%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN599-1 : 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 : n020.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 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 37 ~; 27 |; 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 : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 16 !; 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(p3_15,axiom,
! [VAR_0,VAR_1] :
( ~ p3(VAR_0,VAR_1)
| p3(f14(VAR_0),f14(VAR_1)) ),
file('theBenchmark.p',p3_15) ).
cnf(c_15,plain,
( ~ p3(A,B)
| p3(f14(A),f14(B)) ),
inference(clausify,[status(thm)],[p3_15]) ).
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(f9(VAR_0,VAR_1),f9(VAR_2,VAR_3)) ),
file('theBenchmark.p',p7_25) ).
cnf(c_25,plain,
( ~ p7(A,C)
| ~ p3(B,D)
| p7(f9(A,B),f9(C,D)) ),
inference(clausify,[status(thm)],[p7_25]) ).
fof(p7_26,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p7(VAR_1,VAR_3)
| ~ p7(VAR_0,VAR_2)
| p7(f8(VAR_0,VAR_1),f8(VAR_2,VAR_3)) ),
file('theBenchmark.p',p7_26) ).
cnf(c_26,plain,
( ~ p7(B,D)
| ~ p7(A,C)
| p7(f8(A,B),f8(C,D)) ),
inference(clausify,[status(thm)],[p7_26]) ).
fof(not_p19_27,axiom,
~ p19(f15(f16(c21)),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))),
file('theBenchmark.p',not_p19_27) ).
cnf(c_27,plain,
~ p19(f15(f16(c21)),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))),
inference(clausify,[status(thm)],[not_p19_27]) ).
fof(p19_29,axiom,
! [VAR_0] :
( ~ p18(VAR_0)
| p19(f15(f16(VAR_0)),f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(VAR_0)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))) ),
file('theBenchmark.p',p19_29) ).
cnf(c_29,plain,
( ~ p18(A)
| p19(f15(f16(A)),f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(A)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))) ),
inference(clausify,[status(thm)],[p19_29]) ).
cnf(c_36,plain,
p3(f14(f4(f6(c21))),f14(c22)),
inference(resolve,[status(thm)],[c_15,c_7]) ).
cnf(c_40,plain,
( ~ p19(A,B)
| ~ p7(B,f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))))
| ~ p7(A,f15(f16(c21))) ),
inference(resolve,[status(thm)],[c_27,c_23]) ).
cnf(c_66,plain,
( ~ p19(f15(f16(c21)),A)
| ~ p7(A,f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))) ),
inference(resolve,[status(thm)],[c_40,c_3]) ).
cnf(c_76,plain,
( ~ p7(B,f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))
| ~ p7(A,f9(f12(f10(f13(f11(c23)))),f14(c22)))
| ~ p19(f15(f16(c21)),f8(A,B)) ),
inference(resolve,[status(thm)],[c_66,c_26]) ).
cnf(c_90,plain,
( ~ p18(c21)
| ~ p7(f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))
| ~ p7(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(c21)))),f9(f12(f10(f13(f11(c23)))),f14(c22))) ),
inference(resolve,[status(thm)],[c_76,c_29]) ).
cnf(c_91,plain,
( ~ p18(c21)
| ~ p7(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(c21)))),f9(f12(f10(f13(f11(c23)))),f14(c22))) ),
inference(resolve,[status(thm)],[c_3,c_90]) ).
cnf(c_80,plain,
~ p7(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(c21)))),f9(f12(f10(f13(f11(c23)))),f14(c22))),
inference(resolve,[status(thm)],[c_2,c_91]) ).
cnf(c_92,plain,
( ~ p7(f12(f10(f13(f11(c23)))),f12(f10(f13(f11(c23)))))
| ~ p3(f14(f4(f6(c21))),f14(c22)) ),
inference(resolve,[status(thm)],[c_80,c_25]) ).
cnf(c_93,plain,
~ p7(f12(f10(f13(f11(c23)))),f12(f10(f13(f11(c23))))),
inference(resolve,[status(thm)],[c_36,c_92]) ).
cnf(c_89,plain,
$false,
inference(resolve,[status(thm)],[c_3,c_93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN599-1 : 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 : n020.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 18:16:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 2218386 was started by sandbox2 on n020,
% 0.10/0.36 % Sat Sep 26 18:16:03 2026
% 0.10/0.36 % 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).
% 0.14/0.40
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40
% 0.14/0.40 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.14/0.40 % Length of proof is 15.
% 0.14/0.40 % Level of proof is 5.
% 0.14/0.40 % Maximum clause weight is 89.000.
% 0.14/0.40 % Given clauses 39.
% 0.14/0.40
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------