%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN494-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 03:19:50 PM UTC 2026
% Result : Satisfiable 0.12s 0.38s
% Output : Saturation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ndr1_0
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( ndr1_0
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ndr1_0
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ndr1_0
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( hskp2
| hskp9
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( c2_1(a60)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( c0_1(a60)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( c3_1(a60)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( c2_1(a59)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( c3_1(a59)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( c3_1(a57)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( c3_1(a56)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( c2_1(a56)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( c3_1(a55)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( c2_1(a55)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( c1_1(a54)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( c2_1(a52)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( c1_1(a52)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( c0_1(a51)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( c1_1(a51)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( c1_1(a50)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( c0_1(a50)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( c1_1(a58)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( c3_1(a58)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( c1_1(a53)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( c3_1(a49)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( c2_1(a49)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( ~ hskp10
| ~ c1_1(a59) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( ~ hskp9
| ~ c2_1(a57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( ~ hskp9
| ~ c1_1(a57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( ~ hskp8
| ~ c0_1(a56) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( ~ hskp7
| ~ c1_1(a55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( ~ hskp6
| ~ c3_1(a54) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( ~ hskp6
| ~ c2_1(a54) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( ~ hskp5
| ~ c3_1(a52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( ~ hskp4
| ~ c2_1(a51) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( ~ hskp3
| ~ c2_1(a50) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( ~ hskp2
| ~ c0_1(a58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( ~ hskp1
| ~ c3_1(a53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( ~ hskp1
| ~ c0_1(a53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( ~ hskp0
| ~ c1_1(a49) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [U] :
( hskp1
| hskp5
| c0_1(U)
| c3_1(U)
| ~ ndr1_0
| ~ c2_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [U] :
( hskp11
| hskp10
| c0_1(U)
| c2_1(U)
| ~ ndr1_0
| ~ c1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [U] :
( hskp7
| hskp6
| c0_1(U)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
! [U,V] :
( hskp4
| c0_1(U)
| c2_1(V)
| c1_1(V)
| c0_1(V)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
! [U,V] :
( hskp0
| c3_1(V)
| c0_1(U)
| c3_1(U)
| ~ c1_1(V)
| ~ c2_1(V)
| ~ ndr1_0
| ~ c1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
! [U,V] :
( hskp3
| c1_1(V)
| c3_1(V)
| c2_1(U)
| ~ c2_1(V)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
! [U,V,W] :
( c0_1(W)
| c2_1(W)
| c3_1(W)
| c2_1(V)
| c0_1(V)
| ~ c1_1(V)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_1(U)
| ~ c0_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,plain,
( ndr1_0
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f58,plain,
( ndr1_0
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( ndr1_0
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f60,plain,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f61,plain,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f62,plain,
( ndr1_0
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f63,plain,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f64,plain,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f65,plain,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f66,plain,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f67,plain,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f68,plain,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f69,plain,
( hskp2
| hskp9
| hskp8 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f70,plain,
( c2_1(a60)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f71,plain,
( c0_1(a60)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f72,plain,
( c3_1(a60)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f73,plain,
( c2_1(a59)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f74,plain,
( c3_1(a59)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f75,plain,
( c3_1(a57)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f76,plain,
( c3_1(a56)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f77,plain,
( c2_1(a56)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f78,plain,
( c3_1(a55)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f79,plain,
( c2_1(a55)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f80,plain,
( c1_1(a54)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f81,plain,
( c2_1(a52)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f82,plain,
( c1_1(a52)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f83,plain,
( c0_1(a51)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f84,plain,
( c1_1(a51)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f85,plain,
( c1_1(a50)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f86,plain,
( c0_1(a50)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f87,plain,
( c1_1(a58)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f88,plain,
( c3_1(a58)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f89,plain,
( c1_1(a53)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f90,plain,
( c3_1(a49)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f91,plain,
( c2_1(a49)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f92,plain,
( ~ hskp10
| ~ c1_1(a59) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f93,plain,
( ~ hskp9
| ~ c2_1(a57) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f94,plain,
( ~ hskp9
| ~ c1_1(a57) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f95,plain,
( ~ hskp8
| ~ c0_1(a56) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f96,plain,
( ~ hskp7
| ~ c1_1(a55) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f97,plain,
( ~ hskp6
| ~ c3_1(a54) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f98,plain,
( ~ hskp6
| ~ c2_1(a54) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f99,plain,
( ~ hskp5
| ~ c3_1(a52) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f100,plain,
( ~ hskp4
| ~ c2_1(a51) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f101,plain,
( ~ hskp3
| ~ c2_1(a50) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f102,plain,
( ~ hskp2
| ~ c0_1(a58) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f103,plain,
( ~ hskp1
| ~ c3_1(a53) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f104,plain,
( ~ hskp1
| ~ c0_1(a53) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f105,plain,
( ~ hskp0
| ~ c1_1(a49) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f106,plain,
( hskp1
| hskp5
| ! [U] :
( c0_1(U)
| c3_1(U)
| ~ ndr1_0
| ~ c2_1(U) ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f107,plain,
! [X0] :
( hskp1
| hskp5
| c0_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f108,plain,
( hskp11
| hskp10
| ! [U] :
( c0_1(U)
| c2_1(U)
| ~ ndr1_0
| ~ c1_1(U) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f109,plain,
! [X0] :
( hskp11
| hskp10
| c0_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,plain,
( hskp7
| hskp6
| ! [U] :
( c0_1(U)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f111,plain,
! [X0] :
( hskp7
| hskp6
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f112,plain,
( hskp4
| ! [U] :
( c0_1(U)
| ! [V] :
( c2_1(V)
| c1_1(V)
| c0_1(V)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0 ) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f113,plain,
! [X0,X1] :
( hskp4
| c0_1(X0)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f114,plain,
( hskp0
| ! [V] :
( c3_1(V)
| ! [U] :
( c0_1(U)
| c3_1(U)
| ~ c1_1(V)
| ~ c2_1(V)
| ~ ndr1_0
| ~ c1_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f115,plain,
! [X0,X1] :
( hskp0
| c3_1(X1)
| c0_1(X0)
| c3_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f116,plain,
( hskp3
| ! [V] :
( c1_1(V)
| c3_1(V)
| ! [U] :
( c2_1(U)
| ~ c2_1(V)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c1_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f117,plain,
! [X0,X1] :
( hskp3
| c1_1(X1)
| c3_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f118,plain,
! [W] :
( c0_1(W)
| c2_1(W)
| c3_1(W)
| ! [V] :
( c2_1(V)
| c0_1(V)
| ~ c1_1(V)
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c3_1(U)
| ~ c0_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f119,plain,
! [X0,X1,X2] :
( c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f120,definition,
( sQ0_spl
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ0_spl
| hskp11 ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f122,plain,
( sQ0_spl
| ~ hskp11 ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f120,f123]) ).
fof(f127,definition,
( sQ2_spl
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( sQ2_spl
| ~ hskp10 ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( sQ1_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f58,f127,f123]) ).
fof(f131,definition,
( sQ3_spl
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( sQ3_spl
| ~ hskp9 ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,plain,
( sQ1_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f59,f131,f123]) ).
fof(f135,definition,
( sQ4_spl
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ4_spl
| hskp8 ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,plain,
( sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f60,f135,f123]) ).
fof(f139,definition,
( sQ5_spl
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ5_spl
| hskp7 ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f61,f139,f123]) ).
fof(f143,definition,
( sQ6_spl
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( sQ6_spl
| ~ hskp6 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f62,f143,f123]) ).
fof(f147,definition,
( sQ7_spl
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ7_spl
| hskp5 ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f63,f147,f123]) ).
fof(f151,definition,
( sQ8_spl
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( ~ sQ8_spl
| hskp4 ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f153,plain,
( sQ8_spl
| ~ hskp4 ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,plain,
( sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f64,f151,f123]) ).
fof(f155,definition,
( sQ9_spl
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ9_spl
| hskp3 ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f157,plain,
( sQ9_spl
| ~ hskp3 ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f155,f123]) ).
fof(f159,definition,
( sQ10_spl
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( sQ10_spl
| ~ hskp2 ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( sQ1_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f66,f159,f123]) ).
fof(f163,definition,
( sQ11_spl
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( sQ11_spl
| ~ hskp1 ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( sQ1_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f67,f163,f123]) ).
fof(f167,definition,
( sQ12_spl
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( sQ12_spl
| ~ hskp0 ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,plain,
( sQ1_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f68,f167,f123]) ).
fof(f171,plain,
( sQ10_spl
| sQ3_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f69,f135,f131,f159]) ).
fof(f172,definition,
( sQ13_spl
<=> c2_1(a60) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ13_spl
| c2_1(a60) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( sQ13_spl
| ~ c2_1(a60) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( sQ13_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f70,f120,f172]) ).
fof(f176,definition,
( sQ14_spl
<=> c0_1(a60) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ14_spl
| c0_1(a60) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( sQ14_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f71,f120,f176]) ).
fof(f180,definition,
( sQ15_spl
<=> c3_1(a60) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ15_spl
| c3_1(a60) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( sQ15_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f72,f120,f180]) ).
fof(f184,definition,
( sQ16_spl
<=> c2_1(a59) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ16_spl
| c2_1(a59) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,plain,
( sQ16_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f73,f127,f184]) ).
fof(f188,definition,
( sQ17_spl
<=> c3_1(a59) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ17_spl
| c3_1(a59) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( sQ17_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f74,f127,f188]) ).
fof(f192,definition,
( sQ18_spl
<=> c3_1(a57) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ18_spl
| c3_1(a57) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( sQ18_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f75,f131,f192]) ).
fof(f196,definition,
( sQ19_spl
<=> c3_1(a56) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ19_spl
| c3_1(a56) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( sQ19_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f76,f135,f196]) ).
fof(f200,definition,
( sQ20_spl
<=> c2_1(a56) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ20_spl
| c2_1(a56) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f77,f135,f200]) ).
fof(f204,definition,
( sQ21_spl
<=> c3_1(a55) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ21_spl
| c3_1(a55) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f78,f139,f204]) ).
fof(f208,definition,
( sQ22_spl
<=> c2_1(a55) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ22_spl
| c2_1(a55) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( sQ22_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f79,f139,f208]) ).
fof(f212,definition,
( sQ23_spl
<=> c1_1(a54) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ23_spl
| c1_1(a54) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f214,plain,
( sQ23_spl
| ~ c1_1(a54) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ23_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f80,f143,f212]) ).
fof(f216,definition,
( sQ24_spl
<=> c2_1(a52) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ24_spl
| c2_1(a52) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( sQ24_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f81,f147,f216]) ).
fof(f220,definition,
( sQ25_spl
<=> c1_1(a52) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ25_spl
| c1_1(a52) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( sQ25_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f82,f147,f220]) ).
fof(f224,definition,
( sQ26_spl
<=> c0_1(a51) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ26_spl
| c0_1(a51) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( sQ26_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f83,f151,f224]) ).
fof(f228,definition,
( sQ27_spl
<=> c1_1(a51) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ27_spl
| c1_1(a51) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( sQ27_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f84,f151,f228]) ).
fof(f232,definition,
( sQ28_spl
<=> c1_1(a50) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ28_spl
| c1_1(a50) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ28_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f85,f155,f232]) ).
fof(f236,definition,
( sQ29_spl
<=> c0_1(a50) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ29_spl
| c0_1(a50) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ29_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f86,f155,f236]) ).
fof(f240,definition,
( sQ30_spl
<=> c1_1(a58) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ30_spl
| c1_1(a58) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( sQ30_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f87,f159,f240]) ).
fof(f244,definition,
( sQ31_spl
<=> c3_1(a58) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ31_spl
| c3_1(a58) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ31_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f88,f159,f244]) ).
fof(f248,definition,
( sQ32_spl
<=> c1_1(a53) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ32_spl
| c1_1(a53) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ32_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f89,f163,f248]) ).
fof(f252,definition,
( sQ33_spl
<=> c3_1(a49) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ33_spl
| c3_1(a49) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( sQ33_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f90,f167,f252]) ).
fof(f256,definition,
( sQ34_spl
<=> c2_1(a49) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ34_spl
| c2_1(a49) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,plain,
( sQ34_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f91,f167,f256]) ).
fof(f260,definition,
( sQ35_spl
<=> c1_1(a59) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( sQ35_spl
| ~ c1_1(a59) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( ~ sQ2_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f92,f260,f127]) ).
fof(f264,definition,
( sQ36_spl
<=> c2_1(a57) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( sQ36_spl
| ~ c2_1(a57) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( ~ sQ3_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f93,f264,f131]) ).
fof(f268,definition,
( sQ37_spl
<=> c1_1(a57) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( sQ37_spl
| ~ c1_1(a57) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( ~ sQ3_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f94,f268,f131]) ).
fof(f272,definition,
( sQ38_spl
<=> c0_1(a56) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( sQ38_spl
| ~ c0_1(a56) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( ~ sQ4_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f95,f272,f135]) ).
fof(f276,definition,
( sQ39_spl
<=> c1_1(a55) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( sQ39_spl
| ~ c1_1(a55) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( ~ sQ5_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f96,f276,f139]) ).
fof(f280,definition,
( sQ40_spl
<=> c3_1(a54) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( sQ40_spl
| ~ c3_1(a54) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( ~ sQ6_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f97,f280,f143]) ).
fof(f284,definition,
( sQ41_spl
<=> c2_1(a54) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( sQ41_spl
| ~ c2_1(a54) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( ~ sQ6_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f98,f284,f143]) ).
fof(f288,definition,
( sQ42_spl
<=> c3_1(a52) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( sQ42_spl
| ~ c3_1(a52) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,plain,
( ~ sQ7_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f99,f288,f147]) ).
fof(f292,definition,
( sQ43_spl
<=> c2_1(a51) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( sQ43_spl
| ~ c2_1(a51) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( ~ sQ8_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f100,f292,f151]) ).
fof(f296,definition,
( sQ44_spl
<=> c2_1(a50) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( sQ44_spl
| ~ c2_1(a50) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f101,f296,f155]) ).
fof(f300,definition,
( sQ45_spl
<=> c0_1(a58) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( sQ45_spl
| ~ c0_1(a58) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( ~ sQ10_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f102,f300,f159]) ).
fof(f304,definition,
( sQ46_spl
<=> c3_1(a53) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( sQ46_spl
| ~ c3_1(a53) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( ~ sQ11_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f103,f304,f163]) ).
fof(f308,definition,
( sQ47_spl
<=> c0_1(a53) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ47_spl
| c0_1(a53) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ47_spl
| ~ c0_1(a53) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( ~ sQ11_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f104,f308,f163]) ).
fof(f312,definition,
( sQ48_spl
<=> c1_1(a49) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( sQ48_spl
| ~ c1_1(a49) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( ~ sQ12_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f105,f312,f167]) ).
fof(f316,definition,
! [X0] :
( sQ49_spl
<=> ( c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f317,plain,
! [X0] :
( ~ sQ49_spl
| c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( sQ11_spl
| sQ7_spl
| ~ sQ1_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f107,f316,f123,f147,f163]) ).
fof(f320,definition,
! [X0] :
( sQ50_spl
<=> ( c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f321,plain,
! [X0] :
( ~ sQ50_spl
| c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( sQ0_spl
| sQ2_spl
| ~ sQ1_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f109,f320,f123,f127,f120]) ).
fof(f324,definition,
! [X0] :
( sQ51_spl
<=> ( c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f325,plain,
! [X0] :
( ~ sQ51_spl
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( sQ5_spl
| sQ6_spl
| ~ sQ1_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f111,f324,f123,f143,f139]) ).
fof(f328,definition,
! [X0] :
( sQ52_spl
<=> ( c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f329,plain,
! [X0] :
( ~ sQ52_spl
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,definition,
! [X1] :
( sQ53_spl
<=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f332,plain,
! [X0] :
( ~ sQ53_spl
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( sQ8_spl
| sQ53_spl
| sQ52_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f113,f123,f328,f331,f151]) ).
fof(f335,definition,
! [X0] :
( sQ54_spl
<=> ( c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f336,plain,
! [X0] :
( ~ sQ54_spl
| c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,definition,
! [X1] :
( sQ55_spl
<=> ( c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f339,plain,
! [X0] :
( ~ sQ55_spl
| c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( sQ12_spl
| sQ55_spl
| ~ sQ1_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f115,f335,f123,f338,f167]) ).
fof(f342,definition,
! [X0] :
( sQ56_spl
<=> ( c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f343,plain,
! [X0] :
( ~ sQ56_spl
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,definition,
! [X1] :
( sQ57_spl
<=> ( c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f346,plain,
! [X0] :
( ~ sQ57_spl
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,plain,
( sQ9_spl
| sQ57_spl
| ~ sQ1_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f117,f342,f123,f345,f155]) ).
fof(f349,definition,
! [X0] :
( sQ58_spl
<=> ( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f350,plain,
! [X0] :
( ~ sQ58_spl
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
! [X2] :
( sQ59_spl
<=> ( c0_1(X2)
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f353,plain,
! [X0] :
( ~ sQ59_spl
| c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( sQ59_spl
| sQ50_spl
| ~ sQ1_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f119,f349,f123,f320,f352]) ).
fof(f356,plain,
( ~ sQ25_spl
| ~ sQ56_spl
| c2_1(a52)
| ~ c3_1(a52) ),
inference(resolution,[status(thm)],[f343,f221]) ).
fof(f357,plain,
( ~ sQ25_spl
| ~ sQ56_spl
| sQ24_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f356,f288,f216,f342,f220]) ).
fof(f358,plain,
( ~ sQ19_spl
| ~ sQ52_spl
| c0_1(a56)
| ~ c2_1(a56) ),
inference(resolution,[status(thm)],[f329,f197]) ).
fof(f359,plain,
( ~ sQ19_spl
| ~ sQ52_spl
| sQ38_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f358,f200,f272,f328,f196]) ).
fof(f360,plain,
( ~ sQ25_spl
| ~ sQ50_spl
| c0_1(a52)
| c2_1(a52) ),
inference(resolution,[status(thm)],[f321,f221]) ).
fof(f361,definition,
( sQ60_spl
<=> c0_1(a52) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ60_spl
| c0_1(a52) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( ~ sQ25_spl
| ~ sQ50_spl
| sQ60_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f360,f216,f361,f320,f220]) ).
fof(f365,plain,
( ~ sQ25_spl
| ~ sQ54_spl
| c0_1(a52)
| c3_1(a52) ),
inference(resolution,[status(thm)],[f336,f221]) ).
fof(f366,plain,
( ~ sQ25_spl
| ~ sQ54_spl
| sQ60_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f365,f288,f361,f335,f220]) ).
fof(f367,plain,
( ~ sQ13_spl
| ~ sQ57_spl
| c1_1(a60)
| c3_1(a60) ),
inference(resolution,[status(thm)],[f346,f173]) ).
fof(f368,plain,
( ~ sQ22_spl
| ~ sQ57_spl
| c1_1(a55)
| c3_1(a55) ),
inference(resolution,[status(thm)],[f346,f209]) ).
fof(f369,plain,
( ~ sQ24_spl
| ~ sQ57_spl
| c1_1(a52)
| c3_1(a52) ),
inference(resolution,[status(thm)],[f346,f217]) ).
fof(f370,plain,
( ~ sQ20_spl
| ~ sQ57_spl
| c1_1(a56)
| c3_1(a56) ),
inference(resolution,[status(thm)],[f346,f201]) ).
fof(f371,definition,
( sQ61_spl
<=> c1_1(a60) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( ~ sQ61_spl
| c1_1(a60) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( ~ sQ13_spl
| ~ sQ57_spl
| sQ61_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f367,f180,f371,f345,f172]) ).
fof(f375,plain,
( ~ sQ22_spl
| ~ sQ57_spl
| sQ39_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f368,f204,f276,f345,f208]) ).
fof(f376,plain,
( ~ sQ24_spl
| ~ sQ57_spl
| sQ25_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f369,f288,f220,f345,f216]) ).
fof(f377,definition,
( sQ62_spl
<=> c1_1(a56) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ62_spl
| c1_1(a56) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( ~ sQ20_spl
| ~ sQ57_spl
| sQ62_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f370,f196,f377,f345,f200]) ).
fof(f381,plain,
( sQ42_spl
| ~ sQ59_spl
| c0_1(a52)
| c2_1(a52) ),
inference(resolution,[status(thm)],[f353,f290]) ).
fof(f382,plain,
( sQ42_spl
| ~ sQ59_spl
| sQ60_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f381,f216,f361,f352,f288]) ).
fof(f383,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| c3_1(X0)
| ~ c2_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f339,f346]) ).
fof(f384,plain,
( ~ sQ13_spl
| ~ sQ55_spl
| ~ sQ57_spl
| c3_1(a60) ),
inference(resolution,[status(thm)],[f383,f173]) ).
fof(f385,plain,
( ~ sQ22_spl
| ~ sQ55_spl
| ~ sQ57_spl
| c3_1(a55) ),
inference(resolution,[status(thm)],[f383,f209]) ).
fof(f386,plain,
( ~ sQ24_spl
| ~ sQ55_spl
| ~ sQ57_spl
| c3_1(a52) ),
inference(resolution,[status(thm)],[f383,f217]) ).
fof(f387,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| ~ sQ57_spl
| c3_1(a56) ),
inference(resolution,[status(thm)],[f383,f201]) ).
fof(f388,plain,
( ~ sQ24_spl
| ~ sQ55_spl
| ~ sQ57_spl
| sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f290]) ).
fof(f389,plain,
( ~ sQ24_spl
| ~ sQ55_spl
| ~ sQ57_spl
| sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( ~ sQ61_spl
| ~ sQ54_spl
| c0_1(a60)
| c3_1(a60) ),
inference(resolution,[status(thm)],[f336,f372]) ).
fof(f391,plain,
( ~ sQ62_spl
| ~ sQ54_spl
| c0_1(a56)
| c3_1(a56) ),
inference(resolution,[status(thm)],[f336,f378]) ).
fof(f392,plain,
( ~ sQ27_spl
| ~ sQ54_spl
| c0_1(a51)
| c3_1(a51) ),
inference(resolution,[status(thm)],[f336,f229]) ).
fof(f394,plain,
( ~ sQ61_spl
| ~ sQ54_spl
| sQ14_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f390,f180,f176,f335,f371]) ).
fof(f395,plain,
( ~ sQ62_spl
| ~ sQ54_spl
| sQ38_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f391,f196,f272,f335,f377]) ).
fof(f396,definition,
( sQ63_spl
<=> c3_1(a51) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ63_spl
| c3_1(a51) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( ~ sQ27_spl
| ~ sQ54_spl
| sQ26_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f392,f396,f224,f335,f228]) ).
fof(f401,plain,
( ~ sQ15_spl
| ~ sQ58_spl
| ~ c2_1(a60)
| ~ c0_1(a60) ),
inference(resolution,[status(thm)],[f350,f181]) ).
fof(f402,plain,
( ~ sQ21_spl
| ~ sQ58_spl
| ~ c2_1(a55)
| ~ c0_1(a55) ),
inference(resolution,[status(thm)],[f350,f205]) ).
fof(f403,plain,
( ~ sQ19_spl
| ~ sQ58_spl
| ~ c2_1(a56)
| ~ c0_1(a56) ),
inference(resolution,[status(thm)],[f350,f197]) ).
fof(f404,plain,
( ~ sQ15_spl
| ~ sQ58_spl
| ~ sQ13_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f401,f176,f172,f349,f180]) ).
fof(f405,definition,
( sQ64_spl
<=> c0_1(a55) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ64_spl
| c0_1(a55) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ64_spl
| ~ c0_1(a55) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( ~ sQ21_spl
| ~ sQ58_spl
| ~ sQ22_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f402,f405,f208,f349,f204]) ).
fof(f409,plain,
( ~ sQ19_spl
| ~ sQ58_spl
| ~ sQ20_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f403,f272,f200,f349,f196]) ).
fof(f410,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ54_spl
| c0_1(X0)
| ~ c1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f325,f336]) ).
fof(f411,plain,
( sQ39_spl
| ~ sQ53_spl
| c2_1(a55)
| c0_1(a55) ),
inference(resolution,[status(thm)],[f332,f278]) ).
fof(f412,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ53_spl
| c0_1(X0)
| c3_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(resolution,[status(thm)],[f332,f336]) ).
fof(f413,plain,
( sQ39_spl
| ~ sQ53_spl
| sQ22_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f411,f405,f208,f331,f276]) ).
fof(f414,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ53_spl
| c3_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f412]) ).
fof(f415,plain,
( ~ sQ22_spl
| ~ sQ49_spl
| c0_1(a55)
| c3_1(a55) ),
inference(resolution,[status(thm)],[f317,f209]) ).
fof(f416,plain,
( ~ sQ24_spl
| ~ sQ49_spl
| c0_1(a52)
| c3_1(a52) ),
inference(resolution,[status(thm)],[f317,f217]) ).
fof(f417,plain,
( ~ sQ20_spl
| ~ sQ49_spl
| c0_1(a56)
| c3_1(a56) ),
inference(resolution,[status(thm)],[f317,f201]) ).
fof(f418,plain,
( ~ sQ22_spl
| ~ sQ49_spl
| sQ64_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f415,f204,f405,f316,f208]) ).
fof(f419,plain,
( ~ sQ24_spl
| ~ sQ49_spl
| sQ60_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f416,f288,f361,f316,f216]) ).
fof(f420,plain,
( ~ sQ20_spl
| ~ sQ49_spl
| sQ38_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f417,f196,f272,f316,f200]) ).
fof(f421,plain,
( ~ sQ27_spl
| ~ sQ50_spl
| c0_1(a51)
| c2_1(a51) ),
inference(resolution,[status(thm)],[f321,f229]) ).
fof(f423,plain,
( ~ sQ27_spl
| ~ sQ50_spl
| sQ26_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f421,f292,f224,f320,f228]) ).
fof(f425,plain,
( ~ sQ50_spl
| ~ sQ28_spl
| c0_1(a50)
| c2_1(a50) ),
inference(resolution,[status(thm)],[f233,f321]) ).
fof(f426,plain,
( ~ sQ54_spl
| ~ sQ28_spl
| c0_1(a50)
| c3_1(a50) ),
inference(resolution,[status(thm)],[f233,f336]) ).
fof(f427,plain,
( ~ sQ50_spl
| ~ sQ28_spl
| sQ29_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f425,f296,f236,f232,f320]) ).
fof(f428,definition,
( sQ65_spl
<=> c3_1(a50) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ65_spl
| c3_1(a50) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( ~ sQ54_spl
| ~ sQ28_spl
| sQ29_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f426,f428,f236,f232,f335]) ).
fof(f432,plain,
( ~ sQ28_spl
| ~ sQ51_spl
| ~ sQ54_spl
| c0_1(a50) ),
inference(resolution,[status(thm)],[f410,f233]) ).
fof(f433,plain,
( ~ sQ27_spl
| ~ sQ51_spl
| ~ sQ54_spl
| c0_1(a51) ),
inference(resolution,[status(thm)],[f410,f229]) ).
fof(f434,plain,
( ~ sQ25_spl
| ~ sQ51_spl
| ~ sQ54_spl
| c0_1(a52) ),
inference(resolution,[status(thm)],[f410,f221]) ).
fof(f435,plain,
( ~ sQ51_spl
| ~ sQ54_spl
| ~ sQ32_spl
| c0_1(a53) ),
inference(resolution,[status(thm)],[f249,f410]) ).
fof(f436,plain,
( ~ sQ51_spl
| ~ sQ54_spl
| ~ sQ32_spl
| sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f435,f310]) ).
fof(f437,plain,
( ~ sQ51_spl
| ~ sQ54_spl
| ~ sQ32_spl
| sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( ~ sQ51_spl
| ~ sQ54_spl
| ~ sQ30_spl
| c0_1(a58) ),
inference(resolution,[status(thm)],[f241,f410]) ).
fof(f439,plain,
( ~ sQ51_spl
| ~ sQ54_spl
| ~ sQ30_spl
| sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f438,f302]) ).
fof(f440,plain,
( ~ sQ51_spl
| ~ sQ54_spl
| ~ sQ30_spl
| sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f439]) ).
fof(f453,plain,
( ~ sQ54_spl
| ~ sQ23_spl
| c0_1(a54)
| c3_1(a54) ),
inference(resolution,[status(thm)],[f213,f336]) ).
fof(f454,plain,
( ~ sQ50_spl
| ~ sQ23_spl
| c0_1(a54)
| c2_1(a54) ),
inference(resolution,[status(thm)],[f213,f321]) ).
fof(f455,definition,
( sQ66_spl
<=> c0_1(a54) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ66_spl
| c0_1(a54) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( ~ sQ54_spl
| ~ sQ23_spl
| sQ66_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f453,f280,f455,f212,f335]) ).
fof(f459,plain,
( ~ sQ50_spl
| ~ sQ23_spl
| sQ66_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f454,f284,f455,f212,f320]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ4_spl
| sQ5_spl
| ~ sQ6_spl
| sQ7_spl
| sQ8_spl
| sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ15_spl
| sQ16_spl
| sQ17_spl
| sQ18_spl
| sQ19_spl
| sQ20_spl
| sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| sQ24_spl
| sQ25_spl
| sQ26_spl
| sQ27_spl
| sQ28_spl
| sQ29_spl
| sQ31_spl
| sQ33_spl
| sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ sQ39_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ46_spl
| ~ sQ48_spl
| ~ sQ49_spl
| sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| sQ54_spl
| ~ sQ57_spl
| ~ sQ58_spl
| sQ60_spl
| sQ63_spl
| sQ65_spl
| sQ66_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN494-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.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
% 0.08/0.35 % DateTime : Mon Sep 21 11:04:16 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.12/0.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.041325 seconds
% 0.12/0.40 % CPU time: 0.121517 seconds
% 0.12/0.40 % Total memory used: 17.792 MB
% 0.12/0.40 % Net memory used: 17.728 MB
%------------------------------------------------------------------------------