%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN642-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 09:39:01 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 19 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 25 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3_is_p15_1,axiom,
p15(f3(c19)),
file('theBenchmark.p',f3_is_p15_1) ).
cnf(c_1,plain,
p15(f3(c19)),
inference(clausify,[status(thm)],[f3_is_p15_1]) ).
fof(f3_is_p15_2,axiom,
p15(f3(c18)),
file('theBenchmark.p',f3_is_p15_2) ).
cnf(c_2,plain,
p15(f3(c18)),
inference(clausify,[status(thm)],[f3_is_p15_2]) ).
fof(p6_4,axiom,
! [VAR_0] : p6(VAR_0,VAR_0),
file('theBenchmark.p',p6_4) ).
cnf(c_4,plain,
p6(A,A),
inference(clausify,[status(thm)],[p6_4]) ).
fof(p6_9,axiom,
p6(f8(f3(c19)),f8(c19)),
file('theBenchmark.p',p6_9) ).
cnf(c_9,plain,
p6(f8(f3(c19)),f8(c19)),
inference(clausify,[status(thm)],[p6_9]) ).
fof(p6_14,axiom,
p6(f8(f3(c18)),f8(c18)),
file('theBenchmark.p',p6_14) ).
cnf(c_14,plain,
p6(f8(f3(c18)),f8(c18)),
inference(clausify,[status(thm)],[p6_14]) ).
fof(p6_23,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p6(VAR_2,VAR_1)
| ~ p6(VAR_2,VAR_0)
| p6(VAR_0,VAR_1) ),
file('theBenchmark.p',p6_23) ).
cnf(c_23,plain,
( ~ p6(C,B)
| ~ p6(C,A)
| p6(A,B) ),
inference(clausify,[status(thm)],[p6_23]) ).
fof(not_p6_28,axiom,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
file('theBenchmark.p',not_p6_28) ).
cnf(c_28,plain,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
inference(clausify,[status(thm)],[not_p6_28]) ).
fof(p6_33,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p6(VAR_0,VAR_2)
| ~ p6(VAR_1,VAR_3)
| p6(f9(VAR_0,VAR_1),f9(VAR_2,VAR_3)) ),
file('theBenchmark.p',p6_33) ).
cnf(c_33,plain,
( ~ p6(A,C)
| ~ p6(B,D)
| p6(f9(A,B),f9(C,D)) ),
inference(clausify,[status(thm)],[p6_33]) ).
fof(p6_36,axiom,
! [VAR_0,VAR_1] :
( ~ p15(VAR_1)
| ~ p15(VAR_0)
| p6(f8(f10(VAR_0,VAR_1)),f9(f8(VAR_0),f8(VAR_1))) ),
file('theBenchmark.p',p6_36) ).
cnf(c_36,plain,
( ~ p15(B)
| ~ p15(A)
| p6(f8(f10(A,B)),f9(f8(A),f8(B))) ),
inference(clausify,[status(thm)],[p6_36]) ).
cnf(c_67,plain,
( ~ p6(B,A)
| p6(A,B) ),
inference(resolve,[status(thm)],[c_23,c_4]) ).
cnf(c_81,plain,
( ~ p6(A,C)
| p6(f9(A,B),f9(C,B)) ),
inference(resolve,[status(thm)],[c_33,c_4]) ).
cnf(c_86,plain,
( ~ p6(B,C)
| p6(f9(A,B),f9(A,C)) ),
inference(resolve,[status(thm)],[c_33,c_4]) ).
cnf(c_96,plain,
( ~ p15(A)
| p6(f8(f10(f3(c19),A)),f9(f8(f3(c19)),f8(A))) ),
inference(resolve,[status(thm)],[c_36,c_1]) ).
cnf(c_154,plain,
p6(f9(f8(f3(c19)),A),f9(f8(c19),A)),
inference(resolve,[status(thm)],[c_81,c_9]) ).
cnf(c_155,plain,
p6(f9(A,f8(f3(c18))),f9(A,f8(c18))),
inference(resolve,[status(thm)],[c_86,c_14]) ).
cnf(c_582,plain,
( ~ p6(A,f9(f8(c19),f8(c18)))
| ~ p6(A,f8(f10(f3(c19),f3(c18)))) ),
inference(resolve,[status(thm)],[c_23,c_28]) ).
cnf(c_417,plain,
~ p6(f9(f8(f3(c19)),f8(c18)),f8(f10(f3(c19),f3(c18)))),
inference(resolve,[status(thm)],[c_582,c_154]) ).
cnf(c_490,plain,
p6(f8(f10(f3(c19),f3(c18))),f9(f8(f3(c19)),f8(f3(c18)))),
inference(resolve,[status(thm)],[c_96,c_2]) ).
cnf(c_583,plain,
( ~ p6(A,f8(f10(f3(c19),f3(c18))))
| ~ p6(A,f9(f8(f3(c19)),f8(c18))) ),
inference(resolve,[status(thm)],[c_23,c_417]) ).
cnf(c_492,plain,
~ p6(f9(f8(f3(c19)),f8(f3(c18))),f8(f10(f3(c19),f3(c18)))),
inference(resolve,[status(thm)],[c_583,c_155]) ).
cnf(c_584,plain,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(f3(c19)),f8(f3(c18)))),
inference(resolve,[status(thm)],[c_67,c_492]) ).
cnf(c_581,plain,
$false,
inference(resolve,[status(thm)],[c_490,c_584]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN642-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n003.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 18:19:39 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/0.35 % Process 3494077 was started by sandbox on n003,
% 0.07/0.35 % Sat Sep 26 18:19:39 2026
% 0.07/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.07/0.36
% 0.07/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.41
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.41
% 0.12/0.41 % Proof 1 at 0.04 (+ 0.01) seconds.
% 0.12/0.41 % Length of proof is 19.
% 0.12/0.41 % Level of proof is 5.
% 0.12/0.41 % Maximum clause weight is 34.000.
% 0.12/0.41 % Given clauses 150.
% 0.12/0.41
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------