TSTP Solution File: SET602+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET602+4 : TPTP v8.1.0. Released v2.2.0.
% 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 : 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 18:21:34 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 79 ( 34 ~; 18 |; 14 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 56 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,plain,
$false,
inference(subsumption_resolution,[],[f59,f58]) ).
fof(f58,plain,
~ member(sK1(difference(sK0,sK0),empty_set),sK0),
inference(unit_resulting_resolution,[],[f56,f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( ( ~ member(X2,X0)
& member(X2,X1) )
| ~ member(X2,difference(X1,X0)) )
& ( member(X2,difference(X1,X0))
| member(X2,X0)
| ~ member(X2,X1) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( ( ~ member(X2,X0)
& member(X2,X1) )
| ~ member(X2,difference(X1,X0)) )
& ( member(X2,difference(X1,X0))
| member(X2,X0)
| ~ member(X2,X1) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( ~ member(X2,X0)
& member(X2,X1) )
<=> member(X2,difference(X1,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X3,X1] :
( member(X1,difference(X3,X0))
<=> ( member(X1,X3)
& ~ member(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
fof(f56,plain,
member(sK1(difference(sK0,sK0),empty_set),difference(sK0,sK0)),
inference(unit_resulting_resolution,[],[f46,f39]) ).
fof(f39,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( member(sK1(X0,X1),X0)
& ~ member(sK1(X0,X1),X1) )
| subset(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f29,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
=> ( member(sK1(X0,X1),X0)
& ~ member(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) )
| subset(X1,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
=> subset(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f46,plain,
~ subset(difference(sK0,sK0),empty_set),
inference(unit_resulting_resolution,[],[f37,f43,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X1,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| equal_set(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> equal_set(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f43,plain,
! [X0] : subset(empty_set,X0),
inference(unit_resulting_resolution,[],[f36,f39]) ).
fof(f36,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f16]) ).
fof(f16,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(f37,plain,
~ equal_set(difference(sK0,sK0),empty_set),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
~ equal_set(difference(sK0,sK0),empty_set),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f27]) ).
fof(f27,plain,
( ? [X0] : ~ equal_set(difference(X0,X0),empty_set)
=> ~ equal_set(difference(sK0,sK0),empty_set) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0] : ~ equal_set(difference(X0,X0),empty_set),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] : equal_set(difference(X0,X0),empty_set),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X3] : equal_set(difference(X3,X3),empty_set),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X3] : equal_set(difference(X3,X3),empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI29) ).
fof(f59,plain,
member(sK1(difference(sK0,sK0),empty_set),sK0),
inference(unit_resulting_resolution,[],[f56,f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| member(X2,X1) ),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET602+4 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:49:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (8889)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (8891)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (8878)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)
% 0.19/0.50 % (8878)Refutation not found, incomplete strategy% (8878)------------------------------
% 0.19/0.50 % (8878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (8878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (8878)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (8878)Memory used [KB]: 5884
% 0.19/0.50 % (8878)Time elapsed: 0.110 s
% 0.19/0.50 % (8878)Instructions burned: 2 (million)
% 0.19/0.50 % (8878)------------------------------
% 0.19/0.50 % (8878)------------------------------
% 0.19/0.50 % (8876)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (8891)Instruction limit reached!
% 0.19/0.51 % (8891)------------------------------
% 0.19/0.51 % (8891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (8891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (8891)Termination reason: Unknown
% 0.19/0.51 % (8891)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (8891)Memory used [KB]: 6012
% 0.19/0.51 % (8891)Time elapsed: 0.106 s
% 0.19/0.51 % (8891)Instructions burned: 8 (million)
% 0.19/0.51 % (8891)------------------------------
% 0.19/0.51 % (8891)------------------------------
% 0.19/0.51 % (8898)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)
% 0.19/0.51 % (8894)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (8889)First to succeed.
% 0.19/0.51 % (8894)Refutation not found, incomplete strategy% (8894)------------------------------
% 0.19/0.51 % (8894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8889)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (8889)------------------------------
% 0.19/0.52 % (8889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8889)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (8889)Memory used [KB]: 5884
% 0.19/0.52 % (8889)Time elapsed: 0.113 s
% 0.19/0.52 % (8889)Instructions burned: 1 (million)
% 0.19/0.52 % (8889)------------------------------
% 0.19/0.52 % (8889)------------------------------
% 0.19/0.52 % (8874)Success in time 0.164 s
%------------------------------------------------------------------------------