TSTP Solution File: SET764+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET764+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 : n018.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 18:22:10 EDT 2022
% Result : Theorem 1.82s 0.60s
% Output : Refutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 94 ( 34 ~; 22 |; 21 &)
% ( 6 <=>; 11 =>; 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 : 87 ( 74 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,plain,
$false,
inference(resolution,[],[f82,f62]) ).
fof(f62,plain,
~ equal_set(inverse_image2(sK2,empty_set),empty_set),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ~ equal_set(inverse_image2(sK2,empty_set),empty_set)
& maps(sK2,sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f42,f48]) ).
fof(f48,plain,
( ? [X0,X1,X2] :
( ~ equal_set(inverse_image2(X1,empty_set),empty_set)
& maps(X1,X0,X2) )
=> ( ~ equal_set(inverse_image2(sK2,empty_set),empty_set)
& maps(sK2,sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0,X1,X2] :
( ~ equal_set(inverse_image2(X1,empty_set),empty_set)
& maps(X1,X0,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X2,X0,X1] :
( maps(X1,X0,X2)
=> equal_set(inverse_image2(X1,empty_set),empty_set) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0,X5,X1] :
( maps(X5,X0,X1)
=> equal_set(inverse_image2(X5,empty_set),empty_set) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0,X5,X1] :
( maps(X5,X0,X1)
=> equal_set(inverse_image2(X5,empty_set),empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIIa14) ).
fof(f82,plain,
! [X2] : equal_set(inverse_image2(X2,empty_set),empty_set),
inference(resolution,[],[f79,f73]) ).
fof(f73,plain,
! [X0] :
( ~ subset(X0,empty_set)
| equal_set(X0,empty_set) ),
inference(resolution,[],[f66,f70]) ).
fof(f70,plain,
! [X0] : subset(empty_set,X0),
inference(resolution,[],[f58,f60]) ).
fof(f60,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set) ).
fof(f58,plain,
! [X0,X1] :
( member(sK0(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( subset(X1,X0)
| ( ~ member(sK0(X0,X1),X0)
& member(sK0(X0,X1),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f45,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) )
=> ( ~ member(sK0(X0,X1),X0)
& member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
=> subset(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f66,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| equal_set(X0,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_set(X0,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X1,X0) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> equal_set(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f79,plain,
! [X0,X1] : subset(inverse_image2(X0,empty_set),X1),
inference(resolution,[],[f78,f58]) ).
fof(f78,plain,
! [X0,X1] : ~ member(X0,inverse_image2(X1,empty_set)),
inference(resolution,[],[f67,f60]) ).
fof(f67,plain,
! [X2,X0,X1] :
( member(sK5(X0,X1,X2),X0)
| ~ member(X1,inverse_image2(X2,X0)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( member(X1,inverse_image2(X2,X0))
| ! [X3] :
( ~ apply(X2,X1,X3)
| ~ member(X3,X0) ) )
& ( ( apply(X2,X1,sK5(X0,X1,X2))
& member(sK5(X0,X1,X2),X0) )
| ~ member(X1,inverse_image2(X2,X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f55,f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ? [X4] :
( apply(X2,X1,X4)
& member(X4,X0) )
=> ( apply(X2,X1,sK5(X0,X1,X2))
& member(sK5(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( member(X1,inverse_image2(X2,X0))
| ! [X3] :
( ~ apply(X2,X1,X3)
| ~ member(X3,X0) ) )
& ( ? [X4] :
( apply(X2,X1,X4)
& member(X4,X0) )
| ~ member(X1,inverse_image2(X2,X0)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( member(X1,inverse_image2(X2,X0))
| ! [X3] :
( ~ apply(X2,X1,X3)
| ~ member(X3,X0) ) )
& ( ? [X3] :
( apply(X2,X1,X3)
& member(X3,X0) )
| ~ member(X1,inverse_image2(X2,X0)) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( member(X1,inverse_image2(X2,X0))
<=> ? [X3] :
( apply(X2,X1,X3)
& member(X3,X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X1,X2,X5] :
( member(X2,inverse_image2(X5,X1))
<=> ? [X4] :
( member(X4,X1)
& apply(X5,X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_image2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.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 Aug 30 14:23:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.68/0.57 % (25713)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.68/0.58 % (25720)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.68/0.58 % (25718)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)
% 1.68/0.58 % (25712)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.68/0.58 % (25715)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.68/0.58 % (25713)Refutation not found, incomplete strategy% (25713)------------------------------
% 1.68/0.58 % (25713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.58 % (25713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.58 % (25713)Termination reason: Refutation not found, incomplete strategy
% 1.68/0.58
% 1.68/0.58 % (25713)Memory used [KB]: 6012
% 1.68/0.58 % (25713)Time elapsed: 0.157 s
% 1.68/0.58 % (25713)Instructions burned: 2 (million)
% 1.68/0.58 % (25713)------------------------------
% 1.68/0.58 % (25713)------------------------------
% 1.68/0.58 % (25730)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.68/0.58 % (25712)Instruction limit reached!
% 1.68/0.58 % (25712)------------------------------
% 1.68/0.58 % (25712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.58 % (25712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.58 % (25712)Termination reason: Unknown
% 1.68/0.58 % (25712)Termination phase: Property scanning
% 1.68/0.58
% 1.68/0.58 % (25712)Memory used [KB]: 1535
% 1.68/0.58 % (25712)Time elapsed: 0.003 s
% 1.68/0.58 % (25712)Instructions burned: 3 (million)
% 1.68/0.58 % (25712)------------------------------
% 1.68/0.58 % (25712)------------------------------
% 1.68/0.58 % (25711)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.68/0.59 % (25738)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.68/0.59 % (25719)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.68/0.59 % (25710)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.68/0.59 % (25732)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)
% 1.68/0.59 % (25719)Refutation not found, incomplete strategy% (25719)------------------------------
% 1.68/0.59 % (25719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.59 % (25719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.59 % (25719)Termination reason: Refutation not found, incomplete strategy
% 1.68/0.59
% 1.68/0.59 % (25719)Memory used [KB]: 6012
% 1.68/0.59 % (25719)Time elapsed: 0.167 s
% 1.68/0.59 % (25719)Instructions burned: 2 (million)
% 1.68/0.59 % (25719)------------------------------
% 1.68/0.59 % (25719)------------------------------
% 1.82/0.60 % (25739)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.82/0.60 % (25733)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.82/0.60 % (25716)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)
% 1.82/0.60 % (25726)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)
% 1.82/0.60 % (25716)First to succeed.
% 1.82/0.60 % (25720)Refutation not found, incomplete strategy% (25720)------------------------------
% 1.82/0.60 % (25720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (25729)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.82/0.60 % (25720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (25720)Termination reason: Refutation not found, incomplete strategy
% 1.82/0.60
% 1.82/0.60 % (25720)Memory used [KB]: 6012
% 1.82/0.60 % (25720)Time elapsed: 0.175 s
% 1.82/0.60 % (25720)Instructions burned: 3 (million)
% 1.82/0.60 % (25720)------------------------------
% 1.82/0.60 % (25720)------------------------------
% 1.82/0.60 % (25716)Refutation found. Thanks to Tanya!
% 1.82/0.60 % SZS status Theorem for theBenchmark
% 1.82/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.82/0.60 % (25716)------------------------------
% 1.82/0.60 % (25716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (25716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (25716)Termination reason: Refutation
% 1.82/0.60
% 1.82/0.60 % (25716)Memory used [KB]: 6012
% 1.82/0.60 % (25716)Time elapsed: 0.175 s
% 1.82/0.60 % (25716)Instructions burned: 2 (million)
% 1.82/0.60 % (25716)------------------------------
% 1.82/0.60 % (25716)------------------------------
% 1.82/0.60 % (25709)Success in time 0.243 s
%------------------------------------------------------------------------------