TSTP Solution File: FLD025-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD025-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n015.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 05:06:39 EDT 2024
% Result : Unsatisfiable 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 40 ( 11 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 110 ( 57 ~; 48 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f480,plain,
$false,
inference(avatar_sat_refutation,[],[f399,f405,f407,f463,f475,f479]) ).
fof(f479,plain,
spl0_42,
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f476,plain,
( $false
| spl0_42 ),
inference(resolution,[],[f474,f34]) ).
fof(f34,plain,
product(a,multiplicative_identity,b),
inference(resolution,[],[f10,f31]) ).
fof(f31,axiom,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/tmp/tmp.ZHp17OzYPf/Vampire---4.8_9628',product_5) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.ZHp17OzYPf/Vampire---4.8_9628',commutativity_multiplication) ).
fof(f474,plain,
( ~ product(a,multiplicative_identity,b)
| spl0_42 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f472,plain,
( spl0_42
<=> product(a,multiplicative_identity,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f475,plain,
( ~ spl0_32
| ~ spl0_42
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f468,f461,f472,f389]) ).
fof(f389,plain,
( spl0_32
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f461,plain,
( spl0_40
<=> ! [X0] :
( ~ product(multiplicative_identity,X0,a)
| ~ product(X0,multiplicative_identity,b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f468,plain,
( ~ product(a,multiplicative_identity,b)
| ~ defined(a)
| ~ spl0_40 ),
inference(resolution,[],[f462,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.ZHp17OzYPf/Vampire---4.8_9628',existence_of_identity_multiplication) ).
fof(f462,plain,
( ! [X0] :
( ~ product(multiplicative_identity,X0,a)
| ~ product(X0,multiplicative_identity,b) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f463,plain,
( ~ spl0_32
| spl0_40
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f456,f397,f461,f389]) ).
fof(f397,plain,
( spl0_34
<=> ! [X0] :
( ~ product(c,X0,d)
| ~ product(X0,b,a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f456,plain,
( ! [X0] :
( ~ product(multiplicative_identity,X0,a)
| ~ product(X0,multiplicative_identity,b)
| ~ defined(a) )
| ~ spl0_34 ),
inference(resolution,[],[f453,f36]) ).
fof(f36,plain,
! [X0] :
( product(X0,multiplicative_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f10,f8]) ).
fof(f453,plain,
( ! [X2,X0,X1] :
( ~ product(X2,X1,a)
| ~ product(multiplicative_identity,X0,X2)
| ~ product(X0,X1,b) )
| ~ spl0_34 ),
inference(resolution,[],[f413,f35]) ).
fof(f35,plain,
product(c,multiplicative_identity,d),
inference(resolution,[],[f10,f32]) ).
fof(f32,axiom,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox2/tmp/tmp.ZHp17OzYPf/Vampire---4.8_9628',product_6) ).
fof(f413,plain,
( ! [X2,X3,X0,X1] :
( ~ product(c,X0,d)
| ~ product(X1,X2,b)
| ~ product(X0,X1,X3)
| ~ product(X3,X2,a) )
| ~ spl0_34 ),
inference(resolution,[],[f398,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X1,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| ~ product(X4,X5,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.ZHp17OzYPf/Vampire---4.8_9628',associativity_multiplication_1) ).
fof(f398,plain,
( ! [X0] :
( ~ product(X0,b,a)
| ~ product(c,X0,d) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f407,plain,
spl0_32,
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| spl0_32 ),
inference(resolution,[],[f391,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/tmp/tmp.ZHp17OzYPf/Vampire---4.8_9628',a_is_defined) ).
fof(f391,plain,
( ~ defined(a)
| spl0_32 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f405,plain,
spl0_31,
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f404,plain,
( $false
| spl0_31 ),
inference(resolution,[],[f387,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/tmp/tmp.ZHp17OzYPf/Vampire---4.8_9628',c_is_defined) ).
fof(f387,plain,
( ~ defined(c)
| spl0_31 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f385,plain,
( spl0_31
<=> defined(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f399,plain,
( ~ spl0_32
| ~ spl0_31
| spl0_34 ),
inference(avatar_split_clause,[],[f372,f397,f385,f389]) ).
fof(f372,plain,
! [X0] :
( ~ product(c,X0,d)
| ~ product(X0,b,a)
| ~ defined(c)
| ~ defined(a) ),
inference(resolution,[],[f364,f47]) ).
fof(f47,plain,
! [X0,X1] :
( product(X1,X0,multiply(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f20,f10]) ).
fof(f20,axiom,
! [X3,X0] :
( product(X0,X3,multiply(X0,X3))
| ~ defined(X0)
| ~ defined(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.ZHp17OzYPf/Vampire---4.8_9628',totality_of_multiplication) ).
fof(f364,plain,
! [X2,X0,X1] :
( ~ product(X2,X1,multiply(a,c))
| ~ product(X2,X0,d)
| ~ product(X0,b,X1) ),
inference(resolution,[],[f7,f33]) ).
fof(f33,axiom,
~ product(d,b,multiply(a,c)),
file('/export/starexec/sandbox2/tmp/tmp.ZHp17OzYPf/Vampire---4.8_9628',not_product_7) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.ZHp17OzYPf/Vampire---4.8_9628',associativity_multiplication_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : FLD025-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.12 % 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
% 0.12/0.32 % Computer : n015.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 19:48:38 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.12/0.32 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.ZHp17OzYPf/Vampire---4.8_9628
% 0.60/0.78 % (9740)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 (2995ds/51Mi)
% 0.60/0.78 % (9741)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (9742)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78 % (9739)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 (2995ds/34Mi)
% 0.60/0.78 % (9743)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 (2995ds/34Mi)
% 0.60/0.78 % (9744)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78 % (9745)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 (2995ds/83Mi)
% 0.60/0.78 % (9746)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 (2995ds/56Mi)
% 0.60/0.79 % (9740)First to succeed.
% 0.60/0.79 % (9740)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9736"
% 0.60/0.79 % (9740)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (9740)------------------------------
% 0.60/0.79 % (9740)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (9740)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (9740)Memory used [KB]: 1174
% 0.60/0.79 % (9740)Time elapsed: 0.011 s
% 0.60/0.79 % (9740)Instructions burned: 17 (million)
% 0.60/0.79 % (9736)Success in time 0.452 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------