%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN192-1 : 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 09:09:43 AM UTC 2026
% Result : Unsatisfiable 1.14s 1.66s
% Output : Proof 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 21
% Syntax : Number of clauses : 78 ( 53 unt; 0 nHn; 75 RR)
% Number of literals : 127 ( 0 equ; 51 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 31 ( 14 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_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_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_24,axiom,
l0(c),
file('SYN001-0.ax',axiom_24) ).
cnf(axiom_36,axiom,
q0(a,b),
file('SYN001-0.ax',axiom_36) ).
cnf(axiom_38,axiom,
m0(b,a,a),
file('SYN001-0.ax',axiom_38) ).
cnf(rule_035,axiom,
( ~ l0(J)
| ~ r0(I)
| m1(I,J,I) ),
file('SYN001-0.ax',rule_035) ).
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_133,axiom,
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
file('SYN001-0.ax',rule_133) ).
cnf(rule_176,axiom,
( ~ m1(E,D,E)
| p2(D,E,D) ),
file('SYN001-0.ax',rule_176) ).
cnf(rule_188,axiom,
( ~ l0(G)
| ~ r1(G)
| r2(G) ),
file('SYN001-0.ax',rule_188) ).
cnf(rule_240,axiom,
( ~ p2(E,F,D)
| n3(D) ),
file('SYN001-0.ax',rule_240) ).
cnf(rule_258,axiom,
( ~ l2(A,A)
| ~ s1(J)
| ~ r2(I)
| q3(I,I) ),
file('SYN001-0.ax',rule_258) ).
cnf(rule_298,axiom,
( ~ p0(J,G)
| ~ q3(H,I)
| ~ n3(G)
| r4(G) ),
file('SYN001-0.ax',rule_298) ).
cnf(prove_this,negated_conjecture,
~ r4(a),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ r4(a),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ n3(a)
| ~ q3(c,c)
| ~ p0(b,a)
| r4(a) ),
inference(extension,[status(thm),parent(t1:1)],[rule_298]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
p0(b,a),
inference(extension,[status(thm),parent(t2:2)],[axiom_14]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ r2(c)
| ~ s1(a)
| ~ l2(a,a)
| q3(c,c) ),
inference(extension,[status(thm),parent(t2:3)],[rule_258]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ p0(b,b)
| ~ s1(a)
| ~ m0(b,a,a)
| l2(a,a) ),
inference(extension,[status(thm),parent(t6:2)],[rule_133]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
m0(b,a,a),
inference(extension,[status(thm),parent(t8:2)],[axiom_38]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ q0(a,b)
| ~ s1(b)
| s1(a) ),
inference(extension,[status(thm),parent(t8:3)],[rule_126]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
( ~ p0(b,b)
| s1(b) ),
inference(extension,[status(thm),parent(t12:2)],[rule_125]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
p0(b,b),
inference(extension,[status(thm),parent(t14:2)],[axiom_14]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
q0(a,b),
inference(extension,[status(thm),parent(t12:3)],[axiom_36]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t12:3]) ).
cnf(t20,plain,
p0(b,b),
inference(extension,[status(thm),parent(t8:4)],[axiom_14]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t8:4]) ).
cnf(t22,plain,
( ~ q0(a,b)
| ~ s1(a)
| s1(a) ),
inference(extension,[status(thm),parent(t6:3)],[rule_126]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t6:3]) ).
cnf(t24,plain,
( ~ q0(a,b)
| ~ s1(b)
| s1(a) ),
inference(extension,[status(thm),parent(t22:2)],[rule_126]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
( ~ p0(b,b)
| s1(b) ),
inference(extension,[status(thm),parent(t24:2)],[rule_125]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
p0(b,b),
inference(extension,[status(thm),parent(t26:2)],[axiom_14]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
q0(a,b),
inference(extension,[status(thm),parent(t24:3)],[axiom_36]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t24:3]) ).
cnf(t32,plain,
q0(a,b),
inference(extension,[status(thm),parent(t22:3)],[axiom_36]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t22:3]) ).
cnf(t34,plain,
( ~ r1(c)
| ~ l0(c)
| r2(c) ),
inference(extension,[status(thm),parent(t6:4)],[rule_188]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t6:4]) ).
cnf(t36,plain,
l0(c),
inference(extension,[status(thm),parent(t34:2)],[axiom_24]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
( ~ q0(c,d)
| ~ s0(d)
| ~ q1(d,d,d)
| r1(c) ),
inference(extension,[status(thm),parent(t34:3)],[rule_124]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t34:3]) ).
cnf(t40,plain,
( ~ m0(d,d,d)
| q1(d,d,d) ),
inference(extension,[status(thm),parent(t38:2)],[rule_122]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
m0(d,d,d),
inference(extension,[status(thm),parent(t40:2)],[axiom_19]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
s0(d),
inference(extension,[status(thm),parent(t38:3)],[axiom_1]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t38:3]) ).
cnf(t46,plain,
q0(c,d),
inference(extension,[status(thm),parent(t38:4)],[axiom_17]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t38:4]) ).
cnf(t48,plain,
( ~ p2(a,e,a)
| n3(a) ),
inference(extension,[status(thm),parent(t2:4)],[rule_240]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t2:4]) ).
cnf(t50,plain,
( ~ m1(e,a,e)
| p2(a,e,a) ),
inference(extension,[status(thm),parent(t48:2)],[rule_176]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
( ~ r0(e)
| ~ l0(a)
| m1(e,a,e) ),
inference(extension,[status(thm),parent(t50:2)],[rule_035]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
l0(a),
inference(extension,[status(thm),parent(t52:2)],[axiom_20]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
r0(e),
inference(extension,[status(thm),parent(t52:3)],[axiom_13]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t52:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN192-1 : 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
% 0.10/0.57 % Computer : n008.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sun Sep 20 06:27:40 UTC 2026
% 0.10/0.57 % CPUTime :
% 1.14/1.66 % SZS status Unsatisfiable for theBenchmark
% 1.14/1.66 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------