TSTP Solution File: NUM618+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM618+1 : 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 : n004.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 14:35:41 EDT 2024
% Result : Theorem 0.10s 0.35s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 39 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 35 ( 13 ~; 7 |; 13 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 8 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f701,plain,
$false,
inference(resolution,[],[f700,f411]) ).
fof(f411,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[],[f114]) ).
fof(f114,axiom,
( aElementOf0(xx,xO)
& aElementOf0(xx,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).
fof(f700,plain,
~ aElementOf0(xx,xO),
inference(resolution,[],[f699,f419]) ).
fof(f419,plain,
! [X0] :
( aElementOf0(sK12(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0] :
( ( sdtlpdtrp0(xe,sK12(X0)) = X0
& aElementOf0(sK12(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(sK12(X0),szNzAzT0) )
| ~ aElementOf0(X0,xO) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f132,f267]) ).
fof(f267,plain,
! [X0] :
( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlpdtrp0(xe,sK12(X0)) = X0
& aElementOf0(sK12(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(sK12(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0] :
( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,xO) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,axiom,
! [X0] :
( aElementOf0(X0,xO)
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).
fof(f699,plain,
~ aElementOf0(sK12(xx),szNzAzT0),
inference(trivial_inequality_removal,[],[f698]) ).
fof(f698,plain,
( xx != xx
| ~ aElementOf0(sK12(xx),szNzAzT0) ),
inference(superposition,[],[f361,f696]) ).
fof(f696,plain,
xx = sdtlpdtrp0(xe,sK12(xx)),
inference(resolution,[],[f421,f411]) ).
fof(f421,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK12(X0)) = X0 ),
inference(cnf_transformation,[],[f268]) ).
fof(f361,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,negated_conjecture,
~ ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f115]) ).
fof(f115,conjecture,
? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM618+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n004.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 23:32:33 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (13326)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34 % (13329)WARNING: value z3 for option sas not known
% 0.10/0.34 % (13333)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)
% 0.10/0.34 % (13332)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)
% 0.10/0.34 % (13327)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.34 % (13328)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.34 % (13331)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)
% 0.10/0.34 % (13330)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.34 % (13329)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)
% 0.10/0.35 % (13332)First to succeed.
% 0.10/0.35 % (13332)Refutation found. Thanks to Tanya!
% 0.10/0.35 % SZS status Theorem for theBenchmark
% 0.10/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.35 % (13332)------------------------------
% 0.10/0.35 % (13332)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.35 % (13332)Termination reason: Refutation
% 0.10/0.35
% 0.10/0.35 % (13332)Memory used [KB]: 1282
% 0.10/0.35 % (13332)Time elapsed: 0.015 s
% 0.10/0.35 % (13332)Instructions burned: 26 (million)
% 0.10/0.35 % (13332)------------------------------
% 0.10/0.35 % (13332)------------------------------
% 0.10/0.35 % (13326)Success in time 0.034 s
%------------------------------------------------------------------------------