TSTP Solution File: NUM533+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM533+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 18:05:40 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 84 ( 23 ~; 13 |; 35 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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(f73,plain,
$false,
inference(subsumption_resolution,[],[f72,f66]) ).
fof(f66,plain,
~ aElementOf0(sK2,xC),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xB)
| ~ aElementOf0(X0,xA) )
& ~ aElementOf0(sK2,xC)
& aElementOf0(sK2,xA)
& ~ aSubsetOf0(xA,xC)
& ! [X2] :
( aElementOf0(X2,xC)
| ~ aElementOf0(X2,xB) )
& aSubsetOf0(xA,xB) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f45,f46]) ).
fof(f46,plain,
( ? [X1] :
( ~ aElementOf0(X1,xC)
& aElementOf0(X1,xA) )
=> ( ~ aElementOf0(sK2,xC)
& aElementOf0(sK2,xA) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
( aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xB)
| ~ aElementOf0(X0,xA) )
& ? [X1] :
( ~ aElementOf0(X1,xC)
& aElementOf0(X1,xA) )
& ~ aSubsetOf0(xA,xC)
& ! [X2] :
( aElementOf0(X2,xC)
| ~ aElementOf0(X2,xB) )
& aSubsetOf0(xA,xB) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
( aSubsetOf0(xB,xC)
& ! [X1] :
( aElementOf0(X1,xB)
| ~ aElementOf0(X1,xA) )
& ? [X2] :
( ~ aElementOf0(X2,xC)
& aElementOf0(X2,xA) )
& ~ aSubsetOf0(xA,xC)
& ! [X0] :
( aElementOf0(X0,xC)
| ~ aElementOf0(X0,xB) )
& aSubsetOf0(xA,xB) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
( ? [X2] :
( ~ aElementOf0(X2,xC)
& aElementOf0(X2,xA) )
& ~ aSubsetOf0(xA,xC)
& aSubsetOf0(xB,xC)
& ! [X1] :
( aElementOf0(X1,xB)
| ~ aElementOf0(X1,xA) )
& aSubsetOf0(xA,xB)
& ! [X0] :
( aElementOf0(X0,xC)
| ~ aElementOf0(X0,xB) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ( ( aSubsetOf0(xB,xC)
& ! [X1] :
( aElementOf0(X1,xA)
=> aElementOf0(X1,xB) )
& aSubsetOf0(xA,xB)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) ) )
=> ( ! [X2] :
( aElementOf0(X2,xA)
=> aElementOf0(X2,xC) )
| aSubsetOf0(xA,xC) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) )
& aSubsetOf0(xA,xB)
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xB) )
& aSubsetOf0(xB,xC) )
=> ( aSubsetOf0(xA,xC)
| ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xC) ) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
( ( ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) )
& aSubsetOf0(xA,xB)
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xB) )
& aSubsetOf0(xB,xC) )
=> ( aSubsetOf0(xA,xC)
| ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xC) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f72,plain,
aElementOf0(sK2,xC),
inference(resolution,[],[f71,f63]) ).
fof(f63,plain,
! [X2] :
( ~ aElementOf0(X2,xB)
| aElementOf0(X2,xC) ),
inference(cnf_transformation,[],[f47]) ).
fof(f71,plain,
aElementOf0(sK2,xB),
inference(resolution,[],[f67,f65]) ).
fof(f65,plain,
aElementOf0(sK2,xA),
inference(cnf_transformation,[],[f47]) ).
fof(f67,plain,
! [X0] :
( ~ aElementOf0(X0,xA)
| aElementOf0(X0,xB) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM533+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:44:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (25627)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (25630)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (25652)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.53 % (25630)First to succeed.
% 0.21/0.53 % (25641)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (25645)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.53 % (25637)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54 % (25625)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54 % (25623)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.54 % (25644)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 TRYING [3]
% 0.21/0.54 % (25630)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (25630)------------------------------
% 0.21/0.54 % (25630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (25630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (25630)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (25630)Memory used [KB]: 5373
% 0.21/0.54 % (25630)Time elapsed: 0.115 s
% 0.21/0.54 % (25630)Instructions burned: 2 (million)
% 0.21/0.54 % (25630)------------------------------
% 0.21/0.54 % (25630)------------------------------
% 0.21/0.54 % (25622)Success in time 0.183 s
%------------------------------------------------------------------------------