%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN036-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 09:09:15 AM UTC 2026
% Result : Unsatisfiable 1.79s 2.11s
% Output : Proof 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 32
% Syntax : Number of clauses : 238 ( 136 unt; 18 nHn; 230 RR)
% Number of literals : 405 ( 0 equ; 148 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 22 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
file('theBenchmark.p',clause_1) ).
cnf(clause_4,negated_conjecture,
( n10
| n6
| n9
| n2 ),
file('theBenchmark.p',clause_4) ).
cnf(clause_6,negated_conjecture,
( ~ n10
| n6
| n9
| ~ n2 ),
file('theBenchmark.p',clause_6) ).
cnf(clause_7,negated_conjecture,
( n10
| ~ n6
| ~ n9
| n2 ),
file('theBenchmark.p',clause_7) ).
cnf(clause_9,negated_conjecture,
( n8
| ~ p(s8) ),
file('theBenchmark.p',clause_9) ).
cnf(clause_10,negated_conjecture,
( p(X8)
| ~ n8 ),
file('theBenchmark.p',clause_10) ).
cnf(clause_11,negated_conjecture,
( n7
| ~ p(X7) ),
file('theBenchmark.p',clause_11) ).
cnf(clause_12,negated_conjecture,
( p(s7)
| ~ n7 ),
file('theBenchmark.p',clause_12) ).
cnf(clause_13,negated_conjecture,
( n6
| ~ n5(X6) ),
file('theBenchmark.p',clause_13) ).
cnf(clause_14,negated_conjecture,
( n5(s6)
| ~ n6 ),
file('theBenchmark.p',clause_14) ).
cnf(clause_15,negated_conjecture,
( n5(X)
| ~ q(s5(X))
| ~ q(X) ),
file('theBenchmark.p',clause_15) ).
cnf(clause_16,negated_conjecture,
( n5(X)
| q(s5(X))
| q(X) ),
file('theBenchmark.p',clause_16) ).
cnf(clause_17,negated_conjecture,
( q(X5)
| ~ q(X)
| ~ n5(X) ),
file('theBenchmark.p',clause_17) ).
cnf(clause_18,negated_conjecture,
( ~ q(X5)
| q(X)
| ~ n5(X) ),
file('theBenchmark.p',clause_18) ).
cnf(clause_19,negated_conjecture,
( n4
| ~ q(s4) ),
file('theBenchmark.p',clause_19) ).
cnf(clause_20,negated_conjecture,
( q(X4)
| ~ n4 ),
file('theBenchmark.p',clause_20) ).
cnf(clause_21,negated_conjecture,
( n3
| ~ q(X3) ),
file('theBenchmark.p',clause_21) ).
cnf(clause_22,negated_conjecture,
( q(s3)
| ~ n3 ),
file('theBenchmark.p',clause_22) ).
cnf(clause_23,negated_conjecture,
( n2
| ~ n1(X2) ),
file('theBenchmark.p',clause_23) ).
cnf(clause_24,negated_conjecture,
( n1(s2)
| ~ n2 ),
file('theBenchmark.p',clause_24) ).
cnf(clause_25,negated_conjecture,
( n1(X)
| ~ p(s1(X))
| ~ p(X) ),
file('theBenchmark.p',clause_25) ).
cnf(clause_26,negated_conjecture,
( n1(X)
| p(s1(X))
| p(X) ),
file('theBenchmark.p',clause_26) ).
cnf(clause_27,negated_conjecture,
( p(X1)
| ~ p(X)
| ~ n1(X) ),
file('theBenchmark.p',clause_27) ).
cnf(clause_28,negated_conjecture,
( ~ p(X1)
| p(X)
| ~ n1(X) ),
file('theBenchmark.p',clause_28) ).
cnf(clause_29,negated_conjecture,
( n9
| ~ n4
| ~ n3 ),
file('theBenchmark.p',clause_29) ).
cnf(clause_30,negated_conjecture,
( n9
| n4
| n3 ),
file('theBenchmark.p',clause_30) ).
cnf(clause_31,negated_conjecture,
( ~ n9
| n4
| ~ n3 ),
file('theBenchmark.p',clause_31) ).
cnf(clause_32,negated_conjecture,
( ~ n9
| ~ n4
| n3 ),
file('theBenchmark.p',clause_32) ).
cnf(clause_33,negated_conjecture,
( n10
| ~ n8
| ~ n7 ),
file('theBenchmark.p',clause_33) ).
cnf(clause_34,negated_conjecture,
( n10
| n8
| n7 ),
file('theBenchmark.p',clause_34) ).
cnf(clause_35,negated_conjecture,
( ~ n10
| n8
| ~ n7 ),
file('theBenchmark.p',clause_35) ).
cnf(clause_36,negated_conjecture,
( ~ n10
| ~ n8
| n7 ),
file('theBenchmark.p',clause_36) ).
cnf(t1,plain,
( ~ n9
| ~ n6
| ~ n10
| ~ n2 ),
inference(start,[status(thm),parent(0:0)],[clause_1]) ).
cnf(t2,plain,
( n9
| n6
| n10
| n2 ),
inference(extension,[status(thm),parent(t1:1)],[clause_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ n8
| n7
| ~ n10 ),
inference(extension,[status(thm),parent(t2:2)],[clause_36]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( p(s7)
| ~ n7 ),
inference(extension,[status(thm),parent(t4:2)],[clause_12]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ p(s1(s7))
| n1(s7)
| ~ p(s7) ),
inference(extension,[status(thm),parent(t6:2)],[clause_25]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( n2
| ~ n1(s7) ),
inference(extension,[status(thm),parent(t8:2)],[clause_23]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
$false,
inference(reduction,[status(thm),parent(t10:2)],[t10:2,t1:1]) ).
cnf(t13,plain,
( ~ n8
| p(s1(s7)) ),
inference(extension,[status(thm),parent(t8:3)],[clause_10]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t8:3]) ).
cnf(t15,plain,
( ~ n10
| ~ n7
| n8 ),
inference(extension,[status(thm),parent(t13:2)],[clause_35]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t13:2]) ).
cnf(t17,plain,
$false,
inference(reduction,[status(thm),parent(t15:2)],[t15:2,t4:2]) ).
cnf(t18,plain,
$false,
inference(reduction,[status(thm),parent(t15:3)],[t15:3,t2:2]) ).
cnf(l3,lemma,
~ n7,
inference(lemma,[status(cth),parent(t4:2),below(t2:2)],[t4:2]) ).
cnf(t19,plain,
( ~ p(s8)
| n8 ),
inference(extension,[status(thm),parent(t4:3)],[clause_9]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t4:3]) ).
cnf(t21,plain,
( p(s1(s8))
| n1(s8)
| p(s8) ),
inference(extension,[status(thm),parent(t19:2)],[clause_26]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t19:2]) ).
cnf(t23,plain,
( n2
| ~ n1(s8) ),
inference(extension,[status(thm),parent(t21:2)],[clause_23]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t21:2]) ).
cnf(t25,plain,
$false,
inference(reduction,[status(thm),parent(t23:2)],[t23:2,t1:1]) ).
cnf(t26,plain,
( n7
| ~ p(s1(s8)) ),
inference(extension,[status(thm),parent(t21:3)],[clause_11]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t21:3]) ).
cnf(t28,plain,
~ n7,
inference(lemma_extension,[status(thm),parent(t26:2)],[l3:1]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(l2,lemma,
~ n10,
inference(lemma,[status(cth),parent(t2:2),below(t1:1)],[t2:2]) ).
cnf(t30,plain,
( n5(s6)
| ~ n6 ),
inference(extension,[status(thm),parent(t2:3)],[clause_14]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t2:3]) ).
cnf(t32,plain,
( q(s6)
| ~ q(s3)
| ~ n5(s6) ),
inference(extension,[status(thm),parent(t30:2)],[clause_18]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( ~ n4
| q(s3) ),
inference(extension,[status(thm),parent(t32:2)],[clause_20]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
( ~ n9
| ~ n3
| n4 ),
inference(extension,[status(thm),parent(t34:2)],[clause_31]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
( n4
| n9
| n3 ),
inference(extension,[status(thm),parent(t36:2)],[clause_30]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
( n10
| ~ n6
| n2
| ~ n9 ),
inference(extension,[status(thm),parent(t38:2)],[clause_7]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
$false,
inference(reduction,[status(thm),parent(t40:2)],[t40:2,t1:1]) ).
cnf(t43,plain,
$false,
inference(reduction,[status(thm),parent(t40:3)],[t40:3,t2:3]) ).
cnf(t44,plain,
~ n10,
inference(lemma_extension,[status(thm),parent(t40:4)],[l2:1]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t40:4]) ).
cnf(t46,plain,
$false,
inference(reduction,[status(thm),parent(t38:3)],[t38:3,t34:2]) ).
cnf(t47,plain,
( n4
| n3
| n9 ),
inference(extension,[status(thm),parent(t36:3)],[clause_30]) ).
cnf(t48,plain,
$false,
inference(connection,[status(thm),parent(t47:1)],[t47:1,t36:3]) ).
cnf(t49,plain,
( q(s3)
| ~ n3 ),
inference(extension,[status(thm),parent(t47:2)],[clause_22]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t47:2]) ).
cnf(t51,plain,
$false,
inference(reduction,[status(thm),parent(t49:2)],[t49:2,t32:2]) ).
cnf(t52,plain,
$false,
inference(reduction,[status(thm),parent(t47:3)],[t47:3,t34:2]) ).
cnf(t53,plain,
( q(s4)
| ~ n5(s6)
| ~ q(s6) ),
inference(extension,[status(thm),parent(t32:3)],[clause_17]) ).
cnf(t54,plain,
$false,
inference(connection,[status(thm),parent(t53:1)],[t53:1,t32:3]) ).
cnf(t55,plain,
$false,
inference(reduction,[status(thm),parent(t53:2)],[t53:2,t30:2]) ).
cnf(t56,plain,
( n3
| ~ q(s4) ),
inference(extension,[status(thm),parent(t53:3)],[clause_21]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t53:3]) ).
cnf(t58,plain,
( n4
| ~ n9
| ~ n3 ),
inference(extension,[status(thm),parent(t56:2)],[clause_31]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t56:2]) ).
cnf(t60,plain,
( ~ n4
| ~ n3
| n9 ),
inference(extension,[status(thm),parent(t58:2)],[clause_29]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t58:2]) ).
cnf(t62,plain,
$false,
inference(reduction,[status(thm),parent(t60:2)],[t60:2,t56:2]) ).
cnf(t63,plain,
( ~ q(s4)
| n4 ),
inference(extension,[status(thm),parent(t60:3)],[clause_19]) ).
cnf(t64,plain,
$false,
inference(connection,[status(thm),parent(t63:1)],[t63:1,t60:3]) ).
cnf(t65,plain,
$false,
inference(reduction,[status(thm),parent(t63:2)],[t63:2,t53:3]) ).
cnf(t66,plain,
( n9
| ~ n3
| ~ n4 ),
inference(extension,[status(thm),parent(t58:3)],[clause_29]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t58:3]) ).
cnf(t68,plain,
$false,
inference(reduction,[status(thm),parent(t66:2)],[t66:2,t56:2]) ).
cnf(t69,plain,
( n10
| ~ n6
| n2
| ~ n9 ),
inference(extension,[status(thm),parent(t66:3)],[clause_7]) ).
cnf(t70,plain,
$false,
inference(connection,[status(thm),parent(t69:1)],[t69:1,t66:3]) ).
cnf(t71,plain,
$false,
inference(reduction,[status(thm),parent(t69:2)],[t69:2,t1:1]) ).
cnf(t72,plain,
$false,
inference(reduction,[status(thm),parent(t69:3)],[t69:3,t2:3]) ).
cnf(t73,plain,
~ n10,
inference(lemma_extension,[status(thm),parent(t69:4)],[l2:1]) ).
cnf(t74,plain,
$false,
inference(connection,[status(thm),parent(t73:1)],[t73:1,t69:4]) ).
cnf(l16,lemma,
~ n6,
inference(lemma,[status(cth),parent(t2:3),below(t1:1)],[t2:3]) ).
cnf(t75,plain,
( ~ n4
| n3
| ~ n9 ),
inference(extension,[status(thm),parent(t2:4)],[clause_32]) ).
cnf(t76,plain,
$false,
inference(connection,[status(thm),parent(t75:1)],[t75:1,t2:4]) ).
cnf(t77,plain,
( q(s3)
| ~ n3 ),
inference(extension,[status(thm),parent(t75:2)],[clause_22]) ).
cnf(t78,plain,
$false,
inference(connection,[status(thm),parent(t77:1)],[t77:1,t75:2]) ).
cnf(t79,plain,
( ~ q(s5(s3))
| n5(s3)
| ~ q(s3) ),
inference(extension,[status(thm),parent(t77:2)],[clause_15]) ).
cnf(t80,plain,
$false,
inference(connection,[status(thm),parent(t79:1)],[t79:1,t77:2]) ).
cnf(t81,plain,
( n6
| ~ n5(s3) ),
inference(extension,[status(thm),parent(t79:2)],[clause_13]) ).
cnf(t82,plain,
$false,
inference(connection,[status(thm),parent(t81:1)],[t81:1,t79:2]) ).
cnf(t83,plain,
~ n6,
inference(lemma_extension,[status(thm),parent(t81:2)],[l16:1]) ).
cnf(t84,plain,
$false,
inference(connection,[status(thm),parent(t83:1)],[t83:1,t81:2]) ).
cnf(t85,plain,
( ~ n4
| q(s5(s3)) ),
inference(extension,[status(thm),parent(t79:3)],[clause_20]) ).
cnf(t86,plain,
$false,
inference(connection,[status(thm),parent(t85:1)],[t85:1,t79:3]) ).
cnf(t87,plain,
( ~ n9
| ~ n3
| n4 ),
inference(extension,[status(thm),parent(t85:2)],[clause_31]) ).
cnf(t88,plain,
$false,
inference(connection,[status(thm),parent(t87:1)],[t87:1,t85:2]) ).
cnf(t89,plain,
$false,
inference(reduction,[status(thm),parent(t87:2)],[t87:2,t75:2]) ).
cnf(t90,plain,
$false,
inference(reduction,[status(thm),parent(t87:3)],[t87:3,t2:4]) ).
cnf(l43,lemma,
~ n3,
inference(lemma,[status(cth),parent(t75:2),below(t2:4)],[t75:2]) ).
cnf(t91,plain,
( ~ q(s4)
| n4 ),
inference(extension,[status(thm),parent(t75:3)],[clause_19]) ).
cnf(t92,plain,
$false,
inference(connection,[status(thm),parent(t91:1)],[t91:1,t75:3]) ).
cnf(t93,plain,
( q(s5(s4))
| n5(s4)
| q(s4) ),
inference(extension,[status(thm),parent(t91:2)],[clause_16]) ).
cnf(t94,plain,
$false,
inference(connection,[status(thm),parent(t93:1)],[t93:1,t91:2]) ).
cnf(t95,plain,
( n6
| ~ n5(s4) ),
inference(extension,[status(thm),parent(t93:2)],[clause_13]) ).
cnf(t96,plain,
$false,
inference(connection,[status(thm),parent(t95:1)],[t95:1,t93:2]) ).
cnf(t97,plain,
~ n6,
inference(lemma_extension,[status(thm),parent(t95:2)],[l16:1]) ).
cnf(t98,plain,
$false,
inference(connection,[status(thm),parent(t97:1)],[t97:1,t95:2]) ).
cnf(t99,plain,
( n3
| ~ q(s5(s4)) ),
inference(extension,[status(thm),parent(t93:3)],[clause_21]) ).
cnf(t100,plain,
$false,
inference(connection,[status(thm),parent(t99:1)],[t99:1,t93:3]) ).
cnf(t101,plain,
~ n3,
inference(lemma_extension,[status(thm),parent(t99:2)],[l43:1]) ).
cnf(t102,plain,
$false,
inference(connection,[status(thm),parent(t101:1)],[t101:1,t99:2]) ).
cnf(l1,lemma,
n2,
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t103,plain,
( n8
| n7
| n10 ),
inference(extension,[status(thm),parent(t1:2)],[clause_34]) ).
cnf(t104,plain,
$false,
inference(connection,[status(thm),parent(t103:1)],[t103:1,t1:2]) ).
cnf(t105,plain,
( ~ n8
| n10
| ~ n7 ),
inference(extension,[status(thm),parent(t103:2)],[clause_33]) ).
cnf(t106,plain,
$false,
inference(connection,[status(thm),parent(t105:1)],[t105:1,t103:2]) ).
cnf(t107,plain,
$false,
inference(reduction,[status(thm),parent(t105:2)],[t105:2,t1:2]) ).
cnf(t108,plain,
( ~ p(s8)
| n8 ),
inference(extension,[status(thm),parent(t105:3)],[clause_9]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t105:3]) ).
cnf(t110,plain,
( ~ p(s2)
| ~ n1(s2)
| p(s8) ),
inference(extension,[status(thm),parent(t108:2)],[clause_27]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t108:2]) ).
cnf(t112,plain,
( ~ n2
| n1(s2) ),
inference(extension,[status(thm),parent(t110:2)],[clause_24]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t110:2]) ).
cnf(t114,plain,
n2,
inference(lemma_extension,[status(thm),parent(t112:2)],[l1:1]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t112:2]) ).
cnf(l59,lemma,
n1(s2),
inference(lemma,[status(cth),parent(t110:2),below(t108:2)],[t110:2]) ).
cnf(t116,plain,
( ~ p(s7)
| ~ n1(s2)
| p(s2) ),
inference(extension,[status(thm),parent(t110:3)],[clause_28]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t110:3]) ).
cnf(t118,plain,
n1(s2),
inference(lemma_extension,[status(thm),parent(t116:2)],[l59:1]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t116:2]) ).
cnf(t120,plain,
( ~ n7
| p(s7) ),
inference(extension,[status(thm),parent(t116:3)],[clause_12]) ).
cnf(t121,plain,
$false,
inference(connection,[status(thm),parent(t120:1)],[t120:1,t116:3]) ).
cnf(t122,plain,
$false,
inference(reduction,[status(thm),parent(t120:2)],[t120:2,t103:2]) ).
cnf(t123,plain,
( n10
| ~ n7
| ~ n8 ),
inference(extension,[status(thm),parent(t103:3)],[clause_33]) ).
cnf(t124,plain,
$false,
inference(connection,[status(thm),parent(t123:1)],[t123:1,t103:3]) ).
cnf(t125,plain,
( ~ p(s2)
| n7 ),
inference(extension,[status(thm),parent(t123:2)],[clause_11]) ).
cnf(t126,plain,
$false,
inference(connection,[status(thm),parent(t125:1)],[t125:1,t123:2]) ).
cnf(t127,plain,
( ~ p(U_127)
| ~ n1(s2)
| p(s2) ),
inference(extension,[status(thm),parent(t125:2)],[clause_28]) ).
cnf(t128,plain,
$false,
inference(connection,[status(thm),parent(t127:1)],[t127:1,t125:2]) ).
cnf(t129,plain,
( ~ n2
| n1(s2) ),
inference(extension,[status(thm),parent(t127:2)],[clause_24]) ).
cnf(t130,plain,
$false,
inference(connection,[status(thm),parent(t129:1)],[t129:1,t127:2]) ).
cnf(t131,plain,
n2,
inference(lemma_extension,[status(thm),parent(t129:2)],[l1:1]) ).
cnf(t132,plain,
$false,
inference(connection,[status(thm),parent(t131:1)],[t131:1,t129:2]) ).
cnf(t133,plain,
( ~ n8
| p(U_127) ),
inference(extension,[status(thm),parent(t127:3)],[clause_10]) ).
cnf(t134,plain,
$false,
inference(connection,[status(thm),parent(t133:1)],[t133:1,t127:3]) ).
cnf(t135,plain,
$false,
inference(reduction,[status(thm),parent(t133:2)],[t133:2,t103:3]) ).
cnf(t136,plain,
$false,
inference(reduction,[status(thm),parent(t123:3)],[t123:3,t1:2]) ).
cnf(l54,lemma,
n10,
inference(lemma,[status(cth),parent(t1:2),below(0:0)],[t1:2]) ).
cnf(t137,plain,
( n9
| ~ n10
| ~ n2
| n6 ),
inference(extension,[status(thm),parent(t1:3)],[clause_6]) ).
cnf(t138,plain,
$false,
inference(connection,[status(thm),parent(t137:1)],[t137:1,t1:3]) ).
cnf(t139,plain,
n2,
inference(lemma_extension,[status(thm),parent(t137:2)],[l1:1]) ).
cnf(t140,plain,
$false,
inference(connection,[status(thm),parent(t139:1)],[t139:1,t137:2]) ).
cnf(t141,plain,
n10,
inference(lemma_extension,[status(thm),parent(t137:3)],[l54:1]) ).
cnf(t142,plain,
$false,
inference(connection,[status(thm),parent(t141:1)],[t141:1,t137:3]) ).
cnf(t143,plain,
( ~ n4
| n3
| ~ n9 ),
inference(extension,[status(thm),parent(t137:4)],[clause_32]) ).
cnf(t144,plain,
$false,
inference(connection,[status(thm),parent(t143:1)],[t143:1,t137:4]) ).
cnf(t145,plain,
( q(s3)
| ~ n3 ),
inference(extension,[status(thm),parent(t143:2)],[clause_22]) ).
cnf(t146,plain,
$false,
inference(connection,[status(thm),parent(t145:1)],[t145:1,t143:2]) ).
cnf(t147,plain,
( ~ q(s5(s3))
| n5(s3)
| ~ q(s3) ),
inference(extension,[status(thm),parent(t145:2)],[clause_15]) ).
cnf(t148,plain,
$false,
inference(connection,[status(thm),parent(t147:1)],[t147:1,t145:2]) ).
cnf(t149,plain,
( n6
| ~ n5(s3) ),
inference(extension,[status(thm),parent(t147:2)],[clause_13]) ).
cnf(t150,plain,
$false,
inference(connection,[status(thm),parent(t149:1)],[t149:1,t147:2]) ).
cnf(t151,plain,
$false,
inference(reduction,[status(thm),parent(t149:2)],[t149:2,t1:3]) ).
cnf(t152,plain,
( ~ n4
| q(s5(s3)) ),
inference(extension,[status(thm),parent(t147:3)],[clause_20]) ).
cnf(t153,plain,
$false,
inference(connection,[status(thm),parent(t152:1)],[t152:1,t147:3]) ).
cnf(t154,plain,
( ~ n9
| ~ n3
| n4 ),
inference(extension,[status(thm),parent(t152:2)],[clause_31]) ).
cnf(t155,plain,
$false,
inference(connection,[status(thm),parent(t154:1)],[t154:1,t152:2]) ).
cnf(t156,plain,
$false,
inference(reduction,[status(thm),parent(t154:2)],[t154:2,t143:2]) ).
cnf(t157,plain,
$false,
inference(reduction,[status(thm),parent(t154:3)],[t154:3,t137:4]) ).
cnf(l72,lemma,
~ n3,
inference(lemma,[status(cth),parent(t143:2),below(t137:4)],[t143:2]) ).
cnf(t158,plain,
( ~ q(s4)
| n4 ),
inference(extension,[status(thm),parent(t143:3)],[clause_19]) ).
cnf(t159,plain,
$false,
inference(connection,[status(thm),parent(t158:1)],[t158:1,t143:3]) ).
cnf(t160,plain,
( q(s5(s4))
| n5(s4)
| q(s4) ),
inference(extension,[status(thm),parent(t158:2)],[clause_16]) ).
cnf(t161,plain,
$false,
inference(connection,[status(thm),parent(t160:1)],[t160:1,t158:2]) ).
cnf(t162,plain,
( n6
| ~ n5(s4) ),
inference(extension,[status(thm),parent(t160:2)],[clause_13]) ).
cnf(t163,plain,
$false,
inference(connection,[status(thm),parent(t162:1)],[t162:1,t160:2]) ).
cnf(t164,plain,
$false,
inference(reduction,[status(thm),parent(t162:2)],[t162:2,t1:3]) ).
cnf(t165,plain,
( n3
| ~ q(s5(s4)) ),
inference(extension,[status(thm),parent(t160:3)],[clause_21]) ).
cnf(t166,plain,
$false,
inference(connection,[status(thm),parent(t165:1)],[t165:1,t160:3]) ).
cnf(t167,plain,
~ n3,
inference(lemma_extension,[status(thm),parent(t165:2)],[l72:1]) ).
cnf(t168,plain,
$false,
inference(connection,[status(thm),parent(t167:1)],[t167:1,t165:2]) ).
cnf(l70,lemma,
n6,
inference(lemma,[status(cth),parent(t1:3),below(0:0)],[t1:3]) ).
cnf(t169,plain,
( n4
| n3
| n9 ),
inference(extension,[status(thm),parent(t1:4)],[clause_30]) ).
cnf(t170,plain,
$false,
inference(connection,[status(thm),parent(t169:1)],[t169:1,t1:4]) ).
cnf(t171,plain,
( ~ n4
| n9
| ~ n3 ),
inference(extension,[status(thm),parent(t169:2)],[clause_29]) ).
cnf(t172,plain,
$false,
inference(connection,[status(thm),parent(t171:1)],[t171:1,t169:2]) ).
cnf(t173,plain,
$false,
inference(reduction,[status(thm),parent(t171:2)],[t171:2,t1:4]) ).
cnf(t174,plain,
( ~ q(s4)
| n4 ),
inference(extension,[status(thm),parent(t171:3)],[clause_19]) ).
cnf(t175,plain,
$false,
inference(connection,[status(thm),parent(t174:1)],[t174:1,t171:3]) ).
cnf(t176,plain,
( ~ q(s6)
| ~ n5(s6)
| q(s4) ),
inference(extension,[status(thm),parent(t174:2)],[clause_17]) ).
cnf(t177,plain,
$false,
inference(connection,[status(thm),parent(t176:1)],[t176:1,t174:2]) ).
cnf(t178,plain,
( ~ n6
| n5(s6) ),
inference(extension,[status(thm),parent(t176:2)],[clause_14]) ).
cnf(t179,plain,
$false,
inference(connection,[status(thm),parent(t178:1)],[t178:1,t176:2]) ).
cnf(t180,plain,
n6,
inference(lemma_extension,[status(thm),parent(t178:2)],[l70:1]) ).
cnf(t181,plain,
$false,
inference(connection,[status(thm),parent(t180:1)],[t180:1,t178:2]) ).
cnf(l90,lemma,
n5(s6),
inference(lemma,[status(cth),parent(t176:2),below(t174:2)],[t176:2]) ).
cnf(t182,plain,
( ~ q(s3)
| ~ n5(s6)
| q(s6) ),
inference(extension,[status(thm),parent(t176:3)],[clause_18]) ).
cnf(t183,plain,
$false,
inference(connection,[status(thm),parent(t182:1)],[t182:1,t176:3]) ).
cnf(t184,plain,
n5(s6),
inference(lemma_extension,[status(thm),parent(t182:2)],[l90:1]) ).
cnf(t185,plain,
$false,
inference(connection,[status(thm),parent(t184:1)],[t184:1,t182:2]) ).
cnf(t186,plain,
( ~ n3
| q(s3) ),
inference(extension,[status(thm),parent(t182:3)],[clause_22]) ).
cnf(t187,plain,
$false,
inference(connection,[status(thm),parent(t186:1)],[t186:1,t182:3]) ).
cnf(t188,plain,
$false,
inference(reduction,[status(thm),parent(t186:2)],[t186:2,t169:2]) ).
cnf(t189,plain,
( n9
| ~ n3
| ~ n4 ),
inference(extension,[status(thm),parent(t169:3)],[clause_29]) ).
cnf(t190,plain,
$false,
inference(connection,[status(thm),parent(t189:1)],[t189:1,t169:3]) ).
cnf(t191,plain,
( ~ q(U_139)
| n3 ),
inference(extension,[status(thm),parent(t189:2)],[clause_21]) ).
cnf(t192,plain,
$false,
inference(connection,[status(thm),parent(t191:1)],[t191:1,t189:2]) ).
cnf(t193,plain,
( ~ n4
| q(U_139) ),
inference(extension,[status(thm),parent(t191:2)],[clause_20]) ).
cnf(t194,plain,
$false,
inference(connection,[status(thm),parent(t193:1)],[t193:1,t191:2]) ).
cnf(t195,plain,
$false,
inference(reduction,[status(thm),parent(t193:2)],[t193:2,t169:3]) ).
cnf(t196,plain,
$false,
inference(reduction,[status(thm),parent(t189:3)],[t189:3,t1:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 06:22:58 UTC 2026
% 0.08/0.36 % CPUTime :
% 1.79/2.11 % SZS status Unsatisfiable for theBenchmark
% 1.79/2.11 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------