%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS009-1 : 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 01:00:05 PM UTC 2026
% Result : Satisfiable 0.13s 0.41s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X1] :
( ~ c(X1)
| p2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X1] :
( ~ p2least(X1)
| c(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X1] :
( ~ equalish(u1r2(X1),u1r1(X1))
| ~ p2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X1] :
( ~ p2least(X1)
| p(X1,u1r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X1] :
( ~ p2least(X1)
| p(X1,u1r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X1,X3,X2] :
( ~ p(X1,X2)
| ~ p(X1,X3)
| equalish(X3,X2)
| p2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X1] :
( ~ d(X1)
| p1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X1] :
( ~ p1most(X1)
| d(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X3,X2,X1] :
( ~ p(X1,X2)
| ~ p(X1,X3)
| ~ p1most(X1)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X1] :
( ~ equalish(u3r2(X1),u3r1(X1))
| p1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X1] :
( p(X1,u3r1(X1))
| p1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X1] :
( p(X1,u3r2(X1))
| p1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X1] :
( ~ d(X1)
| a(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X1] :
( ~ c(X1)
| a(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X2,X1] :
( ~ r(X1,X2)
| c(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X1,X2] :
( ~ r(X1,X2)
| t(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X2,X1] :
( ~ s(X1,X2)
| d(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X1,X2] :
( ~ s(X1,X2)
| t(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X1] :
( ~ e(X1)
| s1most(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] :
( ~ e(X1)
| t3least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X1] :
( ~ s1most(X1)
| ~ r1most(X1)
| ~ t3least(X1)
| ~ a(u7r1(X1))
| e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X1] :
( ~ equalish(u8r2(X1),u8r1(X1))
| ~ t3least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X1] :
( ~ equalish(u8r3(X1),u8r1(X1))
| ~ t3least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X1] :
( ~ equalish(u8r3(X1),u8r2(X1))
| ~ t3least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X1] :
( ~ t3least(X1)
| t(X1,u8r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X1] :
( ~ t3least(X1)
| t(X1,u8r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X1] :
( ~ t3least(X1)
| t(X1,u8r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X1,X4,X3,X2] :
( ~ t(X1,X2)
| ~ t(X1,X3)
| ~ t(X1,X4)
| equalish(X3,X2)
| equalish(X4,X2)
| equalish(X4,X3)
| t3least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X3,X2,X1] :
( ~ r(X1,X2)
| ~ r(X1,X3)
| ~ r1most(X1)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X1] :
( ~ equalish(u9r2(X1),u9r1(X1))
| r1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X1] :
( r(X1,u9r1(X1))
| r1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X1] :
( r(X1,u9r2(X1))
| r1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X3,X2,X1] :
( ~ s(X1,X2)
| ~ s(X1,X3)
| ~ s1most(X1)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X1] :
( ~ equalish(u10r2(X1),u10r1(X1))
| s1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X1] :
( s(X1,u10r1(X1))
| s1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X1] :
( s(X1,u10r2(X1))
| s1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,plain,
e(exist),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
! [X0] :
( ~ c(X0)
| p2least(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
! [X0] :
( ~ p2least(X0)
| c(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f45,plain,
! [X0] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ p2least(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f46,plain,
! [X0] :
( ~ p2least(X0)
| p(X0,u1r1(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f47,plain,
! [X0] :
( ~ p2least(X0)
| p(X0,u1r2(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f48,plain,
! [X1,X2] :
( ~ p(X1,X2)
| ! [X3] :
( ~ p(X1,X3)
| equalish(X3,X2)
| p2least(X1) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ p(X0,X2)
| ~ p(X0,X1)
| equalish(X1,X2)
| p2least(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [X0] :
( ~ d(X0)
| p1most(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f51,plain,
! [X0] :
( ~ p1most(X0)
| d(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f52,plain,
! [X2,X1] :
( ~ p(X1,X2)
| ! [X3] :
( ~ p(X1,X3)
| ~ p1most(X1)
| equalish(X3,X2) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ p(X2,X1)
| ~ p(X2,X0)
| ~ p1most(X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [X0] :
( ~ equalish(u3r2(X0),u3r1(X0))
| p1most(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f55,plain,
! [X0] :
( p(X0,u3r1(X0))
| p1most(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f56,plain,
! [X0] :
( p(X0,u3r2(X0))
| p1most(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f58,plain,
! [X0] :
( ~ d(X0)
| a(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f59,plain,
! [X0] :
( ~ c(X0)
| a(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f60,plain,
! [X2] :
( ! [X1] : ~ r(X1,X2)
| c(X2) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f61,plain,
! [X0,X1] :
( ~ r(X1,X0)
| c(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ~ r(X0,X1)
| t(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f63,plain,
! [X2] :
( ! [X1] : ~ s(X1,X2)
| d(X2) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f64,plain,
! [X0,X1] :
( ~ s(X1,X0)
| d(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ~ s(X0,X1)
| t(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f66,plain,
! [X0] :
( ~ e(X0)
| s1most(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f67,plain,
! [X0] :
( ~ e(X0)
| r1most(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f68,plain,
! [X0] :
( ~ e(X0)
| t3least(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f70,plain,
! [X0] :
( ~ s1most(X0)
| ~ r1most(X0)
| ~ t3least(X0)
| ~ a(u7r1(X0))
| e(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f72,plain,
! [X0] :
( ~ equalish(u8r2(X0),u8r1(X0))
| ~ t3least(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f73,plain,
! [X0] :
( ~ equalish(u8r3(X0),u8r1(X0))
| ~ t3least(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f74,plain,
! [X0] :
( ~ equalish(u8r3(X0),u8r2(X0))
| ~ t3least(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f75,plain,
! [X0] :
( ~ t3least(X0)
| t(X0,u8r1(X0)) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f76,plain,
! [X0] :
( ~ t3least(X0)
| t(X0,u8r2(X0)) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f77,plain,
! [X0] :
( ~ t3least(X0)
| t(X0,u8r3(X0)) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f78,plain,
! [X1,X2] :
( ~ t(X1,X2)
| ! [X3] :
( ~ t(X1,X3)
| ! [X4] :
( ~ t(X1,X4)
| equalish(X3,X2)
| equalish(X4,X2)
| equalish(X4,X3)
| t3least(X1) ) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( ~ t(X0,X3)
| ~ t(X0,X2)
| ~ t(X0,X1)
| equalish(X2,X3)
| equalish(X1,X3)
| equalish(X1,X2)
| t3least(X0) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f80,plain,
! [X2,X1] :
( ~ r(X1,X2)
| ! [X3] :
( ~ r(X1,X3)
| ~ r1most(X1)
| equalish(X3,X2) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ r(X2,X1)
| ~ r(X2,X0)
| ~ r1most(X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,plain,
! [X0] :
( ~ equalish(u9r2(X0),u9r1(X0))
| r1most(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f83,plain,
! [X0] :
( r(X0,u9r1(X0))
| r1most(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f84,plain,
! [X0] :
( r(X0,u9r2(X0))
| r1most(X0) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f85,plain,
! [X2,X1] :
( ~ s(X1,X2)
| ! [X3] :
( ~ s(X1,X3)
| ~ s1most(X1)
| equalish(X3,X2) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ s(X2,X1)
| ~ s(X2,X0)
| ~ s1most(X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
! [X0] :
( ~ equalish(u10r2(X0),u10r1(X0))
| s1most(X0) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f88,plain,
! [X0] :
( s(X0,u10r1(X0))
| s1most(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f89,plain,
! [X0] :
( s(X0,u10r2(X0))
| s1most(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f90,plain,
s1most(exist),
inference(resolution,[status(thm)],[f66,f42]) ).
fof(f91,plain,
r1most(exist),
inference(resolution,[status(thm)],[f67,f42]) ).
fof(f92,plain,
t3least(exist),
inference(resolution,[status(thm)],[f68,f42]) ).
fof(f93,plain,
! [X0] :
( c(u9r1(X0))
| r1most(X0) ),
inference(resolution,[status(thm)],[f83,f61]) ).
fof(f95,plain,
! [X0] :
( p2least(u9r1(X0))
| r1most(X0) ),
inference(resolution,[status(thm)],[f93,f43]) ).
fof(f97,plain,
! [X0] :
( p(u9r1(X0),u1r2(u9r1(X0)))
| r1most(X0) ),
inference(resolution,[status(thm)],[f95,f47]) ).
fof(f98,plain,
! [X0] :
( p(u9r1(X0),u1r1(u9r1(X0)))
| r1most(X0) ),
inference(resolution,[status(thm)],[f95,f46]) ).
fof(f100,plain,
! [X0] :
( c(u9r2(X0))
| r1most(X0) ),
inference(resolution,[status(thm)],[f84,f61]) ).
fof(f102,plain,
! [X0,X1] :
( p1most(X0)
| ~ p(X0,X1)
| equalish(X1,u3r1(X0))
| p2least(X0) ),
inference(resolution,[status(thm)],[f49,f55]) ).
fof(f104,definition,
( sQ0_spl
<=> e(exist) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f110,definition,
( sQ2_spl
<=> r1most(exist) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( sQ2_spl
| ~ r1most(exist) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,definition,
( sQ3_spl
<=> s1most(exist) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( sQ3_spl
| ~ s1most(exist) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f117,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f90]) ).
fof(f118,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f117]) ).
fof(f119,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f91]) ).
fof(f120,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f119]) ).
fof(f121,plain,
! [X0] :
( d(u10r1(X0))
| s1most(X0) ),
inference(resolution,[status(thm)],[f88,f64]) ).
fof(f123,plain,
! [X0] :
( p2least(u9r2(X0))
| r1most(X0) ),
inference(resolution,[status(thm)],[f100,f43]) ).
fof(f125,plain,
! [X0] :
( p1most(u10r1(X0))
| s1most(X0) ),
inference(resolution,[status(thm)],[f121,f50]) ).
fof(f127,plain,
! [X0] :
( p(u9r2(X0),u1r2(u9r2(X0)))
| r1most(X0) ),
inference(resolution,[status(thm)],[f123,f47]) ).
fof(f128,plain,
! [X0] :
( p(u9r2(X0),u1r1(u9r2(X0)))
| r1most(X0) ),
inference(resolution,[status(thm)],[f123,f46]) ).
fof(f132,plain,
! [X0] :
( d(u10r2(X0))
| s1most(X0) ),
inference(resolution,[status(thm)],[f89,f64]) ).
fof(f134,plain,
! [X0] :
( p1most(u10r2(X0))
| s1most(X0) ),
inference(resolution,[status(thm)],[f132,f50]) ).
fof(f153,plain,
! [X0] :
( p1most(X0)
| p1most(X0)
| equalish(u3r2(X0),u3r1(X0))
| p2least(X0) ),
inference(resolution,[status(thm)],[f102,f56]) ).
fof(f155,plain,
! [X0] :
( p1most(X0)
| equalish(u3r2(X0),u3r1(X0))
| p2least(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f153]) ).
fof(f157,plain,
! [X0,X1] :
( r1most(X1)
| ~ p(u9r2(X1),X0)
| ~ p1most(u9r2(X1))
| equalish(X0,u1r1(u9r2(X1))) ),
inference(resolution,[status(thm)],[f53,f128]) ).
fof(f158,plain,
! [X0,X1] :
( r1most(X1)
| ~ p(u9r2(X1),X0)
| ~ p1most(u9r2(X1))
| equalish(X0,u1r2(u9r2(X1))) ),
inference(resolution,[status(thm)],[f53,f127]) ).
fof(f159,plain,
! [X0,X1] :
( r1most(X1)
| ~ p(u9r1(X1),X0)
| ~ p1most(u9r1(X1))
| equalish(X0,u1r1(u9r1(X1))) ),
inference(resolution,[status(thm)],[f53,f98]) ).
fof(f160,plain,
! [X0,X1] :
( r1most(X1)
| ~ p(u9r1(X1),X0)
| ~ p1most(u9r1(X1))
| equalish(X0,u1r2(u9r1(X1))) ),
inference(resolution,[status(thm)],[f53,f97]) ).
fof(f163,plain,
! [X0] :
( r1most(X0)
| r1most(X0)
| ~ p1most(u9r2(X0))
| equalish(u1r1(u9r2(X0)),u1r1(u9r2(X0))) ),
inference(resolution,[status(thm)],[f157,f128]) ).
fof(f164,plain,
! [X0] :
( r1most(X0)
| r1most(X0)
| ~ p1most(u9r2(X0))
| equalish(u1r2(u9r2(X0)),u1r1(u9r2(X0))) ),
inference(resolution,[status(thm)],[f157,f127]) ).
fof(f167,plain,
! [X0] :
( r1most(X0)
| ~ p1most(u9r2(X0))
| equalish(u1r1(u9r2(X0)),u1r1(u9r2(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f163]) ).
fof(f168,plain,
! [X0] :
( r1most(X0)
| ~ p1most(u9r2(X0))
| equalish(u1r2(u9r2(X0)),u1r1(u9r2(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f164]) ).
fof(f169,plain,
! [X0] :
( r1most(X0)
| r1most(X0)
| ~ p1most(u9r2(X0))
| equalish(u1r1(u9r2(X0)),u1r2(u9r2(X0))) ),
inference(resolution,[status(thm)],[f158,f128]) ).
fof(f170,plain,
! [X0] :
( r1most(X0)
| r1most(X0)
| ~ p1most(u9r2(X0))
| equalish(u1r2(u9r2(X0)),u1r2(u9r2(X0))) ),
inference(resolution,[status(thm)],[f158,f127]) ).
fof(f173,plain,
! [X0] :
( r1most(X0)
| ~ p1most(u9r2(X0))
| equalish(u1r1(u9r2(X0)),u1r2(u9r2(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f169]) ).
fof(f174,plain,
! [X0] :
( r1most(X0)
| ~ p1most(u9r2(X0))
| equalish(u1r2(u9r2(X0)),u1r2(u9r2(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f170]) ).
fof(f175,plain,
! [X0] :
( r1most(X0)
| r1most(X0)
| ~ p1most(u9r1(X0))
| equalish(u1r1(u9r1(X0)),u1r1(u9r1(X0))) ),
inference(resolution,[status(thm)],[f159,f98]) ).
fof(f176,plain,
! [X0] :
( r1most(X0)
| r1most(X0)
| ~ p1most(u9r1(X0))
| equalish(u1r2(u9r1(X0)),u1r1(u9r1(X0))) ),
inference(resolution,[status(thm)],[f159,f97]) ).
fof(f179,plain,
! [X0] :
( r1most(X0)
| ~ p1most(u9r1(X0))
| equalish(u1r1(u9r1(X0)),u1r1(u9r1(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f175]) ).
fof(f180,plain,
! [X0] :
( r1most(X0)
| ~ p1most(u9r1(X0))
| equalish(u1r2(u9r1(X0)),u1r1(u9r1(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f176]) ).
fof(f181,plain,
! [X0] :
( r1most(X0)
| r1most(X0)
| ~ p1most(u9r1(X0))
| equalish(u1r1(u9r1(X0)),u1r2(u9r1(X0))) ),
inference(resolution,[status(thm)],[f160,f98]) ).
fof(f182,plain,
! [X0] :
( r1most(X0)
| r1most(X0)
| ~ p1most(u9r1(X0))
| equalish(u1r2(u9r1(X0)),u1r2(u9r1(X0))) ),
inference(resolution,[status(thm)],[f160,f97]) ).
fof(f185,plain,
! [X0] :
( r1most(X0)
| ~ p1most(u9r1(X0))
| equalish(u1r1(u9r1(X0)),u1r2(u9r1(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f181]) ).
fof(f186,plain,
! [X0] :
( r1most(X0)
| ~ p1most(u9r1(X0))
| equalish(u1r2(u9r1(X0)),u1r2(u9r1(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f182]) ).
fof(f187,plain,
! [X0] :
( r1most(X0)
| t(X0,u9r2(X0)) ),
inference(resolution,[status(thm)],[f62,f84]) ).
fof(f188,plain,
! [X0] :
( r1most(X0)
| t(X0,u9r1(X0)) ),
inference(resolution,[status(thm)],[f62,f83]) ).
fof(f189,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u9r2(X0),u9r2(X0))
| equalish(X1,u9r2(X0))
| equalish(X1,u9r2(X0))
| t3least(X0)
| r1most(X0) ),
inference(resolution,[status(thm)],[f187,f79]) ).
fof(f190,plain,
! [X0,X1,X2] :
( ~ t(X0,X2)
| ~ t(X0,X1)
| equalish(X2,u9r2(X0))
| equalish(X1,u9r2(X0))
| equalish(X1,X2)
| t3least(X0)
| r1most(X0) ),
inference(resolution,[status(thm)],[f187,f79]) ).
fof(f192,plain,
! [X0,X1,X2] :
( ~ t(X0,X2)
| ~ t(X0,X1)
| equalish(u9r2(X0),X2)
| equalish(X1,X2)
| equalish(X1,u9r2(X0))
| t3least(X0)
| r1most(X0) ),
inference(resolution,[status(thm)],[f187,f79]) ).
fof(f193,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u9r2(X0),u9r2(X0))
| equalish(X1,u9r2(X0))
| t3least(X0)
| r1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f189]) ).
fof(f195,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u9r1(X0),u9r1(X0))
| equalish(X1,u9r1(X0))
| equalish(X1,u9r1(X0))
| t3least(X0)
| r1most(X0) ),
inference(resolution,[status(thm)],[f188,f79]) ).
fof(f196,plain,
! [X0,X1,X2] :
( ~ t(X0,X2)
| ~ t(X0,X1)
| equalish(X2,u9r1(X0))
| equalish(X1,u9r1(X0))
| equalish(X1,X2)
| t3least(X0)
| r1most(X0) ),
inference(resolution,[status(thm)],[f188,f79]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ t(X0,X2)
| ~ t(X0,X1)
| equalish(u9r1(X0),X2)
| equalish(X1,X2)
| equalish(X1,u9r1(X0))
| t3least(X0)
| r1most(X0) ),
inference(resolution,[status(thm)],[f188,f79]) ).
fof(f199,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u9r1(X0),u9r1(X0))
| equalish(X1,u9r1(X0))
| t3least(X0)
| r1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f195]) ).
fof(f202,plain,
! [X0] :
( r1most(X0)
| equalish(u9r2(X0),u9r2(X0))
| equalish(u9r2(X0),u9r2(X0))
| t3least(X0)
| r1most(X0) ),
inference(resolution,[status(thm)],[f193,f187]) ).
fof(f204,plain,
! [X0] :
( equalish(u9r2(X0),u9r2(X0))
| t3least(X0)
| r1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f202]) ).
fof(f205,plain,
! [X0] :
( r1most(X0)
| equalish(u9r1(X0),u9r1(X0))
| equalish(u9r1(X0),u9r1(X0))
| t3least(X0)
| r1most(X0) ),
inference(resolution,[status(thm)],[f199,f188]) ).
fof(f207,plain,
! [X0] :
( equalish(u9r1(X0),u9r1(X0))
| t3least(X0)
| r1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f205]) ).
fof(f213,plain,
! [X0,X1] :
( r1most(X0)
| ~ t(X0,X1)
| equalish(u9r2(X0),u9r1(X0))
| equalish(X1,u9r1(X0))
| equalish(X1,u9r2(X0))
| t3least(X0)
| r1most(X0) ),
inference(resolution,[status(thm)],[f192,f188]) ).
fof(f215,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u9r2(X0),u9r1(X0))
| equalish(X1,u9r1(X0))
| equalish(X1,u9r2(X0))
| t3least(X0)
| r1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f213]) ).
fof(f233,plain,
! [X0] :
( p1most(X0)
| p2least(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f155,f54]) ).
fof(f242,plain,
! [X0] :
( d(X0)
| p2least(X0) ),
inference(resolution,[status(thm)],[f233,f51]) ).
fof(f243,plain,
! [X0] :
( p(X0,u1r2(X0))
| d(X0) ),
inference(resolution,[status(thm)],[f242,f47]) ).
fof(f244,plain,
! [X0] :
( p(X0,u1r1(X0))
| d(X0) ),
inference(resolution,[status(thm)],[f242,f46]) ).
fof(f245,plain,
! [X0] :
( c(X0)
| d(X0) ),
inference(resolution,[status(thm)],[f242,f44]) ).
fof(f258,plain,
! [X0] :
( a(X0)
| c(X0) ),
inference(resolution,[status(thm)],[f245,f58]) ).
fof(f259,plain,
! [X0] :
( p1most(X0)
| c(X0) ),
inference(resolution,[status(thm)],[f245,f50]) ).
fof(f260,plain,
! [X0] : a(X0),
inference(forward_subsumption_resolution,[status(thm)],[f258,f59]) ).
fof(f270,plain,
! [X0] :
( s1most(X0)
| t(X0,u10r2(X0)) ),
inference(resolution,[status(thm)],[f65,f89]) ).
fof(f271,plain,
! [X0] :
( s1most(X0)
| t(X0,u10r1(X0)) ),
inference(resolution,[status(thm)],[f65,f88]) ).
fof(f272,plain,
t(exist,u8r1(exist)),
inference(resolution,[status(thm)],[f75,f92]) ).
fof(f279,plain,
! [X0] :
( ~ t(exist,X0)
| equalish(u8r1(exist),u8r1(exist))
| equalish(X0,u8r1(exist))
| equalish(X0,u8r1(exist))
| t3least(exist) ),
inference(resolution,[status(thm)],[f272,f79]) ).
fof(f280,plain,
! [X0,X1] :
( ~ t(exist,X1)
| ~ t(exist,X0)
| equalish(X1,u8r1(exist))
| equalish(X0,u8r1(exist))
| equalish(X0,X1)
| t3least(exist) ),
inference(resolution,[status(thm)],[f272,f79]) ).
fof(f282,plain,
! [X0,X1] :
( ~ t(exist,X1)
| ~ t(exist,X0)
| equalish(u8r1(exist),X1)
| equalish(X0,X1)
| equalish(X0,u8r1(exist))
| t3least(exist) ),
inference(resolution,[status(thm)],[f272,f79]) ).
fof(f283,definition,
( sQ4_spl
<=> t3least(exist) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f316,definition,
! [X0] :
( sQ13_spl
<=> ( ~ t(exist,X0)
| equalish(X0,u8r1(exist))
| equalish(X0,u8r1(exist)) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f319,definition,
( sQ14_spl
<=> equalish(u8r1(exist),u8r1(exist)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( sQ14_spl
| sQ13_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f279,f283,f316,f319]) ).
fof(f323,definition,
! [X0,X1] :
( sQ15_spl
<=> ( ~ t(exist,X1)
| ~ t(exist,X0)
| equalish(X1,u8r1(exist))
| equalish(X0,u8r1(exist))
| equalish(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( sQ15_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f280,f283,f323]) ).
fof(f328,definition,
! [X0,X1] :
( sQ16_spl
<=> ( ~ t(exist,X1)
| ~ t(exist,X0)
| equalish(u8r1(exist),X1)
| equalish(X0,X1)
| equalish(X0,u8r1(exist)) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( sQ16_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f282,f283,f328]) ).
fof(f332,plain,
t(exist,u8r2(exist)),
inference(resolution,[status(thm)],[f76,f92]) ).
fof(f339,plain,
! [X0] :
( ~ t(exist,X0)
| equalish(u8r2(exist),u8r2(exist))
| equalish(X0,u8r2(exist))
| equalish(X0,u8r2(exist))
| t3least(exist) ),
inference(resolution,[status(thm)],[f332,f79]) ).
fof(f340,plain,
! [X0,X1] :
( ~ t(exist,X1)
| ~ t(exist,X0)
| equalish(X1,u8r2(exist))
| equalish(X0,u8r2(exist))
| equalish(X0,X1)
| t3least(exist) ),
inference(resolution,[status(thm)],[f332,f79]) ).
fof(f342,plain,
! [X0,X1] :
( ~ t(exist,X1)
| ~ t(exist,X0)
| equalish(u8r2(exist),X1)
| equalish(X0,X1)
| equalish(X0,u8r2(exist))
| t3least(exist) ),
inference(resolution,[status(thm)],[f332,f79]) ).
fof(f367,definition,
! [X0] :
( sQ23_spl
<=> ( ~ t(exist,X0)
| equalish(X0,u8r2(exist))
| equalish(X0,u8r2(exist)) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f370,definition,
( sQ24_spl
<=> equalish(u8r2(exist),u8r2(exist)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( sQ24_spl
| sQ23_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f339,f283,f367,f370]) ).
fof(f374,definition,
! [X0,X1] :
( sQ25_spl
<=> ( ~ t(exist,X1)
| ~ t(exist,X0)
| equalish(X1,u8r2(exist))
| equalish(X0,u8r2(exist))
| equalish(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( sQ25_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f340,f283,f374]) ).
fof(f379,definition,
! [X0,X1] :
( sQ26_spl
<=> ( ~ t(exist,X1)
| ~ t(exist,X0)
| equalish(u8r2(exist),X1)
| equalish(X0,X1)
| equalish(X0,u8r2(exist)) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( sQ26_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f342,f283,f379]) ).
fof(f383,plain,
t(exist,u8r3(exist)),
inference(resolution,[status(thm)],[f77,f92]) ).
fof(f390,plain,
! [X0] :
( ~ t(exist,X0)
| equalish(u8r3(exist),u8r3(exist))
| equalish(X0,u8r3(exist))
| equalish(X0,u8r3(exist))
| t3least(exist) ),
inference(resolution,[status(thm)],[f383,f79]) ).
fof(f391,plain,
! [X0,X1] :
( ~ t(exist,X1)
| ~ t(exist,X0)
| equalish(X1,u8r3(exist))
| equalish(X0,u8r3(exist))
| equalish(X0,X1)
| t3least(exist) ),
inference(resolution,[status(thm)],[f383,f79]) ).
fof(f393,plain,
! [X0,X1] :
( ~ t(exist,X1)
| ~ t(exist,X0)
| equalish(u8r3(exist),X1)
| equalish(X0,X1)
| equalish(X0,u8r3(exist))
| t3least(exist) ),
inference(resolution,[status(thm)],[f383,f79]) ).
fof(f418,definition,
! [X0] :
( sQ33_spl
<=> ( ~ t(exist,X0)
| equalish(X0,u8r3(exist))
| equalish(X0,u8r3(exist)) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f421,definition,
( sQ34_spl
<=> equalish(u8r3(exist),u8r3(exist)) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( sQ34_spl
| sQ33_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f390,f283,f418,f421]) ).
fof(f425,definition,
! [X0,X1] :
( sQ35_spl
<=> ( ~ t(exist,X1)
| ~ t(exist,X0)
| equalish(X1,u8r3(exist))
| equalish(X0,u8r3(exist))
| equalish(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( sQ35_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f391,f283,f425]) ).
fof(f430,definition,
! [X0,X1] :
( sQ36_spl
<=> ( ~ t(exist,X1)
| ~ t(exist,X0)
| equalish(u8r3(exist),X1)
| equalish(X0,X1)
| equalish(X0,u8r3(exist)) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( sQ36_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f393,f283,f430]) ).
fof(f434,plain,
! [X0] :
( ~ s1most(X0)
| ~ r1most(X0)
| ~ t3least(X0)
| e(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f70,f260]) ).
fof(f435,plain,
( ~ s1most(exist)
| ~ r1most(exist)
| e(exist) ),
inference(resolution,[status(thm)],[f434,f92]) ).
fof(f436,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f435,f104,f110,f113]) ).
fof(f437,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(X1,u9r1(X0))
| equalish(X1,u9r2(X0))
| t3least(X0)
| r1most(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f215,f82]) ).
fof(f443,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u9r1(X0),u10r2(X0))
| equalish(X1,u10r2(X0))
| equalish(X1,u9r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f270,f198]) ).
fof(f444,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u10r2(X0),u9r1(X0))
| equalish(X1,u9r1(X0))
| equalish(X1,u10r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f270,f196]) ).
fof(f445,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u9r2(X0),u10r2(X0))
| equalish(X1,u10r2(X0))
| equalish(X1,u9r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f270,f192]) ).
fof(f446,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u10r2(X0),u9r2(X0))
| equalish(X1,u9r2(X0))
| equalish(X1,u10r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f270,f190]) ).
fof(f447,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u10r2(X0),u10r2(X0))
| equalish(X1,u10r2(X0))
| equalish(X1,u10r2(X0))
| t3least(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f270,f79]) ).
fof(f448,plain,
! [X0,X1,X2] :
( ~ t(X0,X2)
| ~ t(X0,X1)
| equalish(X2,u10r2(X0))
| equalish(X1,u10r2(X0))
| equalish(X1,X2)
| t3least(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f270,f79]) ).
fof(f450,plain,
! [X0,X1,X2] :
( ~ t(X0,X2)
| ~ t(X0,X1)
| equalish(u10r2(X0),X2)
| equalish(X1,X2)
| equalish(X1,u10r2(X0))
| t3least(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f270,f79]) ).
fof(f451,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u10r2(X0),u10r2(X0))
| equalish(X1,u10r2(X0))
| t3least(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f447]) ).
fof(f454,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u9r1(X0),u10r1(X0))
| equalish(X1,u10r1(X0))
| equalish(X1,u9r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f271,f198]) ).
fof(f455,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u10r1(X0),u9r1(X0))
| equalish(X1,u9r1(X0))
| equalish(X1,u10r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f271,f196]) ).
fof(f456,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u9r2(X0),u10r1(X0))
| equalish(X1,u10r1(X0))
| equalish(X1,u9r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f271,f192]) ).
fof(f457,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u10r1(X0),u9r2(X0))
| equalish(X1,u9r2(X0))
| equalish(X1,u10r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f271,f190]) ).
fof(f458,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u10r1(X0),u10r1(X0))
| equalish(X1,u10r1(X0))
| equalish(X1,u10r1(X0))
| t3least(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f271,f79]) ).
fof(f459,plain,
! [X0,X1,X2] :
( ~ t(X0,X2)
| ~ t(X0,X1)
| equalish(X2,u10r1(X0))
| equalish(X1,u10r1(X0))
| equalish(X1,X2)
| t3least(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f271,f79]) ).
fof(f461,plain,
! [X0,X1,X2] :
( ~ t(X0,X2)
| ~ t(X0,X1)
| equalish(u10r1(X0),X2)
| equalish(X1,X2)
| equalish(X1,u10r1(X0))
| t3least(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f271,f79]) ).
fof(f462,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u10r1(X0),u10r1(X0))
| equalish(X1,u10r1(X0))
| t3least(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f458]) ).
fof(f467,plain,
! [X0] :
( s1most(X0)
| equalish(u10r1(X0),u9r1(X0))
| equalish(u10r1(X0),u9r2(X0))
| t3least(X0)
| r1most(X0) ),
inference(resolution,[status(thm)],[f437,f271]) ).
fof(f468,plain,
! [X0] :
( s1most(X0)
| equalish(u10r2(X0),u9r1(X0))
| equalish(u10r2(X0),u9r2(X0))
| t3least(X0)
| r1most(X0) ),
inference(resolution,[status(thm)],[f437,f270]) ).
fof(f480,plain,
! [X0] :
( s1most(X0)
| equalish(u10r2(X0),u10r2(X0))
| equalish(u10r2(X0),u10r2(X0))
| t3least(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f451,f270]) ).
fof(f499,plain,
! [X0] :
( equalish(u10r2(X0),u10r2(X0))
| t3least(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f480]) ).
fof(f503,plain,
! [X0] :
( s1most(X0)
| equalish(u10r1(X0),u10r1(X0))
| equalish(u10r1(X0),u10r1(X0))
| t3least(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f462,f271]) ).
fof(f522,plain,
! [X0] :
( equalish(u10r1(X0),u10r1(X0))
| t3least(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f503]) ).
fof(f549,plain,
! [X0,X1] :
( s1most(X0)
| ~ t(X0,X1)
| equalish(u10r2(X0),u10r1(X0))
| equalish(X1,u10r1(X0))
| equalish(X1,u10r2(X0))
| t3least(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f450,f271]) ).
fof(f565,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(u10r2(X0),u10r1(X0))
| equalish(X1,u10r1(X0))
| equalish(X1,u10r2(X0))
| t3least(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f549]) ).
fof(f566,plain,
! [X0,X1] :
( ~ t(X0,X1)
| equalish(X1,u10r1(X0))
| equalish(X1,u10r2(X0))
| t3least(X0)
| s1most(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f565,f87]) ).
fof(f595,plain,
! [X0] :
( r1most(X0)
| equalish(u9r1(X0),u10r1(X0))
| equalish(u9r1(X0),u10r2(X0))
| t3least(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f566,f188]) ).
fof(f596,plain,
! [X0] :
( r1most(X0)
| equalish(u9r2(X0),u10r1(X0))
| equalish(u9r2(X0),u10r2(X0))
| t3least(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f566,f187]) ).
fof(f626,plain,
! [X0] :
( s1most(X0)
| equalish(u9r1(X0),u10r2(X0))
| equalish(u10r1(X0),u10r2(X0))
| equalish(u10r1(X0),u9r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f443,f271]) ).
fof(f629,plain,
! [X0] :
( r1most(X0)
| equalish(u9r1(X0),u10r2(X0))
| equalish(u9r2(X0),u10r2(X0))
| equalish(u9r2(X0),u9r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f443,f187]) ).
fof(f636,plain,
! [X0] :
( equalish(u9r1(X0),u10r2(X0))
| equalish(u10r1(X0),u10r2(X0))
| equalish(u10r1(X0),u9r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f626]) ).
fof(f639,plain,
! [X0] :
( equalish(u9r1(X0),u10r2(X0))
| equalish(u9r2(X0),u10r2(X0))
| equalish(u9r2(X0),u9r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f629]) ).
fof(f640,plain,
! [X0] :
( equalish(u9r1(X0),u10r2(X0))
| equalish(u9r2(X0),u10r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f639,f82]) ).
fof(f647,plain,
! [X0] :
( r1most(X0)
| equalish(u10r2(X0),u9r1(X0))
| equalish(u9r2(X0),u9r1(X0))
| equalish(u9r2(X0),u10r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f444,f187]) ).
fof(f657,plain,
! [X0] :
( equalish(u10r2(X0),u9r1(X0))
| equalish(u9r2(X0),u9r1(X0))
| equalish(u9r2(X0),u10r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f647]) ).
fof(f658,plain,
! [X0] :
( equalish(u10r2(X0),u9r1(X0))
| equalish(u9r2(X0),u10r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f657,f82]) ).
fof(f662,plain,
! [X0] :
( s1most(X0)
| equalish(u9r2(X0),u10r2(X0))
| equalish(u10r1(X0),u10r2(X0))
| equalish(u10r1(X0),u9r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f445,f271]) ).
fof(f672,plain,
! [X0] :
( equalish(u9r2(X0),u10r2(X0))
| equalish(u10r1(X0),u10r2(X0))
| equalish(u10r1(X0),u9r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f662]) ).
fof(f681,plain,
! [X0] :
( r1most(X0)
| equalish(u10r2(X0),u9r2(X0))
| equalish(u9r1(X0),u9r2(X0))
| equalish(u9r1(X0),u10r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f446,f188]) ).
fof(f691,plain,
! [X0] :
( equalish(u10r2(X0),u9r2(X0))
| equalish(u9r1(X0),u9r2(X0))
| equalish(u9r1(X0),u10r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f681]) ).
fof(f697,plain,
! [X0] :
( s1most(X0)
| equalish(u9r1(X0),u10r1(X0))
| equalish(u10r2(X0),u10r1(X0))
| equalish(u10r2(X0),u9r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f454,f270]) ).
fof(f699,plain,
! [X0] :
( r1most(X0)
| equalish(u9r1(X0),u10r1(X0))
| equalish(u9r2(X0),u10r1(X0))
| equalish(u9r2(X0),u9r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f454,f187]) ).
fof(f707,plain,
! [X0] :
( equalish(u9r1(X0),u10r1(X0))
| equalish(u10r2(X0),u10r1(X0))
| equalish(u10r2(X0),u9r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f697]) ).
fof(f708,plain,
! [X0] :
( equalish(u9r1(X0),u10r1(X0))
| equalish(u10r2(X0),u9r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f707,f87]) ).
fof(f710,plain,
! [X0] :
( equalish(u9r1(X0),u10r1(X0))
| equalish(u9r2(X0),u10r1(X0))
| equalish(u9r2(X0),u9r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f699]) ).
fof(f711,plain,
! [X0] :
( equalish(u9r1(X0),u10r1(X0))
| equalish(u9r2(X0),u10r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f710,f82]) ).
fof(f716,plain,
! [X0] :
( s1most(X0)
| equalish(u10r1(X0),u9r1(X0))
| equalish(u10r2(X0),u9r1(X0))
| equalish(u10r2(X0),u10r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f455,f270]) ).
fof(f718,plain,
! [X0] :
( r1most(X0)
| equalish(u10r1(X0),u9r1(X0))
| equalish(u9r2(X0),u9r1(X0))
| equalish(u9r2(X0),u10r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f455,f187]) ).
fof(f726,plain,
! [X0] :
( equalish(u10r1(X0),u9r1(X0))
| equalish(u10r2(X0),u9r1(X0))
| equalish(u10r2(X0),u10r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f716]) ).
fof(f727,plain,
! [X0] :
( equalish(u10r1(X0),u9r1(X0))
| equalish(u10r2(X0),u9r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f726,f87]) ).
fof(f729,plain,
! [X0] :
( equalish(u10r1(X0),u9r1(X0))
| equalish(u9r2(X0),u9r1(X0))
| equalish(u9r2(X0),u10r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f718]) ).
fof(f730,plain,
! [X0] :
( equalish(u10r1(X0),u9r1(X0))
| equalish(u9r2(X0),u10r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f729,f82]) ).
fof(f735,plain,
! [X0] :
( s1most(X0)
| equalish(u9r2(X0),u10r1(X0))
| equalish(u10r2(X0),u10r1(X0))
| equalish(u10r2(X0),u9r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f456,f270]) ).
fof(f745,plain,
! [X0] :
( equalish(u9r2(X0),u10r1(X0))
| equalish(u10r2(X0),u10r1(X0))
| equalish(u10r2(X0),u9r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f735]) ).
fof(f746,plain,
! [X0] :
( equalish(u9r2(X0),u10r1(X0))
| equalish(u10r2(X0),u9r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f745,f87]) ).
fof(f753,plain,
! [X0] :
( s1most(X0)
| equalish(u10r1(X0),u9r2(X0))
| equalish(u10r2(X0),u9r2(X0))
| equalish(u10r2(X0),u10r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f457,f270]) ).
fof(f754,plain,
! [X0] :
( r1most(X0)
| equalish(u10r1(X0),u9r2(X0))
| equalish(u9r1(X0),u9r2(X0))
| equalish(u9r1(X0),u10r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(resolution,[status(thm)],[f457,f188]) ).
fof(f763,plain,
! [X0] :
( equalish(u10r1(X0),u9r2(X0))
| equalish(u10r2(X0),u9r2(X0))
| equalish(u10r2(X0),u10r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f753]) ).
fof(f764,plain,
! [X0] :
( equalish(u10r1(X0),u9r2(X0))
| equalish(u10r2(X0),u9r2(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f763,f87]) ).
fof(f765,plain,
! [X0] :
( equalish(u10r1(X0),u9r2(X0))
| equalish(u9r1(X0),u9r2(X0))
| equalish(u9r1(X0),u10r1(X0))
| t3least(X0)
| r1most(X0)
| s1most(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f754]) ).
fof(model,axiom,
( sQ0_spl
| sQ2_spl
| sQ3_spl
| sQ4_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS009-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.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 : Sun Sep 20 22:50:11 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.41 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.13/0.41 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.44 % Elapsed time: 0.057056 seconds
% 0.13/0.44 % CPU time: 0.225371 seconds
% 0.13/0.44 % Total memory used: 20.425 MB
% 0.13/0.44 % Net memory used: 20.109 MB
%------------------------------------------------------------------------------