%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN624-1 : 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 : 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 09:38:59 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.61s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p10_1,axiom,
! [VAR_0] : p10(VAR_0,VAR_0),
file('theBenchmark.p',p10_1) ).
cnf(c_1,plain,
p10(A,A),
inference(clausify,[status(thm)],[p10_1]) ).
fof(p5_2,axiom,
! [VAR_0] : p5(VAR_0,VAR_0),
file('theBenchmark.p',p5_2) ).
cnf(c_2,plain,
p5(A,A),
inference(clausify,[status(thm)],[p5_2]) ).
fof(p10_11,axiom,
! [VAR_0] : p10(f16(VAR_0,f14(f15(f7(c25)))),VAR_0),
file('theBenchmark.p',p10_11) ).
cnf(c_11,plain,
p10(f16(A,f14(f15(f7(c25)))),A),
inference(clausify,[status(thm)],[p10_11]) ).
fof(p10_21,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p10(VAR_2,VAR_1)
| ~ p10(VAR_2,VAR_0)
| p10(VAR_0,VAR_1) ),
file('theBenchmark.p',p10_21) ).
cnf(c_21,plain,
( ~ p10(C,B)
| ~ p10(C,A)
| p10(A,B) ),
inference(clausify,[status(thm)],[p10_21]) ).
fof(p10_26,axiom,
! [VAR_0] : p10(f13(f6(c22),VAR_0),f13(f6(c24),f16(c26,VAR_0))),
file('theBenchmark.p',p10_26) ).
cnf(c_26,plain,
p10(f13(f6(c22),A),f13(f6(c24),f16(c26,A))),
inference(clausify,[status(thm)],[p10_26]) ).
fof(not_p10_28,axiom,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
file('theBenchmark.p',not_p10_28) ).
cnf(c_28,plain,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
inference(clausify,[status(thm)],[not_p10_28]) ).
fof(p10_32,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p5(VAR_0,VAR_2)
| ~ p10(VAR_1,VAR_3)
| p10(f13(VAR_0,VAR_1),f13(VAR_2,VAR_3)) ),
file('theBenchmark.p',p10_32) ).
cnf(c_32,plain,
( ~ p5(A,C)
| ~ p10(B,D)
| p10(f13(A,B),f13(C,D)) ),
inference(clausify,[status(thm)],[p10_32]) ).
cnf(c_47,plain,
( ~ p10(B,A)
| p10(A,B) ),
inference(resolve,[status(thm)],[c_21,c_1]) ).
cnf(c_66,plain,
( ~ p10(B,C)
| p10(f13(A,B),f13(A,C)) ),
inference(resolve,[status(thm)],[c_32,c_2]) ).
cnf(c_97,plain,
p10(f13(f6(c24),f16(c26,A)),f13(f6(c22),A)),
inference(resolve,[status(thm)],[c_47,c_26]) ).
cnf(c_137,plain,
p10(f13(A,f16(B,f14(f15(f7(c25))))),f13(A,B)),
inference(resolve,[status(thm)],[c_66,c_11]) ).
cnf(c_266,plain,
( ~ p10(A,f13(f6(c22),f14(f15(f7(c25)))))
| ~ p10(A,f13(f6(c24),c26)) ),
inference(resolve,[status(thm)],[c_21,c_28]) ).
cnf(c_267,plain,
~ p10(f13(f6(c24),f16(c26,f14(f15(f7(c25))))),f13(f6(c24),c26)),
inference(resolve,[status(thm)],[c_266,c_97]) ).
cnf(c_265,plain,
$false,
inference(resolve,[status(thm)],[c_137,c_267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN624-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n018.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sat Sep 26 18:19:23 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.57 % Process 1093605 was started by sandbox on n018,
% 0.09/0.57 % Sat Sep 26 18:19:23 2026
% 0.09/0.57 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.57
% 0.09/0.57 % From the command line: assign(max_seconds, 300).
% 0.09/0.61
% 0.09/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.61
% 0.09/0.61 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.09/0.61 % Length of proof is 12.
% 0.09/0.61 % Level of proof is 3.
% 0.09/0.61 % Maximum clause weight is 24.000.
% 0.09/0.61 % Given clauses 117.
% 0.09/0.61
% 0.09/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------