%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN659-1 : 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 : 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 0.09s 10.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 14 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 28 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p7_3,axiom,
! [VAR_0] : p7(VAR_0,VAR_0),
file('theBenchmark.p',p7_3) ).
cnf(c_3,plain,
p7(A,A),
inference(clausify,[status(thm)],[p7_3]) ).
fof(p12_10,axiom,
! [VAR_0] : p12(VAR_0,VAR_0),
file('theBenchmark.p',p12_10) ).
cnf(c_10,plain,
p12(A,A),
inference(clausify,[status(thm)],[p12_10]) ).
fof(p24_27,axiom,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
file('theBenchmark.p',p24_27) ).
cnf(c_27,plain,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
inference(clausify,[status(thm)],[p24_27]) ).
fof(p12_29,axiom,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
file('theBenchmark.p',p12_29) ).
cnf(c_29,plain,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
inference(clausify,[status(thm)],[p12_29]) ).
fof(p12_38,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_38) ).
cnf(c_38,plain,
( ~ p12(C,B)
| ~ p12(C,A)
| p12(A,B) ),
inference(clausify,[status(thm)],[p12_38]) ).
fof(not_p24_39,axiom,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
file('theBenchmark.p',not_p24_39) ).
cnf(c_39,plain,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
inference(clausify,[status(thm)],[not_p24_39]) ).
fof(p24_41,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p12(VAR_3,VAR_1)
| ~ p24(VAR_2,VAR_3)
| ~ p14(VAR_2,VAR_0)
| p24(VAR_0,VAR_1) ),
file('theBenchmark.p',p24_41) ).
cnf(c_41,plain,
( ~ p12(D,B)
| ~ p24(C,D)
| ~ p14(C,A)
| p24(A,B) ),
inference(clausify,[status(thm)],[p24_41]) ).
fof(p14_45,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p7(VAR_0,VAR_2)
| ~ p12(VAR_1,VAR_3)
| p14(f15(VAR_0,VAR_1),f15(VAR_2,VAR_3)) ),
file('theBenchmark.p',p14_45) ).
cnf(c_45,plain,
( ~ p7(A,C)
| ~ p12(B,D)
| p14(f15(A,B),f15(C,D)) ),
inference(clausify,[status(thm)],[p14_45]) ).
cnf(c_196,plain,
( ~ p12(B,f13(c32,c33))
| ~ p24(A,B)
| ~ p14(A,f15(c29,f13(f16(c39),f17(c39)))) ),
inference(resolve,[status(thm)],[c_41,c_39]) ).
cnf(c_197,plain,
( ~ p12(f13(c32,c33),f13(c32,c33))
| ~ p14(f15(c29,f13(c40,c41)),f15(c29,f13(f16(c39),f17(c39)))) ),
inference(resolve,[status(thm)],[c_196,c_27]) ).
cnf(c_104,plain,
~ p14(f15(c29,f13(c40,c41)),f15(c29,f13(f16(c39),f17(c39)))),
inference(resolve,[status(thm)],[c_197,c_10]) ).
cnf(c_198,plain,
( ~ p7(c29,c29)
| ~ p12(f13(c40,c41),f13(f16(c39),f17(c39))) ),
inference(resolve,[status(thm)],[c_45,c_104]) ).
cnf(c_193,plain,
~ p12(f13(c40,c41),f13(f16(c39),f17(c39))),
inference(resolve,[status(thm)],[c_198,c_3]) ).
cnf(c_199,plain,
( ~ p12(A,f13(f16(c39),f17(c39)))
| ~ p12(A,f13(c40,c41)) ),
inference(resolve,[status(thm)],[c_38,c_193]) ).
cnf(c_200,plain,
~ p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
inference(resolve,[status(thm)],[c_199,c_10]) ).
cnf(c_195,plain,
$false,
inference(resolve,[status(thm)],[c_29,c_200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN659-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n004.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Sat Sep 26 18:19:16 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/10.38 % Process 2337203 was started by sandbox on n004,
% 0.09/10.38 % Sat Sep 26 18:19:16 2026
% 0.09/10.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/10.38
% 0.09/10.38 % From the command line: assign(max_seconds, 300).
% 0.09/10.39
% 0.09/10.39 % SZS status Unsatisfiable for theBenchmark
% 0.09/10.39
% 0.09/10.39 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.09/10.39 % Length of proof is 11.
% 0.09/10.39 % Level of proof is 3.
% 0.09/10.39 % Maximum clause weight is 33.000.
% 0.09/10.39 % Given clauses 71.
% 0.09/10.39
% 0.09/10.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------