TSTP Solution File: CAT006-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : CAT006-1 : 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 : n012.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 0.59s 0.76s
% Output : Refutation 0.59s
% 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(f68,plain,
$false,
inference(subsumption_resolution,[],[f65,f19]) ).
tff(f19,axiom,
defined(h,a),
file('/export/starexec/sandbox/tmp/tmp.IChEAHJpKF/Vampire---4.8_10299',ha_defined) ).
tff(f65,plain,
~ defined(h,a),
inference(resolution,[],[f60,f35]) ).
tff(f35,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ defined(X0,X1) ),
inference(resolution,[],[f6,f15]) ).
tff(f15,axiom,
! [X0: $i] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox/tmp/tmp.IChEAHJpKF/Vampire---4.8_10299',product_on_codomain) ).
tff(f6,axiom,
! [X2: $i,X0: $i,X1: $i,X4: $i] :
( ~ product(X1,X2,X4)
| ~ defined(X0,X4)
| defined(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.IChEAHJpKF/Vampire---4.8_10299',category_theory_axiom3) ).
tff(f60,plain,
~ defined(h,codomain(a)),
inference(subsumption_resolution,[],[f59,f11]) ).
tff(f11,axiom,
! [X0: $i] : identity_map(codomain(X0)),
file('/export/starexec/sandbox/tmp/tmp.IChEAHJpKF/Vampire---4.8_10299',codomain_is_an_identity_map) ).
tff(f59,plain,
( ~ identity_map(codomain(a))
| ~ defined(h,codomain(a)) ),
inference(subsumption_resolution,[],[f58,f20]) ).
tff(f20,axiom,
identity_map(h),
file('/export/starexec/sandbox/tmp/tmp.IChEAHJpKF/Vampire---4.8_10299',h_is_the_identity_map) ).
tff(f58,plain,
( ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(h,codomain(a)) ),
inference(resolution,[],[f42,f17]) ).
tff(f17,axiom,
! [X0: $i,X1: $i] :
( product(X0,X1,X0)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.IChEAHJpKF/Vampire---4.8_10299',identity2) ).
tff(f42,plain,
! [X0: $i] :
( ~ product(X0,codomain(a),h)
| ~ identity_map(X0) ),
inference(subsumption_resolution,[],[f40,f2]) ).
tff(f2,axiom,
! [X2: $i,X0: $i,X1: $i] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.IChEAHJpKF/Vampire---4.8_10299',associative_property1) ).
tff(f40,plain,
! [X0: $i] :
( ~ product(X0,codomain(a),h)
| ~ identity_map(X0)
| ~ defined(X0,codomain(a)) ),
inference(resolution,[],[f38,f16]) ).
tff(f16,axiom,
! [X0: $i,X1: $i] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.IChEAHJpKF/Vampire---4.8_10299',identity1) ).
tff(f38,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,X1,codomain(a))
| ~ product(X0,X1,h) ),
inference(resolution,[],[f24,f23]) ).
tff(f23,plain,
~ sQ0_eqProxy($i,h,codomain(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,
h != codomain(a),
file('/export/starexec/sandbox/tmp/tmp.IChEAHJpKF/Vampire---4.8_10299',prove_codomain_of_a_is_h) ).
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.IChEAHJpKF/Vampire---4.8_10299',composition_is_well_defined) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CAT006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % 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
% 0.14/0.36 % Computer : n012.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 : Fri May 3 18:10:38 EDT 2024
% 0.21/0.36 % CPUTime :
% 0.21/0.36 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.21/0.36 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.IChEAHJpKF/Vampire---4.8_10299
% 0.56/0.75 % (10569)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)
% 0.56/0.76 % (10570)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)
% 0.56/0.76 % (10563)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)
% 0.56/0.76 % (10566)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)
% 0.56/0.76 % (10565)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76 % (10564)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)
% 0.56/0.76 % (10567)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)
% 0.56/0.76 % (10568)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)
% 0.59/0.76 % (10568)Refutation not found, incomplete strategy% (10568)------------------------------
% 0.59/0.76 % (10568)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (10568)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (10568)Memory used [KB]: 959
% 0.59/0.76 % (10568)Time elapsed: 0.002 s
% 0.59/0.76 % (10568)Instructions burned: 2 (million)
% 0.59/0.76 % (10568)------------------------------
% 0.59/0.76 % (10568)------------------------------
% 0.59/0.76 % (10563)First to succeed.
% 0.59/0.76 % (10563)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10559"
% 0.59/0.76 % (10569)Also succeeded, but the first one will report.
% 0.59/0.76 % (10563)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (10563)------------------------------
% 0.59/0.76 % (10563)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (10563)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (10563)Memory used [KB]: 990
% 0.59/0.76 % (10563)Time elapsed: 0.004 s
% 0.59/0.76 % (10563)Instructions burned: 4 (million)
% 0.59/0.76 % (10559)Success in time 0.388 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------