%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS005-1 : 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 : n004.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 0.13s 0.38s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X5,X1] :
( ~ r(X1,X5)
| ~ e(X1)
| equalish(X5,u0r4(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X1] :
( ~ e(X1)
| r(X1,u0r4(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X1] :
( ~ equalish(u0r3(X1),u0r2(X1))
| ~ e(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X1] :
( ~ e(X1)
| r(X1,u0r2(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X1] :
( ~ e(X1)
| r(X1,u0r3(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X1,X3,X2,X4] :
( ~ equalish(u0r1(X4,X1),X4)
| ~ r(X1,X4)
| ~ r(X1,X2)
| ~ r(X1,X3)
| equalish(X3,X2)
| e(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X1,X3,X2,X4] :
( ~ r(X1,X4)
| ~ r(X1,X2)
| ~ r(X1,X3)
| r(X1,u0r1(X4,X1))
| equalish(X3,X2)
| e(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
e(exist),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
! [X0,X1] :
( ~ r(X1,X0)
| ~ e(X1)
| equalish(X0,u0r4(X1)) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [X0] :
( ~ e(X0)
| r(X0,u0r4(X0)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0] :
( ~ equalish(u0r3(X0),u0r2(X0))
| ~ e(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
! [X0] :
( ~ e(X0)
| r(X0,u0r2(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0] :
( ~ e(X0)
| r(X0,u0r3(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
! [X1,X4] :
( ~ equalish(u0r1(X4,X1),X4)
| ~ r(X1,X4)
| ! [X2] :
( ~ r(X1,X2)
| ! [X3] :
( ~ r(X1,X3)
| equalish(X3,X2)
| e(X1) ) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( ~ equalish(u0r1(X3,X0),X3)
| ~ r(X0,X3)
| ~ r(X0,X2)
| ~ r(X0,X1)
| equalish(X1,X2)
| e(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [X1,X4] :
( ~ r(X1,X4)
| ! [X2] :
( ~ r(X1,X2)
| ! [X3] :
( ~ r(X1,X3)
| r(X1,u0r1(X4,X1))
| equalish(X3,X2)
| e(X1) ) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f18,plain,
! [X0,X1,X2,X3] :
( ~ r(X0,X3)
| ~ r(X0,X2)
| ~ r(X0,X1)
| r(X0,u0r1(X3,X0))
| equalish(X1,X2)
| e(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
r(exist,u0r4(exist)),
inference(resolution,[status(thm)],[f11,f9]) ).
fof(f20,plain,
r(exist,u0r2(exist)),
inference(resolution,[status(thm)],[f13,f9]) ).
fof(f21,plain,
r(exist,u0r3(exist)),
inference(resolution,[status(thm)],[f14,f9]) ).
fof(f22,plain,
( ~ e(exist)
| equalish(u0r3(exist),u0r4(exist)) ),
inference(resolution,[status(thm)],[f10,f21]) ).
fof(f23,plain,
( ~ e(exist)
| equalish(u0r2(exist),u0r4(exist)) ),
inference(resolution,[status(thm)],[f10,f20]) ).
fof(f24,plain,
( ~ e(exist)
| equalish(u0r4(exist),u0r4(exist)) ),
inference(resolution,[status(thm)],[f10,f19]) ).
fof(f25,definition,
( sQ0_spl
<=> equalish(u0r3(exist),u0r4(exist)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f26,plain,
( ~ sQ0_spl
| equalish(u0r3(exist),u0r4(exist)) ),
inference(component_clause,[status(thm)],[f25]) ).
fof(f28,definition,
( sQ1_spl
<=> e(exist) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f30,plain,
( sQ1_spl
| ~ e(exist) ),
inference(component_clause,[status(thm)],[f28]) ).
fof(f31,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f22,f25,f28]) ).
fof(f32,definition,
( sQ2_spl
<=> equalish(u0r2(exist),u0r4(exist)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f33,plain,
( ~ sQ2_spl
| equalish(u0r2(exist),u0r4(exist)) ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,plain,
( ~ sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f23,f32,f28]) ).
fof(f36,definition,
( sQ3_spl
<=> equalish(u0r4(exist),u0r4(exist)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f37,plain,
( ~ sQ3_spl
| equalish(u0r4(exist),u0r4(exist)) ),
inference(component_clause,[status(thm)],[f36]) ).
fof(f39,plain,
( ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f24,f36,f28]) ).
fof(f40,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f30,f9]) ).
fof(f41,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f40]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| sQ3_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS005-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 22:50:19 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % 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
% 0.13/0.40 % Elapsed time: 0.049176 seconds
% 0.13/0.40 % CPU time: 0.123460 seconds
% 0.13/0.40 % Total memory used: 16.716 MB
% 0.13/0.40 % Net memory used: 16.224 MB
%------------------------------------------------------------------------------