TSTP Solution File: ARI343_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI343_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n027.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 15:45:55 EDT 2022

% Result   : Theorem 0.15s 0.51s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   8   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   90 (  10 atm;  28 fun;  36 num;  16 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   0 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (  14   !;   2   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f60,plain,
    $false,
    inference(gaussian_variable_elimination,[],[f59]) ).

tff(f59,plain,
    ! [X2: $rat] : ( -64/5 != $sum(-3/4,$product(X2,16/5)) ),
    inference(gaussian_variable_elimination,[],[f47]) ).

tff(f47,plain,
    ! [X2: $rat,X3: $rat] :
      ( ( $sum(-3/4,$product(X3,16/5)) != -69/5 )
      | ( -64/5 != $sum(-3/4,$product(X2,16/5)) ) ),
    inference(constrained_resolution,[],[f35,f23]) ).

tff(f23,plain,
    ! [X0: $rat] : ~ $less($sum(-3/4,$product(X0,16/5)),-64/5),
    inference(forward_demodulation,[],[f21,f3]) ).

tff(f3,plain,
    ! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f21,plain,
    ! [X0: $rat] : ~ $less($sum($product(X0,16/5),-3/4),-64/5),
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    ! [X0: $rat] : ~ $less($sum($product(X0,16/5),-3/4),-64/5),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : $less($sum($product(X0,16/5),-3/4),-64/5),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : $less($sum($product(X0,16/5),-3/4),-64/5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_9) ).

tff(f35,plain,
    ! [X1: $rat] : $less(-69/5,$sum(-3/4,$product(X1,16/5))),
    inference(evaluation,[],[f34]) ).

tff(f34,plain,
    ! [X1: $rat] : $less($sum(-64/5,$uminus(1/1)),$sum(-3/4,$product(X1,16/5))),
    inference(gaussian_variable_elimination,[],[f24]) ).

tff(f24,plain,
    ! [X0: $rat,X1: $rat] :
      ( $less(X0,$sum(-3/4,$product(X1,16/5)))
      | ( -64/5 != $sum(X0,1/1) ) ),
    inference(constrained_resolution,[],[f23,f12]) ).

tff(f12,plain,
    ! [X0: $rat,X1: $rat] :
      ( $less(X1,$sum(X0,1/1))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : ARI343=1 : TPTP v8.1.0. Released v5.0.0.
% 0.09/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.31  % Computer : n027.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit   : 300
% 0.09/0.31  % WCLimit    : 300
% 0.09/0.31  % DateTime   : Mon Aug 29 15:49:45 EDT 2022
% 0.09/0.31  % CPUTime    : 
% 0.15/0.46  % (5581)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.15/0.48  % (5598)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.15/0.48  % (5590)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.49  % (5597)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.15/0.49  % (5589)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.15/0.49  % (5590)Instruction limit reached!
% 0.15/0.49  % (5590)------------------------------
% 0.15/0.49  % (5590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (5590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (5590)Termination reason: Unknown
% 0.15/0.49  % (5590)Termination phase: Saturation
% 0.15/0.49  
% 0.15/0.49  % (5590)Memory used [KB]: 895
% 0.15/0.49  % (5590)Time elapsed: 0.006 s
% 0.15/0.49  % (5590)Instructions burned: 2 (million)
% 0.15/0.49  % (5590)------------------------------
% 0.15/0.49  % (5590)------------------------------
% 0.15/0.49  % (5582)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 0.15/0.50  % (5589)First to succeed.
% 0.15/0.50  % (5586)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.15/0.50  % (5575)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.15/0.51  % (5589)Refutation found. Thanks to Tanya!
% 0.15/0.51  % SZS status Theorem for theBenchmark
% 0.15/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.51  % (5589)------------------------------
% 0.15/0.51  % (5589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51  % (5589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51  % (5589)Termination reason: Refutation
% 0.15/0.51  
% 0.15/0.51  % (5589)Memory used [KB]: 5500
% 0.15/0.51  % (5589)Time elapsed: 0.126 s
% 0.15/0.51  % (5589)Instructions burned: 2 (million)
% 0.15/0.51  % (5589)------------------------------
% 0.15/0.51  % (5589)------------------------------
% 0.15/0.51  % (5574)Success in time 0.191 s
% 0.15/0.51  % (5583)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/26Mi)
%------------------------------------------------------------------------------