TSTP Solution File: SET347+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET347+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 : n026.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 18:20:23 EDT 2022
% Result : Theorem 0.14s 0.47s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 10 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 32 ~; 28 |; 17 &)
% ( 7 <=>; 6 =>; 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; 1 con; 0-2 aty)
% Number of variables : 53 ( 46 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,plain,
$false,
inference(avatar_sat_refutation,[],[f46,f60,f71]) ).
fof(f71,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f70,plain,
( $false
| spl2_2 ),
inference(subsumption_resolution,[],[f64,f36]) ).
fof(f36,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
fof(f64,plain,
( member(sK1(empty_set,sum(empty_set)),empty_set)
| spl2_2 ),
inference(unit_resulting_resolution,[],[f45,f35]) ).
fof(f35,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( member(sK1(X0,X1),X0)
& ~ member(sK1(X0,X1),X1) )
| subset(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f20,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
=> ( member(sK1(X0,X1),X0)
& ~ member(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
=> subset(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f45,plain,
( ~ subset(empty_set,sum(empty_set))
| spl2_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl2_2
<=> subset(empty_set,sum(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f60,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f51,f36]) ).
fof(f51,plain,
( member(sK0(empty_set,sK1(sum(empty_set),empty_set)),empty_set)
| spl2_1 ),
inference(unit_resulting_resolution,[],[f47,f33]) ).
fof(f33,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| ~ member(X1,sum(X0)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( ( member(sK0(X0,X1),X0)
& member(X1,sK0(X0,X1)) )
| ~ member(X1,sum(X0)) )
& ( member(X1,sum(X0))
| ! [X3] :
( ~ member(X3,X0)
| ~ member(X1,X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f24,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& member(X1,X2) )
=> ( member(sK0(X0,X1),X0)
& member(X1,sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
( ( ? [X2] :
( member(X2,X0)
& member(X1,X2) )
| ~ member(X1,sum(X0)) )
& ( member(X1,sum(X0))
| ! [X3] :
( ~ member(X3,X0)
| ~ member(X1,X3) ) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( ( ? [X2] :
( member(X2,X1)
& member(X0,X2) )
| ~ member(X0,sum(X1)) )
& ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X0,X2) ) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
( ? [X2] :
( member(X2,X1)
& member(X0,X2) )
<=> member(X0,sum(X1)) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X2,X0] :
( ? [X4] :
( member(X4,X0)
& member(X2,X4) )
<=> member(X2,sum(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum) ).
fof(f47,plain,
( member(sK1(sum(empty_set),empty_set),sum(empty_set))
| spl2_1 ),
inference(unit_resulting_resolution,[],[f41,f35]) ).
fof(f41,plain,
( ~ subset(sum(empty_set),empty_set)
| spl2_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl2_1
<=> subset(sum(empty_set),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f46,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f37,f43,f39]) ).
fof(f37,plain,
( ~ subset(empty_set,sum(empty_set))
| ~ subset(sum(empty_set),empty_set) ),
inference(resolution,[],[f30,f29]) ).
fof(f29,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| equal_set(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> equal_set(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f30,plain,
~ equal_set(sum(empty_set),empty_set),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
~ equal_set(sum(empty_set),empty_set),
inference(flattening,[],[f13]) ).
fof(f13,negated_conjecture,
~ equal_set(sum(empty_set),empty_set),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
equal_set(sum(empty_set),empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI38) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SET347+4 : TPTP v8.1.0. Released v2.2.0.
% 0.05/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Aug 30 13:54:51 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.36 % (19661)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)
% 0.14/0.36 % (19661)Refutation not found, incomplete strategy% (19661)------------------------------
% 0.14/0.36 % (19661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.36 % (19661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.36 % (19661)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.36
% 0.14/0.36 % (19661)Memory used [KB]: 1407
% 0.14/0.36 % (19661)Time elapsed: 0.003 s
% 0.14/0.36 % (19661)Instructions burned: 2 (million)
% 0.14/0.36 % (19661)------------------------------
% 0.14/0.36 % (19661)------------------------------
% 0.14/0.41 % (19668)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/92Mi)
% 0.14/0.41 % (19668)Refutation not found, incomplete strategy% (19668)------------------------------
% 0.14/0.41 % (19668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.41 % (19668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.41 % (19668)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.41
% 0.14/0.41 % (19668)Memory used [KB]: 5884
% 0.14/0.41 % (19668)Time elapsed: 0.003 s
% 0.14/0.41 % (19668)Instructions burned: 1 (million)
% 0.14/0.41 % (19668)------------------------------
% 0.14/0.41 % (19668)------------------------------
% 0.14/0.44 % (19660)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)
% 0.14/0.45 % (19645)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)
% 0.14/0.45 % (19659)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.45 % (19659)Refutation not found, incomplete strategy% (19659)------------------------------
% 0.14/0.45 % (19659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.45 % (19659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.45 % (19659)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.45
% 0.14/0.45 % (19659)Memory used [KB]: 5884
% 0.14/0.45 % (19659)Time elapsed: 0.002 s
% 0.14/0.45 % (19659)Instructions burned: 1 (million)
% 0.14/0.45 % (19659)------------------------------
% 0.14/0.45 % (19659)------------------------------
% 0.14/0.45 % (19645)First to succeed.
% 0.14/0.46 % (19667)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)
% 0.14/0.46 % (19653)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)
% 0.14/0.46 % (19652)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)
% 0.14/0.46 % (19652)Instruction limit reached!
% 0.14/0.46 % (19652)------------------------------
% 0.14/0.46 % (19652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (19652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46 % (19652)Termination reason: Unknown
% 0.14/0.46 % (19652)Termination phase: Saturation
% 0.14/0.46
% 0.14/0.46 % (19652)Memory used [KB]: 5884
% 0.14/0.46 % (19652)Time elapsed: 0.114 s
% 0.14/0.46 % (19652)Instructions burned: 3 (million)
% 0.14/0.46 % (19652)------------------------------
% 0.14/0.46 % (19652)------------------------------
% 0.14/0.47 % (19669)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.14/0.47 % (19669)Refutation not found, incomplete strategy% (19669)------------------------------
% 0.14/0.47 % (19669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (19669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (19669)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.47
% 0.14/0.47 % (19669)Memory used [KB]: 10362
% 0.14/0.47 % (19669)Time elapsed: 0.003 s
% 0.14/0.47 % (19669)Instructions burned: 2 (million)
% 0.14/0.47 % (19669)------------------------------
% 0.14/0.47 % (19669)------------------------------
% 0.14/0.47 % (19645)Refutation found. Thanks to Tanya!
% 0.14/0.47 % SZS status Theorem for theBenchmark
% 0.14/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.47 % (19645)------------------------------
% 0.14/0.47 % (19645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (19645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (19645)Termination reason: Refutation
% 0.14/0.47
% 0.14/0.47 % (19645)Memory used [KB]: 5884
% 0.14/0.47 % (19645)Time elapsed: 0.092 s
% 0.14/0.47 % (19645)Instructions burned: 2 (million)
% 0.14/0.47 % (19645)------------------------------
% 0.14/0.47 % (19645)------------------------------
% 0.14/0.47 % (19637)Success in time 0.168 s
%------------------------------------------------------------------------------