%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN655-1 : 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 : n019.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 09:39:03 AM UTC 2026
% Result : Unsatisfiable 2.09s 0.68s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 25 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-8 aty)
% Number of variables : 75 ( 14 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p9_2,axiom,
! [VAR_0] : p9(VAR_0,VAR_0),
file('theBenchmark.p',p9_2) ).
cnf(c_2,plain,
p9(A,A),
inference(clausify,[status(thm)],[p9_2]) ).
fof(not_p9_10,axiom,
~ p9(c22,c23),
file('theBenchmark.p',not_p9_10) ).
cnf(c_10,plain,
~ p9(c22,c23),
inference(clausify,[status(thm)],[not_p9_10]) ).
fof(p9_17,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p9(VAR_2,VAR_1)
| ~ p9(VAR_2,VAR_0)
| p9(VAR_0,VAR_1) ),
file('theBenchmark.p',p9_17) ).
cnf(c_16,plain,
( ~ p9(C,B)
| ~ p9(C,A)
| p9(A,B) ),
inference(clausify,[status(thm)],[p9_17]) ).
fof(p21_27,axiom,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
file('theBenchmark.p',p21_27) ).
cnf(c_26,plain,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
inference(clausify,[status(thm)],[p21_27]) ).
fof(p9_30,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_4,VAR_5,VAR_0,VAR_6),f11(VAR_7,VAR_8,VAR_9,VAR_10,VAR_1,VAR_11))
| p9(VAR_0,VAR_1) ),
file('theBenchmark.p',p9_30) ).
cnf(c_29,plain,
( ~ p3(f11(C,D,E,F,A,V6),f11(V7,V8,V9,V10,B,V11))
| p9(A,B) ),
inference(clausify,[status(thm)],[p9_30]) ).
fof(p9_35,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7] :
( ~ p21(f11(VAR_2,VAR_3,VAR_6,VAR_7,VAR_0,VAR_4),VAR_5)
| p9(VAR_0,f15(VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_0)) ),
file('theBenchmark.p',p9_35) ).
cnf(c_34,plain,
( ~ p21(f11(C,D,V6,V7,A,E),F)
| p9(A,f15(B,C,D,E,F,V6,V7,A)) ),
inference(clausify,[status(thm)],[p9_35]) ).
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_48,plain,
( ~ p9(A,c23)
| ~ p9(A,c22) ),
inference(resolve,[status(thm)],[c_16,c_10]) ).
cnf(c_54,plain,
p9(c22,f15(A,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)),
inference(resolve,[status(thm)],[c_34,c_26]) ).
cnf(c_58,plain,
p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(A,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(A,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(A,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(A,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(A,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(A,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))),
inference(resolve,[status(thm)],[c_46,c_26]) ).
cnf(c_62,plain,
( ~ p9(B,c22)
| ~ p9(B,A)
| ~ p9(A,c23) ),
inference(resolve,[status(thm)],[c_48,c_16]) ).
cnf(c_73,plain,
( ~ p9(c22,A)
| ~ p9(A,c23) ),
inference(resolve,[status(thm)],[c_62,c_2]) ).
cnf(c_75,plain,
( ~ p9(B,c23)
| ~ p9(B,A)
| ~ p9(c22,A) ),
inference(resolve,[status(thm)],[c_73,c_16]) ).
cnf(c_166,plain,
( ~ p9(c23,A)
| ~ p9(c22,A) ),
inference(resolve,[status(thm)],[c_75,c_2]) ).
cnf(c_175,plain,
~ p9(c23,f15(A,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)),
inference(resolve,[status(thm)],[c_54,c_166]) ).
cnf(c_1980,plain,
p9(c23,f15(A,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)),
inference(resolve,[status(thm)],[c_29,c_58]) ).
cnf(c_1981,plain,
$false,
inference(resolve,[status(thm)],[c_1980,c_175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN655-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 18:19:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 1906666 was started by sandbox on n019,
% 0.08/0.35 % Sat Sep 26 18:19:03 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 2.09/0.68
% 2.09/0.68 % SZS status Unsatisfiable for theBenchmark
% 2.09/0.68
% 2.09/0.68 % Proof 1 at 0.25 (+ 0.05) seconds.
% 2.09/0.68 % Length of proof is 17.
% 2.09/0.68 % Level of proof is 7.
% 2.09/0.68 % Maximum clause weight is 99.000.
% 2.09/0.68 % Given clauses 83.
% 2.09/0.68
% 2.09/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------