TSTP Solution File: FLD031-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD031-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 05:06:42 EDT 2024
% Result : Unsatisfiable 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 41 ~; 36 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f786,plain,
$false,
inference(avatar_sat_refutation,[],[f109,f785]) ).
fof(f785,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f784,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f783,f30]) ).
fof(f30,axiom,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.DV9l7toByJ/Vampire---4.8_21853',a_not_equal_to_additive_identity_3) ).
fof(f783,plain,
( equalish(a,additive_identity)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f782,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.DV9l7toByJ/Vampire---4.8_21853',a_is_defined) ).
fof(f782,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f779,f29]) ).
fof(f29,axiom,
equalish(a,multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.DV9l7toByJ/Vampire---4.8_21853',a_equals_multiplicative_identity_2) ).
fof(f779,plain,
( ~ equalish(a,multiplicative_identity)
| ~ defined(a)
| equalish(a,additive_identity)
| ~ spl0_1 ),
inference(resolution,[],[f726,f7]) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/tmp/tmp.DV9l7toByJ/Vampire---4.8_21853',existence_of_inverse_multiplication) ).
fof(f726,plain,
( ! [X0] :
( ~ equalish(multiply(X0,multiplicative_inverse(a)),multiplicative_identity)
| ~ equalish(X0,multiplicative_identity) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f723,f94]) ).
fof(f94,plain,
( defined(multiplicative_inverse(a))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_1
<=> defined(multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f723,plain,
( ! [X0] :
( ~ equalish(multiply(X0,multiplicative_inverse(a)),multiplicative_identity)
| ~ defined(multiplicative_inverse(a))
| ~ equalish(X0,multiplicative_identity) )
| ~ spl0_1 ),
inference(resolution,[],[f611,f25]) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X2),multiply(X1,X2))
| ~ defined(X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.DV9l7toByJ/Vampire---4.8_21853',compatibility_of_equality_and_multiplication) ).
fof(f611,plain,
( ! [X0] :
( ~ equalish(X0,multiply(multiplicative_identity,multiplicative_inverse(a)))
| ~ equalish(X0,multiplicative_identity) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f609,f94]) ).
fof(f609,plain,
! [X0] :
( ~ equalish(X0,multiply(multiplicative_identity,multiplicative_inverse(a)))
| ~ equalish(X0,multiplicative_identity)
| ~ defined(multiplicative_inverse(a)) ),
inference(resolution,[],[f120,f6]) ).
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.DV9l7toByJ/Vampire---4.8_21853',existence_of_identity_multiplication) ).
fof(f120,plain,
! [X0,X1] :
( ~ equalish(X1,multiplicative_inverse(a))
| ~ equalish(X0,X1)
| ~ equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f81,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.DV9l7toByJ/Vampire---4.8_21853',transitivity_of_equality) ).
fof(f81,plain,
! [X0] :
( ~ equalish(X0,multiplicative_inverse(a))
| ~ equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f37,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.DV9l7toByJ/Vampire---4.8_21853',symmetry_of_equality) ).
fof(f37,plain,
! [X0] :
( ~ equalish(multiplicative_inverse(a),X0)
| ~ equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f31,f23]) ).
fof(f31,axiom,
~ equalish(multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.DV9l7toByJ/Vampire---4.8_21853',multiplicative_inverses_not_equal) ).
fof(f109,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f108]) ).
fof(f108,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f107,f30]) ).
fof(f107,plain,
( equalish(a,additive_identity)
| spl0_1 ),
inference(subsumption_resolution,[],[f106,f28]) ).
fof(f106,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| spl0_1 ),
inference(resolution,[],[f95,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/tmp/tmp.DV9l7toByJ/Vampire---4.8_21853',well_definedness_of_multiplicative_inverse) ).
fof(f95,plain,
( ~ defined(multiplicative_inverse(a))
| spl0_1 ),
inference(avatar_component_clause,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : FLD031-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:46:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.DV9l7toByJ/Vampire---4.8_21853
% 0.56/0.75 % (21969)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.75 % (21962)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75 % (21964)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (21966)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75 % (21963)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.75 % (21965)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.75 % (21967)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.75 % (21968)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.77 % (21967)First to succeed.
% 0.60/0.77 % (21967)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21961"
% 0.60/0.77 % (21962)Also succeeded, but the first one will report.
% 0.60/0.77 % (21967)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (21967)------------------------------
% 0.60/0.77 % (21967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (21967)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (21967)Memory used [KB]: 1198
% 0.60/0.77 % (21967)Time elapsed: 0.016 s
% 0.60/0.77 % (21967)Instructions burned: 25 (million)
% 0.60/0.77 % (21961)Success in time 0.395 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------