TSTP Solution File: SET027+4 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET027+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 : n016.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 15:05:06 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 30 ~; 16 |; 21 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 35 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f126,plain,
$false,
inference(resolution,[],[f117,f54]) ).
fof(f54,plain,
~ subset(sK0,sK2),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ~ subset(sK0,sK2)
& subset(sK1,sK2)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f25,f28]) ).
fof(f28,plain,
( ? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X1,X2)
& subset(X0,X1) )
=> ( ~ subset(sK0,sK2)
& subset(sK1,sK2)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X1,X2)
& subset(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X1,X2)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X5] :
( ( subset(X1,X5)
& subset(X0,X1) )
=> subset(X0,X5) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X1,X5] :
( ( subset(X1,X5)
& subset(X0,X1) )
=> subset(X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI03) ).
fof(f117,plain,
subset(sK0,sK2),
inference(resolution,[],[f116,f57]) ).
fof(f57,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,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])],[f31,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f31,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,[],[f30]) ).
fof(f30,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,[],[f26]) ).
fof(f26,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/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f116,plain,
~ member(sK3(sK0,sK2),sK0),
inference(resolution,[],[f109,f52]) ).
fof(f52,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f109,plain,
! [X0] :
( ~ subset(X0,sK1)
| ~ member(sK3(sK0,sK2),X0) ),
inference(resolution,[],[f108,f56]) ).
fof(f56,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f108,plain,
~ member(sK3(sK0,sK2),sK1),
inference(resolution,[],[f101,f53]) ).
fof(f53,plain,
subset(sK1,sK2),
inference(cnf_transformation,[],[f29]) ).
fof(f101,plain,
! [X0] :
( ~ subset(X0,sK2)
| ~ member(sK3(sK0,sK2),X0) ),
inference(resolution,[],[f56,f89]) ).
fof(f89,plain,
~ member(sK3(sK0,sK2),sK2),
inference(resolution,[],[f58,f54]) ).
fof(f58,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET027+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
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:56:55 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (6388)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (6394)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (6393)WARNING: value z3 for option sas not known
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (6391)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (6392)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (6393)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)
% 0.14/0.37 % (6396)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)
% 0.14/0.37 % (6397)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)
% 0.14/0.37 % (6395)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)
% 0.14/0.38 TRYING [4]
% 0.14/0.38 % (6396)First to succeed.
% 0.14/0.38 % (6396)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (6396)------------------------------
% 0.14/0.38 % (6396)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (6396)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (6396)Memory used [KB]: 854
% 0.14/0.38 % (6396)Time elapsed: 0.006 s
% 0.14/0.38 % (6396)Instructions burned: 6 (million)
% 0.14/0.38 % (6396)------------------------------
% 0.14/0.38 % (6396)------------------------------
% 0.14/0.38 % (6388)Success in time 0.02 s
%------------------------------------------------------------------------------