TSTP Solution File: NUM533+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM533+2 : 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 : n017.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 14:32:22 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 84 ( 23 ~; 13 |; 35 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 23 ( 19 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,plain,
$false,
inference(unit_resulting_resolution,[],[f56,f93,f53]) ).
fof(f53,plain,
! [X1] :
( ~ aElementOf0(X1,xB)
| aElementOf0(X1,xC) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ~ aSubsetOf0(xA,xC)
& ~ aElementOf0(sK2,xC)
& aElementOf0(sK2,xA)
& aSubsetOf0(xB,xC)
& ! [X1] :
( aElementOf0(X1,xC)
| ~ aElementOf0(X1,xB) )
& aSubsetOf0(xA,xB)
& ! [X2] :
( aElementOf0(X2,xB)
| ~ aElementOf0(X2,xA) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f37,f38]) ).
fof(f38,plain,
( ? [X0] :
( ~ aElementOf0(X0,xC)
& aElementOf0(X0,xA) )
=> ( ~ aElementOf0(sK2,xC)
& aElementOf0(sK2,xA) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
( ~ aSubsetOf0(xA,xC)
& ? [X0] :
( ~ aElementOf0(X0,xC)
& aElementOf0(X0,xA) )
& aSubsetOf0(xB,xC)
& ! [X1] :
( aElementOf0(X1,xC)
| ~ aElementOf0(X1,xB) )
& aSubsetOf0(xA,xB)
& ! [X2] :
( aElementOf0(X2,xB)
| ~ aElementOf0(X2,xA) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
( ~ aSubsetOf0(xA,xC)
& ? [X2] :
( ~ aElementOf0(X2,xC)
& aElementOf0(X2,xA) )
& aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xC)
| ~ aElementOf0(X0,xB) )
& aSubsetOf0(xA,xB)
& ! [X1] :
( aElementOf0(X1,xB)
| ~ aElementOf0(X1,xA) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
( ~ aSubsetOf0(xA,xC)
& ? [X2] :
( ~ aElementOf0(X2,xC)
& aElementOf0(X2,xA) )
& aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xC)
| ~ aElementOf0(X0,xB) )
& aSubsetOf0(xA,xB)
& ! [X1] :
( aElementOf0(X1,xB)
| ~ aElementOf0(X1,xA) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ( ( aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) )
& aSubsetOf0(xA,xB)
& ! [X1] :
( aElementOf0(X1,xA)
=> aElementOf0(X1,xB) ) )
=> ( aSubsetOf0(xA,xC)
| ! [X2] :
( aElementOf0(X2,xA)
=> aElementOf0(X2,xC) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ( ( aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) )
& aSubsetOf0(xA,xB)
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xB) ) )
=> ( aSubsetOf0(xA,xC)
| ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xC) ) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
( ( aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) )
& aSubsetOf0(xA,xB)
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xB) ) )
=> ( aSubsetOf0(xA,xC)
| ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xC) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f93,plain,
aElementOf0(sK2,xB),
inference(unit_resulting_resolution,[],[f55,f51]) ).
fof(f51,plain,
! [X2] :
( ~ aElementOf0(X2,xA)
| aElementOf0(X2,xB) ),
inference(cnf_transformation,[],[f39]) ).
fof(f55,plain,
aElementOf0(sK2,xA),
inference(cnf_transformation,[],[f39]) ).
fof(f56,plain,
~ aElementOf0(sK2,xC),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM533+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n017.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Apr 29 23:02:33 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (9208)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (9211)WARNING: value z3 for option sas not known
% 0.13/0.38 % (9212)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (9215)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)
% 0.13/0.38 % (9210)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (9213)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)
% 0.13/0.38 % (9211)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 % (9214)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)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (9215)First to succeed.
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (9214)Also succeeded, but the first one will report.
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 % (9211)Also succeeded, but the first one will report.
% 0.13/0.38 % (9215)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 % (9215)------------------------------
% 0.13/0.38 % (9215)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (9215)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (9215)Memory used [KB]: 749
% 0.13/0.38 % (9215)Time elapsed: 0.004 s
% 0.13/0.38 % (9215)Instructions burned: 4 (million)
% 0.13/0.38 % (9215)------------------------------
% 0.13/0.38 % (9215)------------------------------
% 0.13/0.38 % (9208)Success in time 0.018 s
%------------------------------------------------------------------------------