%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN620-1 : 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 09:38:58 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 23 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 5 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p11_5,axiom,
! [VAR_0] : p11(VAR_0,VAR_0),
file('theBenchmark.p',p11_5) ).
cnf(c_5,plain,
p11(A,A),
inference(clausify,[status(thm)],[p11_5]) ).
fof(p11_18,axiom,
! [VAR_0,VAR_1] :
( ~ p10(VAR_0,VAR_1)
| p11(f12(VAR_0),f12(VAR_1)) ),
file('theBenchmark.p',p11_18) ).
cnf(c_18,plain,
( ~ p10(A,B)
| p11(f12(A),f12(B)) ),
inference(clausify,[status(thm)],[p11_18]) ).
fof(p11_23,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p11(VAR_2,VAR_1)
| ~ p11(VAR_2,VAR_0)
| p11(VAR_0,VAR_1) ),
file('theBenchmark.p',p11_23) ).
cnf(c_23,plain,
( ~ p11(C,B)
| ~ p11(C,A)
| p11(A,B) ),
inference(clausify,[status(thm)],[p11_23]) ).
fof(p10_24,axiom,
! [VAR_0] : p10(f13(f6(c22),VAR_0),f13(f6(c24),f16(c26,VAR_0))),
file('theBenchmark.p',p10_24) ).
cnf(c_24,plain,
p10(f13(f6(c22),A),f13(f6(c24),f16(c26,A))),
inference(clausify,[status(thm)],[p10_24]) ).
fof(p20_28,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p11(VAR_3,VAR_0)
| ~ p20(VAR_3,VAR_2)
| ~ p11(VAR_2,VAR_1)
| p20(VAR_0,VAR_1) ),
file('theBenchmark.p',p20_28) ).
cnf(c_28,plain,
( ~ p11(D,A)
| ~ p20(D,C)
| ~ p11(C,B)
| p20(A,B) ),
inference(clausify,[status(thm)],[p20_28]) ).
fof(p20_32,axiom,
! [VAR_0] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),VAR_0))),
file('theBenchmark.p',p20_32) ).
cnf(c_32,plain,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),A))),
inference(clausify,[status(thm)],[p20_32]) ).
fof(not_p20_33,axiom,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
file('theBenchmark.p',not_p20_33) ).
cnf(c_33,plain,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
inference(clausify,[status(thm)],[not_p20_33]) ).
cnf(c_52,plain,
p11(f12(f13(f6(c22),A)),f12(f13(f6(c24),f16(c26,A)))),
inference(resolve,[status(thm)],[c_24,c_18]) ).
cnf(c_72,plain,
( ~ p11(B,f12(f13(f6(c22),f14(f15(f7(c25))))))
| ~ p20(B,A)
| ~ p11(A,f12(f13(f6(c22),c27))) ),
inference(resolve,[status(thm)],[c_28,c_33]) ).
cnf(c_73,plain,
( ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))
| ~ p11(f12(f13(f6(c24),A)),f12(f13(f6(c22),c27))) ),
inference(resolve,[status(thm)],[c_72,c_32]) ).
cnf(c_62,plain,
~ p11(f12(f13(f6(c24),A)),f12(f13(f6(c22),c27))),
inference(resolve,[status(thm)],[c_73,c_5]) ).
cnf(c_74,plain,
( ~ p11(A,f12(f13(f6(c22),c27)))
| ~ p11(A,f12(f13(f6(c24),B))) ),
inference(resolve,[status(thm)],[c_23,c_62]) ).
cnf(c_70,plain,
~ p11(f12(f13(f6(c22),c27)),f12(f13(f6(c24),A))),
inference(resolve,[status(thm)],[c_74,c_5]) ).
cnf(c_71,plain,
$false,
inference(resolve,[status(thm)],[c_70,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN620-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:18:24 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 3492138 was started by sandbox on n003,
% 0.09/0.37 % Sat Sep 26 18:18:24 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 0.09/0.39
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.39
% 0.09/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.39 % Length of proof is 11.
% 0.09/0.39 % Level of proof is 3.
% 0.09/0.39 % Maximum clause weight is 14.000.
% 0.09/0.39 % Given clauses 40.
% 0.09/0.39
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------