%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN109-1 : 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 : n018.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 0.47s
% Output : Proof 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 19 unt; 0 nHn; 28 RR)
% Number of literals : 45 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
r0(b),
file('SYN001-0.ax',axiom_9) ).
cnf(axiom_19,axiom,
m0(X,d,Y),
file('SYN001-0.ax',axiom_19) ).
cnf(axiom_24,axiom,
l0(c),
file('SYN001-0.ax',axiom_24) ).
cnf(axiom_26,axiom,
n0(d,c),
file('SYN001-0.ax',axiom_26) ).
cnf(rule_001,axiom,
( ~ n0(J,I)
| k1(I) ),
file('SYN001-0.ax',rule_001) ).
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_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(b,c),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ k2(b,c),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ m1(b,c,b)
| ~ k1(c)
| ~ k2(c,c)
| k2(b,c) ),
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(c,c,c)
| k2(c,c) ),
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(c,d,c)
| q1(c,c,c) ),
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(c,d,c),
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(d,c)
| k1(c) ),
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(d,c),
inference(extension,[status(thm),parent(t10:2)],[axiom_26]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ r0(b)
| ~ l0(c)
| m1(b,c,b) ),
inference(extension,[status(thm),parent(t2:4)],[rule_035]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:4]) ).
cnf(t16,plain,
l0(c),
inference(extension,[status(thm),parent(t14:2)],[axiom_24]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
r0(b),
inference(extension,[status(thm),parent(t14:3)],[axiom_9]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN109-1 : 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
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 06:27:11 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.24/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.47 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------