TSTP Solution File: CAT010-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : CAT010-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 04:43:07 EDT 2024
% Result : Unsatisfiable 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 29 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 141 ( 3 equ)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 74 ( 42 ~; 31 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 81 ( 81 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 51 ( 50 !; 0 ?; 51 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_4,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f118,plain,
$false,
inference(subsumption_resolution,[],[f114,f19]) ).
tff(f19,axiom,
defined(b,a),
file('/export/starexec/sandbox2/tmp/tmp.IjcsyFsTZF/Vampire---4.8_25617',ba_defined) ).
tff(f114,plain,
~ defined(b,a),
inference(resolution,[],[f105,f15]) ).
tff(f15,axiom,
! [X0: $i] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.IjcsyFsTZF/Vampire---4.8_25617',product_on_codomain) ).
tff(f105,plain,
! [X0: $i] :
( ~ product(codomain(b),b,X0)
| ~ defined(X0,a) ),
inference(resolution,[],[f52,f68]) ).
tff(f68,plain,
~ defined(codomain(b),compose(b,a)),
inference(resolution,[],[f62,f36]) ).
tff(f36,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ defined(X0,X1) ),
inference(resolution,[],[f6,f15]) ).
tff(f6,axiom,
! [X2: $i,X0: $i,X1: $i,X4: $i] :
( ~ product(X1,X2,X4)
| ~ defined(X0,X4)
| defined(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.IjcsyFsTZF/Vampire---4.8_25617',category_theory_axiom3) ).
tff(f62,plain,
~ defined(codomain(b),codomain(compose(b,a))),
inference(subsumption_resolution,[],[f61,f11]) ).
tff(f11,axiom,
! [X0: $i] : identity_map(codomain(X0)),
file('/export/starexec/sandbox2/tmp/tmp.IjcsyFsTZF/Vampire---4.8_25617',codomain_is_an_identity_map) ).
tff(f61,plain,
( ~ identity_map(codomain(compose(b,a)))
| ~ defined(codomain(b),codomain(compose(b,a))) ),
inference(subsumption_resolution,[],[f60,f11]) ).
tff(f60,plain,
( ~ identity_map(codomain(b))
| ~ identity_map(codomain(compose(b,a)))
| ~ defined(codomain(b),codomain(compose(b,a))) ),
inference(resolution,[],[f45,f17]) ).
tff(f17,axiom,
! [X0: $i,X1: $i] :
( product(X0,X1,X0)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.IjcsyFsTZF/Vampire---4.8_25617',identity2) ).
tff(f45,plain,
! [X0: $i] :
( ~ product(X0,codomain(compose(b,a)),codomain(b))
| ~ identity_map(X0) ),
inference(subsumption_resolution,[],[f43,f2]) ).
tff(f2,axiom,
! [X2: $i,X0: $i,X1: $i] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.IjcsyFsTZF/Vampire---4.8_25617',associative_property1) ).
tff(f43,plain,
! [X0: $i] :
( ~ product(X0,codomain(compose(b,a)),codomain(b))
| ~ identity_map(X0)
| ~ defined(X0,codomain(compose(b,a))) ),
inference(resolution,[],[f40,f16]) ).
tff(f16,axiom,
! [X0: $i,X1: $i] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.IjcsyFsTZF/Vampire---4.8_25617',identity1) ).
tff(f40,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,X1,codomain(compose(b,a)))
| ~ product(X0,X1,codomain(b)) ),
inference(resolution,[],[f23,f22]) ).
tff(f22,plain,
~ sQ0_eqProxy($i,codomain(compose(b,a)),codomain(b)),
inference(equality_proxy_replacement,[],[f20,f21]) ).
tff(f21,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f20,axiom,
codomain(compose(b,a)) != codomain(b),
file('/export/starexec/sandbox2/tmp/tmp.IjcsyFsTZF/Vampire---4.8_25617',prove_codomain_of_ba_equals_codomain_of_b) ).
tff(f23,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,f21]) ).
tff(f18,axiom,
! [X2: $i,X0: $i,X1: $i,X6: $i] :
( ( X2 = X6 )
| ~ product(X0,X1,X6)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.IjcsyFsTZF/Vampire---4.8_25617',composition_is_well_defined) ).
tff(f52,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( defined(X2,compose(X3,X1))
| ~ defined(X0,X1)
| ~ product(X2,X3,X0) ),
inference(subsumption_resolution,[],[f48,f3]) ).
tff(f3,axiom,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ product(X0,X1,X3)
| ~ defined(X3,X2)
| defined(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.IjcsyFsTZF/Vampire---4.8_25617',associative_property2) ).
tff(f48,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ defined(X0,X1)
| defined(X2,compose(X3,X1))
| ~ product(X2,X3,X0)
| ~ defined(X3,X1) ),
inference(resolution,[],[f4,f1]) ).
tff(f1,axiom,
! [X0: $i,X1: $i] :
( product(X0,X1,compose(X0,X1))
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.IjcsyFsTZF/Vampire---4.8_25617',closure_of_composition) ).
tff(f4,axiom,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ product(X1,X2,X4)
| ~ defined(X3,X2)
| defined(X0,X4)
| ~ product(X0,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.IjcsyFsTZF/Vampire---4.8_25617',category_theory_axiom1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : CAT010-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n009.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 18:10:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.37 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.IjcsyFsTZF/Vampire---4.8_25617
% 0.57/0.75 % (25977)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 % (25970)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)
% 0.57/0.75 % (25972)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (25973)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)
% 0.57/0.75 % (25971)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)
% 0.57/0.75 % (25974)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)
% 0.57/0.75 % (25975)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)
% 0.57/0.75 % (25976)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)
% 0.57/0.76 % (25975)Refutation not found, incomplete strategy% (25975)------------------------------
% 0.57/0.76 % (25975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (25975)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (25975)Memory used [KB]: 960
% 0.57/0.76 % (25975)Time elapsed: 0.002 s
% 0.57/0.76 % (25975)Instructions burned: 2 (million)
% 0.57/0.76 % (25975)------------------------------
% 0.57/0.76 % (25975)------------------------------
% 0.60/0.76 % (25970)First to succeed.
% 0.60/0.76 % (25970)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25882"
% 0.60/0.76 % (25970)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (25970)------------------------------
% 0.60/0.76 % (25970)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (25970)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (25970)Memory used [KB]: 1004
% 0.60/0.76 % (25970)Time elapsed: 0.006 s
% 0.60/0.76 % (25970)Instructions burned: 8 (million)
% 0.60/0.76 % (25882)Success in time 0.381 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------