TSTP Solution File: NUM595+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM595+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Sun May 5 08:39:25 EDT 2024
% Result : Theorem 64.17s 9.51s
% Output : Refutation 64.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 65 ( 21 unt; 0 def)
% Number of atoms : 285 ( 60 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 332 ( 112 ~; 91 |; 109 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 102 ( 81 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f595267,plain,
$false,
inference(subsumption_resolution,[],[f595078,f710]) ).
fof(f710,plain,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
~ aElementOf0(xx,xT),
inference(flattening,[],[f98]) ).
fof(f98,negated_conjecture,
~ aElementOf0(xx,xT),
inference(negated_conjecture,[],[f97]) ).
fof(f97,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f595078,plain,
aElementOf0(xx,xT),
inference(superposition,[],[f1722,f595027]) ).
fof(f595027,plain,
xx = sK132(xi),
inference(forward_demodulation,[],[f595026,f838]) ).
fof(f838,plain,
xx = sdtlpdtrp0(xd,xi),
inference(cnf_transformation,[],[f95]) ).
fof(f95,axiom,
( xx = sdtlpdtrp0(xd,xi)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4806) ).
fof(f595026,plain,
sdtlpdtrp0(xd,xi) = sK132(xi),
inference(forward_demodulation,[],[f594918,f533458]) ).
fof(f533458,plain,
sK132(xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK116),
inference(unit_resulting_resolution,[],[f1732,f1318,f420780,f968]) ).
fof(f968,plain,
! [X2,X0,X1] :
( ~ sP64(X0,X1)
| sP63(X2,X1)
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0 ),
inference(cnf_transformation,[],[f556]) ).
fof(f556,plain,
! [X0,X1] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = X0
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
& sP63(X2,X1) )
| ~ aSet0(X2) )
| ~ sP64(X0,X1) ),
inference(rectify,[],[f555]) ).
fof(f555,plain,
! [X1,X0] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& sP63(X2,X0) )
| ~ aSet0(X2) )
| ~ sP64(X1,X0) ),
inference(nnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X1,X0] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& sP63(X2,X0) )
| ~ aSet0(X2) )
| ~ sP64(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f420780,plain,
~ sP63(sK116,xi),
inference(unit_resulting_resolution,[],[f1482,f8885,f971]) ).
fof(f971,plain,
! [X0,X1] :
( ~ sP63(X0,X1)
| ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| sbrdtbr0(X0) != xk ),
inference(cnf_transformation,[],[f558]) ).
fof(f558,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& sP62(X1,X0) )
| ~ sP63(X0,X1) ),
inference(rectify,[],[f557]) ).
fof(f557,plain,
! [X2,X0] :
( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP62(X0,X2) )
| ~ sP63(X2,X0) ),
inference(nnf_transformation,[],[f319]) ).
fof(f319,plain,
! [X2,X0] :
( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP62(X0,X2) )
| ~ sP63(X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f8885,plain,
aSubsetOf0(sK116,sdtlpdtrp0(xN,szszuzczcdt0(xi))),
inference(unit_resulting_resolution,[],[f1316,f823]) ).
fof(f823,plain,
! [X0] :
( ~ sP24(X0)
| aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ),
inference(cnf_transformation,[],[f448]) ).
fof(f448,plain,
! [X0] :
( ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ sP24(X0) ),
inference(rectify,[],[f447]) ).
fof(f447,plain,
! [X1] :
( ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ sP24(X1) ),
inference(nnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X1] :
( ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ sP24(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f1316,plain,
sP24(sK116),
inference(unit_resulting_resolution,[],[f830,f826]) ).
fof(f826,plain,
! [X1] :
( ~ aElementOf0(X1,xX)
| sP24(X1) ),
inference(cnf_transformation,[],[f450]) ).
fof(f450,plain,
( aElementOf0(sK116,xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X1] :
( ( aElementOf0(X1,xX)
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sP25(X1) ) )
& ( sP24(X1)
| ~ aElementOf0(X1,xX) ) )
& aSet0(xX) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK116])],[f276,f449]) ).
fof(f449,plain,
( ? [X0] : aElementOf0(X0,xX)
=> aElementOf0(sK116,xX) ),
introduced(choice_axiom,[]) ).
fof(f276,plain,
( ? [X0] : aElementOf0(X0,xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X1] :
( ( aElementOf0(X1,xX)
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sP25(X1) ) )
& ( sP24(X1)
| ~ aElementOf0(X1,xX) ) )
& aSet0(xX) ),
inference(definition_folding,[],[f128,f275,f274]) ).
fof(f275,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& aElementOf0(X2,X1) )
| ~ aSet0(X1)
| ~ sP25(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f128,plain,
( ? [X0] : aElementOf0(X0,xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X1] :
( ( aElementOf0(X1,xX)
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
& ( ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aElementOf0(X1,xX) ) )
& aSet0(xX) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
( ? [X0] : aElementOf0(X0,xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X1] :
( ( aElementOf0(X1,xX)
| sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
& ( ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aElementOf0(X1,xX) ) )
& aSet0(xX) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
( ? [X0] : aElementOf0(X0,xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X1] :
( ( ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X1) ) ) )
=> aElementOf0(X1,xX) )
& ( aElementOf0(X1,xX)
=> ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X1) ) ) )
& aSet0(xX) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
( ~ ~ ? [X0] : aElementOf0(X0,xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X1] :
( ( ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X1) ) ) )
=> aElementOf0(X1,xX) )
& ( aElementOf0(X1,xX)
=> ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X1) ) ) )
& aSet0(xX) ),
inference(rectify,[],[f96]) ).
fof(f96,axiom,
( ~ ~ ? [X0] : aElementOf0(X0,xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,xX) )
& ( aElementOf0(X0,xX)
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) ) ) )
& aSet0(xX) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4826) ).
fof(f830,plain,
aElementOf0(sK116,xX),
inference(cnf_transformation,[],[f450]) ).
fof(f1482,plain,
xk = sbrdtbr0(sK116),
inference(unit_resulting_resolution,[],[f1316,f824]) ).
fof(f824,plain,
! [X0] :
( ~ sP24(X0)
| sbrdtbr0(X0) = xk ),
inference(cnf_transformation,[],[f448]) ).
fof(f1318,plain,
aSet0(sK116),
inference(unit_resulting_resolution,[],[f1316,f821]) ).
fof(f821,plain,
! [X0] :
( ~ sP24(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f448]) ).
fof(f1732,plain,
sP64(sK132(xi),xi),
inference(unit_resulting_resolution,[],[f837,f975]) ).
fof(f975,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP64(sK132(X0),X0) ),
inference(cnf_transformation,[],[f564]) ).
fof(f564,plain,
! [X0] :
( ( sP64(sK132(X0),X0)
& aElementOf0(sK132(X0),xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK132])],[f321,f563]) ).
fof(f563,plain,
! [X0] :
( ? [X1] :
( sP64(X1,X0)
& aElementOf0(X1,xT) )
=> ( sP64(sK132(X0),X0)
& aElementOf0(sK132(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f321,plain,
! [X0] :
( ? [X1] :
( sP64(X1,X0)
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f139,f320,f319,f318]) ).
fof(f318,plain,
! [X0,X2] :
( ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) )
| ~ sP62(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f139,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) ) ) )
| ~ aSet0(X2) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( ! [X2] :
( ( ( aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
& aSet0(X2) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 )
& aElementOf0(X1,xT) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4618) ).
fof(f837,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f95]) ).
fof(f594918,plain,
sdtlpdtrp0(xd,xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK116),
inference(unit_resulting_resolution,[],[f1318,f416968,f837,f726]) ).
fof(f726,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sP2(X1,X0)
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& sP2(X1,X0) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(definition_folding,[],[f120,f248,f247]) ).
fof(f247,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f248,plain,
! [X1,X0] :
( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP1(X0,X1) )
| ~ sP2(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f120,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) ) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) ) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
& aSet0(X1) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).
fof(f416968,plain,
~ sP2(sK116,xi),
inference(unit_resulting_resolution,[],[f1482,f8885,f721]) ).
fof(f721,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| sbrdtbr0(X0) != xk ),
inference(cnf_transformation,[],[f383]) ).
fof(f383,plain,
! [X0,X1] :
( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& sP1(X1,X0) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f382]) ).
fof(f382,plain,
! [X1,X0] :
( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP1(X0,X1) )
| ~ sP2(X1,X0) ),
inference(nnf_transformation,[],[f248]) ).
fof(f1722,plain,
aElementOf0(sK132(xi),xT),
inference(unit_resulting_resolution,[],[f837,f974]) ).
fof(f974,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK132(X0),xT) ),
inference(cnf_transformation,[],[f564]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM595+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n007.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 15:09:22 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % (7900)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (7903)WARNING: value z3 for option sas not known
% 0.16/0.33 % (7903)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (7907)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.33 % (7905)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.33 % (7901)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (7902)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (7904)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (7906)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.38 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.44 TRYING [3]
% 1.73/0.62 TRYING [4]
% 6.04/1.18 TRYING [5]
% 16.39/2.67 TRYING [6]
% 16.39/2.69 TRYING [1]
% 18.09/2.89 TRYING [2]
% 24.08/3.76 TRYING [1]
% 25.62/4.04 TRYING [2]
% 31.17/4.81 TRYING [3]
% 40.18/6.11 TRYING [3]
% 41.08/6.22 TRYING [7]
% 63.91/9.47 % (7907)First to succeed.
% 63.91/9.48 % (7907)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7900"
% 64.17/9.51 % (7907)Refutation found. Thanks to Tanya!
% 64.17/9.51 % SZS status Theorem for theBenchmark
% 64.17/9.51 % SZS output start Proof for theBenchmark
% See solution above
% 64.17/9.51 % (7907)------------------------------
% 64.17/9.51 % (7907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 64.17/9.51 % (7907)Termination reason: Refutation
% 64.17/9.51
% 64.17/9.52 % (7907)Memory used [KB]: 222457
% 64.17/9.52 % (7907)Time elapsed: 9.136 s
% 64.17/9.52 % (7907)Instructions burned: 20178 (million)
% 64.17/9.52 % (7900)Success in time 9.19 s
%------------------------------------------------------------------------------