TSTP Solution File: BOO012-2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : BOO012-2 : TPTP v8.2.0. 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 : n007.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 : Mon May 20 18:57:43 EDT 2024
% Result : Unsatisfiable 0.48s 0.67s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f754,plain,
$false,
inference(trivial_inequality_removal,[],[f743]) ).
fof(f743,plain,
x != x,
inference(superposition,[],[f15,f659]) ).
fof(f659,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f647,f96]) ).
fof(f96,plain,
! [X0] : add(inverse(inverse(X0)),X0) = X0,
inference(forward_demodulation,[],[f83,f14]) ).
fof(f14,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id2) ).
fof(f83,plain,
! [X0] : add(additive_identity,X0) = add(inverse(inverse(X0)),X0),
inference(superposition,[],[f74,f9]) ).
fof(f9,axiom,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f74,plain,
! [X0,X1] : add(X1,X0) = add(multiply(inverse(X0),X1),X0),
inference(forward_demodulation,[],[f61,f12]) ).
fof(f12,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f61,plain,
! [X0,X1] : add(multiply(inverse(X0),X1),X0) = multiply(multiplicative_identity,add(X1,X0)),
inference(superposition,[],[f3,f8]) ).
fof(f8,axiom,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f647,plain,
! [X0] : inverse(inverse(X0)) = add(inverse(inverse(X0)),X0),
inference(superposition,[],[f226,f619]) ).
fof(f619,plain,
! [X0] : multiply(inverse(inverse(X0)),X0) = X0,
inference(forward_demodulation,[],[f585,f12]) ).
fof(f585,plain,
! [X0] : multiply(multiplicative_identity,X0) = multiply(inverse(inverse(X0)),X0),
inference(superposition,[],[f166,f7]) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f166,plain,
! [X0,X1] : multiply(X1,X0) = multiply(add(inverse(X0),X1),X0),
inference(forward_demodulation,[],[f142,f14]) ).
fof(f142,plain,
! [X0,X1] : add(additive_identity,multiply(X1,X0)) = multiply(add(inverse(X0),X1),X0),
inference(superposition,[],[f5,f10]) ).
fof(f10,axiom,
! [X0] : additive_identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f5,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f226,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(forward_demodulation,[],[f225,f11]) ).
fof(f11,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f225,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f197,f95]) ).
fof(f95,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[],[f82,f8]) ).
fof(f82,plain,
! [X0] : add(inverse(X0),X0) = add(multiplicative_identity,X0),
inference(superposition,[],[f74,f11]) ).
fof(f197,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(multiplicative_identity,X1)),
inference(superposition,[],[f6,f11]) ).
fof(f6,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity4) ).
fof(f15,axiom,
x != inverse(inverse(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_an_involution) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : BOO012-2 : TPTP v8.2.0. Released v1.0.0.
% 0.05/0.11 % 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
% 0.11/0.31 % Computer : n007.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat May 18 14:20:52 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.17/0.32 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/benchmark/theBenchmark.p
% 0.48/0.66 % (14119)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.48/0.66 % (14118)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 theBenchmark for (2996ds/51Mi)
% 0.48/0.66 % (14122)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.48/0.66 % (14121)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 theBenchmark for (2996ds/34Mi)
% 0.48/0.66 % (14123)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 theBenchmark for (2996ds/83Mi)
% 0.48/0.66 % (14124)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.48/0.66 % (14122)Refutation not found, incomplete strategy% (14122)------------------------------
% 0.48/0.66 % (14122)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66 % (14122)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.66
% 0.48/0.66 % (14122)Memory used [KB]: 965
% 0.48/0.66 % (14122)Time elapsed: 0.002 s
% 0.48/0.66 % (14122)Instructions burned: 2 (million)
% 0.48/0.66 % (14124)Refutation not found, incomplete strategy% (14124)------------------------------
% 0.48/0.66 % (14124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66 % (14124)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.66
% 0.48/0.66 % (14124)Memory used [KB]: 966
% 0.48/0.66 % (14124)Time elapsed: 0.002 s
% 0.48/0.66 % (14124)Instructions burned: 2 (million)
% 0.48/0.66 % (14121)Refutation not found, incomplete strategy% (14121)------------------------------
% 0.48/0.66 % (14121)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66 % (14121)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.66
% 0.48/0.66 % (14121)Memory used [KB]: 982
% 0.48/0.66 % (14121)Time elapsed: 0.002 s
% 0.48/0.66 % (14121)Instructions burned: 2 (million)
% 0.48/0.66 % (14124)------------------------------
% 0.48/0.66 % (14124)------------------------------
% 0.48/0.66 % (14122)------------------------------
% 0.48/0.66 % (14122)------------------------------
% 0.48/0.66 % (14123)Refutation not found, incomplete strategy% (14123)------------------------------
% 0.48/0.66 % (14123)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66 % (14123)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.66
% 0.48/0.66 % (14123)Memory used [KB]: 967
% 0.48/0.66 % (14123)Time elapsed: 0.002 s
% 0.48/0.66 % (14123)Instructions burned: 2 (million)
% 0.48/0.66 % (14121)------------------------------
% 0.48/0.66 % (14121)------------------------------
% 0.48/0.66 % (14117)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 theBenchmark for (2996ds/34Mi)
% 0.48/0.66 % (14123)------------------------------
% 0.48/0.66 % (14123)------------------------------
% 0.48/0.66 % (14117)Refutation not found, incomplete strategy% (14117)------------------------------
% 0.48/0.66 % (14117)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66 % (14117)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.66
% 0.48/0.66 % (14117)Memory used [KB]: 983
% 0.48/0.66 % (14117)Time elapsed: 0.002 s
% 0.48/0.66 % (14117)Instructions burned: 2 (million)
% 0.48/0.66 % (14120)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.48/0.66 % (14117)------------------------------
% 0.48/0.66 % (14117)------------------------------
% 0.48/0.66 % (14120)Refutation not found, incomplete strategy% (14120)------------------------------
% 0.48/0.66 % (14120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66 % (14120)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.66
% 0.48/0.66 % (14120)Memory used [KB]: 965
% 0.48/0.66 % (14120)Time elapsed: 0.004 s
% 0.48/0.66 % (14120)Instructions burned: 2 (million)
% 0.48/0.66 % (14120)------------------------------
% 0.48/0.66 % (14120)------------------------------
% 0.48/0.66 % (14125)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 theBenchmark for (2996ds/55Mi)
% 0.48/0.66 % (14129)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 theBenchmark for (2996ds/518Mi)
% 0.48/0.66 % (14128)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 theBenchmark for (2996ds/52Mi)
% 0.48/0.66 % (14125)Refutation not found, incomplete strategy% (14125)------------------------------
% 0.48/0.66 % (14125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66 % (14125)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.66
% 0.48/0.66 % (14125)Memory used [KB]: 963
% 0.48/0.66 % (14125)Time elapsed: 0.002 s
% 0.48/0.66 % (14125)Instructions burned: 2 (million)
% 0.48/0.66 % (14129)Refutation not found, incomplete strategy% (14129)------------------------------
% 0.48/0.66 % (14129)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66 % (14129)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.66
% 0.48/0.66 % (14129)Memory used [KB]: 967
% 0.48/0.66 % (14129)Time elapsed: 0.001 s
% 0.48/0.66 % (14129)Instructions burned: 2 (million)
% 0.48/0.66 % (14125)------------------------------
% 0.48/0.66 % (14125)------------------------------
% 0.48/0.66 % (14129)------------------------------
% 0.48/0.66 % (14129)------------------------------
% 0.48/0.66 % (14127)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.48/0.66 % (14126)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 theBenchmark for (2996ds/50Mi)
% 0.48/0.66 % (14131)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.48/0.67 % (14126)Refutation not found, incomplete strategy% (14126)------------------------------
% 0.48/0.67 % (14126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.67 % (14126)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.67
% 0.48/0.67 % (14126)Memory used [KB]: 965
% 0.48/0.67 % (14126)Time elapsed: 0.004 s
% 0.48/0.67 % (14126)Instructions burned: 2 (million)
% 0.48/0.67 % (14126)------------------------------
% 0.48/0.67 % (14126)------------------------------
% 0.48/0.67 % (14130)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 theBenchmark for (2996ds/42Mi)
% 0.48/0.67 % (14132)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.48/0.67 % (14130)Refutation not found, incomplete strategy% (14130)------------------------------
% 0.48/0.67 % (14130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.67 % (14130)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.67
% 0.48/0.67 % (14130)Memory used [KB]: 967
% 0.48/0.67 % (14130)Time elapsed: 0.004 s
% 0.48/0.67 % (14130)Instructions burned: 2 (million)
% 0.48/0.67 % (14132)Refutation not found, incomplete strategy% (14132)------------------------------
% 0.48/0.67 % (14132)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.67 % (14132)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.67
% 0.48/0.67 % (14132)Memory used [KB]: 967
% 0.48/0.67 % (14132)Time elapsed: 0.002 s
% 0.48/0.67 % (14132)Instructions burned: 2 (million)
% 0.48/0.67 % (14130)------------------------------
% 0.48/0.67 % (14130)------------------------------
% 0.48/0.67 % (14132)------------------------------
% 0.48/0.67 % (14132)------------------------------
% 0.48/0.67 % (14119)First to succeed.
% 0.48/0.67 % (14119)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14116"
% 0.48/0.67 % (14119)Refutation found. Thanks to Tanya!
% 0.48/0.67 % SZS status Unsatisfiable for theBenchmark
% 0.48/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 0.48/0.67 % (14119)------------------------------
% 0.48/0.67 % (14119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.67 % (14119)Termination reason: Refutation
% 0.48/0.67
% 0.48/0.67 % (14119)Memory used [KB]: 1334
% 0.48/0.67 % (14119)Time elapsed: 0.014 s
% 0.48/0.67 % (14119)Instructions burned: 44 (million)
% 0.48/0.67 % (14116)Success in time 0.345 s
% 0.48/0.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------