%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM538+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.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 : Fri Jul 25 12:28:25 PM UTC 2025
% Result : Theorem 143.83s 18.37s
% Output : CNFRefutation 143.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 23 unt; 0 def)
% Number of atoms : 105 ( 18 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 108 ( 47 ~; 42 |; 7 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) = sbrdtbr0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) != sbrdtbr0(xS),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(71,plain,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) != sbrdtbr0(xS),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) != sbrdtbr0(xS),
inference(instantiation,[status(thm)],[71]) ).
fof(mCardCons,plain,
! [W0] :
( ( aSet0(W0)
& isFinite0(W0) )
=> ! [W1] :
( aElement0(W1)
=> ( ~ aElementOf0(W1,W0)
=> sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
cnf(67,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| sbrdtbr0(sdtpldt0(X1,X0)) = szszuzczcdt0(sbrdtbr0(X1))
| aElementOf0(X0,X1) ),
inference(cnf,[status(esa)],[mCardCons]) ).
cnf(l4,plain,
( ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ isFinite0(sdtmndt0(xS,xx))
| sbrdtbr0(sdtpldt0(sdtmndt0(xS,xx),xx)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))
| aElementOf0(xx,sdtmndt0(xS,xx)) ),
inference(instantiation,[status(thm)],[67]) ).
fof(mFDiffSet,plain,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( aSet0(W1)
& isFinite0(W1) )
=> isFinite0(sdtmndt0(W1,W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
cnf(42,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| isFinite0(sdtmndt0(X1,X0)) ),
inference(cnf,[status(esa)],[mFDiffSet]) ).
cnf(l39,plain,
( ~ aElement0(xx)
| ~ aSet0(xS)
| ~ isFinite0(xS)
| isFinite0(sdtmndt0(xS,xx)) ),
inference(instantiation,[status(thm)],[42]) ).
fof(mEOfElem,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
cnf(0,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
cnf(l64,plain,
( ~ aSet0(xS)
| ~ aElementOf0(xx,xS)
| aElement0(xx) ),
inference(instantiation,[status(thm)],[0]) ).
fof(mConsDiff,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
cnf(37,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ),
inference(cnf,[status(esa)],[mConsDiff]) ).
cnf(l83,plain,
( ~ aSet0(xS)
| ~ aElementOf0(xx,xS)
| sdtpldt0(sdtmndt0(xS,xx),xx) = xS ),
inference(instantiation,[status(thm)],[37]) ).
fof(m__1522,plain,
aSet0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1522) ).
cnf(68,plain,
aSet0(xS),
inference(cnf,[status(esa)],[m__1522]) ).
cnf(l267,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[68]) ).
cnf(l312,plain,
( ~ aSet0(xS)
| ~ aElementOf0(xx,xS)
| aElement0(xx) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l75,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[68]) ).
fof(mDefDiff,plain,
! [W0,W1] :
( ( aSet0(W0)
& aElement0(W1) )
=> ! [W2] :
( W2 = sdtmndt0(W0,W1)
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aElement0(W3)
& aElementOf0(W3,W0)
& W3 != W1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
cnf(26,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| X2 != sdtmndt0(X1,X0)
| aSet0(X2) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
cnf(l464,plain,
( ~ aElement0(xx)
| ~ aSet0(xS)
| sdtmndt0(xS,xx) != sdtmndt0(xS,xx)
| aSet0(sdtmndt0(xS,xx)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l344,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[68]) ).
cnf(l336,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[68]) ).
fof(m__1522_02,plain,
( isFinite0(xS)
& aElementOf0(xx,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1522_02) ).
cnf(70,plain,
aElementOf0(xx,xS),
inference(cnf,[status(esa)],[m__1522_02]) ).
cnf(l351,plain,
aElementOf0(xx,xS),
inference(instantiation,[status(thm)],[70]) ).
cnf(l78,plain,
aElementOf0(xx,xS),
inference(instantiation,[status(thm)],[70]) ).
cnf(l521,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[68]) ).
cnf(69,plain,
isFinite0(xS),
inference(cnf,[status(esa)],[m__1522_02]) ).
cnf(l93,plain,
isFinite0(xS),
inference(instantiation,[status(thm)],[69]) ).
cnf(l523,plain,
( ~ aSet0(xS)
| ~ aElementOf0(xx,xS)
| aElement0(xx) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l555,plain,
aElementOf0(xx,xS),
inference(instantiation,[status(thm)],[70]) ).
cnf(l100,plain,
aElementOf0(xx,xS),
inference(instantiation,[status(thm)],[70]) ).
cnf(l524,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[68]) ).
cnf(29,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| X2 != sdtmndt0(X1,X0)
| X3 != X0
| ~ aElementOf0(X3,X2) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
cnf(l471,plain,
( ~ aElement0(xx)
| ~ aSet0(xS)
| sdtmndt0(xS,xx) != sdtmndt0(xS,xx)
| xx != xx
| ~ aElementOf0(xx,sdtmndt0(xS,xx)) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l562,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[68]) ).
cnf(l549,plain,
( ~ aSet0(xS)
| ~ aElementOf0(xx,xS)
| aElement0(xx) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l557,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[68]) ).
cnf(l551,plain,
aElementOf0(xx,xS),
inference(instantiation,[status(thm)],[70]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l39,l64,l83,l267,l312,l75,l464,l344,l336,l351,l78,l521,l93,l523,l555,l100,l524,l471,l562,l549,l557,l551]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM538+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 12:44:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.38 % launching worker at depth: 11
% 3.25/0.76 % launching worker at depth: 12
% 43.23/5.81 % launching worker at depth: 13
% 143.83/18.37 % SZS status Theorem for theBenchmark
% 143.83/18.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------