TSTP Solution File: SEU275+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --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 18:32:57 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 20 unt; 0 def)
% Number of atoms : 115 ( 1 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 121 ( 49 ~; 42 |; 22 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 23 ( 21 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f69,plain,
$false,
inference(subsumption_resolution,[],[f68,f47]) ).
fof(f47,plain,
~ well_ordering(sF2),
inference(definition_folding,[],[f44,f46]) ).
fof(f46,plain,
sF2 = inclusion_relation(sK1),
introduced(function_definition,[]) ).
fof(f44,plain,
~ well_ordering(inclusion_relation(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(f68,plain,
well_ordering(sF2),
inference(subsumption_resolution,[],[f67,f52]) ).
fof(f52,plain,
antisymmetric(sF2),
inference(superposition,[],[f42,f46]) ).
fof(f42,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(f67,plain,
( ~ antisymmetric(sF2)
| well_ordering(sF2) ),
inference(subsumption_resolution,[],[f66,f55]) ).
fof(f55,plain,
transitive(sF2),
inference(superposition,[],[f30,f46]) ).
fof(f30,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(f66,plain,
( ~ transitive(sF2)
| ~ antisymmetric(sF2)
| well_ordering(sF2) ),
inference(subsumption_resolution,[],[f65,f53]) ).
fof(f53,plain,
reflexive(sF2),
inference(superposition,[],[f41,f46]) ).
fof(f41,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(f65,plain,
( ~ reflexive(sF2)
| well_ordering(sF2)
| ~ antisymmetric(sF2)
| ~ transitive(sF2) ),
inference(subsumption_resolution,[],[f64,f54]) ).
fof(f54,plain,
relation(sF2),
inference(superposition,[],[f39,f46]) ).
fof(f39,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(f64,plain,
( ~ relation(sF2)
| well_ordering(sF2)
| ~ reflexive(sF2)
| ~ transitive(sF2)
| ~ antisymmetric(sF2) ),
inference(subsumption_resolution,[],[f63,f57]) ).
fof(f57,plain,
connected(sF2),
inference(subsumption_resolution,[],[f56,f45]) ).
fof(f45,plain,
ordinal(sK1),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
( ~ ordinal(sK1)
| connected(sF2) ),
inference(superposition,[],[f26,f46]) ).
fof(f26,plain,
! [X0] :
( connected(inclusion_relation(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,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(f63,plain,
( ~ connected(sF2)
| ~ transitive(sF2)
| well_ordering(sF2)
| ~ reflexive(sF2)
| ~ relation(sF2)
| ~ antisymmetric(sF2) ),
inference(resolution,[],[f36,f59]) ).
fof(f59,plain,
well_founded_relation(sF2),
inference(subsumption_resolution,[],[f58,f45]) ).
fof(f58,plain,
( ~ ordinal(sK1)
| well_founded_relation(sF2) ),
inference(superposition,[],[f40,f46]) ).
fof(f40,plain,
! [X0] :
( well_founded_relation(inclusion_relation(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( well_founded_relation(inclusion_relation(X0))
| ~ ordinal(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(f36,plain,
! [X0] :
( ~ well_founded_relation(X0)
| ~ reflexive(X0)
| ~ connected(X0)
| ~ relation(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| well_ordering(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( ( well_ordering(X0)
| ~ well_founded_relation(X0)
| ~ antisymmetric(X0)
| ~ reflexive(X0)
| ~ connected(X0)
| ~ transitive(X0) )
& ( ( well_founded_relation(X0)
& antisymmetric(X0)
& reflexive(X0)
& connected(X0)
& transitive(X0) )
| ~ well_ordering(X0) ) )
| ~ relation(X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ( ( well_ordering(X0)
| ~ well_founded_relation(X0)
| ~ antisymmetric(X0)
| ~ reflexive(X0)
| ~ connected(X0)
| ~ transitive(X0) )
& ( ( well_founded_relation(X0)
& antisymmetric(X0)
& reflexive(X0)
& connected(X0)
& transitive(X0) )
| ~ well_ordering(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ( well_ordering(X0)
<=> ( well_founded_relation(X0)
& antisymmetric(X0)
& reflexive(X0)
& connected(X0)
& transitive(X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( relation(X0)
=> ( well_ordering(X0)
<=> ( well_founded_relation(X0)
& antisymmetric(X0)
& reflexive(X0)
& connected(X0)
& transitive(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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 15:17:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47 % (15138)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.48 % (15138)First to succeed.
% 0.19/0.48 % (15138)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.48 % (15138)------------------------------
% 0.25/0.48 % (15138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.25/0.48 % (15138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.25/0.48 % (15138)Termination reason: Refutation
% 0.25/0.48
% 0.25/0.48 % (15138)Memory used [KB]: 5373
% 0.25/0.48 % (15138)Time elapsed: 0.083 s
% 0.25/0.48 % (15138)Instructions burned: 2 (million)
% 0.25/0.48 % (15138)------------------------------
% 0.25/0.48 % (15138)------------------------------
% 0.25/0.48 % (15125)Success in time 0.137 s
%------------------------------------------------------------------------------