%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM020+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 : n007.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 0.16s 0.66s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 91 ( 22 unt; 3 def)
% Number of atoms : 378 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 499 ( 212 ~; 207 |; 63 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 130 ( 118 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [W0,W1] :
( ( aRewritingSystem0(W1)
& aElement0(W0) )
=> ! [W2] :
( aReductOfIn0(W2,W0,W1)
=> aElement0(W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,definition,
! [W0,W1,W2] :
( ( aElement0(W2)
& aRewritingSystem0(W1)
& aElement0(W0) )
=> ( sdtmndtplgtdt0(W0,W1,W2)
<=> ( ? [W3] :
( sdtmndtplgtdt0(W3,W1,W2)
& aReductOfIn0(W3,W0,W1)
& aElement0(W3) )
| aReductOfIn0(W2,W0,W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [W0,W1,W2,W3] :
( ( aElement0(W3)
& aElement0(W2)
& aRewritingSystem0(W1)
& aElement0(W0) )
=> ( ( sdtmndtasgtdt0(W2,W1,W3)
& sdtmndtasgtdt0(W0,W1,W2) )
=> sdtmndtasgtdt0(W0,W1,W3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,definition,
! [W0] :
( aRewritingSystem0(W0)
=> ( isTerminating0(W0)
<=> ! [W1,W2] :
( ( aElement0(W2)
& aElement0(W1) )
=> ( sdtmndtplgtdt0(W1,W0,W2)
=> iLess0(W2,W1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,definition,
! [W0,W1] :
( ( aRewritingSystem0(W1)
& aElement0(W0) )
=> ! [W2] :
( aNormalFormOfIn0(W2,W0,W1)
<=> ( ~ ? [W3] : aReductOfIn0(W3,W2,W1)
& sdtmndtasgtdt0(W0,W1,W2)
& aElement0(W2) ) ) ),
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,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
! [W0,W1,W2] :
( ( sdtmndtasgtdt0(W0,xR,W2)
& sdtmndtasgtdt0(W0,xR,W1)
& aElement0(W2)
& aElement0(W1)
& aElement0(W0) )
=> ( iLess0(W0,xa)
=> ? [W3] :
( sdtmndtasgtdt0(W2,xR,W3)
& sdtmndtasgtdt0(W1,xR,W3)
& aElement0(W3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
( sdtmndtasgtdt0(xu,xR,xb)
& aReductOfIn0(xu,xa,xR)
& aElement0(xu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
( sdtmndtasgtdt0(xv,xR,xw)
& sdtmndtasgtdt0(xu,xR,xw)
& aElement0(xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,conjecture,
? [W0] :
( sdtmndtasgtdt0(xd,xR,W0)
& sdtmndtasgtdt0(xb,xR,W0)
& aElement0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
~ ? [W0] :
( sdtmndtasgtdt0(xd,xR,W0)
& sdtmndtasgtdt0(xb,xR,W0)
& aElement0(W0) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f32,plain,
! [W0,W1] :
( ! [W2] :
( aElement0(W2)
| ~ aReductOfIn0(W2,W0,W1) )
| ~ aRewritingSystem0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f33,plain,
! [X0,X1,X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f38,plain,
! [W0,W1,W2] :
( ( sdtmndtplgtdt0(W0,W1,W2)
<=> ( ? [W3] :
( sdtmndtplgtdt0(W3,W1,W2)
& aReductOfIn0(W3,W0,W1)
& aElement0(W3) )
| aReductOfIn0(W2,W0,W1) ) )
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f39,plain,
! [W0,W1,W2] :
( ( ( ( ! [W3] :
( ~ sdtmndtplgtdt0(W3,W1,W2)
| ~ aReductOfIn0(W3,W0,W1)
| ~ aElement0(W3) )
& ~ aReductOfIn0(W2,W0,W1) )
| sdtmndtplgtdt0(W0,W1,W2) )
& ( ? [W3] :
( sdtmndtplgtdt0(W3,W1,W2)
& aReductOfIn0(W3,W0,W1)
& aElement0(W3) )
| aReductOfIn0(W2,W0,W1)
| ~ sdtmndtplgtdt0(W0,W1,W2) ) )
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ aElement0(W0) ),
inference(NNF_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [W0,W1,W2] :
( ( ( ( ! [W3] :
( ~ sdtmndtplgtdt0(W3,W1,W2)
| ~ aReductOfIn0(W3,W0,W1)
| ~ aElement0(W3) )
& ~ aReductOfIn0(W2,W0,W1) )
| sdtmndtplgtdt0(W0,W1,W2) )
& ( ( sdtmndtplgtdt0(sK0_skl(W2,W1,W0),W1,W2)
& aReductOfIn0(sK0_skl(W2,W1,W0),W0,W1)
& aElement0(sK0_skl(W2,W1,W0)) )
| aReductOfIn0(W2,W0,W1)
| ~ sdtmndtplgtdt0(W0,W1,W2) ) )
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ aElement0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W3,sK0_skl(W2,W1,W0))],[f39]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ aReductOfIn0(X2,X0,X1)
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f53,plain,
! [W0,W1,W2,W3] :
( sdtmndtasgtdt0(W0,W1,W3)
| ~ sdtmndtasgtdt0(W2,W1,W3)
| ~ sdtmndtasgtdt0(W0,W1,W2)
| ~ aElement0(W3)
| ~ aElement0(W2)
| ~ aRewritingSystem0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f81,plain,
! [W0] :
( ( isTerminating0(W0)
<=> ! [W1,W2] :
( iLess0(W2,W1)
| ~ sdtmndtplgtdt0(W1,W0,W2)
| ~ aElement0(W2)
| ~ aElement0(W1) ) )
| ~ aRewritingSystem0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f82,plain,
! [W0] :
( ( ( ? [W1,W2] :
( ~ iLess0(W2,W1)
& sdtmndtplgtdt0(W1,W0,W2)
& aElement0(W2)
& aElement0(W1) )
| isTerminating0(W0) )
& ( ! [W1,W2] :
( iLess0(W2,W1)
| ~ sdtmndtplgtdt0(W1,W0,W2)
| ~ aElement0(W2)
| ~ aElement0(W1) )
| ~ isTerminating0(W0) ) )
| ~ aRewritingSystem0(W0) ),
inference(NNF_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
! [W0] :
( ( ( ( ~ iLess0(sK10_skl(W0),sK9_skl(W0))
& sdtmndtplgtdt0(sK9_skl(W0),W0,sK10_skl(W0))
& aElement0(sK10_skl(W0))
& aElement0(sK9_skl(W0)) )
| isTerminating0(W0) )
& ( ! [W1,W2] :
( iLess0(W2,W1)
| ~ sdtmndtplgtdt0(W1,W0,W2)
| ~ aElement0(W2)
| ~ aElement0(W1) )
| ~ isTerminating0(W0) ) )
| ~ aRewritingSystem0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl]),skolemize(W1,sK9_skl(W0)),skolemize(W2,sK10_skl(W0))],[f82]) ).
fof(f84,plain,
! [X0,X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f89,plain,
! [W0,W1] :
( ! [W2] :
( aNormalFormOfIn0(W2,W0,W1)
<=> ( ! [W3] : ~ aReductOfIn0(W3,W2,W1)
& sdtmndtasgtdt0(W0,W1,W2)
& aElement0(W2) ) )
| ~ aRewritingSystem0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f90,plain,
! [W0,W1] :
( ! [W2] :
( ( ? [W3] : aReductOfIn0(W3,W2,W1)
| ~ sdtmndtasgtdt0(W0,W1,W2)
| ~ aElement0(W2)
| aNormalFormOfIn0(W2,W0,W1) )
& ( ( ! [W3] : ~ aReductOfIn0(W3,W2,W1)
& sdtmndtasgtdt0(W0,W1,W2)
& aElement0(W2) )
| ~ aNormalFormOfIn0(W2,W0,W1) ) )
| ~ aRewritingSystem0(W1)
| ~ aElement0(W0) ),
inference(NNF_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [W0,W1] :
( ( ! [W2] :
( ? [W3] : aReductOfIn0(W3,W2,W1)
| ~ sdtmndtasgtdt0(W0,W1,W2)
| ~ aElement0(W2)
| aNormalFormOfIn0(W2,W0,W1) )
& ! [W2] :
( ( ! [W3] : ~ aReductOfIn0(W3,W2,W1)
& sdtmndtasgtdt0(W0,W1,W2)
& aElement0(W2) )
| ~ aNormalFormOfIn0(W2,W0,W1) ) )
| ~ aRewritingSystem0(W1)
| ~ aElement0(W0) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f92,plain,
! [W0,W1] :
( ( ! [W2] :
( aReductOfIn0(sK11_skl(W2,W1,W0),W2,W1)
| ~ sdtmndtasgtdt0(W0,W1,W2)
| ~ aElement0(W2)
| aNormalFormOfIn0(W2,W0,W1) )
& ! [W2] :
( ( ! [W3] : ~ aReductOfIn0(W3,W2,W1)
& sdtmndtasgtdt0(W0,W1,W2)
& aElement0(W2) )
| ~ aNormalFormOfIn0(W2,W0,W1) ) )
| ~ aRewritingSystem0(W1)
| ~ aElement0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(W3,sK11_skl(W2,W1,W0))],[f91]) ).
fof(f93,plain,
! [X0,X1,X2] :
( aElement0(X2)
| ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f94,plain,
! [X0,X1,X2] :
( sdtmndtasgtdt0(X0,X1,X2)
| ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f100,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f102,plain,
isTerminating0(xR),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f103,plain,
aElement0(xa),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f104,plain,
aElement0(xb),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f106,plain,
! [W0,W1,W2] :
( ? [W3] :
( sdtmndtasgtdt0(W2,xR,W3)
& sdtmndtasgtdt0(W1,xR,W3)
& aElement0(W3) )
| ~ iLess0(W0,xa)
| ~ sdtmndtasgtdt0(W0,xR,W2)
| ~ sdtmndtasgtdt0(W0,xR,W1)
| ~ aElement0(W2)
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f107,plain,
! [W0,W1,W2] :
( ( sdtmndtasgtdt0(W2,xR,sK13_skl(W2,W1,W0))
& sdtmndtasgtdt0(W1,xR,sK13_skl(W2,W1,W0))
& aElement0(sK13_skl(W2,W1,W0)) )
| ~ iLess0(W0,xa)
| ~ 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,W0))],[f106]) ).
fof(f108,plain,
! [X0,X1,X2] :
( aElement0(sK13_skl(X2,X1,X0))
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( sdtmndtasgtdt0(X1,xR,sK13_skl(X2,X1,X0))
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f110,plain,
! [X0,X1,X2] :
( sdtmndtasgtdt0(X2,xR,sK13_skl(X2,X1,X0))
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f113,plain,
aElement0(xu),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f114,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f115,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f119,plain,
aElement0(xw),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f120,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f122,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f123,plain,
! [W0] :
( ~ sdtmndtasgtdt0(xd,xR,W0)
| ~ sdtmndtasgtdt0(xb,xR,W0)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f124,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xd,xR,X0)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ~ aReductOfIn0(X2,X0,X1)
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f44,f33]) ).
fof(f234,plain,
( sdtmndtplgtdt0(xa,xR,xu)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa) ),
inference(resolution,[status(thm)],[f114,f138]) ).
fof(f236,plain,
( sdtmndtplgtdt0(xa,xR,xu)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[status(thm)],[f234,f103]) ).
fof(f443,plain,
sdtmndtplgtdt0(xa,xR,xu),
inference(forward_subsumption_resolution,[status(thm)],[f236,f100]) ).
fof(f444,plain,
( iLess0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(xa)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[status(thm)],[f443,f84]) ).
fof(f451,plain,
( iLess0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(xa)
| ~ isTerminating0(xR) ),
inference(forward_subsumption_resolution,[status(thm)],[f444,f100]) ).
fof(f467,plain,
( aElement0(xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw) ),
inference(resolution,[status(thm)],[f93,f122]) ).
fof(f468,plain,
( aElement0(xd)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[status(thm)],[f467,f119]) ).
fof(f469,plain,
( sdtmndtasgtdt0(xw,xR,xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw) ),
inference(resolution,[status(thm)],[f94,f122]) ).
fof(f470,plain,
( sdtmndtasgtdt0(xw,xR,xd)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[status(thm)],[f469,f119]) ).
fof(f519,plain,
! [X0] :
( aElement0(sK13_skl(X0,xb,xu))
| ~ iLess0(xu,xa)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(xb)
| ~ aElement0(xu) ),
inference(resolution,[status(thm)],[f108,f115]) ).
fof(f538,plain,
! [X0] :
( aElement0(sK13_skl(X0,xb,xu))
| ~ iLess0(xu,xa)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(xb) ),
inference(forward_subsumption_resolution,[status(thm)],[f519,f113]) ).
fof(f551,plain,
! [X0] :
( sdtmndtasgtdt0(xb,xR,sK13_skl(X0,xb,xu))
| ~ iLess0(xu,xa)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(xb)
| ~ aElement0(xu) ),
inference(resolution,[status(thm)],[f109,f115]) ).
fof(f570,plain,
! [X0] :
( sdtmndtasgtdt0(xb,xR,sK13_skl(X0,xb,xu))
| ~ iLess0(xu,xa)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(xb) ),
inference(forward_subsumption_resolution,[status(thm)],[f551,f113]) ).
fof(f571,plain,
aElement0(xd),
inference(forward_subsumption_resolution,[status(thm)],[f468,f100]) ).
fof(f627,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference(forward_subsumption_resolution,[status(thm)],[f470,f100]) ).
fof(f635,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,xd)
| ~ sdtmndtasgtdt0(X0,xR,xw)
| ~ aElement0(xd)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f627,f54]) ).
fof(f642,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,xd)
| ~ sdtmndtasgtdt0(X0,xR,xw)
| ~ aElement0(xd)
| ~ aElement0(xw)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f635,f100]) ).
fof(f657,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,sK13_skl(X0,xb,xu))
| ~ iLess0(xu,xa)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(xb)
| ~ aElement0(xu) ),
inference(resolution,[status(thm)],[f110,f115]) ).
fof(f679,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,sK13_skl(X0,xb,xu))
| ~ iLess0(xu,xa)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(xb) ),
inference(forward_subsumption_resolution,[status(thm)],[f657,f113]) ).
fof(f787,plain,
! [X0] :
( aElement0(sK13_skl(X0,xb,xu))
| ~ iLess0(xu,xa)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f104]) ).
fof(f794,plain,
! [X0] :
( sdtmndtasgtdt0(xb,xR,sK13_skl(X0,xb,xu))
| ~ iLess0(xu,xa)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f570,f104]) ).
fof(f813,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,sK13_skl(X0,xb,xu))
| ~ iLess0(xu,xa)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f679,f104]) ).
fof(f1009,plain,
( iLess0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(xa) ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f102]) ).
fof(f1010,plain,
( iLess0(xu,xa)
| ~ aElement0(xa) ),
inference(resolution,[status(thm)],[f1009,f113]) ).
fof(f1011,plain,
iLess0(xu,xa),
inference(forward_subsumption_resolution,[status(thm)],[f1010,f103]) ).
fof(f1015,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,sK13_skl(X0,xb,xu))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f813,f1011]) ).
fof(f1016,plain,
! [X0] :
( sdtmndtasgtdt0(xb,xR,sK13_skl(X0,xb,xu))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f794,f1011]) ).
fof(f1017,plain,
! [X0] :
( aElement0(sK13_skl(X0,xb,xu))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f787,f1011]) ).
fof(f1518,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,xd)
| ~ sdtmndtasgtdt0(X0,xR,xw)
| ~ aElement0(xd)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f642,f119]) ).
fof(f1522,plain,
( sdtmndtasgtdt0(xu,xR,xd)
| ~ aElement0(xd)
| ~ aElement0(xu) ),
inference(resolution,[status(thm)],[f1518,f120]) ).
fof(f1525,plain,
( sdtmndtasgtdt0(xu,xR,xd)
| ~ aElement0(xd) ),
inference(forward_subsumption_resolution,[status(thm)],[f1522,f113]) ).
fof(f1664,plain,
sdtmndtasgtdt0(xu,xR,xd),
inference(forward_subsumption_resolution,[status(thm)],[f1525,f571]) ).
fof(f1665,plain,
( aElement0(sK13_skl(xd,xb,xu))
| ~ aElement0(xd) ),
inference(resolution,[status(thm)],[f1664,f1017]) ).
fof(f1666,plain,
( sdtmndtasgtdt0(xb,xR,sK13_skl(xd,xb,xu))
| ~ aElement0(xd) ),
inference(resolution,[status(thm)],[f1664,f1016]) ).
fof(f1667,plain,
( sdtmndtasgtdt0(xd,xR,sK13_skl(xd,xb,xu))
| ~ aElement0(xd) ),
inference(resolution,[status(thm)],[f1664,f1015]) ).
fof(f1686,plain,
aElement0(sK13_skl(xd,xb,xu)),
inference(forward_subsumption_resolution,[status(thm)],[f1665,f571]) ).
fof(f1687,plain,
sdtmndtasgtdt0(xb,xR,sK13_skl(xd,xb,xu)),
inference(forward_subsumption_resolution,[status(thm)],[f1666,f571]) ).
fof(f1688,plain,
sdtmndtasgtdt0(xd,xR,sK13_skl(xd,xb,xu)),
inference(forward_subsumption_resolution,[status(thm)],[f1667,f571]) ).
fof(f2610,plain,
( ~ sdtmndtasgtdt0(xb,xR,sK13_skl(xd,xb,xu))
| ~ aElement0(sK13_skl(xd,xb,xu)) ),
inference(resolution,[status(thm)],[f1688,f124]) ).
fof(f2620,plain,
~ sdtmndtasgtdt0(xb,xR,sK13_skl(xd,xb,xu)),
inference(forward_subsumption_resolution,[status(thm)],[f2610,f1686]) ).
fof(f2745,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2620,f1687]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COM020+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n007.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 14:12:51 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.66 % Refutation found
% 0.16/0.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.70 % Elapsed time: 0.251421 seconds
% 0.16/0.70 % CPU time: 1.527253 seconds
% 0.16/0.70 % Total memory used: 98.388 MB
% 0.16/0.70 % Net memory used: 96.948 MB
%------------------------------------------------------------------------------