%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN598-1 : 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 : n009.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 09:38:55 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 58 ( 33 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(c21_is_p18_2,axiom,
p18(c21),
file('theBenchmark.p',c21_is_p18_2) ).
cnf(c_2,plain,
p18(c21),
inference(clausify,[status(thm)],[c21_is_p18_2]) ).
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(p3_7,axiom,
p3(f4(f6(c21)),c22),
file('theBenchmark.p',p3_7) ).
cnf(c_7,plain,
p3(f4(f6(c21)),c22),
inference(clausify,[status(thm)],[p3_7]) ).
fof(p19_23,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p19(VAR_2,VAR_3)
| ~ p7(VAR_3,VAR_1)
| ~ p7(VAR_2,VAR_0)
| p19(VAR_0,VAR_1) ),
file('theBenchmark.p',p19_23) ).
cnf(c_23,plain,
( ~ p19(C,D)
| ~ p7(D,B)
| ~ p7(C,A)
| p19(A,B) ),
inference(clausify,[status(thm)],[p19_23]) ).
fof(p7_25,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p7(VAR_0,VAR_2)
| ~ p3(VAR_1,VAR_3)
| p7(f11(VAR_0,VAR_1),f11(VAR_2,VAR_3)) ),
file('theBenchmark.p',p7_25) ).
cnf(c_25,plain,
( ~ p7(A,C)
| ~ p3(B,D)
| p7(f11(A,B),f11(C,D)) ),
inference(clausify,[status(thm)],[p7_25]) ).
fof(p7_26,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p7(VAR_0,VAR_2)
| ~ p7(VAR_1,VAR_3)
| p7(f10(VAR_0,VAR_1),f10(VAR_2,VAR_3)) ),
file('theBenchmark.p',p7_26) ).
cnf(c_26,plain,
( ~ p7(A,C)
| ~ p7(B,D)
| p7(f10(A,B),f10(C,D)) ),
inference(clausify,[status(thm)],[p7_26]) ).
fof(not_p19_27,axiom,
~ p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
file('theBenchmark.p',not_p19_27) ).
cnf(c_27,plain,
~ p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
inference(clausify,[status(thm)],[not_p19_27]) ).
fof(p19_28,axiom,
! [VAR_0] :
( ~ p18(VAR_0)
| p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(VAR_0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(VAR_0))) ),
file('theBenchmark.p',p19_28) ).
cnf(c_28,plain,
( ~ p18(A)
| p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(A))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(A))) ),
inference(clausify,[status(thm)],[p19_28]) ).
cnf(c_92,plain,
( ~ p7(A,B)
| p7(f11(A,f4(f6(c21))),f11(B,c22)) ),
inference(resolve,[status(thm)],[c_25,c_7]) ).
cnf(c_47,plain,
p7(f11(A,f4(f6(c21))),f11(A,c22)),
inference(resolve,[status(thm)],[c_92,c_3]) ).
cnf(c_50,plain,
( ~ p19(A,B)
| ~ p7(B,f8(f9(c21)))
| ~ p7(A,f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))) ),
inference(resolve,[status(thm)],[c_27,c_23]) ).
cnf(c_86,plain,
( ~ p19(A,f8(f9(c21)))
| ~ p7(A,f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))) ),
inference(resolve,[status(thm)],[c_50,c_3]) ).
cnf(c_89,plain,
( ~ p7(A,f11(f14(f12(f15(f13(c23)))),c22))
| ~ p7(B,f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))
| ~ p19(f10(A,B),f8(f9(c21))) ),
inference(resolve,[status(thm)],[c_86,c_26]) ).
cnf(c_93,plain,
( ~ p18(c21)
| ~ p7(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),c22))
| ~ p7(f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))) ),
inference(resolve,[status(thm)],[c_89,c_28]) ).
cnf(c_94,plain,
( ~ p18(c21)
| ~ p7(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),c22)) ),
inference(resolve,[status(thm)],[c_3,c_93]) ).
cnf(c_95,plain,
~ p18(c21),
inference(resolve,[status(thm)],[c_47,c_94]) ).
cnf(c_91,plain,
$false,
inference(resolve,[status(thm)],[c_2,c_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN598-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 18:15:14 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 820892 was started by sandbox2 on n009,
% 0.10/0.37 % Sat Sep 26 18:15:14 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 0.10/0.39
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.39
% 0.10/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.10/0.39 % Length of proof is 13.
% 0.10/0.39 % Level of proof is 4.
% 0.10/0.39 % Maximum clause weight is 100.000.
% 0.10/0.39 % Given clauses 39.
% 0.10/0.39
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------