%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN635-1 : 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 : n014.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 09:39:00 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 18 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 33 ( 4 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(not_p3_7,axiom,
~ p3(c23,f8(c24)),
file('theBenchmark.p',not_p3_7) ).
cnf(c_7,plain,
~ p3(c23,f8(c24)),
inference(clausify,[status(thm)],[not_p3_7]) ).
fof(p3_8,axiom,
! [VAR_0,VAR_1,VAR_2] : p3(f4(f6(VAR_0,f7(VAR_1,VAR_2))),VAR_1),
file('theBenchmark.p',p3_8) ).
cnf(c_8,plain,
p3(f4(f6(A,f7(B,C))),B),
inference(clausify,[status(thm)],[p3_8]) ).
fof(p3_17,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p3(VAR_2,VAR_1)
| ~ p3(VAR_2,VAR_0)
| p3(VAR_0,VAR_1) ),
file('theBenchmark.p',p3_17) ).
cnf(c_17,plain,
( ~ p3(C,B)
| ~ p3(C,A)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_17]) ).
fof(not_p10_25,axiom,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
file('theBenchmark.p',not_p10_25) ).
cnf(c_25,plain,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
inference(clausify,[status(thm)],[not_p10_25]) ).
fof(p21_26,axiom,
! [VAR_0] :
( ~ p22(VAR_0,f16(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,VAR_0))) ),
file('theBenchmark.p',p21_26) ).
cnf(c_26,plain,
( ~ p22(A,f16(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,A))) ),
inference(clausify,[status(thm)],[p21_26]) ).
fof(p3_35,axiom,
! [VAR_0,VAR_1,VAR_2] :
( p10(f11(VAR_0,c27,VAR_1),f11(VAR_0,c27,VAR_2))
| p22(f19(VAR_0,VAR_1,VAR_2),f16(VAR_0))
| p3(f4(VAR_0),f8(c24)) ),
file('theBenchmark.p',p3_35) ).
cnf(c_35,plain,
( p10(f11(A,c27,B),f11(A,c27,C))
| p22(f19(A,B,C),f16(A))
| p3(f4(A),f8(c24)) ),
inference(clausify,[status(thm)],[p3_35]) ).
fof(p3_40,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p21(f12(f13(VAR_1,VAR_2)),f12(f13(VAR_1,f19(VAR_0,VAR_1,VAR_2))))
| p10(f11(VAR_0,c27,VAR_1),f11(VAR_0,c27,VAR_2))
| p3(f4(VAR_0),f8(c24)) ),
file('theBenchmark.p',p3_40) ).
cnf(c_40,plain,
( ~ p21(f12(f13(B,C)),f12(f13(B,f19(A,B,C))))
| p10(f11(A,c27,B),f11(A,c27,C))
| p3(f4(A),f8(c24)) ),
inference(clausify,[status(thm)],[p3_40]) ).
cnf(c_290,plain,
( ~ p3(A,f8(c24))
| ~ p3(A,c23) ),
inference(resolve,[status(thm)],[c_17,c_7]) ).
cnf(c_57,plain,
~ p3(f4(f6(A,f7(c23,B))),f8(c24)),
inference(resolve,[status(thm)],[c_290,c_8]) ).
cnf(c_291,plain,
( p22(f19(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(resolve,[status(thm)],[c_35,c_25]) ).
cnf(c_107,plain,
p22(f19(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))),
inference(resolve,[status(thm)],[c_57,c_291]) ).
cnf(c_292,plain,
( ~ p21(f12(f13(C,D)),f12(f13(C,f19(f6(A,f7(c23,B)),C,D))))
| p10(f11(f6(A,f7(c23,B)),c27,C),f11(f6(A,f7(c23,B)),c27,D)) ),
inference(resolve,[status(thm)],[c_40,c_57]) ).
cnf(c_149,plain,
~ p21(f12(f13(c28,c29)),f12(f13(c28,f19(f6(c25,f7(c23,c26)),c28,c29)))),
inference(resolve,[status(thm)],[c_292,c_25]) ).
cnf(c_293,plain,
~ p22(f19(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))),
inference(resolve,[status(thm)],[c_26,c_149]) ).
cnf(c_289,plain,
$false,
inference(resolve,[status(thm)],[c_107,c_293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN635-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n014.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 18:17:16 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.36 % Process 3818611 was started by sandbox on n014,
% 0.13/0.36 % Sat Sep 26 18:17:16 2026
% 0.13/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.36
% 0.13/0.36 % From the command line: assign(max_seconds, 300).
% 0.13/0.39
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39
% 0.13/0.39 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.13/0.39 % Length of proof is 11.
% 0.13/0.39 % Level of proof is 3.
% 0.13/0.39 % Maximum clause weight is 46.000.
% 0.13/0.39 % Given clauses 93.
% 0.13/0.39
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------