%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN641-1 : 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 : n017.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 0.16s 0.51s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 20 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 28 ~; 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 : 32 ( 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_12,axiom,
p6(f7(f3(c18)),f7(c18)),
file('theBenchmark.p',p6_12) ).
cnf(c_12,plain,
p6(f7(f3(c18)),f7(c18)),
inference(clausify,[status(thm)],[p6_12]) ).
fof(p6_13,axiom,
p6(f7(f3(c19)),f7(c19)),
file('theBenchmark.p',p6_13) ).
cnf(c_13,plain,
p6(f7(f3(c19)),f7(c19)),
inference(clausify,[status(thm)],[p6_13]) ).
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(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
file('theBenchmark.p',not_p6_28) ).
cnf(c_28,plain,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(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_38,axiom,
! [VAR_0,VAR_1] :
( ~ p15(VAR_1)
| ~ p15(VAR_0)
| p6(f7(f10(VAR_0,VAR_1)),f9(f7(VAR_0),f7(VAR_1))) ),
file('theBenchmark.p',p6_38) ).
cnf(c_38,plain,
( ~ p15(B)
| ~ p15(A)
| p6(f7(f10(A,B)),f9(f7(A),f7(B))) ),
inference(clausify,[status(thm)],[p6_38]) ).
cnf(c_65,plain,
( ~ p6(B,A)
| p6(A,B) ),
inference(resolve,[status(thm)],[c_23,c_4]) ).
cnf(c_79,plain,
( ~ p6(A,C)
| p6(f9(A,B),f9(C,B)) ),
inference(resolve,[status(thm)],[c_33,c_4]) ).
cnf(c_84,plain,
( ~ p6(B,C)
| p6(f9(A,B),f9(A,C)) ),
inference(resolve,[status(thm)],[c_33,c_4]) ).
cnf(c_134,plain,
p6(f9(f7(f3(c19)),A),f9(f7(c19),A)),
inference(resolve,[status(thm)],[c_79,c_13]) ).
cnf(c_139,plain,
p6(f9(A,f7(f3(c18))),f9(A,f7(c18))),
inference(resolve,[status(thm)],[c_84,c_12]) ).
cnf(c_493,plain,
( ~ p6(A,f9(f7(c19),f7(c18)))
| ~ p6(A,f7(f10(f3(c19),f3(c18)))) ),
inference(resolve,[status(thm)],[c_23,c_28]) ).
cnf(c_331,plain,
~ p6(f9(f7(f3(c19)),f7(c18)),f7(f10(f3(c19),f3(c18)))),
inference(resolve,[status(thm)],[c_493,c_134]) ).
cnf(c_404,plain,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(f3(c19)),f7(c18))),
inference(resolve,[status(thm)],[c_65,c_331]) ).
cnf(c_494,plain,
( ~ p6(A,f9(f7(f3(c19)),f7(c18)))
| ~ p6(A,f7(f10(f3(c19),f3(c18)))) ),
inference(resolve,[status(thm)],[c_23,c_404]) ).
cnf(c_420,plain,
~ p6(f9(f7(f3(c19)),f7(f3(c18))),f7(f10(f3(c19),f3(c18)))),
inference(resolve,[status(thm)],[c_494,c_139]) ).
cnf(c_491,plain,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(f3(c19)),f7(f3(c18)))),
inference(resolve,[status(thm)],[c_65,c_420]) ).
cnf(c_495,plain,
( ~ p15(f3(c18))
| ~ p15(f3(c19)) ),
inference(resolve,[status(thm)],[c_38,c_491]) ).
cnf(c_496,plain,
~ p15(f3(c19)),
inference(resolve,[status(thm)],[c_495,c_2]) ).
cnf(c_492,plain,
$false,
inference(resolve,[status(thm)],[c_1,c_496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN641-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n017.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 18:13:19 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.44 % Process 1352556 was started by sandbox on n017,
% 0.16/0.44 % Sat Sep 26 18:13:19 2026
% 0.16/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.45
% 0.16/0.45 % From the command line: assign(max_seconds, 300).
% 0.16/0.51
% 0.16/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.51
% 0.16/0.51 % Proof 1 at 0.04 (+ 0.02) seconds.
% 0.16/0.51 % Length of proof is 19.
% 0.16/0.51 % Level of proof is 7.
% 0.16/0.51 % Maximum clause weight is 34.000.
% 0.16/0.51 % Given clauses 133.
% 0.16/0.51
% 0.16/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------