TSTP Solution File: CAT005-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : CAT005-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.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 04:43:05 EDT 2024
% Result : Unsatisfiable 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 23 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 81 ( 3 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 48 ( 28 ~; 19 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 39 ( 39 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 31 ( 30 !; 0 ?; 31 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_4,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f116,plain,
$false,
inference(subsumption_resolution,[],[f110,f19]) ).
tff(f19,axiom,
defined(a,d),
file('/export/starexec/sandbox/tmp/tmp.cRiSNmPt0g/Vampire---4.8_26951',ad_defined) ).
tff(f110,plain,
~ defined(a,d),
inference(resolution,[],[f92,f32]) ).
tff(f32,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ defined(X0,X1) ),
inference(resolution,[],[f3,f14]) ).
tff(f14,axiom,
! [X0: $i] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.cRiSNmPt0g/Vampire---4.8_26951',product_on_domain) ).
tff(f3,axiom,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ product(X0,X1,X3)
| ~ defined(X3,X2)
| defined(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.cRiSNmPt0g/Vampire---4.8_26951',associative_property2) ).
tff(f92,plain,
~ defined(domain(a),d),
inference(subsumption_resolution,[],[f91,f10]) ).
tff(f10,axiom,
! [X0: $i] : identity_map(domain(X0)),
file('/export/starexec/sandbox/tmp/tmp.cRiSNmPt0g/Vampire---4.8_26951',domain_is_an_identity_map) ).
tff(f91,plain,
( ~ identity_map(domain(a))
| ~ defined(domain(a),d) ),
inference(subsumption_resolution,[],[f90,f20]) ).
tff(f20,axiom,
identity_map(d),
file('/export/starexec/sandbox/tmp/tmp.cRiSNmPt0g/Vampire---4.8_26951',d_is_identity_map) ).
tff(f90,plain,
( ~ identity_map(d)
| ~ identity_map(domain(a))
| ~ defined(domain(a),d) ),
inference(resolution,[],[f48,f16]) ).
tff(f16,axiom,
! [X0: $i,X1: $i] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.cRiSNmPt0g/Vampire---4.8_26951',identity1) ).
tff(f48,plain,
! [X0: $i] :
( ~ product(domain(a),X0,d)
| ~ identity_map(X0) ),
inference(subsumption_resolution,[],[f46,f2]) ).
tff(f2,axiom,
! [X2: $i,X0: $i,X1: $i] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.cRiSNmPt0g/Vampire---4.8_26951',associative_property1) ).
tff(f46,plain,
! [X0: $i] :
( ~ product(domain(a),X0,d)
| ~ identity_map(X0)
| ~ defined(domain(a),X0) ),
inference(resolution,[],[f38,f17]) ).
tff(f17,axiom,
! [X0: $i,X1: $i] :
( product(X0,X1,X0)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.cRiSNmPt0g/Vampire---4.8_26951',identity2) ).
tff(f38,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,X1,domain(a))
| ~ product(X0,X1,d) ),
inference(resolution,[],[f24,f23]) ).
tff(f23,plain,
~ sQ0_eqProxy($i,d,domain(a)),
inference(equality_proxy_replacement,[],[f21,f22]) ).
tff(f22,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f21,axiom,
d != domain(a),
file('/export/starexec/sandbox/tmp/tmp.cRiSNmPt0g/Vampire---4.8_26951',prove_domain_of_a_is_d) ).
tff(f24,plain,
! [X2: $i,X0: $i,X1: $i,X6: $i] :
( sQ0_eqProxy($i,X2,X6)
| ~ product(X0,X1,X6)
| ~ product(X0,X1,X2) ),
inference(equality_proxy_replacement,[],[f18,f22]) ).
tff(f18,axiom,
! [X2: $i,X0: $i,X1: $i,X6: $i] :
( ( X2 = X6 )
| ~ product(X0,X1,X6)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.cRiSNmPt0g/Vampire---4.8_26951',composition_is_well_defined) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CAT005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.14 % 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
% 0.12/0.35 % Computer : n004.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri May 3 18:09:38 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.12/0.35 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.cRiSNmPt0g/Vampire---4.8_26951
% 0.54/0.74 % (27059)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)
% 0.54/0.74 % (27062)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)
% 0.54/0.74 % (27061)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74 % (27063)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)
% 0.54/0.74 % (27060)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)
% 0.54/0.74 % (27064)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)
% 0.54/0.74 % (27065)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)
% 0.54/0.74 % (27066)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)
% 0.54/0.74 % (27064)Refutation not found, incomplete strategy% (27064)------------------------------
% 0.54/0.74 % (27064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (27064)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (27064)Memory used [KB]: 959
% 0.54/0.74 % (27064)Time elapsed: 0.002 s
% 0.54/0.74 % (27064)Instructions burned: 2 (million)
% 0.54/0.74 % (27064)------------------------------
% 0.54/0.74 % (27064)------------------------------
% 0.54/0.74 % (27059)First to succeed.
% 0.54/0.74 % (27059)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27058"
% 0.54/0.74 % (27062)Also succeeded, but the first one will report.
% 0.54/0.74 % (27059)Refutation found. Thanks to Tanya!
% 0.54/0.74 % SZS status Unsatisfiable for Vampire---4
% 0.54/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.74 % (27059)------------------------------
% 0.54/0.74 % (27059)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (27059)Termination reason: Refutation
% 0.54/0.74
% 0.54/0.74 % (27059)Memory used [KB]: 1000
% 0.54/0.74 % (27059)Time elapsed: 0.003 s
% 0.54/0.74 % (27059)Instructions burned: 6 (million)
% 0.54/0.74 % (27058)Success in time 0.385 s
% 0.54/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------