TSTP Solution File: ARI494_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI494_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 : n023.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 15:46:13 EDT 2022

% Result   : Theorem 1.44s 0.67s
% Output   : Refutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   9   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  101 (  11 atm;  32 fun;  39 num;  19 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   :   19 (  17   !;   2   ?;  19   :)

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

tff(f59,plain,
    ! [X4: $real] : ( $sum(-0.75,$product(3.2,X4)) != -13.8 ),
    inference(gaussian_variable_elimination,[],[f48]) ).

tff(f48,plain,
    ! [X2: $real,X4: $real] :
      ( ( -12.8 != $sum(-0.75,$product(X2,3.2)) )
      | ( $sum(-0.75,$product(3.2,X4)) != -13.8 ) ),
    inference(constrained_resolution,[],[f35,f30]) ).

tff(f30,plain,
    ! [X3: $real] : ~ $less($sum(-0.75,$product(3.2,X3)),-12.8),
    inference(superposition,[],[f23,f14]) ).

tff(f14,plain,
    ! [X0: $real,X1: $real] : ( $product(X1,X0) = $product(X0,X1) ),
    introduced(theory_axiom_140,[]) ).

tff(f23,plain,
    ! [X0: $real] : ~ $less($sum(-0.75,$product(X0,3.2)),-12.8),
    inference(forward_demodulation,[],[f21,f3]) ).

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

tff(f21,plain,
    ! [X0: $real] : ~ $less($sum($product(X0,3.2),-0.75),-12.8),
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    ! [X0: $real] : ~ $less($sum($product(X0,3.2),-0.75),-12.8),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $real] : $less($sum($product(X0,3.2),-0.75),-12.8),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $real] : $less($sum($product(X0,3.2),-0.75),-12.8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_combined_problem_9) ).

tff(f35,plain,
    ! [X1: $real] : $less(-13.8,$sum(-0.75,$product(X1,3.2))),
    inference(evaluation,[],[f34]) ).

tff(f34,plain,
    ! [X1: $real] : $less($sum(-12.8,$uminus(1.0)),$sum(-0.75,$product(X1,3.2))),
    inference(gaussian_variable_elimination,[],[f24]) ).

tff(f24,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X0,$sum(-0.75,$product(X1,3.2)))
      | ( -12.8 != $sum(X0,1.0) ) ),
    inference(constrained_resolution,[],[f23,f12]) ).

tff(f12,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,$sum(X0,1.0))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : ARI494=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 16:04:05 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.12/0.34  ipcrm: permission denied for id (641204224)
% 0.12/0.35  ipcrm: permission denied for id (641236993)
% 0.12/0.35  ipcrm: permission denied for id (641335300)
% 0.12/0.35  ipcrm: permission denied for id (641368071)
% 0.19/0.36  ipcrm: permission denied for id (641400842)
% 0.19/0.36  ipcrm: permission denied for id (641433613)
% 0.19/0.36  ipcrm: permission denied for id (641466383)
% 0.19/0.37  ipcrm: permission denied for id (641499155)
% 0.19/0.37  ipcrm: permission denied for id (641531924)
% 0.19/0.37  ipcrm: permission denied for id (641597463)
% 0.19/0.38  ipcrm: permission denied for id (641663003)
% 0.19/0.38  ipcrm: permission denied for id (641794083)
% 0.19/0.39  ipcrm: permission denied for id (641826853)
% 0.19/0.39  ipcrm: permission denied for id (641859626)
% 0.19/0.40  ipcrm: permission denied for id (641990706)
% 0.19/0.40  ipcrm: permission denied for id (642023475)
% 0.19/0.41  ipcrm: permission denied for id (642121787)
% 0.19/0.42  ipcrm: permission denied for id (642252870)
% 0.19/0.42  ipcrm: permission denied for id (642285639)
% 0.19/0.42  ipcrm: permission denied for id (642351177)
% 0.19/0.43  ipcrm: permission denied for id (642515026)
% 0.19/0.45  ipcrm: permission denied for id (642777182)
% 0.19/0.45  ipcrm: permission denied for id (642842720)
% 0.19/0.46  ipcrm: permission denied for id (643039336)
% 0.19/0.47  ipcrm: permission denied for id (643137646)
% 0.19/0.47  ipcrm: permission denied for id (643203184)
% 0.19/0.47  ipcrm: permission denied for id (643268722)
% 0.19/0.47  ipcrm: permission denied for id (643301492)
% 0.19/0.48  ipcrm: permission denied for id (643367032)
% 0.19/0.48  ipcrm: permission denied for id (643399802)
% 0.19/0.48  ipcrm: permission denied for id (643432571)
% 0.86/0.60  % (2096)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.86/0.61  % (2096)Instruction limit reached!
% 0.86/0.61  % (2096)------------------------------
% 0.86/0.61  % (2096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.86/0.61  % (2096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.86/0.61  % (2096)Termination reason: Unknown
% 0.86/0.61  % (2096)Termination phase: Saturation
% 0.86/0.61  
% 0.86/0.61  % (2096)Memory used [KB]: 5373
% 0.86/0.61  % (2096)Time elapsed: 0.093 s
% 0.86/0.61  % (2096)Instructions burned: 2 (million)
% 0.86/0.61  % (2096)------------------------------
% 0.86/0.61  % (2096)------------------------------
% 0.86/0.62  % (2092)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.86/0.63  % (2112)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 0.86/0.63  % (2104)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 0.86/0.63  % (2107)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.86/0.64  % (2099)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.35/0.64  % (2092)Instruction limit reached!
% 1.35/0.64  % (2092)------------------------------
% 1.35/0.64  % (2092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.64  % (2092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.64  % (2092)Termination reason: Unknown
% 1.35/0.64  % (2092)Termination phase: Saturation
% 1.35/0.64  
% 1.35/0.64  % (2092)Memory used [KB]: 5628
% 1.35/0.64  % (2092)Time elapsed: 0.113 s
% 1.35/0.64  % (2092)Instructions burned: 15 (million)
% 1.35/0.64  % (2092)------------------------------
% 1.35/0.64  % (2092)------------------------------
% 1.35/0.65  % (2115)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.35/0.65  % (2099)Instruction limit reached!
% 1.35/0.65  % (2099)------------------------------
% 1.35/0.65  % (2099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.65  % (2099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.65  % (2099)Termination reason: Unknown
% 1.35/0.65  % (2099)Termination phase: Equality proxy
% 1.35/0.65  
% 1.35/0.65  % (2099)Memory used [KB]: 895
% 1.35/0.65  % (2099)Time elapsed: 0.003 s
% 1.35/0.65  % (2099)Instructions burned: 2 (million)
% 1.35/0.65  % (2099)------------------------------
% 1.35/0.65  % (2099)------------------------------
% 1.35/0.65  % (2098)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 1.35/0.66  % (2107)Instruction limit reached!
% 1.35/0.66  % (2107)------------------------------
% 1.35/0.66  % (2107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.66  % (2107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.66  % (2107)Termination reason: Unknown
% 1.35/0.66  % (2107)Termination phase: Saturation
% 1.35/0.66  
% 1.35/0.66  % (2107)Memory used [KB]: 1023
% 1.35/0.66  % (2107)Time elapsed: 0.115 s
% 1.35/0.66  % (2107)Instructions burned: 15 (million)
% 1.35/0.66  % (2107)------------------------------
% 1.35/0.66  % (2107)------------------------------
% 1.44/0.66  % (2097)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/35Mi)
% 1.44/0.66  % (2091)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.44/0.66  % (2090)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.44/0.67  % (2101)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 (2998ds/50Mi)
% 1.44/0.67  % (2087)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 (2998ds/59848Mi)
% 1.44/0.67  % (2088)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 1.44/0.67  % (2095)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 (2998ds/26Mi)
% 1.44/0.67  % (2101)First to succeed.
% 1.44/0.67  % (2101)Refutation found. Thanks to Tanya!
% 1.44/0.67  % SZS status Theorem for theBenchmark
% 1.44/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.67  % (2101)------------------------------
% 1.44/0.67  % (2101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.67  % (2101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.67  % (2101)Termination reason: Refutation
% 1.44/0.67  
% 1.44/0.67  % (2101)Memory used [KB]: 5500
% 1.44/0.67  % (2101)Time elapsed: 0.109 s
% 1.44/0.67  % (2101)Instructions burned: 2 (million)
% 1.44/0.67  % (2101)------------------------------
% 1.44/0.67  % (2101)------------------------------
% 1.44/0.67  % (1947)Success in time 0.329 s
%------------------------------------------------------------------------------