TSTP Solution File: SEU327+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU327+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n024.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 18:28:47 EDT 2022
% Result : Theorem 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 20 unt; 0 def)
% Number of atoms : 104 ( 56 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 95 ( 42 ~; 24 |; 14 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 70 ( 62 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f673,plain,
$false,
inference(subsumption_resolution,[],[f640,f664]) ).
fof(f664,plain,
set_difference(sK0,union(sK1)) != subset_complement(sK0,union(sK1)),
inference(backward_demodulation,[],[f353,f663]) ).
fof(f663,plain,
set_difference(sK0,union(sK1)) = meet_of_subsets(sK0,complements_of_subsets(sK0,sK1)),
inference(backward_demodulation,[],[f352,f662]) ).
fof(f662,plain,
set_difference(sK0,union(sK1)) = subset_difference(sK0,sK0,union(sK1)),
inference(forward_demodulation,[],[f628,f218]) ).
fof(f218,plain,
! [X0] : cast_to_subset(X0) = X0,
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] : cast_to_subset(X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_subset_1) ).
fof(f628,plain,
subset_difference(sK0,cast_to_subset(sK0),union(sK1)) = set_difference(cast_to_subset(sK0),union(sK1)),
inference(unit_resulting_resolution,[],[f162,f384,f188]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(X2))
| ~ element(X1,powerset(X2))
| subset_difference(X2,X1,X0) = set_difference(X1,X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ~ element(X0,powerset(X2))
| subset_difference(X2,X1,X0) = set_difference(X1,X0)
| ~ element(X1,powerset(X2)) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(X1))
| set_difference(X0,X2) = subset_difference(X1,X0,X2)
| ~ element(X0,powerset(X1)) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X1,X0,X2] :
( set_difference(X0,X2) = subset_difference(X1,X0,X2)
| ~ element(X2,powerset(X1))
| ~ element(X0,powerset(X1)) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0,X2] :
( ( element(X2,powerset(X1))
& element(X0,powerset(X1)) )
=> set_difference(X0,X2) = subset_difference(X1,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X1,X0,X2] :
( ( element(X2,powerset(X0))
& element(X1,powerset(X0)) )
=> subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).
fof(f384,plain,
element(union(sK1),powerset(sK0)),
inference(forward_demodulation,[],[f254,f279]) ).
fof(f279,plain,
union(sK1) = union_of_subsets(sK0,sK1),
inference(resolution,[],[f160,f225]) ).
fof(f225,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| union_of_subsets(X1,X0) = union(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( union_of_subsets(X1,X0) = union(X0)
| ~ element(X0,powerset(powerset(X1))) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X1,X0] :
( union_of_subsets(X0,X1) = union(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X1,X0] :
( element(X1,powerset(powerset(X0)))
=> union_of_subsets(X0,X1) = union(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f160,plain,
element(sK1,powerset(powerset(sK0))),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( meet_of_subsets(sK0,complements_of_subsets(sK0,sK1)) != subset_complement(sK0,union_of_subsets(sK0,sK1))
& element(sK1,powerset(powerset(sK0)))
& empty_set != sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f132,f133]) ).
fof(f133,plain,
( ? [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) != subset_complement(X0,union_of_subsets(X0,X1))
& element(X1,powerset(powerset(X0)))
& empty_set != X1 )
=> ( meet_of_subsets(sK0,complements_of_subsets(sK0,sK1)) != subset_complement(sK0,union_of_subsets(sK0,sK1))
& element(sK1,powerset(powerset(sK0)))
& empty_set != sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
? [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) != subset_complement(X0,union_of_subsets(X0,X1))
& element(X1,powerset(powerset(X0)))
& empty_set != X1 ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
? [X1,X0] :
( meet_of_subsets(X1,complements_of_subsets(X1,X0)) != subset_complement(X1,union_of_subsets(X1,X0))
& element(X0,powerset(powerset(X1)))
& empty_set != X0 ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
? [X0,X1] :
( meet_of_subsets(X1,complements_of_subsets(X1,X0)) != subset_complement(X1,union_of_subsets(X1,X0))
& empty_set != X0
& element(X0,powerset(powerset(X1))) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
~ ! [X0,X1] :
( element(X0,powerset(powerset(X1)))
=> ( empty_set != X0
=> meet_of_subsets(X1,complements_of_subsets(X1,X0)) = subset_complement(X1,union_of_subsets(X1,X0)) ) ),
inference(rectify,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X1,X0] :
( element(X1,powerset(powerset(X0)))
=> ( empty_set != X1
=> meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_complement(X0,union_of_subsets(X0,X1)) ) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X1,X0] :
( element(X1,powerset(powerset(X0)))
=> ( empty_set != X1
=> meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_complement(X0,union_of_subsets(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_tops_2) ).
fof(f254,plain,
element(union_of_subsets(sK0,sK1),powerset(sK0)),
inference(unit_resulting_resolution,[],[f160,f232]) ).
fof(f232,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| element(union_of_subsets(X1,X0),powerset(X1)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| element(union_of_subsets(X1,X0),powerset(X1)) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( element(X0,powerset(powerset(X1)))
=> element(union_of_subsets(X1,X0),powerset(X1)) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X1,X0] :
( element(X1,powerset(powerset(X0)))
=> element(union_of_subsets(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(f162,plain,
! [X0] : element(cast_to_subset(X0),powerset(X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] : element(cast_to_subset(X0),powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_subset_1) ).
fof(f352,plain,
meet_of_subsets(sK0,complements_of_subsets(sK0,sK1)) = subset_difference(sK0,sK0,union(sK1)),
inference(backward_demodulation,[],[f347,f279]) ).
fof(f347,plain,
subset_difference(sK0,sK0,union_of_subsets(sK0,sK1)) = meet_of_subsets(sK0,complements_of_subsets(sK0,sK1)),
inference(forward_demodulation,[],[f253,f218]) ).
fof(f253,plain,
subset_difference(sK0,cast_to_subset(sK0),union_of_subsets(sK0,sK1)) = meet_of_subsets(sK0,complements_of_subsets(sK0,sK1)),
inference(unit_resulting_resolution,[],[f159,f160,f229]) ).
fof(f229,plain,
! [X0,X1] :
( subset_difference(X1,cast_to_subset(X1),union_of_subsets(X1,X0)) = meet_of_subsets(X1,complements_of_subsets(X1,X0))
| ~ element(X0,powerset(powerset(X1)))
| empty_set = X0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( empty_set = X0
| ~ element(X0,powerset(powerset(X1)))
| subset_difference(X1,cast_to_subset(X1),union_of_subsets(X1,X0)) = meet_of_subsets(X1,complements_of_subsets(X1,X0)) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X1,X0] :
( empty_set = X1
| ~ element(X1,powerset(powerset(X0)))
| meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_difference(X0,cast_to_subset(X0),union_of_subsets(X0,X1)) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_difference(X0,cast_to_subset(X0),union_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( empty_set != X1
=> meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_difference(X0,cast_to_subset(X0),union_of_subsets(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_setfam_1) ).
fof(f159,plain,
empty_set != sK1,
inference(cnf_transformation,[],[f134]) ).
fof(f353,plain,
subset_complement(sK0,union(sK1)) != meet_of_subsets(sK0,complements_of_subsets(sK0,sK1)),
inference(backward_demodulation,[],[f161,f279]) ).
fof(f161,plain,
meet_of_subsets(sK0,complements_of_subsets(sK0,sK1)) != subset_complement(sK0,union_of_subsets(sK0,sK1)),
inference(cnf_transformation,[],[f134]) ).
fof(f640,plain,
set_difference(sK0,union(sK1)) = subset_complement(sK0,union(sK1)),
inference(resolution,[],[f384,f183]) ).
fof(f183,plain,
! [X0,X1] :
( subset_complement(X1,X0) = set_difference(X1,X0)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset_complement(X1,X0) = set_difference(X1,X0) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X1,X0] :
( ~ element(X1,powerset(X0))
| subset_complement(X0,X1) = set_difference(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( element(X1,powerset(X0))
=> subset_complement(X0,X1) = set_difference(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_subset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU327+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 15:14:04 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.52 % (32519)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)
% 0.21/0.52 % (32503)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)
% 0.21/0.53 % (32505)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)
% 0.21/0.53 % (32504)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)
% 0.21/0.54 % (32511)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)
% 0.21/0.54 % (32511)Instruction limit reached!
% 0.21/0.54 % (32511)------------------------------
% 0.21/0.54 % (32511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (32513)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)
% 0.21/0.54 % (32511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (32511)Termination reason: Unknown
% 0.21/0.54 % (32511)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (32511)Memory used [KB]: 6012
% 0.21/0.54 % (32511)Time elapsed: 0.004 s
% 0.21/0.54 % (32511)Instructions burned: 3 (million)
% 0.21/0.54 % (32511)------------------------------
% 0.21/0.54 % (32511)------------------------------
% 0.21/0.54 % (32497)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54 % (32512)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)
% 0.21/0.55 % (32521)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)
% 0.21/0.55 % (32499)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)
% 0.21/0.55 % (32502)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)
% 0.21/0.55 % (32512)Instruction limit reached!
% 0.21/0.55 % (32512)------------------------------
% 0.21/0.55 % (32512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (32512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (32512)Termination reason: Unknown
% 0.21/0.55 % (32512)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (32512)Memory used [KB]: 6140
% 0.21/0.55 % (32512)Time elapsed: 0.135 s
% 0.21/0.55 % (32512)Instructions burned: 8 (million)
% 0.21/0.55 % (32512)------------------------------
% 0.21/0.55 % (32512)------------------------------
% 0.21/0.55 % (32525)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)
% 0.21/0.55 % (32507)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)
% 0.21/0.55 % (32524)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.56 % (32526)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)
% 0.21/0.56 % (32522)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.56 % (32506)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)
% 0.21/0.56 % (32501)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)
% 0.21/0.56 % (32500)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)
% 0.21/0.56 % (32504)First to succeed.
% 0.21/0.56 % (32523)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56 % (32504)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Theorem for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (32504)------------------------------
% 0.21/0.56 % (32504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (32504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (32504)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (32504)Memory used [KB]: 6268
% 0.21/0.56 % (32504)Time elapsed: 0.143 s
% 0.21/0.56 % (32504)Instructions burned: 14 (million)
% 0.21/0.56 % (32504)------------------------------
% 0.21/0.56 % (32504)------------------------------
% 0.21/0.56 % (32496)Success in time 0.203 s
%------------------------------------------------------------------------------