%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS014-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 0.38s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
e(exists),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X1,X2] :
( ~ r(X1,X2)
| ~ e(X1)
| s(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X1,X2] :
( ~ s(X1,X2)
| ~ e(X1)
| r(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X1] :
( ~ e(X1)
| s2exact(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X1] :
( ~ e(X1)
| r1exact(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X1] :
( ~ s2exact(X1)
| ~ r1exact(X1)
| r(X1,u0r1(X1))
| s(X1,u0r1(X1))
| e(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X1] :
( ~ s(X1,u0r1(X1))
| ~ r(X1,u0r1(X1))
| ~ s2exact(X1)
| ~ r1exact(X1)
| e(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X3,X1] :
( ~ r(X1,X3)
| ~ r1exact(X1)
| equalish(X3,u1r2(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X1] :
( ~ r1exact(X1)
| r(X1,u1r2(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X1,X2] :
( ~ equalish(u1r1(X2,X1),X2)
| ~ r(X1,X2)
| r1exact(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X1,X2] :
( ~ r(X1,X2)
| r(X1,u1r1(X2,X1))
| r1exact(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X4,X1] :
( ~ s(X1,X4)
| ~ s2exact(X1)
| equalish(X4,u2r2(X1))
| equalish(X4,u2r3(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X1] :
( ~ equalish(u2r3(X1),u2r2(X1))
| ~ s2exact(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X1] :
( ~ s2exact(X1)
| s(X1,u2r2(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X1] :
( ~ s2exact(X1)
| s(X1,u2r3(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X1,X3,X2] :
( ~ equalish(u2r1(X3,X2,X1),X2)
| ~ s(X1,X2)
| ~ s(X1,X3)
| equalish(X3,X2)
| s2exact(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X1,X3,X2] :
( ~ equalish(u2r1(X3,X2,X1),X3)
| ~ s(X1,X2)
| ~ s(X1,X3)
| equalish(X3,X2)
| s2exact(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X1,X3,X2] :
( ~ s(X1,X2)
| ~ s(X1,X3)
| s(X1,u2r1(X3,X2,X1))
| equalish(X3,X2)
| s2exact(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,plain,
e(exists),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
! [X0,X1] :
( ~ r(X0,X1)
| ~ e(X0)
| s(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f21,plain,
! [X0,X1] :
( ~ s(X0,X1)
| ~ e(X0)
| r(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
! [X0] :
( ~ e(X0)
| s2exact(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
! [X0] :
( ~ e(X0)
| r1exact(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f24,plain,
! [X0] :
( ~ s2exact(X0)
| ~ r1exact(X0)
| r(X0,u0r1(X0))
| s(X0,u0r1(X0))
| e(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f25,plain,
! [X0] :
( ~ s(X0,u0r1(X0))
| ~ r(X0,u0r1(X0))
| ~ s2exact(X0)
| ~ r1exact(X0)
| e(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f26,plain,
! [X0,X1] :
( ~ r(X1,X0)
| ~ r1exact(X1)
| equalish(X0,u1r2(X1)) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f27,plain,
! [X0] :
( ~ r1exact(X0)
| r(X0,u1r2(X0)) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
! [X0,X1] :
( ~ equalish(u1r1(X1,X0),X1)
| ~ r(X0,X1)
| r1exact(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
! [X0,X1] :
( ~ r(X0,X1)
| r(X0,u1r1(X1,X0))
| r1exact(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f30,plain,
! [X0,X1] :
( ~ s(X1,X0)
| ~ s2exact(X1)
| equalish(X0,u2r2(X1))
| equalish(X0,u2r3(X1)) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f31,plain,
! [X0] :
( ~ equalish(u2r3(X0),u2r2(X0))
| ~ s2exact(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f32,plain,
! [X0] :
( ~ s2exact(X0)
| s(X0,u2r2(X0)) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f33,plain,
! [X0] :
( ~ s2exact(X0)
| s(X0,u2r3(X0)) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ equalish(u2r1(X1,X2,X0),X2)
| ~ s(X0,X2)
| ~ s(X0,X1)
| equalish(X1,X2)
| s2exact(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ equalish(u2r1(X1,X2,X0),X1)
| ~ s(X0,X2)
| ~ s(X0,X1)
| equalish(X1,X2)
| s2exact(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f36,plain,
! [X1,X2] :
( ~ s(X1,X2)
| ! [X3] :
( ~ s(X1,X3)
| s(X1,u2r1(X3,X2,X1))
| equalish(X3,X2)
| s2exact(X1) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ s(X0,X2)
| ~ s(X0,X1)
| s(X0,u2r1(X1,X2,X0))
| equalish(X1,X2)
| s2exact(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
s2exact(exists),
inference(resolution,[status(thm)],[f22,f19]) ).
fof(f39,plain,
r1exact(exists),
inference(resolution,[status(thm)],[f23,f19]) ).
fof(f40,plain,
r(exists,u1r2(exists)),
inference(resolution,[status(thm)],[f27,f39]) ).
fof(f41,plain,
( ~ r1exact(exists)
| equalish(u1r2(exists),u1r2(exists)) ),
inference(resolution,[status(thm)],[f40,f26]) ).
fof(f42,plain,
( ~ e(exists)
| s(exists,u1r2(exists)) ),
inference(resolution,[status(thm)],[f40,f20]) ).
fof(f43,definition,
( sQ0_spl
<=> equalish(u1r2(exists),u1r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f44,plain,
( ~ sQ0_spl
| equalish(u1r2(exists),u1r2(exists)) ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,definition,
( sQ1_spl
<=> r1exact(exists) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f49,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f41,f43,f46]) ).
fof(f50,definition,
( sQ2_spl
<=> s(exists,u1r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f51,plain,
( ~ sQ2_spl
| s(exists,u1r2(exists)) ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,definition,
( sQ3_spl
<=> e(exists) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f55,plain,
( sQ3_spl
| ~ e(exists) ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f42,f50,f53]) ).
fof(f57,plain,
( ~ sQ2_spl
| ~ e(exists)
| r(exists,u1r2(exists)) ),
inference(resolution,[status(thm)],[f51,f21]) ).
fof(f58,definition,
( sQ4_spl
<=> r(exists,u1r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f57,f58,f53,f50]) ).
fof(f62,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f19]) ).
fof(f63,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f62]) ).
fof(f66,plain,
s(exists,u2r2(exists)),
inference(resolution,[status(thm)],[f32,f38]) ).
fof(f67,plain,
( ~ e(exists)
| r(exists,u2r2(exists)) ),
inference(resolution,[status(thm)],[f66,f21]) ).
fof(f68,definition,
( sQ5_spl
<=> r(exists,u2r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f69,plain,
( ~ sQ5_spl
| r(exists,u2r2(exists)) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,plain,
( ~ sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f67,f68,f53]) ).
fof(f72,plain,
s(exists,u2r3(exists)),
inference(resolution,[status(thm)],[f33,f38]) ).
fof(f73,plain,
( r(exists,u1r1(u1r2(exists),exists))
| r1exact(exists) ),
inference(resolution,[status(thm)],[f29,f40]) ).
fof(f74,definition,
( sQ6_spl
<=> r(exists,u1r1(u1r2(exists),exists)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f75,plain,
( ~ sQ6_spl
| r(exists,u1r1(u1r2(exists),exists)) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f76,plain,
( sQ6_spl
| ~ r(exists,u1r1(u1r2(exists),exists)) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f77,plain,
( sQ6_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f73,f46,f74]) ).
fof(f78,plain,
( ~ s2exact(exists)
| equalish(u2r2(exists),u2r2(exists))
| equalish(u2r2(exists),u2r3(exists)) ),
inference(resolution,[status(thm)],[f30,f66]) ).
fof(f79,plain,
( ~ sQ2_spl
| ~ s2exact(exists)
| equalish(u1r2(exists),u2r2(exists))
| equalish(u1r2(exists),u2r3(exists)) ),
inference(resolution,[status(thm)],[f30,f51]) ).
fof(f80,definition,
( sQ7_spl
<=> equalish(u2r2(exists),u2r3(exists)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f81,plain,
( ~ sQ7_spl
| equalish(u2r2(exists),u2r3(exists)) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,definition,
( sQ8_spl
<=> equalish(u2r2(exists),u2r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f86,definition,
( sQ9_spl
<=> s2exact(exists) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f88,plain,
( sQ9_spl
| ~ s2exact(exists) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,plain,
( ~ sQ9_spl
| sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f78,f80,f83,f86]) ).
fof(f90,definition,
( sQ10_spl
<=> equalish(u1r2(exists),u2r3(exists)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f91,plain,
( ~ sQ10_spl
| equalish(u1r2(exists),u2r3(exists)) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,definition,
( sQ11_spl
<=> equalish(u1r2(exists),u2r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f79,f90,f93,f86,f50]) ).
fof(f97,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f88,f38]) ).
fof(f98,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f97]) ).
fof(f117,plain,
( ~ sQ5_spl
| r(exists,u1r1(u2r2(exists),exists))
| r1exact(exists) ),
inference(resolution,[status(thm)],[f69,f29]) ).
fof(f118,plain,
( ~ sQ5_spl
| ~ r1exact(exists)
| equalish(u2r2(exists),u1r2(exists)) ),
inference(resolution,[status(thm)],[f69,f26]) ).
fof(f119,plain,
( ~ sQ5_spl
| ~ e(exists)
| s(exists,u2r2(exists)) ),
inference(resolution,[status(thm)],[f69,f20]) ).
fof(f120,definition,
( sQ16_spl
<=> r(exists,u1r1(u2r2(exists),exists)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ16_spl
| r(exists,u1r1(u2r2(exists),exists)) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,plain,
( ~ sQ5_spl
| sQ16_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f117,f46,f120,f68]) ).
fof(f124,definition,
( sQ17_spl
<=> equalish(u2r2(exists),u1r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ17_spl
| equalish(u2r2(exists),u1r2(exists)) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f118,f124,f46,f68]) ).
fof(f128,definition,
( sQ18_spl
<=> s(exists,u2r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f119,f128,f53,f68]) ).
fof(f133,plain,
( ~ s2exact(exists)
| equalish(u2r3(exists),u2r2(exists))
| equalish(u2r3(exists),u2r3(exists)) ),
inference(resolution,[status(thm)],[f72,f30]) ).
fof(f134,plain,
( ~ e(exists)
| r(exists,u2r3(exists)) ),
inference(resolution,[status(thm)],[f72,f21]) ).
fof(f139,definition,
( sQ20_spl
<=> equalish(u2r3(exists),u2r3(exists)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ20_spl
| equalish(u2r3(exists),u2r3(exists)) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,definition,
( sQ21_spl
<=> equalish(u2r3(exists),u2r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ9_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f133,f139,f142,f86]) ).
fof(f146,definition,
( sQ22_spl
<=> r(exists,u2r3(exists)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ22_spl
| r(exists,u2r3(exists)) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( ~ sQ3_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f134,f146,f53]) ).
fof(f150,plain,
( ~ sQ6_spl
| r(exists,u1r1(u1r1(u1r2(exists),exists),exists))
| r1exact(exists) ),
inference(resolution,[status(thm)],[f75,f29]) ).
fof(f151,plain,
( ~ sQ6_spl
| ~ r1exact(exists)
| equalish(u1r1(u1r2(exists),exists),u1r2(exists)) ),
inference(resolution,[status(thm)],[f75,f26]) ).
fof(f152,plain,
( ~ sQ6_spl
| ~ e(exists)
| s(exists,u1r1(u1r2(exists),exists)) ),
inference(resolution,[status(thm)],[f75,f20]) ).
fof(f153,definition,
( sQ23_spl
<=> r(exists,u1r1(u1r1(u1r2(exists),exists),exists)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ6_spl
| sQ23_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f150,f46,f153,f74]) ).
fof(f157,definition,
( sQ24_spl
<=> equalish(u1r1(u1r2(exists),exists),u1r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f151,f157,f46,f74]) ).
fof(f161,definition,
( sQ25_spl
<=> s(exists,u1r1(u1r2(exists),exists)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ6_spl
| ~ sQ3_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f152,f161,f53,f74]) ).
fof(f165,plain,
( ~ sQ22_spl
| r(exists,u1r1(u2r3(exists),exists))
| r1exact(exists) ),
inference(resolution,[status(thm)],[f147,f29]) ).
fof(f166,plain,
( ~ sQ22_spl
| ~ r1exact(exists)
| equalish(u2r3(exists),u1r2(exists)) ),
inference(resolution,[status(thm)],[f147,f26]) ).
fof(f167,plain,
( ~ sQ22_spl
| ~ e(exists)
| s(exists,u2r3(exists)) ),
inference(resolution,[status(thm)],[f147,f20]) ).
fof(f168,definition,
( sQ26_spl
<=> r(exists,u1r1(u2r3(exists),exists)) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ26_spl
| r(exists,u1r1(u2r3(exists),exists)) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( ~ sQ22_spl
| sQ26_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f165,f46,f168,f146]) ).
fof(f172,definition,
( sQ27_spl
<=> equalish(u2r3(exists),u1r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ27_spl
| equalish(u2r3(exists),u1r2(exists)) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f166,f172,f46,f146]) ).
fof(f176,definition,
( sQ28_spl
<=> s(exists,u2r3(exists)) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ22_spl
| ~ sQ3_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f167,f176,f53,f146]) ).
fof(f180,plain,
( ~ sQ16_spl
| r(exists,u1r1(u1r1(u2r2(exists),exists),exists))
| r1exact(exists) ),
inference(resolution,[status(thm)],[f121,f29]) ).
fof(f181,plain,
( ~ sQ16_spl
| ~ r1exact(exists)
| equalish(u1r1(u2r2(exists),exists),u1r2(exists)) ),
inference(resolution,[status(thm)],[f121,f26]) ).
fof(f182,plain,
( ~ sQ16_spl
| ~ e(exists)
| s(exists,u1r1(u2r2(exists),exists)) ),
inference(resolution,[status(thm)],[f121,f20]) ).
fof(f183,definition,
( sQ29_spl
<=> r(exists,u1r1(u1r1(u2r2(exists),exists),exists)) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ29_spl
| r(exists,u1r1(u1r1(u2r2(exists),exists),exists)) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( ~ sQ16_spl
| sQ29_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f180,f46,f183,f120]) ).
fof(f187,definition,
( sQ30_spl
<=> equalish(u1r1(u2r2(exists),exists),u1r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ30_spl
| equalish(u1r1(u2r2(exists),exists),u1r2(exists)) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f181,f187,f46,f120]) ).
fof(f191,definition,
( sQ31_spl
<=> s(exists,u1r1(u2r2(exists),exists)) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ31_spl
| s(exists,u1r1(u2r2(exists),exists)) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( ~ sQ16_spl
| ~ sQ3_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f182,f191,f53,f120]) ).
fof(f195,plain,
( ~ sQ26_spl
| r(exists,u1r1(u1r1(u2r3(exists),exists),exists))
| r1exact(exists) ),
inference(resolution,[status(thm)],[f169,f29]) ).
fof(f196,plain,
( ~ sQ26_spl
| ~ r1exact(exists)
| equalish(u1r1(u2r3(exists),exists),u1r2(exists)) ),
inference(resolution,[status(thm)],[f169,f26]) ).
fof(f197,plain,
( ~ sQ26_spl
| ~ e(exists)
| s(exists,u1r1(u2r3(exists),exists)) ),
inference(resolution,[status(thm)],[f169,f20]) ).
fof(f198,definition,
( sQ32_spl
<=> r(exists,u1r1(u1r1(u2r3(exists),exists),exists)) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ32_spl
| r(exists,u1r1(u1r1(u2r3(exists),exists),exists)) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( ~ sQ26_spl
| sQ32_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f195,f46,f198,f168]) ).
fof(f202,definition,
( sQ33_spl
<=> equalish(u1r1(u2r3(exists),exists),u1r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ33_spl
| equalish(u1r1(u2r3(exists),exists),u1r2(exists)) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( ~ sQ26_spl
| ~ sQ1_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f196,f202,f46,f168]) ).
fof(f206,definition,
( sQ34_spl
<=> s(exists,u1r1(u2r3(exists),exists)) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ34_spl
| s(exists,u1r1(u2r3(exists),exists)) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( ~ sQ26_spl
| ~ sQ3_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f197,f206,f53,f168]) ).
fof(f211,plain,
( ~ sQ31_spl
| ~ s2exact(exists)
| equalish(u1r1(u2r2(exists),exists),u2r2(exists))
| equalish(u1r1(u2r2(exists),exists),u2r3(exists)) ),
inference(resolution,[status(thm)],[f192,f30]) ).
fof(f212,plain,
( ~ sQ31_spl
| ~ e(exists)
| r(exists,u1r1(u2r2(exists),exists)) ),
inference(resolution,[status(thm)],[f192,f21]) ).
fof(f217,definition,
( sQ36_spl
<=> equalish(u1r1(u2r2(exists),exists),u2r3(exists)) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ36_spl
| equalish(u1r1(u2r2(exists),exists),u2r3(exists)) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,definition,
( sQ37_spl
<=> equalish(u1r1(u2r2(exists),exists),u2r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ31_spl
| ~ sQ9_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f211,f217,f220,f86,f191]) ).
fof(f224,plain,
( ~ sQ31_spl
| ~ sQ3_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f212,f120,f53,f191]) ).
fof(f226,plain,
( ~ sQ34_spl
| ~ s2exact(exists)
| equalish(u1r1(u2r3(exists),exists),u2r2(exists))
| equalish(u1r1(u2r3(exists),exists),u2r3(exists)) ),
inference(resolution,[status(thm)],[f207,f30]) ).
fof(f227,plain,
( ~ sQ34_spl
| ~ e(exists)
| r(exists,u1r1(u2r3(exists),exists)) ),
inference(resolution,[status(thm)],[f207,f21]) ).
fof(f232,definition,
( sQ39_spl
<=> equalish(u1r1(u2r3(exists),exists),u2r3(exists)) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ39_spl
| equalish(u1r1(u2r3(exists),exists),u2r3(exists)) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ40_spl
<=> equalish(u1r1(u2r3(exists),exists),u2r2(exists)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ40_spl
| equalish(u1r1(u2r3(exists),exists),u2r2(exists)) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,plain,
( ~ sQ34_spl
| ~ sQ9_spl
| sQ40_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f226,f232,f235,f86,f206]) ).
fof(f239,plain,
( ~ sQ34_spl
| ~ sQ3_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f227,f168,f53,f206]) ).
fof(f240,plain,
( ~ sQ39_spl
| ~ r(exists,u2r3(exists))
| r1exact(exists) ),
inference(resolution,[status(thm)],[f233,f28]) ).
fof(f241,plain,
( ~ sQ39_spl
| ~ sQ22_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f240,f46,f146,f232]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| sQ3_spl
| sQ4_spl
| sQ5_spl
| ~ sQ6_spl
| sQ7_spl
| sQ9_spl
| sQ10_spl
| sQ16_spl
| sQ17_spl
| sQ18_spl
| sQ20_spl
| sQ22_spl
| sQ26_spl
| sQ27_spl
| sQ28_spl
| sQ30_spl
| sQ31_spl
| sQ33_spl
| sQ34_spl
| sQ36_spl
| sQ40_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS014-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.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 22:53:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.38 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.13/0.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.040666 seconds
% 0.13/0.41 % CPU time: 0.117380 seconds
% 0.13/0.41 % Total memory used: 17.110 MB
% 0.13/0.41 % Net memory used: 16.725 MB
%------------------------------------------------------------------------------