TSTP Solution File: LCL157-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL157-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 : Tue May 21 00:12:46 EDT 2024

% Result   : Unsatisfiable 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   37 (  37 unt;   0 def)
%            Number of atoms       :   37 (  31 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f634,plain,
    $false,
    inference(subsumption_resolution,[],[f633,f22]) ).

fof(f22,plain,
    sP0(not(truth)),
    inference(backward_demodulation,[],[f19,f16]) ).

fof(f16,axiom,
    not(truth) = falsehood,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_definition) ).

fof(f19,plain,
    sP0(falsehood),
    inference(inequality_splitting,[],[f17,f18]) ).

fof(f18,plain,
    ~ sP0(and_star(x,falsehood)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f17,axiom,
    falsehood != and_star(x,falsehood),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).

fof(f633,plain,
    ~ sP0(not(truth)),
    inference(backward_demodulation,[],[f21,f603]) ).

fof(f603,plain,
    not(truth) = sF1,
    inference(backward_demodulation,[],[f471,f567]) ).

fof(f567,plain,
    ! [X0] : truth = implies(not(truth),X0),
    inference(superposition,[],[f528,f26]) ).

fof(f26,plain,
    ! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
    inference(forward_demodulation,[],[f25,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_definition) ).

fof(f25,plain,
    ! [X0,X1] : implies(not(X0),X1) = or(X1,X0),
    inference(backward_demodulation,[],[f7,f5]) ).

fof(f7,axiom,
    ! [X0,X1] : or(X0,X1) = or(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_commutativity) ).

fof(f528,plain,
    ! [X0] : truth = implies(X0,truth),
    inference(superposition,[],[f264,f284]) ).

fof(f284,plain,
    ! [X0] : truth = implies(X0,X0),
    inference(forward_demodulation,[],[f248,f1]) ).

fof(f1,axiom,
    ! [X0] : implies(truth,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).

fof(f248,plain,
    ! [X0] : truth = implies(truth,implies(X0,X0)),
    inference(superposition,[],[f195,f1]) ).

fof(f195,plain,
    ! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
    inference(forward_demodulation,[],[f152,f1]) ).

fof(f152,plain,
    ! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
    inference(superposition,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_2) ).

fof(f264,plain,
    ! [X0] : truth = implies(X0,implies(X0,X0)),
    inference(superposition,[],[f195,f29]) ).

fof(f29,plain,
    ! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
    inference(superposition,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).

fof(f471,plain,
    sF1 = not(implies(not(truth),not(x))),
    inference(backward_demodulation,[],[f108,f325]) ).

fof(f325,plain,
    truth = not(not(truth)),
    inference(forward_demodulation,[],[f320,f1]) ).

fof(f320,plain,
    truth = implies(truth,not(not(truth))),
    inference(superposition,[],[f114,f284]) ).

fof(f114,plain,
    ! [X0] : truth = implies(implies(not(not(truth)),X0),X0),
    inference(superposition,[],[f42,f26]) ).

fof(f42,plain,
    ! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
    inference(superposition,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_4) ).

fof(f108,plain,
    sF1 = not(implies(not(not(not(truth))),not(x))),
    inference(backward_demodulation,[],[f24,f28]) ).

fof(f28,plain,
    ! [X0,X1] : and_star(X0,X1) = not(implies(not(not(X0)),not(X1))),
    inference(forward_demodulation,[],[f13,f5]) ).

fof(f13,axiom,
    ! [X0,X1] : not(or(not(X0),not(X1))) = and_star(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_definition) ).

fof(f24,plain,
    sF1 = and_star(not(truth),x),
    inference(backward_demodulation,[],[f23,f15]) ).

fof(f15,axiom,
    ! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_commutativity) ).

fof(f23,plain,
    sF1 = and_star(x,not(truth)),
    inference(forward_demodulation,[],[f20,f16]) ).

fof(f20,plain,
    and_star(x,falsehood) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f21,plain,
    ~ sP0(sF1),
    inference(definition_folding,[],[f18,f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : LCL157-1 : TPTP v8.2.0. Released v1.0.0.
% 0.02/0.10  % 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
% 0.09/0.29  % Computer : n029.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Mon May 20 03:31:08 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.09/0.30  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/benchmark/theBenchmark.p
% 0.61/0.77  % (25321)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.77  % (25319)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 (2995ds/34Mi)
% 0.61/0.77  % (25322)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.77  % (25320)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 (2995ds/51Mi)
% 0.61/0.77  % (25323)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 (2995ds/34Mi)
% 0.61/0.77  % (25324)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.77  % (25325)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 (2995ds/83Mi)
% 0.61/0.77  % (25326)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 (2995ds/56Mi)
% 0.61/0.77  % (25323)Refutation not found, incomplete strategy% (25323)------------------------------
% 0.61/0.77  % (25323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (25323)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  % (25326)Refutation not found, incomplete strategy% (25326)------------------------------
% 0.61/0.77  % (25326)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (25326)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (25326)Memory used [KB]: 1003
% 0.61/0.77  % (25326)Time elapsed: 0.002 s
% 0.61/0.77  % (25326)Instructions burned: 2 (million)
% 0.61/0.77  
% 0.61/0.77  % (25323)Memory used [KB]: 1017
% 0.61/0.77  % (25319)Refutation not found, incomplete strategy% (25319)------------------------------
% 0.61/0.77  % (25319)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (25319)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (25319)Memory used [KB]: 1018
% 0.61/0.77  % (25319)Time elapsed: 0.003 s
% 0.61/0.77  % (25319)Instructions burned: 2 (million)
% 0.61/0.77  % (25322)Refutation not found, incomplete strategy% (25322)------------------------------
% 0.61/0.77  % (25322)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (25322)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (25322)Memory used [KB]: 1006
% 0.61/0.77  % (25322)Time elapsed: 0.002 s
% 0.61/0.77  % (25322)Instructions burned: 2 (million)
% 0.61/0.77  % (25323)Time elapsed: 0.002 s
% 0.61/0.77  % (25323)Instructions burned: 2 (million)
% 0.61/0.77  % (25324)Refutation not found, incomplete strategy% (25324)------------------------------
% 0.61/0.77  % (25324)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (25326)------------------------------
% 0.61/0.77  % (25326)------------------------------
% 0.61/0.77  % (25324)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  % (25319)------------------------------
% 0.61/0.77  % (25319)------------------------------
% 0.61/0.77  
% 0.61/0.77  % (25324)Memory used [KB]: 1006
% 0.61/0.77  % (25324)Time elapsed: 0.003 s
% 0.61/0.77  % (25324)Instructions burned: 3 (million)
% 0.61/0.77  % (25322)------------------------------
% 0.61/0.77  % (25322)------------------------------
% 0.61/0.77  % (25323)------------------------------
% 0.61/0.77  % (25323)------------------------------
% 0.61/0.77  % (25325)Refutation not found, incomplete strategy% (25325)------------------------------
% 0.61/0.77  % (25325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (25324)------------------------------
% 0.61/0.77  % (25324)------------------------------
% 0.61/0.77  % (25325)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (25325)Memory used [KB]: 1007
% 0.61/0.77  % (25325)Time elapsed: 0.003 s
% 0.61/0.77  % (25325)Instructions burned: 3 (million)
% 0.61/0.77  % (25325)------------------------------
% 0.61/0.77  % (25325)------------------------------
% 0.61/0.78  % (25327)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 (2995ds/55Mi)
% 0.61/0.78  % (25329)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 (2995ds/208Mi)
% 0.61/0.78  % (25328)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 (2995ds/50Mi)
% 0.61/0.78  % (25330)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 (2995ds/52Mi)
% 0.61/0.78  % (25331)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 (2995ds/518Mi)
% 0.61/0.78  % (25332)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 (2995ds/42Mi)
% 0.61/0.78  % (25328)Refutation not found, incomplete strategy% (25328)------------------------------
% 0.61/0.78  % (25328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (25328)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (25328)Memory used [KB]: 1003
% 0.61/0.78  % (25328)Time elapsed: 0.002 s
% 0.61/0.78  % (25328)Instructions burned: 3 (million)
% 0.61/0.78  % (25332)Refutation not found, incomplete strategy% (25332)------------------------------
% 0.61/0.78  % (25332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (25332)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (25332)Memory used [KB]: 1001
% 0.61/0.78  % (25332)Time elapsed: 0.002 s
% 0.61/0.78  % (25332)Instructions burned: 2 (million)
% 0.61/0.78  % (25328)------------------------------
% 0.61/0.78  % (25328)------------------------------
% 0.61/0.78  % (25332)------------------------------
% 0.61/0.78  % (25332)------------------------------
% 0.61/0.78  % (25333)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 (2995ds/243Mi)
% 0.61/0.78  % (25334)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 (2995ds/117Mi)
% 0.61/0.78  % (25334)Refutation not found, incomplete strategy% (25334)------------------------------
% 0.61/0.78  % (25334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (25334)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (25334)Memory used [KB]: 1004
% 0.61/0.78  % (25334)Time elapsed: 0.002 s
% 0.61/0.78  % (25334)Instructions burned: 2 (million)
% 0.61/0.78  % (25334)------------------------------
% 0.61/0.78  % (25334)------------------------------
% 0.61/0.79  % (25335)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 theBenchmark for (2995ds/143Mi)
% 0.61/0.79  % (25335)Refutation not found, incomplete strategy% (25335)------------------------------
% 0.61/0.79  % (25335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (25335)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (25335)Memory used [KB]: 1021
% 0.61/0.79  % (25335)Time elapsed: 0.003 s
% 0.61/0.79  % (25335)Instructions burned: 3 (million)
% 0.61/0.79  % (25335)------------------------------
% 0.61/0.79  % (25335)------------------------------
% 0.61/0.79  % (25336)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.61/0.80  % (25320)Instruction limit reached!
% 0.61/0.80  % (25320)------------------------------
% 0.61/0.80  % (25320)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (25320)Termination reason: Unknown
% 0.61/0.80  % (25320)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (25320)Memory used [KB]: 1327
% 0.61/0.80  % (25320)Time elapsed: 0.026 s
% 0.61/0.80  % (25320)Instructions burned: 51 (million)
% 0.61/0.80  % (25320)------------------------------
% 0.61/0.80  % (25320)------------------------------
% 0.61/0.80  % (25337)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.61/0.80  % (25337)Refutation not found, incomplete strategy% (25337)------------------------------
% 0.61/0.80  % (25337)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (25337)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (25337)Memory used [KB]: 1005
% 0.61/0.80  % (25337)Time elapsed: 0.002 s
% 0.61/0.80  % (25337)Instructions burned: 2 (million)
% 0.61/0.80  % (25333)First to succeed.
% 0.61/0.80  % (25337)------------------------------
% 0.61/0.80  % (25337)------------------------------
% 0.61/0.80  % (25327)Instruction limit reached!
% 0.61/0.80  % (25327)------------------------------
% 0.61/0.80  % (25327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (25327)Termination reason: Unknown
% 0.61/0.80  % (25327)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (25327)Memory used [KB]: 1315
% 0.61/0.80  % (25327)Time elapsed: 0.026 s
% 0.61/0.80  % (25327)Instructions burned: 57 (million)
% 0.61/0.80  % (25327)------------------------------
% 0.61/0.80  % (25327)------------------------------
% 0.61/0.80  % (25333)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25318"
% 0.61/0.80  % (25333)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Unsatisfiable for theBenchmark
% 0.61/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.80  % (25333)------------------------------
% 0.61/0.80  % (25333)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (25333)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (25333)Memory used [KB]: 1312
% 0.61/0.80  % (25333)Time elapsed: 0.021 s
% 0.61/0.80  % (25333)Instructions burned: 43 (million)
% 0.61/0.80  % (25318)Success in time 0.496 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------