%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN645-1 : 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 03:17:00 PM UTC 2026
% Result : Unsatisfiable 17.46s 2.68s
% Output : CNFRefutation 17.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 54 ( 16 unt; 4 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 223 ( 102 ~; 117 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-5 aty)
% Number of variables : 134 ( 134 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X1,X2,X0] :
( ~ p12(X0,X2)
| ~ p12(X0,X1)
| p12(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X66,X67,X69,X68] :
( ~ p12(X68,X66)
| ~ p25(X68,X69)
| ~ p12(X69,X67)
| p25(X66,X67) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X7,X4,X5,X6,X3] :
( ~ p23(X3,f8(f10(X4,f11(X5,X6))))
| ~ p22(f3(f4(f5(c26))),X5)
| p25(f13(f14(X7,f16(f10(X4,f11(X5,X6)),c32,X7))),f13(f14(X7,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [X3,X4,X5,X6,X7] :
( ~ p23(X3,f8(f10(X4,f11(X5,X6))))
| ~ p22(f3(f4(f5(c26))),X5)
| p24(f17(f10(X4,f11(X5,X6)),f16(f10(X4,f11(X5,X6)),c32,X7)))
| p23(f21(X4,X5,X6,X7,X3),f8(f10(X4,f11(X5,X6))))
| p12(X3,f16(f10(X4,f11(X5,X6)),c32,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [X3,X4,X5,X6,X7] :
( ~ p25(f13(f14(X7,X3)),f13(f14(X7,f21(X4,X5,X6,X7,X3))))
| ~ p23(X3,f8(f10(X4,f11(X5,X6))))
| ~ p22(f3(f4(f5(c26))),X5)
| p24(f17(f10(X4,f11(X5,X6)),f16(f10(X4,f11(X5,X6)),c32,X7)))
| p12(X3,f16(f10(X4,f11(X5,X6)),c32,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,plain,
! [X0] : p12(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f49,plain,
p22(f3(f4(f5(c26))),c27),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f51,plain,
p23(c28,f8(f10(c29,f11(c27,c30)))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f58,plain,
! [X2,X0] :
( ~ p12(X0,X2)
| ! [X1] :
( ~ p12(X0,X1)
| p12(X1,X2) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f70,plain,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f71,plain,
! [X66,X68] :
( ~ p12(X68,X66)
| ! [X69] :
( ~ p25(X68,X69)
| ! [X67] :
( ~ p12(X69,X67)
| p25(X66,X67) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ~ p12(X3,X0)
| ~ p25(X3,X2)
| ~ p12(X2,X1)
| p25(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f89,plain,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f90,plain,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f97,plain,
! [X4,X5,X6,X3] :
( ~ p23(X3,f8(f10(X4,f11(X5,X6))))
| ~ p22(f3(f4(f5(c26))),X5)
| ! [X7] : p25(f13(f14(X7,f16(f10(X4,f11(X5,X6)),c32,X7))),f13(f14(X7,X3))) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4] :
( ~ p23(X4,f8(f10(X1,f11(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2)
| p25(f13(f14(X0,f16(f10(X1,f11(X2,X3)),c32,X0))),f13(f14(X0,X4))) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f104,plain,
! [X3,X4,X5,X6] :
( ~ p23(X3,f8(f10(X4,f11(X5,X6))))
| ~ p22(f3(f4(f5(c26))),X5)
| ! [X7] :
( p24(f17(f10(X4,f11(X5,X6)),f16(f10(X4,f11(X5,X6)),c32,X7)))
| p23(f21(X4,X5,X6,X7,X3),f8(f10(X4,f11(X5,X6))))
| p12(X3,f16(f10(X4,f11(X5,X6)),c32,X7)) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4] :
( ~ p23(X0,f8(f10(X1,f11(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2)
| p24(f17(f10(X1,f11(X2,X3)),f16(f10(X1,f11(X2,X3)),c32,X4)))
| p23(f21(X1,X2,X3,X4,X0),f8(f10(X1,f11(X2,X3))))
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4)) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4] :
( ~ p25(f13(f14(X4,X0)),f13(f14(X4,f21(X1,X2,X3,X4,X0))))
| ~ p23(X0,f8(f10(X1,f11(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2)
| p24(f17(f10(X1,f11(X2,X3)),f16(f10(X1,f11(X2,X3)),c32,X4)))
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4)) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p12(f13(f14(X6,f16(f10(X2,f11(X0,X3)),c32,X6))),X4)
| ~ p12(f13(f14(X6,X1)),X5)
| p25(X4,X5)
| ~ p23(X1,f8(f10(X2,f11(X0,X3))))
| ~ p22(f3(f4(f5(c26))),X0) ),
inference(resolution,[status(thm)],[f98,f72]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p12(f13(f14(X5,f16(f10(X1,f11(c27,X2)),c32,X5))),X3)
| ~ p12(f13(f14(X5,X0)),X4)
| p25(X3,X4)
| ~ p23(X0,f8(f10(X1,f11(c27,X2)))) ),
inference(resolution,[status(thm)],[f122,f49]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ p23(X8,f8(f10(X5,f11(X6,X7))))
| ~ p22(f3(f4(f5(c26))),X6)
| p24(f17(f10(X5,f11(X6,X7)),f16(f10(X5,f11(X6,X7)),c32,X4)))
| p12(X8,f16(f10(X5,f11(X6,X7)),c32,X4))
| ~ p12(f13(f14(X3,f16(f10(X1,f11(c27,X2)),c32,X3))),f13(f14(X4,X8)))
| ~ p12(f13(f14(X3,X0)),f13(f14(X4,f21(X5,X6,X7,X4,X8))))
| ~ p23(X0,f8(f10(X1,f11(c27,X2)))) ),
inference(resolution,[status(thm)],[f149,f106]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ p23(X7,f8(f10(X5,f11(c27,X6))))
| p24(f17(f10(X5,f11(c27,X6)),f16(f10(X5,f11(c27,X6)),c32,X4)))
| p12(X7,f16(f10(X5,f11(c27,X6)),c32,X4))
| ~ p12(f13(f14(X3,f16(f10(X1,f11(c27,X2)),c32,X3))),f13(f14(X4,X7)))
| ~ p12(f13(f14(X3,X0)),f13(f14(X4,f21(X5,c27,X6,X4,X7))))
| ~ p23(X0,f8(f10(X1,f11(c27,X2)))) ),
inference(resolution,[status(thm)],[f161,f49]) ).
fof(f220,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ p12(X8,f13(f14(X4,X7)))
| ~ p12(X8,f13(f14(X3,f16(f10(X1,f11(c27,X2)),c32,X3))))
| ~ p23(X7,f8(f10(X5,f11(c27,X6))))
| p24(f17(f10(X5,f11(c27,X6)),f16(f10(X5,f11(c27,X6)),c32,X4)))
| p12(X7,f16(f10(X5,f11(c27,X6)),c32,X4))
| ~ p12(f13(f14(X3,X0)),f13(f14(X4,f21(X5,c27,X6,X4,X7))))
| ~ p23(X0,f8(f10(X1,f11(c27,X2)))) ),
inference(resolution,[status(thm)],[f183,f59]) ).
fof(f333,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p12(X6,f13(f14(X2,X3)))
| ~ p12(X6,f13(f14(X2,f16(f10(X4,f11(c27,X5)),c32,X2))))
| ~ p23(X3,f8(f10(X0,f11(c27,X1))))
| p24(f17(f10(X0,f11(c27,X1)),f16(f10(X0,f11(c27,X1)),c32,X2)))
| p12(X3,f16(f10(X0,f11(c27,X1)),c32,X2))
| ~ p23(f21(X0,c27,X1,X2,X3),f8(f10(X4,f11(c27,X5)))) ),
inference(resolution,[status(thm)],[f220,f43]) ).
fof(f336,plain,
! [X0,X1,X2,X3,X4] :
( ~ p23(X0,f8(f10(X1,f11(c27,X2))))
| ~ p22(f3(f4(f5(c26))),c27)
| p24(f17(f10(X1,f11(c27,X2)),f16(f10(X1,f11(c27,X2)),c32,X3)))
| p12(X0,f16(f10(X1,f11(c27,X2)),c32,X3))
| ~ p12(X4,f13(f14(X3,X0)))
| ~ p12(X4,f13(f14(X3,f16(f10(X1,f11(c27,X2)),c32,X3))))
| ~ p23(X0,f8(f10(X1,f11(c27,X2))))
| p24(f17(f10(X1,f11(c27,X2)),f16(f10(X1,f11(c27,X2)),c32,X3)))
| p12(X0,f16(f10(X1,f11(c27,X2)),c32,X3)) ),
inference(resolution,[status(thm)],[f333,f105]) ).
fof(f338,definition,
! [X0,X1,X2,X3,X4] :
( sQ5_spl
<=> ( ~ p23(X0,f8(f10(X1,f11(c27,X2))))
| p24(f17(f10(X1,f11(c27,X2)),f16(f10(X1,f11(c27,X2)),c32,X3)))
| p12(X0,f16(f10(X1,f11(c27,X2)),c32,X3))
| ~ p12(X4,f13(f14(X3,X0)))
| ~ p12(X4,f13(f14(X3,f16(f10(X1,f11(c27,X2)),c32,X3))))
| ~ p23(X0,f8(f10(X1,f11(c27,X2))))
| p24(f17(f10(X1,f11(c27,X2)),f16(f10(X1,f11(c27,X2)),c32,X3)))
| p12(X0,f16(f10(X1,f11(c27,X2)),c32,X3)) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f339,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ5_spl
| ~ p23(X0,f8(f10(X1,f11(c27,X2))))
| p24(f17(f10(X1,f11(c27,X2)),f16(f10(X1,f11(c27,X2)),c32,X3)))
| p12(X0,f16(f10(X1,f11(c27,X2)),c32,X3))
| ~ p12(X4,f13(f14(X3,X0)))
| ~ p12(X4,f13(f14(X3,f16(f10(X1,f11(c27,X2)),c32,X3))))
| ~ p23(X0,f8(f10(X1,f11(c27,X2))))
| p24(f17(f10(X1,f11(c27,X2)),f16(f10(X1,f11(c27,X2)),c32,X3)))
| p12(X0,f16(f10(X1,f11(c27,X2)),c32,X3)) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,definition,
( sQ6_spl
<=> p22(f3(f4(f5(c26))),c27) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( sQ6_spl
| ~ p22(f3(f4(f5(c26))),c27) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( ~ sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f336,f338,f341]) ).
fof(f345,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ5_spl
| ~ p12(X4,f13(f14(X3,X0)))
| ~ p12(X4,f13(f14(X3,f16(f10(X1,f11(c27,X2)),c32,X3))))
| ~ p23(X0,f8(f10(X1,f11(c27,X2))))
| p24(f17(f10(X1,f11(c27,X2)),f16(f10(X1,f11(c27,X2)),c32,X3)))
| p12(X0,f16(f10(X1,f11(c27,X2)),c32,X3)) ),
inference(duplicate_literals_removal,[status(thm)],[f339]) ).
fof(f355,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ p12(X1,f13(f14(c31,X0)))
| ~ p12(X1,f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))
| ~ p23(X0,f8(f10(c29,f11(c27,c30))))
| p12(X0,f16(f10(c29,f11(c27,c30)),c32,c31)) ),
inference(resolution,[status(thm)],[f345,f89]) ).
fof(f367,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f343,f49]) ).
fof(f368,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f367]) ).
fof(f371,plain,
! [X0] :
( ~ sQ5_spl
| ~ p12(X0,f13(f14(c31,c28)))
| ~ p12(X0,f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)) ),
inference(resolution,[status(thm)],[f355,f51]) ).
fof(f381,definition,
( sQ13_spl
<=> p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( ~ sQ13_spl
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,definition,
! [X0] :
( sQ14_spl
<=> ( ~ p12(X0,f13(f14(c31,c28)))
| ~ p12(X0,f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f385,plain,
! [X0] :
( ~ sQ14_spl
| ~ p12(X0,f13(f14(c31,c28)))
| ~ p12(X0,f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( ~ sQ5_spl
| sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f371,f381,f384,f338]) ).
fof(f388,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f382,f70]) ).
fof(f389,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f388]) ).
fof(f392,plain,
( ~ sQ14_spl
| ~ p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))) ),
inference(resolution,[status(thm)],[f385,f43]) ).
fof(f393,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f392,f90]) ).
fof(f394,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f393]) ).
fof(f395,plain,
$false,
inference(sat_refutation,[status(thm)],[f344,f368,f387,f389,f394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN645-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:11:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 17.46/2.68 % Refutation found
% 17.46/2.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 17.46/2.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.80/2.71 % Elapsed time: 2.347013 seconds
% 1.80/2.71 % CPU time: 18.240448 seconds
% 1.80/2.71 % Total memory used: 136.763 MB
% 1.80/2.71 % Net memory used: 105.625 MB
%------------------------------------------------------------------------------