%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM023+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 12:10:19 PM UTC 2026
% Result : Theorem 0.14s 5.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 84 ( 12 unt; 16 def)
% Number of atoms : 315 ( 0 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 382 ( 151 ~; 166 |; 45 &)
% ( 17 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 16 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-3 aty)
% Number of variables : 73 ( 60 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,definition,
! [W0] :
( aRewritingSystem0(W0)
=> ( isConfluent0(W0)
<=> ! [W1,W2,W3] :
( ( sdtmndtasgtdt0(W1,W0,W3)
& sdtmndtasgtdt0(W1,W0,W2)
& aElement0(W3)
& aElement0(W2)
& aElement0(W1) )
=> ? [W4] :
( sdtmndtasgtdt0(W3,W0,W4)
& sdtmndtasgtdt0(W2,W0,W4)
& aElement0(W4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
( isTerminating0(xR)
& isLocallyConfluent0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
! [W0,W1,W2] :
( ( sdtmndtasgtdt0(W0,xR,W2)
& sdtmndtasgtdt0(W0,xR,W1)
& aElement0(W2)
& aElement0(W1)
& aElement0(W0) )
=> ? [W3] :
( sdtmndtasgtdt0(W2,xR,W3)
& sdtmndtasgtdt0(W1,xR,W3)
& aElement0(W3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
isConfluent0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ isConfluent0(xR),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f49,plain,
! [W0] :
( ( isConfluent0(W0)
<=> ! [W1,W2,W3] :
( ? [W4] :
( sdtmndtasgtdt0(W3,W0,W4)
& sdtmndtasgtdt0(W2,W0,W4)
& aElement0(W4) )
| ~ sdtmndtasgtdt0(W1,W0,W3)
| ~ sdtmndtasgtdt0(W1,W0,W2)
| ~ aElement0(W3)
| ~ aElement0(W2)
| ~ aElement0(W1) ) )
| ~ aRewritingSystem0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f50,plain,
! [W0] :
( ( ( ? [W1,W2,W3] :
( ! [W4] :
( ~ sdtmndtasgtdt0(W3,W0,W4)
| ~ sdtmndtasgtdt0(W2,W0,W4)
| ~ aElement0(W4) )
& sdtmndtasgtdt0(W1,W0,W3)
& sdtmndtasgtdt0(W1,W0,W2)
& aElement0(W3)
& aElement0(W2)
& aElement0(W1) )
| isConfluent0(W0) )
& ( ! [W1,W2,W3] :
( ? [W4] :
( sdtmndtasgtdt0(W3,W0,W4)
& sdtmndtasgtdt0(W2,W0,W4)
& aElement0(W4) )
| ~ sdtmndtasgtdt0(W1,W0,W3)
| ~ sdtmndtasgtdt0(W1,W0,W2)
| ~ aElement0(W3)
| ~ aElement0(W2)
| ~ aElement0(W1) )
| ~ isConfluent0(W0) ) )
| ~ aRewritingSystem0(W0) ),
inference(NNF_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [W0] :
( ( ( ? [W2,W3] :
( ! [W4] :
( ~ sdtmndtasgtdt0(W3,W0,W4)
| ~ sdtmndtasgtdt0(W2,W0,W4)
| ~ aElement0(W4) )
& ? [W1] :
( sdtmndtasgtdt0(W1,W0,W3)
& sdtmndtasgtdt0(W1,W0,W2)
& aElement0(W3)
& aElement0(W2)
& aElement0(W1) ) )
| isConfluent0(W0) )
& ( ! [W2,W3] :
( ? [W4] :
( sdtmndtasgtdt0(W3,W0,W4)
& sdtmndtasgtdt0(W2,W0,W4)
& aElement0(W4) )
| ! [W1] :
( ~ sdtmndtasgtdt0(W1,W0,W3)
| ~ sdtmndtasgtdt0(W1,W0,W2)
| ~ aElement0(W3)
| ~ aElement0(W2)
| ~ aElement0(W1) ) )
| ~ isConfluent0(W0) ) )
| ~ aRewritingSystem0(W0) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f52,plain,
! [W0] :
( ( ( ( ! [W4] :
( ~ sdtmndtasgtdt0(sK3_skl(W0),W0,W4)
| ~ sdtmndtasgtdt0(sK2_skl(W0),W0,W4)
| ~ aElement0(W4) )
& sdtmndtasgtdt0(sK4_skl(W0),W0,sK3_skl(W0))
& sdtmndtasgtdt0(sK4_skl(W0),W0,sK2_skl(W0))
& aElement0(sK3_skl(W0))
& aElement0(sK2_skl(W0))
& aElement0(sK4_skl(W0)) )
| isConfluent0(W0) )
& ( ! [W2,W3] :
( ( sdtmndtasgtdt0(W3,W0,sK1_skl(W3,W2,W0))
& sdtmndtasgtdt0(W2,W0,sK1_skl(W3,W2,W0))
& aElement0(sK1_skl(W3,W2,W0)) )
| ! [W1] :
( ~ sdtmndtasgtdt0(W1,W0,W3)
| ~ sdtmndtasgtdt0(W1,W0,W2)
| ~ aElement0(W3)
| ~ aElement0(W2)
| ~ aElement0(W1) ) )
| ~ isConfluent0(W0) ) )
| ~ aRewritingSystem0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(W4,sK1_skl(W3,W2,W0)),skolemize(W2,sK2_skl(W0)),skolemize(W3,sK3_skl(W0)),skolemize(W1,sK4_skl(W0))],[f51]) ).
fof(f56,plain,
! [X0] :
( aElement0(sK4_skl(X0))
| isConfluent0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f57,plain,
! [X0] :
( aElement0(sK2_skl(X0))
| isConfluent0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f58,plain,
! [X0] :
( aElement0(sK3_skl(X0))
| isConfluent0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f59,plain,
! [X0] :
( sdtmndtasgtdt0(sK4_skl(X0),X0,sK2_skl(X0))
| isConfluent0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f60,plain,
! [X0] :
( sdtmndtasgtdt0(sK4_skl(X0),X0,sK3_skl(X0))
| isConfluent0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f61,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(sK3_skl(X0),X0,X1)
| ~ sdtmndtasgtdt0(sK2_skl(X0),X0,X1)
| ~ aElement0(X1)
| isConfluent0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f94,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f95,plain,
isLocallyConfluent0(xR),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f96,plain,
isTerminating0(xR),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f97,plain,
! [W0,W1,W2] :
( ? [W3] :
( sdtmndtasgtdt0(W2,xR,W3)
& sdtmndtasgtdt0(W1,xR,W3)
& aElement0(W3) )
| ~ sdtmndtasgtdt0(W0,xR,W2)
| ~ sdtmndtasgtdt0(W0,xR,W1)
| ~ aElement0(W2)
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f98,plain,
! [W1,W2] :
( ? [W3] :
( sdtmndtasgtdt0(W2,xR,W3)
& sdtmndtasgtdt0(W1,xR,W3)
& aElement0(W3) )
| ! [W0] :
( ~ sdtmndtasgtdt0(W0,xR,W2)
| ~ sdtmndtasgtdt0(W0,xR,W1)
| ~ aElement0(W2)
| ~ aElement0(W1)
| ~ aElement0(W0) ) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f99,plain,
! [W1,W2] :
( ( sdtmndtasgtdt0(W2,xR,sK13_skl(W2,W1))
& sdtmndtasgtdt0(W1,xR,sK13_skl(W2,W1))
& aElement0(sK13_skl(W2,W1)) )
| ! [W0] :
( ~ sdtmndtasgtdt0(W0,xR,W2)
| ~ sdtmndtasgtdt0(W0,xR,W1)
| ~ aElement0(W2)
| ~ aElement0(W1)
| ~ aElement0(W0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(W3,sK13_skl(W2,W1))],[f98]) ).
fof(f100,plain,
! [X0,X1,X2] :
( aElement0(sK13_skl(X2,X1))
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( sdtmndtasgtdt0(X1,xR,sK13_skl(X2,X1))
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f102,plain,
! [X0,X1,X2] :
( sdtmndtasgtdt0(X2,xR,sK13_skl(X2,X1))
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f103,plain,
~ isConfluent0(xR),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f111,plain,
( aElement0(sK4_skl(xR))
| isConfluent0(xR) ),
inference(resolution,[status(thm)],[f56,f94]) ).
fof(f112,definition,
( sQ0_spl
<=> isConfluent0(xR) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ0_spl
| isConfluent0(xR) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,definition,
( sQ1_spl
<=> aElement0(sK4_skl(xR)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f111,f112,f115]) ).
fof(f119,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f113,f103]) ).
fof(f120,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f119]) ).
fof(f126,definition,
( sQ2_spl
<=> aRewritingSystem0(xR) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( sQ2_spl
| ~ aRewritingSystem0(xR) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f144,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f128,f94]) ).
fof(f145,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f144]) ).
fof(f151,plain,
( aElement0(sK2_skl(xR))
| isConfluent0(xR) ),
inference(resolution,[status(thm)],[f57,f94]) ).
fof(f152,definition,
( sQ8_spl
<=> aElement0(sK2_skl(xR)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f151,f112,f152]) ).
fof(f191,plain,
( aElement0(sK3_skl(xR))
| isConfluent0(xR) ),
inference(resolution,[status(thm)],[f58,f94]) ).
fof(f192,definition,
( sQ16_spl
<=> aElement0(sK3_skl(xR)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f191,f112,f192]) ).
fof(f198,definition,
( sQ17_spl
<=> isLocallyConfluent0(xR) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( sQ17_spl
| ~ isLocallyConfluent0(xR) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f210,plain,
( sdtmndtasgtdt0(sK4_skl(xR),xR,sK2_skl(xR))
| isConfluent0(xR) ),
inference(resolution,[status(thm)],[f59,f94]) ).
fof(f211,definition,
( sQ20_spl
<=> sdtmndtasgtdt0(sK4_skl(xR),xR,sK2_skl(xR)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ20_spl
| sdtmndtasgtdt0(sK4_skl(xR),xR,sK2_skl(xR)) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,plain,
( sQ20_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f210,f112,f211]) ).
fof(f215,plain,
( sdtmndtasgtdt0(sK4_skl(xR),xR,sK3_skl(xR))
| isConfluent0(xR) ),
inference(resolution,[status(thm)],[f60,f94]) ).
fof(f216,definition,
( sQ21_spl
<=> sdtmndtasgtdt0(sK4_skl(xR),xR,sK3_skl(xR)) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ21_spl
| sdtmndtasgtdt0(sK4_skl(xR),xR,sK3_skl(xR)) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( sQ21_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f215,f112,f216]) ).
fof(f426,definition,
( sQ56_spl
<=> isTerminating0(xR) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( sQ56_spl
| ~ isTerminating0(xR) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f493,plain,
( sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f96]) ).
fof(f494,plain,
sQ56_spl,
inference(contradiction_clause,[status(thm)],[f493]) ).
fof(f601,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f200,f95]) ).
fof(f602,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f601]) ).
fof(f675,plain,
! [X0] :
( ~ sQ21_spl
| aElement0(sK13_skl(X0,sK3_skl(xR)))
| ~ sdtmndtasgtdt0(sK4_skl(xR),xR,X0)
| ~ aElement0(X0)
| ~ aElement0(sK3_skl(xR))
| ~ aElement0(sK4_skl(xR)) ),
inference(resolution,[status(thm)],[f100,f217]) ).
fof(f689,definition,
! [X0] :
( sQ96_spl
<=> ( aElement0(sK13_skl(X0,sK3_skl(xR)))
| ~ sdtmndtasgtdt0(sK4_skl(xR),xR,X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f690,plain,
! [X0] :
( ~ sQ96_spl
| aElement0(sK13_skl(X0,sK3_skl(xR)))
| ~ sdtmndtasgtdt0(sK4_skl(xR),xR,X0)
| ~ aElement0(X0) ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f692,plain,
( ~ sQ21_spl
| sQ96_spl
| ~ sQ16_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f675,f115,f192,f689,f216]) ).
fof(f700,plain,
! [X0] :
( ~ sQ21_spl
| sdtmndtasgtdt0(sK3_skl(xR),xR,sK13_skl(X0,sK3_skl(xR)))
| ~ sdtmndtasgtdt0(sK4_skl(xR),xR,X0)
| ~ aElement0(X0)
| ~ aElement0(sK3_skl(xR))
| ~ aElement0(sK4_skl(xR)) ),
inference(resolution,[status(thm)],[f101,f217]) ).
fof(f714,definition,
! [X0] :
( sQ101_spl
<=> ( sdtmndtasgtdt0(sK3_skl(xR),xR,sK13_skl(X0,sK3_skl(xR)))
| ~ sdtmndtasgtdt0(sK4_skl(xR),xR,X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f715,plain,
! [X0] :
( ~ sQ101_spl
| sdtmndtasgtdt0(sK3_skl(xR),xR,sK13_skl(X0,sK3_skl(xR)))
| ~ sdtmndtasgtdt0(sK4_skl(xR),xR,X0)
| ~ aElement0(X0) ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,plain,
( ~ sQ21_spl
| sQ101_spl
| ~ sQ16_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f700,f115,f192,f714,f216]) ).
fof(f725,plain,
! [X0] :
( ~ sQ21_spl
| sdtmndtasgtdt0(X0,xR,sK13_skl(X0,sK3_skl(xR)))
| ~ sdtmndtasgtdt0(sK4_skl(xR),xR,X0)
| ~ aElement0(X0)
| ~ aElement0(sK3_skl(xR))
| ~ aElement0(sK4_skl(xR)) ),
inference(resolution,[status(thm)],[f102,f217]) ).
fof(f739,definition,
! [X0] :
( sQ106_spl
<=> ( sdtmndtasgtdt0(X0,xR,sK13_skl(X0,sK3_skl(xR)))
| ~ sdtmndtasgtdt0(sK4_skl(xR),xR,X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f740,plain,
! [X0] :
( ~ sQ106_spl
| sdtmndtasgtdt0(X0,xR,sK13_skl(X0,sK3_skl(xR)))
| ~ sdtmndtasgtdt0(sK4_skl(xR),xR,X0)
| ~ aElement0(X0) ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( ~ sQ21_spl
| sQ106_spl
| ~ sQ16_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f725,f115,f192,f739,f216]) ).
fof(f775,plain,
( ~ sQ20_spl
| ~ sQ96_spl
| aElement0(sK13_skl(sK2_skl(xR),sK3_skl(xR)))
| ~ aElement0(sK2_skl(xR)) ),
inference(resolution,[status(thm)],[f690,f212]) ).
fof(f781,definition,
( sQ113_spl
<=> aElement0(sK13_skl(sK2_skl(xR),sK3_skl(xR))) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( ~ sQ20_spl
| ~ sQ96_spl
| sQ113_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f775,f152,f781,f689,f211]) ).
fof(f817,plain,
( ~ sQ20_spl
| ~ sQ101_spl
| sdtmndtasgtdt0(sK3_skl(xR),xR,sK13_skl(sK2_skl(xR),sK3_skl(xR)))
| ~ aElement0(sK2_skl(xR)) ),
inference(resolution,[status(thm)],[f715,f212]) ).
fof(f823,definition,
( sQ119_spl
<=> sdtmndtasgtdt0(sK3_skl(xR),xR,sK13_skl(sK2_skl(xR),sK3_skl(xR))) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ119_spl
| sdtmndtasgtdt0(sK3_skl(xR),xR,sK13_skl(sK2_skl(xR),sK3_skl(xR))) ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,plain,
( ~ sQ20_spl
| ~ sQ101_spl
| sQ119_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f817,f152,f823,f714,f211]) ).
fof(f844,plain,
( ~ sQ20_spl
| ~ sQ106_spl
| sdtmndtasgtdt0(sK2_skl(xR),xR,sK13_skl(sK2_skl(xR),sK3_skl(xR)))
| ~ aElement0(sK2_skl(xR)) ),
inference(resolution,[status(thm)],[f740,f212]) ).
fof(f850,definition,
( sQ124_spl
<=> sdtmndtasgtdt0(sK2_skl(xR),xR,sK13_skl(sK2_skl(xR),sK3_skl(xR))) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( ~ sQ20_spl
| ~ sQ106_spl
| sQ124_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f844,f152,f850,f739,f211]) ).
fof(f1070,plain,
( ~ sQ119_spl
| ~ sdtmndtasgtdt0(sK2_skl(xR),xR,sK13_skl(sK2_skl(xR),sK3_skl(xR)))
| ~ aElement0(sK13_skl(sK2_skl(xR),sK3_skl(xR)))
| isConfluent0(xR)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[status(thm)],[f824,f61]) ).
fof(f1084,plain,
( ~ sQ119_spl
| ~ sQ124_spl
| ~ sQ113_spl
| sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1070,f126,f112,f781,f850,f823]) ).
fof(f1127,plain,
$false,
inference(sat_refutation,[status(thm)],[f118,f120,f145,f155,f195,f214,f219,f494,f602,f692,f717,f742,f784,f826,f853,f1084]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM023+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n011.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 14:15:30 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 0.14/5.43 % Refutation found
% 0.14/5.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.45 % Elapsed time: 0.074203 seconds
% 0.14/5.45 % CPU time: 0.336294 seconds
% 0.14/5.45 % Total memory used: 87.635 MB
% 0.14/5.45 % Net memory used: 87.246 MB
%------------------------------------------------------------------------------