%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN654-1 : 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 : n004.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 2.19s 0.69s
% Output : CNFRefutation 2.19s
% 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(p8_3,axiom,
! [VAR_0] : p8(VAR_0,VAR_0),
file('theBenchmark.p',p8_3) ).
cnf(c_3,plain,
p8(A,A),
inference(clausify,[status(thm)],[p8_3]) ).
fof(not_p8_10,axiom,
~ p8(c22,c23),
file('theBenchmark.p',not_p8_10) ).
cnf(c_10,plain,
~ p8(c22,c23),
inference(clausify,[status(thm)],[not_p8_10]) ).
fof(p8_18,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p8(VAR_2,VAR_1)
| ~ p8(VAR_2,VAR_0)
| p8(VAR_0,VAR_1) ),
file('theBenchmark.p',p8_18) ).
cnf(c_17,plain,
( ~ p8(C,B)
| ~ p8(C,A)
| p8(A,B) ),
inference(clausify,[status(thm)],[p8_18]) ).
fof(p21_27,axiom,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
file('theBenchmark.p',p21_27) ).
cnf(c_26,plain,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
inference(clausify,[status(thm)],[p21_27]) ).
fof(p8_31,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_0,VAR_5,VAR_6),f11(VAR_7,VAR_8,VAR_9,VAR_1,VAR_10,VAR_11))
| p8(VAR_0,VAR_1) ),
file('theBenchmark.p',p8_31) ).
cnf(c_30,plain,
( ~ p3(f11(C,D,E,A,F,V6),f11(V7,V8,V9,B,V10,V11))
| p8(A,B) ),
inference(clausify,[status(thm)],[p8_31]) ).
fof(p8_36,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_0,VAR_7,VAR_4),VAR_5)
| p8(VAR_0,f16(VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_0,VAR_7)) ),
file('theBenchmark.p',p8_36) ).
cnf(c_35,plain,
( ~ p21(f11(C,D,V6,A,V7,E),F)
| p8(A,f16(B,C,D,E,F,V6,A,V7)) ),
inference(clausify,[status(thm)],[p8_36]) ).
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,
( ~ p8(A,c23)
| ~ p8(A,c22) ),
inference(resolve,[status(thm)],[c_17,c_10]) ).
cnf(c_55,plain,
p8(c22,f16(A,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(resolve,[status(thm)],[c_35,c_26]) ).
cnf(c_58,plain,
p3(f11(c29,c30,c31,c23,c32,c33),f11(f19(A,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f18(A,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f17(A,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f16(A,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f15(A,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f14(A,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),
inference(resolve,[status(thm)],[c_46,c_26]) ).
cnf(c_62,plain,
( ~ p8(B,c22)
| ~ p8(B,A)
| ~ p8(A,c23) ),
inference(resolve,[status(thm)],[c_48,c_17]) ).
cnf(c_73,plain,
( ~ p8(c22,A)
| ~ p8(A,c23) ),
inference(resolve,[status(thm)],[c_62,c_3]) ).
cnf(c_75,plain,
( ~ p8(B,c23)
| ~ p8(B,A)
| ~ p8(c22,A) ),
inference(resolve,[status(thm)],[c_73,c_17]) ).
cnf(c_166,plain,
( ~ p8(c23,A)
| ~ p8(c22,A) ),
inference(resolve,[status(thm)],[c_75,c_3]) ).
cnf(c_242,plain,
~ p8(c23,f16(A,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(resolve,[status(thm)],[c_55,c_166]) ).
cnf(c_1979,plain,
p8(c23,f16(A,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(resolve,[status(thm)],[c_30,c_58]) ).
cnf(c_1980,plain,
$false,
inference(resolve,[status(thm)],[c_1979,c_242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN654-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 18:18:26 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.37 % Process 2334694 was started by sandbox2 on n004,
% 0.11/0.37 % Sat Sep 26 18:18:26 2026
% 0.11/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/0.37
% 0.11/0.37 % From the command line: assign(max_seconds, 300).
% 2.19/0.69
% 2.19/0.69 % SZS status Unsatisfiable for theBenchmark
% 2.19/0.69
% 2.19/0.69 % Proof 1 at 0.25 (+ 0.05) seconds.
% 2.19/0.69 % Length of proof is 17.
% 2.19/0.69 % Level of proof is 7.
% 2.19/0.69 % Maximum clause weight is 99.000.
% 2.19/0.69 % Given clauses 83.
% 2.19/0.69
% 2.19/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------