TSTP Solution File: SET762+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET762+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 18:22:09 EDT 2022
% Result : Theorem 1.61s 0.57s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 9 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 91 ( 34 ~; 21 |; 22 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 86 ( 69 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f82,plain,
$false,
inference(resolution,[],[f81,f64]) ).
fof(f64,plain,
~ equal_set(image2(sK3,empty_set),empty_set),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ~ equal_set(image2(sK3,empty_set),empty_set)
& maps(sK3,sK4,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f50,f51]) ).
fof(f51,plain,
( ? [X0,X1,X2] :
( ~ equal_set(image2(X1,empty_set),empty_set)
& maps(X1,X2,X0) )
=> ( ~ equal_set(image2(sK3,empty_set),empty_set)
& maps(sK3,sK4,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1,X2] :
( ~ equal_set(image2(X1,empty_set),empty_set)
& maps(X1,X2,X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X1,X0,X2] :
( ~ equal_set(image2(X0,empty_set),empty_set)
& maps(X0,X2,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X1,X2,X0] :
( maps(X0,X2,X1)
=> equal_set(image2(X0,empty_set),empty_set) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X5,X1,X0] :
( maps(X5,X0,X1)
=> equal_set(image2(X5,empty_set),empty_set) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X5,X1,X0] :
( maps(X5,X0,X1)
=> equal_set(image2(X5,empty_set),empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa12) ).
fof(f81,plain,
! [X2] : equal_set(image2(X2,empty_set),empty_set),
inference(resolution,[],[f78,f72]) ).
fof(f72,plain,
! [X0] :
( ~ subset(X0,empty_set)
| equal_set(X0,empty_set) ),
inference(resolution,[],[f57,f70]) ).
fof(f70,plain,
! [X1] : subset(empty_set,X1),
inference(resolution,[],[f59,f65]) ).
fof(f65,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
fof(f59,plain,
! [X0,X1] :
( member(sK0(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( member(sK0(X0,X1),X1)
& ~ member(sK0(X0,X1),X0) )
| subset(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f44,f45]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) )
=> ( member(sK0(X0,X1),X1)
& ~ member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) )
| subset(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
=> subset(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f57,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| equal_set(X0,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| equal_set(X0,X1)
| ~ subset(X0,X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f78,plain,
! [X0,X1] : subset(image2(X0,empty_set),X1),
inference(resolution,[],[f77,f59]) ).
fof(f77,plain,
! [X0,X1] : ~ member(X0,image2(X1,empty_set)),
inference(resolution,[],[f66,f65]) ).
fof(f66,plain,
! [X2,X0,X1] :
( member(sK5(X0,X1,X2),X2)
| ~ member(X1,image2(X0,X2)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( member(X1,image2(X0,X2))
| ! [X3] :
( ~ apply(X0,X3,X1)
| ~ member(X3,X2) ) )
& ( ( apply(X0,sK5(X0,X1,X2),X1)
& member(sK5(X0,X1,X2),X2) )
| ~ member(X1,image2(X0,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f54,f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ? [X4] :
( apply(X0,X4,X1)
& member(X4,X2) )
=> ( apply(X0,sK5(X0,X1,X2),X1)
& member(sK5(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( member(X1,image2(X0,X2))
| ! [X3] :
( ~ apply(X0,X3,X1)
| ~ member(X3,X2) ) )
& ( ? [X4] :
( apply(X0,X4,X1)
& member(X4,X2) )
| ~ member(X1,image2(X0,X2)) ) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( member(X1,image2(X0,X2))
| ! [X3] :
( ~ apply(X0,X3,X1)
| ~ member(X3,X2) ) )
& ( ? [X3] :
( apply(X0,X3,X1)
& member(X3,X2) )
| ~ member(X1,image2(X0,X2)) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( member(X1,image2(X0,X2))
<=> ? [X3] :
( apply(X0,X3,X1)
& member(X3,X2) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X5,X4,X0] :
( ? [X2] :
( apply(X5,X2,X4)
& member(X2,X0) )
<=> member(X4,image2(X5,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET762+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 13:43:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.28/0.55 % (15630)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.28/0.55 % (15628)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.28/0.56 % (15646)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.28/0.56 % (15638)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.28/0.56 % (15628)First to succeed.
% 1.28/0.56 % (15638)Also succeeded, but the first one will report.
% 1.28/0.57 % (15636)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.61/0.57 % (15644)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.61/0.57 % (15628)Refutation found. Thanks to Tanya!
% 1.61/0.57 % SZS status Theorem for theBenchmark
% 1.61/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.57 % (15628)------------------------------
% 1.61/0.57 % (15628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (15628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (15628)Termination reason: Refutation
% 1.61/0.57
% 1.61/0.57 % (15628)Memory used [KB]: 6012
% 1.61/0.57 % (15628)Time elapsed: 0.129 s
% 1.61/0.57 % (15628)Instructions burned: 2 (million)
% 1.61/0.57 % (15628)------------------------------
% 1.61/0.57 % (15628)------------------------------
% 1.61/0.57 % (15621)Success in time 0.215 s
%------------------------------------------------------------------------------