TSTP Solution File: RNG020-7 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG020-7 : 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 : 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 08:53:27 EDT 2024
% Result : Unsatisfiable 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 17 ( 17 ~; 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 : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,plain,
$false,
inference(subsumption_resolution,[],[f39,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.r2AQnwHbHF/Vampire---4.8_24734',associativity_for_addition) ).
fof(f39,plain,
add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(multiply(x,multiply(u,additive_inverse(y))),multiply(x,multiply(v,additive_inverse(y)))))) != add(add(multiply(multiply(x,u),y),multiply(multiply(x,v),y)),add(multiply(x,multiply(u,additive_inverse(y))),multiply(x,multiply(v,additive_inverse(y))))),
inference(forward_demodulation,[],[f38,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.r2AQnwHbHF/Vampire---4.8_24734',distribute2) ).
fof(f38,plain,
add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(multiply(x,multiply(u,additive_inverse(y))),multiply(x,multiply(v,additive_inverse(y)))))) != add(multiply(add(multiply(x,u),multiply(x,v)),y),add(multiply(x,multiply(u,additive_inverse(y))),multiply(x,multiply(v,additive_inverse(y))))),
inference(forward_demodulation,[],[f37,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.r2AQnwHbHF/Vampire---4.8_24734',distribute1) ).
fof(f37,plain,
add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(multiply(x,multiply(u,additive_inverse(y))),multiply(x,multiply(v,additive_inverse(y)))))) != add(multiply(multiply(x,add(u,v)),y),add(multiply(x,multiply(u,additive_inverse(y))),multiply(x,multiply(v,additive_inverse(y))))),
inference(forward_demodulation,[],[f36,f8]) ).
fof(f36,plain,
add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(multiply(x,multiply(u,additive_inverse(y))),multiply(x,multiply(v,additive_inverse(y)))))) != add(multiply(multiply(x,add(u,v)),y),multiply(x,add(multiply(u,additive_inverse(y)),multiply(v,additive_inverse(y))))),
inference(forward_demodulation,[],[f35,f9]) ).
fof(f35,plain,
add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(multiply(x,multiply(u,additive_inverse(y))),multiply(x,multiply(v,additive_inverse(y)))))) != add(multiply(multiply(x,add(u,v)),y),multiply(x,multiply(add(u,v),additive_inverse(y)))),
inference(forward_demodulation,[],[f34,f18]) ).
fof(f18,axiom,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
file('/export/starexec/sandbox/tmp/tmp.r2AQnwHbHF/Vampire---4.8_24734',inverse_product2) ).
fof(f34,plain,
add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(multiply(x,multiply(u,additive_inverse(y))),multiply(x,multiply(v,additive_inverse(y)))))) != add(multiply(multiply(x,add(u,v)),y),multiply(x,additive_inverse(multiply(add(u,v),y)))),
inference(forward_demodulation,[],[f33,f18]) ).
fof(f33,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))) != add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(multiply(x,multiply(u,additive_inverse(y))),multiply(x,multiply(v,additive_inverse(y)))))),
inference(forward_demodulation,[],[f32,f10]) ).
fof(f10,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.r2AQnwHbHF/Vampire---4.8_24734',commutativity_for_addition) ).
fof(f32,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))) != add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(multiply(x,multiply(v,additive_inverse(y))),multiply(x,multiply(u,additive_inverse(y)))))),
inference(forward_demodulation,[],[f31,f18]) ).
fof(f31,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))) != add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(multiply(x,multiply(v,additive_inverse(y))),multiply(x,additive_inverse(multiply(u,y)))))),
inference(forward_demodulation,[],[f30,f8]) ).
fof(f30,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))) != add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),multiply(x,add(multiply(v,additive_inverse(y)),additive_inverse(multiply(u,y)))))),
inference(forward_demodulation,[],[f29,f19]) ).
fof(f19,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,additive_inverse(X2))) = add(multiply(X0,X1),additive_inverse(multiply(X0,X2))),
file('/export/starexec/sandbox/tmp/tmp.r2AQnwHbHF/Vampire---4.8_24734',distributivity_of_difference1) ).
fof(f29,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))) != add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(multiply(x,multiply(v,additive_inverse(y))),additive_inverse(multiply(x,multiply(u,y)))))),
inference(forward_demodulation,[],[f28,f11]) ).
fof(f28,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))) != add(multiply(multiply(x,u),y),add(add(multiply(multiply(x,v),y),multiply(x,multiply(v,additive_inverse(y)))),additive_inverse(multiply(x,multiply(u,y))))),
inference(forward_demodulation,[],[f27,f10]) ).
fof(f27,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))) != add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),multiply(x,multiply(v,additive_inverse(y)))))),
inference(forward_demodulation,[],[f26,f18]) ).
fof(f26,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))) != add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),multiply(x,additive_inverse(multiply(v,y)))))),
inference(forward_demodulation,[],[f25,f18]) ).
fof(f25,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))) != add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y)))))),
inference(forward_demodulation,[],[f24,f11]) ).
fof(f24,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))) != add(add(multiply(multiply(x,u),y),additive_inverse(multiply(x,multiply(u,y)))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,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.r2AQnwHbHF/Vampire---4.8_24734',associator) ).
fof(f23,axiom,
associator(x,add(u,v),y) != add(associator(x,u,y),associator(x,v,y)),
file('/export/starexec/sandbox/tmp/tmp.r2AQnwHbHF/Vampire---4.8_24734',prove_linearised_form2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : RNG020-7 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:15:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36 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.r2AQnwHbHF/Vampire---4.8_24734
% 0.56/0.75 % (24850)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 % (24850)Refutation not found, incomplete strategy% (24850)------------------------------
% 0.56/0.75 % (24850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (24850)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (24850)Memory used [KB]: 966
% 0.56/0.75 % (24850)Time elapsed: 0.002 s
% 0.56/0.75 % (24850)Instructions burned: 3 (million)
% 0.56/0.75 % (24850)------------------------------
% 0.56/0.75 % (24850)------------------------------
% 0.56/0.75 % (24843)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 % (24845)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 % (24846)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 % (24844)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 % (24848)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 % (24849)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 % (24847)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 % (24846)Refutation not found, incomplete strategy% (24846)------------------------------
% 0.56/0.75 % (24846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (24847)Refutation not found, incomplete strategy% (24847)------------------------------
% 0.56/0.75 % (24847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (24847)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (24847)Memory used [KB]: 980
% 0.56/0.75 % (24847)Time elapsed: 0.003 s
% 0.56/0.75 % (24847)Instructions burned: 2 (million)
% 0.56/0.75 % (24846)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (24846)Memory used [KB]: 970
% 0.56/0.75 % (24846)Time elapsed: 0.003 s
% 0.56/0.75 % (24846)Instructions burned: 2 (million)
% 0.56/0.75 % (24843)Refutation not found, incomplete strategy% (24843)------------------------------
% 0.56/0.75 % (24843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (24843)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (24843)Memory used [KB]: 982
% 0.56/0.75 % (24843)Time elapsed: 0.003 s
% 0.56/0.75 % (24843)Instructions burned: 3 (million)
% 0.56/0.75 % (24847)------------------------------
% 0.56/0.75 % (24847)------------------------------
% 0.56/0.75 % (24843)------------------------------
% 0.56/0.75 % (24843)------------------------------
% 0.56/0.75 % (24846)------------------------------
% 0.56/0.75 % (24846)------------------------------
% 0.56/0.75 % (24848)Refutation not found, incomplete strategy% (24848)------------------------------
% 0.56/0.75 % (24848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (24848)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (24848)Memory used [KB]: 1034
% 0.56/0.75 % (24848)Time elapsed: 0.003 s
% 0.56/0.75 % (24848)Instructions burned: 4 (million)
% 0.56/0.75 % (24848)------------------------------
% 0.56/0.75 % (24848)------------------------------
% 0.56/0.75 % (24849)Refutation not found, incomplete strategy% (24849)------------------------------
% 0.56/0.75 % (24849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (24849)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (24849)Memory used [KB]: 1036
% 0.56/0.75 % (24849)Time elapsed: 0.003 s
% 0.56/0.75 % (24849)Instructions burned: 4 (million)
% 0.56/0.75 % (24851)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 % (24849)------------------------------
% 0.56/0.75 % (24849)------------------------------
% 0.56/0.75 % (24852)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)
% 0.56/0.75 % (24853)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)
% 0.56/0.76 % (24854)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)
% 0.56/0.76 % (24855)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)
% 0.56/0.76 % (24856)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)
% 0.56/0.76 % (24852)Refutation not found, incomplete strategy% (24852)------------------------------
% 0.56/0.76 % (24852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (24852)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (24852)Memory used [KB]: 970
% 0.56/0.76 % (24852)Time elapsed: 0.003 s
% 0.56/0.76 % (24852)Instructions burned: 3 (million)
% 0.56/0.76 % (24852)------------------------------
% 0.56/0.76 % (24852)------------------------------
% 0.56/0.76 % (24856)Refutation not found, incomplete strategy% (24856)------------------------------
% 0.56/0.76 % (24856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (24856)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (24856)Memory used [KB]: 965
% 0.56/0.76 % (24856)Time elapsed: 0.002 s
% 0.56/0.76 % (24856)Instructions burned: 2 (million)
% 0.56/0.76 % (24855)First to succeed.
% 0.56/0.76 % (24856)------------------------------
% 0.56/0.76 % (24856)------------------------------
% 0.56/0.76 % (24855)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24842"
% 0.56/0.76 % (24855)Refutation found. Thanks to Tanya!
% 0.56/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.56/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76 % (24855)------------------------------
% 0.56/0.76 % (24855)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (24855)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (24855)Memory used [KB]: 1040
% 0.56/0.76 % (24855)Time elapsed: 0.005 s
% 0.56/0.76 % (24855)Instructions burned: 5 (million)
% 0.56/0.76 % (24842)Success in time 0.394 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------