%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN656-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/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 : Sun Sep 27 09:39:03 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 14 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 29 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p4_5,axiom,
! [VAR_0] : p4(VAR_0,VAR_0),
file('theBenchmark.p',p4_5) ).
cnf(c_5,plain,
p4(A,A),
inference(clausify,[status(thm)],[p4_5]) ).
fof(p3_6,axiom,
! [VAR_0] : p3(VAR_0,VAR_0),
file('theBenchmark.p',p3_6) ).
cnf(c_6,plain,
p3(A,A),
inference(clausify,[status(thm)],[p3_6]) ).
fof(p3_22,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p3(VAR_2,VAR_1)
| ~ p3(VAR_2,VAR_0)
| p3(VAR_0,VAR_1) ),
file('theBenchmark.p',p3_22) ).
cnf(c_22,plain,
( ~ p3(C,B)
| ~ p3(C,A)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_22]) ).
fof(p25_31,axiom,
! [VAR_0] : p25(f5(c29,f13(c31,f15(c32,VAR_0))),f13(c31,VAR_0)),
file('theBenchmark.p',p25_31) ).
cnf(c_31,plain,
p25(f5(c29,f13(c31,f15(c32,A))),f13(c31,A)),
inference(clausify,[status(thm)],[p25_31]) ).
fof(p25_32,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p25(f5(VAR_0,VAR_1),VAR_2)
| p25(f5(f7(c28,VAR_0),VAR_1),VAR_2) ),
file('theBenchmark.p',p25_32) ).
cnf(c_32,plain,
( ~ p25(f5(A,B),C)
| p25(f5(f7(c28,A),B),C) ),
inference(clausify,[status(thm)],[p25_32]) ).
fof(p25_35,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p25(VAR_3,VAR_2)
| ~ p4(VAR_3,VAR_0)
| ~ p3(VAR_2,VAR_1)
| p25(VAR_0,VAR_1) ),
file('theBenchmark.p',p25_35) ).
cnf(c_34,plain,
( ~ p25(D,C)
| ~ p4(D,A)
| ~ p3(C,B)
| p25(A,B) ),
inference(clausify,[status(thm)],[p25_35]) ).
fof(not_p25_45,axiom,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
file('theBenchmark.p',not_p25_45) ).
cnf(c_44,plain,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(clausify,[status(thm)],[not_p25_45]) ).
fof(p25_46,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p25(f5(f7(c28,VAR_0),VAR_3),VAR_2)
| ~ p25(f5(VAR_0,VAR_1),VAR_3)
| p25(f5(f7(c28,VAR_0),VAR_1),VAR_2) ),
file('theBenchmark.p',p25_46) ).
cnf(c_45,plain,
( ~ p25(f5(f7(c28,A),D),C)
| ~ p25(f5(A,B),D)
| p25(f5(f7(c28,A),B),C) ),
inference(clausify,[status(thm)],[p25_46]) ).
fof(p3_49,axiom,
! [VAR_0] :
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),VAR_0))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),VAR_0))) ),
file('theBenchmark.p',p3_49) ).
cnf(c_48,plain,
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),A))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),A))) ),
inference(clausify,[status(thm)],[p3_49]) ).
cnf(c_54,plain,
( ~ p3(B,A)
| p3(A,B) ),
inference(resolve,[status(thm)],[c_22,c_6]) ).
cnf(c_62,plain,
p25(f5(f7(c28,c29),f13(c31,f15(c32,A))),f13(c31,A)),
inference(resolve,[status(thm)],[c_32,c_31]) ).
cnf(c_115,plain,
( ~ p25(f5(f7(c28,c29),A),f13(c31,c34))
| ~ p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),A) ),
inference(resolve,[status(thm)],[c_45,c_44]) ).
cnf(c_80,plain,
~ p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),c35))),f13(c31,c34)),
inference(resolve,[status(thm)],[c_115,c_31]) ).
cnf(c_116,plain,
( ~ p25(B,A)
| ~ p4(B,f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))))
| ~ p3(A,f13(c31,c34)) ),
inference(resolve,[status(thm)],[c_34,c_44]) ).
cnf(c_117,plain,
( ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),A)
| ~ p3(A,f13(c31,c34)) ),
inference(resolve,[status(thm)],[c_116,c_5]) ).
cnf(c_105,plain,
~ p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
inference(resolve,[status(thm)],[c_117,c_62]) ).
cnf(c_111,plain,
~ p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
inference(resolve,[status(thm)],[c_54,c_105]) ).
cnf(c_118,plain,
p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),c35))),f13(c31,c34)),
inference(resolve,[status(thm)],[c_111,c_48]) ).
cnf(c_114,plain,
$false,
inference(resolve,[status(thm)],[c_80,c_118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN656-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n018.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 18:20:51 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.44 % Process 1096342 was started by sandbox2 on n018,
% 0.19/0.44 % Sat Sep 26 18:20:51 2026
% 0.19/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.19/0.44
% 0.19/0.44 % From the command line: assign(max_seconds, 300).
% 0.19/0.47
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47
% 0.19/0.47 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.19/0.47 % Length of proof is 15.
% 0.19/0.47 % Level of proof is 4.
% 0.19/0.47 % Maximum clause weight is 26.000.
% 0.19/0.47 % Given clauses 80.
% 0.19/0.47
% 0.19/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------