%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN709-1 : 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 : n008.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 09:39:10 AM UTC 2026
% Result : Unsatisfiable 0.15s 15.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 15 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 23 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p29_14,axiom,
! [VAR_0] : p29(VAR_0,VAR_0),
file('theBenchmark.p',p29_14) ).
cnf(c_14,plain,
p29(A,A),
inference(clausify,[status(thm)],[p29_14]) ).
fof(p19_21,axiom,
! [VAR_0] : p19(VAR_0,VAR_0),
file('theBenchmark.p',p19_21) ).
cnf(c_21,plain,
p19(A,A),
inference(clausify,[status(thm)],[p19_21]) ).
fof(p46_29,axiom,
p46(f23(c58,c56),f20(c59,c60)),
file('theBenchmark.p',p46_29) ).
cnf(c_29,plain,
p46(f23(c58,c56),f20(c59,c60)),
inference(clausify,[status(thm)],[p46_29]) ).
fof(p19_59,axiom,
! [VAR_0,VAR_1] : p19(f25(f28(c64,VAR_0),f34(c66,VAR_1)),f34(VAR_0,VAR_1)),
file('theBenchmark.p',p19_59) ).
cnf(c_59,plain,
p19(f25(f28(c64,A),f34(c66,B)),f34(A,B)),
inference(clausify,[status(thm)],[p19_59]) ).
fof(p47_60,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p19(VAR_3,VAR_1)
| ~ p47(VAR_2,VAR_3)
| ~ p30(VAR_2,VAR_0)
| p47(VAR_0,VAR_1) ),
file('theBenchmark.p',p47_60) ).
cnf(c_60,plain,
( ~ p19(D,B)
| ~ p47(C,D)
| ~ p30(C,A)
| p47(A,B) ),
inference(clausify,[status(thm)],[p47_60]) ).
fof(not_p47_64,axiom,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
file('theBenchmark.p',not_p47_64) ).
cnf(c_64,plain,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
inference(clausify,[status(thm)],[not_p47_64]) ).
fof(p30_72,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p29(VAR_0,VAR_2)
| ~ p19(VAR_1,VAR_3)
| p30(f31(VAR_0,VAR_1),f31(VAR_2,VAR_3)) ),
file('theBenchmark.p',p30_72) ).
cnf(c_72,plain,
( ~ p29(A,C)
| ~ p19(B,D)
| p30(f31(A,B),f31(C,D)) ),
inference(clausify,[status(thm)],[p30_72]) ).
fof(p47_81,axiom,
! [VAR_0,VAR_1] :
( ~ p46(f23(c58,VAR_0),f20(c59,VAR_1))
| p47(f31(f33(c62,c63),f34(c66,VAR_0)),VAR_1) ),
file('theBenchmark.p',p47_81) ).
cnf(c_81,plain,
( ~ p46(f23(c58,A),f20(c59,B))
| p47(f31(f33(c62,c63),f34(c66,A)),B) ),
inference(clausify,[status(thm)],[p47_81]) ).
fof(p47_83,axiom,
! [VAR_0,VAR_1] :
( ~ p47(f31(f33(c62,c63),VAR_0),VAR_1)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),VAR_0)),f25(f28(c64,c65),VAR_1)) ),
file('theBenchmark.p',p47_83) ).
cnf(c_83,plain,
( ~ p47(f31(f33(c62,c63),A),B)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),A)),f25(f28(c64,c65),B)) ),
inference(clausify,[status(thm)],[p47_83]) ).
cnf(c_118,plain,
( ~ p29(A,D)
| p30(f31(A,f25(f28(c64,B),f34(c66,C))),f31(D,f34(B,C))) ),
inference(resolve,[status(thm)],[c_72,c_59]) ).
cnf(c_88,plain,
p30(f31(A,f25(f28(c64,B),f34(c66,C))),f31(A,f34(B,C))),
inference(resolve,[status(thm)],[c_118,c_14]) ).
cnf(c_91,plain,
p47(f31(f33(c62,c63),f34(c66,c56)),c60),
inference(resolve,[status(thm)],[c_81,c_29]) ).
cnf(c_115,plain,
p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60)),
inference(resolve,[status(thm)],[c_83,c_91]) ).
cnf(c_119,plain,
( ~ p19(B,f25(f28(c64,c65),c60))
| ~ p47(A,B)
| ~ p30(A,f31(f33(c62,c63),f34(c65,c56))) ),
inference(resolve,[status(thm)],[c_60,c_64]) ).
cnf(c_120,plain,
( ~ p19(A,f25(f28(c64,c65),c60))
| ~ p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),A) ),
inference(resolve,[status(thm)],[c_119,c_88]) ).
cnf(c_116,plain,
~ p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60)),
inference(resolve,[status(thm)],[c_120,c_21]) ).
cnf(c_117,plain,
$false,
inference(resolve,[status(thm)],[c_116,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN709-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/15.44 % Computer : n008.cluster.edu
% 0.15/15.44 % Model : x86_64 x86_64
% 0.15/15.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/15.44 % Memory : 8046.5625MB
% 0.15/15.44 % OS : Linux 6.8.0-71-generic
% 0.15/15.44 % CPULimit : 300
% 0.15/15.44 % WCLimit : 300
% 0.15/15.44 % DateTime : Sat Sep 26 18:22:09 UTC 2026
% 0.15/15.44 % CPUTime :
% 0.15/15.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/15.44 % Process 77168 was started by sandbox on n008,
% 0.15/15.44 % Sat Sep 26 18:22:09 2026
% 0.15/15.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/15.45
% 0.15/15.45 % From the command line: assign(max_seconds, 300).
% 0.15/15.46
% 0.15/15.46 % SZS status Unsatisfiable for theBenchmark
% 0.15/15.46
% 0.15/15.46 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.15/15.46 % Length of proof is 14.
% 0.15/15.46 % Level of proof is 3.
% 0.15/15.46 % Maximum clause weight is 30.000.
% 0.15/15.46 % Given clauses 92.
% 0.15/15.46
% 0.15/15.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------