TSTP Solution File: RNG010-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG010-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n026.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 03:41:05 EDT 2024
% Result : Unsatisfiable 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 35 ( 3 equ)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 6 ( 4 ~; 1 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 24 ( 24 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 19 ( 18 !; 0 ?; 19 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f68,plain,
$false,
inference(resolution,[],[f64,f56]) ).
tff(f56,plain,
! [X0: $i,X1: $i] : ~ sQ0_eqProxy($i,multiply(X1,multiply(X0,X1)),multiply(multiply(X1,X0),X1)),
inference(forward_literal_rewriting,[],[f32,f52]) ).
tff(f52,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X2,X1)
| ~ sQ0_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f28]) ).
tff(f28,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f32,plain,
! [X0: $i,X1: $i] : ~ sQ0_eqProxy($i,multiply(multiply(X1,X0),X1),multiply(X1,multiply(X0,X1))),
inference(equality_proxy_replacement,[],[f19,f28]) ).
tff(f19,axiom,
! [X0: $i,X1: $i] : ( multiply(multiply(X1,X0),X1) != multiply(X1,multiply(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.hamzIqxgVV/Vampire---4.8_30934',middle_law) ).
tff(f64,plain,
! [X0: $i,X1: $i] : sQ0_eqProxy($i,multiply(X0,multiply(X0,X1)),multiply(multiply(X0,X0),X1)),
inference(forward_literal_rewriting,[],[f39,f52]) ).
tff(f39,plain,
! [X0: $i,X1: $i] : sQ0_eqProxy($i,multiply(multiply(X0,X0),X1),multiply(X0,multiply(X0,X1))),
inference(equality_proxy_replacement,[],[f10,f28]) ).
tff(f10,axiom,
! [X0: $i,X1: $i] : ( multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.hamzIqxgVV/Vampire---4.8_30934',left_alternative) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : RNG010-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.14 % 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
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 17:51:49 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 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.hamzIqxgVV/Vampire---4.8_30934
% 0.55/0.75 % (31129)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)
% 0.55/0.75 % (31136)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)
% 0.55/0.75 % (31129)First to succeed.
% 0.55/0.75 % (31131)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (31130)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)
% 0.55/0.75 % (31132)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)
% 0.55/0.75 % (31133)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)
% 0.55/0.75 % (31134)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)
% 0.55/0.75 % (31135)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)
% 0.55/0.75 % (31133)Refutation not found, incomplete strategy% (31133)------------------------------
% 0.55/0.75 % (31133)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (31133)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (31133)Memory used [KB]: 982
% 0.55/0.75 % (31133)Time elapsed: 0.003 s
% 0.55/0.75 % (31133)Instructions burned: 3 (million)
% 0.55/0.75 % (31133)------------------------------
% 0.55/0.75 % (31133)------------------------------
% 0.55/0.75 % (31132)Also succeeded, but the first one will report.
% 0.55/0.75 % (31129)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (31129)------------------------------
% 0.55/0.75 % (31129)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (31129)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (31129)Memory used [KB]: 991
% 0.55/0.75 % (31129)Time elapsed: 0.003 s
% 0.55/0.75 % (31129)Instructions burned: 4 (million)
% 0.55/0.75 % (31129)------------------------------
% 0.55/0.75 % (31129)------------------------------
% 0.55/0.75 % (31085)Success in time 0.386 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------