TSTP Solution File: ARI710_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI710_1 : TPTP v8.1.0. Released v6.3.0.
% 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 : n019.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 15:46:57 EDT 2022

% Result   : Theorem 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (  15 unt;   4 typ;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   40 (   0 atm;  31 fun;   3 num;   6 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   4 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    b: $int ).

tff(func_def_1,type,
    a: $int ).

tff(func_def_2,type,
    c: $int ).

tff(func_def_3,type,
    d: $int ).

tff(f222,plain,
    $false,
    inference(unit_resulting_resolution,[],[f79,f67]) ).

tff(f67,plain,
    b = $product(a,$product(c,d)),
    inference(superposition,[],[f16,f44]) ).

tff(f44,plain,
    b = $product($product(a,c),d),
    inference(forward_demodulation,[],[f23,f17]) ).

tff(f17,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f23,plain,
    $product(b,1) = $product($product(a,c),d),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    $product(b,1) = $product($product(a,c),d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq) ).

tff(f16,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product($product(X0,X1),X2) = $product(X0,$product(X1,X2)) ),
    introduced(theory_axiom_141,[]) ).

tff(f79,plain,
    b != $product(a,$product(c,d)),
    inference(forward_demodulation,[],[f72,f15]) ).

tff(f15,plain,
    ! [X0: $int,X1: $int] : ( $product(X1,X0) = $product(X0,X1) ),
    introduced(theory_axiom_140,[]) ).

tff(f72,plain,
    b != $product(a,$product(d,c)),
    inference(superposition,[],[f30,f16]) ).

tff(f30,plain,
    b != $product($product(a,d),c),
    inference(backward_demodulation,[],[f24,f15]) ).

tff(f24,plain,
    b != $product($product(d,a),c),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    b != $product($product(d,a),c),
    inference(flattening,[],[f3]) ).

tff(f3,negated_conjecture,
    ( ( ~ b )
    = $product($product(d,a),c) ),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    b = $product($product(d,a),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI710=1 : TPTP v8.1.0. Released v6.3.0.
% 0.03/0.13  % 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 : n019.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 16:00:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.50  % (11121)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 (2999ds/46Mi)
% 0.19/0.51  % (11100)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)
% 0.19/0.51  % (11113)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 (2999ds/50Mi)
% 0.19/0.51  % (11105)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)
% 0.19/0.51  % (11105)Refutation not found, incomplete strategy% (11105)------------------------------
% 0.19/0.51  % (11105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (11105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (11105)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (11105)Memory used [KB]: 5500
% 0.19/0.51  % (11105)Time elapsed: 0.098 s
% 0.19/0.51  % (11105)Instructions burned: 2 (million)
% 0.19/0.51  % (11105)------------------------------
% 0.19/0.51  % (11105)------------------------------
% 0.19/0.52  % (11113)Refutation not found, incomplete strategy% (11113)------------------------------
% 0.19/0.52  % (11113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (11113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (11113)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (11113)Memory used [KB]: 5628
% 0.19/0.52  % (11113)Time elapsed: 0.109 s
% 0.19/0.52  % (11113)Instructions burned: 5 (million)
% 0.19/0.52  % (11113)------------------------------
% 0.19/0.52  % (11113)------------------------------
% 0.19/0.52  % (11121)Refutation not found, incomplete strategy% (11121)------------------------------
% 0.19/0.52  % (11121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (11121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (11121)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (11121)Memory used [KB]: 1023
% 0.19/0.52  % (11121)Time elapsed: 0.113 s
% 0.19/0.52  % (11121)Instructions burned: 3 (million)
% 0.19/0.52  % (11121)------------------------------
% 0.19/0.52  % (11121)------------------------------
% 0.19/0.52  % (11124)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 (2999ds/42Mi)
% 0.19/0.52  % (11116)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 (2999ds/49Mi)
% 0.19/0.52  % (11109)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.52  % (11122)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)
% 0.19/0.52  % (11124)Refutation not found, incomplete strategy% (11124)------------------------------
% 0.19/0.52  % (11124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (11125)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.53  % (11100)Instruction limit reached!
% 0.19/0.53  % (11100)------------------------------
% 0.19/0.53  % (11100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11100)Termination reason: Unknown
% 0.19/0.53  % (11100)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (11100)Memory used [KB]: 5500
% 0.19/0.53  % (11100)Time elapsed: 0.116 s
% 0.19/0.53  % (11100)Instructions burned: 8 (million)
% 0.19/0.53  % (11100)------------------------------
% 0.19/0.53  % (11100)------------------------------
% 0.19/0.53  % (11114)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)
% 0.19/0.53  % (11117)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)
% 0.19/0.53  % (11114)Instruction limit reached!
% 0.19/0.53  % (11114)------------------------------
% 0.19/0.53  % (11114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11114)Termination reason: Unknown
% 0.19/0.53  % (11114)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (11114)Memory used [KB]: 895
% 0.19/0.53  % (11114)Time elapsed: 0.002 s
% 0.19/0.53  % (11114)Instructions burned: 2 (million)
% 0.19/0.53  % (11114)------------------------------
% 0.19/0.53  % (11114)------------------------------
% 0.19/0.53  % (11117)Refutation not found, incomplete strategy% (11117)------------------------------
% 0.19/0.53  % (11117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11117)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  % (11104)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)
% 0.19/0.53  
% 0.19/0.53  % (11117)Memory used [KB]: 5373
% 0.19/0.53  % (11117)Time elapsed: 0.135 s
% 0.19/0.53  % (11117)Instructions burned: 1 (million)
% 0.19/0.53  % (11117)------------------------------
% 0.19/0.53  % (11117)------------------------------
% 0.19/0.53  % (11099)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 (2999ds/34Mi)
% 0.19/0.53  % (11127)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 (2999ds/21Mi)
% 0.19/0.53  % (11102)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)
% 0.19/0.53  % (11106)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 (2999ds/36Mi)
% 0.19/0.53  % (11102)Instruction limit reached!
% 0.19/0.53  % (11102)------------------------------
% 0.19/0.53  % (11102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11102)Termination reason: Unknown
% 0.19/0.53  % (11102)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (11102)Memory used [KB]: 895
% 0.19/0.53  % (11102)Time elapsed: 0.002 s
% 0.19/0.53  % (11102)Instructions burned: 2 (million)
% 0.19/0.53  % (11102)------------------------------
% 0.19/0.53  % (11102)------------------------------
% 0.19/0.53  % (11116)First to succeed.
% 0.19/0.53  % (11124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11124)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (11124)Memory used [KB]: 5500
% 0.19/0.53  % (11124)Time elapsed: 0.115 s
% 0.19/0.53  % (11124)Instructions burned: 3 (million)
% 0.19/0.53  % (11124)------------------------------
% 0.19/0.53  % (11124)------------------------------
% 0.19/0.53  % (11108)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)
% 0.19/0.53  % (11122)Refutation not found, incomplete strategy% (11122)------------------------------
% 0.19/0.53  % (11122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11122)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (11122)Memory used [KB]: 5373
% 0.19/0.53  % (11122)Time elapsed: 0.085 s
% 0.19/0.53  % (11122)Instructions burned: 2 (million)
% 0.19/0.53  % (11122)------------------------------
% 0.19/0.53  % (11122)------------------------------
% 0.19/0.53  % (11108)Instruction limit reached!
% 0.19/0.53  % (11108)------------------------------
% 0.19/0.53  % (11108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11103)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)
% 0.19/0.53  % (11108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11108)Termination reason: Unknown
% 0.19/0.53  % (11108)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (11108)Memory used [KB]: 895
% 0.19/0.53  % (11108)Time elapsed: 0.003 s
% 0.19/0.53  % (11108)Instructions burned: 2 (million)
% 0.19/0.53  % (11108)------------------------------
% 0.19/0.53  % (11108)------------------------------
% 0.19/0.54  % (11129)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)
% 0.19/0.54  % (11118)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (11118)Refutation not found, incomplete strategy% (11118)------------------------------
% 0.19/0.54  % (11118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (11118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (11118)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (11118)Memory used [KB]: 5373
% 0.19/0.54  % (11118)Time elapsed: 0.138 s
% 0.19/0.54  % (11118)------------------------------
% 0.19/0.54  % (11118)------------------------------
% 0.19/0.54  % (11116)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Theorem for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (11116)------------------------------
% 0.19/0.54  % (11116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (11116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (11116)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (11116)Memory used [KB]: 5628
% 0.19/0.54  % (11116)Time elapsed: 0.122 s
% 0.19/0.54  % (11116)Instructions burned: 14 (million)
% 0.19/0.54  % (11116)------------------------------
% 0.19/0.54  % (11116)------------------------------
% 0.19/0.54  % (11094)Success in time 0.177 s
%------------------------------------------------------------------------------