%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n013.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 09:10:35 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 30 ( 22 unt; 2 nHn; 28 RR)
% Number of literals : 46 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X2,X2),
file('theBenchmark.p',p2_1) ).
cnf(not_p4_2,negated_conjecture,
~ p4(X15,X15),
file('theBenchmark.p',not_p4_2) ).
cnf(not_p2_3,negated_conjecture,
~ p2(c6,c7),
file('theBenchmark.p',not_p2_3) ).
cnf(p2_4,negated_conjecture,
p2(f3(c5,c6),f3(c5,c7)),
file('theBenchmark.p',p2_4) ).
cnf(p2_5,negated_conjecture,
( p4(X1,X0)
| p4(X0,X1)
| p2(X0,X1) ),
file('theBenchmark.p',p2_5) ).
cnf(p4_7,negated_conjecture,
( ~ p4(X13,X14)
| p4(f3(c5,X13),f3(c5,X14)) ),
file('theBenchmark.p',p4_7) ).
cnf(p4_8,negated_conjecture,
( ~ p2(X11,X9)
| ~ p4(X11,X12)
| ~ p2(X12,X10)
| p4(X9,X10) ),
file('theBenchmark.p',p4_8) ).
cnf(t1,plain,
~ p2(c6,c7),
inference(start,[status(thm),parent(0:0)],[not_p2_3]) ).
cnf(t2,plain,
( p4(c6,c7)
| p4(c7,c6)
| p2(c6,c7) ),
inference(extension,[status(thm),parent(t1:1)],[p2_5]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( p4(f3(c5,c7),f3(c5,c6))
| ~ p4(c7,c6) ),
inference(extension,[status(thm),parent(t2:2)],[p4_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p2(f3(c5,c6),f3(c5,c7))
| ~ p2(f3(c5,c7),f3(c5,c7))
| p4(f3(c5,c7),f3(c5,c7))
| ~ p4(f3(c5,c7),f3(c5,c6)) ),
inference(extension,[status(thm),parent(t4:2)],[p4_8]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
~ p4(f3(c5,c7),f3(c5,c7)),
inference(extension,[status(thm),parent(t6:2)],[not_p4_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p2(f3(c5,c7),f3(c5,c7)),
inference(extension,[status(thm),parent(t6:3)],[p2_1]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
p2(f3(c5,c6),f3(c5,c7)),
inference(extension,[status(thm),parent(t6:4)],[p2_4]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).
cnf(t14,plain,
( p4(f3(c5,c6),f3(c5,c7))
| ~ p4(c6,c7) ),
inference(extension,[status(thm),parent(t2:3)],[p4_7]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:3]) ).
cnf(t16,plain,
( ~ p2(f3(c5,c7),f3(c5,c7))
| ~ p2(f3(c5,c6),f3(c5,c7))
| p4(f3(c5,c7),f3(c5,c7))
| ~ p4(f3(c5,c6),f3(c5,c7)) ),
inference(extension,[status(thm),parent(t14:2)],[p4_8]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
~ p4(f3(c5,c7),f3(c5,c7)),
inference(extension,[status(thm),parent(t16:2)],[not_p4_2]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
p2(f3(c5,c6),f3(c5,c7)),
inference(extension,[status(thm),parent(t16:3)],[p2_4]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
cnf(t22,plain,
p2(f3(c5,c7),f3(c5,c7)),
inference(extension,[status(thm),parent(t16:4)],[p2_1]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t16:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN 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
% 0.08/0.35 % Computer : n013.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 07:03:05 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------