TSTP Solution File: LAT032-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n006.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 17:35:54 EDT 2022

% Result   : Unsatisfiable 1.50s 0.56s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   11 (  11   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f48,plain,
    $false,
    inference(subsumption_resolution,[],[f47,f29]) ).

fof(f29,plain,
    ! [X2,X3,X4] : meet(X2,meet(join(X2,X3),X4)) = meet(X2,X4),
    inference(superposition,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : meet(X0,join(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).

fof(f7,axiom,
    ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).

fof(f47,plain,
    meet(xx,join(yy,zz)) != meet(xx,meet(join(xx,zz),join(yy,zz))),
    inference(backward_demodulation,[],[f21,f29]) ).

fof(f21,plain,
    meet(xx,join(yy,zz)) != meet(xx,meet(join(xx,yy),meet(join(xx,zz),join(yy,zz)))),
    inference(backward_demodulation,[],[f19,f2]) ).

fof(f2,axiom,
    ! [X0] : join(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).

fof(f19,plain,
    meet(xx,join(yy,zz)) != meet(join(xx,xx),meet(join(xx,yy),meet(join(xx,zz),join(yy,zz)))),
    inference(forward_demodulation,[],[f18,f7]) ).

fof(f18,plain,
    meet(xx,join(yy,zz)) != meet(meet(join(xx,xx),join(xx,yy)),meet(join(xx,zz),join(yy,zz))),
    inference(forward_demodulation,[],[f17,f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).

fof(f17,plain,
    meet(xx,join(yy,zz)) != meet(join(xx,meet(xx,yy)),meet(join(xx,zz),join(yy,zz))),
    inference(forward_demodulation,[],[f16,f6]) ).

fof(f6,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).

fof(f16,plain,
    meet(xx,join(yy,zz)) != meet(join(meet(xx,yy),xx),meet(join(xx,zz),join(yy,zz))),
    inference(forward_demodulation,[],[f15,f6]) ).

fof(f15,plain,
    meet(xx,join(yy,zz)) != meet(join(meet(xx,yy),xx),meet(join(zz,xx),join(yy,zz))),
    inference(forward_demodulation,[],[f14,f6]) ).

fof(f14,plain,
    meet(xx,join(yy,zz)) != meet(join(meet(xx,yy),xx),meet(join(zz,xx),join(zz,yy))),
    inference(forward_demodulation,[],[f13,f9]) ).

fof(f13,plain,
    meet(xx,join(yy,zz)) != meet(join(meet(xx,yy),xx),join(zz,meet(xx,yy))),
    inference(backward_demodulation,[],[f12,f6]) ).

fof(f12,plain,
    meet(xx,join(yy,zz)) != meet(join(meet(xx,yy),xx),join(meet(xx,yy),zz)),
    inference(forward_demodulation,[],[f10,f9]) ).

fof(f10,axiom,
    meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(xx,zz)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 00:42:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (23331)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.49  % (23332)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50  % (23327)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50  TRYING [1]
% 0.19/0.50  TRYING [2]
% 0.19/0.50  % (23323)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (23322)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50  % (23320)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (23336)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51  % (23315)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51  % (23319)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (23321)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (23330)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52  % (23328)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (23313)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (23311)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (23334)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (23339)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.52  % (23333)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52  % (23324)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  % (23312)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53  TRYING [4]
% 0.19/0.53  % (23310)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  % (23326)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (23314)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (23333)First to succeed.
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (23316)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (23318)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (23318)Instruction limit reached!
% 0.19/0.53  % (23318)------------------------------
% 0.19/0.53  % (23318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (23318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (23318)Termination reason: Unknown
% 0.19/0.53  % (23318)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (23318)Memory used [KB]: 5373
% 0.19/0.53  % (23318)Time elapsed: 0.002 s
% 0.19/0.53  % (23318)Instructions burned: 2 (million)
% 0.19/0.53  % (23318)------------------------------
% 0.19/0.53  % (23318)------------------------------
% 0.19/0.53  % (23335)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53  TRYING [3]
% 0.19/0.54  % (23338)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54  % (23337)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54  % (23329)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.54  % (23325)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.50/0.55  % (23317)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.50/0.55  TRYING [1]
% 1.50/0.55  TRYING [2]
% 1.50/0.55  TRYING [3]
% 1.50/0.55  % (23317)Instruction limit reached!
% 1.50/0.55  % (23317)------------------------------
% 1.50/0.55  % (23317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (23317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (23317)Termination reason: Unknown
% 1.50/0.55  % (23317)Termination phase: Saturation
% 1.50/0.55  
% 1.50/0.55  % (23317)Memory used [KB]: 5373
% 1.50/0.55  % (23317)Time elapsed: 0.161 s
% 1.50/0.55  % (23317)Instructions burned: 7 (million)
% 1.50/0.55  % (23317)------------------------------
% 1.50/0.55  % (23317)------------------------------
% 1.50/0.56  % (23333)Refutation found. Thanks to Tanya!
% 1.50/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.50/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.56  % (23333)------------------------------
% 1.50/0.56  % (23333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56  % (23333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56  % (23333)Termination reason: Refutation
% 1.50/0.56  
% 1.50/0.56  % (23333)Memory used [KB]: 5373
% 1.50/0.56  % (23333)Time elapsed: 0.096 s
% 1.50/0.56  % (23333)Instructions burned: 3 (million)
% 1.50/0.56  % (23333)------------------------------
% 1.50/0.56  % (23333)------------------------------
% 1.50/0.56  % (23308)Success in time 0.207 s
%------------------------------------------------------------------------------