%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN672-1 : 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 : n026.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 09:39:05 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 25 ~; 21 |; 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 : 41 ( 0 sgn 16 !; 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(p3_6,axiom,
! [VAR_0] : p3(VAR_0,VAR_0),
file('theBenchmark.p',p3_6) ).
cnf(c_6,plain,
p3(A,A),
inference(clausify,[status(thm)],[p3_6]) ).
fof(not_p3_18,axiom,
~ p3(c40,f14(c38,c39)),
file('theBenchmark.p',not_p3_18) ).
cnf(c_18,plain,
~ p3(c40,f14(c38,c39)),
inference(clausify,[status(thm)],[not_p3_18]) ).
fof(p31_19,axiom,
p31(f20(c36,c39),f17(c37,c40)),
file('theBenchmark.p',p31_19) ).
cnf(c_19,plain,
p31(f20(c36,c39),f17(c37,c40)),
inference(clausify,[status(thm)],[p31_19]) ).
fof(p3_37,axiom,
! [VAR_0,VAR_1] : p3(f4(f7(c34,VAR_0),f14(c38,VAR_1)),f14(VAR_0,VAR_1)),
file('theBenchmark.p',p3_37) ).
cnf(c_37,plain,
p3(f4(f7(c34,A),f14(c38,B)),f14(A,B)),
inference(clausify,[status(thm)],[p3_37]) ).
fof(p30_39,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_3,VAR_1)
| ~ p9(VAR_2,VAR_0)
| ~ p30(VAR_2,VAR_3)
| p30(VAR_0,VAR_1) ),
file('theBenchmark.p',p30_39) ).
cnf(c_39,plain,
( ~ p3(D,B)
| ~ p9(C,A)
| ~ p30(C,D)
| p30(A,B) ),
inference(clausify,[status(thm)],[p30_39]) ).
fof(not_p30_40,axiom,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
file('theBenchmark.p',not_p30_40) ).
cnf(c_40,plain,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
inference(clausify,[status(thm)],[not_p30_40]) ).
fof(p9_42,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p8(VAR_0,VAR_2)
| ~ p3(VAR_1,VAR_3)
| p9(f10(VAR_0,VAR_1),f10(VAR_2,VAR_3)) ),
file('theBenchmark.p',p9_42) ).
cnf(c_42,plain,
( ~ p8(A,C)
| ~ p3(B,D)
| p9(f10(A,B),f10(C,D)) ),
inference(clausify,[status(thm)],[p9_42]) ).
fof(p3_53,axiom,
! [VAR_0,VAR_1] :
( ~ p31(f20(c36,VAR_1),f17(c37,VAR_0))
| p30(f10(f12(c32,c33),f14(c38,VAR_1)),VAR_0)
| p3(VAR_0,f14(c38,VAR_1)) ),
file('theBenchmark.p',p3_53) ).
cnf(c_53,plain,
( ~ p31(f20(c36,B),f17(c37,A))
| p30(f10(f12(c32,c33),f14(c38,B)),A)
| p3(A,f14(c38,B)) ),
inference(clausify,[status(thm)],[p3_53]) ).
fof(p30_54,axiom,
! [VAR_0,VAR_1] :
( ~ p30(f10(f12(c32,c33),VAR_0),VAR_1)
| p30(f10(f12(c32,c33),f4(f7(c34,c35),VAR_0)),f4(f7(c34,c35),VAR_1)) ),
file('theBenchmark.p',p30_54) ).
cnf(c_54,plain,
( ~ p30(f10(f12(c32,c33),A),B)
| p30(f10(f12(c32,c33),f4(f7(c34,c35),A)),f4(f7(c34,c35),B)) ),
inference(clausify,[status(thm)],[p30_54]) ).
cnf(c_78,plain,
( ~ p3(B,C)
| p9(f10(A,B),f10(A,C)) ),
inference(resolve,[status(thm)],[c_42,c_3]) ).
cnf(c_114,plain,
( p30(f10(f12(c32,c33),f14(c38,c39)),c40)
| p3(c40,f14(c38,c39)) ),
inference(resolve,[status(thm)],[c_53,c_19]) ).
cnf(c_90,plain,
p30(f10(f12(c32,c33),f14(c38,c39)),c40),
inference(resolve,[status(thm)],[c_18,c_114]) ).
cnf(c_94,plain,
p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40)),
inference(resolve,[status(thm)],[c_90,c_54]) ).
cnf(c_99,plain,
p9(f10(A,f4(f7(c34,B),f14(c38,C))),f10(A,f14(B,C))),
inference(resolve,[status(thm)],[c_78,c_37]) ).
cnf(c_115,plain,
( ~ p3(B,f4(f7(c34,c35),c40))
| ~ p9(A,f10(f12(c32,c33),f14(c35,c39)))
| ~ p30(A,B) ),
inference(resolve,[status(thm)],[c_39,c_40]) ).
cnf(c_116,plain,
( ~ p3(A,f4(f7(c34,c35),c40))
| ~ p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),A) ),
inference(resolve,[status(thm)],[c_115,c_99]) ).
cnf(c_117,plain,
~ p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40)),
inference(resolve,[status(thm)],[c_116,c_6]) ).
cnf(c_113,plain,
$false,
inference(resolve,[status(thm)],[c_94,c_117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN672-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n026.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 18:22:25 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.34 % Process 1665506 was started by sandbox2 on n026,
% 0.08/0.34 % Sat Sep 26 18:22:25 2026
% 0.08/0.34 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.35
% 0.08/0.35 % From the command line: assign(max_seconds, 300).
% 0.12/0.37
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37
% 0.12/0.37 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.12/0.37 % Length of proof is 15.
% 0.12/0.37 % Level of proof is 3.
% 0.12/0.37 % Maximum clause weight is 22.000.
% 0.12/0.37 % Given clauses 99.
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------