TSTP Solution File: SEU317+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU317+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 : n023.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 18:28:42 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 11 unt; 0 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 199 ( 75 ~; 63 |; 39 &)
% ( 7 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 84 ( 72 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,plain,
$false,
inference(subsumption_resolution,[],[f122,f107]) ).
fof(f107,plain,
~ in(sK3(topstr_closure(sK0,sK1),sK1),sK4(sK0,sK1,sK3(topstr_closure(sK0,sK1),sK1))),
inference(unit_resulting_resolution,[],[f74,f75,f93,f99,f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ in(X2,sK4(X0,X1,X2))
| ~ top_str(X0)
| ~ in(X2,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| in(X2,topstr_closure(X0,X1)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ in(X2,the_carrier(X0))
| ( ( in(X2,topstr_closure(X0,X1))
| ( subset(X1,sK4(X0,X1,X2))
& closed_subset(sK4(X0,X1,X2),X0)
& element(sK4(X0,X1,X2),powerset(the_carrier(X0)))
& ~ in(X2,sK4(X0,X1,X2)) ) )
& ( ! [X4] :
( ~ subset(X1,X4)
| ~ closed_subset(X4,X0)
| ~ element(X4,powerset(the_carrier(X0)))
| in(X2,X4) )
| ~ in(X2,topstr_closure(X0,X1)) ) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f67,f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ? [X3] :
( subset(X1,X3)
& closed_subset(X3,X0)
& element(X3,powerset(the_carrier(X0)))
& ~ in(X2,X3) )
=> ( subset(X1,sK4(X0,X1,X2))
& closed_subset(sK4(X0,X1,X2),X0)
& element(sK4(X0,X1,X2),powerset(the_carrier(X0)))
& ~ in(X2,sK4(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ in(X2,the_carrier(X0))
| ( ( in(X2,topstr_closure(X0,X1))
| ? [X3] :
( subset(X1,X3)
& closed_subset(X3,X0)
& element(X3,powerset(the_carrier(X0)))
& ~ in(X2,X3) ) )
& ( ! [X4] :
( ~ subset(X1,X4)
| ~ closed_subset(X4,X0)
| ~ element(X4,powerset(the_carrier(X0)))
| in(X2,X4) )
| ~ in(X2,topstr_closure(X0,X1)) ) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ in(X2,the_carrier(X0))
| ( ( in(X2,topstr_closure(X0,X1))
| ? [X3] :
( subset(X1,X3)
& closed_subset(X3,X0)
& element(X3,powerset(the_carrier(X0)))
& ~ in(X2,X3) ) )
& ( ! [X3] :
( ~ subset(X1,X3)
| ~ closed_subset(X3,X0)
| ~ element(X3,powerset(the_carrier(X0)))
| in(X2,X3) )
| ~ in(X2,topstr_closure(X0,X1)) ) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ in(X2,the_carrier(X0))
| ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( ~ subset(X1,X3)
| ~ closed_subset(X3,X0)
| ~ element(X3,powerset(the_carrier(X0)))
| in(X2,X3) ) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ! [X3] :
( in(X2,X3)
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3)
| ~ element(X3,powerset(the_carrier(X0))) )
<=> in(X2,topstr_closure(X0,X1)) )
| ~ in(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( in(X2,the_carrier(X0))
=> ( ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( ( closed_subset(X3,X0)
& subset(X1,X3) )
=> in(X2,X3) ) )
<=> in(X2,topstr_closure(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_pre_topc) ).
fof(f99,plain,
in(sK3(topstr_closure(sK0,sK1),sK1),the_carrier(sK0)),
inference(unit_resulting_resolution,[],[f91,f94,f82]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ subset(X1,X0)
| ~ in(X2,X1)
| in(X2,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( ~ in(sK3(X0,X1),X0)
& in(sK3(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f63,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X3] :
( ~ in(X3,X0)
& in(X3,X1) )
=> ( ~ in(sK3(X0,X1),X0)
& in(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( ~ in(X3,X0)
& in(X3,X1) ) ) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f94,plain,
in(sK3(topstr_closure(sK0,sK1),sK1),sK1),
inference(unit_resulting_resolution,[],[f76,f80]) ).
fof(f80,plain,
! [X0,X1] :
( in(sK3(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f76,plain,
~ subset(sK1,topstr_closure(sK0,sK1)),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ~ subset(sK1,topstr_closure(sK0,sK1))
& element(sK1,powerset(the_carrier(sK0)))
& top_str(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f49,f57,f56]) ).
fof(f56,plain,
( ? [X0] :
( ? [X1] :
( ~ subset(X1,topstr_closure(X0,X1))
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) )
=> ( ? [X1] :
( ~ subset(X1,topstr_closure(sK0,X1))
& element(X1,powerset(the_carrier(sK0))) )
& top_str(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
( ? [X1] :
( ~ subset(X1,topstr_closure(sK0,X1))
& element(X1,powerset(the_carrier(sK0))) )
=> ( ~ subset(sK1,topstr_closure(sK0,sK1))
& element(sK1,powerset(the_carrier(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ~ subset(X1,topstr_closure(X0,X1))
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(X1,topstr_closure(X0,X1)) ) ),
inference(negated_conjecture,[],[f38]) ).
fof(f38,conjecture,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(X1,topstr_closure(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_pre_topc) ).
fof(f91,plain,
subset(sK1,the_carrier(sK0)),
inference(unit_resulting_resolution,[],[f75,f73]) ).
fof(f73,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| subset(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ~ element(X1,powerset(X0)) )
& ( element(X1,powerset(X0))
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( ( subset(X0,X1)
| ~ element(X0,powerset(X1)) )
& ( element(X0,powerset(X1))
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f93,plain,
~ in(sK3(topstr_closure(sK0,sK1),sK1),topstr_closure(sK0,sK1)),
inference(unit_resulting_resolution,[],[f76,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f75,plain,
element(sK1,powerset(the_carrier(sK0))),
inference(cnf_transformation,[],[f58]) ).
fof(f74,plain,
top_str(sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f122,plain,
in(sK3(topstr_closure(sK0,sK1),sK1),sK4(sK0,sK1,sK3(topstr_closure(sK0,sK1),sK1))),
inference(unit_resulting_resolution,[],[f94,f106,f82]) ).
fof(f106,plain,
subset(sK1,sK4(sK0,sK1,sK3(topstr_closure(sK0,sK1),sK1))),
inference(unit_resulting_resolution,[],[f74,f75,f93,f99,f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( subset(X1,sK4(X0,X1,X2))
| in(X2,topstr_closure(X0,X1))
| ~ in(X2,the_carrier(X0))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU317+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n023.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 15:32:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (17790)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (17790)Instruction limit reached!
% 0.19/0.50 % (17790)------------------------------
% 0.19/0.50 % (17790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (17790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (17790)Termination reason: Unknown
% 0.19/0.50 % (17790)Termination phase: Finite model building preprocessing
% 0.19/0.50
% 0.19/0.50 % (17790)Memory used [KB]: 1535
% 0.19/0.50 % (17790)Time elapsed: 0.003 s
% 0.19/0.50 % (17790)Instructions burned: 3 (million)
% 0.19/0.50 % (17790)------------------------------
% 0.19/0.50 % (17790)------------------------------
% 0.19/0.50 % (17784)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (17777)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)
% 0.19/0.51 % (17798)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)
% 0.19/0.51 % (17784)Instruction limit reached!
% 0.19/0.51 % (17784)------------------------------
% 0.19/0.51 % (17784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (17784)Termination reason: Unknown
% 0.19/0.51 % (17784)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (17784)Memory used [KB]: 6140
% 0.19/0.51 % (17784)Time elapsed: 0.107 s
% 0.19/0.51 % (17784)Instructions burned: 7 (million)
% 0.19/0.51 % (17784)------------------------------
% 0.19/0.51 % (17784)------------------------------
% 0.19/0.51 % (17774)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (17780)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)
% 0.19/0.52 % (17781)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)
% 0.19/0.52 % (17797)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)
% 0.19/0.52 % (17783)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)
% 0.19/0.52 % (17795)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)
% 0.19/0.52 % (17803)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)
% 0.19/0.52 % (17773)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (17783)Refutation not found, incomplete strategy% (17783)------------------------------
% 0.19/0.52 % (17783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (17783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (17783)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (17783)Memory used [KB]: 6012
% 0.19/0.52 % (17783)Time elapsed: 0.119 s
% 0.19/0.52 % (17783)Instructions burned: 5 (million)
% 0.19/0.52 % (17783)------------------------------
% 0.19/0.52 % (17783)------------------------------
% 0.19/0.53 % (17775)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)
% 0.19/0.53 % (17779)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)
% 0.19/0.53 % (17799)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)
% 0.19/0.53 % (17776)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)
% 0.19/0.53 % (17782)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)
% 0.19/0.53 % (17778)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)
% 0.19/0.53 % (17776)First to succeed.
% 0.19/0.53 % (17776)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (17776)------------------------------
% 0.19/0.53 % (17776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17776)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (17776)Memory used [KB]: 6012
% 0.19/0.53 % (17776)Time elapsed: 0.120 s
% 0.19/0.53 % (17776)Instructions burned: 4 (million)
% 0.19/0.53 % (17776)------------------------------
% 0.19/0.53 % (17776)------------------------------
% 0.19/0.53 % (17772)Success in time 0.184 s
%------------------------------------------------------------------------------