%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM017+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 12:10:18 PM UTC 2026
% Result : Theorem 1.16s 0.67s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 8 unt; 1 def)
% Number of atoms : 372 ( 26 equ)
% Maximal formula atoms : 30 ( 8 avg)
% Number of connectives : 508 ( 182 ~; 182 |; 140 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 85 ( 65 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,hypothesis,
( isTerminating0(xR)
& ! [W0,W1] :
( ( aElement0(W1)
& aElement0(W0) )
=> ( ( sdtmndtplgtdt0(W0,xR,W1)
| ? [W2] :
( sdtmndtplgtdt0(W2,xR,W1)
& aReductOfIn0(W2,W0,xR)
& aElement0(W2) )
| aReductOfIn0(W1,W0,xR) )
=> iLess0(W1,W0) ) )
& isLocallyConfluent0(xR)
& ! [W0,W1,W2] :
( ( aReductOfIn0(W2,W0,xR)
& aReductOfIn0(W1,W0,xR)
& aElement0(W2)
& aElement0(W1)
& aElement0(W0) )
=> ? [W3] :
( sdtmndtasgtdt0(W2,xR,W3)
& ( ( sdtmndtplgtdt0(W2,xR,W3)
& ( ? [W4] :
( sdtmndtplgtdt0(W4,xR,W3)
& aReductOfIn0(W4,W2,xR)
& aElement0(W4) )
| aReductOfIn0(W3,W2,xR) ) )
| W2 = W3 )
& sdtmndtasgtdt0(W1,xR,W3)
& ( ( sdtmndtplgtdt0(W1,xR,W3)
& ( ? [W4] :
( sdtmndtplgtdt0(W4,xR,W3)
& aReductOfIn0(W4,W1,xR)
& aElement0(W4) )
| aReductOfIn0(W3,W1,xR) ) )
| W1 = W3 )
& aElement0(W3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
( sdtmndtasgtdt0(xu,xR,xb)
& ( ( sdtmndtplgtdt0(xu,xR,xb)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xb)
& aReductOfIn0(W0,xu,xR)
& aElement0(W0) )
| aReductOfIn0(xb,xu,xR) ) )
| xu = xb )
& aReductOfIn0(xu,xa,xR)
& aElement0(xu) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
( sdtmndtasgtdt0(xv,xR,xc)
& ( ( sdtmndtplgtdt0(xv,xR,xc)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xc)
& aReductOfIn0(W0,xv,xR)
& aElement0(W0) )
| aReductOfIn0(xc,xv,xR) ) )
| xv = xc )
& aReductOfIn0(xv,xa,xR)
& aElement0(xv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,conjecture,
? [W0] :
( ( sdtmndtasgtdt0(xv,xR,W0)
| sdtmndtplgtdt0(xv,xR,W0)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,W0)
& aReductOfIn0(W1,xv,xR)
& aElement0(W1) )
| aReductOfIn0(W0,xv,xR)
| xv = W0 )
& ( sdtmndtasgtdt0(xu,xR,W0)
| sdtmndtplgtdt0(xu,xR,W0)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,W0)
& aReductOfIn0(W1,xu,xR)
& aElement0(W1) )
| aReductOfIn0(W0,xu,xR)
| xu = W0 )
& aElement0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
~ ? [W0] :
( ( sdtmndtasgtdt0(xv,xR,W0)
| sdtmndtplgtdt0(xv,xR,W0)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,W0)
& aReductOfIn0(W1,xv,xR)
& aElement0(W1) )
| aReductOfIn0(W0,xv,xR)
| xv = W0 )
& ( sdtmndtasgtdt0(xu,xR,W0)
| sdtmndtplgtdt0(xu,xR,W0)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,W0)
& aReductOfIn0(W1,xu,xR)
& aElement0(W1) )
| aReductOfIn0(W0,xu,xR)
| xu = W0 )
& aElement0(W0) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f99,plain,
( isTerminating0(xR)
& ! [W0,W1] :
( iLess0(W1,W0)
| ( ~ sdtmndtplgtdt0(W0,xR,W1)
& ! [W2] :
( ~ sdtmndtplgtdt0(W2,xR,W1)
| ~ aReductOfIn0(W2,W0,xR)
| ~ aElement0(W2) )
& ~ aReductOfIn0(W1,W0,xR) )
| ~ aElement0(W1)
| ~ aElement0(W0) )
& isLocallyConfluent0(xR)
& ! [W0,W1,W2] :
( ? [W3] :
( sdtmndtasgtdt0(W2,xR,W3)
& ( ( sdtmndtplgtdt0(W2,xR,W3)
& ( ? [W4] :
( sdtmndtplgtdt0(W4,xR,W3)
& aReductOfIn0(W4,W2,xR)
& aElement0(W4) )
| aReductOfIn0(W3,W2,xR) ) )
| W2 = W3 )
& sdtmndtasgtdt0(W1,xR,W3)
& ( ( sdtmndtplgtdt0(W1,xR,W3)
& ( ? [W4] :
( sdtmndtplgtdt0(W4,xR,W3)
& aReductOfIn0(W4,W1,xR)
& aElement0(W4) )
| aReductOfIn0(W3,W1,xR) ) )
| W1 = W3 )
& aElement0(W3) )
| ~ aReductOfIn0(W2,W0,xR)
| ~ aReductOfIn0(W1,W0,xR)
| ~ aElement0(W2)
| ~ aElement0(W1)
| ~ aElement0(W0) ) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f100,plain,
( isTerminating0(xR)
& ! [W0,W1] :
( iLess0(W1,W0)
| ( ~ sdtmndtplgtdt0(W0,xR,W1)
& ! [W2] :
( ~ sdtmndtplgtdt0(W2,xR,W1)
| ~ aReductOfIn0(W2,W0,xR)
| ~ aElement0(W2) )
& ~ aReductOfIn0(W1,W0,xR) )
| ~ aElement0(W1)
| ~ aElement0(W0) )
& isLocallyConfluent0(xR)
& ! [W1,W2] :
( ? [W3] :
( sdtmndtasgtdt0(W2,xR,W3)
& ( ( sdtmndtplgtdt0(W2,xR,W3)
& ( ? [W4] :
( sdtmndtplgtdt0(W4,xR,W3)
& aReductOfIn0(W4,W2,xR)
& aElement0(W4) )
| aReductOfIn0(W3,W2,xR) ) )
| W2 = W3 )
& sdtmndtasgtdt0(W1,xR,W3)
& ( ( sdtmndtplgtdt0(W1,xR,W3)
& ( ? [W4] :
( sdtmndtplgtdt0(W4,xR,W3)
& aReductOfIn0(W4,W1,xR)
& aElement0(W4) )
| aReductOfIn0(W3,W1,xR) ) )
| W1 = W3 )
& aElement0(W3) )
| ! [W0] :
( ~ aReductOfIn0(W2,W0,xR)
| ~ aReductOfIn0(W1,W0,xR)
| ~ aElement0(W2)
| ~ aElement0(W1)
| ~ aElement0(W0) ) ) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f101,plain,
( isTerminating0(xR)
& ! [W0,W1] :
( iLess0(W1,W0)
| ( ~ sdtmndtplgtdt0(W0,xR,W1)
& ! [W2] :
( ~ sdtmndtplgtdt0(W2,xR,W1)
| ~ aReductOfIn0(W2,W0,xR)
| ~ aElement0(W2) )
& ~ aReductOfIn0(W1,W0,xR) )
| ~ aElement0(W1)
| ~ aElement0(W0) )
& isLocallyConfluent0(xR)
& ! [W1,W2] :
( ( sdtmndtasgtdt0(W2,xR,sK13_skl(W2,W1))
& ( ( sdtmndtplgtdt0(W2,xR,sK13_skl(W2,W1))
& ( ( sdtmndtplgtdt0(sK15_skl(W2,W1),xR,sK13_skl(W2,W1))
& aReductOfIn0(sK15_skl(W2,W1),W2,xR)
& aElement0(sK15_skl(W2,W1)) )
| aReductOfIn0(sK13_skl(W2,W1),W2,xR) ) )
| W2 = sK13_skl(W2,W1) )
& sdtmndtasgtdt0(W1,xR,sK13_skl(W2,W1))
& ( ( sdtmndtplgtdt0(W1,xR,sK13_skl(W2,W1))
& ( ( sdtmndtplgtdt0(sK14_skl(W2,W1),xR,sK13_skl(W2,W1))
& aReductOfIn0(sK14_skl(W2,W1),W1,xR)
& aElement0(sK14_skl(W2,W1)) )
| aReductOfIn0(sK13_skl(W2,W1),W1,xR) ) )
| W1 = sK13_skl(W2,W1) )
& aElement0(sK13_skl(W2,W1)) )
| ! [W0] :
( ~ aReductOfIn0(W2,W0,xR)
| ~ aReductOfIn0(W1,W0,xR)
| ~ aElement0(W2)
| ~ aElement0(W1)
| ~ aElement0(W0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl]),skolemize(W3,sK13_skl(W2,W1)),skolemize(W4,sK14_skl(W2,W1)),skolemize(W4,sK15_skl(W2,W1))],[f100]) ).
fof(f102,plain,
! [X0,X1,X2] :
( aElement0(sK13_skl(X2,X1))
| ~ aReductOfIn0(X2,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f107,plain,
! [X0,X1,X2] :
( sdtmndtasgtdt0(X1,xR,sK13_skl(X2,X1))
| ~ aReductOfIn0(X2,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f112,plain,
! [X0,X1,X2] :
( sdtmndtasgtdt0(X2,xR,sK13_skl(X2,X1))
| ~ aReductOfIn0(X2,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f118,plain,
aElement0(xa),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f189,plain,
( sdtmndtasgtdt0(xu,xR,xb)
& ( ( sdtmndtplgtdt0(xu,xR,xb)
& ( ( sdtmndtplgtdt0(sK21_skl,xR,xb)
& aReductOfIn0(sK21_skl,xu,xR)
& aElement0(sK21_skl) )
| aReductOfIn0(xb,xu,xR) ) )
| xu = xb )
& aReductOfIn0(xu,xa,xR)
& aElement0(xu) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl]),skolemize(W0,sK21_skl)],[f20]) ).
fof(f190,plain,
aElement0(xu),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f197,plain,
( sdtmndtasgtdt0(xv,xR,xc)
& ( ( sdtmndtplgtdt0(xv,xR,xc)
& ( ( sdtmndtplgtdt0(sK22_skl,xR,xc)
& aReductOfIn0(sK22_skl,xv,xR)
& aElement0(sK22_skl) )
| aReductOfIn0(xc,xv,xR) ) )
| xv = xc )
& aReductOfIn0(xv,xa,xR)
& aElement0(xv) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl]),skolemize(W0,sK22_skl)],[f21]) ).
fof(f198,plain,
aElement0(xv),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
aReductOfIn0(xv,xa,xR),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f205,plain,
! [W0] :
( ( ~ sdtmndtasgtdt0(xv,xR,W0)
& ~ sdtmndtplgtdt0(xv,xR,W0)
& ! [W1] :
( ~ sdtmndtplgtdt0(W1,xR,W0)
| ~ aReductOfIn0(W1,xv,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(W0,xv,xR)
& xv != W0 )
| ( ~ sdtmndtasgtdt0(xu,xR,W0)
& ~ sdtmndtplgtdt0(xu,xR,W0)
& ! [W1] :
( ~ sdtmndtplgtdt0(W1,xR,W0)
| ~ aReductOfIn0(W1,xu,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(W0,xu,xR)
& xu != W0 )
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f206,definition,
! [W0] :
( sP1_prd(W0)
<=> ( ~ sdtmndtasgtdt0(xu,xR,W0)
& ~ sdtmndtplgtdt0(xu,xR,W0)
& ! [W1] :
( ~ sdtmndtplgtdt0(W1,xR,W0)
| ~ aReductOfIn0(W1,xu,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(W0,xu,xR)
& xu != W0 ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f207,plain,
! [W0] :
( ( ~ sdtmndtasgtdt0(xv,xR,W0)
& ~ sdtmndtplgtdt0(xv,xR,W0)
& ! [W1] :
( ~ sdtmndtplgtdt0(W1,xR,W0)
| ~ aReductOfIn0(W1,xv,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(W0,xv,xR)
& xv != W0 )
| sP1_prd(W0)
| ~ aElement0(W0) ),
inference(formula_renaming,[status(thm)],[f205,f206]) ).
fof(f212,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xv,xR,X0)
| sP1_prd(X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f224,plain,
! [W0] :
( ( sdtmndtasgtdt0(xu,xR,W0)
| sdtmndtplgtdt0(xu,xR,W0)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,W0)
& aReductOfIn0(W1,xu,xR)
& aElement0(W1) )
| aReductOfIn0(W0,xu,xR)
| xu = W0
| sP1_prd(W0) )
& ( ( ~ sdtmndtasgtdt0(xu,xR,W0)
& ~ sdtmndtplgtdt0(xu,xR,W0)
& ! [W1] :
( ~ sdtmndtplgtdt0(W1,xR,W0)
| ~ aReductOfIn0(W1,xu,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(W0,xu,xR)
& xu != W0 )
| ~ sP1_prd(W0) ) ),
inference(NNF_transformation,[status(thm)],[f206]) ).
fof(f225,plain,
( ! [W0] :
( sdtmndtasgtdt0(xu,xR,W0)
| sdtmndtplgtdt0(xu,xR,W0)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,W0)
& aReductOfIn0(W1,xu,xR)
& aElement0(W1) )
| aReductOfIn0(W0,xu,xR)
| xu = W0
| sP1_prd(W0) )
& ! [W0] :
( ( ~ sdtmndtasgtdt0(xu,xR,W0)
& ~ sdtmndtplgtdt0(xu,xR,W0)
& ! [W1] :
( ~ sdtmndtplgtdt0(W1,xR,W0)
| ~ aReductOfIn0(W1,xu,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(W0,xu,xR)
& xu != W0 )
| ~ sP1_prd(W0) ) ),
inference(miniscoping,[status(thm)],[f224]) ).
fof(f226,plain,
( ! [W0] :
( sdtmndtasgtdt0(xu,xR,W0)
| sdtmndtplgtdt0(xu,xR,W0)
| ( sdtmndtplgtdt0(sK24_skl(W0),xR,W0)
& aReductOfIn0(sK24_skl(W0),xu,xR)
& aElement0(sK24_skl(W0)) )
| aReductOfIn0(W0,xu,xR)
| xu = W0
| sP1_prd(W0) )
& ! [W0] :
( ( ~ sdtmndtasgtdt0(xu,xR,W0)
& ~ sdtmndtplgtdt0(xu,xR,W0)
& ! [W1] :
( ~ sdtmndtplgtdt0(W1,xR,W0)
| ~ aReductOfIn0(W1,xu,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(W0,xu,xR)
& xu != W0 )
| ~ sP1_prd(W0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl]),skolemize(W1,sK24_skl(W0))],[f225]) ).
fof(f231,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f379,plain,
! [X0,X1] :
( sP1_prd(sK13_skl(X1,xv))
| ~ aElement0(sK13_skl(X1,xv))
| ~ aReductOfIn0(X1,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(X1)
| ~ aElement0(xv)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f107,f212]) ).
fof(f382,plain,
! [X0,X1] :
( sP1_prd(sK13_skl(X1,xv))
| ~ aElement0(sK13_skl(X1,xv))
| ~ aReductOfIn0(X1,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f379,f198]) ).
fof(f385,plain,
! [X0,X1] :
( ~ sP1_prd(sK13_skl(xu,X1))
| ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(xu)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f112,f231]) ).
fof(f388,plain,
! [X0,X1] :
( ~ sP1_prd(sK13_skl(xu,X1))
| ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f385,f190]) ).
fof(f389,plain,
! [X0] :
( ~ sP1_prd(sK13_skl(xu,X0))
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0)
| ~ aElement0(xa) ),
inference(resolution,[status(thm)],[f388,f191]) ).
fof(f390,plain,
! [X0] :
( ~ sP1_prd(sK13_skl(xu,X0))
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f118]) ).
fof(f401,plain,
! [X0] :
( ~ aReductOfIn0(xv,xa,xR)
| ~ aElement0(xv)
| ~ aElement0(sK13_skl(xu,xv))
| ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(xu)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f382,f390]) ).
fof(f402,plain,
! [X0] :
( ~ aReductOfIn0(xv,xa,xR)
| ~ aElement0(xv)
| ~ aElement0(sK13_skl(xu,xv))
| ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f401,f190]) ).
fof(f474,plain,
! [X0] :
( ~ aElement0(xv)
| ~ aElement0(sK13_skl(xu,xv))
| ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f402,f199]) ).
fof(f475,plain,
! [X0] :
( ~ aElement0(sK13_skl(xu,xv))
| ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f474,f198]) ).
fof(f476,plain,
( ~ aElement0(sK13_skl(xu,xv))
| ~ aReductOfIn0(xu,xa,xR)
| ~ aElement0(xa) ),
inference(resolution,[status(thm)],[f475,f199]) ).
fof(f477,plain,
( ~ aElement0(sK13_skl(xu,xv))
| ~ aReductOfIn0(xu,xa,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[f476,f118]) ).
fof(f481,plain,
~ aElement0(sK13_skl(xu,xv)),
inference(resolution,[status(thm)],[f477,f191]) ).
fof(f482,plain,
! [X0] :
( ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(xu)
| ~ aElement0(xv)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f481,f102]) ).
fof(f485,plain,
! [X0] :
( ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(xu)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f198]) ).
fof(f572,plain,
( ~ aReductOfIn0(xu,xa,xR)
| ~ aElement0(xu)
| ~ aElement0(xa) ),
inference(resolution,[status(thm)],[f485,f199]) ).
fof(f573,plain,
( ~ aReductOfIn0(xu,xa,xR)
| ~ aElement0(xu) ),
inference(forward_subsumption_resolution,[status(thm)],[f572,f118]) ).
fof(f574,plain,
~ aElement0(xu),
inference(resolution,[status(thm)],[f573,f191]) ).
fof(f575,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f574,f190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM017+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:14:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 1.16/0.67 % Refutation found
% 1.16/0.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.16/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.16/0.70 % Elapsed time: 0.318292 seconds
% 1.16/0.70 % CPU time: 2.186327 seconds
% 1.16/0.70 % Total memory used: 114.742 MB
% 1.16/0.70 % Net memory used: 112.001 MB
%------------------------------------------------------------------------------