%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS006-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:00:04 PM UTC 2026
% Result : Satisfiable 0.14s 0.39s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
r1most(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
r(exist,u4r1(exist)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
d(u4r2(exist)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
c(u4r1(exist)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X1] :
( ~ c(X1)
| s2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X1] :
( ~ s2least(X1)
| c(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X1] :
( ~ equalish(u1r2(X1),u1r1(X1))
| ~ s2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X1] :
( ~ s2least(X1)
| s(X1,u1r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X1] :
( ~ s2least(X1)
| s(X1,u1r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X1,X3,X2] :
( ~ s(X1,X2)
| ~ s(X1,X3)
| equalish(X3,X2)
| s2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X1] :
( ~ d(X1)
| s1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X1] :
( ~ s1most(X1)
| d(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X3,X2,X1] :
( ~ s(X1,X2)
| ~ s(X1,X3)
| ~ s1most(X1)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X1] :
( ~ equalish(u3r2(X1),u3r1(X1))
| s1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X1] :
( s(X1,u3r1(X1))
| s1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X1] :
( s(X1,u3r2(X1))
| s1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X1] :
( ~ e(X1)
| d(u4r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X1] :
( ~ e(X1)
| r(X1,u4r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X1] :
( ~ e(X1)
| c(u4r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X1] :
( ~ e(X1)
| r(X1,u4r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X1] :
( ~ e(X1)
| r1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X1,X2,X3] :
( ~ d(X3)
| ~ r(X1,X3)
| ~ c(X2)
| ~ r(X1,X2)
| ~ r1most(X1)
| e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X3,X2,X1] :
( ~ r(X1,X2)
| ~ r(X1,X3)
| ~ r1most(X1)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X1] :
( ~ equalish(u5r2(X1),u5r1(X1))
| r1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X1] :
( r(X1,u5r1(X1))
| r1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X1] :
( r(X1,u5r2(X1))
| r1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,plain,
e(exist),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f29,plain,
r1most(exist),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f30,plain,
r(exist,u4r1(exist)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f31,plain,
d(u4r2(exist)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
c(u4r1(exist)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f33,plain,
! [X0] :
( ~ c(X0)
| s2least(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f34,plain,
! [X0] :
( ~ s2least(X0)
| c(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f35,plain,
! [X0] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ s2least(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f36,plain,
! [X0] :
( ~ s2least(X0)
| s(X0,u1r1(X0)) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f37,plain,
! [X0] :
( ~ s2least(X0)
| s(X0,u1r2(X0)) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f38,plain,
! [X1,X2] :
( ~ s(X1,X2)
| ! [X3] :
( ~ s(X1,X3)
| equalish(X3,X2)
| s2least(X1) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ~ s(X0,X2)
| ~ s(X0,X1)
| equalish(X1,X2)
| s2least(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0] :
( ~ d(X0)
| s1most(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f41,plain,
! [X0] :
( ~ s1most(X0)
| d(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f42,plain,
! [X2,X1] :
( ~ s(X1,X2)
| ! [X3] :
( ~ s(X1,X3)
| ~ s1most(X1)
| equalish(X3,X2) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ s(X2,X1)
| ~ s(X2,X0)
| ~ s1most(X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X0] :
( ~ equalish(u3r2(X0),u3r1(X0))
| s1most(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f45,plain,
! [X0] :
( s(X0,u3r1(X0))
| s1most(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f46,plain,
! [X0] :
( s(X0,u3r2(X0))
| s1most(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f47,plain,
! [X0] :
( ~ e(X0)
| d(u4r2(X0)) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f48,plain,
! [X0] :
( ~ e(X0)
| r(X0,u4r2(X0)) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f49,plain,
! [X0] :
( ~ e(X0)
| c(u4r1(X0)) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f50,plain,
! [X0] :
( ~ e(X0)
| r(X0,u4r1(X0)) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f51,plain,
! [X0] :
( ~ e(X0)
| r1most(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f52,plain,
! [X3] :
( ~ d(X3)
| ! [X1] :
( ~ r(X1,X3)
| ! [X2] :
( ~ c(X2)
| ~ r(X1,X2)
| ~ r1most(X1)
| e(X1) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ d(X2)
| ~ r(X0,X2)
| ~ c(X1)
| ~ r(X0,X1)
| ~ r1most(X0)
| e(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [X2,X1] :
( ~ r(X1,X2)
| ! [X3] :
( ~ r(X1,X3)
| ~ r1most(X1)
| equalish(X3,X2) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ r(X2,X1)
| ~ r(X2,X0)
| ~ r1most(X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [X0] :
( ~ equalish(u5r2(X0),u5r1(X0))
| r1most(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f57,plain,
! [X0] :
( r(X0,u5r1(X0))
| r1most(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f58,plain,
! [X0] :
( r(X0,u5r2(X0))
| r1most(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f59,plain,
s2least(u4r1(exist)),
inference(resolution,[status(thm)],[f33,f32]) ).
fof(f60,plain,
s1most(u4r2(exist)),
inference(resolution,[status(thm)],[f40,f31]) ).
fof(f66,plain,
s(u4r1(exist),u1r1(u4r1(exist))),
inference(resolution,[status(thm)],[f36,f59]) ).
fof(f67,plain,
s(u4r1(exist),u1r2(u4r1(exist))),
inference(resolution,[status(thm)],[f37,f59]) ).
fof(f70,plain,
! [X0,X1] :
( s1most(X0)
| ~ s(X0,X1)
| equalish(X1,u3r2(X0))
| s2least(X0) ),
inference(resolution,[status(thm)],[f39,f46]) ).
fof(f71,plain,
! [X0,X1] :
( s1most(X0)
| ~ s(X0,X1)
| equalish(X1,u3r1(X0))
| s2least(X0) ),
inference(resolution,[status(thm)],[f39,f45]) ).
fof(f76,plain,
! [X0] :
( s1most(X0)
| s1most(X0)
| equalish(u3r2(X0),u3r1(X0))
| s2least(X0) ),
inference(resolution,[status(thm)],[f71,f46]) ).
fof(f78,plain,
! [X0] :
( s1most(X0)
| equalish(u3r2(X0),u3r1(X0))
| s2least(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f76]) ).
fof(f80,plain,
( s1most(u4r1(exist))
| equalish(u1r1(u4r1(exist)),u3r1(u4r1(exist)))
| s2least(u4r1(exist)) ),
inference(resolution,[status(thm)],[f66,f71]) ).
fof(f81,plain,
( s1most(u4r1(exist))
| equalish(u1r1(u4r1(exist)),u3r2(u4r1(exist)))
| s2least(u4r1(exist)) ),
inference(resolution,[status(thm)],[f66,f70]) ).
fof(f82,plain,
! [X0] :
( ~ s(u4r1(exist),X0)
| equalish(X0,u1r1(u4r1(exist)))
| s2least(u4r1(exist)) ),
inference(resolution,[status(thm)],[f66,f39]) ).
fof(f83,plain,
! [X0] :
( ~ s(u4r1(exist),X0)
| ~ s1most(u4r1(exist))
| equalish(X0,u1r1(u4r1(exist))) ),
inference(resolution,[status(thm)],[f66,f43]) ).
fof(f84,definition,
( sQ0_spl
<=> s2least(u4r1(exist)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f87,definition,
( sQ1_spl
<=> equalish(u1r1(u4r1(exist)),u3r1(u4r1(exist))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f90,definition,
( sQ2_spl
<=> s1most(u4r1(exist)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( sQ2_spl
| ~ s1most(u4r1(exist)) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f80,f84,f87,f90]) ).
fof(f94,definition,
( sQ3_spl
<=> equalish(u1r1(u4r1(exist)),u3r2(u4r1(exist))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( sQ2_spl
| sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f81,f84,f94,f90]) ).
fof(f98,definition,
! [X0] :
( sQ4_spl
<=> ( ~ s(u4r1(exist),X0)
| equalish(X0,u1r1(u4r1(exist))) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f99,plain,
! [X0] :
( ~ sQ4_spl
| ~ s(u4r1(exist),X0)
| equalish(X0,u1r1(u4r1(exist))) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f82,f84,f98]) ).
fof(f102,plain,
( ~ sQ2_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f83,f98,f90]) ).
fof(f103,plain,
( s1most(u4r1(exist))
| equalish(u1r2(u4r1(exist)),u3r1(u4r1(exist)))
| s2least(u4r1(exist)) ),
inference(resolution,[status(thm)],[f67,f71]) ).
fof(f104,plain,
( s1most(u4r1(exist))
| equalish(u1r2(u4r1(exist)),u3r2(u4r1(exist)))
| s2least(u4r1(exist)) ),
inference(resolution,[status(thm)],[f67,f70]) ).
fof(f105,plain,
! [X0] :
( ~ s(u4r1(exist),X0)
| equalish(X0,u1r2(u4r1(exist)))
| s2least(u4r1(exist)) ),
inference(resolution,[status(thm)],[f67,f39]) ).
fof(f106,plain,
! [X0] :
( ~ s(u4r1(exist),X0)
| ~ s1most(u4r1(exist))
| equalish(X0,u1r2(u4r1(exist))) ),
inference(resolution,[status(thm)],[f67,f43]) ).
fof(f107,definition,
( sQ5_spl
<=> equalish(u1r2(u4r1(exist)),u3r1(u4r1(exist))) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( sQ2_spl
| sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f103,f84,f107,f90]) ).
fof(f111,definition,
( sQ6_spl
<=> equalish(u1r2(u4r1(exist)),u3r2(u4r1(exist))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( sQ2_spl
| sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f104,f84,f111,f90]) ).
fof(f115,definition,
! [X0] :
( sQ7_spl
<=> ( ~ s(u4r1(exist),X0)
| equalish(X0,u1r2(u4r1(exist))) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f116,plain,
! [X0] :
( ~ sQ7_spl
| ~ s(u4r1(exist),X0)
| equalish(X0,u1r2(u4r1(exist))) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f105,f84,f115]) ).
fof(f119,plain,
( ~ sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f106,f115,f90]) ).
fof(f120,plain,
( ~ sQ4_spl
| equalish(u1r2(u4r1(exist)),u1r1(u4r1(exist))) ),
inference(resolution,[status(thm)],[f99,f67]) ).
fof(f121,plain,
( ~ sQ4_spl
| equalish(u1r1(u4r1(exist)),u1r1(u4r1(exist))) ),
inference(resolution,[status(thm)],[f99,f66]) ).
fof(f122,plain,
( ~ sQ4_spl
| s1most(u4r1(exist))
| equalish(u3r2(u4r1(exist)),u1r1(u4r1(exist))) ),
inference(resolution,[status(thm)],[f99,f46]) ).
fof(f123,plain,
( ~ sQ4_spl
| s1most(u4r1(exist))
| equalish(u3r1(u4r1(exist)),u1r1(u4r1(exist))) ),
inference(resolution,[status(thm)],[f99,f45]) ).
fof(f124,definition,
( sQ8_spl
<=> equalish(u3r2(u4r1(exist)),u1r1(u4r1(exist))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ8_spl
| equalish(u3r2(u4r1(exist)),u1r1(u4r1(exist))) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( ~ sQ4_spl
| sQ2_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f122,f124,f90,f98]) ).
fof(f128,definition,
( sQ9_spl
<=> equalish(u3r1(u4r1(exist)),u1r1(u4r1(exist))) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( ~ sQ9_spl
| equalish(u3r1(u4r1(exist)),u1r1(u4r1(exist))) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,plain,
( ~ sQ4_spl
| sQ2_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f123,f128,f90,f98]) ).
fof(f132,plain,
r(exist,u4r2(exist)),
inference(resolution,[status(thm)],[f48,f28]) ).
fof(f134,plain,
! [X0] :
( ~ d(u4r2(exist))
| ~ c(X0)
| ~ r(exist,X0)
| ~ r1most(exist)
| e(exist) ),
inference(resolution,[status(thm)],[f53,f132]) ).
fof(f135,plain,
! [X0] :
( ~ d(u4r1(exist))
| ~ c(X0)
| ~ r(exist,X0)
| ~ r1most(exist)
| e(exist) ),
inference(resolution,[status(thm)],[f53,f30]) ).
fof(f138,definition,
( sQ10_spl
<=> e(exist) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f141,definition,
( sQ11_spl
<=> r1most(exist) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( sQ11_spl
| ~ r1most(exist) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
! [X0] :
( sQ12_spl
<=> ( ~ c(X0)
| ~ r(exist,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f145,plain,
! [X0] :
( ~ sQ12_spl
| ~ c(X0)
| ~ r(exist,X0) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,definition,
( sQ13_spl
<=> d(u4r2(exist)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ13_spl
| sQ12_spl
| ~ sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f134,f138,f141,f144,f147]) ).
fof(f151,definition,
( sQ14_spl
<=> d(u4r1(exist)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ14_spl
| sQ12_spl
| ~ sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f135,f138,f141,f144,f151]) ).
fof(f155,plain,
( ~ sQ12_spl
| ~ c(u4r2(exist)) ),
inference(resolution,[status(thm)],[f145,f132]) ).
fof(f156,plain,
( ~ sQ12_spl
| ~ c(u4r1(exist)) ),
inference(resolution,[status(thm)],[f145,f30]) ).
fof(f157,plain,
( ~ sQ12_spl
| r1most(exist)
| ~ c(u5r2(exist)) ),
inference(resolution,[status(thm)],[f145,f58]) ).
fof(f158,plain,
( ~ sQ12_spl
| r1most(exist)
| ~ c(u5r1(exist)) ),
inference(resolution,[status(thm)],[f145,f57]) ).
fof(f159,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f156,f32]) ).
fof(f160,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f29]) ).
fof(f162,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f161]) ).
fof(f163,plain,
! [X0] :
( s1most(X0)
| s2least(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f78,f44]) ).
fof(f165,plain,
! [X0] :
( d(X0)
| s2least(X0) ),
inference(resolution,[status(thm)],[f163,f41]) ).
fof(f166,plain,
! [X0] :
( s(X0,u1r2(X0))
| d(X0) ),
inference(resolution,[status(thm)],[f165,f37]) ).
fof(f167,plain,
! [X0] :
( s(X0,u1r1(X0))
| d(X0) ),
inference(resolution,[status(thm)],[f165,f36]) ).
fof(f168,plain,
! [X0] :
( c(X0)
| d(X0) ),
inference(resolution,[status(thm)],[f165,f34]) ).
fof(f174,plain,
! [X0] :
( ~ r(exist,X0)
| ~ r1most(exist)
| equalish(X0,u4r2(exist)) ),
inference(resolution,[status(thm)],[f55,f132]) ).
fof(f175,plain,
! [X0] :
( ~ r(exist,X0)
| ~ r1most(exist)
| equalish(X0,u4r1(exist)) ),
inference(resolution,[status(thm)],[f55,f30]) ).
fof(f178,definition,
! [X0] :
( sQ15_spl
<=> ( ~ r(exist,X0)
| equalish(X0,u4r2(exist)) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f179,plain,
! [X0] :
( ~ sQ15_spl
| ~ r(exist,X0)
| equalish(X0,u4r2(exist)) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( ~ sQ11_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f174,f178,f141]) ).
fof(f182,definition,
! [X0] :
( sQ16_spl
<=> ( ~ r(exist,X0)
| equalish(X0,u4r1(exist)) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f183,plain,
! [X0] :
( ~ sQ16_spl
| ~ r(exist,X0)
| equalish(X0,u4r1(exist)) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( ~ sQ11_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f175,f182,f141]) ).
fof(f186,plain,
( ~ sQ16_spl
| equalish(u4r2(exist),u4r1(exist)) ),
inference(resolution,[status(thm)],[f183,f132]) ).
fof(f187,plain,
( ~ sQ16_spl
| equalish(u4r1(exist),u4r1(exist)) ),
inference(resolution,[status(thm)],[f183,f30]) ).
fof(f188,plain,
( ~ sQ16_spl
| r1most(exist)
| equalish(u5r2(exist),u4r1(exist)) ),
inference(resolution,[status(thm)],[f183,f58]) ).
fof(f189,plain,
( ~ sQ16_spl
| r1most(exist)
| equalish(u5r1(exist),u4r1(exist)) ),
inference(resolution,[status(thm)],[f183,f57]) ).
fof(f190,definition,
( sQ17_spl
<=> equalish(u5r2(exist),u4r1(exist)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ16_spl
| sQ11_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f188,f190,f141,f182]) ).
fof(f194,definition,
( sQ18_spl
<=> equalish(u5r1(exist),u4r1(exist)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ16_spl
| sQ11_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f189,f194,f141,f182]) ).
fof(f198,plain,
( ~ sQ15_spl
| equalish(u4r2(exist),u4r2(exist)) ),
inference(resolution,[status(thm)],[f179,f132]) ).
fof(f199,plain,
( ~ sQ15_spl
| equalish(u4r1(exist),u4r2(exist)) ),
inference(resolution,[status(thm)],[f179,f30]) ).
fof(f200,plain,
( ~ sQ15_spl
| r1most(exist)
| equalish(u5r2(exist),u4r2(exist)) ),
inference(resolution,[status(thm)],[f179,f58]) ).
fof(f201,plain,
( ~ sQ15_spl
| r1most(exist)
| equalish(u5r1(exist),u4r2(exist)) ),
inference(resolution,[status(thm)],[f179,f57]) ).
fof(f202,definition,
( sQ19_spl
<=> equalish(u5r2(exist),u4r2(exist)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ15_spl
| sQ11_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f200,f202,f141,f178]) ).
fof(f206,definition,
( sQ20_spl
<=> equalish(u5r1(exist),u4r2(exist)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ15_spl
| sQ11_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f201,f206,f141,f178]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ2_spl
| sQ8_spl
| sQ9_spl
| sQ10_spl
| sQ11_spl
| ~ sQ12_spl
| sQ15_spl
| sQ16_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS006-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 22:50:25 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.39 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.040508 seconds
% 0.14/0.42 % CPU time: 0.114045 seconds
% 0.14/0.42 % Total memory used: 17.526 MB
% 0.14/0.42 % Net memory used: 17.276 MB
%------------------------------------------------------------------------------