TSTP Solution File: LDA007-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LDA007-2 : TPTP v8.1.0. Bugfixed v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n011.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 Aug 31 17:50:27 EDT 2022

% Result   : Unsatisfiable 1.44s 0.55s
% Output   : Refutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 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    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f63,plain,
    $false,
    inference(subsumption_resolution,[],[f56,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

fof(f56,plain,
    f(f(t,f(t,s)),f(t,k)) != f(t,f(f(t,s),k)),
    inference(backward_demodulation,[],[f34,f1]) ).

fof(f34,plain,
    f(f(f(t,t),f(t,s)),f(t,k)) != f(t,f(f(t,s),k)),
    inference(backward_demodulation,[],[f27,f22]) ).

fof(f22,plain,
    tt_ts = f(f(t,t),f(t,s)),
    inference(forward_demodulation,[],[f21,f10]) ).

fof(f10,axiom,
    tt = f(t,t),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f21,plain,
    tt_ts = f(tt,f(t,s)),
    inference(forward_demodulation,[],[f13,f12]) ).

fof(f12,axiom,
    ts = f(t,s),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f13,axiom,
    tt_ts = f(tt,ts),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f27,plain,
    f(tt_ts,f(t,k)) != f(t,f(f(t,s),k)),
    inference(backward_demodulation,[],[f23,f25]) ).

fof(f25,plain,
    tsk = f(f(t,s),k),
    inference(forward_demodulation,[],[f18,f12]) ).

fof(f18,axiom,
    tsk = f(ts,k),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).

fof(f23,plain,
    f(t,tsk) != f(tt_ts,f(t,k)),
    inference(backward_demodulation,[],[f20,f16]) ).

fof(f16,axiom,
    tk = f(t,k),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

fof(f20,axiom,
    f(t,tsk) != f(tt_ts,tk),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : LDA007-2 : TPTP v8.1.0. Bugfixed v2.6.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 02:59:25 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.51  % (9085)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.51  % (9092)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (9086)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.53  % (9086)Refutation not found, incomplete strategy% (9086)------------------------------
% 0.21/0.53  % (9086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (9086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (9086)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (9086)Memory used [KB]: 1407
% 0.21/0.53  % (9086)Time elapsed: 0.120 s
% 0.21/0.53  % (9086)------------------------------
% 0.21/0.53  % (9086)------------------------------
% 0.21/0.53  % (9089)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.53  % (9089)Refutation not found, incomplete strategy% (9089)------------------------------
% 0.21/0.53  % (9089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (9089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (9089)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (9089)Memory used [KB]: 5884
% 0.21/0.53  % (9089)Time elapsed: 0.124 s
% 0.21/0.53  % (9089)------------------------------
% 0.21/0.53  % (9089)------------------------------
% 0.21/0.53  % (9102)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.53  % (9088)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.44/0.54  % (9092)Refutation not found, incomplete strategy% (9092)------------------------------
% 1.44/0.54  % (9092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54  % (9092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54  % (9092)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.54  
% 1.44/0.54  % (9092)Memory used [KB]: 5884
% 1.44/0.54  % (9092)Time elapsed: 0.121 s
% 1.44/0.54  % (9092)Instructions burned: 1 (million)
% 1.44/0.54  % (9092)------------------------------
% 1.44/0.54  % (9092)------------------------------
% 1.44/0.54  % (9106)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.44/0.54  % (9090)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.44/0.54  % (9106)Refutation not found, incomplete strategy% (9106)------------------------------
% 1.44/0.54  % (9106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54  % (9106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54  % (9106)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.54  
% 1.44/0.54  % (9106)Memory used [KB]: 5756
% 1.44/0.54  % (9106)Time elapsed: 0.137 s
% 1.44/0.54  % (9106)------------------------------
% 1.44/0.54  % (9106)------------------------------
% 1.44/0.54  % (9102)Instruction limit reached!
% 1.44/0.54  % (9102)------------------------------
% 1.44/0.54  % (9102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54  % (9104)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.54  % (9104)Refutation not found, incomplete strategy% (9104)------------------------------
% 1.44/0.54  % (9104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54  % (9104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54  % (9104)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.54  
% 1.44/0.54  % (9104)Memory used [KB]: 5884
% 1.44/0.54  % (9104)Time elapsed: 0.135 s
% 1.44/0.54  % (9104)Instructions burned: 1 (million)
% 1.44/0.54  % (9104)------------------------------
% 1.44/0.54  % (9104)------------------------------
% 1.44/0.54  % (9094)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.54  % (9098)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.44/0.54  % (9113)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.44/0.54  % (9091)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.44/0.54  % (9113)Refutation not found, incomplete strategy% (9113)------------------------------
% 1.44/0.54  % (9113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54  % (9113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54  % (9113)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.54  
% 1.44/0.54  % (9113)Memory used [KB]: 5884
% 1.44/0.54  % (9113)Time elapsed: 0.135 s
% 1.44/0.54  % (9113)------------------------------
% 1.44/0.54  % (9113)------------------------------
% 1.44/0.54  % (9098)Instruction limit reached!
% 1.44/0.54  % (9098)------------------------------
% 1.44/0.54  % (9098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54  % (9098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54  % (9098)Termination reason: Unknown
% 1.44/0.54  % (9098)Termination phase: Saturation
% 1.44/0.54  
% 1.44/0.54  % (9098)Memory used [KB]: 5884
% 1.44/0.54  % (9098)Time elapsed: 0.139 s
% 1.44/0.54  % (9098)Instructions burned: 3 (million)
% 1.44/0.54  % (9098)------------------------------
% 1.44/0.54  % (9098)------------------------------
% 1.44/0.54  % (9094)Refutation not found, incomplete strategy% (9094)------------------------------
% 1.44/0.54  % (9094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55  % (9091)First to succeed.
% 1.44/0.55  % (9094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55  % (9094)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.55  
% 1.44/0.55  % (9094)Memory used [KB]: 5884
% 1.44/0.55  % (9094)Time elapsed: 0.131 s
% 1.44/0.55  % (9094)Instructions burned: 2 (million)
% 1.44/0.55  % (9094)------------------------------
% 1.44/0.55  % (9094)------------------------------
% 1.44/0.55  % (9096)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.44/0.55  % (9114)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.55  % (9087)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.44/0.55  % (9114)Refutation not found, incomplete strategy% (9114)------------------------------
% 1.44/0.55  % (9114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55  % (9114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55  % (9114)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.55  
% 1.44/0.55  % (9114)Memory used [KB]: 5884
% 1.44/0.55  % (9114)Time elapsed: 0.146 s
% 1.44/0.55  % (9114)------------------------------
% 1.44/0.55  % (9114)------------------------------
% 1.44/0.55  % (9091)Refutation found. Thanks to Tanya!
% 1.44/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.44/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.55  % (9091)------------------------------
% 1.44/0.55  % (9091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55  % (9091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55  % (9091)Termination reason: Refutation
% 1.44/0.55  
% 1.44/0.55  % (9091)Memory used [KB]: 1407
% 1.44/0.55  % (9091)Time elapsed: 0.108 s
% 1.44/0.55  % (9091)Instructions burned: 3 (million)
% 1.44/0.55  % (9091)------------------------------
% 1.44/0.55  % (9091)------------------------------
% 1.44/0.55  % (9084)Success in time 0.188 s
%------------------------------------------------------------------------------