TSTP Solution File: COM022+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM022+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:14:04 EDT 2024
% Result : Theorem 0.16s 0.37s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 94 ( 11 unt; 2 def)
% Number of atoms : 347 ( 15 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 398 ( 145 ~; 148 |; 78 &)
% ( 19 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 16 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-3 aty)
% Number of variables : 75 ( 58 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,definition,
! [W0,W1,W2] :
( ( aElement0(W0)
& aRewritingSystem0(W1)
& aElement0(W2) )
=> ( sdtmndtasgtdt0(W0,W1,W2)
<=> ( W0 = W2
| sdtmndtplgtdt0(W0,W1,W2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,definition,
! [W0,W1] :
( ( aElement0(W0)
& aRewritingSystem0(W1) )
=> ! [W2] :
( aNormalFormOfIn0(W2,W0,W1)
<=> ( aElement0(W2)
& sdtmndtasgtdt0(W0,W1,W2)
& ~ ? [W3] : aReductOfIn0(W3,W2,W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
( ( ( sdtmndtplgtdt0(xa,xR,xb)
& sdtmndtplgtdt0(xa,xR,xc) )
=> ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xa,xR)
& sdtmndtasgtdt0(W0,xR,xb)
& ? [W1] :
( aElement0(W1)
& aReductOfIn0(W1,xa,xR)
& sdtmndtasgtdt0(W1,xR,xc)
& ? [W2] :
( aElement0(W2)
& sdtmndtasgtdt0(W0,xR,W2)
& sdtmndtasgtdt0(W1,xR,W2)
& ? [W3] :
( aNormalFormOfIn0(W3,W2,xR)
& sdtmndtasgtdt0(xb,xR,W3)
& sdtmndtasgtdt0(xc,xR,W3) ) ) ) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xb)
& sdtmndtasgtdt0(xa,xR,xc) )
=> ? [W0] :
( aElement0(W0)
& sdtmndtasgtdt0(xb,xR,W0)
& sdtmndtasgtdt0(xc,xR,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ( ( ( sdtmndtplgtdt0(xa,xR,xb)
& sdtmndtplgtdt0(xa,xR,xc) )
=> ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xa,xR)
& sdtmndtasgtdt0(W0,xR,xb)
& ? [W1] :
( aElement0(W1)
& aReductOfIn0(W1,xa,xR)
& sdtmndtasgtdt0(W1,xR,xc)
& ? [W2] :
( aElement0(W2)
& sdtmndtasgtdt0(W0,xR,W2)
& sdtmndtasgtdt0(W1,xR,W2)
& ? [W3] :
( aNormalFormOfIn0(W3,W2,xR)
& sdtmndtasgtdt0(xb,xR,W3)
& sdtmndtasgtdt0(xc,xR,W3) ) ) ) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xb)
& sdtmndtasgtdt0(xa,xR,xc) )
=> ? [W0] :
( aElement0(W0)
& sdtmndtasgtdt0(xb,xR,W0)
& sdtmndtasgtdt0(xc,xR,W0) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f43,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aRewritingSystem0(W1)
| ~ aElement0(W2)
| ( sdtmndtasgtdt0(W0,W1,W2)
<=> ( W0 = W2
| sdtmndtplgtdt0(W0,W1,W2) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f44,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aRewritingSystem0(W1)
| ~ aElement0(W2)
| ( ( ~ sdtmndtasgtdt0(W0,W1,W2)
| W0 = W2
| sdtmndtplgtdt0(W0,W1,W2) )
& ( sdtmndtasgtdt0(W0,W1,W2)
| ( W0 != W2
& ~ sdtmndtplgtdt0(W0,W1,W2) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f43]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X0,X1,X2)
| X0 != X2 ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X0,X1,X2)
| ~ sdtmndtplgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f84,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aRewritingSystem0(W1)
| ! [W2] :
( aNormalFormOfIn0(W2,W0,W1)
<=> ( aElement0(W2)
& sdtmndtasgtdt0(W0,W1,W2)
& ! [W3] : ~ aReductOfIn0(W3,W2,W1) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f85,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aRewritingSystem0(W1)
| ! [W2] :
( ( ~ aNormalFormOfIn0(W2,W0,W1)
| ( aElement0(W2)
& sdtmndtasgtdt0(W0,W1,W2)
& ! [W3] : ~ aReductOfIn0(W3,W2,W1) ) )
& ( aNormalFormOfIn0(W2,W0,W1)
| ~ aElement0(W2)
| ~ sdtmndtasgtdt0(W0,W1,W2)
| ? [W3] : aReductOfIn0(W3,W2,W1) ) ) ),
inference(NNF_transformation,[status(esa)],[f84]) ).
fof(f86,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aRewritingSystem0(W1)
| ( ! [W2] :
( ~ aNormalFormOfIn0(W2,W0,W1)
| ( aElement0(W2)
& sdtmndtasgtdt0(W0,W1,W2)
& ! [W3] : ~ aReductOfIn0(W3,W2,W1) ) )
& ! [W2] :
( aNormalFormOfIn0(W2,W0,W1)
| ~ aElement0(W2)
| ~ sdtmndtasgtdt0(W0,W1,W2)
| ? [W3] : aReductOfIn0(W3,W2,W1) ) ) ),
inference(miniscoping,[status(esa)],[f85]) ).
fof(f87,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aRewritingSystem0(W1)
| ( ! [W2] :
( ~ aNormalFormOfIn0(W2,W0,W1)
| ( aElement0(W2)
& sdtmndtasgtdt0(W0,W1,W2)
& ! [W3] : ~ aReductOfIn0(W3,W2,W1) ) )
& ! [W2] :
( aNormalFormOfIn0(W2,W0,W1)
| ~ aElement0(W2)
| ~ sdtmndtasgtdt0(W0,W1,W2)
| aReductOfIn0(sk0_11(W2,W1,W0),W2,W1) ) ) ),
inference(skolemization,[status(esa)],[f86]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aNormalFormOfIn0(X2,X0,X1)
| aElement0(X2) ),
inference(cnf_transformation,[status(esa)],[f87]) ).
fof(f95,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f98,plain,
aElement0(xa),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f99,plain,
aElement0(xb),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f100,plain,
aElement0(xc),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f106,plain,
( ( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ? [W0] :
( aElement0(W0)
& aReductOfIn0(W0,xa,xR)
& sdtmndtasgtdt0(W0,xR,xb)
& ? [W1] :
( aElement0(W1)
& aReductOfIn0(W1,xa,xR)
& sdtmndtasgtdt0(W1,xR,xc)
& ? [W2] :
( aElement0(W2)
& sdtmndtasgtdt0(W0,xR,W2)
& sdtmndtasgtdt0(W1,xR,W2)
& ? [W3] :
( aNormalFormOfIn0(W3,W2,xR)
& sdtmndtasgtdt0(xb,xR,W3)
& sdtmndtasgtdt0(xc,xR,W3) ) ) ) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& sdtmndtasgtdt0(xa,xR,xc)
& ! [W0] :
( ~ aElement0(W0)
| ~ sdtmndtasgtdt0(xb,xR,W0)
| ~ sdtmndtasgtdt0(xc,xR,W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f107,plain,
( ( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ( aElement0(sk0_14)
& aReductOfIn0(sk0_14,xa,xR)
& sdtmndtasgtdt0(sk0_14,xR,xb)
& aElement0(sk0_15)
& aReductOfIn0(sk0_15,xa,xR)
& sdtmndtasgtdt0(sk0_15,xR,xc)
& aElement0(sk0_16)
& sdtmndtasgtdt0(sk0_14,xR,sk0_16)
& sdtmndtasgtdt0(sk0_15,xR,sk0_16)
& aNormalFormOfIn0(sk0_17,sk0_16,xR)
& sdtmndtasgtdt0(xb,xR,sk0_17)
& sdtmndtasgtdt0(xc,xR,sk0_17) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& sdtmndtasgtdt0(xa,xR,xc)
& ! [W0] :
( ~ aElement0(W0)
| ~ sdtmndtasgtdt0(xb,xR,W0)
| ~ sdtmndtasgtdt0(xc,xR,W0) ) ),
inference(skolemization,[status(esa)],[f106]) ).
fof(f114,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| aElement0(sk0_16) ),
inference(cnf_transformation,[status(esa)],[f107]) ).
fof(f117,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| aNormalFormOfIn0(sk0_17,sk0_16,xR) ),
inference(cnf_transformation,[status(esa)],[f107]) ).
fof(f118,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| sdtmndtasgtdt0(xb,xR,sk0_17) ),
inference(cnf_transformation,[status(esa)],[f107]) ).
fof(f119,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| sdtmndtasgtdt0(xc,xR,sk0_17) ),
inference(cnf_transformation,[status(esa)],[f107]) ).
fof(f120,plain,
sdtmndtasgtdt0(xa,xR,xb),
inference(cnf_transformation,[status(esa)],[f107]) ).
fof(f121,plain,
sdtmndtasgtdt0(xa,xR,xc),
inference(cnf_transformation,[status(esa)],[f107]) ).
fof(f122,plain,
! [X0] :
( ~ aElement0(X0)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ sdtmndtasgtdt0(xc,xR,X0) ),
inference(cnf_transformation,[status(esa)],[f107]) ).
fof(f123,plain,
( spl0_0
<=> sdtmndtplgtdt0(xa,xR,xb) ),
introduced(split_symbol_definition) ).
fof(f124,plain,
( sdtmndtplgtdt0(xa,xR,xb)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,plain,
( spl0_1
<=> sdtmndtplgtdt0(xa,xR,xc) ),
introduced(split_symbol_definition) ).
fof(f153,plain,
( spl0_8
<=> aElement0(sk0_16) ),
introduced(split_symbol_definition) ).
fof(f156,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_8 ),
inference(split_clause,[status(thm)],[f114,f123,f126,f153]) ).
fof(f165,plain,
( spl0_11
<=> aNormalFormOfIn0(sk0_17,sk0_16,xR) ),
introduced(split_symbol_definition) ).
fof(f166,plain,
( aNormalFormOfIn0(sk0_17,sk0_16,xR)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_11 ),
inference(split_clause,[status(thm)],[f117,f123,f126,f165]) ).
fof(f169,plain,
( spl0_12
<=> sdtmndtasgtdt0(xb,xR,sk0_17) ),
introduced(split_symbol_definition) ).
fof(f172,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_12 ),
inference(split_clause,[status(thm)],[f118,f123,f126,f169]) ).
fof(f173,plain,
( spl0_13
<=> sdtmndtasgtdt0(xc,xR,sk0_17) ),
introduced(split_symbol_definition) ).
fof(f174,plain,
( sdtmndtasgtdt0(xc,xR,sk0_17)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_13 ),
inference(split_clause,[status(thm)],[f119,f123,f126,f173]) ).
fof(f177,plain,
! [X2,X1] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X2,X1,X2) ),
inference(destructive_equality_resolution,[status(esa)],[f46]) ).
fof(f178,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X0,X1,X0) ),
inference(duplicate_literals_removal,[status(esa)],[f177]) ).
fof(f183,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| X0 = X1
| sdtmndtplgtdt0(X0,xR,X1) ),
inference(resolution,[status(thm)],[f95,f45]) ).
fof(f186,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aNormalFormOfIn0(X1,X0,xR)
| aElement0(X1) ),
inference(resolution,[status(thm)],[f95,f88]) ).
fof(f187,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtplgtdt0(X0,xR,X1) ),
inference(resolution,[status(thm)],[f95,f47]) ).
fof(f194,plain,
! [X0] :
( ~ aElement0(X0)
| sdtmndtasgtdt0(X0,xR,X0) ),
inference(resolution,[status(thm)],[f178,f95]) ).
fof(f195,plain,
( spl0_14
<=> aElement0(xc) ),
introduced(split_symbol_definition) ).
fof(f197,plain,
( ~ aElement0(xc)
| spl0_14 ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( spl0_15
<=> sdtmndtasgtdt0(xb,xR,xc) ),
introduced(split_symbol_definition) ).
fof(f200,plain,
( ~ sdtmndtasgtdt0(xb,xR,xc)
| spl0_15 ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( ~ aElement0(xc)
| ~ aElement0(xc)
| ~ sdtmndtasgtdt0(xb,xR,xc) ),
inference(resolution,[status(thm)],[f194,f122]) ).
fof(f202,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f201,f195,f198]) ).
fof(f203,plain,
( spl0_16
<=> aElement0(xb) ),
introduced(split_symbol_definition) ).
fof(f205,plain,
( ~ aElement0(xb)
| spl0_16 ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( spl0_17
<=> sdtmndtasgtdt0(xc,xR,xb) ),
introduced(split_symbol_definition) ).
fof(f208,plain,
( ~ sdtmndtasgtdt0(xc,xR,xb)
| spl0_17 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( ~ aElement0(xb)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(xc,xR,xb) ),
inference(resolution,[status(thm)],[f194,f122]) ).
fof(f210,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f209,f203,f206]) ).
fof(f211,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f205,f99]) ).
fof(f212,plain,
spl0_16,
inference(contradiction_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f197,f100]) ).
fof(f214,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f213]) ).
fof(f230,plain,
! [X0] :
( ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,xc)
| X0 = xc
| sdtmndtplgtdt0(X0,xR,xc) ),
inference(resolution,[status(thm)],[f183,f100]) ).
fof(f231,plain,
! [X0] :
( ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,xb)
| X0 = xb
| sdtmndtplgtdt0(X0,xR,xb) ),
inference(resolution,[status(thm)],[f183,f99]) ).
fof(f233,plain,
( spl0_21
<=> aElement0(xa) ),
introduced(split_symbol_definition) ).
fof(f235,plain,
( ~ aElement0(xa)
| spl0_21 ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( spl0_22
<=> xa = xc ),
introduced(split_symbol_definition) ).
fof(f237,plain,
( xa = xc
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( ~ aElement0(xa)
| xa = xc
| sdtmndtplgtdt0(xa,xR,xc) ),
inference(resolution,[status(thm)],[f230,f121]) ).
fof(f240,plain,
( ~ spl0_21
| spl0_22
| spl0_1 ),
inference(split_clause,[status(thm)],[f239,f233,f236,f126]) ).
fof(f249,plain,
( $false
| spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f98]) ).
fof(f250,plain,
spl0_21,
inference(contradiction_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( spl0_25
<=> xa = xb ),
introduced(split_symbol_definition) ).
fof(f252,plain,
( xa = xb
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,plain,
( ~ aElement0(xa)
| xa = xb
| sdtmndtplgtdt0(xa,xR,xb) ),
inference(resolution,[status(thm)],[f231,f120]) ).
fof(f255,plain,
( ~ spl0_21
| spl0_25
| spl0_0 ),
inference(split_clause,[status(thm)],[f254,f233,f251,f123]) ).
fof(f274,plain,
( ~ sdtmndtasgtdt0(xa,xR,xc)
| ~ spl0_25
| spl0_15 ),
inference(forward_demodulation,[status(thm)],[f252,f200]) ).
fof(f275,plain,
( $false
| ~ spl0_25
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f274,f121]) ).
fof(f276,plain,
( ~ spl0_25
| spl0_15 ),
inference(contradiction_clause,[status(thm)],[f275]) ).
fof(f282,plain,
( spl0_28
<=> sdtmndtasgtdt0(xa,xR,xb) ),
introduced(split_symbol_definition) ).
fof(f283,plain,
( sdtmndtasgtdt0(xa,xR,xb)
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( ~ aElement0(xa)
| ~ aElement0(xb)
| sdtmndtasgtdt0(xa,xR,xb)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f124,f187]) ).
fof(f286,plain,
( ~ spl0_21
| ~ spl0_16
| spl0_28
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f285,f233,f203,f282,f123]) ).
fof(f299,plain,
( ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ spl0_22
| spl0_17 ),
inference(forward_demodulation,[status(thm)],[f237,f208]) ).
fof(f300,plain,
( $false
| ~ spl0_22
| spl0_17
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f283,f299]) ).
fof(f301,plain,
( ~ spl0_22
| spl0_17
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f300]) ).
fof(f339,plain,
( spl0_37
<=> aElement0(sk0_17) ),
introduced(split_symbol_definition) ).
fof(f342,plain,
( ~ aElement0(sk0_16)
| aElement0(sk0_17)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f166,f186]) ).
fof(f343,plain,
( ~ spl0_8
| spl0_37
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f342,f153,f339,f165]) ).
fof(f389,plain,
( ~ aElement0(sk0_17)
| ~ sdtmndtasgtdt0(xb,xR,sk0_17)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f122,f174]) ).
fof(f390,plain,
( ~ spl0_37
| ~ spl0_12
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f389,f339,f169,f173]) ).
fof(f393,plain,
$false,
inference(sat_refutation,[status(thm)],[f156,f168,f172,f176,f202,f210,f212,f214,f240,f250,f255,f276,f286,f301,f343,f390]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COM022+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 01:18:58 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.16/0.37 % Refutation found
% 0.16/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.39 % Elapsed time: 0.057678 seconds
% 0.16/0.39 % CPU time: 0.349460 seconds
% 0.16/0.39 % Total memory used: 56.581 MB
% 0.16/0.39 % Net memory used: 56.419 MB
%------------------------------------------------------------------------------