TSTP Solution File: SET162+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET162+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 : n002.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 18:19:36 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 12 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 108 ( 46 ~; 36 |; 13 &)
% ( 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 : 63 ( 59 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,plain,
$false,
inference(subsumption_resolution,[],[f54,f32]) ).
fof(f32,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(f54,plain,
member(sK1(sK0,union(sK0,empty_set)),empty_set),
inference(subsumption_resolution,[],[f53,f49]) ).
fof(f49,plain,
~ member(sK1(sK0,union(sK0,empty_set)),sK0),
inference(subsumption_resolution,[],[f47,f43]) ).
fof(f43,plain,
( member(sK1(union(sK0,empty_set),sK0),sK0)
| ~ member(sK1(sK0,union(sK0,empty_set)),sK0) ),
inference(resolution,[],[f42,f38]) ).
fof(f38,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( ~ member(sK1(X0,X1),X0)
& member(sK1(X0,X1),X1) )
| subset(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f21,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(f21,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) )
| subset(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
=> subset(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f42,plain,
( ~ subset(sK0,union(sK0,empty_set))
| ~ member(sK1(sK0,union(sK0,empty_set)),sK0) ),
inference(resolution,[],[f40,f39]) ).
fof(f39,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f40,plain,
( ~ subset(union(sK0,empty_set),sK0)
| ~ subset(sK0,union(sK0,empty_set)) ),
inference(resolution,[],[f33,f37]) ).
fof(f37,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_set(X0,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X1,X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( 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/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f33,plain,
~ equal_set(union(sK0,empty_set),sK0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
~ equal_set(union(sK0,empty_set),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f24]) ).
fof(f24,plain,
( ? [X0] : ~ equal_set(union(X0,empty_set),X0)
=> ~ equal_set(union(sK0,empty_set),sK0) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0] : ~ equal_set(union(X0,empty_set),X0),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0] : equal_set(union(X0,empty_set),X0),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0] : equal_set(union(X0,empty_set),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI18) ).
fof(f47,plain,
( ~ member(sK1(union(sK0,empty_set),sK0),sK0)
| ~ member(sK1(sK0,union(sK0,empty_set)),sK0) ),
inference(resolution,[],[f44,f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( member(X1,union(X0,X2))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( member(X1,X0)
| member(X1,X2)
| ~ member(X1,union(X0,X2)) )
& ( member(X1,union(X0,X2))
| ( ~ member(X1,X0)
& ~ member(X1,X2) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0,X2] :
( ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) ) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X1,X0,X2] :
( ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0,X2] :
( ( member(X0,X1)
| member(X0,X2) )
<=> member(X0,union(X1,X2)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f44,plain,
( ~ member(sK1(union(sK0,empty_set),sK0),union(sK0,empty_set))
| ~ member(sK1(sK0,union(sK0,empty_set)),sK0) ),
inference(resolution,[],[f42,f39]) ).
fof(f53,plain,
( member(sK1(sK0,union(sK0,empty_set)),sK0)
| member(sK1(sK0,union(sK0,empty_set)),empty_set) ),
inference(resolution,[],[f52,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ member(X1,union(X0,X2))
| member(X1,X0)
| member(X1,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f52,plain,
member(sK1(sK0,union(sK0,empty_set)),union(sK0,empty_set)),
inference(subsumption_resolution,[],[f50,f45]) ).
fof(f45,plain,
( member(sK1(union(sK0,empty_set),sK0),sK0)
| member(sK1(sK0,union(sK0,empty_set)),union(sK0,empty_set)) ),
inference(resolution,[],[f41,f38]) ).
fof(f41,plain,
( ~ subset(sK0,union(sK0,empty_set))
| member(sK1(sK0,union(sK0,empty_set)),union(sK0,empty_set)) ),
inference(resolution,[],[f40,f38]) ).
fof(f50,plain,
( member(sK1(sK0,union(sK0,empty_set)),union(sK0,empty_set))
| ~ member(sK1(union(sK0,empty_set),sK0),sK0) ),
inference(resolution,[],[f46,f35]) ).
fof(f46,plain,
( ~ member(sK1(union(sK0,empty_set),sK0),union(sK0,empty_set))
| member(sK1(sK0,union(sK0,empty_set)),union(sK0,empty_set)) ),
inference(resolution,[],[f41,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET162+4 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.13/0.34 % Computer : n002.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 13:36:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (29326)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51 % (29337)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)
% 0.20/0.51 % (29329)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)
% 0.20/0.51 % (29337)Refutation not found, incomplete strategy% (29337)------------------------------
% 0.20/0.51 % (29337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (29326)Refutation not found, incomplete strategy% (29326)------------------------------
% 0.20/0.51 % (29326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (29337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (29337)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (29337)Memory used [KB]: 1407
% 0.20/0.51 % (29337)Time elapsed: 0.060 s
% 0.20/0.51 % (29337)Instructions burned: 1 (million)
% 0.20/0.51 % (29337)------------------------------
% 0.20/0.51 % (29337)------------------------------
% 0.20/0.51 % (29326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (29326)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (29326)Memory used [KB]: 1407
% 0.20/0.51 % (29326)Time elapsed: 0.060 s
% 0.20/0.51 % (29326)Instructions burned: 1 (million)
% 0.20/0.51 % (29326)------------------------------
% 0.20/0.51 % (29326)------------------------------
% 0.20/0.52 % (29329)Instruction limit reached!
% 0.20/0.52 % (29329)------------------------------
% 0.20/0.52 % (29329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (29329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (29329)Termination reason: Unknown
% 0.20/0.52 % (29329)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (29329)Memory used [KB]: 6012
% 0.20/0.52 % (29329)Time elapsed: 0.064 s
% 0.20/0.52 % (29329)Instructions burned: 7 (million)
% 0.20/0.52 % (29329)------------------------------
% 0.20/0.52 % (29329)------------------------------
% 0.20/0.52 % (29319)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)
% 0.20/0.52 % (29319)First to succeed.
% 0.20/0.52 % (29318)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (29318)Also succeeded, but the first one will report.
% 0.20/0.53 % (29319)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (29319)------------------------------
% 0.20/0.53 % (29319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (29319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (29319)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (29319)Memory used [KB]: 1407
% 0.20/0.53 % (29319)Time elapsed: 0.115 s
% 0.20/0.53 % (29319)Instructions burned: 1 (million)
% 0.20/0.53 % (29319)------------------------------
% 0.20/0.53 % (29319)------------------------------
% 0.20/0.53 % (29313)Success in time 0.17 s
%------------------------------------------------------------------------------