%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN705-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 : Thu Sep 24 03:17:07 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 16 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 11 con; 0-2 aty)
% Number of variables : 88 ( 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X162] : p7(X162,X162),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X38] : p2(X38,X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
! [X151,X152,X153,X154] :
( ~ p4(X153,X151)
| ~ p7(X154,X152)
| ~ p47(X153,X154)
| p47(X151,X152) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [X126,X127,X128,X129] :
( ~ p3(X127,X129)
| ~ p2(X126,X128)
| p4(f5(X126,X127),f5(X128,X129)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
! [X147,X148,X149,X150] :
( ~ p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148)
| p47(X147,X148) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
! [X65,X69,X66,X67,X68] :
( ~ p47(f20(f22(f24(f26(c56,X65),X66),X67),X68),X69)
| p47(X65,X69) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
! [X147,X149,X150,X148] :
( ~ p47(X147,X148)
| p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
! [X65,X66,X67,X68] : p3(f8(f10(c49,f13(f16(f18(c50,X65),X66),X67)),X68),f13(f16(f18(c50,f20(f22(f24(f26(c56,X65),X66),X67),X68)),f30(f32(f34(f36(c57,X65),X66),X67),X68)),f40(f42(f44(f46(c58,X65),X66),X67),X68))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f156,plain,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f158,plain,
! [X151,X153] :
( ~ p4(X153,X151)
| ! [X152,X154] :
( ~ p7(X154,X152)
| ~ p47(X153,X154)
| p47(X151,X152) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ~ p4(X2,X0)
| ~ p7(X3,X1)
| ~ p47(X2,X3)
| p47(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f168,plain,
! [X127,X129] :
( ~ p3(X127,X129)
| ! [X126,X128] :
( ~ p2(X126,X128)
| p4(f5(X126,X127),f5(X128,X129)) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f200,plain,
! [X147,X148] :
( ! [X149,X150] : ~ p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148)
| p47(X147,X148) ),
inference(miniscoping,[status(thm)],[f74]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( ~ p47(f5(c48,f13(f16(f18(c50,X0),X2),X3)),X1)
| p47(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f202,plain,
! [X65,X69] :
( ! [X66,X67,X68] : ~ p47(f20(f22(f24(f26(c56,X65),X66),X67),X68),X69)
| p47(X65,X69) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4] :
( ~ p47(f20(f22(f24(f26(c56,X0),X2),X3),X4),X1)
| p47(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
! [X147,X148] :
( ~ p47(X147,X148)
| ! [X149,X150] : p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( ~ p47(X0,X3)
| p47(f5(c48,f13(f16(f18(c50,X0),X1),X2)),X3) ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f209,plain,
! [X0,X1,X2,X3] : p3(f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3),f13(f16(f18(c50,f20(f22(f24(f26(c56,X0),X1),X2),X3)),f30(f32(f34(f36(c57,X0),X1),X2),X3)),f40(f42(f44(f46(c58,X0),X1),X2),X3))),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f243,plain,
! [X0,X1,X2] :
( ~ p3(X1,X2)
| p4(f5(X0,X1),f5(X0,X2)) ),
inference(resolution,[status(thm)],[f169,f100]) ).
fof(f276,plain,
! [X0,X1] :
( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0)
| ~ p7(c55,X1)
| p47(X0,X1) ),
inference(resolution,[status(thm)],[f206,f159]) ).
fof(f277,plain,
! [X0] :
( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0)
| p47(X0,c55) ),
inference(resolution,[status(thm)],[f276,f83]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4] : p4(f5(X0,f8(f10(c49,f13(f16(f18(c50,X1),X2),X3)),X4)),f5(X0,f13(f16(f18(c50,f20(f22(f24(f26(c56,X1),X2),X3),X4)),f30(f32(f34(f36(c57,X1),X2),X3),X4)),f40(f42(f44(f46(c58,X1),X2),X3),X4)))),
inference(resolution,[status(thm)],[f209,f243]) ).
fof(f298,plain,
p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55),
inference(resolution,[status(thm)],[f283,f277]) ).
fof(f307,plain,
p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55),
inference(resolution,[status(thm)],[f298,f201]) ).
fof(f312,plain,
p47(c51,c55),
inference(resolution,[status(thm)],[f307,f203]) ).
fof(f317,plain,
! [X0,X1] : p47(f5(c48,f13(f16(f18(c50,c51),X0),X1)),c55),
inference(resolution,[status(thm)],[f312,f205]) ).
fof(f324,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f156,f317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN705-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:14:59 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.040656 seconds
% 0.14/0.41 % CPU time: 0.098736 seconds
% 0.14/0.41 % Total memory used: 14.200 MB
% 0.14/0.41 % Net memory used: 14.150 MB
%------------------------------------------------------------------------------