%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN613-1 : 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 : n020.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 09:38:57 AM UTC 2026
% Result : Unsatisfiable 0.14s 5.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 20 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 52 ( 31 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p11_1,axiom,
! [VAR_0] : p11(VAR_0,VAR_0),
file('theBenchmark.p',p11_1) ).
cnf(c_1,plain,
p11(A,A),
inference(clausify,[status(thm)],[p11_1]) ).
fof(p3_4,axiom,
! [VAR_0] : p3(VAR_0,VAR_0),
file('theBenchmark.p',p3_4) ).
cnf(c_4,plain,
p3(A,A),
inference(clausify,[status(thm)],[p3_4]) ).
fof(p16_6,axiom,
! [VAR_0] : p16(VAR_0,VAR_0),
file('theBenchmark.p',p16_6) ).
cnf(c_6,plain,
p16(A,A),
inference(clausify,[status(thm)],[p16_6]) ).
fof(p11_7,axiom,
p11(c23,f12(f9(c21))),
file('theBenchmark.p',p11_7) ).
cnf(c_7,plain,
p11(c23,f12(f9(c21))),
inference(clausify,[status(thm)],[p11_7]) ).
fof(p11_8,axiom,
p11(c24,f12(f9(c21))),
file('theBenchmark.p',p11_8) ).
cnf(c_8,plain,
p11(c24,f12(f9(c21))),
inference(clausify,[status(thm)],[p11_8]) ).
fof(p11_15,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_15) ).
cnf(c_15,plain,
( ~ p11(C,B)
| ~ p11(C,A)
| p11(A,B) ),
inference(clausify,[status(thm)],[p11_15]) ).
fof(p17_21,axiom,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
file('theBenchmark.p',p17_21) ).
cnf(c_21,plain,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
inference(clausify,[status(thm)],[p17_21]) ).
fof(not_p17_22,axiom,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
file('theBenchmark.p',not_p17_22) ).
cnf(c_22,plain,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
inference(clausify,[status(thm)],[not_p17_22]) ).
fof(p17_29,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ p17(VAR_4,VAR_3,VAR_5)
| ~ p11(VAR_5,VAR_2)
| ~ p16(VAR_4,VAR_0)
| ~ p3(VAR_3,VAR_1)
| p17(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',p17_29) ).
cnf(c_29,plain,
( ~ p17(E,D,F)
| ~ p11(F,C)
| ~ p16(E,A)
| ~ p3(D,B)
| p17(A,B,C) ),
inference(clausify,[status(thm)],[p17_29]) ).
cnf(c_43,plain,
( ~ p11(B,A)
| p11(A,B) ),
inference(resolve,[status(thm)],[c_15,c_1]) ).
cnf(c_86,plain,
( ~ p17(B,A,C)
| ~ p11(C,c23)
| ~ p16(B,c19)
| ~ p3(A,f4(f7(f10(c20),f8(f9(c21),c22)))) ),
inference(resolve,[status(thm)],[c_29,c_22]) ).
cnf(c_87,plain,
( ~ p17(A,f4(f7(f10(c20),f8(f9(c21),c22))),B)
| ~ p11(B,c23)
| ~ p16(A,c19) ),
inference(resolve,[status(thm)],[c_86,c_4]) ).
cnf(c_88,plain,
( ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),A)
| ~ p11(A,c23) ),
inference(resolve,[status(thm)],[c_87,c_6]) ).
cnf(c_65,plain,
~ p11(c24,c23),
inference(resolve,[status(thm)],[c_88,c_21]) ).
cnf(c_89,plain,
( ~ p11(A,c23)
| ~ p11(A,c24) ),
inference(resolve,[status(thm)],[c_15,c_65]) ).
cnf(c_75,plain,
~ p11(c23,c24),
inference(resolve,[status(thm)],[c_89,c_1]) ).
cnf(c_77,plain,
p11(f12(f9(c21)),c24),
inference(resolve,[status(thm)],[c_43,c_8]) ).
cnf(c_78,plain,
p11(f12(f9(c21)),c23),
inference(resolve,[status(thm)],[c_43,c_7]) ).
cnf(c_90,plain,
( ~ p11(A,c24)
| ~ p11(A,c23) ),
inference(resolve,[status(thm)],[c_15,c_75]) ).
cnf(c_91,plain,
~ p11(f12(f9(c21)),c23),
inference(resolve,[status(thm)],[c_90,c_77]) ).
cnf(c_85,plain,
$false,
inference(resolve,[status(thm)],[c_78,c_91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN613-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.39 % Computer : n020.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Sat Sep 26 18:17:09 UTC 2026
% 0.10/5.40 % CPUTime :
% 0.14/5.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/5.40 % Process 2220353 was started by sandbox on n020,
% 0.14/5.40 % Sat Sep 26 18:17:09 2026
% 0.14/5.40 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/5.40
% 0.14/5.40 % From the command line: assign(max_seconds, 300).
% 0.14/5.41
% 0.14/5.41 % SZS status Unsatisfiable for theBenchmark
% 0.14/5.41
% 0.14/5.41 % Proof 1 at 0.00 (+ 0.01) seconds.
% 0.14/5.41 % Length of proof is 15.
% 0.14/5.41 % Level of proof is 3.
% 0.14/5.41 % Maximum clause weight is 17.000.
% 0.14/5.41 % Given clauses 39.
% 0.14/5.41
% 0.14/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------