TSTP Solution File: NUM602+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM602+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 : n025.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 08:39:27 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 38 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 34 ( 13 ~; 7 |; 12 &)
% ( 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(f651,plain,
$false,
inference(resolution,[],[f650,f348]) ).
fof(f348,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[],[f98]) ).
fof(f98,axiom,
aElementOf0(xx,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5009) ).
fof(f650,plain,
~ aElementOf0(xx,xO),
inference(resolution,[],[f649,f382]) ).
fof(f382,plain,
! [X0] :
( aElementOf0(sK12(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,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])],[f116,f251]) ).
fof(f251,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(f116,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(f649,plain,
~ aElementOf0(sK12(xx),szNzAzT0),
inference(trivial_inequality_removal,[],[f648]) ).
fof(f648,plain,
( xx != xx
| ~ aElementOf0(sK12(xx),szNzAzT0) ),
inference(superposition,[],[f345,f645]) ).
fof(f645,plain,
xx = sdtlpdtrp0(xe,sK12(xx)),
inference(resolution,[],[f384,f348]) ).
fof(f384,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK12(X0)) = X0 ),
inference(cnf_transformation,[],[f252]) ).
fof(f345,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,negated_conjecture,
~ ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f99]) ).
fof(f99,conjecture,
? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM602+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 15:19:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (25616)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (25619)WARNING: value z3 for option sas not known
% 0.13/0.37 % (25620)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (25623)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)
% 0.13/0.37 % (25622)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)
% 0.13/0.37 % (25618)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (25621)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)
% 0.13/0.37 % (25617)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (25619)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)
% 0.13/0.38 % (25622)First to succeed.
% 0.13/0.38 % (25622)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25616"
% 0.13/0.38 % (25622)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (25622)------------------------------
% 0.13/0.38 % (25622)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (25622)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (25622)Memory used [KB]: 1226
% 0.13/0.38 % (25622)Time elapsed: 0.015 s
% 0.13/0.38 % (25622)Instructions burned: 23 (million)
% 0.13/0.38 % (25616)Success in time 0.028 s
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