TSTP Solution File: NUM410+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM410+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n009.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 17:59:22 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 111 ( 41 ~; 34 |; 23 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 27 ( 24 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f254,plain,
$false,
inference(subsumption_resolution,[],[f250,f199]) ).
fof(f199,plain,
~ transfinite_sequence_of(sK11,relation_rng(sK11)),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( relation(sK11)
& ~ transfinite_sequence_of(sK11,relation_rng(sK11))
& function(sK11)
& ordinal(relation_dom(sK11)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f83,f125]) ).
fof(f125,plain,
( ? [X0] :
( relation(X0)
& ~ transfinite_sequence_of(X0,relation_rng(X0))
& function(X0)
& ordinal(relation_dom(X0)) )
=> ( relation(sK11)
& ~ transfinite_sequence_of(sK11,relation_rng(sK11))
& function(sK11)
& ordinal(relation_dom(sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
? [X0] :
( relation(X0)
& ~ transfinite_sequence_of(X0,relation_rng(X0))
& function(X0)
& ordinal(relation_dom(X0)) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
? [X0] :
( ~ transfinite_sequence_of(X0,relation_rng(X0))
& ordinal(relation_dom(X0))
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ordinal(relation_dom(X0))
=> transfinite_sequence_of(X0,relation_rng(X0)) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ordinal(relation_dom(X0))
=> transfinite_sequence_of(X0,relation_rng(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_ordinal1) ).
fof(f250,plain,
transfinite_sequence_of(sK11,relation_rng(sK11)),
inference(unit_resulting_resolution,[],[f200,f198,f194,f243,f141]) ).
fof(f141,plain,
! [X0,X1] :
( transfinite_sequence_of(X0,X1)
| ~ relation(X0)
| ~ subset(relation_rng(X0),X1)
| ~ function(X0)
| ~ transfinite_sequence(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ( ( transfinite_sequence_of(X0,X1)
| ~ subset(relation_rng(X0),X1) )
& ( subset(relation_rng(X0),X1)
| ~ transfinite_sequence_of(X0,X1) ) )
| ~ transfinite_sequence(X0) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X1,X0] :
( ~ relation(X1)
| ~ function(X1)
| ( ( transfinite_sequence_of(X1,X0)
| ~ subset(relation_rng(X1),X0) )
& ( subset(relation_rng(X1),X0)
| ~ transfinite_sequence_of(X1,X0) ) )
| ~ transfinite_sequence(X1) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( ~ relation(X1)
| ~ function(X1)
| ( transfinite_sequence_of(X1,X0)
<=> subset(relation_rng(X1),X0) )
| ~ transfinite_sequence(X1) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X1,X0] :
( ( transfinite_sequence_of(X1,X0)
<=> subset(relation_rng(X1),X0) )
| ~ relation(X1)
| ~ transfinite_sequence(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( relation(X1)
& transfinite_sequence(X1)
& function(X1) )
=> ( transfinite_sequence_of(X1,X0)
<=> subset(relation_rng(X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_ordinal1) ).
fof(f243,plain,
transfinite_sequence(sK11),
inference(subsumption_resolution,[],[f242,f198]) ).
fof(f242,plain,
( transfinite_sequence(sK11)
| ~ function(sK11) ),
inference(subsumption_resolution,[],[f230,f197]) ).
fof(f197,plain,
ordinal(relation_dom(sK11)),
inference(cnf_transformation,[],[f126]) ).
fof(f230,plain,
( ~ ordinal(relation_dom(sK11))
| ~ function(sK11)
| transfinite_sequence(sK11) ),
inference(resolution,[],[f200,f155]) ).
fof(f155,plain,
! [X0] :
( ~ function(X0)
| ~ ordinal(relation_dom(X0))
| transfinite_sequence(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ function(X0)
| ( ( ordinal(relation_dom(X0))
| ~ transfinite_sequence(X0) )
& ( transfinite_sequence(X0)
| ~ ordinal(relation_dom(X0)) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ~ function(X0)
| ( ordinal(relation_dom(X0))
<=> transfinite_sequence(X0) )
| ~ relation(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( ordinal(relation_dom(X0))
<=> transfinite_sequence(X0) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ordinal(relation_dom(X0))
<=> transfinite_sequence(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_ordinal1) ).
fof(f194,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X1] : subset(X1,X1),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X1,X0] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f198,plain,
function(sK11),
inference(cnf_transformation,[],[f126]) ).
fof(f200,plain,
relation(sK11),
inference(cnf_transformation,[],[f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM410+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.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 06:26:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 % (9689)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)
% 0.18/0.47 % (9712)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.47 % (9689)Refutation not found, incomplete strategy% (9689)------------------------------
% 0.18/0.47 % (9689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (9689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (9689)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.47
% 0.18/0.47 % (9689)Memory used [KB]: 6012
% 0.18/0.47 % (9689)Time elapsed: 0.092 s
% 0.18/0.47 % (9689)Instructions burned: 3 (million)
% 0.18/0.47 % (9689)------------------------------
% 0.18/0.47 % (9689)------------------------------
% 0.18/0.47 % (9707)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)
% 0.18/0.48 % (9704)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.48 % (9692)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 % (9697)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.48 % (9692)First to succeed.
% 0.18/0.49 % (9692)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (9692)------------------------------
% 0.18/0.49 % (9692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (9692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (9692)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (9692)Memory used [KB]: 6012
% 0.18/0.49 % (9692)Time elapsed: 0.009 s
% 0.18/0.49 % (9692)Instructions burned: 3 (million)
% 0.18/0.49 % (9692)------------------------------
% 0.18/0.49 % (9692)------------------------------
% 0.18/0.49 % (9684)Success in time 0.144 s
%------------------------------------------------------------------------------