TSTP Solution File: COL033-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL033-1 : 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_uns --cores 0 -t %d %s

% Computer : n018.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 15:51:44 EDT 2022

% Result   : Unsatisfiable 0.16s 0.51s
% Output   : Refutation 0.16s
% 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    :    7 (   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   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f97,plain,
    $false,
    inference(trivial_inequality_removal,[],[f96]) ).

fof(f96,plain,
    apply(m,apply(l,f(apply(apply(b,m),l)))) != apply(m,apply(l,f(apply(apply(b,m),l)))),
    inference(superposition,[],[f60,f6]) ).

fof(f6,plain,
    ! [X0] : apply(m,apply(l,X0)) = apply(X0,apply(m,apply(l,X0))),
    inference(superposition,[],[f2,f3]) ).

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

fof(f2,axiom,
    ! [X0,X1] : apply(apply(l,X0),X1) = apply(X0,apply(X1,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_definition) ).

fof(f60,plain,
    ! [X2,X3] : apply(f(apply(apply(b,X2),X3)),apply(X2,apply(X3,f(apply(apply(b,X2),X3))))) != apply(X2,apply(X3,f(apply(apply(b,X2),X3)))),
    inference(superposition,[],[f4,f1]) ).

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(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
% 0.10/0.10  % Problem    : COL033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n018.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Aug 29 16:58:09 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.47  % (17646)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/321Mi)
% 0.16/0.47  % (17646)Refutation not found, incomplete strategy% (17646)------------------------------
% 0.16/0.47  % (17646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48  % (17646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48  % (17646)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.48  
% 0.16/0.48  % (17646)Memory used [KB]: 5373
% 0.16/0.48  % (17646)Time elapsed: 0.092 s
% 0.16/0.48  % (17646)Instructions burned: 1 (million)
% 0.16/0.48  % (17646)------------------------------
% 0.16/0.48  % (17646)------------------------------
% 0.16/0.48  % (17655)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/111Mi)
% 0.16/0.48  % (17647)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/212Mi)
% 0.16/0.48  % (17638)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.16/0.49  % (17639)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.16/0.49  % (17638)Instruction limit reached!
% 0.16/0.49  % (17638)------------------------------
% 0.16/0.49  % (17638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (17638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (17638)Termination reason: Unknown
% 0.16/0.49  % (17638)Termination phase: Saturation
% 0.16/0.49  
% 0.16/0.49  % (17638)Memory used [KB]: 5500
% 0.16/0.49  % (17638)Time elapsed: 0.115 s
% 0.16/0.49  % (17638)Instructions burned: 7 (million)
% 0.16/0.49  % (17638)------------------------------
% 0.16/0.49  % (17638)------------------------------
% 0.16/0.49  % (17654)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.16/0.49  % (17655)First to succeed.
% 0.16/0.50  % (17645)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/353Mi)
% 0.16/0.51  % (17655)Refutation found. Thanks to Tanya!
% 0.16/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51  % (17655)------------------------------
% 0.16/0.51  % (17655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (17655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (17655)Termination reason: Refutation
% 0.16/0.51  
% 0.16/0.51  % (17655)Memory used [KB]: 5628
% 0.16/0.51  % (17655)Time elapsed: 0.067 s
% 0.16/0.51  % (17655)Instructions burned: 8 (million)
% 0.16/0.51  % (17655)------------------------------
% 0.16/0.51  % (17655)------------------------------
% 0.16/0.51  % (17631)Success in time 0.183 s
%------------------------------------------------------------------------------