%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN640-1 : 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 : n026.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 3.86s 0.93s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 19 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 31 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 27 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_5,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_5) ).
cnf(c_5,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_5]) ).
fof(not_p20_7,axiom,
~ p20(f17(c25),f17(c22)),
file('theBenchmark.p',not_p20_7) ).
cnf(c_7,plain,
~ p20(f17(c25),f17(c22)),
inference(clausify,[status(thm)],[not_p20_7]) ).
fof(p2_9,axiom,
p2(f12(f11(c25)),f7(c24)),
file('theBenchmark.p',p2_9) ).
cnf(c_9,plain,
p2(f12(f11(c25)),f7(c24)),
inference(clausify,[status(thm)],[p2_9]) ).
fof(p2_10,axiom,
p2(f12(f11(c22)),f7(c24)),
file('theBenchmark.p',p2_10) ).
cnf(c_10,plain,
p2(f12(f11(c22)),f7(c24)),
inference(clausify,[status(thm)],[p2_10]) ).
fof(p19_12,axiom,
p19(f13(f11(c23)),f13(f11(c22))),
file('theBenchmark.p',p19_12) ).
cnf(c_12,plain,
p19(f13(f11(c23)),f13(f11(c22))),
inference(clausify,[status(thm)],[p19_12]) ).
fof(p2_26,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(VAR_2,VAR_1)
| ~ p2(VAR_2,VAR_0)
| p2(VAR_0,VAR_1) ),
file('theBenchmark.p',p2_26) ).
cnf(c_26,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_26]) ).
fof(p19_28,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p19(VAR_2,VAR_3)
| ~ p2(VAR_3,VAR_1)
| ~ p2(VAR_2,VAR_0)
| p19(VAR_0,VAR_1) ),
file('theBenchmark.p',p19_28) ).
cnf(c_28,plain,
( ~ p19(C,D)
| ~ p2(D,B)
| ~ p2(C,A)
| p19(A,B) ),
inference(clausify,[status(thm)],[p19_28]) ).
fof(p2_33,axiom,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('theBenchmark.p',p2_33) ).
cnf(c_33,plain,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(clausify,[status(thm)],[p2_33]) ).
fof(p2_34,axiom,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('theBenchmark.p',p2_34) ).
cnf(c_34,plain,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(clausify,[status(thm)],[p2_34]) ).
fof(p20_35,axiom,
! [VAR_0,VAR_1] :
( ~ p19(f13(f11(VAR_0)),f13(f11(VAR_1)))
| ~ p2(f12(f11(VAR_0)),f7(c24))
| ~ p2(f12(f11(VAR_1)),f7(c24))
| p20(f17(VAR_0),f17(VAR_1)) ),
file('theBenchmark.p',p20_35) ).
cnf(c_35,plain,
( ~ p19(f13(f11(A)),f13(f11(B)))
| ~ p2(f12(f11(A)),f7(c24))
| ~ p2(f12(f11(B)),f7(c24))
| p20(f17(A),f17(B)) ),
inference(clausify,[status(thm)],[p20_35]) ).
cnf(c_5250,plain,
( ~ p19(f13(f11(c23)),B)
| ~ p2(B,A)
| p19(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),A) ),
inference(resolve,[status(thm)],[c_28,c_33]) ).
cnf(c_5251,plain,
( ~ p19(f13(f11(c23)),A)
| p19(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),A) ),
inference(resolve,[status(thm)],[c_5250,c_5]) ).
cnf(c_84,plain,
p19(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22))),
inference(resolve,[status(thm)],[c_5251,c_12]) ).
cnf(c_5252,plain,
( ~ p2(f13(f11(c25)),A)
| p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),A) ),
inference(resolve,[status(thm)],[c_26,c_34]) ).
cnf(c_98,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(resolve,[status(thm)],[c_5252,c_5]) ).
cnf(c_5253,plain,
( ~ p19(f13(f11(c25)),f13(f11(c22)))
| ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f12(f11(c22)),f7(c24)) ),
inference(resolve,[status(thm)],[c_35,c_7]) ).
cnf(c_5254,plain,
( ~ p19(f13(f11(c25)),f13(f11(c22)))
| ~ p2(f12(f11(c25)),f7(c24)) ),
inference(resolve,[status(thm)],[c_5253,c_10]) ).
cnf(c_106,plain,
~ p19(f13(f11(c25)),f13(f11(c22))),
inference(resolve,[status(thm)],[c_5254,c_9]) ).
cnf(c_5255,plain,
( ~ p19(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),B)
| ~ p2(B,A)
| p19(f13(f11(c25)),A) ),
inference(resolve,[status(thm)],[c_28,c_98]) ).
cnf(c_5256,plain,
( ~ p19(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),A)
| p19(f13(f11(c25)),A) ),
inference(resolve,[status(thm)],[c_5255,c_5]) ).
cnf(c_5248,plain,
p19(f13(f11(c25)),f13(f11(c22))),
inference(resolve,[status(thm)],[c_5256,c_84]) ).
cnf(c_5249,plain,
$false,
inference(resolve,[status(thm)],[c_5248,c_106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN640-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.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 18:20:41 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 1662864 was started by sandbox2 on n026,
% 0.09/0.37 % Sat Sep 26 18:20:41 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 3.86/0.93
% 3.86/0.93 % SZS status Unsatisfiable for theBenchmark
% 3.86/0.93
% 3.86/0.93 % Proof 1 at 0.39 (+ 0.15) seconds.
% 3.86/0.93 % Length of proof is 15.
% 3.86/0.93 % Level of proof is 3.
% 3.86/0.93 % Maximum clause weight is 79.000.
% 3.86/0.93 % Given clauses 253.
% 3.86/0.93
% 3.86/0.93 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------