%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN600-1 : 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 : n018.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 125.37s 16.69s
% Output : CNFRefutation 125.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 18 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 81 ( 43 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 12 ( 4 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(c21_is_p19_1,axiom,
p19(c21),
file('theBenchmark.p',c21_is_p19_1) ).
cnf(c_1,plain,
p19(c21),
inference(clausify,[status(thm)],[c21_is_p19_1]) ).
fof(c22_is_p19_2,axiom,
p19(c22),
file('theBenchmark.p',c22_is_p19_2) ).
cnf(c_2,plain,
p19(c22),
inference(clausify,[status(thm)],[c22_is_p19_2]) ).
fof(p7_4,axiom,
! [VAR_0] : p7(VAR_0,VAR_0),
file('theBenchmark.p',p7_4) ).
cnf(c_4,plain,
p7(A,A),
inference(clausify,[status(thm)],[p7_4]) ).
fof(p7_7,axiom,
p7(f16(c21),f16(c22)),
file('theBenchmark.p',p7_7) ).
cnf(c_7,plain,
p7(f16(c21),f16(c22)),
inference(clausify,[status(thm)],[p7_7]) ).
fof(not_p3_8,axiom,
~ p3(f4(f6(c21)),f4(f6(c22))),
file('theBenchmark.p',not_p3_8) ).
cnf(c_8,plain,
~ p3(f4(f6(c21)),f4(f6(c22))),
inference(clausify,[status(thm)],[not_p3_8]) ).
fof(p7_17,axiom,
! [VAR_0,VAR_1] :
( ~ p7(VAR_0,VAR_1)
| p7(f15(VAR_0),f15(VAR_1)) ),
file('theBenchmark.p',p7_17) ).
cnf(c_17,plain,
( ~ p7(A,B)
| p7(f15(A),f15(B)) ),
inference(clausify,[status(thm)],[p7_17]) ).
fof(p7_19,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p7(VAR_2,VAR_1)
| ~ p7(VAR_2,VAR_0)
| p7(VAR_0,VAR_1) ),
file('theBenchmark.p',p7_19) ).
cnf(c_19,plain,
( ~ p7(C,B)
| ~ p7(C,A)
| p7(A,B) ),
inference(clausify,[status(thm)],[p7_19]) ).
fof(p17_22,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p17(VAR_2,VAR_3)
| ~ p7(VAR_3,VAR_1)
| ~ p7(VAR_2,VAR_0)
| p17(VAR_0,VAR_1) ),
file('theBenchmark.p',p17_22) ).
cnf(c_22,plain,
( ~ p17(C,D)
| ~ p7(D,B)
| ~ p7(C,A)
| p17(A,B) ),
inference(clausify,[status(thm)],[p17_22]) ).
fof(p18_23,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p18(VAR_2,VAR_3)
| ~ p7(VAR_3,VAR_1)
| ~ p7(VAR_2,VAR_0)
| p18(VAR_0,VAR_1) ),
file('theBenchmark.p',p18_23) ).
cnf(c_23,plain,
( ~ p18(C,D)
| ~ p7(D,B)
| ~ p7(C,A)
| p18(A,B) ),
inference(clausify,[status(thm)],[p18_23]) ).
fof(p18_27,axiom,
! [VAR_0] :
( ~ p19(VAR_0)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(VAR_0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(VAR_0))) ),
file('theBenchmark.p',p18_27) ).
cnf(c_27,plain,
( ~ p19(A)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(A))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(A))) ),
inference(clausify,[status(thm)],[p18_27]) ).
fof(p17_28,axiom,
! [VAR_0] :
( ~ p19(VAR_0)
| p17(f15(f16(VAR_0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(VAR_0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
file('theBenchmark.p',p17_28) ).
cnf(c_28,plain,
( ~ p19(A)
| p17(f15(f16(A)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(A))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(clausify,[status(thm)],[p17_28]) ).
fof(p3_29,axiom,
! [VAR_0,VAR_1] :
( ~ p17(f15(f16(VAR_0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),VAR_1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),VAR_1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(VAR_0)))
| ~ p19(VAR_0)
| p3(f4(f6(VAR_0)),VAR_1) ),
file('theBenchmark.p',p3_29) ).
cnf(c_29,plain,
( ~ p17(f15(f16(A)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),B),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),B),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(A)))
| ~ p19(A)
| p3(f4(f6(A)),B) ),
inference(clausify,[status(thm)],[p3_29]) ).
cnf(c_2012,plain,
( ~ p7(f16(c21),A)
| p7(f16(c22),A) ),
inference(resolve,[status(thm)],[c_19,c_7]) ).
cnf(c_36,plain,
p7(f16(c22),f16(c21)),
inference(resolve,[status(thm)],[c_2012,c_4]) ).
cnf(c_46,plain,
p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c22))),
inference(resolve,[status(thm)],[c_27,c_2]) ).
cnf(c_48,plain,
p17(f15(f16(c22)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))),
inference(resolve,[status(thm)],[c_28,c_2]) ).
cnf(c_2013,plain,
( ~ p17(f15(f16(c21)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21)))
| ~ p19(c21) ),
inference(resolve,[status(thm)],[c_29,c_8]) ).
cnf(c_50,plain,
( ~ p17(f15(f16(c21)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21))) ),
inference(resolve,[status(thm)],[c_1,c_2013]) ).
cnf(c_69,plain,
p7(f15(f16(c22)),f15(f16(c21))),
inference(resolve,[status(thm)],[c_17,c_36]) ).
cnf(c_2014,plain,
( ~ p18(A,C)
| ~ p7(C,B)
| p18(A,B) ),
inference(resolve,[status(thm)],[c_23,c_4]) ).
cnf(c_2015,plain,
( ~ p18(A,f15(f16(c22)))
| p18(A,f15(f16(c21))) ),
inference(resolve,[status(thm)],[c_2014,c_69]) ).
cnf(c_1032,plain,
p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21))),
inference(resolve,[status(thm)],[c_2015,c_46]) ).
cnf(c_1033,plain,
~ p17(f15(f16(c21)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))),
inference(resolve,[status(thm)],[c_1032,c_50]) ).
cnf(c_2016,plain,
( ~ p17(f15(f16(c22)),B)
| ~ p7(B,A)
| p17(f15(f16(c21)),A) ),
inference(resolve,[status(thm)],[c_22,c_69]) ).
cnf(c_2017,plain,
( ~ p17(f15(f16(c22)),A)
| p17(f15(f16(c21)),A) ),
inference(resolve,[status(thm)],[c_2016,c_4]) ).
cnf(c_2018,plain,
p17(f15(f16(c21)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))),
inference(resolve,[status(thm)],[c_2017,c_48]) ).
cnf(c_2011,plain,
$false,
inference(resolve,[status(thm)],[c_1033,c_2018]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN600-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 18:17:21 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 1089728 was started by sandbox on n018,
% 0.09/0.36 % Sat Sep 26 18:17:21 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.36
% 0.09/0.36 % From the command line: assign(max_seconds, 300).
% 125.37/16.69
% 125.37/16.69 % SZS status Unsatisfiable for theBenchmark
% 125.37/16.69
% 125.37/16.69 % Proof 1 at 0.17 (+ 0.09) seconds.
% 125.37/16.69 % Length of proof is 20.
% 125.37/16.69 % Level of proof is 5.
% 125.37/16.69 % Maximum clause weight is 91.000.
% 125.37/16.69 % Given clauses 94.
% 125.37/16.69
% 125.37/16.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------