TSTP Solution File: SEU382+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU382+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 : n016.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 : Sun May 5 09:38:00 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 19 unt; 0 def)
% Number of atoms : 77 ( 34 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 63 ( 25 ~; 18 |; 14 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 55 ( 53 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2252,plain,
$false,
inference(trivial_inequality_removal,[],[f2241]) ).
fof(f2241,plain,
powerset(sK8) != powerset(sK8),
inference(superposition,[],[f247,f2223]) ).
fof(f2223,plain,
! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
inference(superposition,[],[f2210,f251]) ).
fof(f251,plain,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
inference(cnf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_yellow_1) ).
fof(f2210,plain,
! [X0] : the_carrier(incl_POSet(X0)) = X0,
inference(equality_resolution,[],[f1426]) ).
fof(f1426,plain,
! [X0,X1] :
( incl_POSet(X0) != incl_POSet(X1)
| the_carrier(incl_POSet(X0)) = X1 ),
inference(superposition,[],[f940,f802]) ).
fof(f802,plain,
! [X0] : incl_POSet(X0) = rel_str_of(the_carrier(incl_POSet(X0)),the_InternalRel(incl_POSet(X0))),
inference(subsumption_resolution,[],[f791,f300]) ).
fof(f300,plain,
! [X0] : rel_str(incl_POSet(X0)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( rel_str(incl_POSet(X0))
& strict_rel_str(incl_POSet(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
fof(f791,plain,
! [X0] :
( incl_POSet(X0) = rel_str_of(the_carrier(incl_POSet(X0)),the_InternalRel(incl_POSet(X0)))
| ~ rel_str(incl_POSet(X0)) ),
inference(resolution,[],[f329,f299]) ).
fof(f299,plain,
! [X0] : strict_rel_str(incl_POSet(X0)),
inference(cnf_transformation,[],[f33]) ).
fof(f329,plain,
! [X0] :
( ~ strict_rel_str(X0)
| rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ( strict_rel_str(X0)
=> rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
fof(f940,plain,
! [X2,X0,X1] :
( incl_POSet(X0) != rel_str_of(X1,X2)
| X0 = X1 ),
inference(subsumption_resolution,[],[f925,f665]) ).
fof(f665,plain,
! [X0] : relation_of2(inclusion_order(X0),X0,X0),
inference(resolution,[],[f456,f298]) ).
fof(f298,plain,
! [X0] : relation_of2_as_subset(inclusion_order(X0),X0,X0),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] : relation_of2_as_subset(inclusion_order(X0),X0,X0),
inference(pure_predicate_removal,[],[f95]) ).
fof(f95,plain,
! [X0] :
( relation_of2_as_subset(inclusion_order(X0),X0,X0)
& reflexive(inclusion_order(X0)) ),
inference(pure_predicate_removal,[],[f94]) ).
fof(f94,plain,
! [X0] :
( relation_of2_as_subset(inclusion_order(X0),X0,X0)
& antisymmetric(inclusion_order(X0))
& reflexive(inclusion_order(X0)) ),
inference(pure_predicate_removal,[],[f93]) ).
fof(f93,plain,
! [X0] :
( relation_of2_as_subset(inclusion_order(X0),X0,X0)
& transitive(inclusion_order(X0))
& antisymmetric(inclusion_order(X0))
& reflexive(inclusion_order(X0)) ),
inference(pure_predicate_removal,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( relation_of2_as_subset(inclusion_order(X0),X0,X0)
& v1_partfun1(inclusion_order(X0),X0,X0)
& transitive(inclusion_order(X0))
& antisymmetric(inclusion_order(X0))
& reflexive(inclusion_order(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_1) ).
fof(f456,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f925,plain,
! [X2,X0,X1] :
( incl_POSet(X0) != rel_str_of(X1,X2)
| X0 = X1
| ~ relation_of2(inclusion_order(X0),X0,X0) ),
inference(superposition,[],[f445,f252]) ).
fof(f252,plain,
! [X0] : incl_POSet(X0) = rel_str_of(X0,inclusion_order(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] : incl_POSet(X0) = rel_str_of(X0,inclusion_order(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_yellow_1) ).
fof(f445,plain,
! [X2,X3,X0,X1] :
( rel_str_of(X0,X1) != rel_str_of(X2,X3)
| X0 = X2
| ~ relation_of2(X1,X0,X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| rel_str_of(X0,X1) != rel_str_of(X2,X3) )
| ~ relation_of2(X1,X0,X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0,X1] :
( relation_of2(X1,X0,X0)
=> ! [X2,X3] :
( rel_str_of(X0,X1) = rel_str_of(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f247,plain,
powerset(sK8) != the_carrier(boole_POSet(sK8)),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
powerset(sK8) != the_carrier(boole_POSet(sK8)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f99,f194]) ).
fof(f194,plain,
( ? [X0] : powerset(X0) != the_carrier(boole_POSet(X0))
=> powerset(sK8) != the_carrier(boole_POSet(sK8)) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] : powerset(X0) != the_carrier(boole_POSet(X0)),
inference(ennf_transformation,[],[f85]) ).
fof(f85,negated_conjecture,
~ ! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
inference(negated_conjecture,[],[f84]) ).
fof(f84,conjecture,
! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_waybel_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU382+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n016.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 : Fri May 3 11:32:45 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (3960)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (3964)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (3963)WARNING: value z3 for option sas not known
% 0.14/0.37 % (3962)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (3963)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (3965)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (3961)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (3966)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (3967)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.38 TRYING [4]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.40 TRYING [3]
% 0.21/0.40 TRYING [4]
% 0.21/0.41 TRYING [5]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [5]
% 0.21/0.43 % (3963)First to succeed.
% 0.21/0.43 % (3963)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3960"
% 0.21/0.43 % (3963)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43 % (3963)------------------------------
% 0.21/0.43 % (3963)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.43 % (3963)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (3963)Memory used [KB]: 1873
% 0.21/0.43 % (3963)Time elapsed: 0.066 s
% 0.21/0.43 % (3963)Instructions burned: 112 (million)
% 0.21/0.43 % (3960)Success in time 0.074 s
%------------------------------------------------------------------------------