%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN653-1 : 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 : n007.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 09:39:02 AM UTC 2026
% Result : Unsatisfiable 16.22s 2.57s
% Output : CNFRefutation 16.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 25 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-8 aty)
% Number of variables : 88 ( 18 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p7_4,axiom,
! [VAR_0] : p7(VAR_0,VAR_0),
file('theBenchmark.p',p7_4) ).
cnf(c_4,plain,
p7(A,A),
inference(clausify,[status(thm)],[p7_4]) ).
fof(p12_9,axiom,
! [VAR_0] : p12(VAR_0,VAR_0),
file('theBenchmark.p',p12_9) ).
cnf(c_9,plain,
p12(A,A),
inference(clausify,[status(thm)],[p12_9]) ).
fof(not_p12_10,axiom,
~ p12(f13(c22),f13(c23)),
file('theBenchmark.p',not_p12_10) ).
cnf(c_10,plain,
~ p12(f13(c22),f13(c23)),
inference(clausify,[status(thm)],[not_p12_10]) ).
fof(p12_13,axiom,
! [VAR_0,VAR_1] :
( ~ p7(VAR_0,VAR_1)
| p12(f13(VAR_0),f13(VAR_1)) ),
file('theBenchmark.p',p12_13) ).
cnf(c_13,plain,
( ~ p7(A,B)
| p12(f13(A),f13(B)) ),
inference(clausify,[status(thm)],[p12_13]) ).
fof(p7_19,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p7(VAR_2,VAR_1)
| ~ p7(VAR_2,VAR_0)
| p7(VAR_0,VAR_1) ),
file('theBenchmark.p',p7_19) ).
cnf(c_18,plain,
( ~ p7(C,B)
| ~ p7(C,A)
| p7(A,B) ),
inference(clausify,[status(thm)],[p7_19]) ).
fof(p12_24,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p12(VAR_2,VAR_1)
| ~ p12(VAR_2,VAR_0)
| p12(VAR_0,VAR_1) ),
file('theBenchmark.p',p12_24) ).
cnf(c_23,plain,
( ~ p12(C,B)
| ~ p12(C,A)
| p12(A,B) ),
inference(clausify,[status(thm)],[p12_24]) ).
fof(p21_27,axiom,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
file('theBenchmark.p',p21_27) ).
cnf(c_26,plain,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
inference(clausify,[status(thm)],[p21_27]) ).
fof(p7_32,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11] :
( ~ p3(f11(VAR_2,VAR_3,VAR_0,VAR_4,VAR_5,VAR_6),f11(VAR_7,VAR_8,VAR_1,VAR_9,VAR_10,VAR_11))
| p7(VAR_0,VAR_1) ),
file('theBenchmark.p',p7_32) ).
cnf(c_31,plain,
( ~ p3(f11(C,D,A,E,F,V6),f11(V7,V8,B,V9,V10,V11))
| p7(A,B) ),
inference(clausify,[status(thm)],[p7_32]) ).
fof(p12_37,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7] :
( ~ p21(f11(VAR_2,VAR_3,VAR_0,VAR_6,VAR_7,VAR_4),VAR_5)
| p12(f13(VAR_0),f13(f17(VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_0,VAR_6,VAR_7))) ),
file('theBenchmark.p',p12_37) ).
cnf(c_36,plain,
( ~ p21(f11(C,D,A,V6,V7,E),F)
| p12(f13(A),f13(f17(B,C,D,E,F,A,V6,V7))) ),
inference(clausify,[status(thm)],[p12_37]) ).
fof(p3_48,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7] :
( ~ p21(f11(VAR_2,VAR_3,VAR_5,VAR_6,VAR_7,VAR_4),VAR_0)
| p3(VAR_0,f11(f19(VAR_1,VAR_2,VAR_3,VAR_4,VAR_0,VAR_5,VAR_6,VAR_7),f18(VAR_1,VAR_2,VAR_3,VAR_4,VAR_0,VAR_5,VAR_6,VAR_7),f17(VAR_1,VAR_2,VAR_3,VAR_4,VAR_0,VAR_5,VAR_6,VAR_7),f16(VAR_1,VAR_2,VAR_3,VAR_4,VAR_0,VAR_5,VAR_6,VAR_7),f15(VAR_1,VAR_2,VAR_3,VAR_4,VAR_0,VAR_5,VAR_6,VAR_7),f14(VAR_1,VAR_2,VAR_3,VAR_4,VAR_0,VAR_5,VAR_6,VAR_7))) ),
file('theBenchmark.p',p3_48) ).
cnf(c_46,plain,
( ~ p21(f11(C,D,F,V6,V7,E),A)
| p3(A,f11(f19(B,C,D,E,A,F,V6,V7),f18(B,C,D,E,A,F,V6,V7),f17(B,C,D,E,A,F,V6,V7),f16(B,C,D,E,A,F,V6,V7),f15(B,C,D,E,A,F,V6,V7),f14(B,C,D,E,A,F,V6,V7))) ),
inference(clausify,[status(thm)],[p3_48]) ).
cnf(c_49,plain,
( ~ p12(A,f13(c23))
| ~ p12(A,f13(c22)) ),
inference(resolve,[status(thm)],[c_23,c_10]) ).
cnf(c_56,plain,
p12(f13(c22),f13(f17(A,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27))),
inference(resolve,[status(thm)],[c_36,c_26]) ).
cnf(c_58,plain,
p3(f11(c29,c30,c23,c31,c32,c33),f11(f19(A,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f18(A,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f17(A,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f16(A,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f15(A,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f14(A,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27))),
inference(resolve,[status(thm)],[c_46,c_26]) ).
cnf(c_136,plain,
( ~ p7(A,c23)
| ~ p12(f13(A),f13(c22)) ),
inference(resolve,[status(thm)],[c_49,c_13]) ).
cnf(c_8841,plain,
( ~ p12(f13(c22),B)
| p12(f13(f17(A,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27)),B) ),
inference(resolve,[status(thm)],[c_23,c_56]) ).
cnf(c_1803,plain,
p12(f13(f17(A,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27)),f13(c22)),
inference(resolve,[status(thm)],[c_8841,c_9]) ).
cnf(c_1836,plain,
~ p7(f17(A,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),c23),
inference(resolve,[status(thm)],[c_1803,c_136]) ).
cnf(c_1885,plain,
p7(c23,f17(A,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27)),
inference(resolve,[status(thm)],[c_31,c_58]) ).
cnf(c_8842,plain,
( ~ p7(c23,B)
| p7(f17(A,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),B) ),
inference(resolve,[status(thm)],[c_18,c_1885]) ).
cnf(c_8839,plain,
p7(f17(A,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),c23),
inference(resolve,[status(thm)],[c_8842,c_4]) ).
cnf(c_8840,plain,
$false,
inference(resolve,[status(thm)],[c_8839,c_1836]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN653-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n007.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 18:16:24 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.44 % Process 196827 was started by sandbox on n007,
% 0.18/0.44 % Sat Sep 26 18:16:24 2026
% 0.18/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.18/0.45
% 0.18/0.45 % From the command line: assign(max_seconds, 300).
% 16.22/2.57
% 16.22/2.57 % SZS status Unsatisfiable for theBenchmark
% 16.22/2.57
% 16.22/2.57 % Proof 1 at 1.73 (+ 0.34) seconds.
% 16.22/2.57 % Length of proof is 19.
% 16.22/2.57 % Level of proof is 4.
% 16.22/2.57 % Maximum clause weight is 99.000.
% 16.22/2.57 % Given clauses 91.
% 16.22/2.57
% 16.22/2.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------