TSTP Solution File: SET676+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET676+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n032.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 03:48:35 EDT 2024
% Result : Theorem 0.41s 0.59s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 54 ( 23 ~; 17 |; 5 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 75 ( 75 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 30 ( 27 !; 2 ?; 15 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_5,type,
sQ4_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f73,plain,
$false,
inference(resolution,[],[f69,f42]) ).
tff(f42,plain,
~ ilf_type(cross_product(sK0,sK0),identity_relation_of_type(sK0)),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
( ~ ilf_type(cross_product(sK0,sK0),identity_relation_of_type(sK0))
& ilf_type(sK0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f24,f31]) ).
tff(f31,plain,
( ? [X0] :
( ~ ilf_type(cross_product(X0,X0),identity_relation_of_type(X0))
& ilf_type(X0,set_type) )
=> ( ~ ilf_type(cross_product(sK0,sK0),identity_relation_of_type(sK0))
& ilf_type(sK0,set_type) ) ),
introduced(choice_axiom,[]) ).
tff(f24,plain,
? [X0] :
( ~ ilf_type(cross_product(X0,X0),identity_relation_of_type(X0))
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
tff(f21,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(cross_product(X0,X0),identity_relation_of_type(X0)) ),
inference(negated_conjecture,[],[f20]) ).
tff(f20,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(cross_product(X0,X0),identity_relation_of_type(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.Lp9xMFvPEp/Vampire---4.8_25977',prove_relset_1_41) ).
tff(f69,plain,
! [X0: $i] : ilf_type(cross_product(X0,X0),identity_relation_of_type(X0)),
inference(resolution,[],[f68,f64]) ).
tff(f64,plain,
! [X0: $i,X1: $i] : ilf_type(cross_product(X0,X1),relation_type(X0,X1)),
inference(subsumption_resolution,[],[f63,f43]) ).
tff(f43,plain,
! [X0: $i] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f19]) ).
tff(f19,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/tmp/tmp.Lp9xMFvPEp/Vampire---4.8_25977',p19) ).
tff(f63,plain,
! [X0: $i,X1: $i] :
( ilf_type(cross_product(X0,X1),relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f53,f43]) ).
tff(f53,plain,
! [X0: $i,X1: $i] :
( ilf_type(cross_product(X0,X1),relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X0] :
( ! [X1] :
( ilf_type(cross_product(X0,X1),relation_type(X0,X1))
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.Lp9xMFvPEp/Vampire---4.8_25977',p1) ).
tff(f68,plain,
! [X0: $i,X1: $i] :
( ~ ilf_type(X1,relation_type(X0,X0))
| ilf_type(X1,identity_relation_of_type(X0)) ),
inference(subsumption_resolution,[],[f67,f43]) ).
tff(f67,plain,
! [X0: $i,X1: $i] :
( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f56,f43]) ).
tff(f56,plain,
! [X0: $i,X1: $i] :
( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0)) )
& ( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f30]) ).
tff(f30,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Lp9xMFvPEp/Vampire---4.8_25977',p4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET676+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10 % 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
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Apr 30 17:22:51 EDT 2024
% 0.11/0.29 % CPUTime :
% 0.11/0.29 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.30 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.Lp9xMFvPEp/Vampire---4.8_25977
% 0.41/0.59 % (26230)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 (2997ds/51Mi)
% 0.41/0.59 % (26229)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 (2997ds/34Mi)
% 0.41/0.59 % (26231)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.41/0.59 % (26235)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 (2997ds/83Mi)
% 0.41/0.59 % (26234)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.41/0.59 % (26232)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.41/0.59 % (26236)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 (2997ds/56Mi)
% 0.41/0.59 % (26234)Refutation not found, incomplete strategy% (26234)------------------------------
% 0.41/0.59 % (26234)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.41/0.59 % (26234)Termination reason: Refutation not found, incomplete strategy
% 0.41/0.59
% 0.41/0.59 % (26234)Memory used [KB]: 1020
% 0.41/0.59 % (26234)Time elapsed: 0.002 s
% 0.41/0.59 % (26234)Instructions burned: 2 (million)
% 0.41/0.59 % (26234)------------------------------
% 0.41/0.59 % (26234)------------------------------
% 0.41/0.59 % (26232)Refutation not found, incomplete strategy% (26232)------------------------------
% 0.41/0.59 % (26232)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.41/0.59 % (26229)First to succeed.
% 0.41/0.59 % (26232)Termination reason: Refutation not found, incomplete strategy
% 0.41/0.59
% 0.41/0.59 % (26232)Memory used [KB]: 1021
% 0.41/0.59 % (26232)Time elapsed: 0.002 s
% 0.41/0.59 % (26232)Instructions burned: 2 (million)
% 0.41/0.59 % (26232)------------------------------
% 0.41/0.59 % (26232)------------------------------
% 0.41/0.59 % (26229)Refutation found. Thanks to Tanya!
% 0.41/0.59 % SZS status Theorem for Vampire---4
% 0.41/0.59 % SZS output start Proof for Vampire---4
% See solution above
% 0.41/0.59 % (26229)------------------------------
% 0.41/0.59 % (26229)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.41/0.59 % (26229)Termination reason: Refutation
% 0.41/0.59
% 0.41/0.59 % (26229)Memory used [KB]: 1049
% 0.41/0.59 % (26229)Time elapsed: 0.002 s
% 0.41/0.59 % (26229)Instructions burned: 4 (million)
% 0.41/0.59 % (26229)------------------------------
% 0.41/0.59 % (26229)------------------------------
% 0.41/0.59 % (26225)Success in time 0.289 s
% 0.41/0.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------