%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN156-1 : 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 : 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 09:09:37 AM UTC 2026
% Result : Unsatisfiable 31.26s 36.57s
% Output : Proof 31.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 33
% Syntax : Number of clauses : 113 ( 69 unt; 0 nHn; 111 RR)
% Number of literals : 187 ( 0 equ; 76 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 46 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d),
file('SYN001-0.ax',axiom_1) ).
cnf(axiom_13,axiom,
r0(e),
file('SYN001-0.ax',axiom_13) ).
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_27,axiom,
m0(e,b,c),
file('SYN001-0.ax',axiom_27) ).
cnf(axiom_30,axiom,
n0(e,e),
file('SYN001-0.ax',axiom_30) ).
cnf(axiom_34,axiom,
n0(c,d),
file('SYN001-0.ax',axiom_34) ).
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_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_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_035,axiom,
( ~ l0(J)
| ~ r0(I)
| m1(I,J,I) ),
file('SYN001-0.ax',rule_035) ).
cnf(rule_088,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('SYN001-0.ax',rule_088) ).
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_146,axiom,
( ~ p2(C,D,C)
| ~ l1(E,F)
| ~ p1(C,E,F)
| p2(C,D,D) ),
file('SYN001-0.ax',rule_146) ).
cnf(rule_176,axiom,
( ~ m1(E,D,E)
| p2(D,E,D) ),
file('SYN001-0.ax',rule_176) ).
cnf(rule_186,axiom,
( ~ l1(H,G)
| q2(G,G,H) ),
file('SYN001-0.ax',rule_186) ).
cnf(rule_188,axiom,
( ~ l0(G)
| ~ r1(G)
| r2(G) ),
file('SYN001-0.ax',rule_188) ).
cnf(rule_206,axiom,
( ~ p2(D,C,C)
| k3(C,D,C) ),
file('SYN001-0.ax',rule_206) ).
cnf(rule_235,axiom,
( ~ k3(B,C,B)
| ~ r2(C)
| m3(B,B,C) ),
file('SYN001-0.ax',rule_235) ).
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_251,axiom,
( ~ p2(A,B,D)
| ~ m3(B,C,D)
| p3(A,B,B) ),
file('SYN001-0.ax',rule_251) ).
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_281,axiom,
( ~ n4(J,J)
| ~ p3(J,A,A)
| n4(J,A) ),
file('SYN001-0.ax',rule_281) ).
cnf(rule_284,axiom,
( ~ m3(H,H,H)
| ~ k4(I)
| n4(H,H) ),
file('SYN001-0.ax',rule_284) ).
cnf(prove_this,negated_conjecture,
~ n4(a,e),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ n4(a,e),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ p3(a,e,e)
| ~ n4(a,a)
| n4(a,e) ),
inference(extension,[status(thm),parent(t1:1)],[rule_281]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ k4(c)
| ~ m3(a,a,a)
| n4(a,a) ),
inference(extension,[status(thm),parent(t2:2)],[rule_284]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p2(a,a,a)
| m3(a,a,a) ),
inference(extension,[status(thm),parent(t4:2)],[rule_238]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ m1(a,a,a)
| p2(a,a,a) ),
inference(extension,[status(thm),parent(t6:2)],[rule_176]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ m0(b,a,a)
| m1(a,a,a) ),
inference(extension,[status(thm),parent(t8:2)],[rule_025]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
m0(b,a,a),
inference(extension,[status(thm),parent(t10:2)],[axiom_38]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e)
| k4(c) ),
inference(extension,[status(thm),parent(t4:3)],[rule_274]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t4:3]) ).
cnf(t16,plain,
( ~ p2(e,e,e)
| n3(e) ),
inference(extension,[status(thm),parent(t14:2)],[rule_240]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
( ~ m1(e,e,e)
| p2(e,e,e) ),
inference(extension,[status(thm),parent(t16:2)],[rule_176]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( ~ r0(e)
| m1(e,e,e) ),
inference(extension,[status(thm),parent(t18:2)],[rule_030]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
r0(e),
inference(extension,[status(thm),parent(t20:2)],[axiom_13]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( ~ q2(e,e,b)
| ~ n0(e,e)
| q3(e,b) ),
inference(extension,[status(thm),parent(t14:3)],[rule_255]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t14:3]) ).
cnf(t26,plain,
n0(e,e),
inference(extension,[status(thm),parent(t24:2)],[axiom_30]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
( ~ l1(b,e)
| q2(e,e,b) ),
inference(extension,[status(thm),parent(t24:3)],[rule_186]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t24:3]) ).
cnf(t30,plain,
( ~ p0(c,b)
| ~ r0(e)
| ~ m0(e,b,c)
| l1(b,e) ),
inference(extension,[status(thm),parent(t28:2)],[rule_003]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
m0(e,b,c),
inference(extension,[status(thm),parent(t30:2)],[axiom_27]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
r0(e),
inference(extension,[status(thm),parent(t30:3)],[axiom_13]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
cnf(t36,plain,
p0(c,b),
inference(extension,[status(thm),parent(t30:4)],[axiom_18]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t30:4]) ).
cnf(t38,plain,
n0(c,d),
inference(extension,[status(thm),parent(t14:4)],[axiom_34]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t14:4]) ).
cnf(t40,plain,
( ~ m3(e,e,a)
| ~ p2(a,e,a)
| p3(a,e,e) ),
inference(extension,[status(thm),parent(t2:3)],[rule_251]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t2:3]) ).
cnf(t42,plain,
( ~ m1(e,a,e)
| p2(a,e,a) ),
inference(extension,[status(thm),parent(t40:2)],[rule_176]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
( ~ r0(e)
| ~ l0(a)
| m1(e,a,e) ),
inference(extension,[status(thm),parent(t42:2)],[rule_035]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
l0(a),
inference(extension,[status(thm),parent(t44:2)],[axiom_20]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
r0(e),
inference(extension,[status(thm),parent(t44:3)],[axiom_13]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t44:3]) ).
cnf(l21,lemma,
p2(a,e,a),
inference(lemma,[status(cth),parent(t40:2),below(t2:3)],[t40:2]) ).
cnf(t50,plain,
( ~ r2(a)
| ~ k3(e,a,e)
| m3(e,e,a) ),
inference(extension,[status(thm),parent(t40:3)],[rule_235]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t40:3]) ).
cnf(t52,plain,
( ~ p2(a,e,e)
| k3(e,a,e) ),
inference(extension,[status(thm),parent(t50:2)],[rule_206]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
( ~ p1(a,a,a)
| ~ l1(a,a)
| ~ p2(a,e,a)
| p2(a,e,e) ),
inference(extension,[status(thm),parent(t52:2)],[rule_146]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
p2(a,e,a),
inference(lemma_extension,[status(thm),parent(t54:2)],[l21:1]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t54:3)],[rule_002]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t54:3]) ).
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,
( ~ l0(a)
| p1(a,a,a) ),
inference(extension,[status(thm),parent(t54:4)],[rule_088]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t54:4]) ).
cnf(t64,plain,
l0(a),
inference(extension,[status(thm),parent(t62:2)],[axiom_20]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
cnf(t66,plain,
( ~ r1(a)
| ~ l0(a)
| r2(a) ),
inference(extension,[status(thm),parent(t50:3)],[rule_188]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t50:3]) ).
cnf(t68,plain,
l0(a),
inference(extension,[status(thm),parent(t66:2)],[axiom_20]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
( ~ q0(a,d)
| ~ s0(d)
| ~ q1(d,d,d)
| r1(a) ),
inference(extension,[status(thm),parent(t66:3)],[rule_124]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t66:3]) ).
cnf(t72,plain,
( ~ m0(d,d,d)
| q1(d,d,d) ),
inference(extension,[status(thm),parent(t70:2)],[rule_122]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t70:2]) ).
cnf(t74,plain,
m0(d,d,d),
inference(extension,[status(thm),parent(t72:2)],[axiom_19]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t72:2]) ).
cnf(t76,plain,
s0(d),
inference(extension,[status(thm),parent(t70:3)],[axiom_1]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t70:3]) ).
cnf(t78,plain,
q0(a,d),
inference(extension,[status(thm),parent(t70:4)],[axiom_17]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t70:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN156-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.35 % Computer : n005.cluster.edu
% 0.09/5.35 % Model : x86_64 x86_64
% 0.09/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.35 % Memory : 8046.5625MB
% 0.09/5.35 % OS : Linux 6.8.0-71-generic
% 0.09/5.35 % CPULimit : 300
% 0.09/5.35 % WCLimit : 300
% 0.09/5.35 % DateTime : Sun Sep 20 06:26:09 UTC 2026
% 0.09/5.35 % CPUTime :
% 31.26/36.57 % SZS status Unsatisfiable for theBenchmark
% 31.26/36.57 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------