TSTP Solution File: ARI119_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI119_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.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 02:08:14 EDT 2024
% Result : Theorem 0.44s 0.72s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 21 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 5 |; 4 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 39 ( 0 atm; 7 fun; 23 num; 9 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 : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 10 !; 4 ?; 15 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f41,plain,
$false,
inference(resolution,[],[f37,f40]) ).
tff(f40,plain,
~ sQ0_eqProxy($int,16,16),
inference(evaluation,[],[f27]) ).
tff(f27,plain,
~ sQ0_eqProxy($int,16,$product(4,4)),
inference(equality_proxy_replacement,[],[f24,f26]) ).
tff(f26,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f24,plain,
16 != $product(4,4),
inference(equality_resolution,[],[f23]) ).
tff(f23,plain,
! [X0: $int] :
( ( 4 != X0 )
| ( 16 != $product(X0,4) ) ),
inference(equality_resolution,[],[f22]) ).
tff(f22,plain,
! [X0: $int,X1: $int] :
( ( 4 != X1 )
| ( 4 != X0 )
| ( $product(X0,X1) != 16 ) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: $int,X1: $int] :
( ( 4 != X1 )
| ( 4 != X0 )
| ( $product(X0,X1) != 16 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $int,X1: $int] :
( ( 4 = X1 )
& ( 4 = X0 )
& ( $product(X0,X1) = 16 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $int,X1: $int] :
( ( 4 = X1 )
& ( 4 = X0 )
& ( $product(X0,X1) = 16 ) ),
file('/export/starexec/sandbox2/tmp/tmp.2oVckSElZC/Vampire---4.8_10716',product_4_4_16) ).
tff(f37,plain,
! [X0: $tType,X1: X0] : sQ0_eqProxy(X0,X1,X1),
inference(equality_proxy_axiom,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ARI119_1 : TPTP v8.1.2. Released v5.0.0.
% 0.06/0.14 % 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
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 19:11:48 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TF0_THM_EQU_ARI problem
% 0.13/0.35 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.2oVckSElZC/Vampire---4.8_10716
% 0.44/0.71 % (10825)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)
% 0.44/0.71 % (10831)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)
% 0.44/0.71 % (10828)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)
% 0.44/0.71 % (10827)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.44/0.71 % (10829)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)
% 0.44/0.71 % (10830)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)
% 0.44/0.71 % (10826)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)
% 0.44/0.71 % (10832)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)
% 0.44/0.71 % (10825)First to succeed.
% 0.44/0.71 % (10828)Also succeeded, but the first one will report.
% 0.44/0.72 % (10825)Refutation found. Thanks to Tanya!
% 0.44/0.72 % SZS status Theorem for Vampire---4
% 0.44/0.72 % SZS output start Proof for Vampire---4
% See solution above
% 0.44/0.72 % (10825)------------------------------
% 0.44/0.72 % (10825)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.44/0.72 % (10825)Termination reason: Refutation
% 0.44/0.72
% 0.44/0.72 % (10825)Memory used [KB]: 963
% 0.44/0.72 % (10825)Time elapsed: 0.002 s
% 0.44/0.72 % (10825)Instructions burned: 3 (million)
% 0.44/0.72 % (10825)------------------------------
% 0.44/0.72 % (10825)------------------------------
% 0.44/0.72 % (10824)Success in time 0.347 s
% 0.55/0.72 % Vampire---4.8 exiting
%------------------------------------------------------------------------------