%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN645-1 : 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 : n016.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 09:39:01 AM UTC 2026
% Result : Unsatisfiable 0.15s 10.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 18 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 101 ( 54 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-5 aty)
% Number of variables : 51 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p12_1,axiom,
! [VAR_0] : p12(VAR_0,VAR_0),
file('theBenchmark.p',p12_1) ).
cnf(c_1,plain,
p12(A,A),
inference(clausify,[status(thm)],[p12_1]) ).
fof(p22_7,axiom,
p22(f3(f4(f5(c26))),c27),
file('theBenchmark.p',p22_7) ).
cnf(c_7,plain,
p22(f3(f4(f5(c26))),c27),
inference(clausify,[status(thm)],[p22_7]) ).
fof(p23_9,axiom,
p23(c28,f8(f10(c29,f11(c27,c30)))),
file('theBenchmark.p',p23_9) ).
cnf(c_9,plain,
p23(c28,f8(f10(c29,f11(c27,c30)))),
inference(clausify,[status(thm)],[p23_9]) ).
fof(p12_16,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p12(VAR_2,VAR_1)
| ~ p12(VAR_2,VAR_0)
| p12(VAR_0,VAR_1) ),
file('theBenchmark.p',p12_16) ).
cnf(c_16,plain,
( ~ p12(C,B)
| ~ p12(C,A)
| p12(A,B) ),
inference(clausify,[status(thm)],[p12_16]) ).
fof(not_p12_22,axiom,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
file('theBenchmark.p',not_p12_22) ).
cnf(c_22,plain,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
inference(clausify,[status(thm)],[not_p12_22]) ).
fof(p25_23,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p12(VAR_3,VAR_0)
| ~ p25(VAR_3,VAR_2)
| ~ p12(VAR_2,VAR_1)
| p25(VAR_0,VAR_1) ),
file('theBenchmark.p',p25_23) ).
cnf(c_23,plain,
( ~ p12(D,A)
| ~ p25(D,C)
| ~ p12(C,B)
| p25(A,B) ),
inference(clausify,[status(thm)],[p25_23]) ).
fof(f17_is_not_p24_32,axiom,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
file('theBenchmark.p',f17_is_not_p24_32) ).
cnf(c_32,plain,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
inference(clausify,[status(thm)],[f17_is_not_p24_32]) ).
fof(p12_33,axiom,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
file('theBenchmark.p',p12_33) ).
cnf(c_33,plain,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
inference(clausify,[status(thm)],[p12_33]) ).
fof(p25_37,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ p23(VAR_4,f8(f10(VAR_1,f11(VAR_2,VAR_3))))
| ~ p22(f3(f4(f5(c26))),VAR_2)
| p25(f13(f14(VAR_0,f16(f10(VAR_1,f11(VAR_2,VAR_3)),c32,VAR_0))),f13(f14(VAR_0,VAR_4))) ),
file('theBenchmark.p',p25_37) ).
cnf(c_37,plain,
( ~ p23(E,f8(f10(B,f11(C,D))))
| ~ p22(f3(f4(f5(c26))),C)
| p25(f13(f14(A,f16(f10(B,f11(C,D)),c32,A))),f13(f14(A,E))) ),
inference(clausify,[status(thm)],[p25_37]) ).
fof(p12_41,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ p23(VAR_0,f8(f10(VAR_1,f11(VAR_2,VAR_3))))
| ~ p22(f3(f4(f5(c26))),VAR_2)
| p24(f17(f10(VAR_1,f11(VAR_2,VAR_3)),f16(f10(VAR_1,f11(VAR_2,VAR_3)),c32,VAR_4)))
| p23(f21(VAR_1,VAR_2,VAR_3,VAR_4,VAR_0),f8(f10(VAR_1,f11(VAR_2,VAR_3))))
| p12(VAR_0,f16(f10(VAR_1,f11(VAR_2,VAR_3)),c32,VAR_4)) ),
file('theBenchmark.p',p12_41) ).
cnf(c_41,plain,
( ~ p23(A,f8(f10(B,f11(C,D))))
| ~ p22(f3(f4(f5(c26))),C)
| p24(f17(f10(B,f11(C,D)),f16(f10(B,f11(C,D)),c32,E)))
| p23(f21(B,C,D,E,A),f8(f10(B,f11(C,D))))
| p12(A,f16(f10(B,f11(C,D)),c32,E)) ),
inference(clausify,[status(thm)],[p12_41]) ).
fof(p12_42,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ p25(f13(f14(VAR_4,VAR_0)),f13(f14(VAR_4,f21(VAR_1,VAR_2,VAR_3,VAR_4,VAR_0))))
| ~ p23(VAR_0,f8(f10(VAR_1,f11(VAR_2,VAR_3))))
| ~ p22(f3(f4(f5(c26))),VAR_2)
| p24(f17(f10(VAR_1,f11(VAR_2,VAR_3)),f16(f10(VAR_1,f11(VAR_2,VAR_3)),c32,VAR_4)))
| p12(VAR_0,f16(f10(VAR_1,f11(VAR_2,VAR_3)),c32,VAR_4)) ),
file('theBenchmark.p',p12_42) ).
cnf(c_42,plain,
( ~ p25(f13(f14(E,A)),f13(f14(E,f21(B,C,D,E,A))))
| ~ p23(A,f8(f10(B,f11(C,D))))
| ~ p22(f3(f4(f5(c26))),C)
| p24(f17(f10(B,f11(C,D)),f16(f10(B,f11(C,D)),c32,E)))
| p12(A,f16(f10(B,f11(C,D)),c32,E)) ),
inference(clausify,[status(thm)],[p12_42]) ).
cnf(c_57,plain,
( ~ p12(B,A)
| p12(A,B) ),
inference(resolve,[status(thm)],[c_16,c_1]) ).
cnf(c_190,plain,
( ~ p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28))))
| ~ p23(c28,f8(f10(c29,f11(c27,c30))))
| ~ p22(f3(f4(f5(c26))),c27)
| p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))) ),
inference(resolve,[status(thm)],[c_42,c_22]) ).
cnf(c_191,plain,
( ~ p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28))))
| ~ p23(c28,f8(f10(c29,f11(c27,c30))))
| ~ p22(f3(f4(f5(c26))),c27) ),
inference(resolve,[status(thm)],[c_190,c_32]) ).
cnf(c_192,plain,
( ~ p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28))))
| ~ p23(c28,f8(f10(c29,f11(c27,c30)))) ),
inference(resolve,[status(thm)],[c_191,c_7]) ).
cnf(c_100,plain,
~ p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
inference(resolve,[status(thm)],[c_192,c_9]) ).
cnf(c_111,plain,
p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28))),
inference(resolve,[status(thm)],[c_57,c_33]) ).
cnf(c_193,plain,
( ~ p12(B,f13(f14(c31,c28)))
| ~ p25(B,A)
| ~ p12(A,f13(f14(c31,f21(c29,c27,c30,c31,c28)))) ),
inference(resolve,[status(thm)],[c_23,c_100]) ).
cnf(c_194,plain,
( ~ p12(A,f13(f14(c31,c28)))
| ~ p25(A,f13(f14(c31,f21(c29,c27,c30,c31,c28)))) ),
inference(resolve,[status(thm)],[c_193,c_1]) ).
cnf(c_144,plain,
~ p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
inference(resolve,[status(thm)],[c_194,c_111]) ).
cnf(c_195,plain,
( ~ p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30))))
| ~ p22(f3(f4(f5(c26))),c27) ),
inference(resolve,[status(thm)],[c_37,c_144]) ).
cnf(c_186,plain,
~ p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))),
inference(resolve,[status(thm)],[c_195,c_7]) ).
cnf(c_196,plain,
( ~ p23(c28,f8(f10(c29,f11(c27,c30))))
| ~ p22(f3(f4(f5(c26))),c27)
| p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31)))
| p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))) ),
inference(resolve,[status(thm)],[c_41,c_22]) ).
cnf(c_197,plain,
( ~ p23(c28,f8(f10(c29,f11(c27,c30))))
| ~ p22(f3(f4(f5(c26))),c27)
| p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))) ),
inference(resolve,[status(thm)],[c_196,c_186]) ).
cnf(c_198,plain,
( ~ p23(c28,f8(f10(c29,f11(c27,c30))))
| ~ p22(f3(f4(f5(c26))),c27) ),
inference(resolve,[status(thm)],[c_197,c_32]) ).
cnf(c_199,plain,
~ p22(f3(f4(f5(c26))),c27),
inference(resolve,[status(thm)],[c_198,c_9]) ).
cnf(c_189,plain,
$false,
inference(resolve,[status(thm)],[c_7,c_199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN645-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.39 % Computer : n016.cluster.edu
% 0.10/10.39 % Model : x86_64 x86_64
% 0.10/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39 % Memory : 8046.5625MB
% 0.10/10.39 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Sat Sep 26 18:23:12 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/10.39 % Process 1458028 was started by sandbox2 on n016,
% 0.10/10.39 % Sat Sep 26 18:23:12 2026
% 0.10/10.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/10.40
% 0.15/10.40 % From the command line: assign(max_seconds, 300).
% 0.15/10.46
% 0.15/10.46 % SZS status Unsatisfiable for theBenchmark
% 0.15/10.46
% 0.15/10.46 % Proof 1 at 0.03 (+ 0.02) seconds.
% 0.15/10.46 % Length of proof is 17.
% 0.15/10.46 % Level of proof is 5.
% 0.15/10.46 % Maximum clause weight is 53.000.
% 0.15/10.46 % Given clauses 91.
% 0.15/10.46
% 0.15/10.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------