%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN630-1 : 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 : 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 09:38:59 AM UTC 2026
% Result : Unsatisfiable 0.09s 5.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 34 ( 20 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 20 ( 5 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p21_5,axiom,
p21(c28,f9(f10(f11(c29)))),
file('theBenchmark.p',p21_5) ).
cnf(c_5,plain,
p21(c28,f9(f10(f11(c29)))),
inference(clausify,[status(thm)],[p21_5]) ).
fof(p21_6,axiom,
p21(c27,f12(f9(f10(f11(c29))),c24)),
file('theBenchmark.p',p21_6) ).
cnf(c_6,plain,
p21(c27,f12(f9(f10(f11(c29))),c24)),
inference(clausify,[status(thm)],[p21_6]) ).
fof(not_p4_12,axiom,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
file('theBenchmark.p',not_p4_12) ).
cnf(c_12,plain,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
inference(clausify,[status(thm)],[not_p4_12]) ).
fof(p22_17,axiom,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
file('theBenchmark.p',p22_17) ).
cnf(c_17,plain,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
inference(clausify,[status(thm)],[p22_17]) ).
fof(p3_30,axiom,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
file('theBenchmark.p',p3_30) ).
cnf(c_30,plain,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
inference(clausify,[status(thm)],[p3_30]) ).
fof(p4_34,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6] :
( ~ p3(VAR_3,f13(f15(f17(f16(f9(f11(c29)))),VAR_5),f13(f15(f16(f9(f10(f11(c29)))),VAR_6),f14(f16(VAR_4),f15(f16(f9(f10(f11(c29)))),VAR_2)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(VAR_1,f9(f11(c29)))),VAR_4)
| ~ p21(VAR_4,f12(f9(f10(f11(c29))),VAR_1))
| ~ p21(VAR_5,f9(f10(f11(c29))))
| p4(f5(f7(VAR_0,f8(VAR_1,VAR_2)),VAR_3),VAR_4) ),
file('theBenchmark.p',p4_34) ).
cnf(c_34,plain,
( ~ p3(D,f13(f15(f17(f16(f9(f11(c29)))),F),f13(f15(f16(f9(f10(f11(c29)))),V6),f14(f16(E),f15(f16(f9(f10(f11(c29)))),C)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(B,f9(f11(c29)))),E)
| ~ p21(E,f12(f9(f10(f11(c29))),B))
| ~ p21(F,f9(f10(f11(c29))))
| p4(f5(f7(A,f8(B,C)),D),E) ),
inference(clausify,[status(thm)],[p4_34]) ).
cnf(c_85,plain,
( ~ p3(c26,f13(f15(f17(f16(f9(f11(c29)))),A),f13(f15(f16(f9(f10(f11(c29)))),B),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27)
| ~ p21(c27,f12(f9(f10(f11(c29))),c24))
| ~ p21(A,f9(f10(f11(c29)))) ),
inference(resolve,[status(thm)],[c_34,c_12]) ).
cnf(c_86,plain,
( ~ p3(c26,f13(f15(f17(f16(f9(f11(c29)))),A),f13(f15(f16(f9(f10(f11(c29)))),B),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27)
| ~ p21(A,f9(f10(f11(c29)))) ),
inference(resolve,[status(thm)],[c_85,c_6]) ).
cnf(c_87,plain,
( ~ p3(c26,f13(f15(f17(f16(f9(f11(c29)))),A),f13(f15(f16(f9(f10(f11(c29)))),B),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25)))))
| ~ p21(A,f9(f10(f11(c29)))) ),
inference(resolve,[status(thm)],[c_86,c_17]) ).
cnf(c_88,plain,
~ p21(c28,f9(f10(f11(c29)))),
inference(resolve,[status(thm)],[c_87,c_30]) ).
cnf(c_84,plain,
$false,
inference(resolve,[status(thm)],[c_5,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN630-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n014.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 18:17:38 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.38 % Process 3819363 was started by sandbox2 on n014,
% 0.09/5.38 % Sat Sep 26 18:17:38 2026
% 0.09/5.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/5.38
% 0.09/5.38 % From the command line: assign(max_seconds, 300).
% 0.09/5.40
% 0.09/5.40 % SZS status Unsatisfiable for theBenchmark
% 0.09/5.40
% 0.09/5.40 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.09/5.40 % Length of proof is 7.
% 0.09/5.40 % Level of proof is 1.
% 0.09/5.40 % Maximum clause weight is 63.000.
% 0.09/5.40 % Given clauses 34.
% 0.09/5.40
% 0.09/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------