TSTP Solution File: GRP514-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP514-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n027.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 05:48:57 EDT 2024

% Result   : Unsatisfiable 0.63s 0.76s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f174,plain,
    $false,
    inference(subsumption_resolution,[],[f173,f4]) ).

fof(f4,plain,
    sP0(a2),
    inference(inequality_splitting,[],[f2,f3]) ).

fof(f3,plain,
    ~ sP0(multiply(multiply(inverse(b2),b2),a2)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f2,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox/tmp/tmp.0CpsXsm9In/Vampire---4.8_18550',prove_these_axioms_2) ).

fof(f173,plain,
    ~ sP0(a2),
    inference(forward_demodulation,[],[f172,f11]) ).

fof(f11,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
    inference(superposition,[],[f5,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
    file('/export/starexec/sandbox/tmp/tmp.0CpsXsm9In/Vampire---4.8_18550',single_axiom) ).

fof(f5,plain,
    ! [X2,X3,X0,X1] : multiply(X3,multiply(X1,inverse(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))))) = X0,
    inference(superposition,[],[f1,f1]) ).

fof(f172,plain,
    ~ sP0(multiply(a2,multiply(b2,inverse(b2)))),
    inference(forward_demodulation,[],[f171,f170]) ).

fof(f170,plain,
    ! [X2,X1] : multiply(X1,X2) = multiply(X2,X1),
    inference(forward_demodulation,[],[f148,f141]) ).

fof(f141,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(X0,inverse(X0)))) = X1,
    inference(superposition,[],[f110,f14]) ).

fof(f14,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
    inference(superposition,[],[f5,f11]) ).

fof(f110,plain,
    ! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
    inference(superposition,[],[f59,f85]) ).

fof(f85,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,multiply(X2,inverse(multiply(X0,X1)))),X1) = X2,
    inference(superposition,[],[f59,f38]) ).

fof(f38,plain,
    ! [X2,X0,X1] : multiply(X2,X1) = multiply(multiply(X0,X1),multiply(X2,inverse(X0))),
    inference(superposition,[],[f5,f23]) ).

fof(f23,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
    inference(superposition,[],[f5,f14]) ).

fof(f59,plain,
    ! [X3,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X3,inverse(X0))),inverse(X1))) = X3,
    inference(backward_demodulation,[],[f6,f45]) ).

fof(f45,plain,
    ! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = multiply(X1,multiply(X3,inverse(X0))),
    inference(superposition,[],[f38,f1]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))),inverse(X1))) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f148,plain,
    ! [X2,X0,X1] : multiply(X2,X1) = multiply(X1,multiply(X2,inverse(multiply(X0,inverse(X0))))),
    inference(superposition,[],[f38,f110]) ).

fof(f171,plain,
    ~ sP0(multiply(a2,multiply(inverse(b2),b2))),
    inference(backward_demodulation,[],[f3,f170]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP514-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n027.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 20:42:23 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_PEQ_UEQ 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.0CpsXsm9In/Vampire---4.8_18550
% 0.55/0.75  % (18956)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)
% 0.55/0.75  % (18956)Refutation not found, incomplete strategy% (18956)------------------------------
% 0.55/0.75  % (18956)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (18956)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (18956)Memory used [KB]: 947
% 0.55/0.75  % (18956)Time elapsed: 0.001 s
% 0.55/0.75  % (18956)Instructions burned: 2 (million)
% 0.55/0.75  % (18956)------------------------------
% 0.55/0.75  % (18956)------------------------------
% 0.55/0.75  % (18949)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)
% 0.55/0.75  % (18951)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (18950)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)
% 0.55/0.75  % (18953)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)
% 0.55/0.75  % (18952)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)
% 0.55/0.75  % (18954)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)
% 0.55/0.75  % (18955)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)
% 0.55/0.75  % (18953)Refutation not found, incomplete strategy% (18953)------------------------------
% 0.55/0.75  % (18953)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (18949)Refutation not found, incomplete strategy% (18949)------------------------------
% 0.55/0.75  % (18949)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (18949)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (18949)Memory used [KB]: 961
% 0.55/0.75  % (18949)Time elapsed: 0.002 s
% 0.55/0.75  % (18949)Instructions burned: 2 (million)
% 0.55/0.75  % (18954)Refutation not found, incomplete strategy% (18954)------------------------------
% 0.55/0.75  % (18954)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (18954)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (18954)Memory used [KB]: 947
% 0.55/0.75  % (18954)Time elapsed: 0.002 s
% 0.55/0.75  % (18954)Instructions burned: 2 (million)
% 0.55/0.75  % (18952)Refutation not found, incomplete strategy% (18952)------------------------------
% 0.55/0.75  % (18952)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (18953)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (18953)Memory used [KB]: 961
% 0.55/0.75  % (18953)Time elapsed: 0.002 s
% 0.55/0.75  % (18953)Instructions burned: 2 (million)
% 0.55/0.75  % (18952)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (18952)Memory used [KB]: 948
% 0.55/0.75  % (18952)Time elapsed: 0.002 s
% 0.55/0.75  % (18952)Instructions burned: 2 (million)
% 0.55/0.75  % (18955)Refutation not found, incomplete strategy% (18955)------------------------------
% 0.55/0.75  % (18955)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (18955)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (18949)------------------------------
% 0.55/0.75  % (18949)------------------------------
% 0.55/0.75  % (18955)Memory used [KB]: 948
% 0.55/0.75  % (18955)Time elapsed: 0.002 s
% 0.55/0.75  % (18955)Instructions burned: 2 (million)
% 0.55/0.75  % (18954)------------------------------
% 0.55/0.75  % (18954)------------------------------
% 0.55/0.75  % (18953)------------------------------
% 0.55/0.75  % (18953)------------------------------
% 0.55/0.75  % (18952)------------------------------
% 0.55/0.75  % (18952)------------------------------
% 0.55/0.75  % (18955)------------------------------
% 0.55/0.75  % (18955)------------------------------
% 0.55/0.75  % (18959)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)
% 0.62/0.75  % (18961)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)
% 0.62/0.75  % (18960)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)
% 0.62/0.75  % (18962)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)
% 0.62/0.75  % (18963)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)
% 0.62/0.75  % (18964)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)
% 0.62/0.75  % (18960)Refutation not found, incomplete strategy% (18960)------------------------------
% 0.62/0.75  % (18960)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.75  % (18960)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.75  
% 0.62/0.75  % (18960)Memory used [KB]: 946
% 0.62/0.75  % (18960)Time elapsed: 0.002 s
% 0.62/0.75  % (18960)Instructions burned: 2 (million)
% 0.62/0.75  % (18963)Refutation not found, incomplete strategy% (18963)------------------------------
% 0.62/0.75  % (18963)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.75  % (18963)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.75  % (18960)------------------------------
% 0.62/0.75  % (18960)------------------------------
% 0.62/0.75  
% 0.62/0.75  % (18963)Memory used [KB]: 947
% 0.62/0.75  % (18963)Time elapsed: 0.002 s
% 0.62/0.75  % (18963)Instructions burned: 2 (million)
% 0.62/0.75  % (18964)Refutation not found, incomplete strategy% (18964)------------------------------
% 0.62/0.75  % (18964)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.75  % (18964)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.75  
% 0.62/0.75  % (18964)Memory used [KB]: 945
% 0.62/0.75  % (18964)Time elapsed: 0.002 s
% 0.62/0.75  % (18964)Instructions burned: 2 (million)
% 0.62/0.75  % (18963)------------------------------
% 0.62/0.75  % (18963)------------------------------
% 0.62/0.75  % (18964)------------------------------
% 0.62/0.75  % (18964)------------------------------
% 0.63/0.76  % (18967)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 Vampire---4 for (2996ds/243Mi)
% 0.63/0.76  % (18968)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.63/0.76  % (18969)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.63/0.76  % (18959)First to succeed.
% 0.63/0.76  % (18968)Refutation not found, incomplete strategy% (18968)------------------------------
% 0.63/0.76  % (18968)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (18968)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (18968)Memory used [KB]: 947
% 0.63/0.76  % (18968)Time elapsed: 0.003 s
% 0.63/0.76  % (18959)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18799"
% 0.63/0.76  % (18968)Instructions burned: 2 (million)
% 0.63/0.76  % (18969)Refutation not found, incomplete strategy% (18969)------------------------------
% 0.63/0.76  % (18969)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (18968)------------------------------
% 0.63/0.76  % (18968)------------------------------
% 0.63/0.76  % (18969)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (18969)Memory used [KB]: 962
% 0.63/0.76  % (18959)Refutation found. Thanks to Tanya!
% 0.63/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.76  % (18959)------------------------------
% 0.63/0.76  % (18959)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (18959)Termination reason: Refutation
% 0.63/0.76  
% 0.63/0.76  % (18959)Memory used [KB]: 1165
% 0.63/0.76  % (18959)Time elapsed: 0.010 s
% 0.63/0.76  % (18959)Instructions burned: 27 (million)
% 0.63/0.76  % (18799)Success in time 0.383 s
% 0.63/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------