TSTP Solution File: SET767+4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET767+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 09:18:54 EDT 2024
% Result : Theorem 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 3 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 76 ( 27 ~; 21 |; 18 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 69 ( 60 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2980,plain,
$false,
inference(resolution,[],[f2976,f66]) ).
fof(f66,plain,
~ subset(equivalence_class(sK2,sK0,sK1),sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ~ subset(equivalence_class(sK2,sK0,sK1),sK0)
& equivalence(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f34,f39]) ).
fof(f39,plain,
( ? [X0,X1,X2] :
( ~ subset(equivalence_class(X2,X0,X1),X0)
& equivalence(X1,X0) )
=> ( ~ subset(equivalence_class(sK2,sK0,sK1),sK0)
& equivalence(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
? [X0,X1,X2] :
( ~ subset(equivalence_class(X2,X0,X1),X0)
& equivalence(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1,X2] :
( equivalence(X1,X0)
=> subset(equivalence_class(X2,X0,X1),X0) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X6,X0] :
( equivalence(X6,X3)
=> subset(equivalence_class(X0,X3,X6),X3) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X6,X0] :
( equivalence(X6,X3)
=> subset(equivalence_class(X0,X3,X6),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII03) ).
fof(f2976,plain,
! [X2,X0,X1] : subset(equivalence_class(X0,X1,X2),X1),
inference(duplicate_literal_removal,[],[f2928]) ).
fof(f2928,plain,
! [X2,X0,X1] :
( subset(equivalence_class(X0,X1,X2),X1)
| subset(equivalence_class(X0,X1,X2),X1) ),
inference(resolution,[],[f195,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f42,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f195,plain,
! [X2,X3,X0,X1] :
( member(sK3(equivalence_class(X0,X1,X2),X3),X1)
| subset(equivalence_class(X0,X1,X2),X3) ),
inference(resolution,[],[f96,f69]) ).
fof(f69,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,equivalence_class(X2,X1,X0))
| member(X3,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( ( member(X3,equivalence_class(X2,X1,X0))
| ~ apply(X0,X2,X3)
| ~ member(X3,X1) )
& ( ( apply(X0,X2,X3)
& member(X3,X1) )
| ~ member(X3,equivalence_class(X2,X1,X0)) ) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( ( member(X3,equivalence_class(X2,X1,X0))
| ~ apply(X0,X2,X3)
| ~ member(X3,X1) )
& ( ( apply(X0,X2,X3)
& member(X3,X1) )
| ~ member(X3,equivalence_class(X2,X1,X0)) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( member(X3,equivalence_class(X2,X1,X0))
<=> ( apply(X0,X2,X3)
& member(X3,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X6,X3,X0,X2] :
( member(X2,equivalence_class(X0,X3,X6))
<=> ( apply(X6,X0,X2)
& member(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence_class) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET767+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n012.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 : Fri May 3 16:20:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (2342)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (2346)WARNING: value z3 for option sas not known
% 0.13/0.37 % (2347)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (2345)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 % (2344)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (2348)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 % (2349)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 % (2346)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)
% 0.13/0.37 % (2350)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 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [2]
% 0.21/0.39 TRYING [5]
% 0.21/0.40 TRYING [3]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [6]
% 0.21/0.42 TRYING [3]
% 0.21/0.43 TRYING [4]
% 0.21/0.43 TRYING [4]
% 0.21/0.44 TRYING [5]
% 0.21/0.45 % (2346)First to succeed.
% 0.21/0.45 % (2346)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2342"
% 0.21/0.45 % (2348)Also succeeded, but the first one will report.
% 0.21/0.45 % (2346)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Theorem for theBenchmark
% 0.21/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45 % (2346)------------------------------
% 0.21/0.45 % (2346)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.45 % (2346)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (2346)Memory used [KB]: 2203
% 0.21/0.45 % (2346)Time elapsed: 0.079 s
% 0.21/0.45 % (2346)Instructions burned: 129 (million)
% 0.21/0.45 % (2342)Success in time 0.096 s
%------------------------------------------------------------------------------