TSTP Solution File: HEN007-4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% 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 : n002.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 02:33:26 EDT 2024
% Result : Unsatisfiable 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 88 ( 3 equ)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 36 ( 21 ~; 14 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 54 ( 54 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 28 ( 27 !; 0 ?; 28 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f235,plain,
$false,
inference(subsumption_resolution,[],[f234,f14]) ).
tff(f14,axiom,
less_equal(a,b),
file('/export/starexec/sandbox2/tmp/tmp.qiEd46G8up/Vampire---4.8_1204',a_LE_b) ).
tff(f234,plain,
~ less_equal(a,b),
inference(subsumption_resolution,[],[f233,f31]) ).
tff(f31,plain,
! [X0: $i] : less_equal(X0,X0),
inference(resolution,[],[f28,f21]) ).
tff(f21,plain,
! [X0: $i] : sQ0_eqProxy($i,zero,divide(X0,X0)),
inference(equality_proxy_replacement,[],[f10,f16]) ).
tff(f16,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/sandbox2/tmp/tmp.qiEd46G8up/Vampire---4.8_1204',x_divide_x_is_zero) ).
tff(f28,plain,
! [X0: $i,X1: $i] :
( ~ sQ0_eqProxy($i,zero,divide(X0,X1))
| less_equal(X0,X1) ),
inference(forward_literal_rewriting,[],[f18,f24]) ).
tff(f24,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X2,X1)
| ~ sQ0_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f16]) ).
tff(f18,plain,
! [X0: $i,X1: $i] :
( less_equal(X0,X1)
| ~ sQ0_eqProxy($i,divide(X0,X1),zero) ),
inference(equality_proxy_replacement,[],[f2,f16]) ).
tff(f2,axiom,
! [X0: $i,X1: $i] :
( less_equal(X0,X1)
| ( divide(X0,X1) != zero ) ),
file('/export/starexec/sandbox2/tmp/tmp.qiEd46G8up/Vampire---4.8_1204',quotient_less_equal2) ).
tff(f233,plain,
( ~ less_equal(divide(c,a),divide(c,a))
| ~ less_equal(a,b) ),
inference(factoring,[],[f76]) ).
tff(f76,plain,
! [X0: $i,X1: $i] :
( ~ less_equal(X1,divide(c,a))
| ~ less_equal(X0,b)
| ~ less_equal(divide(c,X0),X1) ),
inference(resolution,[],[f54,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/sandbox2/tmp/tmp.qiEd46G8up/Vampire---4.8_1204',property_of_divide1) ).
tff(f54,plain,
! [X0: $i,X1: $i] :
( ~ less_equal(divide(c,X0),X1)
| ~ less_equal(X1,b)
| ~ less_equal(X0,divide(c,a)) ),
inference(resolution,[],[f40,f12]) ).
tff(f12,axiom,
! [X2: $i,X0: $i,X1: $i] :
( less_equal(X0,X2)
| ~ less_equal(X1,X2)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.qiEd46G8up/Vampire---4.8_1204',transitivity_of_less_equal) ).
tff(f40,plain,
! [X0: $i] :
( ~ less_equal(divide(c,X0),b)
| ~ less_equal(X0,divide(c,a)) ),
inference(resolution,[],[f13,f25]) ).
tff(f25,plain,
! [X0: $i] :
( ~ less_equal(divide(c,b),X0)
| ~ less_equal(X0,divide(c,a)) ),
inference(resolution,[],[f12,f15]) ).
tff(f15,axiom,
~ less_equal(divide(c,b),divide(c,a)),
file('/export/starexec/sandbox2/tmp/tmp.qiEd46G8up/Vampire---4.8_1204',prove_c_divide_b_LE_c_divide_a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % 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
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 16:49:25 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.36 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.qiEd46G8up/Vampire---4.8_1204
% 0.60/0.77 % (1413)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)
% 0.60/0.77 % (1416)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)
% 0.60/0.78 % (1409)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)
% 0.60/0.78 % (1410)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)
% 0.60/0.78 % (1411)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (1412)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)
% 0.60/0.78 % (1414)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)
% 0.60/0.78 % (1415)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)
% 0.60/0.78 % (1409)First to succeed.
% 0.60/0.78 % (1410)Also succeeded, but the first one will report.
% 0.60/0.78 % (1415)Also succeeded, but the first one will report.
% 0.60/0.79 % (1409)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (1409)------------------------------
% 0.60/0.79 % (1409)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (1409)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (1409)Memory used [KB]: 1093
% 0.60/0.79 % (1409)Time elapsed: 0.009 s
% 0.60/0.79 % (1409)Instructions burned: 13 (million)
% 0.60/0.79 % (1409)------------------------------
% 0.60/0.79 % (1409)------------------------------
% 0.60/0.79 % (1368)Success in time 0.408 s
% 0.60/0.79 % (1413)Instruction limit reached!
% 0.60/0.79 % (1413)------------------------------
% 0.60/0.79 % (1413)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (1413)Termination reason: Unknown
% 0.60/0.79 % (1413)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (1413)Memory used [KB]: 1211
% 0.60/0.79 % (1413)Time elapsed: 0.013 s
% 0.60/0.79 % (1413)Instructions burned: 36 (million)
% 0.60/0.79 % (1413)------------------------------
% 0.60/0.79 % (1413)------------------------------
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------