TSTP Solution File: SEU275+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU275+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 : n028.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 18:28:15 EDT 2022
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 118 ( 48 ~; 40 |; 22 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 23 ( 21 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,plain,
$false,
inference(subsumption_resolution,[],[f62,f52]) ).
fof(f52,plain,
connected(inclusion_relation(sK1)),
inference(resolution,[],[f35,f40]) ).
fof(f40,plain,
ordinal(sK1),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ordinal(sK1)
& ~ well_ordering(inclusion_relation(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f15,f24]) ).
fof(f24,plain,
( ? [X0] :
( ordinal(X0)
& ~ well_ordering(inclusion_relation(X0)) )
=> ( ordinal(sK1)
& ~ well_ordering(inclusion_relation(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0] :
( ordinal(X0)
& ~ well_ordering(inclusion_relation(X0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> well_ordering(inclusion_relation(X0)) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0] :
( ordinal(X0)
=> well_ordering(inclusion_relation(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_wellord2) ).
fof(f35,plain,
! [X0] :
( ~ ordinal(X0)
| connected(inclusion_relation(X0)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( connected(inclusion_relation(X0))
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ordinal(X0)
=> connected(inclusion_relation(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_wellord2) ).
fof(f62,plain,
~ connected(inclusion_relation(sK1)),
inference(subsumption_resolution,[],[f61,f45]) ).
fof(f45,plain,
! [X0] : reflexive(inclusion_relation(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : reflexive(inclusion_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_wellord2) ).
fof(f61,plain,
( ~ reflexive(inclusion_relation(sK1))
| ~ connected(inclusion_relation(sK1)) ),
inference(subsumption_resolution,[],[f60,f39]) ).
fof(f39,plain,
~ well_ordering(inclusion_relation(sK1)),
inference(cnf_transformation,[],[f25]) ).
fof(f60,plain,
( well_ordering(inclusion_relation(sK1))
| ~ reflexive(inclusion_relation(sK1))
| ~ connected(inclusion_relation(sK1)) ),
inference(subsumption_resolution,[],[f59,f41]) ).
fof(f41,plain,
! [X0] : transitive(inclusion_relation(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : transitive(inclusion_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_wellord2) ).
fof(f59,plain,
( ~ transitive(inclusion_relation(sK1))
| ~ reflexive(inclusion_relation(sK1))
| ~ connected(inclusion_relation(sK1))
| well_ordering(inclusion_relation(sK1)) ),
inference(subsumption_resolution,[],[f58,f27]) ).
fof(f27,plain,
! [X0] : antisymmetric(inclusion_relation(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] : antisymmetric(inclusion_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_wellord2) ).
fof(f58,plain,
( ~ antisymmetric(inclusion_relation(sK1))
| well_ordering(inclusion_relation(sK1))
| ~ transitive(inclusion_relation(sK1))
| ~ reflexive(inclusion_relation(sK1))
| ~ connected(inclusion_relation(sK1)) ),
inference(subsumption_resolution,[],[f56,f42]) ).
fof(f42,plain,
! [X0] : relation(inclusion_relation(X0)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : relation(inclusion_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_wellord2) ).
fof(f56,plain,
( ~ relation(inclusion_relation(sK1))
| ~ antisymmetric(inclusion_relation(sK1))
| ~ connected(inclusion_relation(sK1))
| well_ordering(inclusion_relation(sK1))
| ~ transitive(inclusion_relation(sK1))
| ~ reflexive(inclusion_relation(sK1)) ),
inference(resolution,[],[f33,f50]) ).
fof(f50,plain,
well_founded_relation(inclusion_relation(sK1)),
inference(resolution,[],[f26,f40]) ).
fof(f26,plain,
! [X0] :
( ~ ordinal(X0)
| well_founded_relation(inclusion_relation(X0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ~ ordinal(X0)
| well_founded_relation(inclusion_relation(X0)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ordinal(X0)
=> well_founded_relation(inclusion_relation(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_wellord2) ).
fof(f33,plain,
! [X0] :
( ~ well_founded_relation(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ relation(X0)
| ~ reflexive(X0)
| ~ connected(X0)
| well_ordering(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ~ relation(X0)
| ( ( well_ordering(X0)
| ~ connected(X0)
| ~ reflexive(X0)
| ~ well_founded_relation(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0) )
& ( ( connected(X0)
& reflexive(X0)
& well_founded_relation(X0)
& antisymmetric(X0)
& transitive(X0) )
| ~ well_ordering(X0) ) ) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ~ relation(X0)
| ( ( well_ordering(X0)
| ~ connected(X0)
| ~ reflexive(X0)
| ~ well_founded_relation(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0) )
& ( ( connected(X0)
& reflexive(X0)
& well_founded_relation(X0)
& antisymmetric(X0)
& transitive(X0) )
| ~ well_ordering(X0) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ~ relation(X0)
| ( well_ordering(X0)
<=> ( connected(X0)
& reflexive(X0)
& well_founded_relation(X0)
& antisymmetric(X0)
& transitive(X0) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( relation(X0)
=> ( well_ordering(X0)
<=> ( connected(X0)
& reflexive(X0)
& well_founded_relation(X0)
& antisymmetric(X0)
& transitive(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 15:11:18 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.45 % (31101)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)
% 0.21/0.45 % (31110)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)
% 0.21/0.45 % (31110)Refutation not found, incomplete strategy% (31110)------------------------------
% 0.21/0.45 % (31110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.45 % (31110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.45 % (31110)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45 % (31110)Memory used [KB]: 1407
% 0.21/0.45 % (31110)Time elapsed: 0.037 s
% 0.21/0.45 % (31110)Instructions burned: 1 (million)
% 0.21/0.45 % (31110)------------------------------
% 0.21/0.45 % (31110)------------------------------
% 0.21/0.45 % (31101)First to succeed.
% 0.21/0.46 % (31101)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for theBenchmark
% 0.21/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.46 % (31101)------------------------------
% 0.21/0.46 % (31101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.46 % (31101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.46 % (31101)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (31101)Memory used [KB]: 5884
% 0.21/0.46 % (31101)Time elapsed: 0.048 s
% 0.21/0.46 % (31101)Instructions burned: 1 (million)
% 0.21/0.46 % (31101)------------------------------
% 0.21/0.46 % (31101)------------------------------
% 0.21/0.46 % (31082)Success in time 0.106 s
%------------------------------------------------------------------------------