TSTP Solution File: SET014-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET014-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n028.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 18:18:22 EDT 2022
% Result : Unsatisfiable 1.28s 0.53s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 14 unt; 0 def)
% Number of atoms : 46 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 23 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f330,plain,
$false,
inference(subsumption_resolution,[],[f328,f189]) ).
fof(f189,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z),
inference(resolution,[],[f3,f141]) ).
fof(f141,plain,
~ subclass(complement(intersection(complement(x),complement(y))),z),
inference(definition_unfolding,[],[f115,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f115,axiom,
~ subclass(union(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_least_upper_bound_3) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f328,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z),
inference(resolution,[],[f327,f212]) ).
fof(f212,plain,
! [X25] :
( ~ member(X25,x)
| member(X25,z) ),
inference(resolution,[],[f1,f113]) ).
fof(f113,axiom,
subclass(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_least_upper_bound_1) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f327,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),x),
inference(subsumption_resolution,[],[f326,f221]) ).
fof(f221,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class),
inference(resolution,[],[f201,f187]) ).
fof(f187,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(intersection(complement(x),complement(y)))),
inference(resolution,[],[f2,f141]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f201,plain,
! [X8,X9] :
( ~ member(X8,X9)
| member(X8,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f326,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),x) ),
inference(resolution,[],[f325,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| ~ member(X4,universal_class)
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f325,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x)),
inference(subsumption_resolution,[],[f323,f189]) ).
fof(f323,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z) ),
inference(resolution,[],[f322,f213]) ).
fof(f213,plain,
! [X26] :
( ~ member(X26,y)
| member(X26,z) ),
inference(resolution,[],[f1,f114]) ).
fof(f114,axiom,
subclass(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_least_upper_bound_2) ).
fof(f322,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),y)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x)) ),
inference(subsumption_resolution,[],[f321,f221]) ).
fof(f321,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),y) ),
inference(resolution,[],[f317,f25]) ).
fof(f317,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(y))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x)) ),
inference(resolution,[],[f23,f188]) ).
fof(f188,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),intersection(complement(x),complement(y))),
inference(resolution,[],[f187,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET014-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 13:01:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (5169)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50 % (5169)Instruction limit reached!
% 0.20/0.50 % (5169)------------------------------
% 0.20/0.50 % (5169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (5169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (5169)Termination reason: Unknown
% 0.20/0.50 % (5169)Termination phase: Function definition elimination
% 0.20/0.50
% 0.20/0.50 % (5169)Memory used [KB]: 1407
% 0.20/0.50 % (5169)Time elapsed: 0.003 s
% 0.20/0.50 % (5169)Instructions burned: 3 (million)
% 0.20/0.50 % (5169)------------------------------
% 0.20/0.50 % (5169)------------------------------
% 0.20/0.50 % (5174)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.50 % (5177)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.50 % (5162)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50 % (5177)Refutation not found, incomplete strategy% (5177)------------------------------
% 0.20/0.50 % (5177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (5177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (5177)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (5177)Memory used [KB]: 5884
% 0.20/0.50 % (5177)Time elapsed: 0.082 s
% 0.20/0.50 % (5177)Instructions burned: 2 (million)
% 0.20/0.50 % (5177)------------------------------
% 0.20/0.50 % (5177)------------------------------
% 1.28/0.53 % (5160)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.28/0.53 % (5160)Refutation not found, incomplete strategy% (5160)------------------------------
% 1.28/0.53 % (5160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (5160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (5160)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.53
% 1.28/0.53 % (5160)Memory used [KB]: 5884
% 1.28/0.53 % (5160)Time elapsed: 0.123 s
% 1.28/0.53 % (5160)------------------------------
% 1.28/0.53 % (5160)------------------------------
% 1.28/0.53 % (5162)First to succeed.
% 1.28/0.53 % (5174)Refutation not found, incomplete strategy% (5174)------------------------------
% 1.28/0.53 % (5174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (5182)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.28/0.53 % (5158)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.28/0.53 % (5174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (5174)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.53 % (5159)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.28/0.53
% 1.28/0.53 % (5162)Refutation found. Thanks to Tanya!
% 1.28/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.28/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.53 % (5162)------------------------------
% 1.28/0.53 % (5162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (5162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (5162)Termination reason: Refutation
% 1.28/0.53
% 1.28/0.53 % (5162)Memory used [KB]: 1663
% 1.28/0.53 % (5162)Time elapsed: 0.061 s
% 1.28/0.53 % (5162)Instructions burned: 13 (million)
% 1.28/0.53 % (5162)------------------------------
% 1.28/0.53 % (5162)------------------------------
% 1.28/0.53 % (5154)Success in time 0.182 s
%------------------------------------------------------------------------------