%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN598-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 39 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
p18(c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X34] : p7(X34,X34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p3(f4(f6(c21)),c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X4,X5,X6,X7] :
( ~ p19(X6,X7)
| ~ p7(X7,X5)
| ~ p7(X6,X4)
| p19(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X41,X42,X43,X44] :
( ~ p7(X41,X43)
| ~ p3(X42,X44)
| p7(f11(X41,X42),f11(X43,X44)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X37,X38,X39,X40] :
( ~ p7(X37,X39)
| ~ p7(X38,X40)
| p7(f10(X37,X38),f10(X39,X40)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
~ p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X8] :
( ~ p18(X8)
| p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X8))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,plain,
p18(c21),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f32,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f36,plain,
p3(f4(f6(c21)),c22),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f56,plain,
! [X6,X7] :
( ~ p19(X6,X7)
| ! [X5] :
( ~ p7(X7,X5)
| ! [X4] :
( ~ p7(X6,X4)
| p19(X4,X5) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( ~ p19(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p19(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f60,plain,
! [X41,X43] :
( ~ p7(X41,X43)
| ! [X42,X44] :
( ~ p3(X42,X44)
| p7(f11(X41,X42),f11(X43,X44)) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( ~ p7(X0,X2)
| ~ p3(X1,X3)
| p7(f11(X0,X1),f11(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
! [X37,X39] :
( ~ p7(X37,X39)
| ! [X38,X40] :
( ~ p7(X38,X40)
| p7(f10(X37,X38),f10(X39,X40)) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( ~ p7(X0,X2)
| ~ p7(X1,X3)
| p7(f10(X0,X1),f10(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
~ p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f65,plain,
! [X0] :
( ~ p18(X0)
| p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X0))) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ p7(f8(f9(X0)),X2)
| ~ p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),X1)
| p19(X1,X2)
| ~ p18(X0) ),
inference(resolution,[status(thm)],[f65,f57]) ).
fof(f69,plain,
! [X0,X1] :
( ~ p7(f8(f9(c21)),X1)
| ~ p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),X0)
| p19(X0,X1) ),
inference(resolution,[status(thm)],[f67,f31]) ).
fof(f71,plain,
( ~ p7(f8(f9(c21)),f8(f9(c21)))
| ~ p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))) ),
inference(resolution,[status(thm)],[f69,f64]) ).
fof(f73,plain,
~ p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))),
inference(forward_subsumption_resolution,[status(thm)],[f71,f32]) ).
fof(f78,plain,
( ~ p7(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),c22))
| ~ p7(f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))) ),
inference(resolution,[status(thm)],[f73,f63]) ).
fof(f80,plain,
~ p7(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),c22)),
inference(forward_subsumption_resolution,[status(thm)],[f78,f32]) ).
fof(f83,plain,
( ~ p7(f14(f12(f15(f13(c23)))),f14(f12(f15(f13(c23)))))
| ~ p3(f4(f6(c21)),c22) ),
inference(resolution,[status(thm)],[f80,f61]) ).
fof(f85,plain,
~ p7(f14(f12(f15(f13(c23)))),f14(f12(f15(f13(c23))))),
inference(forward_subsumption_resolution,[status(thm)],[f83,f36]) ).
fof(f88,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f85,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN598-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:09:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.44 % Elapsed time: 0.073321 seconds
% 0.13/0.44 % CPU time: 0.210676 seconds
% 0.13/0.44 % Total memory used: 48.436 MB
% 0.13/0.44 % Net memory used: 48.167 MB
%------------------------------------------------------------------------------