TSTP Solution File: SET012+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET012+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 : n006.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 18:18:20 EDT 2022
% Result : Theorem 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 54 ( 5 unt; 0 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 140 ( 54 ~; 49 |; 22 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 74 ( 65 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f97,f133]) ).
fof(f133,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f132]) ).
fof(f132,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f126,f117]) ).
fof(f117,plain,
( ~ member(sK0(difference(sK1,difference(sK1,sK2)),sK2),difference(sK1,sK2))
| spl3_2 ),
inference(unit_resulting_resolution,[],[f105,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X1,X0))
| ~ member(X2,X1)
| member(X2,X0) )
& ( ( member(X2,X1)
& ~ member(X2,X0) )
| ~ member(X2,difference(X1,X0)) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X1,X0))
| ~ member(X2,X1)
| member(X2,X0) )
& ( ( member(X2,X1)
& ~ member(X2,X0) )
| ~ member(X2,difference(X1,X0)) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( member(X2,difference(X1,X0))
<=> ( member(X2,X1)
& ~ member(X2,X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X3,X1] :
( ( ~ member(X1,X0)
& member(X1,X3) )
<=> member(X1,difference(X3,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
fof(f105,plain,
( member(sK0(difference(sK1,difference(sK1,sK2)),sK2),difference(sK1,difference(sK1,sK2)))
| spl3_2 ),
inference(resolution,[],[f55,f32]) ).
fof(f32,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f23,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,[],[f22]) ).
fof(f22,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,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[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(f55,plain,
( ~ subset(difference(sK1,difference(sK1,sK2)),sK2)
| spl3_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl3_2
<=> subset(difference(sK1,difference(sK1,sK2)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f126,plain,
( member(sK0(difference(sK1,difference(sK1,sK2)),sK2),difference(sK1,sK2))
| spl3_2 ),
inference(unit_resulting_resolution,[],[f102,f116,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( member(X2,X0)
| ~ member(X2,X1)
| member(X2,difference(X1,X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f116,plain,
( member(sK0(difference(sK1,difference(sK1,sK2)),sK2),sK1)
| spl3_2 ),
inference(unit_resulting_resolution,[],[f105,f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,difference(X1,X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f102,plain,
( ~ member(sK0(difference(sK1,difference(sK1,sK2)),sK2),sK2)
| spl3_2 ),
inference(unit_resulting_resolution,[],[f55,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f97,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f96]) ).
fof(f96,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f95,f67]) ).
fof(f67,plain,
( member(sK0(sK2,difference(sK1,difference(sK1,sK2))),sK1)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f60,f40]) ).
fof(f40,plain,
! [X0] :
( member(X0,sK1)
| ~ member(X0,sK2) ),
inference(resolution,[],[f34,f31]) ).
fof(f31,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| ~ subset(X0,X1)
| member(X3,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f34,plain,
subset(sK2,sK1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ~ equal_set(difference(sK1,difference(sK1,sK2)),sK2)
& subset(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] :
( ~ equal_set(difference(X0,difference(X0,X1)),X1)
& subset(X1,X0) )
=> ( ~ equal_set(difference(sK1,difference(sK1,sK2)),sK2)
& subset(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] :
( ~ equal_set(difference(X0,difference(X0,X1)),X1)
& subset(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
? [X1,X0] :
( ~ equal_set(difference(X1,difference(X1,X0)),X0)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1] :
( subset(X0,X1)
=> equal_set(difference(X1,difference(X1,X0)),X0) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X3] :
( subset(X0,X3)
=> equal_set(difference(X3,difference(X3,X0)),X0) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X3] :
( subset(X0,X3)
=> equal_set(difference(X3,difference(X3,X0)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI23) ).
fof(f60,plain,
( member(sK0(sK2,difference(sK1,difference(sK1,sK2))),sK2)
| spl3_1 ),
inference(resolution,[],[f51,f32]) ).
fof(f51,plain,
( ~ subset(sK2,difference(sK1,difference(sK1,sK2)))
| spl3_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl3_1
<=> subset(sK2,difference(sK1,difference(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f95,plain,
( ~ member(sK0(sK2,difference(sK1,difference(sK1,sK2))),sK1)
| spl3_1 ),
inference(subsumption_resolution,[],[f89,f68]) ).
fof(f68,plain,
( ! [X0] : ~ member(sK0(sK2,difference(sK1,difference(sK1,sK2))),difference(X0,sK2))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f60,f37]) ).
fof(f89,plain,
( member(sK0(sK2,difference(sK1,difference(sK1,sK2))),difference(sK1,sK2))
| ~ member(sK0(sK2,difference(sK1,difference(sK1,sK2))),sK1)
| spl3_1 ),
inference(resolution,[],[f57,f39]) ).
fof(f57,plain,
( ~ member(sK0(sK2,difference(sK1,difference(sK1,sK2))),difference(sK1,difference(sK1,sK2)))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f51,f33]) ).
fof(f56,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f47,f53,f49]) ).
fof(f47,plain,
( ~ subset(difference(sK1,difference(sK1,sK2)),sK2)
| ~ subset(sK2,difference(sK1,difference(sK1,sK2))) ),
inference(resolution,[],[f35,f36]) ).
fof(f36,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| equal_set(X1,X0)
| ~ subset(X1,X0) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( equal_set(X1,X0)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
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(f35,plain,
~ equal_set(difference(sK1,difference(sK1,sK2)),sK2),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET012+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.30 % Computer : n006.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 12:50:55 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.44 % (10314)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)
% 0.16/0.46 % (10305)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)
% 0.16/0.46 % (10314)Instruction limit reached!
% 0.16/0.46 % (10314)------------------------------
% 0.16/0.46 % (10314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.46 % (10314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.46 % (10314)Termination reason: Unknown
% 0.16/0.46 % (10314)Termination phase: Saturation
% 0.16/0.46
% 0.16/0.46 % (10314)Memory used [KB]: 5884
% 0.16/0.46 % (10314)Time elapsed: 0.096 s
% 0.16/0.46 % (10314)Instructions burned: 3 (million)
% 0.16/0.46 % (10314)------------------------------
% 0.16/0.46 % (10314)------------------------------
% 0.16/0.46 % (10323)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)
% 0.16/0.46 % (10315)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)
% 0.16/0.47 % (10306)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.47 % (10323)Refutation not found, incomplete strategy% (10323)------------------------------
% 0.16/0.47 % (10323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (10315)Instruction limit reached!
% 0.16/0.48 % (10315)------------------------------
% 0.16/0.48 % (10315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (10323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (10323)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.48
% 0.16/0.48 % (10323)Memory used [KB]: 1407
% 0.16/0.48 % (10323)Time elapsed: 0.059 s
% 0.16/0.48 % (10323)Instructions burned: 1 (million)
% 0.16/0.48 % (10323)------------------------------
% 0.16/0.48 % (10323)------------------------------
% 0.16/0.48 % (10315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (10315)Termination reason: Unknown
% 0.16/0.48 % (10315)Termination phase: Saturation
% 0.16/0.48
% 0.16/0.48 % (10315)Memory used [KB]: 6012
% 0.16/0.48 % (10315)Time elapsed: 0.073 s
% 0.16/0.48 % (10315)Instructions burned: 7 (million)
% 0.16/0.48 % (10315)------------------------------
% 0.16/0.48 % (10315)------------------------------
% 0.16/0.48 % (10306)First to succeed.
% 0.16/0.48 % (10306)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Theorem for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (10306)------------------------------
% 0.16/0.48 % (10306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (10306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (10306)Termination reason: Refutation
% 0.16/0.48
% 0.16/0.48 % (10306)Memory used [KB]: 5884
% 0.16/0.48 % (10306)Time elapsed: 0.074 s
% 0.16/0.49 % (10306)Instructions burned: 3 (million)
% 0.16/0.49 % (10306)------------------------------
% 0.16/0.49 % (10306)------------------------------
% 0.16/0.49 % (10298)Success in time 0.17 s
%------------------------------------------------------------------------------