TSTP Solution File: RNG021-7 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG021-7 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 08:53:27 EDT 2024
% Result : Unsatisfiable 0.61s 0.75s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 14 ( 14 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,plain,
$false,
inference(subsumption_resolution,[],[f36,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.FlqeVe4wt6/Vampire---4.8_24432',associativity_for_addition) ).
fof(f36,plain,
add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(multiply(u,multiply(x,additive_inverse(y))),multiply(v,multiply(x,additive_inverse(y)))))) != add(add(multiply(multiply(u,x),y),multiply(multiply(v,x),y)),add(multiply(u,multiply(x,additive_inverse(y))),multiply(v,multiply(x,additive_inverse(y))))),
inference(forward_demodulation,[],[f35,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.FlqeVe4wt6/Vampire---4.8_24432',distribute2) ).
fof(f35,plain,
add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(multiply(u,multiply(x,additive_inverse(y))),multiply(v,multiply(x,additive_inverse(y)))))) != add(multiply(add(multiply(u,x),multiply(v,x)),y),add(multiply(u,multiply(x,additive_inverse(y))),multiply(v,multiply(x,additive_inverse(y))))),
inference(forward_demodulation,[],[f34,f9]) ).
fof(f34,plain,
add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(multiply(u,multiply(x,additive_inverse(y))),multiply(v,multiply(x,additive_inverse(y)))))) != add(multiply(multiply(add(u,v),x),y),add(multiply(u,multiply(x,additive_inverse(y))),multiply(v,multiply(x,additive_inverse(y))))),
inference(forward_demodulation,[],[f33,f18]) ).
fof(f18,axiom,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
file('/export/starexec/sandbox/tmp/tmp.FlqeVe4wt6/Vampire---4.8_24432',inverse_product2) ).
fof(f33,plain,
add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(multiply(u,multiply(x,additive_inverse(y))),multiply(v,multiply(x,additive_inverse(y)))))) != add(multiply(multiply(add(u,v),x),y),add(multiply(u,additive_inverse(multiply(x,y))),multiply(v,additive_inverse(multiply(x,y))))),
inference(forward_demodulation,[],[f32,f9]) ).
fof(f32,plain,
add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(multiply(u,multiply(x,additive_inverse(y))),multiply(v,multiply(x,additive_inverse(y)))))) != add(multiply(multiply(add(u,v),x),y),multiply(add(u,v),additive_inverse(multiply(x,y)))),
inference(forward_demodulation,[],[f31,f18]) ).
fof(f31,plain,
add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(multiply(u,multiply(x,additive_inverse(y))),multiply(v,multiply(x,additive_inverse(y)))))),
inference(forward_demodulation,[],[f30,f18]) ).
fof(f30,plain,
add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(multiply(u,additive_inverse(multiply(x,y))),multiply(v,additive_inverse(multiply(x,y)))))),
inference(forward_demodulation,[],[f29,f10]) ).
fof(f10,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.FlqeVe4wt6/Vampire---4.8_24432',commutativity_for_addition) ).
fof(f29,plain,
add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(multiply(v,additive_inverse(multiply(x,y))),multiply(u,additive_inverse(multiply(x,y)))))),
inference(forward_demodulation,[],[f28,f18]) ).
fof(f28,plain,
add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(multiply(v,additive_inverse(multiply(x,y))),additive_inverse(multiply(u,multiply(x,y)))))),
inference(forward_demodulation,[],[f27,f11]) ).
fof(f27,plain,
add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(u,x),y),add(add(multiply(multiply(v,x),y),multiply(v,additive_inverse(multiply(x,y)))),additive_inverse(multiply(u,multiply(x,y))))),
inference(forward_demodulation,[],[f26,f10]) ).
fof(f26,plain,
add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(u,x),y),add(additive_inverse(multiply(u,multiply(x,y))),add(multiply(multiply(v,x),y),multiply(v,additive_inverse(multiply(x,y)))))),
inference(forward_demodulation,[],[f25,f18]) ).
fof(f25,plain,
add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(u,x),y),add(additive_inverse(multiply(u,multiply(x,y))),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y)))))),
inference(forward_demodulation,[],[f24,f11]) ).
fof(f24,plain,
add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(add(multiply(multiply(u,x),y),additive_inverse(multiply(u,multiply(x,y)))),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y))))),
inference(definition_unfolding,[],[f23,f14,f14,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox/tmp/tmp.FlqeVe4wt6/Vampire---4.8_24432',associator) ).
fof(f23,axiom,
associator(add(u,v),x,y) != add(associator(u,x,y),associator(v,x,y)),
file('/export/starexec/sandbox/tmp/tmp.FlqeVe4wt6/Vampire---4.8_24432',prove_linearised_form3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG021-7 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 18:18:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36 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.FlqeVe4wt6/Vampire---4.8_24432
% 0.59/0.74 % (24692)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)
% 0.59/0.74 % (24695)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)
% 0.59/0.74 % (24694)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74 % (24693)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)
% 0.59/0.74 % (24696)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)
% 0.59/0.74 % (24697)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)
% 0.59/0.74 % (24698)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)
% 0.59/0.74 % (24699)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)
% 0.59/0.74 % (24692)Refutation not found, incomplete strategy% (24692)------------------------------
% 0.59/0.74 % (24692)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74 % (24692)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74
% 0.59/0.74 % (24692)Memory used [KB]: 982
% 0.59/0.74 % (24692)Time elapsed: 0.002 s
% 0.59/0.74 % (24692)Instructions burned: 3 (million)
% 0.59/0.75 % (24692)------------------------------
% 0.59/0.75 % (24692)------------------------------
% 0.59/0.75 % (24696)Refutation not found, incomplete strategy% (24696)------------------------------
% 0.59/0.75 % (24696)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (24695)Refutation not found, incomplete strategy% (24695)------------------------------
% 0.59/0.75 % (24695)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (24695)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (24695)Memory used [KB]: 970
% 0.59/0.75 % (24695)Time elapsed: 0.003 s
% 0.59/0.75 % (24695)Instructions burned: 2 (million)
% 0.59/0.75 % (24696)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (24699)Refutation not found, incomplete strategy% (24699)------------------------------
% 0.59/0.75 % (24699)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (24696)Memory used [KB]: 980
% 0.59/0.75 % (24696)Time elapsed: 0.003 s
% 0.59/0.75 % (24696)Instructions burned: 2 (million)
% 0.59/0.75 % (24699)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (24699)Memory used [KB]: 966
% 0.59/0.75 % (24699)Time elapsed: 0.003 s
% 0.59/0.75 % (24699)Instructions burned: 3 (million)
% 0.59/0.75 % (24695)------------------------------
% 0.59/0.75 % (24695)------------------------------
% 0.59/0.75 % (24696)------------------------------
% 0.59/0.75 % (24696)------------------------------
% 0.59/0.75 % (24699)------------------------------
% 0.59/0.75 % (24699)------------------------------
% 0.59/0.75 % (24697)Refutation not found, incomplete strategy% (24697)------------------------------
% 0.59/0.75 % (24697)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (24697)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (24697)Memory used [KB]: 1034
% 0.59/0.75 % (24697)Time elapsed: 0.003 s
% 0.59/0.75 % (24697)Instructions burned: 3 (million)
% 0.59/0.75 % (24698)Refutation not found, incomplete strategy% (24698)------------------------------
% 0.59/0.75 % (24698)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (24697)------------------------------
% 0.59/0.75 % (24697)------------------------------
% 0.59/0.75 % (24698)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (24698)Memory used [KB]: 1035
% 0.59/0.75 % (24698)Time elapsed: 0.004 s
% 0.59/0.75 % (24698)Instructions burned: 4 (million)
% 0.59/0.75 % (24698)------------------------------
% 0.59/0.75 % (24698)------------------------------
% 0.59/0.75 % (24700)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)
% 0.59/0.75 % (24702)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.75 % (24701)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.75 % (24704)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.61/0.75 % (24705)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.61/0.75 % (24701)Refutation not found, incomplete strategy% (24701)------------------------------
% 0.61/0.75 % (24701)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.75 % (24701)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.75
% 0.61/0.75 % (24701)Memory used [KB]: 970
% 0.61/0.75 % (24701)Time elapsed: 0.003 s
% 0.61/0.75 % (24701)Instructions burned: 3 (million)
% 0.61/0.75 % (24701)------------------------------
% 0.61/0.75 % (24701)------------------------------
% 0.61/0.75 % (24705)Refutation not found, incomplete strategy% (24705)------------------------------
% 0.61/0.75 % (24705)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.75 % (24705)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.75
% 0.61/0.75 % (24705)Memory used [KB]: 965
% 0.61/0.75 % (24705)Time elapsed: 0.003 s
% 0.61/0.75 % (24705)Instructions burned: 2 (million)
% 0.61/0.75 % (24704)First to succeed.
% 0.61/0.75 % (24705)------------------------------
% 0.61/0.75 % (24705)------------------------------
% 0.61/0.75 % (24704)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24682"
% 0.61/0.75 % (24703)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.61/0.75 % (24704)Refutation found. Thanks to Tanya!
% 0.61/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.75 % (24704)------------------------------
% 0.61/0.75 % (24704)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.75 % (24704)Termination reason: Refutation
% 0.61/0.75
% 0.61/0.75 % (24704)Memory used [KB]: 1040
% 0.61/0.75 % (24704)Time elapsed: 0.004 s
% 0.61/0.75 % (24704)Instructions burned: 5 (million)
% 0.61/0.75 % (24682)Success in time 0.388 s
% 0.61/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------