TSTP Solution File: NUM410+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n015.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 18:05:00 EDT 2022
% Result : Theorem 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 14 unt; 0 def)
% Number of atoms : 121 ( 2 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 138 ( 55 ~; 47 |; 23 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 30 ( 27 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f315,plain,
$false,
inference(subsumption_resolution,[],[f314,f226]) ).
fof(f226,plain,
~ transfinite_sequence_of(sK13,sF18),
inference(definition_folding,[],[f202,f225]) ).
fof(f225,plain,
relation_rng(sK13) = sF18,
introduced(function_definition,[]) ).
fof(f202,plain,
~ transfinite_sequence_of(sK13,relation_rng(sK13)),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ordinal(relation_dom(sK13))
& function(sK13)
& relation(sK13)
& ~ transfinite_sequence_of(sK13,relation_rng(sK13)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f84,f127]) ).
fof(f127,plain,
( ? [X0] :
( ordinal(relation_dom(X0))
& function(X0)
& relation(X0)
& ~ transfinite_sequence_of(X0,relation_rng(X0)) )
=> ( ordinal(relation_dom(sK13))
& function(sK13)
& relation(sK13)
& ~ transfinite_sequence_of(sK13,relation_rng(sK13)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0] :
( ordinal(relation_dom(X0))
& function(X0)
& relation(X0)
& ~ transfinite_sequence_of(X0,relation_rng(X0)) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
? [X0] :
( ~ transfinite_sequence_of(X0,relation_rng(X0))
& ordinal(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ordinal(relation_dom(X0))
=> transfinite_sequence_of(X0,relation_rng(X0)) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ordinal(relation_dom(X0))
=> transfinite_sequence_of(X0,relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_ordinal1) ).
fof(f314,plain,
transfinite_sequence_of(sK13,sF18),
inference(resolution,[],[f313,f166]) ).
fof(f166,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f313,plain,
! [X0] :
( ~ subset(sF18,X0)
| transfinite_sequence_of(sK13,X0) ),
inference(subsumption_resolution,[],[f312,f203]) ).
fof(f203,plain,
relation(sK13),
inference(cnf_transformation,[],[f128]) ).
fof(f312,plain,
! [X0] :
( transfinite_sequence_of(sK13,X0)
| ~ subset(sF18,X0)
| ~ relation(sK13) ),
inference(subsumption_resolution,[],[f311,f301]) ).
fof(f301,plain,
transfinite_sequence(sK13),
inference(subsumption_resolution,[],[f300,f204]) ).
fof(f204,plain,
function(sK13),
inference(cnf_transformation,[],[f128]) ).
fof(f300,plain,
( transfinite_sequence(sK13)
| ~ function(sK13) ),
inference(subsumption_resolution,[],[f299,f203]) ).
fof(f299,plain,
( ~ relation(sK13)
| ~ function(sK13)
| transfinite_sequence(sK13) ),
inference(subsumption_resolution,[],[f293,f224]) ).
fof(f224,plain,
ordinal(sF17),
inference(definition_folding,[],[f205,f223]) ).
fof(f223,plain,
sF17 = relation_dom(sK13),
introduced(function_definition,[]) ).
fof(f205,plain,
ordinal(relation_dom(sK13)),
inference(cnf_transformation,[],[f128]) ).
fof(f293,plain,
( ~ ordinal(sF17)
| ~ relation(sK13)
| ~ function(sK13)
| transfinite_sequence(sK13) ),
inference(superposition,[],[f214,f223]) ).
fof(f214,plain,
! [X0] :
( ~ ordinal(relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| transfinite_sequence(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ~ function(X0)
| ( ( transfinite_sequence(X0)
| ~ ordinal(relation_dom(X0)) )
& ( ordinal(relation_dom(X0))
| ~ transfinite_sequence(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ~ function(X0)
| ( transfinite_sequence(X0)
<=> ordinal(relation_dom(X0)) )
| ~ relation(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( transfinite_sequence(X0)
<=> ordinal(relation_dom(X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( transfinite_sequence(X0)
<=> ordinal(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_ordinal1) ).
fof(f311,plain,
! [X0] :
( transfinite_sequence_of(sK13,X0)
| ~ transfinite_sequence(sK13)
| ~ subset(sF18,X0)
| ~ relation(sK13) ),
inference(subsumption_resolution,[],[f306,f204]) ).
fof(f306,plain,
! [X0] :
( ~ function(sK13)
| ~ transfinite_sequence(sK13)
| ~ relation(sK13)
| transfinite_sequence_of(sK13,X0)
| ~ subset(sF18,X0) ),
inference(superposition,[],[f174,f225]) ).
fof(f174,plain,
! [X0,X1] :
( ~ subset(relation_rng(X0),X1)
| ~ relation(X0)
| ~ transfinite_sequence(X0)
| transfinite_sequence_of(X0,X1)
| ~ function(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( ( transfinite_sequence_of(X0,X1)
| ~ subset(relation_rng(X0),X1) )
& ( subset(relation_rng(X0),X1)
| ~ transfinite_sequence_of(X0,X1) ) )
| ~ relation(X0)
| ~ transfinite_sequence(X0)
| ~ function(X0) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X1,X0] :
( ( ( transfinite_sequence_of(X1,X0)
| ~ subset(relation_rng(X1),X0) )
& ( subset(relation_rng(X1),X0)
| ~ transfinite_sequence_of(X1,X0) ) )
| ~ relation(X1)
| ~ transfinite_sequence(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ( transfinite_sequence_of(X1,X0)
<=> subset(relation_rng(X1),X0) )
| ~ relation(X1)
| ~ transfinite_sequence(X1)
| ~ function(X1) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ( transfinite_sequence_of(X1,X0)
<=> subset(relation_rng(X1),X0) )
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( transfinite_sequence(X1)
& function(X1)
& relation(X1) )
=> ( transfinite_sequence_of(X1,X0)
<=> subset(relation_rng(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_ordinal1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM410+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 06:40:50 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.46 % (24788)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.48 % (24780)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.48 % (24797)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.49 % (24789)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.49 % (24796)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.50 TRYING [1]
% 0.17/0.50 TRYING [2]
% 0.17/0.50 TRYING [3]
% 0.17/0.50 % (24787)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.50 TRYING [4]
% 0.17/0.50 % (24789)First to succeed.
% 0.17/0.50 % (24781)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.50 TRYING [5]
% 0.17/0.51 % (24789)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Theorem for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (24789)------------------------------
% 0.17/0.51 % (24789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (24789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (24789)Termination reason: Refutation
% 0.17/0.51
% 0.17/0.51 % (24789)Memory used [KB]: 1023
% 0.17/0.51 % (24789)Time elapsed: 0.073 s
% 0.17/0.51 % (24789)Instructions burned: 6 (million)
% 0.17/0.51 % (24789)------------------------------
% 0.17/0.51 % (24789)------------------------------
% 0.17/0.51 % (24773)Success in time 0.182 s
%------------------------------------------------------------------------------