TSTP Solution File: CAT001-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CAT001-3 : 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_uns --cores 0 -t %d %s

% Computer : n004.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 15:50:36 EDT 2022

% Result   : Unsatisfiable 1.50s 0.60s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   5 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f48,plain,
    $false,
    inference(subsumption_resolution,[],[f47,f22]) ).

fof(f22,axiom,
    h != g,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_h_equals_g) ).

fof(f47,plain,
    h = g,
    inference(equality_resolution,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( compose(a,compose(b,h)) != compose(a,compose(b,X0))
      | g = X0 ),
    inference(superposition,[],[f32,f21]) ).

fof(f21,axiom,
    compose(b,h) = compose(b,g),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bh_equals_bg) ).

fof(f32,plain,
    ! [X0,X1] :
      ( compose(a,compose(b,X1)) != compose(a,compose(b,X0))
      | X0 = X1 ),
    inference(superposition,[],[f30,f9]) ).

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

fof(f30,plain,
    ! [X0,X1] :
      ( compose(compose(a,b),X1) != compose(a,compose(b,X0))
      | X0 = X1 ),
    inference(superposition,[],[f23,f9]) ).

fof(f23,plain,
    ! [X2,X0] :
      ( compose(compose(a,b),X0) != compose(compose(a,b),X2)
      | X0 = X2 ),
    inference(equality_resolution,[],[f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( compose(compose(a,b),X0) != X1
      | compose(compose(a,b),X2) != X1
      | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monomorphism) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : CAT001-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n004.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   : Mon Aug 29 16:11:35 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 1.50/0.57  % (17127)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.50/0.58  % (17119)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.50/0.58  % (17119)Instruction limit reached!
% 1.50/0.58  % (17119)------------------------------
% 1.50/0.58  % (17119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58  % (17119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58  % (17119)Termination reason: Unknown
% 1.50/0.58  % (17119)Termination phase: Saturation
% 1.50/0.58  
% 1.50/0.58  % (17119)Memory used [KB]: 5884
% 1.50/0.58  % (17119)Time elapsed: 0.140 s
% 1.50/0.58  % (17119)Instructions burned: 3 (million)
% 1.50/0.58  % (17119)------------------------------
% 1.50/0.58  % (17119)------------------------------
% 1.50/0.58  % (17127)Instruction limit reached!
% 1.50/0.58  % (17127)------------------------------
% 1.50/0.58  % (17127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58  % (17127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58  % (17127)Termination reason: Unknown
% 1.50/0.58  % (17127)Termination phase: Saturation
% 1.50/0.58  
% 1.50/0.58  % (17127)Memory used [KB]: 5884
% 1.50/0.58  % (17127)Time elapsed: 0.154 s
% 1.50/0.58  % (17127)Instructions burned: 2 (million)
% 1.50/0.58  % (17127)------------------------------
% 1.50/0.58  % (17127)------------------------------
% 1.50/0.58  % (17135)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.50/0.59  % (17126)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.50/0.59  % (17118)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)
% 1.50/0.59  % (17114)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)
% 1.50/0.59  % (17134)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.50/0.59  % (17136)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.50/0.60  % (17113)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)
% 1.50/0.60  % (17111)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.50/0.60  % (17118)First to succeed.
% 1.50/0.60  % (17118)Refutation found. Thanks to Tanya!
% 1.50/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.50/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.60  % (17118)------------------------------
% 1.50/0.60  % (17118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.60  % (17118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.60  % (17118)Termination reason: Refutation
% 1.50/0.60  
% 1.50/0.60  % (17118)Memory used [KB]: 5884
% 1.50/0.60  % (17118)Time elapsed: 0.147 s
% 1.50/0.60  % (17118)Instructions burned: 2 (million)
% 1.50/0.60  % (17118)------------------------------
% 1.50/0.60  % (17118)------------------------------
% 1.50/0.60  % (17110)Success in time 0.237 s
%------------------------------------------------------------------------------