TSTP Solution File: RNG013-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG013-6 : 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/sandbox2/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 : Wed May  1 03:41:07 EDT 2024

% Result   : Unsatisfiable 0.61s 0.83s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   31 (  31 unt;   0 def)
%            Number of atoms       :   31 (  23 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f555,plain,
    $false,
    inference(subsumption_resolution,[],[f550,f25]) ).

fof(f25,plain,
    sP0(additive_inverse(sF1)),
    inference(backward_demodulation,[],[f21,f20]) ).

fof(f20,plain,
    additive_inverse(sF1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f21,plain,
    sP0(sF2),
    inference(definition_folding,[],[f18,f20,f19]) ).

fof(f19,plain,
    multiply(a,b) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f18,plain,
    sP0(additive_inverse(multiply(a,b))),
    inference(inequality_splitting,[],[f16,f17]) ).

fof(f17,plain,
    ~ sP0(multiply(additive_inverse(a),b)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f16,axiom,
    multiply(additive_inverse(a),b) != additive_inverse(multiply(a,b)),
    file('/export/starexec/sandbox2/tmp/tmp.jeLp3wIIWq/Vampire---4.8_11098',prove_equation) ).

fof(f550,plain,
    ~ sP0(additive_inverse(sF1)),
    inference(backward_demodulation,[],[f29,f548]) ).

fof(f548,plain,
    additive_inverse(sF1) = multiply(sF3,b),
    inference(forward_demodulation,[],[f538,f2]) ).

fof(f2,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.jeLp3wIIWq/Vampire---4.8_11098',right_additive_identity) ).

fof(f538,plain,
    multiply(sF3,b) = add(additive_inverse(sF1),additive_identity),
    inference(superposition,[],[f183,f378]) ).

fof(f378,plain,
    additive_identity = add(sF1,multiply(sF3,b)),
    inference(forward_demodulation,[],[f359,f7]) ).

fof(f7,axiom,
    ! [X0] : additive_inverse(additive_inverse(X0)) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.jeLp3wIIWq/Vampire---4.8_11098',additive_inverse_additive_inverse) ).

fof(f359,plain,
    additive_identity = add(sF1,multiply(additive_inverse(additive_inverse(sF3)),b)),
    inference(superposition,[],[f144,f27]) ).

fof(f27,plain,
    sF1 = multiply(additive_inverse(sF3),b),
    inference(backward_demodulation,[],[f19,f26]) ).

fof(f26,plain,
    a = additive_inverse(sF3),
    inference(superposition,[],[f7,f22]) ).

fof(f22,plain,
    additive_inverse(a) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f144,plain,
    ! [X0,X1] : additive_identity = add(multiply(X0,X1),multiply(additive_inverse(X0),X1)),
    inference(forward_demodulation,[],[f132,f3]) ).

fof(f3,axiom,
    ! [X0] : additive_identity = multiply(additive_identity,X0),
    file('/export/starexec/sandbox2/tmp/tmp.jeLp3wIIWq/Vampire---4.8_11098',left_multiplicative_zero) ).

fof(f132,plain,
    ! [X0,X1] : multiply(additive_identity,X1) = add(multiply(X0,X1),multiply(additive_inverse(X0),X1)),
    inference(superposition,[],[f9,f6]) ).

fof(f6,axiom,
    ! [X0] : additive_identity = add(X0,additive_inverse(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.jeLp3wIIWq/Vampire---4.8_11098',right_additive_inverse) ).

fof(f9,axiom,
    ! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.jeLp3wIIWq/Vampire---4.8_11098',distribute2) ).

fof(f183,plain,
    ! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
    inference(superposition,[],[f59,f7]) ).

fof(f59,plain,
    ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f47,f1]) ).

fof(f1,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.jeLp3wIIWq/Vampire---4.8_11098',left_additive_identity) ).

fof(f47,plain,
    ! [X0,X1] : add(additive_identity,X1) = add(X0,add(additive_inverse(X0),X1)),
    inference(superposition,[],[f11,f6]) ).

fof(f11,axiom,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.jeLp3wIIWq/Vampire---4.8_11098',associativity_for_addition) ).

fof(f29,plain,
    ~ sP0(multiply(sF3,b)),
    inference(backward_demodulation,[],[f24,f23]) ).

fof(f23,plain,
    multiply(sF3,b) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f24,plain,
    ~ sP0(sF4),
    inference(definition_folding,[],[f17,f23,f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : RNG013-6 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15  % 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
% 0.14/0.35  % Computer : n024.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   : Tue Apr 30 17:31:06 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.jeLp3wIIWq/Vampire---4.8_11098
% 0.61/0.81  % (11295)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)
% 0.61/0.81  % (11298)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)
% 0.61/0.81  % (11294)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)
% 0.61/0.81  % (11298)Refutation not found, incomplete strategy% (11298)------------------------------
% 0.61/0.81  % (11298)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (11298)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  % (11295)Refutation not found, incomplete strategy% (11295)------------------------------
% 0.61/0.81  % (11295)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (11295)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (11295)Memory used [KB]: 975
% 0.61/0.81  % (11295)Time elapsed: 0.002 s
% 0.61/0.81  % (11295)Instructions burned: 2 (million)
% 0.61/0.81  % (11295)------------------------------
% 0.61/0.81  % (11295)------------------------------
% 0.61/0.81  
% 0.61/0.81  % (11298)Memory used [KB]: 962
% 0.61/0.81  % (11298)Time elapsed: 0.002 s
% 0.61/0.81  % (11298)Instructions burned: 2 (million)
% 0.61/0.81  % (11298)------------------------------
% 0.61/0.81  % (11298)------------------------------
% 0.61/0.81  % (11291)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)
% 0.61/0.81  % (11293)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (11292)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)
% 0.61/0.81  % (11294)Refutation not found, incomplete strategy% (11294)------------------------------
% 0.61/0.81  % (11294)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (11294)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (11294)Memory used [KB]: 961
% 0.61/0.81  % (11294)Time elapsed: 0.002 s
% 0.61/0.81  % (11294)Instructions burned: 2 (million)
% 0.61/0.81  % (11294)------------------------------
% 0.61/0.81  % (11294)------------------------------
% 0.61/0.81  % (11296)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)
% 0.61/0.81  % (11297)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)
% 0.61/0.81  % (11291)Refutation not found, incomplete strategy% (11291)------------------------------
% 0.61/0.81  % (11291)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (11291)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (11291)Memory used [KB]: 976
% 0.61/0.81  % (11291)Time elapsed: 0.003 s
% 0.61/0.81  % (11291)Instructions burned: 2 (million)
% 0.61/0.81  % (11291)------------------------------
% 0.61/0.81  % (11291)------------------------------
% 0.61/0.81  % (11296)Refutation not found, incomplete strategy% (11296)------------------------------
% 0.61/0.81  % (11296)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (11296)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (11296)Memory used [KB]: 960
% 0.61/0.81  % (11296)Time elapsed: 0.002 s
% 0.61/0.81  % (11296)Instructions burned: 2 (million)
% 0.61/0.81  % (11296)------------------------------
% 0.61/0.81  % (11296)------------------------------
% 0.61/0.81  % (11297)Refutation not found, incomplete strategy% (11297)------------------------------
% 0.61/0.81  % (11297)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (11297)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (11297)Memory used [KB]: 961
% 0.61/0.81  % (11297)Time elapsed: 0.003 s
% 0.61/0.81  % (11297)Instructions burned: 2 (million)
% 0.61/0.81  % (11297)------------------------------
% 0.61/0.81  % (11297)------------------------------
% 0.61/0.81  % (11300)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 (2995ds/55Mi)
% 0.61/0.81  % (11301)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 (2995ds/50Mi)
% 0.61/0.81  % (11301)Refutation not found, incomplete strategy% (11301)------------------------------
% 0.61/0.81  % (11301)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (11301)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (11301)Memory used [KB]: 958
% 0.61/0.81  % (11301)Time elapsed: 0.001 s
% 0.61/0.81  % (11301)Instructions burned: 2 (million)
% 0.61/0.81  % (11301)------------------------------
% 0.61/0.81  % (11301)------------------------------
% 0.61/0.81  % (11302)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 (2995ds/208Mi)
% 0.61/0.82  % (11305)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 (2995ds/52Mi)
% 0.61/0.82  % (11306)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 (2995ds/518Mi)
% 0.61/0.82  % (11309)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 (2995ds/243Mi)
% 0.61/0.82  % (11307)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 (2995ds/42Mi)
% 0.61/0.82  % (11306)Refutation not found, incomplete strategy% (11306)------------------------------
% 0.61/0.82  % (11306)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (11306)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (11306)Memory used [KB]: 960
% 0.61/0.82  % (11306)Time elapsed: 0.003 s
% 0.61/0.82  % (11306)Instructions burned: 2 (million)
% 0.61/0.82  % (11306)------------------------------
% 0.61/0.82  % (11306)------------------------------
% 0.61/0.82  % (11307)Refutation not found, incomplete strategy% (11307)------------------------------
% 0.61/0.82  % (11307)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (11307)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (11307)Memory used [KB]: 959
% 0.61/0.82  % (11307)Time elapsed: 0.002 s
% 0.61/0.82  % (11307)Instructions burned: 2 (million)
% 0.61/0.82  % (11307)------------------------------
% 0.61/0.82  % (11307)------------------------------
% 0.61/0.82  % (11313)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 (2995ds/117Mi)
% 0.61/0.82  % (11314)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 (2995ds/143Mi)
% 0.61/0.82  % (11313)Refutation not found, incomplete strategy% (11313)------------------------------
% 0.61/0.82  % (11313)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (11313)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (11313)Memory used [KB]: 962
% 0.61/0.82  % (11313)Time elapsed: 0.003 s
% 0.61/0.82  % (11313)Instructions burned: 2 (million)
% 0.61/0.82  % (11313)------------------------------
% 0.61/0.82  % (11313)------------------------------
% 0.61/0.82  % (11314)Refutation not found, incomplete strategy% (11314)------------------------------
% 0.61/0.82  % (11314)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (11314)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (11314)Memory used [KB]: 981
% 0.61/0.82  % (11314)Time elapsed: 0.003 s
% 0.61/0.82  % (11314)Instructions burned: 3 (million)
% 0.61/0.82  % (11314)------------------------------
% 0.61/0.82  % (11314)------------------------------
% 0.61/0.82  % (11309)First to succeed.
% 0.61/0.83  % (11309)Refutation found. Thanks to Tanya!
% 0.61/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.83  % (11309)------------------------------
% 0.61/0.83  % (11309)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (11309)Termination reason: Refutation
% 0.61/0.83  
% 0.61/0.83  % (11309)Memory used [KB]: 1193
% 0.61/0.83  % (11309)Time elapsed: 0.009 s
% 0.61/0.83  % (11309)Instructions burned: 26 (million)
% 0.61/0.83  % (11309)------------------------------
% 0.61/0.83  % (11309)------------------------------
% 0.61/0.83  % (11253)Success in time 0.457 s
% 0.61/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------