%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN595-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 03:16:53 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.70s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 33 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X10] : p2(X10,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X27] : p7(X27,X27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X4,X5] :
( ~ p14(X4,X5)
| p15(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X0,X1,X2,X3] :
( ~ p14(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p14(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X48,X46,X47] :
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X47,f6(f3(f4(f5(c17))),c16))
| ~ p14(X46,f3(f4(f5(c17))))
| ~ p2(X48,f3(c17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f29,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f32,plain,
p14(c18,f3(f4(f5(c17)))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f33,plain,
! [X0,X1] :
( ~ p14(X0,X1)
| p15(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f35,plain,
p14(c19,f6(f3(f4(f5(c17))),c16)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f46,plain,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f47,plain,
! [X2,X3] :
( ~ p14(X2,X3)
| ! [X1] :
( ~ p2(X3,X1)
| ! [X0] :
( ~ p2(X2,X0)
| p14(X0,X1) ) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ~ p14(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p14(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X0),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X2,f6(f3(f4(f5(c17))),c16))
| ~ p14(X1,f3(f4(f5(c17))))
| ~ p2(X0,f3(c17)) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f73,plain,
! [X0,X1] :
( ~ p2(f6(f3(f4(f5(c17))),c16),X1)
| ~ p2(c19,X0)
| p14(X0,X1) ),
inference(resolution,[status(thm)],[f35,f48]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ p14(X2,f6(f3(f4(f5(c17))),c16))
| ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X0),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(X1,f3(f4(f5(c17))))
| ~ p2(X0,f3(c17)) ),
inference(resolution,[status(thm)],[f62,f33]) ).
fof(f107,plain,
! [X0] :
( ~ p2(c19,X0)
| p14(X0,f6(f3(f4(f5(c17))),c16)) ),
inference(resolution,[status(thm)],[f73,f28]) ).
fof(f118,plain,
! [X0,X1] :
( ~ p14(X1,f6(f3(f4(f5(c17))),c16))
| ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),X0),f9(f11(X1),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p2(X0,f3(c17)) ),
inference(resolution,[status(thm)],[f100,f32]) ).
fof(f195,plain,
( ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| ~ p2(f3(c17),f3(c17)) ),
inference(resolution,[status(thm)],[f118,f29]) ).
fof(f197,plain,
~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16)),
inference(forward_subsumption_resolution,[status(thm)],[f195,f28]) ).
fof(f391,plain,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(resolution,[status(thm)],[f197,f107]) ).
fof(f393,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f391,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN595-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n009.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 11:09:27 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.70 % Refutation found
% 0.18/0.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.72 % Elapsed time: 0.272664 seconds
% 0.24/0.72 % CPU time: 1.909136 seconds
% 0.24/0.72 % Total memory used: 36.222 MB
% 0.24/0.72 % Net memory used: 32.997 MB
%------------------------------------------------------------------------------