TSTP Solution File: SWV416+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV416+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n014.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 10:29:32 EDT 2024
% Result : Theorem 0.60s 0.75s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 3 unt; 1 typ; 0 def)
% Number of atoms : 360 ( 12 equ)
% Maximal formula atoms : 8 ( 9 avg)
% Number of connectives : 90 ( 36 ~; 29 |; 13 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 268 ( 268 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 7 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 58 ( 45 !; 12 ?; 20 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_20,type,
sQ5_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f143,plain,
$false,
inference(avatar_sat_refutation,[],[f124,f130,f142]) ).
tff(f142,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_contradiction_clause,[],[f141]) ).
tff(f141,plain,
( $false
| ~ spl6_1
| spl6_2 ),
inference(subsumption_resolution,[],[f140,f131]) ).
tff(f131,plain,
( contains_pq(i(triple(sK0,sK1,sK2)),sK3)
| ~ spl6_1 ),
inference(forward_literal_rewriting,[],[f118,f101]) ).
tff(f101,plain,
! [X0: $i,X1: $i] :
( contains_pq(X0,X1)
| ~ pi_sharp_remove(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
tff(f84,plain,
! [X0,X1] :
( ( pi_sharp_remove(X0,X1)
| ~ contains_pq(X0,X1) )
& ( contains_pq(X0,X1)
| ~ pi_sharp_remove(X0,X1) ) ),
inference(nnf_transformation,[],[f56]) ).
tff(f56,axiom,
! [X0,X1] :
( pi_sharp_remove(X0,X1)
<=> contains_pq(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.IvIGr6M5vN/Vampire---4.8_28083',ax56) ).
tff(f118,plain,
( pi_sharp_remove(i(triple(sK0,sK1,sK2)),sK3)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f117]) ).
tff(f117,plain,
( spl6_1
<=> pi_sharp_remove(i(triple(sK0,sK1,sK2)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
tff(f140,plain,
( ~ contains_pq(i(triple(sK0,sK1,sK2)),sK3)
| spl6_2 ),
inference(resolution,[],[f107,f123]) ).
tff(f123,plain,
( ~ sQ5_eqProxy($i,i(remove_cpq(triple(sK0,sK1,sK2),sK3)),remove_pq(i(triple(sK0,sK1,sK2)),sK3))
| spl6_2 ),
inference(avatar_component_clause,[],[f121]) ).
tff(f121,plain,
( spl6_2
<=> sQ5_eqProxy($i,i(remove_cpq(triple(sK0,sK1,sK2),sK3)),remove_pq(i(triple(sK0,sK1,sK2)),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
tff(f107,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( sQ5_eqProxy($i,i(remove_cpq(triple(X0,X1,X2),X3)),remove_pq(i(triple(X0,X1,X2)),X3))
| ~ contains_pq(i(triple(X0,X1,X2)),X3) ),
inference(equality_proxy_replacement,[],[f88,f105]) ).
tff(f105,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ5_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
tff(f88,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) )
| ~ contains_pq(i(triple(X0,X1,X2)),X3) ),
inference(cnf_transformation,[],[f72]) ).
tff(f72,plain,
! [X0,X1,X2,X3] :
( ( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) )
| ~ contains_pq(i(triple(X0,X1,X2)),X3) ),
inference(ennf_transformation,[],[f64]) ).
tff(f64,axiom,
! [X0,X1,X2,X3] :
( contains_pq(i(triple(X0,X1,X2)),X3)
=> ( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.IvIGr6M5vN/Vampire---4.8_28083',main3_li34) ).
tff(f130,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f129]) ).
tff(f129,plain,
( $false
| spl6_1 ),
inference(subsumption_resolution,[],[f128,f89]) ).
tff(f89,plain,
pi_remove(triple(sK0,sK1,sK2),sK3),
inference(cnf_transformation,[],[f81]) ).
tff(f81,plain,
( ( ( i(remove_cpq(triple(sK0,sK1,sK2),sK3)) != remove_pq(i(triple(sK0,sK1,sK2)),sK3) )
| ~ pi_sharp_remove(i(triple(sK0,sK1,sK2)),sK3) )
& phi(remove_cpq(triple(sK0,sK1,sK2),sK3))
& pi_remove(triple(sK0,sK1,sK2),sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f74,f80]) ).
tff(f80,plain,
( ? [X0,X1,X2,X3] :
( ( ( i(remove_cpq(triple(X0,X1,X2),X3)) != remove_pq(i(triple(X0,X1,X2)),X3) )
| ~ pi_sharp_remove(i(triple(X0,X1,X2)),X3) )
& phi(remove_cpq(triple(X0,X1,X2),X3))
& pi_remove(triple(X0,X1,X2),X3) )
=> ( ( ( i(remove_cpq(triple(sK0,sK1,sK2),sK3)) != remove_pq(i(triple(sK0,sK1,sK2)),sK3) )
| ~ pi_sharp_remove(i(triple(sK0,sK1,sK2)),sK3) )
& phi(remove_cpq(triple(sK0,sK1,sK2),sK3))
& pi_remove(triple(sK0,sK1,sK2),sK3) ) ),
introduced(choice_axiom,[]) ).
tff(f74,plain,
? [X0,X1,X2,X3] :
( ( ( i(remove_cpq(triple(X0,X1,X2),X3)) != remove_pq(i(triple(X0,X1,X2)),X3) )
| ~ pi_sharp_remove(i(triple(X0,X1,X2)),X3) )
& phi(remove_cpq(triple(X0,X1,X2),X3))
& pi_remove(triple(X0,X1,X2),X3) ),
inference(flattening,[],[f73]) ).
tff(f73,plain,
? [X0,X1,X2,X3] :
( ( ( i(remove_cpq(triple(X0,X1,X2),X3)) != remove_pq(i(triple(X0,X1,X2)),X3) )
| ~ pi_sharp_remove(i(triple(X0,X1,X2)),X3) )
& phi(remove_cpq(triple(X0,X1,X2),X3))
& pi_remove(triple(X0,X1,X2),X3) ),
inference(ennf_transformation,[],[f66]) ).
tff(f66,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( pi_remove(triple(X0,X1,X2),X3)
=> ( phi(remove_cpq(triple(X0,X1,X2),X3))
=> ( ( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) )
& pi_sharp_remove(i(triple(X0,X1,X2)),X3) ) ) ),
inference(negated_conjecture,[],[f65]) ).
tff(f65,conjecture,
! [X0,X1,X2,X3] :
( pi_remove(triple(X0,X1,X2),X3)
=> ( phi(remove_cpq(triple(X0,X1,X2),X3))
=> ( ( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) )
& pi_sharp_remove(i(triple(X0,X1,X2)),X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.IvIGr6M5vN/Vampire---4.8_28083',co3) ).
tff(f128,plain,
( ~ pi_remove(triple(sK0,sK1,sK2),sK3)
| spl6_1 ),
inference(resolution,[],[f127,f125]) ).
tff(f125,plain,
( ~ contains_pq(i(triple(sK0,sK1,sK2)),sK3)
| spl6_1 ),
inference(resolution,[],[f102,f119]) ).
tff(f119,plain,
( ~ pi_sharp_remove(i(triple(sK0,sK1,sK2)),sK3)
| spl6_1 ),
inference(avatar_component_clause,[],[f117]) ).
tff(f102,plain,
! [X0: $i,X1: $i] :
( pi_sharp_remove(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
tff(f127,plain,
! [X0: $i,X1: $i] :
( contains_pq(i(X0),X1)
| ~ pi_remove(X0,X1) ),
inference(forward_literal_rewriting,[],[f100,f101]) ).
tff(f100,plain,
! [X0: $i,X1: $i] :
( pi_sharp_remove(i(X0),X1)
| ~ pi_remove(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
tff(f78,plain,
! [X0,X1] :
( pi_sharp_remove(i(X0),X1)
| ~ pi_remove(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
tff(f68,plain,
! [X0,X1] :
( pi_remove(X0,X1)
=> pi_sharp_remove(i(X0),X1) ),
inference(unused_predicate_definition_removal,[],[f57]) ).
tff(f57,axiom,
! [X0,X1] :
( pi_remove(X0,X1)
<=> pi_sharp_remove(i(X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.IvIGr6M5vN/Vampire---4.8_28083',ax57) ).
tff(f124,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f108,f121,f117]) ).
tff(f108,plain,
( ~ sQ5_eqProxy($i,i(remove_cpq(triple(sK0,sK1,sK2),sK3)),remove_pq(i(triple(sK0,sK1,sK2)),sK3))
| ~ pi_sharp_remove(i(triple(sK0,sK1,sK2)),sK3) ),
inference(equality_proxy_replacement,[],[f91,f105]) ).
tff(f91,plain,
( ( i(remove_cpq(triple(sK0,sK1,sK2),sK3)) != remove_pq(i(triple(sK0,sK1,sK2)),sK3) )
| ~ pi_sharp_remove(i(triple(sK0,sK1,sK2)),sK3) ),
inference(cnf_transformation,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV416+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:55:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 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.IvIGr6M5vN/Vampire---4.8_28083
% 0.60/0.74 % (28333)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)
% 0.60/0.74 % (28335)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.74 % (28334)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)
% 0.60/0.74 % (28337)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)
% 0.60/0.74 % (28338)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)
% 0.60/0.74 % (28336)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)
% 0.60/0.74 % (28340)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)
% 0.60/0.75 % (28333)First to succeed.
% 0.60/0.75 % (28333)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28319"
% 0.60/0.75 % (28336)Also succeeded, but the first one will report.
% 0.60/0.75 % (28339)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)
% 0.60/0.75 % (28333)Refutation found. Thanks to Tanya!
% 0.60/0.75 % SZS status Theorem for Vampire---4
% 0.60/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.75 % (28333)------------------------------
% 0.60/0.75 % (28333)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (28333)Termination reason: Refutation
% 0.60/0.75
% 0.60/0.75 % (28333)Memory used [KB]: 1123
% 0.60/0.75 % (28333)Time elapsed: 0.003 s
% 0.60/0.75 % (28333)Instructions burned: 5 (million)
% 0.60/0.75 % (28319)Success in time 0.378 s
% 0.60/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------