TSTP Solution File: SET125-6 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET125-6 : 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 : n027.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 18:19:26 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 26 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 8 |; 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 : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f131,plain,
$false,
inference(subsumption_resolution,[],[f129,f93]) ).
fof(f93,axiom,
member(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_builder_alternate_defn3_1) ).
fof(f129,plain,
~ member(x,z),
inference(resolution,[],[f126,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f126,plain,
member(x,complement(z)),
inference(resolution,[],[f125,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f125,plain,
member(x,intersection(complement(singleton(y)),complement(z))),
inference(subsumption_resolution,[],[f124,f103]) ).
fof(f103,plain,
member(x,universal_class),
inference(resolution,[],[f98,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f98,plain,
! [X0] :
( ~ subclass(z,X0)
| member(x,X0) ),
inference(resolution,[],[f93,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f124,plain,
( member(x,intersection(complement(singleton(y)),complement(z)))
| ~ member(x,universal_class) ),
inference(resolution,[],[f104,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| ~ member(X4,universal_class)
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f104,plain,
~ member(x,complement(intersection(complement(singleton(y)),complement(z)))),
inference(superposition,[],[f99,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f99,plain,
~ member(x,union(singleton(y),z)),
inference(superposition,[],[f94,f92]) ).
fof(f92,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_set_builder) ).
fof(f94,axiom,
~ member(x,set_builder(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_builder_alternate_defn3_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET125-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % 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 : n027.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 13:35:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.52 % (11810)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (11808)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (11802)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.52 % (11813)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.52 % (11806)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53 % (11805)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)
% 0.21/0.53 % (11805)Refutation not found, incomplete strategy% (11805)------------------------------
% 0.21/0.53 % (11805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11805)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (11805)Memory used [KB]: 5884
% 0.21/0.53 % (11805)Time elapsed: 0.121 s
% 0.21/0.53 % (11805)Instructions burned: 2 (million)
% 0.21/0.53 % (11805)------------------------------
% 0.21/0.53 % (11805)------------------------------
% 0.21/0.53 % (11821)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.53 % (11804)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)
% 0.21/0.53 % (11810)First to succeed.
% 0.21/0.53 % (11804)Refutation not found, incomplete strategy% (11804)------------------------------
% 0.21/0.53 % (11804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11810)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (11810)------------------------------
% 0.21/0.53 % (11810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11810)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (11810)Memory used [KB]: 6012
% 0.21/0.53 % (11810)Time elapsed: 0.122 s
% 0.21/0.53 % (11810)Instructions burned: 3 (million)
% 0.21/0.53 % (11810)------------------------------
% 0.21/0.53 % (11810)------------------------------
% 0.21/0.53 % (11800)Success in time 0.178 s
%------------------------------------------------------------------------------