%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN159-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n002.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 09:09:38 AM UTC 2026
% Result : Unsatisfiable 38.35s 38.69s
% Output : Proof 38.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 52
% Syntax : Number of clauses : 262 ( 169 unt; 0 nHn; 259 RR)
% Number of literals : 426 ( 0 equ; 166 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 74 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d),
file('SYN001-0.ax',axiom_1) ).
cnf(axiom_9,axiom,
r0(b),
file('SYN001-0.ax',axiom_9) ).
cnf(axiom_13,axiom,
r0(e),
file('SYN001-0.ax',axiom_13) ).
cnf(axiom_14,axiom,
p0(b,X),
file('SYN001-0.ax',axiom_14) ).
cnf(axiom_17,axiom,
q0(X,d),
file('SYN001-0.ax',axiom_17) ).
cnf(axiom_18,axiom,
p0(c,b),
file('SYN001-0.ax',axiom_18) ).
cnf(axiom_19,axiom,
m0(X,d,Y),
file('SYN001-0.ax',axiom_19) ).
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_25,axiom,
q0(d,d),
file('SYN001-0.ax',axiom_25) ).
cnf(axiom_27,axiom,
m0(e,b,c),
file('SYN001-0.ax',axiom_27) ).
cnf(axiom_28,axiom,
k0(e),
file('SYN001-0.ax',axiom_28) ).
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_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_003,axiom,
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
file('SYN001-0.ax',rule_003) ).
cnf(rule_004,axiom,
( ~ l1(B,B)
| ~ l0(B)
| ~ k1(A)
| l1(A,A) ),
file('SYN001-0.ax',rule_004) ).
cnf(rule_025,axiom,
( ~ m0(D,E,C)
| m1(C,C,C) ),
file('SYN001-0.ax',rule_025) ).
cnf(rule_030,axiom,
( ~ r0(e)
| m1(e,e,e) ),
file('SYN001-0.ax',rule_030) ).
cnf(rule_090,axiom,
( ~ k0(e)
| ~ r0(e)
| p1(e,e,e) ),
file('SYN001-0.ax',rule_090) ).
cnf(rule_117,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('SYN001-0.ax',rule_117) ).
cnf(rule_120,axiom,
( ~ r0(b)
| q1(b,b,b) ),
file('SYN001-0.ax',rule_120) ).
cnf(rule_122,axiom,
( ~ m0(G,H,G)
| q1(G,G,G) ),
file('SYN001-0.ax',rule_122) ).
cnf(rule_124,axiom,
( ~ q1(d,E,d)
| ~ s0(d)
| ~ q0(D,E)
| r1(D) ),
file('SYN001-0.ax',rule_124) ).
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_129,axiom,
( ~ q1(A,J,J)
| k2(J,J) ),
file('SYN001-0.ax',rule_129) ).
cnf(rule_130,axiom,
( ~ l1(e,e)
| k2(e,e) ),
file('SYN001-0.ax',rule_130) ).
cnf(rule_176,axiom,
( ~ m1(E,D,E)
| p2(D,E,D) ),
file('SYN001-0.ax',rule_176) ).
cnf(rule_181,axiom,
( ~ p1(I,I,I)
| q2(I,I,I) ),
file('SYN001-0.ax',rule_181) ).
cnf(rule_186,axiom,
( ~ l1(H,G)
| q2(G,G,H) ),
file('SYN001-0.ax',rule_186) ).
cnf(rule_187,axiom,
( ~ q2(D,D,D)
| ~ k0(D)
| ~ m0(E,F,C)
| ~ r1(D)
| q2(C,D,C) ),
file('SYN001-0.ax',rule_187) ).
cnf(rule_213,axiom,
( ~ p2(J,A,A)
| ~ r1(I)
| k3(I,I,I) ),
file('SYN001-0.ax',rule_213) ).
cnf(rule_238,axiom,
( ~ p2(I,I,I)
| m3(I,I,I) ),
file('SYN001-0.ax',rule_238) ).
cnf(rule_240,axiom,
( ~ p2(E,F,D)
| n3(D) ),
file('SYN001-0.ax',rule_240) ).
cnf(rule_252,axiom,
( ~ k2(J,J)
| ~ q0(I,H)
| p3(H,H,H) ),
file('SYN001-0.ax',rule_252) ).
cnf(rule_255,axiom,
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
file('SYN001-0.ax',rule_255) ).
cnf(rule_274,axiom,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
file('SYN001-0.ax',rule_274) ).
cnf(rule_277,axiom,
( ~ p3(A,B,J)
| l4(J) ),
file('SYN001-0.ax',rule_277) ).
cnf(rule_278,axiom,
( ~ l4(I)
| ~ m0(I,H,H)
| l4(H) ),
file('SYN001-0.ax',rule_278) ).
cnf(rule_284,axiom,
( ~ m3(H,H,H)
| ~ k4(I)
| n4(H,H) ),
file('SYN001-0.ax',rule_284) ).
cnf(rule_291,axiom,
( ~ p3(J,J,I)
| p4(I,I,I) ),
file('SYN001-0.ax',rule_291) ).
cnf(rule_295,axiom,
( ~ m3(E,F,E)
| ~ q2(E,C,B)
| ~ k3(D,D,B)
| q4(B,C) ),
file('SYN001-0.ax',rule_295) ).
cnf(rule_296,axiom,
( ~ q4(J,A)
| ~ l4(J)
| ~ r1(I)
| q4(I,I) ),
file('SYN001-0.ax',rule_296) ).
cnf(rule_307,axiom,
( ~ n5(F,C)
| ~ p4(F,F,C)
| ~ n4(B,E)
| ~ q4(D,E)
| n5(B,C) ),
file('SYN001-0.ax',rule_307) ).
cnf(rule_316,axiom,
( ~ p4(b,b,J)
| ~ s1(H)
| ~ p4(I,H,H)
| n5(H,H) ),
file('SYN001-0.ax',rule_316) ).
cnf(prove_this,negated_conjecture,
~ n5(a,e),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ n5(a,e),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ q4(a,a)
| ~ n4(a,a)
| ~ p4(e,e,e)
| ~ n5(e,e)
| n5(a,e) ),
inference(extension,[status(thm),parent(t1:1)],[rule_307]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p4(e,e,e)
| ~ s1(e)
| ~ p4(b,b,b)
| n5(e,e) ),
inference(extension,[status(thm),parent(t2:2)],[rule_316]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p3(b,b,b)
| p4(b,b,b) ),
inference(extension,[status(thm),parent(t4:2)],[rule_291]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ q0(a,b)
| ~ k2(e,e)
| p3(b,b,b) ),
inference(extension,[status(thm),parent(t6:2)],[rule_252]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ l1(e,e)
| k2(e,e) ),
inference(extension,[status(thm),parent(t8:2)],[rule_130]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ n0(e,e)
| l1(e,e) ),
inference(extension,[status(thm),parent(t10:2)],[rule_002]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
n0(e,e),
inference(extension,[status(thm),parent(t12:2)],[axiom_30]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
q0(a,b),
inference(extension,[status(thm),parent(t8:3)],[axiom_36]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:3]) ).
cnf(t18,plain,
( ~ q0(e,d)
| ~ s1(a)
| s1(e) ),
inference(extension,[status(thm),parent(t4:3)],[rule_126]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t4:3]) ).
cnf(t20,plain,
( ~ q0(a,b)
| ~ s1(a)
| s1(a) ),
inference(extension,[status(thm),parent(t18:2)],[rule_126]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ q0(a,b)
| ~ s1(b)
| s1(a) ),
inference(extension,[status(thm),parent(t20:2)],[rule_126]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( ~ p0(b,b)
| s1(b) ),
inference(extension,[status(thm),parent(t22:2)],[rule_125]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
p0(b,b),
inference(extension,[status(thm),parent(t24:2)],[axiom_14]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
q0(a,b),
inference(extension,[status(thm),parent(t22:3)],[axiom_36]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t22:3]) ).
cnf(t30,plain,
q0(a,b),
inference(extension,[status(thm),parent(t20:3)],[axiom_36]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t20:3]) ).
cnf(t32,plain,
q0(e,d),
inference(extension,[status(thm),parent(t18:3)],[axiom_17]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t18:3]) ).
cnf(t34,plain,
( ~ p3(e,e,e)
| p4(e,e,e) ),
inference(extension,[status(thm),parent(t4:4)],[rule_291]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t4:4]) ).
cnf(t36,plain,
( ~ q0(b,e)
| ~ k2(e,e)
| p3(e,e,e) ),
inference(extension,[status(thm),parent(t34:2)],[rule_252]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
( ~ l1(e,e)
| k2(e,e) ),
inference(extension,[status(thm),parent(t36:2)],[rule_130]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
( ~ n0(e,e)
| l1(e,e) ),
inference(extension,[status(thm),parent(t38:2)],[rule_002]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
n0(e,e),
inference(extension,[status(thm),parent(t40:2)],[axiom_30]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
q0(b,e),
inference(extension,[status(thm),parent(t36:3)],[axiom_21]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t36:3]) ).
cnf(t46,plain,
( ~ p3(e,e,e)
| p4(e,e,e) ),
inference(extension,[status(thm),parent(t2:3)],[rule_291]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t2:3]) ).
cnf(t48,plain,
( ~ q0(b,e)
| ~ k2(e,e)
| p3(e,e,e) ),
inference(extension,[status(thm),parent(t46:2)],[rule_252]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
( ~ l1(e,e)
| k2(e,e) ),
inference(extension,[status(thm),parent(t48:2)],[rule_130]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
( ~ k1(e)
| ~ l0(a)
| ~ l1(a,a)
| l1(e,e) ),
inference(extension,[status(thm),parent(t50:2)],[rule_004]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t52:2)],[rule_002]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
n0(b,a),
inference(extension,[status(thm),parent(t54:2)],[axiom_37]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
l0(a),
inference(extension,[status(thm),parent(t52:3)],[axiom_20]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t52:3]) ).
cnf(t60,plain,
( ~ n0(e,e)
| k1(e) ),
inference(extension,[status(thm),parent(t52:4)],[rule_001]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t52:4]) ).
cnf(t62,plain,
n0(e,e),
inference(extension,[status(thm),parent(t60:2)],[axiom_30]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
q0(b,e),
inference(extension,[status(thm),parent(t48:3)],[axiom_21]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t48:3]) ).
cnf(t66,plain,
( ~ k4(c)
| ~ m3(a,a,a)
| n4(a,a) ),
inference(extension,[status(thm),parent(t2:4)],[rule_284]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t2:4]) ).
cnf(t68,plain,
( ~ p2(a,a,a)
| m3(a,a,a) ),
inference(extension,[status(thm),parent(t66:2)],[rule_238]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
( ~ m1(a,a,a)
| p2(a,a,a) ),
inference(extension,[status(thm),parent(t68:2)],[rule_176]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t68:2]) ).
cnf(t72,plain,
( ~ m0(b,a,a)
| m1(a,a,a) ),
inference(extension,[status(thm),parent(t70:2)],[rule_025]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t70:2]) ).
cnf(t74,plain,
m0(b,a,a),
inference(extension,[status(thm),parent(t72:2)],[axiom_38]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t72:2]) ).
cnf(t76,plain,
( ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e)
| k4(c) ),
inference(extension,[status(thm),parent(t66:3)],[rule_274]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t66:3]) ).
cnf(t78,plain,
( ~ p2(e,e,e)
| n3(e) ),
inference(extension,[status(thm),parent(t76:2)],[rule_240]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t76:2]) ).
cnf(t80,plain,
( ~ m1(e,e,e)
| p2(e,e,e) ),
inference(extension,[status(thm),parent(t78:2)],[rule_176]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t78:2]) ).
cnf(t82,plain,
( ~ r0(e)
| m1(e,e,e) ),
inference(extension,[status(thm),parent(t80:2)],[rule_030]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t80:2]) ).
cnf(t84,plain,
r0(e),
inference(extension,[status(thm),parent(t82:2)],[axiom_13]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t82:2]) ).
cnf(t86,plain,
( ~ q2(e,e,b)
| ~ n0(e,e)
| q3(e,b) ),
inference(extension,[status(thm),parent(t76:3)],[rule_255]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t76:3]) ).
cnf(t88,plain,
n0(e,e),
inference(extension,[status(thm),parent(t86:2)],[axiom_30]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t86:2]) ).
cnf(t90,plain,
( ~ l1(b,e)
| q2(e,e,b) ),
inference(extension,[status(thm),parent(t86:3)],[rule_186]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t86:3]) ).
cnf(t92,plain,
( ~ p0(c,b)
| ~ r0(e)
| ~ m0(e,b,c)
| l1(b,e) ),
inference(extension,[status(thm),parent(t90:2)],[rule_003]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t90:2]) ).
cnf(t94,plain,
m0(e,b,c),
inference(extension,[status(thm),parent(t92:2)],[axiom_27]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t92:2]) ).
cnf(t96,plain,
r0(e),
inference(extension,[status(thm),parent(t92:3)],[axiom_13]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t92:3]) ).
cnf(t98,plain,
p0(c,b),
inference(extension,[status(thm),parent(t92:4)],[axiom_18]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t92:4]) ).
cnf(t100,plain,
n0(c,d),
inference(extension,[status(thm),parent(t76:4)],[axiom_34]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t76:4]) ).
cnf(t102,plain,
( ~ r1(a)
| ~ l4(d)
| ~ q4(d,d)
| q4(a,a) ),
inference(extension,[status(thm),parent(t2:5)],[rule_296]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t2:5]) ).
cnf(t104,plain,
( ~ r1(d)
| ~ l4(e)
| ~ q4(e,e)
| q4(d,d) ),
inference(extension,[status(thm),parent(t102:2)],[rule_296]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t102:2]) ).
cnf(t106,plain,
( ~ k3(e,e,e)
| ~ q2(e,e,e)
| ~ m3(e,e,e)
| q4(e,e) ),
inference(extension,[status(thm),parent(t104:2)],[rule_295]) ).
cnf(t107,plain,
$false,
inference(connection,[status(thm),parent(t106:1)],[t106:1,t104:2]) ).
cnf(t108,plain,
( ~ p2(e,e,e)
| m3(e,e,e) ),
inference(extension,[status(thm),parent(t106:2)],[rule_238]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t106:2]) ).
cnf(t110,plain,
( ~ m1(e,e,e)
| p2(e,e,e) ),
inference(extension,[status(thm),parent(t108:2)],[rule_176]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t108:2]) ).
cnf(t112,plain,
( ~ r0(e)
| m1(e,e,e) ),
inference(extension,[status(thm),parent(t110:2)],[rule_030]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t110:2]) ).
cnf(t114,plain,
r0(e),
inference(extension,[status(thm),parent(t112:2)],[axiom_13]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t112:2]) ).
cnf(t116,plain,
( ~ r1(e)
| ~ m0(b,b,e)
| ~ k0(e)
| ~ q2(e,e,e)
| q2(e,e,e) ),
inference(extension,[status(thm),parent(t106:3)],[rule_187]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t106:3]) ).
cnf(t118,plain,
( ~ p1(e,e,e)
| q2(e,e,e) ),
inference(extension,[status(thm),parent(t116:2)],[rule_181]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t116:2]) ).
cnf(t120,plain,
( ~ r0(e)
| ~ k0(e)
| p1(e,e,e) ),
inference(extension,[status(thm),parent(t118:2)],[rule_090]) ).
cnf(t121,plain,
$false,
inference(connection,[status(thm),parent(t120:1)],[t120:1,t118:2]) ).
cnf(t122,plain,
k0(e),
inference(extension,[status(thm),parent(t120:2)],[axiom_28]) ).
cnf(t123,plain,
$false,
inference(connection,[status(thm),parent(t122:1)],[t122:1,t120:2]) ).
cnf(t124,plain,
r0(e),
inference(extension,[status(thm),parent(t120:3)],[axiom_13]) ).
cnf(t125,plain,
$false,
inference(connection,[status(thm),parent(t124:1)],[t124:1,t120:3]) ).
cnf(t126,plain,
k0(e),
inference(extension,[status(thm),parent(t116:3)],[axiom_28]) ).
cnf(t127,plain,
$false,
inference(connection,[status(thm),parent(t126:1)],[t126:1,t116:3]) ).
cnf(l63,lemma,
k0(e),
inference(lemma,[status(cth),parent(t116:3),below(t106:3)],[t116:3]) ).
cnf(t128,plain,
m0(b,b,e),
inference(extension,[status(thm),parent(t116:4)],[axiom_31]) ).
cnf(t129,plain,
$false,
inference(connection,[status(thm),parent(t128:1)],[t128:1,t116:4]) ).
cnf(t130,plain,
( ~ q0(e,d)
| ~ s0(d)
| ~ q1(d,d,d)
| r1(e) ),
inference(extension,[status(thm),parent(t116:5)],[rule_124]) ).
cnf(t131,plain,
$false,
inference(connection,[status(thm),parent(t130:1)],[t130:1,t116:5]) ).
cnf(t132,plain,
( ~ k0(e)
| ~ s0(d)
| q1(d,d,d) ),
inference(extension,[status(thm),parent(t130:2)],[rule_117]) ).
cnf(t133,plain,
$false,
inference(connection,[status(thm),parent(t132:1)],[t132:1,t130:2]) ).
cnf(t134,plain,
s0(d),
inference(extension,[status(thm),parent(t132:2)],[axiom_1]) ).
cnf(t135,plain,
$false,
inference(connection,[status(thm),parent(t134:1)],[t134:1,t132:2]) ).
cnf(t136,plain,
k0(e),
inference(lemma_extension,[status(thm),parent(t132:3)],[l63:1]) ).
cnf(t137,plain,
$false,
inference(connection,[status(thm),parent(t136:1)],[t136:1,t132:3]) ).
cnf(t138,plain,
s0(d),
inference(extension,[status(thm),parent(t130:3)],[axiom_1]) ).
cnf(t139,plain,
$false,
inference(connection,[status(thm),parent(t138:1)],[t138:1,t130:3]) ).
cnf(t140,plain,
q0(e,d),
inference(extension,[status(thm),parent(t130:4)],[axiom_17]) ).
cnf(t141,plain,
$false,
inference(connection,[status(thm),parent(t140:1)],[t140:1,t130:4]) ).
cnf(t142,plain,
( ~ r1(e)
| ~ p2(e,e,e)
| k3(e,e,e) ),
inference(extension,[status(thm),parent(t106:4)],[rule_213]) ).
cnf(t143,plain,
$false,
inference(connection,[status(thm),parent(t142:1)],[t142:1,t106:4]) ).
cnf(t144,plain,
( ~ m1(e,e,e)
| p2(e,e,e) ),
inference(extension,[status(thm),parent(t142:2)],[rule_176]) ).
cnf(t145,plain,
$false,
inference(connection,[status(thm),parent(t144:1)],[t144:1,t142:2]) ).
cnf(t146,plain,
( ~ r0(e)
| m1(e,e,e) ),
inference(extension,[status(thm),parent(t144:2)],[rule_030]) ).
cnf(t147,plain,
$false,
inference(connection,[status(thm),parent(t146:1)],[t146:1,t144:2]) ).
cnf(t148,plain,
r0(e),
inference(extension,[status(thm),parent(t146:2)],[axiom_13]) ).
cnf(t149,plain,
$false,
inference(connection,[status(thm),parent(t148:1)],[t148:1,t146:2]) ).
cnf(t150,plain,
( ~ q0(e,d)
| ~ s0(d)
| ~ q1(d,d,d)
| r1(e) ),
inference(extension,[status(thm),parent(t142:3)],[rule_124]) ).
cnf(t151,plain,
$false,
inference(connection,[status(thm),parent(t150:1)],[t150:1,t142:3]) ).
cnf(t152,plain,
( ~ k0(e)
| ~ s0(d)
| q1(d,d,d) ),
inference(extension,[status(thm),parent(t150:2)],[rule_117]) ).
cnf(t153,plain,
$false,
inference(connection,[status(thm),parent(t152:1)],[t152:1,t150:2]) ).
cnf(t154,plain,
s0(d),
inference(extension,[status(thm),parent(t152:2)],[axiom_1]) ).
cnf(t155,plain,
$false,
inference(connection,[status(thm),parent(t154:1)],[t154:1,t152:2]) ).
cnf(t156,plain,
k0(e),
inference(extension,[status(thm),parent(t152:3)],[axiom_28]) ).
cnf(t157,plain,
$false,
inference(connection,[status(thm),parent(t156:1)],[t156:1,t152:3]) ).
cnf(t158,plain,
s0(d),
inference(extension,[status(thm),parent(t150:3)],[axiom_1]) ).
cnf(t159,plain,
$false,
inference(connection,[status(thm),parent(t158:1)],[t158:1,t150:3]) ).
cnf(t160,plain,
q0(e,d),
inference(extension,[status(thm),parent(t150:4)],[axiom_17]) ).
cnf(t161,plain,
$false,
inference(connection,[status(thm),parent(t160:1)],[t160:1,t150:4]) ).
cnf(t162,plain,
( ~ p3(e,e,e)
| l4(e) ),
inference(extension,[status(thm),parent(t104:3)],[rule_277]) ).
cnf(t163,plain,
$false,
inference(connection,[status(thm),parent(t162:1)],[t162:1,t104:3]) ).
cnf(t164,plain,
( ~ q0(b,e)
| ~ k2(b,b)
| p3(e,e,e) ),
inference(extension,[status(thm),parent(t162:2)],[rule_252]) ).
cnf(t165,plain,
$false,
inference(connection,[status(thm),parent(t164:1)],[t164:1,t162:2]) ).
cnf(t166,plain,
( ~ q1(b,b,b)
| k2(b,b) ),
inference(extension,[status(thm),parent(t164:2)],[rule_129]) ).
cnf(t167,plain,
$false,
inference(connection,[status(thm),parent(t166:1)],[t166:1,t164:2]) ).
cnf(t168,plain,
( ~ r0(b)
| q1(b,b,b) ),
inference(extension,[status(thm),parent(t166:2)],[rule_120]) ).
cnf(t169,plain,
$false,
inference(connection,[status(thm),parent(t168:1)],[t168:1,t166:2]) ).
cnf(t170,plain,
r0(b),
inference(extension,[status(thm),parent(t168:2)],[axiom_9]) ).
cnf(t171,plain,
$false,
inference(connection,[status(thm),parent(t170:1)],[t170:1,t168:2]) ).
cnf(t172,plain,
q0(b,e),
inference(extension,[status(thm),parent(t164:3)],[axiom_21]) ).
cnf(t173,plain,
$false,
inference(connection,[status(thm),parent(t172:1)],[t172:1,t164:3]) ).
cnf(t174,plain,
( ~ q0(d,d)
| ~ s0(d)
| ~ q1(d,d,d)
| r1(d) ),
inference(extension,[status(thm),parent(t104:4)],[rule_124]) ).
cnf(t175,plain,
$false,
inference(connection,[status(thm),parent(t174:1)],[t174:1,t104:4]) ).
cnf(t176,plain,
( ~ m0(d,d,d)
| q1(d,d,d) ),
inference(extension,[status(thm),parent(t174:2)],[rule_122]) ).
cnf(t177,plain,
$false,
inference(connection,[status(thm),parent(t176:1)],[t176:1,t174:2]) ).
cnf(t178,plain,
m0(d,d,d),
inference(extension,[status(thm),parent(t176:2)],[axiom_19]) ).
cnf(t179,plain,
$false,
inference(connection,[status(thm),parent(t178:1)],[t178:1,t176:2]) ).
cnf(t180,plain,
s0(d),
inference(extension,[status(thm),parent(t174:3)],[axiom_1]) ).
cnf(t181,plain,
$false,
inference(connection,[status(thm),parent(t180:1)],[t180:1,t174:3]) ).
cnf(t182,plain,
q0(d,d),
inference(extension,[status(thm),parent(t174:4)],[axiom_25]) ).
cnf(t183,plain,
$false,
inference(connection,[status(thm),parent(t182:1)],[t182:1,t174:4]) ).
cnf(t184,plain,
( ~ m0(b,d,d)
| ~ l4(b)
| l4(d) ),
inference(extension,[status(thm),parent(t102:3)],[rule_278]) ).
cnf(t185,plain,
$false,
inference(connection,[status(thm),parent(t184:1)],[t184:1,t102:3]) ).
cnf(t186,plain,
( ~ p3(b,b,b)
| l4(b) ),
inference(extension,[status(thm),parent(t184:2)],[rule_277]) ).
cnf(t187,plain,
$false,
inference(connection,[status(thm),parent(t186:1)],[t186:1,t184:2]) ).
cnf(t188,plain,
( ~ q0(a,b)
| ~ k2(b,b)
| p3(b,b,b) ),
inference(extension,[status(thm),parent(t186:2)],[rule_252]) ).
cnf(t189,plain,
$false,
inference(connection,[status(thm),parent(t188:1)],[t188:1,t186:2]) ).
cnf(t190,plain,
( ~ q1(b,b,b)
| k2(b,b) ),
inference(extension,[status(thm),parent(t188:2)],[rule_129]) ).
cnf(t191,plain,
$false,
inference(connection,[status(thm),parent(t190:1)],[t190:1,t188:2]) ).
cnf(t192,plain,
( ~ r0(b)
| q1(b,b,b) ),
inference(extension,[status(thm),parent(t190:2)],[rule_120]) ).
cnf(t193,plain,
$false,
inference(connection,[status(thm),parent(t192:1)],[t192:1,t190:2]) ).
cnf(t194,plain,
r0(b),
inference(extension,[status(thm),parent(t192:2)],[axiom_9]) ).
cnf(t195,plain,
$false,
inference(connection,[status(thm),parent(t194:1)],[t194:1,t192:2]) ).
cnf(t196,plain,
q0(a,b),
inference(extension,[status(thm),parent(t188:3)],[axiom_36]) ).
cnf(t197,plain,
$false,
inference(connection,[status(thm),parent(t196:1)],[t196:1,t188:3]) ).
cnf(t198,plain,
m0(b,d,d),
inference(extension,[status(thm),parent(t184:3)],[axiom_19]) ).
cnf(t199,plain,
$false,
inference(connection,[status(thm),parent(t198:1)],[t198:1,t184:3]) ).
cnf(t200,plain,
( ~ q0(a,d)
| ~ s0(d)
| ~ q1(d,d,d)
| r1(a) ),
inference(extension,[status(thm),parent(t102:4)],[rule_124]) ).
cnf(t201,plain,
$false,
inference(connection,[status(thm),parent(t200:1)],[t200:1,t102:4]) ).
cnf(t202,plain,
( ~ m0(d,d,d)
| q1(d,d,d) ),
inference(extension,[status(thm),parent(t200:2)],[rule_122]) ).
cnf(t203,plain,
$false,
inference(connection,[status(thm),parent(t202:1)],[t202:1,t200:2]) ).
cnf(t204,plain,
m0(d,d,d),
inference(extension,[status(thm),parent(t202:2)],[axiom_19]) ).
cnf(t205,plain,
$false,
inference(connection,[status(thm),parent(t204:1)],[t204:1,t202:2]) ).
cnf(t206,plain,
s0(d),
inference(extension,[status(thm),parent(t200:3)],[axiom_1]) ).
cnf(t207,plain,
$false,
inference(connection,[status(thm),parent(t206:1)],[t206:1,t200:3]) ).
cnf(t208,plain,
q0(a,d),
inference(extension,[status(thm),parent(t200:4)],[axiom_17]) ).
cnf(t209,plain,
$false,
inference(connection,[status(thm),parent(t208:1)],[t208:1,t200:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN159-1 : 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/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 : n002.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
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 06:29:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 38.35/38.69 % SZS status Unsatisfiable for theBenchmark
% 38.35/38.69 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------