%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN491-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -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 03:19:49 PM UTC 2026
% Result : Satisfiable 0.19s 0.43s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ndr1_0
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( hskp7
| hskp6
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( hskp8
| hskp2
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( c1_1(a24)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( c3_1(a24)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( c0_1(a24)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( c2_1(a20)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( c1_1(a20)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( c1_1(a19)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( c2_1(a19)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( c0_1(a19)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( c1_1(a18)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( c0_1(a18)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( c2_1(a17)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( c0_1(a17)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( c1_1(a17)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( c0_1(a16)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( c1_1(a22)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( c2_1(a21)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( c0_1(a21)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( ~ hskp7
| ~ c0_1(a20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( ~ hskp5
| ~ c2_1(a18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( ~ hskp3
| ~ c3_1(a16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( ~ hskp3
| ~ c1_1(a16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( ~ hskp2
| ~ c1_1(a23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( ~ hskp2
| ~ c2_1(a23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( ~ hskp2
| ~ c0_1(a23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( ~ hskp1
| ~ c2_1(a22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( ~ hskp1
| ~ c3_1(a22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( ~ hskp0
| ~ c1_1(a21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [U,V] :
( hskp4
| c0_1(V)
| c3_1(V)
| c1_1(V)
| c3_1(U)
| c1_1(U)
| c2_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [U,V] :
( c1_1(V)
| c1_1(U)
| c0_1(V)
| c2_1(V)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [U,V] :
( hskp3
| c2_1(U)
| c3_1(V)
| c2_1(V)
| c0_1(V)
| ~ c3_1(U)
| ~ c1_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [U,V] :
( c1_1(V)
| c2_1(V)
| c0_1(V)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ c1_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [U,V] :
( hskp0
| c0_1(V)
| c3_1(U)
| ~ c2_1(V)
| ~ c1_1(V)
| ~ ndr1_0
| ~ c0_1(U)
| ~ c2_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [U,V,W] :
( c3_1(W)
| c1_1(W)
| c0_1(V)
| c1_1(U)
| c0_1(U)
| ~ c0_1(W)
| ~ c3_1(V)
| ~ c2_1(V)
| ~ ndr1_0
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,plain,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( ndr1_0
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f48,plain,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f49,plain,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f50,plain,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f51,plain,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f52,plain,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f53,plain,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f54,plain,
( hskp7
| hskp6
| hskp5 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f55,plain,
( hskp8
| hskp2
| hskp1 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f56,plain,
( c1_1(a24)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f57,plain,
( c3_1(a24)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f58,plain,
( c0_1(a24)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f59,plain,
( c2_1(a20)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f60,plain,
( c1_1(a20)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f61,plain,
( c1_1(a19)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f62,plain,
( c2_1(a19)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f63,plain,
( c0_1(a19)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f64,plain,
( c1_1(a18)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f65,plain,
( c0_1(a18)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f66,plain,
( c2_1(a17)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f67,plain,
( c0_1(a17)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f68,plain,
( c1_1(a17)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f69,plain,
( c0_1(a16)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f70,plain,
( c1_1(a22)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f71,plain,
( c2_1(a21)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f72,plain,
( c0_1(a21)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f73,plain,
( ~ hskp7
| ~ c0_1(a20) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f74,plain,
( ~ hskp5
| ~ c2_1(a18) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f75,plain,
( ~ hskp3
| ~ c3_1(a16) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f76,plain,
( ~ hskp3
| ~ c1_1(a16) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f77,plain,
( ~ hskp2
| ~ c1_1(a23) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f78,plain,
( ~ hskp2
| ~ c2_1(a23) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f79,plain,
( ~ hskp2
| ~ c0_1(a23) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f80,plain,
( ~ hskp1
| ~ c2_1(a22) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f81,plain,
( ~ hskp1
| ~ c3_1(a22) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f82,plain,
( ~ hskp0
| ~ c1_1(a21) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f83,plain,
( hskp4
| ! [V] :
( c0_1(V)
| c3_1(V)
| c1_1(V)
| ! [U] :
( c3_1(U)
| c1_1(U)
| c2_1(U)
| ~ ndr1_0 ) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f84,plain,
! [X0,X1] :
( hskp4
| c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f85,plain,
! [V] :
( c1_1(V)
| ! [U] :
( c1_1(U)
| c0_1(V)
| c2_1(V)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_1(U) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f86,plain,
! [X0,X1] :
( c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
( hskp3
| ! [U] :
( c2_1(U)
| ! [V] :
( c3_1(V)
| c2_1(V)
| c0_1(V)
| ~ c3_1(U)
| ~ c1_1(U)
| ~ ndr1_0 ) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f88,plain,
! [X0,X1] :
( hskp3
| c2_1(X0)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
! [V] :
( c1_1(V)
| c2_1(V)
| c0_1(V)
| ! [U] :
( ~ c2_1(U)
| ~ c3_1(U)
| ~ c1_1(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f90,plain,
! [X0,X1] :
( c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
( hskp0
| ! [V] :
( c0_1(V)
| ! [U] :
( c3_1(U)
| ~ c2_1(V)
| ~ c1_1(V)
| ~ ndr1_0
| ~ c0_1(U)
| ~ c2_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f92,plain,
! [X0,X1] :
( hskp0
| c0_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [W] :
( c3_1(W)
| c1_1(W)
| ! [V] :
( c0_1(V)
| ! [U] :
( c1_1(U)
| c0_1(U)
| ~ c0_1(W)
| ~ c3_1(V)
| ~ c2_1(V)
| ~ ndr1_0
| ~ c3_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f94,plain,
! [X0,X1,X2] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X1)
| c1_1(X0)
| c0_1(X0)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,definition,
( sQ0_spl
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( sQ0_spl
| ~ hskp8 ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f45,f95,f98]) ).
fof(f102,definition,
( sQ2_spl
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( sQ2_spl
| ~ hskp7 ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,plain,
( sQ1_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f46,f102,f98]) ).
fof(f106,definition,
( sQ3_spl
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( ~ sQ3_spl
| hskp6 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f108,plain,
( sQ3_spl
| ~ hskp6 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,plain,
( sQ1_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f47,f106,f98]) ).
fof(f110,definition,
( sQ4_spl
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ4_spl
| hskp5 ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f112,plain,
( sQ4_spl
| ~ hskp5 ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,plain,
( sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f48,f110,f98]) ).
fof(f114,definition,
( sQ5_spl
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ5_spl
| hskp4 ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f116,plain,
( sQ5_spl
| ~ hskp4 ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,plain,
( sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f49,f114,f98]) ).
fof(f118,definition,
( sQ6_spl
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ6_spl
| hskp3 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( sQ6_spl
| ~ hskp3 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f50,f118,f98]) ).
fof(f122,definition,
( sQ7_spl
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f123,plain,
( ~ sQ7_spl
| hskp2 ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,plain,
( sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f122,f98]) ).
fof(f126,definition,
( sQ8_spl
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( sQ8_spl
| ~ hskp1 ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,plain,
( sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f52,f126,f98]) ).
fof(f130,definition,
( sQ9_spl
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( sQ9_spl
| ~ hskp0 ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,plain,
( sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f53,f130,f98]) ).
fof(f134,plain,
( sQ2_spl
| sQ3_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f54,f110,f106,f102]) ).
fof(f135,plain,
( sQ0_spl
| sQ7_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f55,f126,f122,f95]) ).
fof(f136,definition,
( sQ10_spl
<=> c1_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ10_spl
| c1_1(a24) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f56,f95,f136]) ).
fof(f140,definition,
( sQ11_spl
<=> c3_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ11_spl
| c3_1(a24) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( sQ11_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f95,f140]) ).
fof(f144,definition,
( sQ12_spl
<=> c0_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ12_spl
| c0_1(a24) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f58,f95,f144]) ).
fof(f148,definition,
( sQ13_spl
<=> c2_1(a20) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ13_spl
| c2_1(a20) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( sQ13_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f59,f102,f148]) ).
fof(f152,definition,
( sQ14_spl
<=> c1_1(a20) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ14_spl
| c1_1(a20) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f154,plain,
( sQ14_spl
| ~ c1_1(a20) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f60,f102,f152]) ).
fof(f156,definition,
( sQ15_spl
<=> c1_1(a19) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ15_spl
| c1_1(a19) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f158,plain,
( sQ15_spl
| ~ c1_1(a19) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,plain,
( sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f61,f106,f156]) ).
fof(f160,definition,
( sQ16_spl
<=> c2_1(a19) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ16_spl
| c2_1(a19) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f162,plain,
( sQ16_spl
| ~ c2_1(a19) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( sQ16_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f62,f106,f160]) ).
fof(f164,definition,
( sQ17_spl
<=> c0_1(a19) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ17_spl
| c0_1(a19) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( sQ17_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f63,f106,f164]) ).
fof(f168,definition,
( sQ18_spl
<=> c1_1(a18) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ18_spl
| c1_1(a18) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( sQ18_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f64,f110,f168]) ).
fof(f172,definition,
( sQ19_spl
<=> c0_1(a18) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ19_spl
| c0_1(a18) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( sQ19_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f65,f110,f172]) ).
fof(f176,definition,
( sQ20_spl
<=> c2_1(a17) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ20_spl
| c2_1(a17) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( sQ20_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f66,f114,f176]) ).
fof(f180,definition,
( sQ21_spl
<=> c0_1(a17) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ21_spl
| c0_1(a17) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( sQ21_spl
| ~ c0_1(a17) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f67,f114,f180]) ).
fof(f184,definition,
( sQ22_spl
<=> c1_1(a17) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ22_spl
| c1_1(a17) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,plain,
( sQ22_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f68,f114,f184]) ).
fof(f188,definition,
( sQ23_spl
<=> c0_1(a16) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ23_spl
| c0_1(a16) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( sQ23_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f69,f118,f188]) ).
fof(f192,definition,
( sQ24_spl
<=> c1_1(a22) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ24_spl
| c1_1(a22) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( sQ24_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f70,f126,f192]) ).
fof(f196,definition,
( sQ25_spl
<=> c2_1(a21) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ25_spl
| c2_1(a21) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( sQ25_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f71,f130,f196]) ).
fof(f200,definition,
( sQ26_spl
<=> c0_1(a21) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ26_spl
| c0_1(a21) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f202,plain,
( sQ26_spl
| ~ c0_1(a21) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( sQ26_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f72,f130,f200]) ).
fof(f204,definition,
( sQ27_spl
<=> c0_1(a20) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( sQ27_spl
| ~ c0_1(a20) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( ~ sQ2_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f73,f204,f102]) ).
fof(f208,definition,
( sQ28_spl
<=> c2_1(a18) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( sQ28_spl
| ~ c2_1(a18) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( ~ sQ4_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f74,f208,f110]) ).
fof(f212,definition,
( sQ29_spl
<=> c3_1(a16) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( sQ29_spl
| ~ c3_1(a16) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( ~ sQ6_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f75,f212,f118]) ).
fof(f216,definition,
( sQ30_spl
<=> c1_1(a16) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( sQ30_spl
| ~ c1_1(a16) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( ~ sQ6_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f76,f216,f118]) ).
fof(f220,definition,
( sQ31_spl
<=> c1_1(a23) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( sQ31_spl
| ~ c1_1(a23) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( ~ sQ7_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f77,f220,f122]) ).
fof(f224,definition,
( sQ32_spl
<=> c2_1(a23) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( sQ32_spl
| ~ c2_1(a23) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( ~ sQ7_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f78,f224,f122]) ).
fof(f228,definition,
( sQ33_spl
<=> c0_1(a23) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( sQ33_spl
| ~ c0_1(a23) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( ~ sQ7_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f79,f228,f122]) ).
fof(f232,definition,
( sQ34_spl
<=> c2_1(a22) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( sQ34_spl
| ~ c2_1(a22) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( ~ sQ8_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f80,f232,f126]) ).
fof(f236,definition,
( sQ35_spl
<=> c3_1(a22) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ35_spl
| c3_1(a22) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( sQ35_spl
| ~ c3_1(a22) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( ~ sQ8_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f81,f236,f126]) ).
fof(f240,definition,
( sQ36_spl
<=> c1_1(a21) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( sQ36_spl
| ~ c1_1(a21) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( ~ sQ9_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f82,f240,f130]) ).
fof(f244,definition,
! [X0] :
( sQ37_spl
<=> ( c3_1(X0)
| c1_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f245,plain,
! [X0] :
( ~ sQ37_spl
| c3_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
! [X1] :
( sQ38_spl
<=> ( c0_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f248,plain,
! [X0] :
( ~ sQ38_spl
| c0_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( sQ5_spl
| sQ38_spl
| sQ37_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f84,f98,f244,f247,f114]) ).
fof(f251,definition,
! [X0] :
( sQ39_spl
<=> ( c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f252,plain,
! [X0] :
( ~ sQ39_spl
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
! [X1] :
( sQ40_spl
<=> ( c1_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f255,plain,
! [X0] :
( ~ sQ40_spl
| c1_1(X0)
| c0_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( sQ40_spl
| ~ sQ1_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f86,f251,f98,f254]) ).
fof(f258,definition,
! [X0] :
( sQ41_spl
<=> ( c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f259,plain,
! [X0] :
( ~ sQ41_spl
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,definition,
! [X1] :
( sQ42_spl
<=> ( c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f262,plain,
! [X0] :
( ~ sQ42_spl
| c3_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,plain,
( sQ6_spl
| sQ42_spl
| sQ41_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f88,f98,f258,f261,f118]) ).
fof(f265,definition,
! [X0] :
( sQ43_spl
<=> ( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f266,plain,
! [X0] :
( ~ sQ43_spl
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( sQ40_spl
| sQ43_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f90,f98,f265,f254]) ).
fof(f269,definition,
! [X0] :
( sQ44_spl
<=> ( c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f270,plain,
! [X0] :
( ~ sQ44_spl
| c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
! [X1] :
( sQ45_spl
<=> ( c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f273,plain,
! [X0] :
( ~ sQ45_spl
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( sQ9_spl
| sQ45_spl
| ~ sQ1_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f92,f269,f98,f272,f130]) ).
fof(f276,definition,
! [X0] :
( sQ46_spl
<=> ( c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f277,plain,
! [X0] :
( ~ sQ46_spl
| c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
! [X1] :
( sQ47_spl
<=> ( c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f280,plain,
! [X0] :
( ~ sQ47_spl
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
! [X2] :
( sQ48_spl
<=> ( c3_1(X2)
| c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f283,plain,
! [X0] :
( ~ sQ48_spl
| c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( sQ48_spl
| sQ47_spl
| ~ sQ1_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f94,f276,f98,f279,f282]) ).
fof(f286,plain,
( ~ sQ40_spl
| sQ32_spl
| c1_1(a23)
| c0_1(a23) ),
inference(resolution,[status(thm)],[f226,f255]) ).
fof(f287,plain,
( ~ sQ40_spl
| sQ32_spl
| sQ31_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f286,f228,f220,f224,f254]) ).
fof(f288,plain,
( ~ sQ16_spl
| ~ sQ44_spl
| c3_1(a19)
| ~ c0_1(a19) ),
inference(resolution,[status(thm)],[f270,f161]) ).
fof(f289,definition,
( sQ49_spl
<=> c3_1(a19) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ49_spl
| c3_1(a19) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f291,plain,
( sQ49_spl
| ~ c3_1(a19) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( ~ sQ16_spl
| ~ sQ44_spl
| sQ49_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f288,f164,f289,f269,f160]) ).
fof(f293,plain,
( ~ sQ49_spl
| ~ sQ41_spl
| c2_1(a19)
| ~ c1_1(a19) ),
inference(resolution,[status(thm)],[f259,f290]) ).
fof(f294,plain,
( sQ32_spl
| ~ sQ41_spl
| ~ c3_1(a23)
| ~ c1_1(a23) ),
inference(resolution,[status(thm)],[f259,f226]) ).
fof(f295,plain,
( ~ sQ49_spl
| ~ sQ41_spl
| sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f293,f156,f160,f258,f289]) ).
fof(f296,definition,
( sQ50_spl
<=> c3_1(a23) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( ~ sQ50_spl
| c3_1(a23) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f298,plain,
( sQ50_spl
| ~ c3_1(a23) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( sQ32_spl
| ~ sQ41_spl
| ~ sQ50_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f294,f220,f296,f258,f224]) ).
fof(f300,plain,
( sQ32_spl
| ~ sQ37_spl
| c3_1(a23)
| c1_1(a23) ),
inference(resolution,[status(thm)],[f245,f226]) ).
fof(f301,plain,
( sQ32_spl
| ~ sQ37_spl
| sQ50_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f300,f220,f296,f244,f224]) ).
fof(f302,plain,
( ~ sQ17_spl
| ~ sQ48_spl
| c3_1(a19)
| c1_1(a19) ),
inference(resolution,[status(thm)],[f283,f165]) ).
fof(f303,plain,
( ~ sQ17_spl
| ~ sQ48_spl
| sQ49_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f302,f156,f289,f282,f164]) ).
fof(f304,plain,
( ~ sQ49_spl
| ~ sQ39_spl
| c1_1(a19)
| ~ c2_1(a19) ),
inference(resolution,[status(thm)],[f252,f290]) ).
fof(f305,plain,
( ~ sQ49_spl
| ~ sQ39_spl
| sQ15_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f304,f160,f156,f251,f289]) ).
fof(f306,plain,
( ~ sQ39_spl
| ~ sQ50_spl
| c1_1(a23)
| ~ c2_1(a23) ),
inference(resolution,[status(thm)],[f297,f252]) ).
fof(f308,plain,
( ~ sQ39_spl
| ~ sQ50_spl
| sQ31_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f306,f224,f220,f296,f251]) ).
fof(f310,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f259,f311]) ).
fof(f311,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ39_spl
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f266,f252]) ).
fof(f312,plain,
( ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ c3_1(a19) ),
inference(resolution,[status(thm)],[f311,f161]) ).
fof(f313,plain,
( ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f312,f290]) ).
fof(f314,plain,
( ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f313]) ).
fof(f315,plain,
( ~ sQ16_spl
| ~ sQ45_spl
| c0_1(a19)
| ~ c1_1(a19) ),
inference(resolution,[status(thm)],[f273,f161]) ).
fof(f316,plain,
( ~ sQ16_spl
| ~ sQ45_spl
| sQ17_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f315,f156,f164,f272,f160]) ).
fof(f317,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f311]) ).
fof(f318,plain,
( sQ33_spl
| ~ sQ38_spl
| c3_1(a23)
| c1_1(a23) ),
inference(resolution,[status(thm)],[f248,f230]) ).
fof(f319,plain,
( sQ33_spl
| ~ sQ38_spl
| sQ50_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f318,f220,f296,f247,f228]) ).
fof(f320,plain,
( ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ25_spl
| ~ c3_1(a21) ),
inference(resolution,[status(thm)],[f197,f311]) ).
fof(f321,plain,
( ~ sQ50_spl
| ~ sQ41_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ c1_1(a23) ),
inference(resolution,[status(thm)],[f310,f297]) ).
fof(f322,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ41_spl
| ~ sQ43_spl
| ~ sQ39_spl
| c0_1(X0)
| ~ c3_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f310]) ).
fof(f323,plain,
( ~ sQ50_spl
| ~ sQ46_spl
| ~ sQ41_spl
| ~ sQ43_spl
| ~ sQ39_spl
| c0_1(a23) ),
inference(resolution,[status(thm)],[f322,f297]) ).
fof(f324,plain,
( ~ sQ50_spl
| ~ sQ46_spl
| ~ sQ41_spl
| ~ sQ43_spl
| ~ sQ39_spl
| sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f323,f230]) ).
fof(f325,plain,
( ~ sQ50_spl
| ~ sQ46_spl
| ~ sQ41_spl
| ~ sQ43_spl
| ~ sQ39_spl
| sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( sQ34_spl
| ~ sQ42_spl
| c3_1(a22)
| c0_1(a22) ),
inference(resolution,[status(thm)],[f262,f234]) ).
fof(f327,plain,
( sQ28_spl
| ~ sQ42_spl
| c3_1(a18)
| c0_1(a18) ),
inference(resolution,[status(thm)],[f262,f210]) ).
fof(f328,plain,
( sQ32_spl
| ~ sQ42_spl
| c3_1(a23)
| c0_1(a23) ),
inference(resolution,[status(thm)],[f262,f226]) ).
fof(f330,definition,
( sQ51_spl
<=> c0_1(a22) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ51_spl
| c0_1(a22) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( sQ34_spl
| ~ sQ42_spl
| sQ35_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f326,f330,f236,f261,f232]) ).
fof(f334,definition,
( sQ52_spl
<=> c3_1(a18) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ52_spl
| c3_1(a18) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( sQ28_spl
| ~ sQ42_spl
| sQ52_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f327,f172,f334,f261,f208]) ).
fof(f338,plain,
( sQ32_spl
| ~ sQ42_spl
| sQ50_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f328,f228,f296,f261,f224]) ).
fof(f339,plain,
( ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ20_spl
| ~ c3_1(a17) ),
inference(resolution,[status(thm)],[f177,f311]) ).
fof(f340,plain,
( ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ13_spl
| ~ c3_1(a20) ),
inference(resolution,[status(thm)],[f149,f311]) ).
fof(f341,plain,
( ~ sQ13_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ c0_1(a20) ),
inference(resolution,[status(thm)],[f317,f149]) ).
fof(f342,plain,
( ~ sQ20_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ c0_1(a17) ),
inference(resolution,[status(thm)],[f317,f177]) ).
fof(f343,plain,
( ~ sQ25_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ c0_1(a21) ),
inference(resolution,[status(thm)],[f317,f197]) ).
fof(f344,plain,
( ~ sQ20_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f342,f181]) ).
fof(f345,plain,
( ~ sQ20_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f344]) ).
fof(f346,plain,
( ~ sQ25_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f343,f201]) ).
fof(f347,plain,
( ~ sQ25_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f346]) ).
fof(f348,plain,
( sQ16_spl
| ~ sQ37_spl
| c3_1(a19)
| c1_1(a19) ),
inference(resolution,[status(thm)],[f245,f162]) ).
fof(f349,plain,
( sQ28_spl
| ~ sQ37_spl
| c3_1(a18)
| c1_1(a18) ),
inference(resolution,[status(thm)],[f245,f210]) ).
fof(f351,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ37_spl
| ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(resolution,[status(thm)],[f245,f317]) ).
fof(f353,plain,
( sQ16_spl
| ~ sQ37_spl
| sQ49_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f348,f156,f289,f244,f160]) ).
fof(f354,plain,
( sQ28_spl
| ~ sQ37_spl
| sQ52_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f349,f168,f334,f244,f208]) ).
fof(f356,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ37_spl
| c3_1(a22)
| c1_1(a22) ),
inference(resolution,[status(thm)],[f351,f331]) ).
fof(f357,plain,
( ~ sQ23_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ37_spl
| c3_1(a16)
| c1_1(a16) ),
inference(resolution,[status(thm)],[f351,f189]) ).
fof(f358,plain,
( ~ sQ19_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ37_spl
| c3_1(a18)
| c1_1(a18) ),
inference(resolution,[status(thm)],[f351,f173]) ).
fof(f359,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ37_spl
| sQ35_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f356,f192,f236,f244,f251,f265,f269,f330]) ).
fof(f360,plain,
( ~ sQ23_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ37_spl
| sQ29_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f357,f216,f212,f244,f251,f265,f269,f188]) ).
fof(f361,plain,
( ~ sQ19_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ39_spl
| ~ sQ37_spl
| sQ52_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f358,f168,f334,f244,f251,f265,f269,f172]) ).
fof(f364,plain,
( ~ sQ20_spl
| ~ sQ45_spl
| c0_1(a17)
| ~ c1_1(a17) ),
inference(resolution,[status(thm)],[f273,f177]) ).
fof(f365,plain,
( ~ sQ13_spl
| ~ sQ45_spl
| c0_1(a20)
| ~ c1_1(a20) ),
inference(resolution,[status(thm)],[f273,f149]) ).
fof(f366,plain,
( ~ sQ20_spl
| ~ sQ45_spl
| sQ21_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f364,f184,f180,f272,f176]) ).
fof(f367,plain,
( ~ sQ13_spl
| ~ sQ45_spl
| sQ27_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f365,f152,f204,f272,f148]) ).
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
| sQ13_spl
| ~ sQ14_spl
| sQ15_spl
| ~ sQ16_spl
| sQ18_spl
| sQ19_spl
| sQ20_spl
| sQ21_spl
| sQ22_spl
| sQ23_spl
| sQ24_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| sQ39_spl
| ~ sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| sQ43_spl
| ~ sQ44_spl
| sQ45_spl
| sQ47_spl
| sQ50_spl
| sQ52_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN491-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39 % Computer : n003.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Mon Sep 21 11:04:01 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.41 % Drodi V4.1.1
% 0.19/0.43 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.19/0.43 % SZS output start Saturation for theBenchmark
% See solution above
% 0.19/0.48 % Elapsed time: 0.074813 seconds
% 0.19/0.48 % CPU time: 0.058409 seconds
% 0.19/0.48 % Total memory used: 620.912 KB
% 0.19/0.48 % Net memory used: 618.224 KB
%------------------------------------------------------------------------------