status(thm),parent(t1996:3)],[m_t3_3]) ).
cnf(t2001,plain,
$false,
inference(connection,[status(thm),parent(t2000:1)],[t2000:1,t1996:3]) ).
cnf(l872,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t1994:2),below(t1982:3)],[t1994:2]) ).
cnf(t2002,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t1994:3)],[m_s3_type12_25]) ).
cnf(t2003,plain,
$false,
inference(connection,[status(thm),parent(t2002:1)],[t2002:1,t1994:3]) ).
cnf(t2004,plain,
q_14(a),
inference(extension,[status(thm),parent(t2002:2)],[m_t3_3]) ).
cnf(t2005,plain,
$false,
inference(connection,[status(thm),parent(t2004:1)],[t2004:1,t2002:2]) ).
cnf(t2006,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t2002:3)],[l872:1]) ).
cnf(t2007,plain,
$false,
inference(connection,[status(thm),parent(t2006:1)],[t2006:1,t2002:3]) ).
cnf(l859,lemma,
q_9(a),
inference(lemma,[status(cth),parent(t1964:2),below(t1962:2)],[t1964:2]) ).
cnf(t2008,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t1964:3)],[m_s3_type12_18]) ).
cnf(t2009,plain,
$false,
inference(connection,[status(thm),parent(t2008:1)],[t2008:1,t1964:3]) ).
cnf(t2010,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t2008:2)],[m_s3_type11_22]) ).
cnf(t2011,plain,
$false,
inference(connection,[status(thm),parent(t2010:1)],[t2010:1,t2008:2]) ).
cnf(t2012,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t2010:2)],[m_s3_type12_26]) ).
cnf(t2013,plain,
$false,
inference(connection,[status(thm),parent(t2012:1)],[t2012:1,t2010:2]) ).
cnf(t2014,plain,
p_14(a),
inference(extension,[status(thm),parent(t2012:2)],[m_t3_1]) ).
cnf(t2015,plain,
$false,
inference(connection,[status(thm),parent(t2014:1)],[t2014:1,t2012:2]) ).
cnf(t2016,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t2012:3)],[m_s3_type12_28]) ).
cnf(t2017,plain,
$false,
inference(connection,[status(thm),parent(t2016:1)],[t2016:1,t2012:3]) ).
cnf(t2018,plain,
p_15(a),
inference(extension,[status(thm),parent(t2016:2)],[m_t3_2]) ).
cnf(t2019,plain,
$false,
inference(connection,[status(thm),parent(t2018:1)],[t2018:1,t2016:2]) ).
cnf(t2020,plain,
q_14(a),
inference(extension,[status(thm),parent(t2016:3)],[m_t3_3]) ).
cnf(t2021,plain,
$false,
inference(connection,[status(thm),parent(t2020:1)],[t2020:1,t2016:3]) ).
cnf(l879,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t2010:2),below(t2008:2)],[t2010:2]) ).
cnf(t2022,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t2010:3)],[m_s3_type12_24]) ).
cnf(t2023,plain,
$false,
inference(connection,[status(thm),parent(t2022:1)],[t2022:1,t2010:3]) ).
cnf(t2024,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t2022:2)],[m_s3_type11_28]) ).
cnf(t2025,plain,
$false,
inference(connection,[status(thm),parent(t2024:1)],[t2024:1,t2022:2]) ).
cnf(t2026,plain,
q_15(a),
inference(extension,[status(thm),parent(t2024:2)],[m_t3_4]) ).
cnf(t2027,plain,
$false,
inference(connection,[status(thm),parent(t2026:1)],[t2026:1,t2024:2]) ).
cnf(t2028,plain,
q_14(a),
inference(extension,[status(thm),parent(t2024:3)],[m_t3_3]) ).
cnf(t2029,plain,
$false,
inference(connection,[status(thm),parent(t2028:1)],[t2028:1,t2024:3]) ).
cnf(t2030,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t2022:3)],[l879:1]) ).
cnf(t2031,plain,
$false,
inference(connection,[status(thm),parent(t2030:1)],[t2030:1,t2022:3]) ).
cnf(t2032,plain,
q_9(a),
inference(lemma_extension,[status(thm),parent(t2008:3)],[l859:1]) ).
cnf(t2033,plain,
$false,
inference(connection,[status(thm),parent(t2032:1)],[t2032:1,t2008:3]) ).
cnf(l858,lemma,
p_7(a),
inference(lemma,[status(cth),parent(t1962:2),below(t1960:2)],[t1962:2]) ).
cnf(t2034,plain,
( ~ p_7(a)
| ~ q_8(a)
| q_6(a) ),
inference(extension,[status(thm),parent(t1962:3)],[m_s3_type12_13]) ).
cnf(t2035,plain,
$false,
inference(connection,[status(thm),parent(t2034:1)],[t2034:1,t1962:3]) ).
cnf(t2036,plain,
( ~ q_9(a)
| ~ p_10(a)
| q_8(a) ),
inference(extension,[status(thm),parent(t2034:2)],[m_s3_type12_18]) ).
cnf(t2037,plain,
$false,
inference(connection,[status(thm),parent(t2036:1)],[t2036:1,t2034:2]) ).
cnf(t2038,plain,
( ~ q_11(a)
| ~ q_12(a)
| p_10(a) ),
inference(extension,[status(thm),parent(t2036:2)],[m_s3_type11_22]) ).
cnf(t2039,plain,
$false,
inference(connection,[status(thm),parent(t2038:1)],[t2038:1,t2036:2]) ).
cnf(t2040,plain,
( ~ q_13(a)
| ~ p_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t2038:2)],[m_s3_type12_26]) ).
cnf(t2041,plain,
$false,
inference(connection,[status(thm),parent(t2040:1)],[t2040:1,t2038:2]) ).
cnf(t2042,plain,
p_14(a),
inference(extension,[status(thm),parent(t2040:2)],[m_t3_1]) ).
cnf(t2043,plain,
$false,
inference(connection,[status(thm),parent(t2042:1)],[t2042:1,t2040:2]) ).
cnf(t2044,plain,
( ~ q_14(a)
| ~ p_15(a)
| q_13(a) ),
inference(extension,[status(thm),parent(t2040:3)],[m_s3_type12_28]) ).
cnf(t2045,plain,
$false,
inference(connection,[status(thm),parent(t2044:1)],[t2044:1,t2040:3]) ).
cnf(t2046,plain,
p_15(a),
inference(extension,[status(thm),parent(t2044:2)],[m_t3_2]) ).
cnf(t2047,plain,
$false,
inference(connection,[status(thm),parent(t2046:1)],[t2046:1,t2044:2]) ).
cnf(t2048,plain,
q_14(a),
inference(extension,[status(thm),parent(t2044:3)],[m_t3_3]) ).
cnf(t2049,plain,
$false,
inference(connection,[status(thm),parent(t2048:1)],[t2048:1,t2044:3]) ).
cnf(l891,lemma,
q_12(a),
inference(lemma,[status(cth),parent(t2038:2),below(t2036:2)],[t2038:2]) ).
cnf(t2050,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t2038:3)],[m_s3_type12_24]) ).
cnf(t2051,plain,
$false,
inference(connection,[status(thm),parent(t2050:1)],[t2050:1,t2038:3]) ).
cnf(t2052,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t2050:2)],[m_s3_type11_28]) ).
cnf(t2053,plain,
$false,
inference(connection,[status(thm),parent(t2052:1)],[t2052:1,t2050:2]) ).
cnf(t2054,plain,
q_15(a),
inference(extension,[status(thm),parent(t2052:2)],[m_t3_4]) ).
cnf(t2055,plain,
$false,
inference(connection,[status(thm),parent(t2054:1)],[t2054:1,t2052:2]) ).
cnf(t2056,plain,
q_14(a),
inference(extension,[status(thm),parent(t2052:3)],[m_t3_3]) ).
cnf(t2057,plain,
$false,
inference(connection,[status(thm),parent(t2056:1)],[t2056:1,t2052:3]) ).
cnf(t2058,plain,
q_12(a),
inference(lemma_extension,[status(thm),parent(t2050:3)],[l891:1]) ).
cnf(t2059,plain,
$false,
inference(connection,[status(thm),parent(t2058:1)],[t2058:1,t2050:3]) ).
cnf(l890,lemma,
p_10(a),
inference(lemma,[status(cth),parent(t2036:2),below(t2034:2)],[t2036:2]) ).
cnf(t2060,plain,
( ~ p_10(a)
| ~ q_11(a)
| q_9(a) ),
inference(extension,[status(thm),parent(t2036:3)],[m_s3_type12_19]) ).
cnf(t2061,plain,
$false,
inference(connection,[status(thm),parent(t2060:1)],[t2060:1,t2036:3]) ).
cnf(t2062,plain,
( ~ q_12(a)
| ~ p_13(a)
| q_11(a) ),
inference(extension,[status(thm),parent(t2060:2)],[m_s3_type12_24]) ).
cnf(t2063,plain,
$false,
inference(connection,[status(thm),parent(t2062:1)],[t2062:1,t2060:2]) ).
cnf(t2064,plain,
( ~ q_14(a)
| ~ q_15(a)
| p_13(a) ),
inference(extension,[status(thm),parent(t2062:2)],[m_s3_type11_28]) ).
cnf(t2065,plain,
$false,
inference(connection,[status(thm),parent(t2064:1)],[t2064:1,t2062:2]) ).
cnf(t2066,plain,
q_15(a),
inference(extension,[status(thm),parent(t2064:2)],[m_t3_4]) ).
cnf(t2067,plain,
$false,
inference(connection,[status(thm),parent(t2066:1)],[t2066:1,t2064:2]) ).
cnf(t2068,plain,
q_14(a),
inference(extension,[status(thm),parent(t2064:3)],[m_t3_3]) ).
cnf(t2069,plain,
$false,
inference(connection,[status(thm),parent(t2068:1)],[t2068:1,t2064:3]) ).
cnf(l902,lemma,
p_13(a),
inference(lemma,[status(cth),parent(t2062:2),below(t2060:2)],[t2062:2]) ).
cnf(t2070,plain,
( ~ p_13(a)
| ~ q_14(a)
| q_12(a) ),
inference(extension,[status(thm),parent(t2062:3)],[m_s3_type12_25]) ).
cnf(t2071,plain,
$false,
inference(connection,[status(thm),parent(t2070:1)],[t2070:1,t2062:3]) ).
cnf(t2072,plain,
q_14(a),
inference(extension,[status(thm),parent(t2070:2)],[m_t3_3]) ).
cnf(t2073,plain,
$false,
inference(connection,[status(thm),parent(t2072:1)],[t2072:1,t2070:2]) ).
cnf(t2074,plain,
p_13(a),
inference(lemma_extension,[status(thm),parent(t2070:3)],[l902:1]) ).
cnf(t2075,plain,
$false,
inference(connection,[status(thm),parent(t2074:1)],[t2074:1,t2070:3]) ).
cnf(t2076,plain,
p_10(a),
inference(lemma_extension,[status(thm),parent(t2060:3)],[l890:1]) ).
cnf(t2077,plain,
$false,
inference(connection,[status(thm),parent(t2076:1)],[t2076:1,t2060:3]) ).
cnf(t2078,plain,
p_7(a),
inference(lemma_extension,[status(thm),parent(t2034:3)],[l858:1]) ).
cnf(t2079,plain,
$false,
inference(connection,[status(thm),parent(t2078:1)],[t2078:1,t2034:3]) ).
cnf(t2080,plain,
p_4(a),
inference(lemma_extension,[status(thm),parent(t1960:3)],[l767:1]) ).
cnf(t2081,plain,
$false,
inference(connection,[status(thm),parent(t2080:1)],[t2080:1,t1960:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN096-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 06:25:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 31.78/32.11 % SZS status Unsatisfiable for theBenchmark
% 31.78/32.11 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------