%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN493-1 : 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 : n026.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 0.09s 0.40s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ndr1_0
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( ndr1_0
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ndr1_0
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( hskp7
| hskp2
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( c3_1(a47)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( c1_1(a47)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( c0_1(a46)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( c1_1(a46)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( c3_1(a46)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( c3_1(a45)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( c2_1(a45)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( c1_1(a45)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( c1_1(a44)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( c0_1(a44)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( c3_1(a44)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( c3_1(a42)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( c2_1(a42)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( c1_1(a40)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( c2_1(a38)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( c3_1(a48)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( c0_1(a48)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( c3_1(a43)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( c3_1(a41)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( ~ hskp10
| ~ c0_1(a47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( ~ hskp6
| ~ c0_1(a42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( ~ hskp5
| ~ c0_1(a40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( ~ hskp5
| ~ c2_1(a40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( ~ hskp4
| ~ c0_1(a38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( ~ hskp4
| ~ c1_1(a38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( ~ hskp3
| ~ c1_1(a48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( ~ hskp2
| ~ c0_1(a43) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( ~ hskp2
| ~ c1_1(a43) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( ~ hskp1
| ~ c2_1(a41) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( ~ hskp1
| ~ c0_1(a41) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( ~ hskp0
| ~ c0_1(a39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( ~ hskp0
| ~ c1_1(a39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( ~ hskp0
| ~ c2_1(a39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [U] :
( hskp1
| hskp5
| c3_1(U)
| c2_1(U)
| c0_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
! [U] :
( hskp0
| hskp4
| c0_1(U)
| c1_1(U)
| ~ ndr1_0
| ~ c2_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [U,V] :
( hskp8
| c1_1(V)
| c2_1(V)
| c0_1(V)
| ~ c3_1(U)
| ~ c1_1(U)
| ~ c0_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
! [U,V] :
( hskp9
| c3_1(V)
| c0_1(V)
| ~ c1_1(V)
| ~ ndr1_0
| ~ c0_1(U)
| ~ c1_1(U)
| ~ c2_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [U,V] :
( hskp10
| c0_1(V)
| c2_1(U)
| ~ c3_1(V)
| ~ c2_1(V)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [U,V] :
( hskp3
| c0_1(V)
| ~ c1_1(V)
| ~ c2_1(V)
| ~ ndr1_0
| ~ c0_1(U)
| ~ c1_1(U)
| ~ c2_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [U,V,W] :
( c2_1(W)
| c1_1(W)
| c1_1(V)
| c0_1(V)
| ~ c3_1(W)
| ~ c3_1(V)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c0_1(U)
| ~ c2_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,plain,
( ndr1_0
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f54,plain,
( ndr1_0
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f56,plain,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f57,plain,
( ndr1_0
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f58,plain,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f59,plain,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f60,plain,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f61,plain,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f62,plain,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f63,plain,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f64,plain,
( hskp7
| hskp2
| hskp6 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f65,plain,
( c3_1(a47)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f66,plain,
( c1_1(a47)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f67,plain,
( c0_1(a46)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f68,plain,
( c1_1(a46)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f69,plain,
( c3_1(a46)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f70,plain,
( c3_1(a45)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f71,plain,
( c2_1(a45)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f72,plain,
( c1_1(a45)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f73,plain,
( c1_1(a44)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f74,plain,
( c0_1(a44)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f75,plain,
( c3_1(a44)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f76,plain,
( c3_1(a42)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f77,plain,
( c2_1(a42)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f78,plain,
( c1_1(a40)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f79,plain,
( c2_1(a38)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f80,plain,
( c3_1(a48)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f81,plain,
( c0_1(a48)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f82,plain,
( c3_1(a43)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f83,plain,
( c3_1(a41)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f84,plain,
( ~ hskp10
| ~ c0_1(a47) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f85,plain,
( ~ hskp6
| ~ c0_1(a42) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f86,plain,
( ~ hskp5
| ~ c0_1(a40) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f87,plain,
( ~ hskp5
| ~ c2_1(a40) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f88,plain,
( ~ hskp4
| ~ c0_1(a38) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f89,plain,
( ~ hskp4
| ~ c1_1(a38) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f90,plain,
( ~ hskp3
| ~ c1_1(a48) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f91,plain,
( ~ hskp2
| ~ c0_1(a43) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f92,plain,
( ~ hskp2
| ~ c1_1(a43) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f93,plain,
( ~ hskp1
| ~ c2_1(a41) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f94,plain,
( ~ hskp1
| ~ c0_1(a41) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f95,plain,
( ~ hskp0
| ~ c0_1(a39) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f96,plain,
( ~ hskp0
| ~ c1_1(a39) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f97,plain,
( ~ hskp0
| ~ c2_1(a39) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f98,plain,
( hskp1
| hskp5
| ! [U] :
( c3_1(U)
| c2_1(U)
| c0_1(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f99,plain,
! [X0] :
( hskp1
| hskp5
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f100,plain,
( hskp0
| hskp4
| ! [U] :
( c0_1(U)
| c1_1(U)
| ~ ndr1_0
| ~ c2_1(U) ) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f101,plain,
! [X0] :
( hskp0
| hskp4
| c0_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f102,plain,
( hskp8
| ! [V] :
( c1_1(V)
| c2_1(V)
| c0_1(V)
| ! [U] :
( ~ c3_1(U)
| ~ c1_1(U)
| ~ c0_1(U)
| ~ ndr1_0 ) ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f103,plain,
! [X0,X1] :
( hskp8
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f104,plain,
( hskp9
| ! [V] :
( c3_1(V)
| c0_1(V)
| ~ c1_1(V)
| ~ ndr1_0
| ! [U] :
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c2_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f105,plain,
! [X0,X1] :
( hskp9
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
( hskp10
| ! [V] :
( c0_1(V)
| ! [U] :
( c2_1(U)
| ~ c3_1(V)
| ~ c2_1(V)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f107,plain,
! [X0,X1] :
( hskp10
| c0_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f108,plain,
( hskp3
| ! [V] :
( c0_1(V)
| ~ c1_1(V)
| ~ c2_1(V)
| ~ ndr1_0
| ! [U] :
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c2_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f109,plain,
! [X0,X1] :
( hskp3
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,plain,
! [W] :
( c2_1(W)
| c1_1(W)
| ! [V] :
( c1_1(V)
| c0_1(V)
| ~ c3_1(W)
| ~ c3_1(V)
| ~ ndr1_0
| ! [U] :
( ~ c1_1(U)
| ~ c0_1(U)
| ~ c2_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f111,plain,
! [X0,X1,X2] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f112,definition,
( sQ0_spl
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ0_spl
| hskp10 ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f114,plain,
( sQ0_spl
| ~ hskp10 ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f53,f112,f115]) ).
fof(f119,definition,
( sQ2_spl
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( sQ2_spl
| ~ hskp9 ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,plain,
( sQ1_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f54,f119,f115]) ).
fof(f123,definition,
( sQ3_spl
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( sQ3_spl
| ~ hskp8 ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,plain,
( sQ1_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f55,f123,f115]) ).
fof(f127,definition,
( sQ4_spl
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( sQ4_spl
| ~ hskp7 ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f56,f127,f115]) ).
fof(f131,definition,
( sQ5_spl
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( ~ sQ5_spl
| hskp6 ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,plain,
( sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f131,f115]) ).
fof(f135,definition,
( sQ6_spl
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ6_spl
| hskp5 ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,plain,
( sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f58,f135,f115]) ).
fof(f139,definition,
( sQ7_spl
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ7_spl
| hskp4 ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f59,f139,f115]) ).
fof(f143,definition,
( sQ8_spl
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( sQ8_spl
| ~ hskp3 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f60,f143,f115]) ).
fof(f147,definition,
( sQ9_spl
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( sQ9_spl
| ~ hskp2 ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f61,f147,f115]) ).
fof(f151,definition,
( sQ10_spl
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( sQ10_spl
| ~ hskp1 ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,plain,
( sQ1_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f62,f151,f115]) ).
fof(f155,definition,
( sQ11_spl
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( sQ11_spl
| ~ hskp0 ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( sQ1_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f63,f155,f115]) ).
fof(f159,plain,
( sQ4_spl
| sQ9_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f64,f131,f147,f127]) ).
fof(f160,definition,
( sQ12_spl
<=> c3_1(a47) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ12_spl
| c3_1(a47) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f65,f112,f160]) ).
fof(f164,definition,
( sQ13_spl
<=> c1_1(a47) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ13_spl
| c1_1(a47) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( sQ13_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f66,f112,f164]) ).
fof(f168,definition,
( sQ14_spl
<=> c0_1(a46) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f67,f119,f168]) ).
fof(f172,definition,
( sQ15_spl
<=> c1_1(a46) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( sQ15_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f68,f119,f172]) ).
fof(f176,definition,
( sQ16_spl
<=> c3_1(a46) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( sQ16_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f69,f119,f176]) ).
fof(f180,definition,
( sQ17_spl
<=> c3_1(a45) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( sQ17_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f70,f123,f180]) ).
fof(f184,definition,
( sQ18_spl
<=> c2_1(a45) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( sQ18_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f71,f123,f184]) ).
fof(f188,definition,
( sQ19_spl
<=> c1_1(a45) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f72,f123,f188]) ).
fof(f192,definition,
( sQ20_spl
<=> c1_1(a44) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f73,f127,f192]) ).
fof(f196,definition,
( sQ21_spl
<=> c0_1(a44) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( sQ21_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f74,f127,f196]) ).
fof(f200,definition,
( sQ22_spl
<=> c3_1(a44) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( sQ22_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f75,f127,f200]) ).
fof(f204,definition,
( sQ23_spl
<=> c3_1(a42) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ23_spl
| c3_1(a42) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( sQ23_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f76,f131,f204]) ).
fof(f208,definition,
( sQ24_spl
<=> c2_1(a42) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ24_spl
| c2_1(a42) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( sQ24_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f77,f131,f208]) ).
fof(f212,definition,
( sQ25_spl
<=> c1_1(a40) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ25_spl
| c1_1(a40) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ25_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f78,f135,f212]) ).
fof(f216,definition,
( sQ26_spl
<=> c2_1(a38) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ26_spl
| c2_1(a38) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( sQ26_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f79,f139,f216]) ).
fof(f220,definition,
( sQ27_spl
<=> c3_1(a48) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( sQ27_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f80,f143,f220]) ).
fof(f224,definition,
( sQ28_spl
<=> c0_1(a48) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( sQ28_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f81,f143,f224]) ).
fof(f228,definition,
( sQ29_spl
<=> c3_1(a43) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( sQ29_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f82,f147,f228]) ).
fof(f232,definition,
( sQ30_spl
<=> c3_1(a41) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( sQ30_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f83,f151,f232]) ).
fof(f236,definition,
( sQ31_spl
<=> c0_1(a47) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( sQ31_spl
| ~ c0_1(a47) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( ~ sQ0_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f84,f236,f112]) ).
fof(f240,definition,
( sQ32_spl
<=> c0_1(a42) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( sQ32_spl
| ~ c0_1(a42) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( ~ sQ5_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f85,f240,f131]) ).
fof(f244,definition,
( sQ33_spl
<=> c0_1(a40) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( sQ33_spl
| ~ c0_1(a40) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( ~ sQ6_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f86,f244,f135]) ).
fof(f248,definition,
( sQ34_spl
<=> c2_1(a40) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( sQ34_spl
| ~ c2_1(a40) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( ~ sQ6_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f87,f248,f135]) ).
fof(f252,definition,
( sQ35_spl
<=> c0_1(a38) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( sQ35_spl
| ~ c0_1(a38) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( ~ sQ7_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f88,f252,f139]) ).
fof(f256,definition,
( sQ36_spl
<=> c1_1(a38) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( sQ36_spl
| ~ c1_1(a38) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,plain,
( ~ sQ7_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f89,f256,f139]) ).
fof(f260,definition,
( sQ37_spl
<=> c1_1(a48) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ8_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f90,f260,f143]) ).
fof(f264,definition,
( sQ38_spl
<=> c0_1(a43) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ9_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f91,f264,f147]) ).
fof(f268,definition,
( sQ39_spl
<=> c1_1(a43) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ9_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f92,f268,f147]) ).
fof(f272,definition,
( sQ40_spl
<=> c2_1(a41) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( ~ sQ10_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f93,f272,f151]) ).
fof(f276,definition,
( sQ41_spl
<=> c0_1(a41) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ10_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f94,f276,f151]) ).
fof(f280,definition,
( sQ42_spl
<=> c0_1(a39) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ11_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f95,f280,f155]) ).
fof(f284,definition,
( sQ43_spl
<=> c1_1(a39) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f96,f284,f155]) ).
fof(f288,definition,
( sQ44_spl
<=> c2_1(a39) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ11_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f97,f288,f155]) ).
fof(f292,definition,
! [X0] :
( sQ45_spl
<=> ( c3_1(X0)
| c2_1(X0)
| c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( sQ10_spl
| sQ6_spl
| sQ45_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f99,f115,f292,f135,f151]) ).
fof(f296,definition,
! [X0] :
( sQ46_spl
<=> ( c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( sQ11_spl
| sQ7_spl
| ~ sQ1_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f101,f296,f115,f139,f155]) ).
fof(f300,definition,
! [X0] :
( sQ47_spl
<=> ( ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f301,plain,
! [X0] :
( ~ sQ47_spl
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,definition,
! [X1] :
( sQ48_spl
<=> ( c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( sQ3_spl
| sQ48_spl
| sQ47_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f103,f115,f300,f303,f123]) ).
fof(f307,definition,
! [X0] :
( sQ49_spl
<=> ( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f308,plain,
! [X0] :
( ~ sQ49_spl
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
! [X1] :
( sQ50_spl
<=> ( c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( sQ2_spl
| sQ50_spl
| ~ sQ1_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f105,f307,f115,f310,f119]) ).
fof(f314,definition,
! [X0] :
( sQ51_spl
<=> ( c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f315,plain,
! [X0] :
( ~ sQ51_spl
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
! [X1] :
( sQ52_spl
<=> ( c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f318,plain,
! [X0] :
( ~ sQ52_spl
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( sQ0_spl
| sQ52_spl
| ~ sQ1_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f107,f314,f115,f317,f112]) ).
fof(f321,definition,
! [X1] :
( sQ53_spl
<=> ( c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( sQ8_spl
| sQ53_spl
| ~ sQ1_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f109,f307,f115,f321,f143]) ).
fof(f325,definition,
! [X1] :
( sQ54_spl
<=> ( c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f328,definition,
! [X2] :
( sQ55_spl
<=> ( c2_1(X2)
| c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( sQ55_spl
| sQ54_spl
| ~ sQ1_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f111,f307,f115,f325,f328]) ).
fof(f332,plain,
( ~ sQ49_spl
| ~ sQ24_spl
| ~ c0_1(a42)
| ~ c1_1(a42) ),
inference(resolution,[status(thm)],[f209,f308]) ).
fof(f333,definition,
( sQ56_spl
<=> c1_1(a42) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ32_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f332,f333,f240,f208,f307]) ).
fof(f337,plain,
( ~ sQ49_spl
| ~ sQ26_spl
| ~ c0_1(a38)
| ~ c1_1(a38) ),
inference(resolution,[status(thm)],[f217,f308]) ).
fof(f338,plain,
( ~ sQ49_spl
| ~ sQ26_spl
| ~ sQ35_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f337,f256,f252,f216,f307]) ).
fof(f339,plain,
( ~ sQ25_spl
| ~ sQ51_spl
| c2_1(a40)
| ~ c3_1(a40) ),
inference(resolution,[status(thm)],[f315,f213]) ).
fof(f340,definition,
( sQ57_spl
<=> c3_1(a40) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( sQ57_spl
| ~ c3_1(a40) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( ~ sQ25_spl
| ~ sQ51_spl
| sQ34_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f339,f340,f248,f314,f212]) ).
fof(f344,plain,
( ~ sQ23_spl
| ~ sQ52_spl
| c0_1(a42)
| ~ c2_1(a42) ),
inference(resolution,[status(thm)],[f318,f205]) ).
fof(f345,plain,
( ~ sQ23_spl
| ~ sQ52_spl
| sQ32_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f344,f208,f240,f317,f204]) ).
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
| sQ23_spl
| sQ24_spl
| sQ25_spl
| sQ26_spl
| ~ sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| sQ47_spl
| sQ49_spl
| ~ sQ52_spl
| ~ sQ57_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN493-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:05:23 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.09/0.40 % SZS output start Saturation for theBenchmark
% See solution above
% 0.16/0.54 % Elapsed time: 0.154197 seconds
% 0.16/0.54 % CPU time: 0.171118 seconds
% 0.16/0.54 % Total memory used: 17.950 MB
% 0.16/0.54 % Net memory used: 17.886 MB
%------------------------------------------------------------------------------