%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS007-1 : 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 : n019.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 0.17s 0.50s
% Output : Saturation 0.17s
% 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,
~ f(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X1] :
( ~ c(X1)
| s2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X1] :
( ~ s2least(X1)
| c(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X1] :
( ~ equalish(u1r2(X1),u1r1(X1))
| ~ s2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X1] :
( ~ s2least(X1)
| s(X1,u1r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X1] :
( ~ s2least(X1)
| s(X1,u1r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X1,X3,X2] :
( ~ s(X1,X2)
| ~ s(X1,X3)
| equalish(X3,X2)
| s2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X1] :
( ~ d(X1)
| s1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X1] :
( ~ s1most(X1)
| d(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X3,X2,X1] :
( ~ s(X1,X2)
| ~ s(X1,X3)
| ~ s1most(X1)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X1] :
( ~ equalish(u3r2(X1),u3r1(X1))
| s1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X1] :
( s(X1,u3r1(X1))
| s1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X1] :
( s(X1,u3r2(X1))
| s1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X1] :
( ~ e(X1)
| d(u4r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X1] :
( ~ e(X1)
| r(X1,u4r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X1] :
( ~ e(X1)
| c(u4r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X1] :
( ~ e(X1)
| r(X1,u4r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X1] :
( ~ e(X1)
| r(X1,u4r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X1,X2,X3,X4] :
( ~ d(X4)
| ~ r(X1,X4)
| ~ c(X3)
| ~ r(X1,X3)
| ~ r(X1,X2)
| e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X1] :
( ~ f(X1)
| r2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X1] :
( ~ r2least(X1)
| f(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X1] :
( ~ equalish(u6r2(X1),u6r1(X1))
| ~ r2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X1] :
( ~ r2least(X1)
| r(X1,u6r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X1] :
( ~ r2least(X1)
| r(X1,u6r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X1,X3,X2] :
( ~ r(X1,X2)
| ~ r(X1,X3)
| equalish(X3,X2)
| r2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,plain,
e(exist),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f28,plain,
~ f(exist),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f29,plain,
! [X0] :
( ~ c(X0)
| s2least(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f30,plain,
! [X0] :
( ~ s2least(X0)
| c(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
! [X0] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ s2least(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f32,plain,
! [X0] :
( ~ s2least(X0)
| s(X0,u1r1(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f33,plain,
! [X0] :
( ~ s2least(X0)
| s(X0,u1r2(X0)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f34,plain,
! [X1,X2] :
( ~ s(X1,X2)
| ! [X3] :
( ~ s(X1,X3)
| equalish(X3,X2)
| s2least(X1) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ s(X0,X2)
| ~ s(X0,X1)
| equalish(X1,X2)
| s2least(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0] :
( ~ d(X0)
| s1most(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f37,plain,
! [X0] :
( ~ s1most(X0)
| d(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f38,plain,
! [X2,X1] :
( ~ s(X1,X2)
| ! [X3] :
( ~ s(X1,X3)
| ~ s1most(X1)
| equalish(X3,X2) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ~ s(X2,X1)
| ~ s(X2,X0)
| ~ s1most(X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0] :
( ~ equalish(u3r2(X0),u3r1(X0))
| s1most(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f41,plain,
! [X0] :
( s(X0,u3r1(X0))
| s1most(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f42,plain,
! [X0] :
( s(X0,u3r2(X0))
| s1most(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f43,plain,
! [X0] :
( ~ e(X0)
| d(u4r3(X0)) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f44,plain,
! [X0] :
( ~ e(X0)
| r(X0,u4r3(X0)) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f45,plain,
! [X0] :
( ~ e(X0)
| c(u4r2(X0)) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f46,plain,
! [X0] :
( ~ e(X0)
| r(X0,u4r2(X0)) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f47,plain,
! [X0] :
( ~ e(X0)
| r(X0,u4r1(X0)) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f48,plain,
! [X4] :
( ~ d(X4)
| ! [X1] :
( ~ r(X1,X4)
| ! [X3] :
( ~ c(X3)
| ~ r(X1,X3)
| ! [X2] : ~ r(X1,X2)
| e(X1) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ d(X3)
| ~ r(X0,X3)
| ~ c(X2)
| ~ r(X0,X2)
| ~ r(X0,X1)
| e(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [X0] :
( ~ f(X0)
| r2least(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f51,plain,
! [X0] :
( ~ r2least(X0)
| f(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f52,plain,
! [X0] :
( ~ equalish(u6r2(X0),u6r1(X0))
| ~ r2least(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f53,plain,
! [X0] :
( ~ r2least(X0)
| r(X0,u6r1(X0)) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f54,plain,
! [X0] :
( ~ r2least(X0)
| r(X0,u6r2(X0)) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f55,plain,
! [X1,X2] :
( ~ r(X1,X2)
| ! [X3] :
( ~ r(X1,X3)
| equalish(X3,X2)
| r2least(X1) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ~ r(X0,X2)
| ~ r(X0,X1)
| equalish(X1,X2)
| r2least(X0) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
d(u4r3(exist)),
inference(resolution,[status(thm)],[f43,f27]) ).
fof(f58,plain,
s1most(u4r3(exist)),
inference(resolution,[status(thm)],[f57,f36]) ).
fof(f60,plain,
c(u4r2(exist)),
inference(resolution,[status(thm)],[f45,f27]) ).
fof(f61,plain,
s2least(u4r2(exist)),
inference(resolution,[status(thm)],[f60,f29]) ).
fof(f65,plain,
! [X0,X1] :
( s1most(X0)
| ~ s(X0,X1)
| equalish(X1,u3r1(X0))
| s2least(X0) ),
inference(resolution,[status(thm)],[f35,f41]) ).
fof(f70,plain,
! [X0] :
( s1most(X0)
| s1most(X0)
| equalish(u3r2(X0),u3r1(X0))
| s2least(X0) ),
inference(resolution,[status(thm)],[f65,f42]) ).
fof(f72,plain,
! [X0] :
( s1most(X0)
| equalish(u3r2(X0),u3r1(X0))
| s2least(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f70]) ).
fof(f73,plain,
! [X0] :
( s1most(X0)
| s2least(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f72,f40]) ).
fof(f75,plain,
! [X0] :
( d(X0)
| s2least(X0) ),
inference(resolution,[status(thm)],[f73,f37]) ).
fof(f76,plain,
! [X0] :
( s(X0,u1r2(X0))
| d(X0) ),
inference(resolution,[status(thm)],[f75,f33]) ).
fof(f77,plain,
! [X0] :
( s(X0,u1r1(X0))
| d(X0) ),
inference(resolution,[status(thm)],[f75,f32]) ).
fof(f78,plain,
! [X0] :
( c(X0)
| d(X0) ),
inference(resolution,[status(thm)],[f75,f30]) ).
fof(f81,plain,
! [X0] :
( s1most(X0)
| c(X0) ),
inference(resolution,[status(thm)],[f78,f36]) ).
fof(f85,plain,
s(u4r2(exist),u1r2(u4r2(exist))),
inference(resolution,[status(thm)],[f61,f33]) ).
fof(f86,plain,
s(u4r2(exist),u1r1(u4r2(exist))),
inference(resolution,[status(thm)],[f61,f32]) ).
fof(f88,plain,
! [X0] :
( ~ s(u4r2(exist),X0)
| equalish(X0,u1r2(u4r2(exist)))
| s2least(u4r2(exist)) ),
inference(resolution,[status(thm)],[f85,f35]) ).
fof(f89,plain,
! [X0] :
( ~ s(u4r2(exist),X0)
| ~ s1most(u4r2(exist))
| equalish(X0,u1r2(u4r2(exist))) ),
inference(resolution,[status(thm)],[f85,f39]) ).
fof(f90,definition,
( sQ0_spl
<=> s2least(u4r2(exist)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f93,definition,
! [X0] :
( sQ1_spl
<=> ( ~ s(u4r2(exist),X0)
| equalish(X0,u1r2(u4r2(exist))) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f94,plain,
! [X0] :
( ~ sQ1_spl
| ~ s(u4r2(exist),X0)
| equalish(X0,u1r2(u4r2(exist))) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f88,f90,f93]) ).
fof(f97,definition,
( sQ2_spl
<=> s1most(u4r2(exist)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ2_spl
| s1most(u4r2(exist)) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f99,plain,
( sQ2_spl
| ~ s1most(u4r2(exist)) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( ~ sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f89,f93,f97]) ).
fof(f101,plain,
! [X0] :
( ~ s(u4r2(exist),X0)
| equalish(X0,u1r1(u4r2(exist)))
| s2least(u4r2(exist)) ),
inference(resolution,[status(thm)],[f86,f35]) ).
fof(f102,plain,
! [X0] :
( ~ s(u4r2(exist),X0)
| ~ s1most(u4r2(exist))
| equalish(X0,u1r1(u4r2(exist))) ),
inference(resolution,[status(thm)],[f86,f39]) ).
fof(f103,definition,
! [X0] :
( sQ3_spl
<=> ( ~ s(u4r2(exist),X0)
| equalish(X0,u1r1(u4r2(exist))) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f104,plain,
! [X0] :
( ~ sQ3_spl
| ~ s(u4r2(exist),X0)
| equalish(X0,u1r1(u4r2(exist))) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f101,f90,f103]) ).
fof(f107,plain,
( ~ sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f102,f103,f97]) ).
fof(f108,plain,
( ~ sQ1_spl
| equalish(u1r1(u4r2(exist)),u1r2(u4r2(exist))) ),
inference(resolution,[status(thm)],[f94,f86]) ).
fof(f109,plain,
( ~ sQ1_spl
| equalish(u1r2(u4r2(exist)),u1r2(u4r2(exist))) ),
inference(resolution,[status(thm)],[f94,f85]) ).
fof(f110,plain,
( ~ sQ1_spl
| d(u4r2(exist))
| equalish(u1r1(u4r2(exist)),u1r2(u4r2(exist))) ),
inference(resolution,[status(thm)],[f94,f77]) ).
fof(f111,plain,
( ~ sQ1_spl
| d(u4r2(exist))
| equalish(u1r2(u4r2(exist)),u1r2(u4r2(exist))) ),
inference(resolution,[status(thm)],[f94,f76]) ).
fof(f112,plain,
( ~ sQ1_spl
| s1most(u4r2(exist))
| equalish(u3r2(u4r2(exist)),u1r2(u4r2(exist))) ),
inference(resolution,[status(thm)],[f94,f42]) ).
fof(f113,plain,
( ~ sQ1_spl
| s1most(u4r2(exist))
| equalish(u3r1(u4r2(exist)),u1r2(u4r2(exist))) ),
inference(resolution,[status(thm)],[f94,f41]) ).
fof(f114,definition,
( sQ4_spl
<=> equalish(u1r1(u4r2(exist)),u1r2(u4r2(exist))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f117,definition,
( sQ5_spl
<=> d(u4r2(exist)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ5_spl
| d(u4r2(exist)) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( ~ sQ1_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f110,f114,f117,f93]) ).
fof(f121,definition,
( sQ6_spl
<=> equalish(u1r2(u4r2(exist)),u1r2(u4r2(exist))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ1_spl
| sQ5_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f111,f121,f117,f93]) ).
fof(f125,definition,
( sQ7_spl
<=> equalish(u3r2(u4r2(exist)),u1r2(u4r2(exist))) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ7_spl
| equalish(u3r2(u4r2(exist)),u1r2(u4r2(exist))) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( ~ sQ1_spl
| sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f112,f125,f97,f93]) ).
fof(f129,definition,
( sQ8_spl
<=> equalish(u3r1(u4r2(exist)),u1r2(u4r2(exist))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ8_spl
| equalish(u3r1(u4r2(exist)),u1r2(u4r2(exist))) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( ~ sQ1_spl
| sQ2_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f113,f129,f97,f93]) ).
fof(f133,plain,
( ~ sQ5_spl
| s1most(u4r2(exist)) ),
inference(resolution,[status(thm)],[f118,f36]) ).
fof(f135,plain,
( ~ sQ3_spl
| equalish(u1r1(u4r2(exist)),u1r1(u4r2(exist))) ),
inference(resolution,[status(thm)],[f104,f86]) ).
fof(f136,plain,
( ~ sQ3_spl
| equalish(u1r2(u4r2(exist)),u1r1(u4r2(exist))) ),
inference(resolution,[status(thm)],[f104,f85]) ).
fof(f157,plain,
( ~ sQ3_spl
| ~ s2least(u4r2(exist)) ),
inference(resolution,[status(thm)],[f136,f31]) ).
fof(f158,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f157,f61]) ).
fof(f159,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f158]) ).
fof(f162,plain,
r(exist,u4r3(exist)),
inference(resolution,[status(thm)],[f44,f27]) ).
fof(f163,plain,
! [X0] :
( ~ r(exist,X0)
| equalish(X0,u4r3(exist))
| r2least(exist) ),
inference(resolution,[status(thm)],[f162,f56]) ).
fof(f164,definition,
( sQ13_spl
<=> r2least(exist) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ13_spl
| r2least(exist) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f166,plain,
( sQ13_spl
| ~ r2least(exist) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
! [X0] :
( sQ14_spl
<=> ( ~ r(exist,X0)
| equalish(X0,u4r3(exist)) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f168,plain,
! [X0] :
( ~ sQ14_spl
| ~ r(exist,X0)
| equalish(X0,u4r3(exist)) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,plain,
( sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f163,f164,f167]) ).
fof(f171,plain,
( ~ sQ13_spl
| f(exist) ),
inference(resolution,[status(thm)],[f165,f51]) ).
fof(f172,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f171,f28]) ).
fof(f173,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( ~ sQ14_spl
| equalish(u4r3(exist),u4r3(exist)) ),
inference(resolution,[status(thm)],[f168,f162]) ).
fof(f175,plain,
r(exist,u4r2(exist)),
inference(resolution,[status(thm)],[f46,f27]) ).
fof(f176,plain,
( ~ sQ14_spl
| equalish(u4r2(exist),u4r3(exist)) ),
inference(resolution,[status(thm)],[f175,f168]) ).
fof(f177,plain,
! [X0] :
( ~ r(exist,X0)
| equalish(X0,u4r2(exist))
| r2least(exist) ),
inference(resolution,[status(thm)],[f175,f56]) ).
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,
( sQ15_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f177,f164,f178]) ).
fof(f182,plain,
( ~ sQ15_spl
| equalish(u4r2(exist),u4r2(exist)) ),
inference(resolution,[status(thm)],[f179,f175]) ).
fof(f183,plain,
( ~ sQ15_spl
| equalish(u4r3(exist),u4r2(exist)) ),
inference(resolution,[status(thm)],[f179,f162]) ).
fof(f184,plain,
r(exist,u4r1(exist)),
inference(resolution,[status(thm)],[f47,f27]) ).
fof(f185,plain,
( ~ sQ15_spl
| equalish(u4r1(exist),u4r2(exist)) ),
inference(resolution,[status(thm)],[f184,f179]) ).
fof(f186,plain,
( ~ sQ14_spl
| equalish(u4r1(exist),u4r3(exist)) ),
inference(resolution,[status(thm)],[f184,f168]) ).
fof(f187,plain,
! [X0] :
( ~ r(exist,X0)
| equalish(X0,u4r1(exist))
| r2least(exist) ),
inference(resolution,[status(thm)],[f184,f56]) ).
fof(f188,definition,
! [X0] :
( sQ16_spl
<=> ( ~ r(exist,X0)
| equalish(X0,u4r1(exist)) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f189,plain,
! [X0] :
( ~ sQ16_spl
| ~ r(exist,X0)
| equalish(X0,u4r1(exist)) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( sQ16_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f187,f164,f188]) ).
fof(f192,plain,
( ~ sQ16_spl
| equalish(u4r1(exist),u4r1(exist)) ),
inference(resolution,[status(thm)],[f189,f184]) ).
fof(f193,plain,
( ~ sQ16_spl
| equalish(u4r2(exist),u4r1(exist)) ),
inference(resolution,[status(thm)],[f189,f175]) ).
fof(f194,plain,
( ~ sQ16_spl
| equalish(u4r3(exist),u4r1(exist)) ),
inference(resolution,[status(thm)],[f189,f162]) ).
fof(f195,plain,
! [X0] :
( ~ d(u4r1(exist))
| ~ c(u4r1(exist))
| ~ r(exist,X0)
| e(exist) ),
inference(resolution,[status(thm)],[f49,f184]) ).
fof(f196,plain,
! [X0,X1] :
( ~ d(X1)
| ~ r(exist,X1)
| ~ c(u4r1(exist))
| ~ r(exist,X0)
| e(exist) ),
inference(resolution,[status(thm)],[f49,f184]) ).
fof(f197,plain,
! [X0] :
( ~ d(u4r2(exist))
| ~ c(u4r2(exist))
| ~ r(exist,X0)
| e(exist) ),
inference(resolution,[status(thm)],[f49,f175]) ).
fof(f198,plain,
! [X0,X1] :
( ~ d(X1)
| ~ r(exist,X1)
| ~ c(u4r2(exist))
| ~ r(exist,X0)
| e(exist) ),
inference(resolution,[status(thm)],[f49,f175]) ).
fof(f199,plain,
! [X0] :
( ~ d(u4r3(exist))
| ~ c(u4r3(exist))
| ~ r(exist,X0)
| e(exist) ),
inference(resolution,[status(thm)],[f49,f162]) ).
fof(f200,plain,
! [X0,X1] :
( ~ d(X1)
| ~ r(exist,X1)
| ~ c(u4r3(exist))
| ~ r(exist,X0)
| e(exist) ),
inference(resolution,[status(thm)],[f49,f162]) ).
fof(f201,plain,
! [X0,X1] :
( ~ d(u4r1(exist))
| ~ c(X1)
| ~ r(exist,X1)
| ~ r(exist,X0)
| e(exist) ),
inference(resolution,[status(thm)],[f49,f184]) ).
fof(f202,plain,
! [X0,X1] :
( ~ d(u4r2(exist))
| ~ c(X1)
| ~ r(exist,X1)
| ~ r(exist,X0)
| e(exist) ),
inference(resolution,[status(thm)],[f49,f175]) ).
fof(f203,plain,
! [X0,X1] :
( ~ d(u4r3(exist))
| ~ c(X1)
| ~ r(exist,X1)
| ~ r(exist,X0)
| e(exist) ),
inference(resolution,[status(thm)],[f49,f162]) ).
fof(f204,definition,
( sQ17_spl
<=> e(exist) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f207,definition,
! [X0] :
( sQ18_spl
<=> ~ r(exist,X0) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f208,plain,
! [X0] :
( ~ sQ18_spl
| ~ r(exist,X0) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
( sQ19_spl
<=> c(u4r1(exist)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f213,definition,
( sQ20_spl
<=> d(u4r1(exist)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ20_spl
| ~ sQ19_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f195,f204,f207,f210,f213]) ).
fof(f217,definition,
! [X1] :
( sQ21_spl
<=> ( ~ d(X1)
| ~ r(exist,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( sQ21_spl
| ~ sQ19_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f196,f204,f207,f210,f217]) ).
fof(f221,definition,
( sQ22_spl
<=> c(u4r2(exist)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ5_spl
| ~ sQ22_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f197,f204,f207,f221,f117]) ).
fof(f225,plain,
( sQ21_spl
| ~ sQ22_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f198,f204,f207,f221,f217]) ).
fof(f226,definition,
( sQ23_spl
<=> c(u4r3(exist)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f229,definition,
( sQ24_spl
<=> d(u4r3(exist)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ24_spl
| ~ sQ23_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f199,f204,f207,f226,f229]) ).
fof(f233,plain,
( sQ21_spl
| ~ sQ23_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f200,f204,f207,f226,f217]) ).
fof(f234,definition,
! [X1] :
( sQ25_spl
<=> ( ~ c(X1)
| ~ r(exist,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ20_spl
| sQ25_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f201,f204,f207,f234,f213]) ).
fof(f238,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f202,f204,f207,f234,f117]) ).
fof(f239,plain,
( ~ sQ24_spl
| sQ25_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f203,f204,f207,f234,f229]) ).
fof(f240,plain,
( ~ sQ18_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f184,f208]) ).
fof(f241,plain,
( ~ sQ18_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f175,f208]) ).
fof(f242,plain,
( ~ sQ18_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f162,f208]) ).
fof(f243,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f240]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ13_spl
| sQ14_spl
| sQ15_spl
| sQ16_spl
| sQ17_spl
| ~ sQ18_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS007-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n019.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sun Sep 20 22:50:34 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.50 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.17/0.50 % SZS output start Saturation for theBenchmark
% See solution above
% 0.17/0.54 % Elapsed time: 0.076560 seconds
% 0.17/0.54 % CPU time: 0.103407 seconds
% 0.17/0.54 % Total memory used: 5.322 MB
% 0.17/0.54 % Net memory used: 5.291 MB
%------------------------------------------------------------------------------