TSTP Solution File: ARI458_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI458_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 : n005.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 15:46:11 EDT 2022

% Result   : Theorem 1.77s 0.61s
% Output   : Refutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :   10 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   5   ~;   0   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   27 (   0 atm;   6 fun;  12 num;   9 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   7   !;   2   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ0_eqProxy: ( $real * $real ) > $o ).

tff(f40,plain,
    $false,
    inference(gaussian_variable_elimination,[],[f39]) ).

tff(f39,plain,
    ! [X0: $real] : ( $product(X0,-0.08) != 1.14 ),
    inference(constrained_resolution,[],[f37,f23]) ).

tff(f23,plain,
    ! [X0: $real] : ~ sQ0_eqProxy($product(X0,-0.08),1.14),
    inference(equality_proxy_replacement,[],[f21,f22]) ).

tff(f22,plain,
    ! [X0: $real,X1: $real] :
      ( sQ0_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f21,plain,
    ! [X0: $real] : ( $product(X0,-0.08) != 1.14 ),
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    ! [X0: $real] : ( $product(X0,-0.08) != 1.14 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $real] : ( $product(X0,-0.08) = 1.14 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $real] : ( $product(X0,-0.08) = 1.14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_product_problem_23) ).

tff(f37,plain,
    ! [X0: $real] : sQ0_eqProxy(X0,X0),
    inference(equality_proxy_axiom,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI458=1 : TPTP v8.1.0. Released v5.0.0.
% 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
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 15:42:03 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.50/0.56  % (21656)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 (2999ds/32Mi)
% 1.50/0.57  % (21660)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.50/0.57  % (21670)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.50/0.58  % (21668)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.50/0.58  % (21653)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 (2999ds/2Mi)
% 1.50/0.58  % (21653)Instruction limit reached!
% 1.50/0.58  % (21653)------------------------------
% 1.50/0.58  % (21653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58  % (21653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58  % (21653)Termination reason: Unknown
% 1.50/0.58  % (21653)Termination phase: Unused predicate definition removal
% 1.50/0.58  
% 1.50/0.58  % (21653)Memory used [KB]: 895
% 1.50/0.58  % (21653)Time elapsed: 0.002 s
% 1.50/0.58  % (21653)Instructions burned: 2 (million)
% 1.50/0.58  % (21653)------------------------------
% 1.50/0.58  % (21653)------------------------------
% 1.77/0.58  % (21676)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.77/0.58  % (21668)Refutation not found, incomplete strategy% (21668)------------------------------
% 1.77/0.58  % (21668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.58  % (21668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.58  % (21668)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.58  
% 1.77/0.58  % (21668)Memory used [KB]: 5373
% 1.77/0.58  % (21668)Time elapsed: 0.156 s
% 1.77/0.58  % (21668)Instructions burned: 1 (million)
% 1.77/0.58  % (21668)------------------------------
% 1.77/0.58  % (21668)------------------------------
% 1.77/0.59  % (21673)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.77/0.59  % (21655)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.77/0.59  % (21661)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.77/0.59  % (21661)Instruction limit reached!
% 1.77/0.59  % (21661)------------------------------
% 1.77/0.59  % (21661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59  % (21661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59  % (21661)Termination reason: Unknown
% 1.77/0.59  % (21661)Termination phase: Saturation
% 1.77/0.59  
% 1.77/0.59  % (21661)Memory used [KB]: 5500
% 1.77/0.59  % (21661)Time elapsed: 0.166 s
% 1.77/0.59  % (21661)Instructions burned: 4 (million)
% 1.77/0.59  % (21661)------------------------------
% 1.77/0.59  % (21661)------------------------------
% 1.77/0.59  % (21652)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.77/0.59  % (21659)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 (2999ds/2Mi)
% 1.77/0.60  % (21659)First to succeed.
% 1.77/0.60  % (21658)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 (2999ds/26Mi)
% 1.77/0.60  % (21665)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 (2999ds/2Mi)
% 1.77/0.60  % (21662)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 (2999ds/2Mi)
% 1.77/0.60  % (21654)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 (2999ds/37Mi)
% 1.77/0.60  % (21670)Instruction limit reached!
% 1.77/0.60  % (21670)------------------------------
% 1.77/0.60  % (21670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60  % (21670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.60  % (21670)Termination reason: Unknown
% 1.77/0.60  % (21670)Termination phase: Saturation
% 1.77/0.60  
% 1.77/0.60  % (21670)Memory used [KB]: 1151
% 1.77/0.60  % (21670)Time elapsed: 0.166 s
% 1.77/0.60  % (21670)Instructions burned: 16 (million)
% 1.77/0.60  % (21670)------------------------------
% 1.77/0.60  % (21670)------------------------------
% 1.77/0.60  % (21662)Instruction limit reached!
% 1.77/0.60  % (21662)------------------------------
% 1.77/0.60  % (21662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60  % (21662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.60  % (21662)Termination reason: Unknown
% 1.77/0.60  % (21662)Termination phase: Saturation
% 1.77/0.60  
% 1.77/0.60  % (21662)Memory used [KB]: 895
% 1.77/0.60  % (21662)Time elapsed: 0.003 s
% 1.77/0.60  % (21662)Instructions burned: 2 (million)
% 1.77/0.60  % (21662)------------------------------
% 1.77/0.60  % (21662)------------------------------
% 1.77/0.61  % (21679)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=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 1.77/0.61  % (21659)Refutation found. Thanks to Tanya!
% 1.77/0.61  % SZS status Theorem for theBenchmark
% 1.77/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.61  % (21659)------------------------------
% 1.77/0.61  % (21659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61  % (21659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61  % (21659)Termination reason: Refutation
% 1.77/0.61  
% 1.77/0.61  % (21659)Memory used [KB]: 5373
% 1.77/0.61  % (21659)Time elapsed: 0.169 s
% 1.77/0.61  % (21659)Instructions burned: 1 (million)
% 1.77/0.61  % (21659)------------------------------
% 1.77/0.61  % (21659)------------------------------
% 1.77/0.61  % (21649)Success in time 0.249 s
%------------------------------------------------------------------------------