TSTP Solution File: FLD037-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD037-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Wed May 1 02:19:48 EDT 2024
% Result : Unsatisfiable 0.64s 0.80s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 32 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f143,plain,
$false,
inference(avatar_sat_refutation,[],[f97,f101,f141]) ).
fof(f141,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f139,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/tmp/tmp.0dJIcGmK2e/Vampire---4.8_30100',a_is_defined) ).
fof(f139,plain,
( ~ defined(a)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f138,f30]) ).
fof(f30,axiom,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.0dJIcGmK2e/Vampire---4.8_30100',a_not_equal_to_additive_identity_3) ).
fof(f138,plain,
( equalish(a,additive_identity)
| ~ defined(a)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f135,f31]) ).
fof(f31,axiom,
equalish(a,b),
file('/export/starexec/sandbox2/tmp/tmp.0dJIcGmK2e/Vampire---4.8_30100',a_equals_b_4) ).
fof(f135,plain,
( ~ equalish(a,b)
| equalish(a,additive_identity)
| ~ defined(a)
| ~ spl0_3 ),
inference(resolution,[],[f96,f56]) ).
fof(f56,plain,
! [X0] :
( equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(X0)))
| equalish(X0,additive_identity)
| ~ defined(X0) ),
inference(forward_literal_rewriting,[],[f7,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.0dJIcGmK2e/Vampire---4.8_30100',symmetry_of_equality) ).
fof(f7,axiom,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity) ),
file('/export/starexec/sandbox2/tmp/tmp.0dJIcGmK2e/Vampire---4.8_30100',existence_of_inverse_multiplication) ).
fof(f96,plain,
( ! [X0] :
( ~ equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(a)))
| ~ equalish(X0,b) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl0_3
<=> ! [X0] :
( ~ equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(a)))
| ~ equalish(X0,b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f101,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f99,f30]) ).
fof(f99,plain,
( equalish(a,additive_identity)
| spl0_1 ),
inference(subsumption_resolution,[],[f98,f28]) ).
fof(f98,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| spl0_1 ),
inference(resolution,[],[f88,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/tmp/tmp.0dJIcGmK2e/Vampire---4.8_30100',well_definedness_of_multiplicative_inverse) ).
fof(f88,plain,
( ~ defined(multiplicative_inverse(a))
| spl0_1 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_1
<=> defined(multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f97,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f83,f95,f86]) ).
fof(f83,plain,
! [X0] :
( ~ equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(a)))
| ~ defined(multiplicative_inverse(a))
| ~ equalish(X0,b) ),
inference(resolution,[],[f42,f25]) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X2),multiply(X1,X2))
| ~ defined(X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.0dJIcGmK2e/Vampire---4.8_30100',compatibility_of_equality_and_multiplication) ).
fof(f42,plain,
! [X0] :
( ~ equalish(X0,multiply(b,multiplicative_inverse(a)))
| ~ equalish(multiplicative_identity,X0) ),
inference(resolution,[],[f23,f32]) ).
fof(f32,axiom,
~ equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
file('/export/starexec/sandbox2/tmp/tmp.0dJIcGmK2e/Vampire---4.8_30100',multiplicative_identity_not_equal_to_multiply_5) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.0dJIcGmK2e/Vampire---4.8_30100',transitivity_of_equality) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : FLD037-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31 % Computer : n016.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 18:37:26 EDT 2024
% 0.17/0.31 % CPUTime :
% 0.17/0.31 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.17/0.31 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.0dJIcGmK2e/Vampire---4.8_30100
% 0.61/0.80 % (30215)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.80 % (30214)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80 % (30216)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 (2995ds/34Mi)
% 0.61/0.80 % (30212)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 (2995ds/34Mi)
% 0.61/0.80 % (30217)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.80 % (30213)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 (2995ds/51Mi)
% 0.61/0.80 % (30218)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 (2995ds/83Mi)
% 0.61/0.80 % (30219)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 (2995ds/56Mi)
% 0.61/0.80 % (30212)First to succeed.
% 0.64/0.80 % (30212)Refutation found. Thanks to Tanya!
% 0.64/0.80 % SZS status Unsatisfiable for Vampire---4
% 0.64/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.80 % (30212)------------------------------
% 0.64/0.80 % (30212)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.80 % (30212)Termination reason: Refutation
% 0.64/0.80
% 0.64/0.80 % (30212)Memory used [KB]: 1075
% 0.64/0.80 % (30212)Time elapsed: 0.006 s
% 0.64/0.80 % (30212)Instructions burned: 7 (million)
% 0.64/0.80 % (30212)------------------------------
% 0.64/0.80 % (30212)------------------------------
% 0.64/0.80 % (30208)Success in time 0.481 s
% 0.64/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------