%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN555-1 : 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 15.43s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 16 unt; 0 nHn; 19 RR)
% Number of literals : 31 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_2,negated_conjecture,
p4(X12,X12),
file('theBenchmark.p',p4_2) ).
cnf(p4_4,negated_conjecture,
p4(f5(c7,c10,c9),c9),
file('theBenchmark.p',p4_4) ).
cnf(not_p4_5,negated_conjecture,
~ p4(f5(c7,c10,c8),c8),
file('theBenchmark.p',not_p4_5) ).
cnf(p4_6,negated_conjecture,
p4(f5(c7,X24,c8),f5(c7,X24,c9)),
file('theBenchmark.p',p4_6) ).
cnf(p4_8,negated_conjecture,
( ~ p4(X12,X14)
| ~ p4(X12,X13)
| p4(X13,X14) ),
file('theBenchmark.p',p4_8) ).
cnf(p4_12,negated_conjecture,
( ~ p4(f5(c7,f6(X21,X23,X22),X23),f5(c7,f6(X21,X23,X22),X22))
| ~ p4(f5(c7,X21,X23),X23)
| p4(f5(c7,X21,X22),X22) ),
file('theBenchmark.p',p4_12) ).
cnf(t1,plain,
~ p4(f5(c7,c10,c8),c8),
inference(start,[status(thm),parent(0:0)],[not_p4_5]) ).
cnf(t2,plain,
( ~ p4(f5(c7,c10,c9),c9)
| ~ p4(f5(c7,f6(c10,c9,c8),c9),f5(c7,f6(c10,c9,c8),c8))
| p4(f5(c7,c10,c8),c8) ),
inference(extension,[status(thm),parent(t1:1)],[p4_12]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p4(f5(c7,f6(c10,c9,c8),c8),f5(c7,f6(c10,c9,c8),c9))
| ~ p4(f5(c7,f6(c10,c9,c8),c8),f5(c7,f6(c10,c9,c8),c8))
| p4(f5(c7,f6(c10,c9,c8),c9),f5(c7,f6(c10,c9,c8),c8)) ),
inference(extension,[status(thm),parent(t2:2)],[p4_8]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
p4(f5(c7,f6(c10,c9,c8),c8),f5(c7,f6(c10,c9,c8),c8)),
inference(extension,[status(thm),parent(t4:2)],[p4_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p4(f5(c7,f6(c10,c9,c8),c8),f5(c7,f6(c10,c9,c8),c9)),
inference(extension,[status(thm),parent(t4:3)],[p4_6]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
( ~ p4(f5(c7,c10,c9),f5(c7,c10,c9))
| ~ p4(f5(c7,c10,c9),c9)
| p4(f5(c7,c10,c9),c9) ),
inference(extension,[status(thm),parent(t2:3)],[p4_8]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
cnf(t12,plain,
p4(f5(c7,c10,c9),c9),
inference(extension,[status(thm),parent(t10:2)],[p4_4]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p4(f5(c7,c10,c9),f5(c7,c10,c9)),
inference(extension,[status(thm),parent(t10:3)],[p4_2]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.37 % Computer : n013.cluster.edu
% 0.09/15.37 % Model : x86_64 x86_64
% 0.09/15.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.37 % Memory : 8046.5625MB
% 0.09/15.37 % OS : Linux 6.8.0-71-generic
% 0.09/15.37 % CPULimit : 300
% 0.09/15.37 % WCLimit : 300
% 0.09/15.37 % DateTime : Sun Sep 20 07:03:51 UTC 2026
% 0.09/15.37 % CPUTime :
% 0.13/15.43 % SZS status Unsatisfiable for theBenchmark
% 0.13/15.43 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------