%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN142-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n008.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 09:09:35 AM UTC 2026
% Result : Unsatisfiable 34.58s 35.07s
% Output : Proof 34.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 36
% Syntax : Number of clauses : 247 ( 173 unt; 0 nHn; 246 RR)
% Number of literals : 397 ( 0 equ; 152 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 55 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
s0(b),
file('SYN001-0.ax',axiom_5) ).
cnf(axiom_14,axiom,
p0(b,X),
file('SYN001-0.ax',axiom_14) ).
cnf(axiom_20,axiom,
l0(a),
file('SYN001-0.ax',axiom_20) ).
cnf(axiom_21,axiom,
q0(b,e),
file('SYN001-0.ax',axiom_21) ).
cnf(axiom_23,axiom,
m0(a,e,e),
file('SYN001-0.ax',axiom_23) ).
cnf(axiom_25,axiom,
q0(d,d),
file('SYN001-0.ax',axiom_25) ).
cnf(axiom_30,axiom,
n0(e,e),
file('SYN001-0.ax',axiom_30) ).
cnf(axiom_31,axiom,
m0(b,b,e),
file('SYN001-0.ax',axiom_31) ).
cnf(axiom_32,axiom,
k0(b),
file('SYN001-0.ax',axiom_32) ).
cnf(axiom_34,axiom,
n0(c,d),
file('SYN001-0.ax',axiom_34) ).
cnf(axiom_36,axiom,
q0(a,b),
file('SYN001-0.ax',axiom_36) ).
cnf(axiom_37,axiom,
n0(b,a),
file('SYN001-0.ax',axiom_37) ).
cnf(axiom_38,axiom,
m0(b,a,a),
file('SYN001-0.ax',axiom_38) ).
cnf(rule_001,axiom,
( ~ n0(J,I)
| k1(I) ),
file('SYN001-0.ax',rule_001) ).
cnf(rule_002,axiom,
( ~ n0(H,G)
| l1(G,G) ),
file('SYN001-0.ax',rule_002) ).
cnf(rule_004,axiom,
( ~ l1(B,B)
| ~ l0(B)
| ~ k1(A)
| l1(A,A) ),
file('SYN001-0.ax',rule_004) ).
cnf(rule_050,axiom,
( ~ p0(b,E)
| ~ l0(D)
| ~ s0(b)
| n1(D,E,D) ),
file('SYN001-0.ax',rule_050) ).
cnf(rule_054,axiom,
( ~ n1(E,F,E)
| ~ l1(G,E)
| ~ l0(G)
| n1(E,F,F) ),
file('SYN001-0.ax',rule_054) ).
cnf(rule_059,axiom,
( ~ m0(I,J,H)
| ~ m0(J,A,A)
| n1(H,H,I) ),
file('SYN001-0.ax',rule_059) ).
cnf(rule_061,axiom,
( ~ s0(G)
| ~ k0(G)
| n1(G,G,G) ),
file('SYN001-0.ax',rule_061) ).
cnf(rule_062,axiom,
( ~ n1(E,D,E)
| ~ m0(E,E,F)
| n1(D,D,D) ),
file('SYN001-0.ax',rule_062) ).
cnf(rule_088,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('SYN001-0.ax',rule_088) ).
cnf(rule_091,axiom,
( ~ n1(D,C,G)
| ~ k1(F)
| ~ q0(D,E)
| p1(C,C,C) ),
file('SYN001-0.ax',rule_091) ).
cnf(rule_125,axiom,
( ~ p0(I,I)
| s1(I) ),
file('SYN001-0.ax',rule_125) ).
cnf(rule_126,axiom,
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
file('SYN001-0.ax',rule_126) ).
cnf(rule_130,axiom,
( ~ l1(e,e)
| k2(e,e) ),
file('SYN001-0.ax',rule_130) ).
cnf(rule_133,axiom,
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
file('SYN001-0.ax',rule_133) ).
cnf(rule_177,axiom,
( ~ p1(E,E,E)
| ~ k0(F)
| q2(E,F,F) ),
file('SYN001-0.ax',rule_177) ).
cnf(rule_182,axiom,
( ~ q2(G,H,F)
| ~ n1(G,F,H)
| ~ p1(F,F,H)
| q2(F,G,F) ),
file('SYN001-0.ax',rule_182) ).
cnf(rule_189,axiom,
( ~ s1(b)
| ~ q2(b,H,b)
| s2(H) ),
file('SYN001-0.ax',rule_189) ).
cnf(rule_252,axiom,
( ~ k2(J,J)
| ~ q0(I,H)
| p3(H,H,H) ),
file('SYN001-0.ax',rule_252) ).
cnf(rule_273,axiom,
( ~ m0(A,B,J)
| ~ s2(I)
| ~ q2(A,I,A)
| s3(I,J) ),
file('SYN001-0.ax',rule_273) ).
cnf(rule_279,axiom,
( ~ s3(a,E)
| ~ l2(G,F)
| m4(E,F) ),
file('SYN001-0.ax',rule_279) ).
cnf(rule_299,axiom,
( ~ l1(A,C)
| ~ p3(B,C,D)
| s4(A) ),
file('SYN001-0.ax',rule_299) ).
cnf(rule_305,axiom,
( ~ m4(e,e)
| ~ s4(B)
| m5(B,B) ),
file('SYN001-0.ax',rule_305) ).
cnf(prove_this,negated_conjecture,
~ m5(d,X),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ m5(d,d),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ s4(d)
| ~ m4(e,e)
| m5(d,d) ),
inference(extension,[status(thm),parent(t1:1)],[rule_305]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ l2(e,e)
| ~ s3(a,e)
| m4(e,e) ),
inference(extension,[status(thm),parent(t2:2)],[rule_279]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ q2(b,a,b)
| ~ s2(a)
| ~ m0(b,b,e)
| s3(a,e) ),
inference(extension,[status(thm),parent(t4:2)],[rule_273]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
m0(b,b,e),
inference(extension,[status(thm),parent(t6:2)],[axiom_31]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ q2(b,a,b)
| ~ s1(b)
| s2(a) ),
inference(extension,[status(thm),parent(t6:3)],[rule_189]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
( ~ q0(b,e)
| ~ s1(a)
| s1(b) ),
inference(extension,[status(thm),parent(t10:2)],[rule_126]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ q0(a,b)
| ~ s1(b)
| s1(a) ),
inference(extension,[status(thm),parent(t12:2)],[rule_126]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ p0(b,b)
| s1(b) ),
inference(extension,[status(thm),parent(t14:2)],[rule_125]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
p0(b,b),
inference(extension,[status(thm),parent(t16:2)],[axiom_14]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
q0(a,b),
inference(extension,[status(thm),parent(t14:3)],[axiom_36]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t14:3]) ).
cnf(t22,plain,
q0(b,e),
inference(extension,[status(thm),parent(t12:3)],[axiom_21]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t12:3]) ).
cnf(t24,plain,
( ~ p1(b,b,b)
| ~ n1(a,b,b)
| ~ q2(a,b,b)
| q2(b,a,b) ),
inference(extension,[status(thm),parent(t10:3)],[rule_182]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t10:3]) ).
cnf(t26,plain,
( ~ k0(b)
| ~ p1(a,a,a)
| q2(a,b,b) ),
inference(extension,[status(thm),parent(t24:2)],[rule_177]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
( ~ l0(a)
| p1(a,a,a) ),
inference(extension,[status(thm),parent(t26:2)],[rule_088]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
l0(a),
inference(extension,[status(thm),parent(t28:2)],[axiom_20]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
k0(b),
inference(extension,[status(thm),parent(t26:3)],[axiom_32]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t26:3]) ).
cnf(t34,plain,
( ~ l0(a)
| ~ l1(a,a)
| ~ n1(a,b,a)
| n1(a,b,b) ),
inference(extension,[status(thm),parent(t24:3)],[rule_054]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t24:3]) ).
cnf(t36,plain,
( ~ s0(b)
| ~ l0(a)
| ~ p0(b,b)
| n1(a,b,a) ),
inference(extension,[status(thm),parent(t34:2)],[rule_050]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
p0(b,b),
inference(extension,[status(thm),parent(t36:2)],[axiom_14]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
l0(a),
inference(extension,[status(thm),parent(t36:3)],[axiom_20]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t36:3]) ).
cnf(t42,plain,
s0(b),
inference(extension,[status(thm),parent(t36:4)],[axiom_5]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t36:4]) ).
cnf(t44,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t34:3)],[rule_002]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t34:3]) ).
cnf(t46,plain,
n0(b,a),
inference(extension,[status(thm),parent(t44:2)],[axiom_37]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
l0(a),
inference(extension,[status(thm),parent(t34:4)],[axiom_20]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t34:4]) ).
cnf(t50,plain,
( ~ q0(b,e)
| ~ k1(a)
| ~ n1(b,b,b)
| p1(b,b,b) ),
inference(extension,[status(thm),parent(t24:4)],[rule_091]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t24:4]) ).
cnf(t52,plain,
( ~ k0(b)
| ~ s0(b)
| n1(b,b,b) ),
inference(extension,[status(thm),parent(t50:2)],[rule_061]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
s0(b),
inference(extension,[status(thm),parent(t52:2)],[axiom_5]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
k0(b),
inference(extension,[status(thm),parent(t52:3)],[axiom_32]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t52:3]) ).
cnf(t58,plain,
( ~ n0(b,a)
| k1(a) ),
inference(extension,[status(thm),parent(t50:3)],[rule_001]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t50:3]) ).
cnf(t60,plain,
n0(b,a),
inference(extension,[status(thm),parent(t58:2)],[axiom_37]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t58:2]) ).
cnf(t62,plain,
q0(b,e),
inference(extension,[status(thm),parent(t50:4)],[axiom_21]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t50:4]) ).
cnf(t64,plain,
( ~ p1(b,b,b)
| ~ n1(a,b,b)
| ~ q2(a,b,b)
| q2(b,a,b) ),
inference(extension,[status(thm),parent(t6:4)],[rule_182]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t6:4]) ).
cnf(t66,plain,
( ~ k0(b)
| ~ p1(a,a,a)
| q2(a,b,b) ),
inference(extension,[status(thm),parent(t64:2)],[rule_177]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t64:2]) ).
cnf(t68,plain,
( ~ q0(a,b)
| ~ k1(a)
| ~ n1(a,a,b)
| p1(a,a,a) ),
inference(extension,[status(thm),parent(t66:2)],[rule_091]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
( ~ m0(a,e,e)
| ~ m0(b,a,a)
| n1(a,a,b) ),
inference(extension,[status(thm),parent(t68:2)],[rule_059]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t68:2]) ).
cnf(t72,plain,
m0(b,a,a),
inference(extension,[status(thm),parent(t70:2)],[axiom_38]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t70:2]) ).
cnf(t74,plain,
m0(a,e,e),
inference(extension,[status(thm),parent(t70:3)],[axiom_23]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t70:3]) ).
cnf(t76,plain,
( ~ n0(b,a)
| k1(a) ),
inference(extension,[status(thm),parent(t68:3)],[rule_001]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t68:3]) ).
cnf(t78,plain,
n0(b,a),
inference(extension,[status(thm),parent(t76:2)],[axiom_37]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t76:2]) ).
cnf(t80,plain,
q0(a,b),
inference(extension,[status(thm),parent(t68:4)],[axiom_36]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t68:4]) ).
cnf(t82,plain,
k0(b),
inference(extension,[status(thm),parent(t66:3)],[axiom_32]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t66:3]) ).
cnf(t84,plain,
( ~ l0(a)
| ~ l1(a,a)
| ~ n1(a,b,a)
| n1(a,b,b) ),
inference(extension,[status(thm),parent(t64:3)],[rule_054]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t64:3]) ).
cnf(t86,plain,
( ~ s0(b)
| ~ l0(a)
| ~ p0(b,b)
| n1(a,b,a) ),
inference(extension,[status(thm),parent(t84:2)],[rule_050]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t84:2]) ).
cnf(t88,plain,
p0(b,b),
inference(extension,[status(thm),parent(t86:2)],[axiom_14]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t86:2]) ).
cnf(t90,plain,
l0(a),
inference(extension,[status(thm),parent(t86:3)],[axiom_20]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t86:3]) ).
cnf(t92,plain,
s0(b),
inference(extension,[status(thm),parent(t86:4)],[axiom_5]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t86:4]) ).
cnf(t94,plain,
( ~ k1(a)
| ~ l0(a)
| ~ l1(a,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t84:3)],[rule_004]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t84:3]) ).
cnf(t96,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t94:2)],[rule_002]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t94:2]) ).
cnf(t98,plain,
n0(b,a),
inference(extension,[status(thm),parent(t96:2)],[axiom_37]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t96:2]) ).
cnf(t100,plain,
l0(a),
inference(extension,[status(thm),parent(t94:3)],[axiom_20]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t94:3]) ).
cnf(t102,plain,
( ~ n0(b,a)
| k1(a) ),
inference(extension,[status(thm),parent(t94:4)],[rule_001]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t94:4]) ).
cnf(t104,plain,
n0(b,a),
inference(extension,[status(thm),parent(t102:2)],[axiom_37]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t102:2]) ).
cnf(t106,plain,
l0(a),
inference(extension,[status(thm),parent(t84:4)],[axiom_20]) ).
cnf(t107,plain,
$false,
inference(connection,[status(thm),parent(t106:1)],[t106:1,t84:4]) ).
cnf(t108,plain,
( ~ q0(b,e)
| ~ k1(a)
| ~ n1(b,b,b)
| p1(b,b,b) ),
inference(extension,[status(thm),parent(t64:4)],[rule_091]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t64:4]) ).
cnf(t110,plain,
( ~ m0(b,b,e)
| ~ n1(b,b,b)
| n1(b,b,b) ),
inference(extension,[status(thm),parent(t108:2)],[rule_062]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t108:2]) ).
cnf(t112,plain,
( ~ k0(b)
| ~ s0(b)
| n1(b,b,b) ),
inference(extension,[status(thm),parent(t110:2)],[rule_061]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t110:2]) ).
cnf(t114,plain,
s0(b),
inference(extension,[status(thm),parent(t112:2)],[axiom_5]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t112:2]) ).
cnf(t116,plain,
k0(b),
inference(extension,[status(thm),parent(t112:3)],[axiom_32]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t112:3]) ).
cnf(t118,plain,
m0(b,b,e),
inference(extension,[status(thm),parent(t110:3)],[axiom_31]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t110:3]) ).
cnf(t120,plain,
( ~ n0(b,a)
| k1(a) ),
inference(extension,[status(thm),parent(t108:3)],[rule_001]) ).
cnf(t121,plain,
$false,
inference(connection,[status(thm),parent(t120:1)],[t120:1,t108:3]) ).
cnf(t122,plain,
n0(b,a),
inference(extension,[status(thm),parent(t120:2)],[axiom_37]) ).
cnf(t123,plain,
$false,
inference(connection,[status(thm),parent(t122:1)],[t122:1,t120:2]) ).
cnf(t124,plain,
q0(b,e),
inference(extension,[status(thm),parent(t108:4)],[axiom_21]) ).
cnf(t125,plain,
$false,
inference(connection,[status(thm),parent(t124:1)],[t124:1,t108:4]) ).
cnf(t126,plain,
( ~ p0(b,b)
| ~ s1(b)
| ~ m0(b,b,e)
| l2(e,e) ),
inference(extension,[status(thm),parent(t4:3)],[rule_133]) ).
cnf(t127,plain,
$false,
inference(connection,[status(thm),parent(t126:1)],[t126:1,t4:3]) ).
cnf(t128,plain,
m0(b,b,e),
inference(extension,[status(thm),parent(t126:2)],[axiom_31]) ).
cnf(t129,plain,
$false,
inference(connection,[status(thm),parent(t128:1)],[t128:1,t126:2]) ).
cnf(t130,plain,
( ~ q0(b,e)
| ~ s1(a)
| s1(b) ),
inference(extension,[status(thm),parent(t126:3)],[rule_126]) ).
cnf(t131,plain,
$false,
inference(connection,[status(thm),parent(t130:1)],[t130:1,t126:3]) ).
cnf(t132,plain,
( ~ q0(a,b)
| ~ s1(a)
| s1(a) ),
inference(extension,[status(thm),parent(t130:2)],[rule_126]) ).
cnf(t133,plain,
$false,
inference(connection,[status(thm),parent(t132:1)],[t132:1,t130:2]) ).
cnf(t134,plain,
( ~ q0(a,b)
| ~ s1(b)
| s1(a) ),
inference(extension,[status(thm),parent(t132:2)],[rule_126]) ).
cnf(t135,plain,
$false,
inference(connection,[status(thm),parent(t134:1)],[t134:1,t132:2]) ).
cnf(t136,plain,
( ~ p0(b,b)
| s1(b) ),
inference(extension,[status(thm),parent(t134:2)],[rule_125]) ).
cnf(t137,plain,
$false,
inference(connection,[status(thm),parent(t136:1)],[t136:1,t134:2]) ).
cnf(t138,plain,
p0(b,b),
inference(extension,[status(thm),parent(t136:2)],[axiom_14]) ).
cnf(t139,plain,
$false,
inference(connection,[status(thm),parent(t138:1)],[t138:1,t136:2]) ).
cnf(t140,plain,
q0(a,b),
inference(extension,[status(thm),parent(t134:3)],[axiom_36]) ).
cnf(t141,plain,
$false,
inference(connection,[status(thm),parent(t140:1)],[t140:1,t134:3]) ).
cnf(t142,plain,
q0(a,b),
inference(extension,[status(thm),parent(t132:3)],[axiom_36]) ).
cnf(t143,plain,
$false,
inference(connection,[status(thm),parent(t142:1)],[t142:1,t132:3]) ).
cnf(t144,plain,
q0(b,e),
inference(extension,[status(thm),parent(t130:3)],[axiom_21]) ).
cnf(t145,plain,
$false,
inference(connection,[status(thm),parent(t144:1)],[t144:1,t130:3]) ).
cnf(t146,plain,
p0(b,b),
inference(extension,[status(thm),parent(t126:4)],[axiom_14]) ).
cnf(t147,plain,
$false,
inference(connection,[status(thm),parent(t146:1)],[t146:1,t126:4]) ).
cnf(t148,plain,
( ~ p3(d,d,d)
| ~ l1(d,d)
| s4(d) ),
inference(extension,[status(thm),parent(t2:3)],[rule_299]) ).
cnf(t149,plain,
$false,
inference(connection,[status(thm),parent(t148:1)],[t148:1,t2:3]) ).
cnf(t150,plain,
( ~ k1(d)
| ~ l0(a)
| ~ l1(a,a)
| l1(d,d) ),
inference(extension,[status(thm),parent(t148:2)],[rule_004]) ).
cnf(t151,plain,
$false,
inference(connection,[status(thm),parent(t150:1)],[t150:1,t148:2]) ).
cnf(t152,plain,
( ~ k1(a)
| ~ l0(a)
| ~ l1(a,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t150:2)],[rule_004]) ).
cnf(t153,plain,
$false,
inference(connection,[status(thm),parent(t152:1)],[t152:1,t150:2]) ).
cnf(t154,plain,
( ~ k1(a)
| ~ l0(a)
| ~ l1(a,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t152:2)],[rule_004]) ).
cnf(t155,plain,
$false,
inference(connection,[status(thm),parent(t154:1)],[t154:1,t152:2]) ).
cnf(t156,plain,
( ~ k1(a)
| ~ l0(a)
| ~ l1(a,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t154:2)],[rule_004]) ).
cnf(t157,plain,
$false,
inference(connection,[status(thm),parent(t156:1)],[t156:1,t154:2]) ).
cnf(t158,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t156:2)],[rule_002]) ).
cnf(t159,plain,
$false,
inference(connection,[status(thm),parent(t158:1)],[t158:1,t156:2]) ).
cnf(t160,plain,
n0(b,a),
inference(extension,[status(thm),parent(t158:2)],[axiom_37]) ).
cnf(t161,plain,
$false,
inference(connection,[status(thm),parent(t160:1)],[t160:1,t158:2]) ).
cnf(t162,plain,
l0(a),
inference(extension,[status(thm),parent(t156:3)],[axiom_20]) ).
cnf(t163,plain,
$false,
inference(connection,[status(thm),parent(t162:1)],[t162:1,t156:3]) ).
cnf(t164,plain,
( ~ n0(b,a)
| k1(a) ),
inference(extension,[status(thm),parent(t156:4)],[rule_001]) ).
cnf(t165,plain,
$false,
inference(connection,[status(thm),parent(t164:1)],[t164:1,t156:4]) ).
cnf(t166,plain,
n0(b,a),
inference(extension,[status(thm),parent(t164:2)],[axiom_37]) ).
cnf(t167,plain,
$false,
inference(connection,[status(thm),parent(t166:1)],[t166:1,t164:2]) ).
cnf(t168,plain,
l0(a),
inference(extension,[status(thm),parent(t154:3)],[axiom_20]) ).
cnf(t169,plain,
$false,
inference(connection,[status(thm),parent(t168:1)],[t168:1,t154:3]) ).
cnf(t170,plain,
( ~ n0(b,a)
| k1(a) ),
inference(extension,[status(thm),parent(t154:4)],[rule_001]) ).
cnf(t171,plain,
$false,
inference(connection,[status(thm),parent(t170:1)],[t170:1,t154:4]) ).
cnf(t172,plain,
n0(b,a),
inference(extension,[status(thm),parent(t170:2)],[axiom_37]) ).
cnf(t173,plain,
$false,
inference(connection,[status(thm),parent(t172:1)],[t172:1,t170:2]) ).
cnf(t174,plain,
l0(a),
inference(extension,[status(thm),parent(t152:3)],[axiom_20]) ).
cnf(t175,plain,
$false,
inference(connection,[status(thm),parent(t174:1)],[t174:1,t152:3]) ).
cnf(t176,plain,
( ~ n0(b,a)
| k1(a) ),
inference(extension,[status(thm),parent(t152:4)],[rule_001]) ).
cnf(t177,plain,
$false,
inference(connection,[status(thm),parent(t176:1)],[t176:1,t152:4]) ).
cnf(t178,plain,
n0(b,a),
inference(extension,[status(thm),parent(t176:2)],[axiom_37]) ).
cnf(t179,plain,
$false,
inference(connection,[status(thm),parent(t178:1)],[t178:1,t176:2]) ).
cnf(t180,plain,
l0(a),
inference(extension,[status(thm),parent(t150:3)],[axiom_20]) ).
cnf(t181,plain,
$false,
inference(connection,[status(thm),parent(t180:1)],[t180:1,t150:3]) ).
cnf(t182,plain,
( ~ n0(c,d)
| k1(d) ),
inference(extension,[status(thm),parent(t150:4)],[rule_001]) ).
cnf(t183,plain,
$false,
inference(connection,[status(thm),parent(t182:1)],[t182:1,t150:4]) ).
cnf(t184,plain,
n0(c,d),
inference(extension,[status(thm),parent(t182:2)],[axiom_34]) ).
cnf(t185,plain,
$false,
inference(connection,[status(thm),parent(t184:1)],[t184:1,t182:2]) ).
cnf(t186,plain,
( ~ q0(d,d)
| ~ k2(e,e)
| p3(d,d,d) ),
inference(extension,[status(thm),parent(t148:3)],[rule_252]) ).
cnf(t187,plain,
$false,
inference(connection,[status(thm),parent(t186:1)],[t186:1,t148:3]) ).
cnf(t188,plain,
( ~ l1(e,e)
| k2(e,e) ),
inference(extension,[status(thm),parent(t186:2)],[rule_130]) ).
cnf(t189,plain,
$false,
inference(connection,[status(thm),parent(t188:1)],[t188:1,t186:2]) ).
cnf(t190,plain,
( ~ k1(e)
| ~ l0(a)
| ~ l1(a,a)
| l1(e,e) ),
inference(extension,[status(thm),parent(t188:2)],[rule_004]) ).
cnf(t191,plain,
$false,
inference(connection,[status(thm),parent(t190:1)],[t190:1,t188:2]) ).
cnf(t192,plain,
( ~ k1(a)
| ~ l0(a)
| ~ l1(a,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t190:2)],[rule_004]) ).
cnf(t193,plain,
$false,
inference(connection,[status(thm),parent(t192:1)],[t192:1,t190:2]) ).
cnf(t194,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t192:2)],[rule_002]) ).
cnf(t195,plain,
$false,
inference(connection,[status(thm),parent(t194:1)],[t194:1,t192:2]) ).
cnf(t196,plain,
n0(b,a),
inference(extension,[status(thm),parent(t194:2)],[axiom_37]) ).
cnf(t197,plain,
$false,
inference(connection,[status(thm),parent(t196:1)],[t196:1,t194:2]) ).
cnf(t198,plain,
l0(a),
inference(extension,[status(thm),parent(t192:3)],[axiom_20]) ).
cnf(t199,plain,
$false,
inference(connection,[status(thm),parent(t198:1)],[t198:1,t192:3]) ).
cnf(t200,plain,
( ~ n0(b,a)
| k1(a) ),
inference(extension,[status(thm),parent(t192:4)],[rule_001]) ).
cnf(t201,plain,
$false,
inference(connection,[status(thm),parent(t200:1)],[t200:1,t192:4]) ).
cnf(t202,plain,
n0(b,a),
inference(extension,[status(thm),parent(t200:2)],[axiom_37]) ).
cnf(t203,plain,
$false,
inference(connection,[status(thm),parent(t202:1)],[t202:1,t200:2]) ).
cnf(t204,plain,
l0(a),
inference(extension,[status(thm),parent(t190:3)],[axiom_20]) ).
cnf(t205,plain,
$false,
inference(connection,[status(thm),parent(t204:1)],[t204:1,t190:3]) ).
cnf(t206,plain,
( ~ n0(e,e)
| k1(e) ),
inference(extension,[status(thm),parent(t190:4)],[rule_001]) ).
cnf(t207,plain,
$false,
inference(connection,[status(thm),parent(t206:1)],[t206:1,t190:4]) ).
cnf(t208,plain,
n0(e,e),
inference(extension,[status(thm),parent(t206:2)],[axiom_30]) ).
cnf(t209,plain,
$false,
inference(connection,[status(thm),parent(t208:1)],[t208:1,t206:2]) ).
cnf(t210,plain,
q0(d,d),
inference(extension,[status(thm),parent(t186:3)],[axiom_25]) ).
cnf(t211,plain,
$false,
inference(connection,[status(thm),parent(t210:1)],[t210:1,t186:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN142-1 : TPTP v9.3.1. Released v1.1.0.
% 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
% 0.09/0.57 % Computer : n008.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sun Sep 20 06:26:40 UTC 2026
% 0.09/0.57 % CPUTime :
% 34.58/35.07 % SZS status Unsatisfiable for theBenchmark
% 34.58/35.07 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------