TSTP Solution File: SEU275+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU275+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 : Tue Apr 30 15:26:16 EDT 2024
% Result : Theorem 0.10s 0.33s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 125 ( 47 ~; 41 |; 27 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 31 ( 29 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f82,plain,
$false,
inference(subsumption_resolution,[],[f76,f31]) ).
fof(f31,plain,
~ well_ordering(inclusion_relation(sK2)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( ~ well_ordering(inclusion_relation(sK2))
& ordinal(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f13,f23]) ).
fof(f23,plain,
( ? [X0] :
( ~ well_ordering(inclusion_relation(X0))
& ordinal(X0) )
=> ( ~ well_ordering(inclusion_relation(sK2))
& ordinal(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0] :
( ~ well_ordering(inclusion_relation(X0))
& ordinal(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/sandbox/benchmark/theBenchmark.p',t7_wellord2) ).
fof(f76,plain,
well_ordering(inclusion_relation(sK2)),
inference(resolution,[],[f71,f63]) ).
fof(f63,plain,
! [X0] :
( ~ sP0(inclusion_relation(X0))
| well_ordering(inclusion_relation(X0)) ),
inference(resolution,[],[f37,f53]) ).
fof(f53,plain,
! [X0] : sP1(inclusion_relation(X0)),
inference(resolution,[],[f44,f35]) ).
fof(f35,plain,
! [X0] : relation(inclusion_relation(X0)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : relation(inclusion_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_wellord2) ).
fof(f44,plain,
! [X0] :
( ~ relation(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( sP1(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f14,f21,f20]) ).
fof(f20,plain,
! [X0] :
( sP0(X0)
<=> ( well_founded_relation(X0)
& connected(X0)
& antisymmetric(X0)
& transitive(X0)
& reflexive(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f21,plain,
! [X0] :
( ( well_ordering(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f14,plain,
! [X0] :
( ( well_ordering(X0)
<=> ( well_founded_relation(X0)
& connected(X0)
& antisymmetric(X0)
& transitive(X0)
& reflexive(X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( relation(X0)
=> ( well_ordering(X0)
<=> ( well_founded_relation(X0)
& connected(X0)
& antisymmetric(X0)
& transitive(X0)
& reflexive(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_wellord1) ).
fof(f37,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| well_ordering(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ( ( well_ordering(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ well_ordering(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f71,plain,
sP0(inclusion_relation(sK2)),
inference(subsumption_resolution,[],[f70,f34]) ).
fof(f34,plain,
! [X0] : reflexive(inclusion_relation(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : reflexive(inclusion_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_wellord2) ).
fof(f70,plain,
( sP0(inclusion_relation(sK2))
| ~ reflexive(inclusion_relation(sK2)) ),
inference(subsumption_resolution,[],[f69,f33]) ).
fof(f33,plain,
! [X0] : transitive(inclusion_relation(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : transitive(inclusion_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_wellord2) ).
fof(f69,plain,
( sP0(inclusion_relation(sK2))
| ~ transitive(inclusion_relation(sK2))
| ~ reflexive(inclusion_relation(sK2)) ),
inference(subsumption_resolution,[],[f68,f32]) ).
fof(f32,plain,
! [X0] : antisymmetric(inclusion_relation(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] : antisymmetric(inclusion_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_wellord2) ).
fof(f68,plain,
( sP0(inclusion_relation(sK2))
| ~ antisymmetric(inclusion_relation(sK2))
| ~ transitive(inclusion_relation(sK2))
| ~ reflexive(inclusion_relation(sK2)) ),
inference(subsumption_resolution,[],[f66,f58]) ).
fof(f58,plain,
connected(inclusion_relation(sK2)),
inference(resolution,[],[f45,f30]) ).
fof(f30,plain,
ordinal(sK2),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
! [X0] :
( ~ ordinal(X0)
| connected(inclusion_relation(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,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/sandbox/benchmark/theBenchmark.p',t4_wellord2) ).
fof(f66,plain,
( sP0(inclusion_relation(sK2))
| ~ connected(inclusion_relation(sK2))
| ~ antisymmetric(inclusion_relation(sK2))
| ~ transitive(inclusion_relation(sK2))
| ~ reflexive(inclusion_relation(sK2)) ),
inference(resolution,[],[f43,f60]) ).
fof(f60,plain,
well_founded_relation(inclusion_relation(sK2)),
inference(resolution,[],[f46,f30]) ).
fof(f46,plain,
! [X0] :
( ~ ordinal(X0)
| well_founded_relation(inclusion_relation(X0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,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/sandbox/benchmark/theBenchmark.p',t6_wellord2) ).
fof(f43,plain,
! [X0] :
( ~ well_founded_relation(X0)
| sP0(X0)
| ~ connected(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ reflexive(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ( sP0(X0)
| ~ well_founded_relation(X0)
| ~ connected(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ reflexive(X0) )
& ( ( well_founded_relation(X0)
& connected(X0)
& antisymmetric(X0)
& transitive(X0)
& reflexive(X0) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ( sP0(X0)
| ~ well_founded_relation(X0)
| ~ connected(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ reflexive(X0) )
& ( ( well_founded_relation(X0)
& connected(X0)
& antisymmetric(X0)
& transitive(X0)
& reflexive(X0) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU275+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n006.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 20:16:35 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % (3249)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.33 % (3254)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.33 % (3255)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.10/0.33 % (3252)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.10/0.33 % (3251)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.33 % (3250)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.33 % (3253)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.33 % (3256)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.33 TRYING [1]
% 0.10/0.33 Detected minimum model sizes of [1,1]
% 0.10/0.33 Detected maximum model sizes of [max,2]
% 0.10/0.33 TRYING [1,1]
% 0.10/0.33 Detected minimum model sizes of [1,1]
% 0.10/0.33 Detected maximum model sizes of [max,2]
% 0.10/0.33 TRYING [1]
% 0.10/0.33 TRYING [1,1]
% 0.10/0.33 TRYING [2,1]
% 0.10/0.33 % (3254)First to succeed.
% 0.10/0.33 TRYING [2]
% 0.10/0.33 TRYING [2,1]
% 0.10/0.33 Cannot enumerate next child to try in an incomplete setup
% 0.10/0.33 % (3251)Refutation not found, incomplete strategy% (3251)------------------------------
% 0.10/0.33 % (3251)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.33 TRYING [2]
% 0.10/0.33 % (3251)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.33
% 0.10/0.33 % (3251)Memory used [KB]: 731
% 0.10/0.33 % (3251)Time elapsed: 0.003 s
% 0.10/0.33 % (3251)Instructions burned: 3 (million)
% 0.10/0.33 % (3251)------------------------------
% 0.10/0.33 % (3251)------------------------------
% 0.10/0.33 Cannot enumerate next child to try in an incomplete setup
% 0.10/0.33 % (3253)Refutation not found, incomplete strategy% (3253)------------------------------
% 0.10/0.33 % (3253)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.33 % (3253)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.33
% 0.10/0.33 % (3253)Memory used [KB]: 732
% 0.10/0.33 % (3253)Time elapsed: 0.003 s
% 0.10/0.33 % (3253)Instructions burned: 3 (million)
% 0.10/0.33 % (3253)------------------------------
% 0.10/0.33 % (3253)------------------------------
% 0.10/0.33 TRYING [3]
% 0.10/0.33 % (3255)Also succeeded, but the first one will report.
% 0.10/0.33 % (3254)Refutation found. Thanks to Tanya!
% 0.10/0.33 % SZS status Theorem for theBenchmark
% 0.10/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.33 % (3254)------------------------------
% 0.10/0.33 % (3254)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.33 % (3254)Termination reason: Refutation
% 0.10/0.33
% 0.10/0.33 % (3254)Memory used [KB]: 741
% 0.10/0.33 % (3254)Time elapsed: 0.003 s
% 0.10/0.33 % (3254)Instructions burned: 4 (million)
% 0.10/0.33 % (3254)------------------------------
% 0.10/0.33 % (3254)------------------------------
% 0.10/0.33 % (3249)Success in time 0.016 s
%------------------------------------------------------------------------------