TSTP Solution File: NUM878_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM878_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n022.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 08:16:10 EDT 2024
% Result : Theorem 0.57s 0.74s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 13 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 1 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 20 ( 0 atm; 8 fun; 4 num; 8 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 12 !; 2 ?; 15 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f39,plain,
$false,
inference(resolution,[],[f38,f33]) ).
tff(f33,plain,
! [X0: $int] : sQ0_eqProxy($int,0,$product(X0,0)),
inference(equality_proxy_replacement,[],[f17,f24]) ).
tff(f24,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f17,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_149,[]) ).
tff(f38,plain,
! [X0: $int] : ~ sQ0_eqProxy($int,X0,$product(X0,X0)),
inference(resolution,[],[f36,f25]) ).
tff(f25,plain,
! [X0: $int] : ~ sQ0_eqProxy($int,$product(X0,X0),X0),
inference(equality_proxy_replacement,[],[f22,f24]) ).
tff(f22,plain,
! [X0: $int] : ( $product(X0,X0) != X0 ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: $int] : ( $product(X0,X0) != X0 ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : ( $product(X0,X0) = X0 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $int] : ( $product(X0,X0) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.u3hkvMZkyG/Vampire---4.8_12800',product_idempotent_element) ).
tff(f36,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X2,X1)
| ~ sQ0_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM878_1 : TPTP v8.1.2. Released v5.0.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 15:12:52 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TF0_THM_EQU_ARI problem
% 0.14/0.35 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.u3hkvMZkyG/Vampire---4.8_12800
% 0.57/0.73 % (12914)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)
% 0.57/0.73 % (12908)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)
% 0.57/0.73 % (12910)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73 % (12911)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)
% 0.57/0.73 % (12912)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)
% 0.57/0.73 % (12913)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)
% 0.57/0.73 % (12911)Refutation not found, incomplete strategy% (12911)------------------------------
% 0.57/0.73 % (12911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (12911)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (12911)Memory used [KB]: 954
% 0.57/0.73 % (12911)Time elapsed: 0.003 s
% 0.57/0.73 % (12911)Instructions burned: 2 (million)
% 0.57/0.73 % (12908)First to succeed.
% 0.57/0.73 % (12912)Also succeeded, but the first one will report.
% 0.57/0.73 % (12911)------------------------------
% 0.57/0.73 % (12911)------------------------------
% 0.57/0.73 % (12908)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12907"
% 0.57/0.73 % (12910)Also succeeded, but the first one will report.
% 0.57/0.74 % (12915)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)
% 0.57/0.74 % (12908)Refutation found. Thanks to Tanya!
% 0.57/0.74 % SZS status Theorem for Vampire---4
% 0.57/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74 % (12908)------------------------------
% 0.57/0.74 % (12908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (12908)Termination reason: Refutation
% 0.57/0.74
% 0.57/0.74 % (12908)Memory used [KB]: 976
% 0.57/0.74 % (12908)Time elapsed: 0.003 s
% 0.57/0.74 % (12908)Instructions burned: 3 (million)
% 0.57/0.74 % (12907)Success in time 0.374 s
% 0.57/0.74 % Vampire---4.8 exiting
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