%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN650-1 : 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 : n012.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 09:39:02 AM UTC 2026
% Result : Unsatisfiable 1.64s 0.55s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 21 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 106 ( 56 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-5 aty)
% Number of variables : 62 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p8_2,axiom,
! [VAR_0] : p8(VAR_0,VAR_0),
file('theBenchmark.p',p8_2) ).
cnf(c_2,plain,
p8(A,A),
inference(clausify,[status(thm)],[p8_2]) ).
fof(p22_8,axiom,
p22(f3(f4(f5(c26))),c27),
file('theBenchmark.p',p22_8) ).
cnf(c_8,plain,
p22(f3(f4(f5(c26))),c27),
inference(clausify,[status(thm)],[p22_8]) ).
fof(p24_10,axiom,
p24(c33,f20(f11(c29,f12(c27,c30)))),
file('theBenchmark.p',p24_10) ).
cnf(c_10,plain,
p24(c33,f20(f11(c29,f12(c27,c30)))),
inference(clausify,[status(thm)],[p24_10]) ).
fof(p8_18,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p8(VAR_2,VAR_1)
| ~ p8(VAR_2,VAR_0)
| p8(VAR_0,VAR_1) ),
file('theBenchmark.p',p8_18) ).
cnf(c_18,plain,
( ~ p8(C,B)
| ~ p8(C,A)
| p8(A,B) ),
inference(clausify,[status(thm)],[p8_18]) ).
fof(not_p8_24,axiom,
~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)),
file('theBenchmark.p',not_p8_24) ).
cnf(c_24,plain,
~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)),
inference(clausify,[status(thm)],[not_p8_24]) ).
fof(p25_25,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p25(VAR_2,VAR_3)
| ~ p8(VAR_3,VAR_1)
| ~ p8(VAR_2,VAR_0)
| p25(VAR_0,VAR_1) ),
file('theBenchmark.p',p25_25) ).
cnf(c_25,plain,
( ~ p25(C,D)
| ~ p8(D,B)
| ~ p8(C,A)
| p25(A,B) ),
inference(clausify,[status(thm)],[p25_25]) ).
fof(f18_is_not_p23_34,axiom,
~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
file('theBenchmark.p',f18_is_not_p23_34) ).
cnf(c_34,plain,
~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
inference(clausify,[status(thm)],[f18_is_not_p23_34]) ).
fof(p8_35,axiom,
p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
file('theBenchmark.p',p8_35) ).
cnf(c_35,plain,
p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
inference(clausify,[status(thm)],[p8_35]) ).
fof(p8_38,axiom,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
file('theBenchmark.p',p8_38) ).
cnf(c_38,plain,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
inference(clausify,[status(thm)],[p8_38]) ).
fof(p25_40,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ p24(VAR_4,f20(f11(VAR_1,f12(VAR_2,VAR_3))))
| ~ p22(f3(f4(f5(c26))),VAR_2)
| p25(f16(f17(VAR_0,f9(f11(VAR_1,f12(VAR_2,VAR_3)),c31,VAR_0))),f16(f17(VAR_0,VAR_4))) ),
file('theBenchmark.p',p25_40) ).
cnf(c_40,plain,
( ~ p24(E,f20(f11(B,f12(C,D))))
| ~ p22(f3(f4(f5(c26))),C)
| p25(f16(f17(A,f9(f11(B,f12(C,D)),c31,A))),f16(f17(A,E))) ),
inference(clausify,[status(thm)],[p25_40]) ).
fof(p8_44,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ p24(VAR_0,f20(f11(VAR_1,f12(VAR_2,VAR_3))))
| ~ p22(f3(f4(f5(c26))),VAR_2)
| p23(f18(f11(VAR_1,f12(VAR_2,VAR_3)),f9(f11(VAR_1,f12(VAR_2,VAR_3)),c31,VAR_4)))
| p24(f21(VAR_1,VAR_2,VAR_3,VAR_4,VAR_0),f20(f11(VAR_1,f12(VAR_2,VAR_3))))
| p8(VAR_0,f9(f11(VAR_1,f12(VAR_2,VAR_3)),c31,VAR_4)) ),
file('theBenchmark.p',p8_44) ).
cnf(c_44,plain,
( ~ p24(A,f20(f11(B,f12(C,D))))
| ~ p22(f3(f4(f5(c26))),C)
| p23(f18(f11(B,f12(C,D)),f9(f11(B,f12(C,D)),c31,E)))
| p24(f21(B,C,D,E,A),f20(f11(B,f12(C,D))))
| p8(A,f9(f11(B,f12(C,D)),c31,E)) ),
inference(clausify,[status(thm)],[p8_44]) ).
fof(p8_45,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ p25(f16(f17(VAR_4,VAR_0)),f16(f17(VAR_4,f21(VAR_1,VAR_2,VAR_3,VAR_4,VAR_0))))
| ~ p24(VAR_0,f20(f11(VAR_1,f12(VAR_2,VAR_3))))
| ~ p22(f3(f4(f5(c26))),VAR_2)
| p23(f18(f11(VAR_1,f12(VAR_2,VAR_3)),f9(f11(VAR_1,f12(VAR_2,VAR_3)),c31,VAR_4)))
| p8(VAR_0,f9(f11(VAR_1,f12(VAR_2,VAR_3)),c31,VAR_4)) ),
file('theBenchmark.p',p8_45) ).
cnf(c_45,plain,
( ~ p25(f16(f17(E,A)),f16(f17(E,f21(B,C,D,E,A))))
| ~ p24(A,f20(f11(B,f12(C,D))))
| ~ p22(f3(f4(f5(c26))),C)
| p23(f18(f11(B,f12(C,D)),f9(f11(B,f12(C,D)),c31,E)))
| p8(A,f9(f11(B,f12(C,D)),c31,E)) ),
inference(clausify,[status(thm)],[p8_45]) ).
cnf(c_61,plain,
( ~ p8(B,A)
| p8(A,B) ),
inference(resolve,[status(thm)],[c_18,c_2]) ).
cnf(c_115,plain,
( ~ p24(D,f20(f11(B,f12(c27,C))))
| p25(f16(f17(A,f9(f11(B,f12(c27,C)),c31,A))),f16(f17(A,D))) ),
inference(resolve,[status(thm)],[c_40,c_8]) ).
cnf(c_118,plain,
( ~ p24(A,f20(f11(B,f12(c27,C))))
| p23(f18(f11(B,f12(c27,C)),f9(f11(B,f12(c27,C)),c31,D)))
| p24(f21(B,c27,C,D,A),f20(f11(B,f12(c27,C))))
| p8(A,f9(f11(B,f12(c27,C)),c31,D)) ),
inference(resolve,[status(thm)],[c_44,c_8]) ).
cnf(c_1219,plain,
( ~ p25(f16(f17(c32,c33)),f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| ~ p24(c33,f20(f11(c29,f12(c27,c30))))
| ~ p22(f3(f4(f5(c26))),c27)
| p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))) ),
inference(resolve,[status(thm)],[c_45,c_24]) ).
cnf(c_1220,plain,
( ~ p25(f16(f17(c32,c33)),f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| ~ p24(c33,f20(f11(c29,f12(c27,c30))))
| ~ p22(f3(f4(f5(c26))),c27) ),
inference(resolve,[status(thm)],[c_1219,c_34]) ).
cnf(c_1221,plain,
( ~ p25(f16(f17(c32,c33)),f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| ~ p24(c33,f20(f11(c29,f12(c27,c30)))) ),
inference(resolve,[status(thm)],[c_1220,c_8]) ).
cnf(c_119,plain,
~ p25(f16(f17(c32,c33)),f16(f17(c32,f21(c29,c27,c30,c32,c33)))),
inference(resolve,[status(thm)],[c_1221,c_10]) ).
cnf(c_135,plain,
p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,c33))),
inference(resolve,[status(thm)],[c_61,c_35]) ).
cnf(c_1222,plain,
( ~ p25(A,B)
| ~ p8(B,f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| ~ p8(A,f16(f17(c32,c33))) ),
inference(resolve,[status(thm)],[c_25,c_119]) ).
cnf(c_1223,plain,
( ~ p25(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),A)
| ~ p8(A,f16(f17(c32,f21(c29,c27,c30,c32,c33)))) ),
inference(resolve,[status(thm)],[c_1222,c_135]) ).
cnf(c_1178,plain,
~ p25(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,f21(c29,c27,c30,c32,c33)))),
inference(resolve,[status(thm)],[c_1223,c_2]) ).
cnf(c_1224,plain,
( ~ p25(A,B)
| ~ p8(B,f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| ~ p8(A,f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))) ),
inference(resolve,[status(thm)],[c_25,c_1178]) ).
cnf(c_1225,plain,
( ~ p25(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),A)
| ~ p8(A,f16(f17(c32,f21(c29,c27,c30,c32,c33)))) ),
inference(resolve,[status(thm)],[c_1224,c_38]) ).
cnf(c_1213,plain,
~ p25(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,f21(c29,c27,c30,c32,c33)))),
inference(resolve,[status(thm)],[c_1225,c_2]) ).
cnf(c_1214,plain,
~ p24(f21(c29,c27,c30,c32,c33),f20(f11(c29,f12(c27,c30)))),
inference(resolve,[status(thm)],[c_115,c_1213]) ).
cnf(c_1226,plain,
( ~ p24(c33,f20(f11(c29,f12(c27,c30))))
| p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))
| p24(f21(c29,c27,c30,c32,c33),f20(f11(c29,f12(c27,c30)))) ),
inference(resolve,[status(thm)],[c_118,c_24]) ).
cnf(c_1227,plain,
( ~ p24(c33,f20(f11(c29,f12(c27,c30))))
| p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))) ),
inference(resolve,[status(thm)],[c_1226,c_1214]) ).
cnf(c_1228,plain,
~ p24(c33,f20(f11(c29,f12(c27,c30)))),
inference(resolve,[status(thm)],[c_1227,c_34]) ).
cnf(c_1218,plain,
$false,
inference(resolve,[status(thm)],[c_10,c_1228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN650-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sat Sep 26 18:18:19 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.30 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.02/0.30 % Process 1228579 was started by sandbox2 on n012,
% 0.02/0.30 % Sat Sep 26 18:18:19 2026
% 0.02/0.30 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.02/0.30
% 0.02/0.30 % From the command line: assign(max_seconds, 300).
% 1.64/0.55
% 1.64/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.64/0.55
% 1.64/0.55 % Proof 1 at 0.22 (+ 0.02) seconds.
% 1.64/0.55 % Length of proof is 21.
% 1.64/0.55 % Level of proof is 6.
% 1.64/0.55 % Maximum clause weight is 78.000.
% 1.64/0.55 % Given clauses 187.
% 1.64/0.55
% 1.64/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------