TSTP Solution File: COL039-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL039-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n001.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 15:52:30 EDT 2022

% Result   : Unsatisfiable 1.83s 0.59s
% Output   : Refutation 1.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   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   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f363,plain,
    $false,
    inference(equality_resolution,[],[f310]) ).

fof(f310,plain,
    ! [X55] : apply(apply(m,apply(apply(b,o),X55)),f(apply(X55,apply(apply(b,o),X55)))) != apply(apply(X55,apply(apply(b,o),X55)),f(apply(X55,apply(apply(b,o),X55)))),
    inference(superposition,[],[f10,f34]) ).

fof(f34,plain,
    ! [X0,X1] : apply(X0,apply(X1,apply(apply(b,X0),X1))) = apply(m,apply(apply(b,X0),X1)),
    inference(superposition,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0] : apply(m,X0) = apply(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_definition) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).

fof(f10,plain,
    ! [X1] : apply(X1,f(X1)) != apply(apply(o,X1),f(X1)),
    inference(superposition,[],[f4,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : apply(apply(o,X0),X1) = apply(X1,apply(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o_definition) ).

fof(f4,axiom,
    ! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : COL039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % 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 : n001.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   : Mon Aug 29 17:32:29 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (11310)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 (3000ds/191324Mi)
% 0.20/0.50  TRYING [1]
% 0.20/0.50  TRYING [2]
% 0.20/0.50  TRYING [3]
% 0.20/0.50  TRYING [4]
% 0.20/0.50  % (11333)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 (3000ds/498Mi)
% 0.20/0.50  % (11311)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.51  % (11326)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 (3000ds/75Mi)
% 0.20/0.51  % (11324)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.51  % (11312)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 (3000ds/37Mi)
% 0.20/0.51  % (11318)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.52  % (11322)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.52  % (11336)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.52  % (11325)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 (3000ds/68Mi)
% 0.20/0.52  % (11332)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.52  % (11318)Instruction limit reached!
% 0.20/0.52  % (11318)------------------------------
% 0.20/0.52  % (11318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (11318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (11318)Termination reason: Unknown
% 0.20/0.52  % (11318)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (11318)Memory used [KB]: 5373
% 0.20/0.52  % (11318)Time elapsed: 0.118 s
% 0.20/0.52  % (11318)Instructions burned: 3 (million)
% 0.20/0.52  % (11318)------------------------------
% 0.20/0.52  % (11318)------------------------------
% 0.20/0.52  % (11315)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 (3000ds/48Mi)
% 0.20/0.53  % (11337)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 (3000ds/68Mi)
% 0.20/0.53  % (11320)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.53  % (11340)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 (3000ds/355Mi)
% 0.20/0.53  % (11335)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.53  % (11313)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.53  % (11321)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.53  % (11314)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.53  % (11317)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.54  % (11316)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.54  % (11330)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 (3000ds/100Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  TRYING [3]
% 0.20/0.54  % (11339)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.54  % (11338)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 (3000ds/177Mi)
% 0.20/0.54  TRYING [4]
% 0.20/0.54  % (11328)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (11329)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.54  % (11334)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 (3000ds/467Mi)
% 0.20/0.54  % (11331)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 (3000ds/176Mi)
% 0.20/0.55  % (11327)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 (3000ds/99Mi)
% 0.20/0.55  % (11319)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 (3000ds/51Mi)
% 0.20/0.56  % (11317)Instruction limit reached!
% 0.20/0.56  % (11317)------------------------------
% 0.20/0.56  % (11317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (11317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (11317)Termination reason: Unknown
% 0.20/0.56  % (11317)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (11317)Memory used [KB]: 5500
% 0.20/0.56  % (11317)Time elapsed: 0.145 s
% 0.20/0.56  % (11317)Instructions burned: 7 (million)
% 0.20/0.56  % (11317)------------------------------
% 0.20/0.56  % (11317)------------------------------
% 0.20/0.57  TRYING [3]
% 0.20/0.57  TRYING [4]
% 0.20/0.57  % (11312)Instruction limit reached!
% 0.20/0.57  % (11312)------------------------------
% 0.20/0.57  % (11312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (11312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (11312)Termination reason: Unknown
% 0.20/0.57  % (11312)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (11312)Memory used [KB]: 1663
% 0.20/0.57  % (11312)Time elapsed: 0.170 s
% 0.20/0.57  % (11312)Instructions burned: 37 (million)
% 0.20/0.57  % (11312)------------------------------
% 0.20/0.57  % (11312)------------------------------
% 0.20/0.57  TRYING [5]
% 0.20/0.58  % (11326)First to succeed.
% 1.83/0.59  % (11326)Refutation found. Thanks to Tanya!
% 1.83/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.83/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.59  % (11326)------------------------------
% 1.83/0.59  % (11326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.59  % (11326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59  % (11326)Termination reason: Refutation
% 1.83/0.59  
% 1.83/0.59  % (11326)Memory used [KB]: 1918
% 1.83/0.59  % (11326)Time elapsed: 0.168 s
% 1.83/0.59  % (11326)Instructions burned: 49 (million)
% 1.83/0.59  % (11326)------------------------------
% 1.83/0.59  % (11326)------------------------------
% 1.83/0.59  % (11309)Success in time 0.235 s
%------------------------------------------------------------------------------