TSTP Solution File: SET679+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET679+3 : 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 : 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 18:21:52 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 108 ( 6 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 130 ( 55 ~; 37 |; 22 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f214,plain,
$false,
inference(unit_resulting_resolution,[],[f130,f113,f113,f171,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( ( ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) )
| ~ empty(X0) )
& ( empty(X0)
| ( ilf_type(sK6(X0),set_type)
& member(sK6(X0),X0) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f74,f75]) ).
fof(f75,plain,
! [X0] :
( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0) )
=> ( ilf_type(sK6(X0),set_type)
& member(sK6(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0] :
( ( ( ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) )
| ~ empty(X0) )
& ( empty(X0)
| ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( ( ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) )
| ~ empty(X0) )
& ( empty(X0)
| ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) )
<=> empty(X0) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
fof(f171,plain,
member(ordered_pair(sK6(sK0),sK6(sK0)),empty_set),
inference(forward_demodulation,[],[f160,f153]) ).
fof(f153,plain,
empty_set = identity_relation_of(sK0),
inference(unit_resulting_resolution,[],[f113,f113,f95,f106]) ).
fof(f106,plain,
! [X0,X1] :
( X0 = X1
| not_equal(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ( ( X0 != X1
| ~ not_equal(X0,X1) )
& ( not_equal(X0,X1)
| X0 = X1 ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ( X0 != X1
<=> not_equal(X0,X1) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 != X1
<=> not_equal(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f95,plain,
~ not_equal(identity_relation_of(sK0),empty_set),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ~ empty(sK0)
& ilf_type(sK0,set_type)
& ~ not_equal(identity_relation_of(sK0),empty_set) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f44,f55]) ).
fof(f55,plain,
( ? [X0] :
( ~ empty(X0)
& ilf_type(X0,set_type)
& ~ not_equal(identity_relation_of(X0),empty_set) )
=> ( ~ empty(sK0)
& ilf_type(sK0,set_type)
& ~ not_equal(identity_relation_of(sK0),empty_set) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0] :
( ~ empty(X0)
& ilf_type(X0,set_type)
& ~ not_equal(identity_relation_of(X0),empty_set) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X0] :
( ~ not_equal(identity_relation_of(X0),empty_set)
& ~ empty(X0)
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,negated_conjecture,
~ ! [X0] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> not_equal(identity_relation_of(X0),empty_set) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
! [X0] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> not_equal(identity_relation_of(X0),empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_46) ).
fof(f160,plain,
member(ordered_pair(sK6(sK0),sK6(sK0)),identity_relation_of(sK0)),
inference(unit_resulting_resolution,[],[f113,f113,f147,f105]) ).
fof(f105,plain,
! [X0,X1] :
( member(ordered_pair(X1,X1),identity_relation_of(X0))
| ~ ilf_type(X0,set_type)
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(ordered_pair(X1,X1),identity_relation_of(X0))
| ~ member(X1,X0) )
& ( member(X1,X0)
| ~ member(ordered_pair(X1,X1),identity_relation_of(X0)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(ordered_pair(X1,X1),identity_relation_of(X0))
<=> member(X1,X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(ordered_pair(X1,X1),identity_relation_of(X0))
<=> member(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f147,plain,
member(sK6(sK0),sK0),
inference(unit_resulting_resolution,[],[f113,f97,f119]) ).
fof(f119,plain,
! [X0] :
( empty(X0)
| member(sK6(X0),X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f76]) ).
fof(f97,plain,
~ empty(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f113,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f130,plain,
empty(empty_set),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET679+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:28:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 % (21385)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)
% 0.18/0.45 % (21376)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)
% 0.18/0.45 % (21385)Refutation not found, incomplete strategy% (21385)------------------------------
% 0.18/0.45 % (21385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.45 % (21385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.45 % (21385)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.46
% 0.18/0.46 % (21385)Memory used [KB]: 1535
% 0.18/0.46 % (21385)Time elapsed: 0.059 s
% 0.18/0.46 % (21385)Instructions burned: 3 (million)
% 0.18/0.46 % (21385)------------------------------
% 0.18/0.46 % (21385)------------------------------
% 0.18/0.47 % (21376)Instruction limit reached!
% 0.18/0.47 % (21376)------------------------------
% 0.18/0.47 % (21376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (21376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (21376)Termination reason: Unknown
% 0.18/0.47 % (21376)Termination phase: Saturation
% 0.18/0.47
% 0.18/0.47 % (21376)Memory used [KB]: 6140
% 0.18/0.47 % (21376)Time elapsed: 0.066 s
% 0.18/0.47 % (21376)Instructions burned: 7 (million)
% 0.18/0.47 % (21376)------------------------------
% 0.18/0.47 % (21376)------------------------------
% 0.18/0.47 % (21368)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)
% 0.18/0.48 % (21368)First to succeed.
% 0.18/0.48 % (21368)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (21368)------------------------------
% 0.18/0.48 % (21368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (21368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (21368)Termination reason: Refutation
% 0.18/0.48
% 0.18/0.48 % (21368)Memory used [KB]: 6012
% 0.18/0.48 % (21368)Time elapsed: 0.082 s
% 0.18/0.48 % (21368)Instructions burned: 5 (million)
% 0.18/0.48 % (21368)------------------------------
% 0.18/0.48 % (21368)------------------------------
% 0.18/0.48 % (21357)Success in time 0.145 s
%------------------------------------------------------------------------------