TSTP Solution File: HEN009-4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HEN009-4 : 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/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 : Wed May 1 02:33:28 EDT 2024
% Result : Unsatisfiable 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 129 ( 5 equ)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 32 ( 19 ~; 12 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 96 ( 96 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 26 ( 25 !; 0 ?; 26 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f46,plain,
$false,
inference(subsumption_resolution,[],[f45,f32]) ).
tff(f32,plain,
! [X0: $i] : less_equal(X0,X0),
inference(resolution,[],[f30,f19]) ).
tff(f19,plain,
! [X0: $i] : sQ0_eqProxy($i,zero,divide(X0,X0)),
inference(equality_proxy_replacement,[],[f10,f17]) ).
tff(f17,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f10,axiom,
! [X0: $i] : ( zero = divide(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.t9mWYgLsNL/Vampire---4.8_20124',x_divide_x_is_zero) ).
tff(f30,plain,
! [X0: $i,X1: $i] :
( ~ sQ0_eqProxy($i,zero,divide(X0,X1))
| less_equal(X0,X1) ),
inference(forward_literal_rewriting,[],[f23,f27]) ).
tff(f27,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X2,X1)
| ~ sQ0_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f17]) ).
tff(f23,plain,
! [X0: $i,X1: $i] :
( less_equal(X0,X1)
| ~ sQ0_eqProxy($i,divide(X0,X1),zero) ),
inference(equality_proxy_replacement,[],[f2,f17]) ).
tff(f2,axiom,
! [X0: $i,X1: $i] :
( less_equal(X0,X1)
| ( divide(X0,X1) != zero ) ),
file('/export/starexec/sandbox/tmp/tmp.t9mWYgLsNL/Vampire---4.8_20124',quotient_less_equal2) ).
tff(f45,plain,
~ less_equal(divide(identity,a),divide(identity,a)),
inference(forward_literal_rewriting,[],[f43,f13]) ).
tff(f13,axiom,
! [X2: $i,X0: $i,X1: $i] :
( less_equal(divide(X0,X2),X1)
| ~ less_equal(divide(X0,X1),X2) ),
file('/export/starexec/sandbox/tmp/tmp.t9mWYgLsNL/Vampire---4.8_20124',property_of_divide1) ).
tff(f43,plain,
~ less_equal(divide(identity,divide(identity,a)),a),
inference(resolution,[],[f41,f14]) ).
tff(f14,axiom,
! [X2: $i,X0: $i,X1: $i] :
( less_equal(divide(X2,X1),divide(X2,X0))
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.t9mWYgLsNL/Vampire---4.8_20124',property_of_divide2) ).
tff(f41,plain,
~ less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))),
inference(subsumption_resolution,[],[f40,f32]) ).
tff(f40,plain,
( ~ less_equal(divide(identity,divide(identity,a)),divide(identity,divide(identity,a)))
| ~ less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) ),
inference(forward_literal_rewriting,[],[f38,f13]) ).
tff(f38,plain,
( ~ less_equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))
| ~ less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) ),
inference(resolution,[],[f22,f18]) ).
tff(f18,plain,
~ sQ0_eqProxy($i,divide(identity,a),divide(identity,divide(identity,divide(identity,a)))),
inference(equality_proxy_replacement,[],[f16,f17]) ).
tff(f16,axiom,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/tmp/tmp.t9mWYgLsNL/Vampire---4.8_20124',prove_this) ).
tff(f22,plain,
! [X0: $i,X1: $i] :
( sQ0_eqProxy($i,X0,X1)
| ~ less_equal(X1,X0)
| ~ less_equal(X0,X1) ),
inference(equality_proxy_replacement,[],[f6,f17]) ).
tff(f6,axiom,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ less_equal(X1,X0)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.t9mWYgLsNL/Vampire---4.8_20124',less_equal_and_equal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HEN009-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.15 % 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 : Tue Apr 30 16:23:48 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_HRN 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.t9mWYgLsNL/Vampire---4.8_20124
% 0.57/0.74 % (20378)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)
% 0.57/0.74 % (20378)Refutation not found, incomplete strategy% (20378)------------------------------
% 0.57/0.74 % (20378)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (20378)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (20378)Memory used [KB]: 961
% 0.57/0.74 % (20378)Time elapsed: 0.002 s
% 0.57/0.74 % (20378)Instructions burned: 2 (million)
% 0.57/0.74 % (20378)------------------------------
% 0.57/0.74 % (20378)------------------------------
% 0.57/0.74 % (20372)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)
% 0.57/0.74 % (20374)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74 % (20373)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)
% 0.57/0.74 % (20376)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)
% 0.57/0.74 % (20377)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)
% 0.57/0.74 % (20375)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)
% 0.57/0.74 % (20375)Refutation not found, incomplete strategy% (20375)------------------------------
% 0.57/0.74 % (20375)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (20375)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (20375)Memory used [KB]: 961
% 0.57/0.74 % (20375)Time elapsed: 0.003 s
% 0.57/0.74 % (20375)Instructions burned: 2 (million)
% 0.57/0.74 % (20375)------------------------------
% 0.57/0.74 % (20375)------------------------------
% 0.57/0.74 % (20372)First to succeed.
% 0.57/0.74 % (20376)Also succeeded, but the first one will report.
% 0.57/0.75 % (20379)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)
% 0.57/0.75 % (20372)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (20372)------------------------------
% 0.57/0.75 % (20372)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (20372)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (20372)Memory used [KB]: 999
% 0.57/0.75 % (20372)Time elapsed: 0.003 s
% 0.57/0.75 % (20372)Instructions burned: 3 (million)
% 0.57/0.75 % (20372)------------------------------
% 0.57/0.75 % (20372)------------------------------
% 0.57/0.75 % (20365)Success in time 0.374 s
% 0.57/0.75 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.57/0.75 20365 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.t9mWYgLsNL/Vampire---4.8_20124
% 0.57/0.75 % (20365)------------------------------
% 0.57/0.75 % (20365)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (20365)Termination reason: Unknown
% 0.57/0.75 % (20365)Termination phase: Unknown
% 0.57/0.75
% 0.57/0.75 % (20365)Memory used [KB]: 450
% 0.57/0.75 % (20365)Time elapsed: 0.375 s
% 0.57/0.75 % (20365)Instructions burned: 953 (million)
% 0.57/0.75 % (20365)------------------------------
% 0.57/0.75 % (20365)------------------------------
% 0.57/0.75 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------