%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN110-1 : 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 : 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 09:09:31 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.52s
% Output : Proof 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of clauses : 34 ( 22 unt; 0 nHn; 33 RR)
% Number of literals : 54 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 18 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_19,axiom,
m0(X,d,Y),
file('SYN001-0.ax',axiom_19) ).
cnf(axiom_33,axiom,
q0(d,c),
file('SYN001-0.ax',axiom_33) ).
cnf(axiom_35,axiom,
m0(d,e,c),
file('SYN001-0.ax',axiom_35) ).
cnf(axiom_37,axiom,
n0(b,a),
file('SYN001-0.ax',axiom_37) ).
cnf(rule_001,axiom,
( ~ n0(J,I)
| k1(I) ),
file('SYN001-0.ax',rule_001) ).
cnf(rule_024,axiom,
( ~ m1(G,c,G)
| ~ q0(F,G)
| ~ m0(a,H,a)
| m1(F,a,G) ),
file('SYN001-0.ax',rule_024) ).
cnf(rule_025,axiom,
( ~ m0(D,E,C)
| m1(C,C,C) ),
file('SYN001-0.ax',rule_025) ).
cnf(rule_122,axiom,
( ~ m0(G,H,G)
| q1(G,G,G) ),
file('SYN001-0.ax',rule_122) ).
cnf(rule_127,axiom,
( ~ k2(F,D)
| ~ k1(F)
| ~ m1(E,D,C)
| k2(C,D) ),
file('SYN001-0.ax',rule_127) ).
cnf(rule_129,axiom,
( ~ q1(A,J,J)
| k2(J,J) ),
file('SYN001-0.ax',rule_129) ).
cnf(prove_this,negated_conjecture,
~ k2(c,a),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ k2(c,a),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ m1(d,a,c)
| ~ k1(a)
| ~ k2(a,a)
| k2(c,a) ),
inference(extension,[status(thm),parent(t1:1)],[rule_127]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ q1(a,a,a)
| k2(a,a) ),
inference(extension,[status(thm),parent(t2:2)],[rule_129]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ m0(a,d,a)
| q1(a,a,a) ),
inference(extension,[status(thm),parent(t4:2)],[rule_122]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
m0(a,d,a),
inference(extension,[status(thm),parent(t6:2)],[axiom_19]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ n0(b,a)
| k1(a) ),
inference(extension,[status(thm),parent(t2:3)],[rule_001]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
cnf(t12,plain,
n0(b,a),
inference(extension,[status(thm),parent(t10:2)],[axiom_37]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ m0(a,d,a)
| ~ q0(d,c)
| ~ m1(c,c,c)
| m1(d,a,c) ),
inference(extension,[status(thm),parent(t2:4)],[rule_024]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:4]) ).
cnf(t16,plain,
( ~ m0(d,e,c)
| m1(c,c,c) ),
inference(extension,[status(thm),parent(t14:2)],[rule_025]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
m0(d,e,c),
inference(extension,[status(thm),parent(t16:2)],[axiom_35]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
q0(d,c),
inference(extension,[status(thm),parent(t14:3)],[axiom_33]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t14:3]) ).
cnf(t22,plain,
m0(a,d,a),
inference(extension,[status(thm),parent(t14:4)],[axiom_19]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t14:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN110-1 : 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
% 0.12/0.37 % Computer : n005.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 06:25:48 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.24/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.52 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------