TSTP Solution File: ITP209_2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP209_2 : TPTP v8.1.2. Released v8.0.0.
% 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 : n018.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 06:50:28 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 28 ( 14 unt; 14 typ; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 3 ( 2 usr)
% Number of type conns : 10 ( 6 >; 4 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 22 ( 15 !; 0 ?; 22 :)
% ( 7 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_7,type,
a: $tType ).
tff(func_def_0,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_1,type,
fFalse: bool ).
tff(func_def_2,type,
fTrue: bool ).
tff(func_def_3,type,
a2: a ).
tff(func_def_4,type,
b: a ).
tff(func_def_5,type,
c: a ).
tff(func_def_6,type,
f: fun(a,fun(a,a)) ).
tff(pred_def_1,type,
syntax_ac_operator:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).
tff(pred_def_2,type,
syntax7388354845996824322omatch:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).
tff(pred_def_3,type,
syntax2379306206330768139omatch:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).
tff(pred_def_4,type,
pp: bool > $o ).
tff(f29,plain,
$false,
inference(trivial_inequality_removal,[],[f28]) ).
tff(f28,plain,
aa(a,a,aa(a,fun(a,a),f,a2),aa(a,a,aa(a,fun(a,a),f,b),c)) != aa(a,a,aa(a,fun(a,a),f,a2),aa(a,a,aa(a,fun(a,a),f,b),c)),
inference(backward_demodulation,[],[f27,f25]) ).
tff(f25,plain,
! [X0: a,X1: a] : ( aa(a,a,aa(a,fun(a,a),f,X0),X1) = aa(a,a,aa(a,fun(a,a),f,X1),X0) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: a,X1: a] : ( aa(a,a,aa(a,fun(a,a),f,X0),X1) = aa(a,a,aa(a,fun(a,a),f,X1),X0) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X2: a,X3: a] : ( aa(a,a,aa(a,fun(a,a),f,X2),X3) = aa(a,a,aa(a,fun(a,a),f,X3),X2) ),
file('/export/starexec/sandbox/tmp/tmp.NJrNY98j03/Vampire---4.8_6499',fact_1_commute) ).
tff(f27,plain,
aa(a,a,aa(a,fun(a,a),f,a2),aa(a,a,aa(a,fun(a,a),f,c),b)) != aa(a,a,aa(a,fun(a,a),f,a2),aa(a,a,aa(a,fun(a,a),f,b),c)),
inference(forward_demodulation,[],[f26,f23]) ).
tff(f23,plain,
! [X2: a,X0: a,X1: a] : ( aa(a,a,aa(a,fun(a,a),f,X0),aa(a,a,aa(a,fun(a,a),f,X1),X2)) = aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,X0),X1)),X2) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: a,X1: a,X2: a] : ( aa(a,a,aa(a,fun(a,a),f,X0),aa(a,a,aa(a,fun(a,a),f,X1),X2)) = aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,X0),X1)),X2) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X2: a,X3: a,X4: a] : ( aa(a,a,aa(a,fun(a,a),f,X2),aa(a,a,aa(a,fun(a,a),f,X3),X4)) = aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,X2),X3)),X4) ),
file('/export/starexec/sandbox/tmp/tmp.NJrNY98j03/Vampire---4.8_6499',fact_3_right__assoc) ).
tff(f26,plain,
aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),b)),c) != aa(a,a,aa(a,fun(a,a),f,a2),aa(a,a,aa(a,fun(a,a),f,c),b)),
inference(backward_demodulation,[],[f22,f23]) ).
tff(f22,plain,
aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),b)),c) != aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),c)),b),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),b)),c) != aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),c)),b),
inference(flattening,[],[f16]) ).
tff(f16,negated_conjecture,
( ~ aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),b)),c) = aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),c)),b) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),b)),c) = aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),c)),b),
file('/export/starexec/sandbox/tmp/tmp.NJrNY98j03/Vampire---4.8_6499',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP209_2 : TPTP v8.1.2. Released v8.0.0.
% 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 : n018.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 18:59:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TF1_THM_EQU_NAR problem
% 0.16/0.37 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.NJrNY98j03/Vampire---4.8_6499
% 0.56/0.75 % (6841)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)
% 0.56/0.75 % (6834)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)
% 0.56/0.75 % (6836)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (6835)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)
% 0.56/0.75 % (6841)Refutation not found, incomplete strategy% (6841)------------------------------
% 0.56/0.75 % (6841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (6841)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (6841)Memory used [KB]: 975
% 0.56/0.75 % (6841)Time elapsed: 0.002 s
% 0.56/0.75 % (6841)Instructions burned: 4 (million)
% 0.56/0.75 % (6837)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)
% 0.56/0.75 % (6838)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)
% 0.56/0.75 % (6839)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)
% 0.56/0.75 % (6840)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)
% 0.56/0.75 % (6841)------------------------------
% 0.56/0.75 % (6841)------------------------------
% 0.56/0.75 % (6840)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.56/0.75 % (6840)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.56/0.75 % (6837)First to succeed.
% 0.56/0.75 % (6838)Refutation not found, incomplete strategy% (6838)------------------------------
% 0.56/0.75 % (6838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (6836)Also succeeded, but the first one will report.
% 0.56/0.75 % (6839)Also succeeded, but the first one will report.
% 0.56/0.75 % (6838)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (6838)Memory used [KB]: 989
% 0.56/0.75 % (6838)Time elapsed: 0.003 s
% 0.56/0.75 % (6838)Instructions burned: 4 (million)
% 0.56/0.75 % (6837)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6750"
% 0.56/0.75 % (6838)------------------------------
% 0.56/0.75 % (6838)------------------------------
% 0.56/0.75 % (6835)Also succeeded, but the first one will report.
% 0.56/0.75 % (6840)Also succeeded, but the first one will report.
% 0.56/0.75 % (6834)Refutation not found, incomplete strategy% (6834)------------------------------
% 0.56/0.75 % (6834)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (6834)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (6834)Memory used [KB]: 1057
% 0.56/0.75 % (6834)Time elapsed: 0.004 s
% 0.56/0.75 % (6834)Instructions burned: 5 (million)
% 0.56/0.75 % (6845)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.75 % (6837)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (6837)------------------------------
% 0.56/0.75 % (6837)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (6837)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (6837)Memory used [KB]: 980
% 0.56/0.75 % (6837)Time elapsed: 0.003 s
% 0.56/0.75 % (6837)Instructions burned: 4 (million)
% 0.56/0.75 % (6750)Success in time 0.38 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------