%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN626-1 : 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 : n008.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 09:38:59 AM UTC 2026
% Result : Unsatisfiable 0.16s 5.41s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 43 ( 25 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p7_2,axiom,
! [VAR_0] : p7(VAR_0,VAR_0),
file('theBenchmark.p',p7_2) ).
cnf(c_2,plain,
p7(A,A),
inference(clausify,[status(thm)],[p7_2]) ).
fof(p6_3,axiom,
! [VAR_0] : p6(VAR_0,VAR_0),
file('theBenchmark.p',p6_3) ).
cnf(c_3,plain,
p6(A,A),
inference(clausify,[status(thm)],[p6_3]) ).
fof(p16_8,axiom,
! [VAR_0,VAR_1] :
( ~ p15(VAR_0,VAR_1)
| p16(VAR_0,VAR_1) ),
file('theBenchmark.p',p16_8) ).
cnf(c_8,plain,
( ~ p15(A,B)
| p16(A,B) ),
inference(clausify,[status(thm)],[p16_8]) ).
fof(p15_9,axiom,
p15(c22,f8(f5(c20),f9(c23,c24))),
file('theBenchmark.p',p15_9) ).
cnf(c_9,plain,
p15(c22,f8(f5(c20),f9(c23,c24))),
inference(clausify,[status(thm)],[p15_9]) ).
fof(p7_15,axiom,
! [VAR_0] :
( ~ p16(c22,VAR_0)
| p7(f12(f13(VAR_0)),VAR_0) ),
file('theBenchmark.p',p7_15) ).
cnf(c_15,plain,
( ~ p16(c22,A)
| p7(f12(f13(A)),A) ),
inference(clausify,[status(thm)],[p7_15]) ).
fof(p7_17,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p7(VAR_2,VAR_1)
| ~ p7(VAR_2,VAR_0)
| p7(VAR_0,VAR_1) ),
file('theBenchmark.p',p7_17) ).
cnf(c_17,plain,
( ~ p7(C,B)
| ~ p7(C,A)
| p7(A,B) ),
inference(clausify,[status(thm)],[p7_17]) ).
fof(not_p15_24,axiom,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
file('theBenchmark.p',not_p15_24) ).
cnf(c_24,plain,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
inference(clausify,[status(thm)],[not_p15_24]) ).
fof(p15_31,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p15(VAR_2,VAR_3)
| ~ p7(VAR_3,VAR_1)
| ~ p6(VAR_2,VAR_0)
| p15(VAR_0,VAR_1) ),
file('theBenchmark.p',p15_31) ).
cnf(c_31,plain,
( ~ p15(C,D)
| ~ p7(D,B)
| ~ p6(C,A)
| p15(A,B) ),
inference(clausify,[status(thm)],[p15_31]) ).
cnf(c_38,plain,
p16(c22,f8(f5(c20),f9(c23,c24))),
inference(resolve,[status(thm)],[c_9,c_8]) ).
cnf(c_60,plain,
( ~ p15(A,B)
| ~ p7(B,f12(f13(f8(f5(c20),f9(c23,c24)))))
| ~ p6(A,c22) ),
inference(resolve,[status(thm)],[c_31,c_24]) ).
cnf(c_61,plain,
( ~ p15(c22,A)
| ~ p7(A,f12(f13(f8(f5(c20),f9(c23,c24))))) ),
inference(resolve,[status(thm)],[c_60,c_3]) ).
cnf(c_50,plain,
~ p7(f8(f5(c20),f9(c23,c24)),f12(f13(f8(f5(c20),f9(c23,c24))))),
inference(resolve,[status(thm)],[c_61,c_9]) ).
cnf(c_58,plain,
p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24))),
inference(resolve,[status(thm)],[c_38,c_15]) ).
cnf(c_62,plain,
( ~ p7(A,f12(f13(f8(f5(c20),f9(c23,c24)))))
| ~ p7(A,f8(f5(c20),f9(c23,c24))) ),
inference(resolve,[status(thm)],[c_17,c_50]) ).
cnf(c_63,plain,
~ p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24))),
inference(resolve,[status(thm)],[c_62,c_2]) ).
cnf(c_59,plain,
$false,
inference(resolve,[status(thm)],[c_58,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN626-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.39 % Computer : n008.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sat Sep 26 18:18:00 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/5.39 % Process 67728 was started by sandbox2 on n008,
% 0.11/5.39 % Sat Sep 26 18:18:00 2026
% 0.11/5.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/5.40
% 0.11/5.40 % From the command line: assign(max_seconds, 300).
% 0.16/5.41
% 0.16/5.41 % SZS status Unsatisfiable for theBenchmark
% 0.16/5.41
% 0.16/5.41 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.16/5.41 % Length of proof is 12.
% 0.16/5.41 % Level of proof is 3.
% 0.16/5.41 % Maximum clause weight is 15.000.
% 0.16/5.41 % Given clauses 39.
% 0.16/5.41
% 0.16/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------