%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MSC007-2.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:28:14 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 112
% Syntax : Number of formulae : 489 ( 91 unt; 83 def)
% Number of atoms : 1421 ( 290 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1760 ( 828 ~; 849 |; 0 &)
% ( 83 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 88 ( 86 usr; 84 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-1 aty)
% Number of variables : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
pigeon(pigeon_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
pigeon(pigeon_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
pigeon(pigeon_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
pigeon(pigeon_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
pigeon(pigeon_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
pigeon_1 != pigeon_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
pigeon_1 != pigeon_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
pigeon_1 != pigeon_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
pigeon_1 != pigeon_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
pigeon_2 != pigeon_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
pigeon_2 != pigeon_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
pigeon_2 != pigeon_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
pigeon_3 != pigeon_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
pigeon_3 != pigeon_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
pigeon_4 != pigeon_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
hole(hole_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
hole(hole_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
hole(hole_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
hole(hole_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
hole_1 != hole_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
hole_1 != hole_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
hole_1 != hole_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
hole_2 != hole_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
hole_2 != hole_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
hole_3 != hole_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [Hole] :
( Hole = hole_4
| Hole = hole_3
| Hole = hole_2
| Hole = hole_1
| ~ hole(Hole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] :
( hole(hole_of(X))
| ~ pigeon(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] :
( in(X,hole_of(X))
| ~ pigeon(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [Hole,Pigeon1,Pigeon2] :
( Pigeon1 = Pigeon2
| ~ in(Pigeon2,Hole)
| ~ in(Pigeon1,Hole)
| ~ pigeon(Pigeon2)
| ~ pigeon(Pigeon1)
| ~ hole(Hole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,plain,
pigeon(pigeon_1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f38,plain,
pigeon(pigeon_2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f39,plain,
pigeon(pigeon_3),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f40,plain,
pigeon(pigeon_4),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f41,plain,
pigeon(pigeon_5),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f42,plain,
pigeon_1 != pigeon_2,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f43,plain,
pigeon_1 != pigeon_3,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f44,plain,
pigeon_1 != pigeon_4,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f45,plain,
pigeon_1 != pigeon_5,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f46,plain,
pigeon_2 != pigeon_3,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f47,plain,
pigeon_2 != pigeon_4,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f48,plain,
pigeon_2 != pigeon_5,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f49,plain,
pigeon_3 != pigeon_4,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f50,plain,
pigeon_3 != pigeon_5,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f51,plain,
pigeon_4 != pigeon_5,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f52,plain,
hole(hole_1),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f53,plain,
hole(hole_2),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f54,plain,
hole(hole_3),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f55,plain,
hole(hole_4),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f56,plain,
hole_1 != hole_2,
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f57,plain,
hole_1 != hole_3,
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f58,plain,
hole_1 != hole_4,
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f59,plain,
hole_2 != hole_3,
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f60,plain,
hole_2 != hole_4,
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f61,plain,
hole_3 != hole_4,
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f62,plain,
! [X0] :
( X0 = hole_4
| X0 = hole_3
| X0 = hole_2
| X0 = hole_1
| ~ hole(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f63,plain,
! [X0] :
( hole(hole_of(X0))
| ~ pigeon(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f64,plain,
! [X0] :
( in(X0,hole_of(X0))
| ~ pigeon(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f65,plain,
! [Pigeon1,Pigeon2] :
( Pigeon1 = Pigeon2
| ! [Hole] :
( ~ in(Pigeon2,Hole)
| ~ in(Pigeon1,Hole)
| ~ pigeon(Pigeon2)
| ~ pigeon(Pigeon1)
| ~ hole(Hole) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f66,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ in(X2,X0)
| ~ in(X1,X0)
| ~ pigeon(X2)
| ~ pigeon(X1)
| ~ hole(X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
hole(hole_of(pigeon_5)),
inference(resolution,[status(thm)],[f63,f41]) ).
fof(f68,plain,
hole(hole_of(pigeon_4)),
inference(resolution,[status(thm)],[f63,f40]) ).
fof(f69,plain,
hole(hole_of(pigeon_3)),
inference(resolution,[status(thm)],[f63,f39]) ).
fof(f70,plain,
hole(hole_of(pigeon_2)),
inference(resolution,[status(thm)],[f63,f38]) ).
fof(f71,plain,
hole(hole_of(pigeon_1)),
inference(resolution,[status(thm)],[f63,f37]) ).
fof(f72,plain,
in(pigeon_5,hole_of(pigeon_5)),
inference(resolution,[status(thm)],[f64,f41]) ).
fof(f73,plain,
in(pigeon_4,hole_of(pigeon_4)),
inference(resolution,[status(thm)],[f64,f40]) ).
fof(f74,plain,
in(pigeon_3,hole_of(pigeon_3)),
inference(resolution,[status(thm)],[f64,f39]) ).
fof(f75,plain,
in(pigeon_2,hole_of(pigeon_2)),
inference(resolution,[status(thm)],[f64,f38]) ).
fof(f76,plain,
in(pigeon_1,hole_of(pigeon_1)),
inference(resolution,[status(thm)],[f64,f37]) ).
fof(f77,plain,
( hole_of(pigeon_1) = hole_4
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_1 ),
inference(resolution,[status(thm)],[f62,f71]) ).
fof(f78,plain,
( hole_of(pigeon_2) = hole_4
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_1 ),
inference(resolution,[status(thm)],[f62,f70]) ).
fof(f79,plain,
( hole_of(pigeon_3) = hole_4
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_1 ),
inference(resolution,[status(thm)],[f62,f69]) ).
fof(f80,plain,
( hole_of(pigeon_4) = hole_4
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_1 ),
inference(resolution,[status(thm)],[f62,f68]) ).
fof(f81,plain,
( hole_of(pigeon_5) = hole_4
| hole_of(pigeon_5) = hole_3
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_5) = hole_1 ),
inference(resolution,[status(thm)],[f62,f67]) ).
fof(f82,plain,
( hole_4 = hole_4
| hole_4 = hole_3
| hole_4 = hole_2
| hole_4 = hole_1 ),
inference(resolution,[status(thm)],[f62,f55]) ).
fof(f83,plain,
( hole_3 = hole_4
| hole_3 = hole_3
| hole_3 = hole_2
| hole_3 = hole_1 ),
inference(resolution,[status(thm)],[f62,f54]) ).
fof(f84,plain,
( hole_2 = hole_4
| hole_2 = hole_3
| hole_2 = hole_2
| hole_2 = hole_1 ),
inference(resolution,[status(thm)],[f62,f53]) ).
fof(f85,plain,
( hole_1 = hole_4
| hole_1 = hole_3
| hole_1 = hole_2
| hole_1 = hole_1 ),
inference(resolution,[status(thm)],[f62,f52]) ).
fof(f86,definition,
( sQ0_spl
<=> hole_of(pigeon_1) = hole_1 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( ~ sQ0_spl
| hole_of(pigeon_1) = hole_1 ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,definition,
( sQ1_spl
<=> hole_of(pigeon_1) = hole_2 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ1_spl
| hole_of(pigeon_1) = hole_2 ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,definition,
( sQ2_spl
<=> hole_of(pigeon_1) = hole_3 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( ~ sQ2_spl
| hole_of(pigeon_1) = hole_3 ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,definition,
( sQ3_spl
<=> hole_of(pigeon_1) = hole_4 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ3_spl
| hole_of(pigeon_1) = hole_4 ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f77,f86,f89,f92,f95]) ).
fof(f99,definition,
( sQ4_spl
<=> hole_of(pigeon_2) = hole_1 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( ~ sQ4_spl
| hole_of(pigeon_2) = hole_1 ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,definition,
( sQ5_spl
<=> hole_of(pigeon_2) = hole_2 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ5_spl
| hole_of(pigeon_2) = hole_2 ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,definition,
( sQ6_spl
<=> hole_of(pigeon_2) = hole_3 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ6_spl
| hole_of(pigeon_2) = hole_3 ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,definition,
( sQ7_spl
<=> hole_of(pigeon_2) = hole_4 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ7_spl
| hole_of(pigeon_2) = hole_4 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f78,f99,f102,f105,f108]) ).
fof(f112,definition,
( sQ8_spl
<=> hole_of(pigeon_3) = hole_1 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ8_spl
| hole_of(pigeon_3) = hole_1 ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,definition,
( sQ9_spl
<=> hole_of(pigeon_3) = hole_2 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ9_spl
| hole_of(pigeon_3) = hole_2 ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
( sQ10_spl
<=> hole_of(pigeon_3) = hole_3 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ10_spl
| hole_of(pigeon_3) = hole_3 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ11_spl
<=> hole_of(pigeon_3) = hole_4 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ11_spl
| hole_of(pigeon_3) = hole_4 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f79,f112,f115,f118,f121]) ).
fof(f125,definition,
( sQ12_spl
<=> hole_of(pigeon_4) = hole_1 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ12_spl
| hole_of(pigeon_4) = hole_1 ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,definition,
( sQ13_spl
<=> hole_of(pigeon_4) = hole_2 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( ~ sQ13_spl
| hole_of(pigeon_4) = hole_2 ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,definition,
( sQ14_spl
<=> hole_of(pigeon_4) = hole_3 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( ~ sQ14_spl
| hole_of(pigeon_4) = hole_3 ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,definition,
( sQ15_spl
<=> hole_of(pigeon_4) = hole_4 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ15_spl
| hole_of(pigeon_4) = hole_4 ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f80,f125,f128,f131,f134]) ).
fof(f138,definition,
( sQ16_spl
<=> hole_of(pigeon_5) = hole_1 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ16_spl
| hole_of(pigeon_5) = hole_1 ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,definition,
( sQ17_spl
<=> hole_of(pigeon_5) = hole_2 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ17_spl
| hole_of(pigeon_5) = hole_2 ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
( sQ18_spl
<=> hole_of(pigeon_5) = hole_3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ18_spl
| hole_of(pigeon_5) = hole_3 ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,definition,
( sQ19_spl
<=> hole_of(pigeon_5) = hole_4 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ19_spl
| hole_of(pigeon_5) = hole_4 ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f81,f138,f141,f144,f147]) ).
fof(f151,definition,
( sQ20_spl
<=> hole_4 = hole_1 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( ~ sQ20_spl
| hole_4 = hole_1 ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,definition,
( sQ21_spl
<=> hole_4 = hole_2 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ21_spl
| hole_4 = hole_2 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,definition,
( sQ22_spl
<=> hole_4 = hole_3 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ22_spl
| hole_4 = hole_3 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
( sQ23_spl
<=> hole_4 = hole_4 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f82,f151,f154,f157,f160]) ).
fof(f164,definition,
( sQ24_spl
<=> hole_3 = hole_1 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ24_spl
| hole_3 = hole_1 ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
( sQ25_spl
<=> hole_3 = hole_2 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ25_spl
| hole_3 = hole_2 ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,definition,
( sQ26_spl
<=> hole_3 = hole_3 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( sQ22_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f83,f164,f167,f170,f157]) ).
fof(f174,definition,
( sQ27_spl
<=> hole_2 = hole_1 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ27_spl
| hole_2 = hole_1 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ28_spl
<=> hole_2 = hole_2 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( sQ21_spl
| sQ25_spl
| sQ28_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f84,f174,f177,f167,f154]) ).
fof(f181,definition,
( sQ29_spl
<=> hole_1 = hole_1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( sQ20_spl
| sQ24_spl
| sQ27_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f85,f181,f174,f164,f151]) ).
fof(f185,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f58]) ).
fof(f186,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f185]) ).
fof(f187,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f165,f57]) ).
fof(f188,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f187]) ).
fof(f189,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f175,f56]) ).
fof(f190,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f189]) ).
fof(f191,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f155,f60]) ).
fof(f192,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f168,f59]) ).
fof(f194,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f193]) ).
fof(f195,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f158,f61]) ).
fof(f196,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f195]) ).
fof(f197,plain,
! [X0] :
( X0 = pigeon_5
| ~ in(X0,hole_of(pigeon_5))
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| ~ hole(hole_of(pigeon_5)) ),
inference(resolution,[status(thm)],[f72,f66]) ).
fof(f198,definition,
( sQ30_spl
<=> hole(hole_of(pigeon_5)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( sQ30_spl
| ~ hole(hole_of(pigeon_5)) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,definition,
! [X0] :
( sQ31_spl
<=> ( X0 = pigeon_5
| ~ in(X0,hole_of(pigeon_5))
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f202,plain,
! [X0] :
( ~ sQ31_spl
| X0 = pigeon_5
| ~ in(X0,hole_of(pigeon_5))
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,definition,
( sQ32_spl
<=> pigeon(pigeon_5) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( sQ32_spl
| ~ pigeon(pigeon_5) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( ~ sQ32_spl
| sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f197,f198,f201,f204]) ).
fof(f208,plain,
( sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f206,f41]) ).
fof(f209,plain,
sQ32_spl,
inference(contradiction_clause,[status(thm)],[f208]) ).
fof(f210,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f200,f67]) ).
fof(f211,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f210]) ).
fof(f212,plain,
! [X0] :
( X0 = pigeon_4
| ~ in(X0,hole_of(pigeon_4))
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| ~ hole(hole_of(pigeon_4)) ),
inference(resolution,[status(thm)],[f73,f66]) ).
fof(f213,definition,
( sQ33_spl
<=> hole(hole_of(pigeon_4)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( sQ33_spl
| ~ hole(hole_of(pigeon_4)) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
! [X0] :
( sQ34_spl
<=> ( X0 = pigeon_4
| ~ in(X0,hole_of(pigeon_4))
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f217,plain,
! [X0] :
( ~ sQ34_spl
| X0 = pigeon_4
| ~ in(X0,hole_of(pigeon_4))
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,definition,
( sQ35_spl
<=> pigeon(pigeon_4) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( sQ35_spl
| ~ pigeon(pigeon_4) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,plain,
( ~ sQ35_spl
| sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f212,f213,f216,f219]) ).
fof(f223,plain,
( sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f221,f40]) ).
fof(f224,plain,
sQ35_spl,
inference(contradiction_clause,[status(thm)],[f223]) ).
fof(f225,plain,
( sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f215,f68]) ).
fof(f226,plain,
sQ33_spl,
inference(contradiction_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( ~ sQ31_spl
| pigeon_5 = pigeon_5
| ~ pigeon(pigeon_5) ),
inference(resolution,[status(thm)],[f202,f72]) ).
fof(f228,definition,
( sQ36_spl
<=> pigeon_5 = pigeon_5 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ31_spl
| sQ36_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f227,f204,f228,f201]) ).
fof(f232,plain,
( ~ sQ34_spl
| pigeon_4 = pigeon_4
| ~ pigeon(pigeon_4) ),
inference(resolution,[status(thm)],[f217,f73]) ).
fof(f233,definition,
( sQ37_spl
<=> pigeon_4 = pigeon_4 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ34_spl
| sQ37_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f232,f219,f233,f216]) ).
fof(f237,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ19_spl
| X0 = pigeon_5
| ~ in(X0,hole_4)
| ~ pigeon(X0) ),
inference(backward_demodulation,[status(thm)],[f148,f202]) ).
fof(f238,plain,
( ~ sQ19_spl
| in(pigeon_5,hole_4) ),
inference(backward_demodulation,[status(thm)],[f148,f72]) ).
fof(f247,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ15_spl
| X0 = pigeon_4
| ~ in(X0,hole_4)
| ~ pigeon(X0) ),
inference(backward_demodulation,[status(thm)],[f135,f217]) ).
fof(f248,plain,
( ~ sQ15_spl
| in(pigeon_4,hole_4) ),
inference(backward_demodulation,[status(thm)],[f135,f73]) ).
fof(f250,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| hole_4 = hole_3 ),
inference(forward_demodulation,[status(thm)],[f135,f132]) ).
fof(f251,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f250,f61]) ).
fof(f252,plain,
( ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f251]) ).
fof(f253,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ13_spl
| X0 = pigeon_4
| ~ in(X0,hole_2)
| ~ pigeon(X0) ),
inference(backward_demodulation,[status(thm)],[f129,f217]) ).
fof(f254,plain,
! [X0] :
( X0 = pigeon_3
| ~ in(X0,hole_of(pigeon_3))
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| ~ hole(hole_of(pigeon_3)) ),
inference(resolution,[status(thm)],[f74,f66]) ).
fof(f255,definition,
( sQ38_spl
<=> hole(hole_of(pigeon_3)) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( sQ38_spl
| ~ hole(hole_of(pigeon_3)) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
! [X0] :
( sQ39_spl
<=> ( X0 = pigeon_3
| ~ in(X0,hole_of(pigeon_3))
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f259,plain,
! [X0] :
( ~ sQ39_spl
| X0 = pigeon_3
| ~ in(X0,hole_of(pigeon_3))
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,definition,
( sQ40_spl
<=> pigeon(pigeon_3) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( sQ40_spl
| ~ pigeon(pigeon_3) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,plain,
( ~ sQ40_spl
| sQ39_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f254,f255,f258,f261]) ).
fof(f265,plain,
( sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f263,f39]) ).
fof(f266,plain,
sQ40_spl,
inference(contradiction_clause,[status(thm)],[f265]) ).
fof(f267,plain,
( sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f257,f69]) ).
fof(f268,plain,
sQ38_spl,
inference(contradiction_clause,[status(thm)],[f267]) ).
fof(f269,plain,
( ~ sQ39_spl
| pigeon_3 = pigeon_3
| ~ pigeon(pigeon_3) ),
inference(resolution,[status(thm)],[f259,f74]) ).
fof(f270,definition,
( sQ41_spl
<=> pigeon_3 = pigeon_3 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ39_spl
| sQ41_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f269,f261,f270,f258]) ).
fof(f274,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| hole_2 = hole_1 ),
inference(forward_demodulation,[status(thm)],[f129,f126]) ).
fof(f275,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f274,f56]) ).
fof(f276,plain,
( ~ sQ12_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( ~ sQ11_spl
| in(pigeon_3,hole_4) ),
inference(backward_demodulation,[status(thm)],[f122,f74]) ).
fof(f280,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| hole_4 = hole_3 ),
inference(forward_demodulation,[status(thm)],[f122,f119]) ).
fof(f281,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f61]) ).
fof(f282,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f281]) ).
fof(f283,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| hole_2 = hole_1 ),
inference(forward_demodulation,[status(thm)],[f116,f113]) ).
fof(f284,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f283,f56]) ).
fof(f285,plain,
( ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f284]) ).
fof(f290,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| hole_2 = hole_1 ),
inference(forward_demodulation,[status(thm)],[f103,f100]) ).
fof(f291,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f290,f56]) ).
fof(f292,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f291]) ).
fof(f302,plain,
! [X0] :
( X0 = pigeon_2
| ~ in(X0,hole_of(pigeon_2))
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| ~ hole(hole_of(pigeon_2)) ),
inference(resolution,[status(thm)],[f75,f66]) ).
fof(f303,definition,
( sQ42_spl
<=> hole(hole_of(pigeon_2)) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( sQ42_spl
| ~ hole(hole_of(pigeon_2)) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,definition,
! [X0] :
( sQ43_spl
<=> ( X0 = pigeon_2
| ~ in(X0,hole_of(pigeon_2))
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f307,plain,
! [X0] :
( ~ sQ43_spl
| X0 = pigeon_2
| ~ in(X0,hole_of(pigeon_2))
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,definition,
( sQ44_spl
<=> pigeon(pigeon_2) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( sQ44_spl
| ~ pigeon(pigeon_2) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( ~ sQ44_spl
| sQ43_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f302,f303,f306,f309]) ).
fof(f313,plain,
( sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f38]) ).
fof(f314,plain,
sQ44_spl,
inference(contradiction_clause,[status(thm)],[f313]) ).
fof(f315,plain,
( ~ sQ3_spl
| in(pigeon_1,hole_4) ),
inference(forward_demodulation,[status(thm)],[f96,f76]) ).
fof(f316,plain,
! [X0] :
( ~ sQ3_spl
| X0 = pigeon_1
| ~ in(X0,hole_4)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| ~ hole(hole_4) ),
inference(resolution,[status(thm)],[f315,f66]) ).
fof(f317,definition,
( sQ45_spl
<=> hole(hole_4) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( sQ45_spl
| ~ hole(hole_4) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
! [X0] :
( sQ46_spl
<=> ( X0 = pigeon_1
| ~ in(X0,hole_4)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f321,plain,
! [X0] :
( ~ sQ46_spl
| X0 = pigeon_1
| ~ in(X0,hole_4)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ47_spl
<=> pigeon(pigeon_1) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( sQ47_spl
| ~ pigeon(pigeon_1) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( ~ sQ3_spl
| ~ sQ47_spl
| sQ46_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f316,f317,f320,f323,f95]) ).
fof(f327,plain,
( sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f325,f37]) ).
fof(f328,plain,
sQ47_spl,
inference(contradiction_clause,[status(thm)],[f327]) ).
fof(f329,plain,
( sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f319,f55]) ).
fof(f330,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f329]) ).
fof(f331,plain,
( ~ sQ16_spl
| in(pigeon_5,hole_1) ),
inference(forward_demodulation,[status(thm)],[f139,f72]) ).
fof(f332,plain,
! [X0] :
( ~ sQ16_spl
| X0 = pigeon_5
| ~ in(X0,hole_1)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| ~ hole(hole_1) ),
inference(resolution,[status(thm)],[f331,f66]) ).
fof(f333,definition,
( sQ48_spl
<=> hole(hole_1) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( sQ48_spl
| ~ hole(hole_1) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
! [X0] :
( sQ49_spl
<=> ( X0 = pigeon_5
| ~ in(X0,hole_1)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f337,plain,
! [X0] :
( ~ sQ49_spl
| X0 = pigeon_5
| ~ in(X0,hole_1)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( ~ sQ16_spl
| ~ sQ32_spl
| sQ49_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f332,f333,f336,f204,f138]) ).
fof(f340,plain,
( sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f335,f52]) ).
fof(f341,plain,
sQ48_spl,
inference(contradiction_clause,[status(thm)],[f340]) ).
fof(f342,plain,
( ~ sQ43_spl
| pigeon_2 = pigeon_2
| ~ pigeon(pigeon_2) ),
inference(resolution,[status(thm)],[f307,f75]) ).
fof(f343,definition,
( sQ50_spl
<=> pigeon_2 = pigeon_2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ43_spl
| sQ50_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f342,f309,f343,f306]) ).
fof(f355,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ8_spl
| X0 = pigeon_3
| ~ in(X0,hole_1)
| ~ pigeon(X0) ),
inference(backward_demodulation,[status(thm)],[f113,f259]) ).
fof(f356,plain,
( ~ sQ12_spl
| in(pigeon_4,hole_1) ),
inference(forward_demodulation,[status(thm)],[f126,f73]) ).
fof(f357,plain,
( ~ sQ39_spl
| ~ sQ8_spl
| ~ sQ12_spl
| pigeon_4 = pigeon_3
| ~ pigeon(pigeon_4) ),
inference(resolution,[status(thm)],[f356,f355]) ).
fof(f359,plain,
( ~ sQ49_spl
| ~ sQ12_spl
| pigeon_4 = pigeon_5
| ~ pigeon(pigeon_4) ),
inference(resolution,[status(thm)],[f356,f337]) ).
fof(f360,plain,
! [X0] :
( ~ sQ12_spl
| X0 = pigeon_4
| ~ in(X0,hole_1)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| ~ hole(hole_1) ),
inference(resolution,[status(thm)],[f356,f66]) ).
fof(f361,definition,
( sQ51_spl
<=> pigeon_4 = pigeon_3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ51_spl
| pigeon_4 = pigeon_3 ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( ~ sQ39_spl
| ~ sQ8_spl
| ~ sQ12_spl
| sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f357,f219,f361,f125,f112,f258]) ).
fof(f366,definition,
( sQ52_spl
<=> pigeon_4 = pigeon_5 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ52_spl
| pigeon_4 = pigeon_5 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( ~ sQ49_spl
| ~ sQ12_spl
| sQ52_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f359,f219,f366,f125,f336]) ).
fof(f370,definition,
! [X0] :
( sQ53_spl
<=> ( X0 = pigeon_4
| ~ in(X0,hole_1)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f371,plain,
! [X0] :
( ~ sQ53_spl
| X0 = pigeon_4
| ~ in(X0,hole_1)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( ~ sQ12_spl
| ~ sQ35_spl
| sQ53_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f360,f333,f370,f219,f125]) ).
fof(f374,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f367,f51]) ).
fof(f375,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f374]) ).
fof(f376,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f362,f49]) ).
fof(f377,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f70,f305]) ).
fof(f379,plain,
sQ42_spl,
inference(contradiction_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( ~ sQ4_spl
| in(pigeon_2,hole_1) ),
inference(backward_demodulation,[status(thm)],[f100,f75]) ).
fof(f396,plain,
( ~ sQ2_spl
| in(pigeon_1,hole_3) ),
inference(forward_demodulation,[status(thm)],[f93,f76]) ).
fof(f397,plain,
! [X0] :
( ~ sQ2_spl
| X0 = pigeon_1
| ~ in(X0,hole_3)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| ~ hole(hole_3) ),
inference(resolution,[status(thm)],[f396,f66]) ).
fof(f398,definition,
( sQ54_spl
<=> hole(hole_3) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( sQ54_spl
| ~ hole(hole_3) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
! [X0] :
( sQ55_spl
<=> ( X0 = pigeon_1
| ~ in(X0,hole_3)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f402,plain,
! [X0] :
( ~ sQ55_spl
| X0 = pigeon_1
| ~ in(X0,hole_3)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( ~ sQ2_spl
| ~ sQ47_spl
| sQ55_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f397,f398,f401,f323,f92]) ).
fof(f405,plain,
( sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f400,f54]) ).
fof(f406,plain,
sQ54_spl,
inference(contradiction_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( ~ sQ17_spl
| in(pigeon_5,hole_2) ),
inference(forward_demodulation,[status(thm)],[f142,f72]) ).
fof(f409,plain,
! [X0] :
( ~ sQ17_spl
| X0 = pigeon_5
| ~ in(X0,hole_2)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| ~ hole(hole_2) ),
inference(resolution,[status(thm)],[f407,f66]) ).
fof(f411,definition,
( sQ56_spl
<=> hole(hole_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( sQ56_spl
| ~ hole(hole_2) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
! [X0] :
( sQ57_spl
<=> ( X0 = pigeon_5
| ~ in(X0,hole_2)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f415,plain,
! [X0] :
( ~ sQ57_spl
| X0 = pigeon_5
| ~ in(X0,hole_2)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( ~ sQ17_spl
| ~ sQ32_spl
| sQ57_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f409,f411,f414,f204,f141]) ).
fof(f418,plain,
( sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f413,f53]) ).
fof(f419,plain,
sQ56_spl,
inference(contradiction_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( ~ sQ17_spl
| ~ sQ34_spl
| ~ sQ13_spl
| pigeon_5 = pigeon_4
| ~ pigeon(pigeon_5) ),
inference(resolution,[status(thm)],[f253,f407]) ).
fof(f422,plain,
( ~ sQ17_spl
| ~ sQ34_spl
| ~ sQ13_spl
| sQ52_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f421,f204,f366,f128,f216,f141]) ).
fof(f425,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ4_spl
| X0 = pigeon_2
| ~ in(X0,hole_1)
| ~ pigeon(X0) ),
inference(forward_demodulation,[status(thm)],[f100,f307]) ).
fof(f427,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ9_spl
| X0 = pigeon_3
| ~ in(X0,hole_2)
| ~ pigeon(X0) ),
inference(backward_demodulation,[status(thm)],[f116,f259]) ).
fof(f428,plain,
( ~ sQ9_spl
| in(pigeon_3,hole_2) ),
inference(backward_demodulation,[status(thm)],[f116,f74]) ).
fof(f437,plain,
( ~ sQ53_spl
| ~ sQ4_spl
| pigeon_2 = pigeon_4
| ~ pigeon(pigeon_2) ),
inference(resolution,[status(thm)],[f381,f371]) ).
fof(f438,plain,
! [X0] :
( ~ sQ4_spl
| X0 = pigeon_2
| ~ in(X0,hole_1)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| ~ hole(hole_1) ),
inference(resolution,[status(thm)],[f381,f66]) ).
fof(f440,definition,
( sQ58_spl
<=> pigeon_2 = pigeon_4 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ58_spl
| pigeon_2 = pigeon_4 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( ~ sQ53_spl
| ~ sQ4_spl
| sQ58_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f437,f309,f440,f99,f370]) ).
fof(f444,definition,
! [X0] :
( sQ59_spl
<=> ( X0 = pigeon_2
| ~ in(X0,hole_1)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f445,plain,
! [X0] :
( ~ sQ59_spl
| X0 = pigeon_2
| ~ in(X0,hole_1)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( ~ sQ4_spl
| ~ sQ44_spl
| sQ59_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f438,f333,f444,f309,f99]) ).
fof(f448,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f441,f47]) ).
fof(f449,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f448]) ).
fof(f452,plain,
( ~ sQ13_spl
| in(pigeon_4,hole_2) ),
inference(forward_demodulation,[status(thm)],[f129,f73]) ).
fof(f453,plain,
( ~ sQ39_spl
| ~ sQ9_spl
| ~ sQ13_spl
| pigeon_4 = pigeon_3
| ~ pigeon(pigeon_4) ),
inference(resolution,[status(thm)],[f452,f427]) ).
fof(f454,plain,
( ~ sQ57_spl
| ~ sQ13_spl
| pigeon_4 = pigeon_5
| ~ pigeon(pigeon_4) ),
inference(resolution,[status(thm)],[f452,f415]) ).
fof(f456,plain,
! [X0] :
( ~ sQ13_spl
| X0 = pigeon_4
| ~ in(X0,hole_2)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| ~ hole(hole_2) ),
inference(resolution,[status(thm)],[f452,f66]) ).
fof(f457,plain,
( ~ sQ39_spl
| ~ sQ9_spl
| ~ sQ13_spl
| sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f453,f219,f361,f128,f115,f258]) ).
fof(f458,plain,
( ~ sQ57_spl
| ~ sQ13_spl
| sQ52_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f454,f219,f366,f128,f414]) ).
fof(f460,definition,
! [X0] :
( sQ60_spl
<=> ( X0 = pigeon_4
| ~ in(X0,hole_2)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f461,plain,
! [X0] :
( ~ sQ60_spl
| X0 = pigeon_4
| ~ in(X0,hole_2)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( ~ sQ13_spl
| ~ sQ35_spl
| sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f456,f411,f460,f219,f128]) ).
fof(f478,plain,
( ~ sQ1_spl
| in(pigeon_1,hole_2) ),
inference(forward_demodulation,[status(thm)],[f90,f76]) ).
fof(f479,plain,
! [X0] :
( ~ sQ1_spl
| X0 = pigeon_1
| ~ in(X0,hole_2)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| ~ hole(hole_2) ),
inference(resolution,[status(thm)],[f478,f66]) ).
fof(f480,definition,
! [X0] :
( sQ61_spl
<=> ( X0 = pigeon_1
| ~ in(X0,hole_2)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f481,plain,
! [X0] :
( ~ sQ61_spl
| X0 = pigeon_1
| ~ in(X0,hole_2)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( ~ sQ1_spl
| ~ sQ47_spl
| sQ61_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f479,f411,f480,f323,f89]) ).
fof(f484,plain,
( ~ sQ18_spl
| in(pigeon_5,hole_3) ),
inference(forward_demodulation,[status(thm)],[f145,f72]) ).
fof(f485,plain,
( ~ sQ55_spl
| ~ sQ18_spl
| pigeon_5 = pigeon_1
| ~ pigeon(pigeon_5) ),
inference(resolution,[status(thm)],[f484,f402]) ).
fof(f486,plain,
! [X0] :
( ~ sQ18_spl
| X0 = pigeon_5
| ~ in(X0,hole_3)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| ~ hole(hole_3) ),
inference(resolution,[status(thm)],[f484,f66]) ).
fof(f487,definition,
( sQ62_spl
<=> pigeon_5 = pigeon_1 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ62_spl
| pigeon_5 = pigeon_1 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( ~ sQ55_spl
| ~ sQ18_spl
| sQ62_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f485,f204,f487,f144,f401]) ).
fof(f491,definition,
! [X0] :
( sQ63_spl
<=> ( X0 = pigeon_5
| ~ in(X0,hole_3)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f492,plain,
! [X0] :
( ~ sQ63_spl
| X0 = pigeon_5
| ~ in(X0,hole_3)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( ~ sQ18_spl
| ~ sQ32_spl
| sQ63_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f486,f398,f491,f204,f144]) ).
fof(f495,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f45]) ).
fof(f496,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f495]) ).
fof(f497,plain,
( ~ sQ5_spl
| in(pigeon_2,hole_2) ),
inference(forward_demodulation,[status(thm)],[f103,f75]) ).
fof(f498,plain,
! [X0] :
( ~ sQ5_spl
| X0 = pigeon_2
| ~ in(X0,hole_2)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| ~ hole(hole_2) ),
inference(resolution,[status(thm)],[f497,f66]) ).
fof(f499,definition,
! [X0] :
( sQ64_spl
<=> ( X0 = pigeon_2
| ~ in(X0,hole_2)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f500,plain,
! [X0] :
( ~ sQ64_spl
| X0 = pigeon_2
| ~ in(X0,hole_2)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| sQ64_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f498,f411,f499,f309,f102]) ).
fof(f503,plain,
( ~ sQ5_spl
| ~ sQ60_spl
| pigeon_2 = pigeon_4
| ~ pigeon(pigeon_2) ),
inference(resolution,[status(thm)],[f461,f497]) ).
fof(f504,plain,
( ~ sQ5_spl
| ~ sQ60_spl
| sQ58_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f503,f309,f440,f460,f102]) ).
fof(f515,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ14_spl
| X0 = pigeon_4
| ~ in(X0,hole_3)
| ~ pigeon(X0) ),
inference(backward_demodulation,[status(thm)],[f132,f217]) ).
fof(f520,plain,
( ~ sQ18_spl
| ~ sQ34_spl
| ~ sQ14_spl
| pigeon_5 = pigeon_4
| ~ pigeon(pigeon_5) ),
inference(resolution,[status(thm)],[f515,f484]) ).
fof(f521,plain,
( ~ sQ18_spl
| ~ sQ34_spl
| ~ sQ14_spl
| sQ52_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f520,f204,f366,f131,f216,f144]) ).
fof(f534,plain,
( ~ sQ64_spl
| ~ sQ17_spl
| pigeon_5 = pigeon_2
| ~ pigeon(pigeon_5) ),
inference(resolution,[status(thm)],[f407,f500]) ).
fof(f535,plain,
( ~ sQ61_spl
| ~ sQ17_spl
| pigeon_5 = pigeon_1
| ~ pigeon(pigeon_5) ),
inference(resolution,[status(thm)],[f407,f481]) ).
fof(f537,definition,
( sQ65_spl
<=> pigeon_5 = pigeon_2 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ65_spl
| pigeon_5 = pigeon_2 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( ~ sQ64_spl
| ~ sQ17_spl
| sQ65_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f534,f204,f537,f141,f499]) ).
fof(f541,plain,
( ~ sQ61_spl
| ~ sQ17_spl
| sQ62_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f535,f204,f487,f141,f480]) ).
fof(f543,plain,
( ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f48]) ).
fof(f544,plain,
~ sQ65_spl,
inference(contradiction_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( ~ sQ14_spl
| in(pigeon_4,hole_3) ),
inference(forward_demodulation,[status(thm)],[f132,f73]) ).
fof(f547,plain,
( ~ sQ63_spl
| ~ sQ14_spl
| pigeon_4 = pigeon_5
| ~ pigeon(pigeon_4) ),
inference(resolution,[status(thm)],[f546,f492]) ).
fof(f549,plain,
! [X0] :
( ~ sQ14_spl
| X0 = pigeon_4
| ~ in(X0,hole_3)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| ~ hole(hole_3) ),
inference(resolution,[status(thm)],[f546,f66]) ).
fof(f550,plain,
( ~ sQ63_spl
| ~ sQ14_spl
| sQ52_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f547,f219,f366,f131,f491]) ).
fof(f552,definition,
! [X0] :
( sQ66_spl
<=> ( X0 = pigeon_4
| ~ in(X0,hole_3)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( ~ sQ14_spl
| ~ sQ35_spl
| sQ66_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f549,f398,f552,f219,f131]) ).
fof(f556,plain,
( ~ sQ8_spl
| in(pigeon_3,hole_1) ),
inference(forward_demodulation,[status(thm)],[f113,f74]) ).
fof(f558,plain,
( ~ sQ59_spl
| ~ sQ8_spl
| pigeon_3 = pigeon_2
| ~ pigeon(pigeon_3) ),
inference(resolution,[status(thm)],[f556,f445]) ).
fof(f559,plain,
! [X0] :
( ~ sQ8_spl
| X0 = pigeon_3
| ~ in(X0,hole_1)
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| ~ hole(hole_1) ),
inference(resolution,[status(thm)],[f556,f66]) ).
fof(f561,definition,
( sQ67_spl
<=> pigeon_3 = pigeon_2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ67_spl
| pigeon_3 = pigeon_2 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,plain,
( ~ sQ59_spl
| ~ sQ8_spl
| sQ67_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f558,f261,f561,f112,f444]) ).
fof(f565,definition,
! [X0] :
( sQ68_spl
<=> ( X0 = pigeon_3
| ~ in(X0,hole_1)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f566,plain,
! [X0] :
( ~ sQ68_spl
| X0 = pigeon_3
| ~ in(X0,hole_1)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( ~ sQ8_spl
| ~ sQ40_spl
| sQ68_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f559,f333,f565,f261,f112]) ).
fof(f569,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f562,f46]) ).
fof(f570,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f569]) ).
fof(f573,plain,
( ~ sQ0_spl
| in(pigeon_1,hole_1) ),
inference(forward_demodulation,[status(thm)],[f87,f76]) ).
fof(f574,plain,
! [X0] :
( ~ sQ0_spl
| X0 = pigeon_1
| ~ in(X0,hole_1)
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| ~ hole(hole_1) ),
inference(resolution,[status(thm)],[f573,f66]) ).
fof(f575,definition,
! [X0] :
( sQ69_spl
<=> ( X0 = pigeon_1
| ~ in(X0,hole_1)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f576,plain,
! [X0] :
( ~ sQ69_spl
| X0 = pigeon_1
| ~ in(X0,hole_1)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( ~ sQ0_spl
| ~ sQ47_spl
| sQ69_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f574,f333,f575,f323,f86]) ).
fof(f579,plain,
( ~ sQ6_spl
| in(pigeon_2,hole_3) ),
inference(forward_demodulation,[status(thm)],[f106,f75]) ).
fof(f580,plain,
( ~ sQ34_spl
| ~ sQ14_spl
| ~ sQ6_spl
| pigeon_2 = pigeon_4
| ~ pigeon(pigeon_2) ),
inference(resolution,[status(thm)],[f579,f515]) ).
fof(f581,plain,
! [X0] :
( ~ sQ6_spl
| X0 = pigeon_2
| ~ in(X0,hole_3)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| ~ hole(hole_3) ),
inference(resolution,[status(thm)],[f579,f66]) ).
fof(f582,plain,
( ~ sQ34_spl
| ~ sQ14_spl
| ~ sQ6_spl
| sQ58_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f580,f309,f440,f105,f131,f216]) ).
fof(f583,definition,
! [X0] :
( sQ70_spl
<=> ( X0 = pigeon_2
| ~ in(X0,hole_3)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f584,plain,
! [X0] :
( ~ sQ70_spl
| X0 = pigeon_2
| ~ in(X0,hole_3)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,plain,
( ~ sQ6_spl
| ~ sQ44_spl
| sQ70_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f581,f398,f583,f309,f105]) ).
fof(f592,plain,
( ~ sQ14_spl
| ~ sQ55_spl
| pigeon_4 = pigeon_1
| ~ pigeon(pigeon_4) ),
inference(resolution,[status(thm)],[f402,f546]) ).
fof(f593,definition,
( sQ71_spl
<=> pigeon_4 = pigeon_1 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ71_spl
| pigeon_4 = pigeon_1 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( ~ sQ14_spl
| ~ sQ55_spl
| sQ71_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f592,f219,f593,f401,f131]) ).
fof(f597,plain,
( ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f594,f44]) ).
fof(f598,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( ~ sQ17_spl
| ~ sQ39_spl
| ~ sQ9_spl
| pigeon_5 = pigeon_3
| ~ pigeon(pigeon_5) ),
inference(resolution,[status(thm)],[f427,f407]) ).
fof(f601,definition,
( sQ72_spl
<=> pigeon_5 = pigeon_3 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ72_spl
| pigeon_5 = pigeon_3 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( ~ sQ17_spl
| ~ sQ39_spl
| ~ sQ9_spl
| sQ72_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f600,f204,f601,f115,f258,f141]) ).
fof(f606,definition,
( sQ73_spl
<=> pigeon_1 = pigeon_1 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( ~ sQ0_spl
| ~ sQ43_spl
| ~ sQ4_spl
| pigeon_1 = pigeon_2
| ~ pigeon(pigeon_1) ),
inference(resolution,[status(thm)],[f425,f573]) ).
fof(f611,definition,
( sQ74_spl
<=> pigeon_1 = pigeon_2 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ74_spl
| pigeon_1 = pigeon_2 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,plain,
( ~ sQ0_spl
| ~ sQ43_spl
| ~ sQ4_spl
| sQ74_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f610,f323,f611,f99,f306,f86]) ).
fof(f617,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ10_spl
| X0 = pigeon_3
| ~ in(X0,hole_3)
| ~ pigeon(X0) ),
inference(backward_demodulation,[status(thm)],[f119,f259]) ).
fof(f620,plain,
( ~ sQ14_spl
| ~ sQ39_spl
| ~ sQ10_spl
| pigeon_4 = pigeon_3
| ~ pigeon(pigeon_4) ),
inference(resolution,[status(thm)],[f617,f546]) ).
fof(f621,plain,
( ~ sQ14_spl
| ~ sQ39_spl
| ~ sQ10_spl
| sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f620,f219,f361,f118,f258,f131]) ).
fof(f622,plain,
( ~ sQ0_spl
| ~ sQ68_spl
| pigeon_1 = pigeon_3
| ~ pigeon(pigeon_1) ),
inference(resolution,[status(thm)],[f566,f573]) ).
fof(f623,definition,
( sQ75_spl
<=> pigeon_1 = pigeon_3 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ75_spl
| pigeon_1 = pigeon_3 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( ~ sQ0_spl
| ~ sQ68_spl
| sQ75_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f622,f323,f623,f565,f86]) ).
fof(f627,plain,
( ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f624,f43]) ).
fof(f628,plain,
~ sQ75_spl,
inference(contradiction_clause,[status(thm)],[f627]) ).
fof(f629,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f602,f50]) ).
fof(f630,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f629]) ).
fof(f637,plain,
! [X0] :
( ~ sQ9_spl
| X0 = pigeon_3
| ~ in(X0,hole_2)
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| ~ hole(hole_2) ),
inference(resolution,[status(thm)],[f428,f66]) ).
fof(f638,definition,
! [X0] :
( sQ76_spl
<=> ( X0 = pigeon_3
| ~ in(X0,hole_2)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ9_spl
| ~ sQ40_spl
| sQ76_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f637,f411,f638,f261,f115]) ).
fof(f657,plain,
( ~ sQ16_spl
| in(pigeon_5,hole_1) ),
inference(forward_demodulation,[status(thm)],[f139,f72]) ).
fof(f660,plain,
( ~ sQ5_spl
| ~ sQ39_spl
| ~ sQ9_spl
| pigeon_2 = pigeon_3
| ~ pigeon(pigeon_2) ),
inference(resolution,[status(thm)],[f427,f497]) ).
fof(f662,plain,
( ~ sQ5_spl
| ~ sQ39_spl
| ~ sQ9_spl
| sQ67_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f660,f309,f561,f115,f258,f102]) ).
fof(f669,plain,
( ~ sQ5_spl
| ~ sQ61_spl
| pigeon_2 = pigeon_1
| ~ pigeon(pigeon_2) ),
inference(resolution,[status(thm)],[f481,f497]) ).
fof(f670,plain,
( ~ sQ5_spl
| ~ sQ61_spl
| sQ74_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f669,f309,f611,f480,f102]) ).
fof(f673,plain,
( ~ sQ16_spl
| ~ sQ39_spl
| ~ sQ8_spl
| pigeon_5 = pigeon_3
| ~ pigeon(pigeon_5) ),
inference(resolution,[status(thm)],[f355,f657]) ).
fof(f674,plain,
( ~ sQ16_spl
| ~ sQ39_spl
| ~ sQ8_spl
| sQ72_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f673,f204,f601,f112,f258,f138]) ).
fof(f693,plain,
( ~ sQ39_spl
| ~ sQ10_spl
| ~ sQ18_spl
| pigeon_5 = pigeon_3
| ~ pigeon(pigeon_5) ),
inference(resolution,[status(thm)],[f484,f617]) ).
fof(f695,plain,
( ~ sQ70_spl
| ~ sQ18_spl
| pigeon_5 = pigeon_2
| ~ pigeon(pigeon_5) ),
inference(resolution,[status(thm)],[f484,f584]) ).
fof(f697,plain,
( ~ sQ39_spl
| ~ sQ10_spl
| ~ sQ18_spl
| sQ72_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f693,f204,f601,f144,f118,f258]) ).
fof(f699,plain,
( ~ sQ70_spl
| ~ sQ18_spl
| sQ65_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f695,f204,f537,f144,f583]) ).
fof(f701,plain,
( ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f612,f42]) ).
fof(f702,plain,
~ sQ74_spl,
inference(contradiction_clause,[status(thm)],[f701]) ).
fof(f704,plain,
! [X0] :
( X0 = pigeon_1
| ~ in(X0,hole_of(pigeon_1))
| ~ pigeon(pigeon_1)
| ~ pigeon(X0)
| ~ hole(hole_of(pigeon_1)) ),
inference(resolution,[status(thm)],[f76,f66]) ).
fof(f705,definition,
( sQ77_spl
<=> hole(hole_of(pigeon_1)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( sQ77_spl
| ~ hole(hole_of(pigeon_1)) ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,definition,
! [X0] :
( sQ78_spl
<=> ( X0 = pigeon_1
| ~ in(X0,hole_of(pigeon_1))
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f709,plain,
! [X0] :
( ~ sQ78_spl
| X0 = pigeon_1
| ~ in(X0,hole_of(pigeon_1))
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,plain,
( ~ sQ47_spl
| sQ78_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f704,f705,f708,f323]) ).
fof(f721,plain,
( ~ sQ12_spl
| ~ sQ69_spl
| pigeon_4 = pigeon_1
| ~ pigeon(pigeon_4) ),
inference(resolution,[status(thm)],[f576,f356]) ).
fof(f722,plain,
( ~ sQ12_spl
| ~ sQ69_spl
| sQ71_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f721,f219,f593,f575,f125]) ).
fof(f743,plain,
( ~ sQ11_spl
| in(pigeon_3,hole_4) ),
inference(backward_demodulation,[status(thm)],[f122,f74]) ).
fof(f749,plain,
( ~ sQ46_spl
| ~ sQ11_spl
| pigeon_3 = pigeon_1
| ~ pigeon(pigeon_3) ),
inference(resolution,[status(thm)],[f278,f321]) ).
fof(f750,plain,
! [X0] :
( ~ sQ11_spl
| X0 = pigeon_3
| ~ in(X0,hole_4)
| ~ pigeon(pigeon_3)
| ~ pigeon(X0)
| ~ hole(hole_4) ),
inference(resolution,[status(thm)],[f278,f66]) ).
fof(f752,plain,
( ~ sQ46_spl
| ~ sQ11_spl
| sQ75_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f749,f261,f623,f121,f320]) ).
fof(f753,definition,
! [X0] :
( sQ79_spl
<=> ( X0 = pigeon_3
| ~ in(X0,hole_4)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f756,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| sQ79_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f750,f317,f753,f261,f121]) ).
fof(f781,plain,
( ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ4_spl
| pigeon_5 = pigeon_2
| ~ pigeon(pigeon_5) ),
inference(resolution,[status(thm)],[f425,f331]) ).
fof(f782,plain,
( ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ4_spl
| sQ65_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f781,f204,f537,f99,f306,f138]) ).
fof(f783,plain,
( ~ sQ78_spl
| pigeon_1 = pigeon_1
| ~ pigeon(pigeon_1) ),
inference(resolution,[status(thm)],[f709,f76]) ).
fof(f784,plain,
( ~ sQ78_spl
| sQ73_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f783,f323,f606,f708]) ).
fof(f785,plain,
( ~ sQ16_spl
| ~ sQ69_spl
| pigeon_5 = pigeon_1
| ~ pigeon(pigeon_5) ),
inference(resolution,[status(thm)],[f576,f331]) ).
fof(f786,plain,
( ~ sQ16_spl
| ~ sQ69_spl
| sQ62_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f785,f204,f487,f575,f138]) ).
fof(f818,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ11_spl
| X0 = pigeon_3
| ~ in(X0,hole_4)
| ~ pigeon(X0) ),
inference(backward_demodulation,[status(thm)],[f122,f259]) ).
fof(f819,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ11_spl
| pigeon_3 = pigeon_5
| ~ pigeon(pigeon_3) ),
inference(resolution,[status(thm)],[f743,f237]) ).
fof(f822,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ11_spl
| sQ72_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f819,f261,f601,f121,f147,f201]) ).
fof(f826,plain,
! [X0] :
( ~ sQ19_spl
| X0 = pigeon_5
| ~ in(X0,hole_4)
| ~ pigeon(pigeon_5)
| ~ pigeon(X0)
| ~ hole(hole_4) ),
inference(resolution,[status(thm)],[f238,f66]) ).
fof(f828,definition,
! [X0] :
( sQ80_spl
<=> ( X0 = pigeon_5
| ~ in(X0,hole_4)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f829,plain,
! [X0] :
( ~ sQ80_spl
| X0 = pigeon_5
| ~ in(X0,hole_4)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,plain,
( ~ sQ19_spl
| ~ sQ32_spl
| sQ80_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f826,f317,f828,f204,f147]) ).
fof(f834,plain,
( ~ sQ19_spl
| ~ sQ46_spl
| pigeon_5 = pigeon_1
| ~ pigeon(pigeon_5) ),
inference(resolution,[status(thm)],[f321,f238]) ).
fof(f835,plain,
( ~ sQ19_spl
| ~ sQ46_spl
| sQ62_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f834,f204,f487,f320,f147]) ).
fof(f838,plain,
( sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f71,f707]) ).
fof(f839,plain,
sQ77_spl,
inference(contradiction_clause,[status(thm)],[f838]) ).
fof(f863,plain,
( ~ sQ61_spl
| ~ sQ9_spl
| pigeon_3 = pigeon_1
| ~ pigeon(pigeon_3) ),
inference(resolution,[status(thm)],[f428,f481]) ).
fof(f866,plain,
( ~ sQ61_spl
| ~ sQ9_spl
| sQ75_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f863,f261,f623,f115,f480]) ).
fof(f886,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| pigeon_1 = pigeon_4
| ~ pigeon(pigeon_1) ),
inference(resolution,[status(thm)],[f253,f478]) ).
fof(f887,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| sQ71_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f886,f323,f593,f128,f216,f89]) ).
fof(f920,plain,
( ~ sQ55_spl
| ~ sQ6_spl
| pigeon_2 = pigeon_1
| ~ pigeon(pigeon_2) ),
inference(resolution,[status(thm)],[f579,f402]) ).
fof(f923,plain,
( ~ sQ55_spl
| ~ sQ6_spl
| sQ74_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f920,f309,f611,f105,f401]) ).
fof(f942,plain,
( ~ sQ6_spl
| ~ sQ39_spl
| ~ sQ10_spl
| pigeon_2 = pigeon_3
| ~ pigeon(pigeon_2) ),
inference(resolution,[status(thm)],[f617,f579]) ).
fof(f943,plain,
( ~ sQ6_spl
| ~ sQ39_spl
| ~ sQ10_spl
| sQ67_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f942,f309,f561,f118,f258,f105]) ).
fof(f988,plain,
( ~ sQ7_spl
| in(pigeon_2,hole_4) ),
inference(backward_demodulation,[status(thm)],[f109,f75]) ).
fof(f992,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ7_spl
| X0 = pigeon_2
| ~ in(X0,hole_4)
| ~ pigeon(X0) ),
inference(backward_demodulation,[status(thm)],[f109,f307]) ).
fof(f994,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ7_spl
| pigeon_3 = pigeon_2
| ~ pigeon(pigeon_3) ),
inference(resolution,[status(thm)],[f992,f278]) ).
fof(f995,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ7_spl
| sQ67_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f994,f261,f561,f108,f306,f121]) ).
fof(f1002,plain,
( ~ sQ80_spl
| ~ sQ7_spl
| pigeon_2 = pigeon_5
| ~ pigeon(pigeon_2) ),
inference(resolution,[status(thm)],[f988,f829]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ7_spl
| X0 = pigeon_2
| ~ in(X0,hole_4)
| ~ pigeon(pigeon_2)
| ~ pigeon(X0)
| ~ hole(hole_4) ),
inference(resolution,[status(thm)],[f988,f66]) ).
fof(f1005,plain,
( ~ sQ80_spl
| ~ sQ7_spl
| sQ65_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1002,f309,f537,f108,f828]) ).
fof(f1007,definition,
! [X0] :
( sQ81_spl
<=> ( X0 = pigeon_2
| ~ in(X0,hole_4)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ81_spl
| X0 = pigeon_2
| ~ in(X0,hole_4)
| ~ pigeon(X0) ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1010,plain,
( ~ sQ7_spl
| ~ sQ44_spl
| sQ81_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1004,f317,f1007,f309,f108]) ).
fof(f1011,plain,
( ~ sQ7_spl
| ~ sQ46_spl
| pigeon_2 = pigeon_1
| ~ pigeon(pigeon_2) ),
inference(resolution,[status(thm)],[f321,f988]) ).
fof(f1012,plain,
( ~ sQ7_spl
| ~ sQ46_spl
| sQ74_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1011,f309,f611,f320,f108]) ).
fof(f1051,plain,
( ~ sQ34_spl
| ~ sQ15_spl
| ~ sQ3_spl
| pigeon_1 = pigeon_4
| ~ pigeon(pigeon_1) ),
inference(resolution,[status(thm)],[f315,f247]) ).
fof(f1054,plain,
( ~ sQ34_spl
| ~ sQ15_spl
| ~ sQ3_spl
| sQ71_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1051,f323,f593,f95,f134,f216]) ).
fof(f1069,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ15_spl
| pigeon_4 = pigeon_5
| ~ pigeon(pigeon_4) ),
inference(resolution,[status(thm)],[f248,f237]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ15_spl
| X0 = pigeon_4
| ~ in(X0,hole_4)
| ~ pigeon(pigeon_4)
| ~ pigeon(X0)
| ~ hole(hole_4) ),
inference(resolution,[status(thm)],[f248,f66]) ).
fof(f1072,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ15_spl
| sQ52_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1069,f219,f366,f134,f147,f201]) ).
fof(f1074,definition,
! [X0] :
( sQ82_spl
<=> ( X0 = pigeon_4
| ~ in(X0,hole_4)
| ~ pigeon(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( ~ sQ15_spl
| ~ sQ35_spl
| sQ82_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1071,f317,f1074,f219,f134]) ).
fof(f1097,plain,
( ~ sQ15_spl
| ~ sQ81_spl
| pigeon_4 = pigeon_2
| ~ pigeon(pigeon_4) ),
inference(resolution,[status(thm)],[f1008,f248]) ).
fof(f1098,plain,
( ~ sQ15_spl
| ~ sQ81_spl
| sQ58_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1097,f219,f440,f1007,f134]) ).
fof(f1099,plain,
( ~ sQ39_spl
| ~ sQ10_spl
| ~ sQ2_spl
| pigeon_1 = pigeon_3
| ~ pigeon(pigeon_1) ),
inference(resolution,[status(thm)],[f396,f617]) ).
fof(f1102,plain,
( ~ sQ39_spl
| ~ sQ10_spl
| ~ sQ2_spl
| sQ75_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1099,f323,f623,f92,f118,f258]) ).
fof(f1105,plain,
( ~ sQ15_spl
| ~ sQ39_spl
| ~ sQ11_spl
| pigeon_4 = pigeon_3
| ~ pigeon(pigeon_4) ),
inference(resolution,[status(thm)],[f818,f248]) ).
fof(f1106,plain,
( ~ sQ15_spl
| ~ sQ39_spl
| ~ sQ11_spl
| sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1105,f219,f361,f121,f258,f134]) ).
fof(f1107,plain,
$false,
inference(sat_refutation,[status(thm)],[f98,f111,f124,f137,f150,f163,f173,f180,f184,f186,f188,f190,f192,f194,f196,f207,f209,f211,f222,f224,f226,f231,f236,f252,f264,f266,f268,f273,f276,f282,f285,f292,f312,f314,f326,f328,f330,f339,f341,f346,f364,f369,f373,f375,f377,f379,f404,f406,f417,f419,f422,f443,f447,f449,f457,f458,f463,f483,f490,f494,f496,f502,f504,f521,f540,f541,f544,f550,f555,f564,f568,f570,f578,f582,f586,f596,f598,f604,f614,f621,f626,f628,f630,f641,f662,f670,f674,f697,f699,f702,f711,f722,f752,f756,f782,f784,f786,f822,f831,f835,f839,f866,f887,f923,f943,f995,f1005,f1010,f1012,f1054,f1072,f1077,f1098,f1102,f1106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC007-2.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 01:28:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.068865 seconds
% 0.14/0.44 % CPU time: 0.342666 seconds
% 0.14/0.44 % Total memory used: 105.971 MB
% 0.14/0.44 % Net memory used: 105.651 MB
%------------------------------------------------------------------------------