%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN718-1 : 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 : n012.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 09:39:11 AM UTC 2026
% Result : Unsatisfiable 0.33s 26.03s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 18 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 23 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p25_23,axiom,
! [VAR_0] : p25(VAR_0,VAR_0),
file('theBenchmark.p',p25_23) ).
cnf(c_23,plain,
p25(A,A),
inference(clausify,[status(thm)],[p25_23]) ).
fof(p20_26,axiom,
! [VAR_0] : p20(VAR_0,VAR_0),
file('theBenchmark.p',p20_26) ).
cnf(c_26,plain,
p20(A,A),
inference(clausify,[status(thm)],[p20_26]) ).
fof(p3_36,axiom,
p3(c84,f10(c72,c73)),
file('theBenchmark.p',p3_36) ).
cnf(c_36,plain,
p3(c84,f10(c72,c73)),
inference(clausify,[status(thm)],[p3_36]) ).
fof(p57_72,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p57(f26(VAR_0,VAR_1),VAR_2)
| p57(f26(f30(c85,VAR_0),VAR_1),VAR_2) ),
file('theBenchmark.p',p57_72) ).
cnf(c_72,plain,
( ~ p57(f26(A,B),C)
| p57(f26(f30(c85,A),B),C) ),
inference(clausify,[status(thm)],[p57_72]) ).
fof(p57_76,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p21(VAR_3,VAR_1)
| ~ p57(VAR_2,VAR_3)
| ~ p25(VAR_2,VAR_0)
| p57(VAR_0,VAR_1) ),
file('theBenchmark.p',p57_76) ).
cnf(c_76,plain,
( ~ p21(D,B)
| ~ p57(C,D)
| ~ p25(C,A)
| p57(A,B) ),
inference(clausify,[status(thm)],[p57_76]) ).
fof(p57_80,axiom,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
file('theBenchmark.p',p57_80) ).
cnf(c_80,plain,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
inference(clausify,[status(thm)],[p57_80]) ).
fof(p57_81,axiom,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
file('theBenchmark.p',p57_81) ).
cnf(c_81,plain,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
inference(clausify,[status(thm)],[p57_81]) ).
fof(p21_101,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_1,VAR_3)
| ~ p20(VAR_0,VAR_2)
| p21(f22(VAR_0,VAR_1),f22(VAR_2,VAR_3)) ),
file('theBenchmark.p',p21_101) ).
cnf(c_101,plain,
( ~ p3(B,D)
| ~ p20(A,C)
| p21(f22(A,B),f22(C,D)) ),
inference(clausify,[status(thm)],[p21_101]) ).
fof(not_p57_105,axiom,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
file('theBenchmark.p',not_p57_105) ).
cnf(c_105,plain,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
inference(clausify,[status(thm)],[not_p57_105]) ).
fof(p57_107,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p57(f26(f30(c85,VAR_0),VAR_3),VAR_2)
| ~ p57(f26(f30(c85,VAR_0),VAR_1),VAR_3)
| p57(f26(f30(c85,VAR_0),VAR_1),VAR_2) ),
file('theBenchmark.p',p57_107) ).
cnf(c_107,plain,
( ~ p57(f26(f30(c85,A),D),C)
| ~ p57(f26(f30(c85,A),B),D)
| p57(f26(f30(c85,A),B),C) ),
inference(clausify,[status(thm)],[p57_107]) ).
cnf(c_160,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
inference(resolve,[status(thm)],[c_80,c_72]) ).
cnf(c_161,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
inference(resolve,[status(thm)],[c_81,c_72]) ).
cnf(c_181,plain,
( ~ p3(B,C)
| p21(f22(A,B),f22(A,C)) ),
inference(resolve,[status(thm)],[c_101,c_26]) ).
cnf(c_229,plain,
( ~ p57(f26(f30(c85,c70),A),f22(f24(c71,c81),c82))
| p57(f26(f30(c85,c70),A),f22(f24(c71,c83),c84)) ),
inference(resolve,[status(thm)],[c_160,c_107]) ).
cnf(c_329,plain,
p21(f22(A,c84),f22(A,f10(c72,c73))),
inference(resolve,[status(thm)],[c_181,c_36]) ).
cnf(c_335,plain,
( ~ p57(C,f22(B,c84))
| ~ p25(C,A)
| p57(A,f22(B,f10(c72,c73))) ),
inference(resolve,[status(thm)],[c_329,c_76]) ).
cnf(c_535,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84)),
inference(resolve,[status(thm)],[c_229,c_161]) ).
cnf(c_542,plain,
( ~ p57(A,f22(B,c84))
| p57(A,f22(B,f10(c72,c73))) ),
inference(resolve,[status(thm)],[c_335,c_23]) ).
cnf(c_610,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
inference(resolve,[status(thm)],[c_535,c_542]) ).
cnf(c_609,plain,
$false,
inference(resolve,[status(thm)],[c_105,c_610]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN718-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/25.97 % Computer : n012.cluster.edu
% 0.06/25.97 % Model : x86_64 x86_64
% 0.06/25.97 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/25.97 % Memory : 8046.5625MB
% 0.06/25.97 % OS : Linux 6.8.0-71-generic
% 0.06/25.97 % CPULimit : 300
% 0.06/25.97 % WCLimit : 300
% 0.06/25.97 % DateTime : Sat Sep 26 18:21:46 UTC 2026
% 0.06/25.97 % CPUTime :
% 0.06/25.97 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.06/25.97 % Process 1238284 was started by sandbox2 on n012,
% 0.06/25.97 % Sat Sep 26 18:21:46 2026
% 0.06/25.97 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.06/25.98
% 0.06/25.98 % From the command line: assign(max_seconds, 300).
% 0.33/26.03
% 0.33/26.03 % SZS status Unsatisfiable for theBenchmark
% 0.33/26.03
% 0.33/26.03 % Proof 1 at 0.03 (+ 0.02) seconds.
% 0.33/26.03 % Length of proof is 19.
% 0.33/26.03 % Level of proof is 5.
% 0.33/26.03 % Maximum clause weight is 22.000.
% 0.33/26.03 % Given clauses 343.
% 0.33/26.03
% 0.33/26.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------