TSTP Solution File: ARI707_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI707_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 : n025.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 15:46:56 EDT 2022

% Result   : Theorem 1.74s 0.59s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (  10 unt;   2 typ;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   31 (   0 atm;  27 fun;   4 num;   0 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 (   2 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

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

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

tff(f28,plain,
    $false,
    inference(trivial_inequality_removal,[],[f27]) ).

tff(f27,plain,
    0 != 0,
    inference(cancellation,[],[f26]) ).

tff(f26,plain,
    $product($product(d,d),$product(d,d)) != $product($product($product(d,d),d),d),
    inference(forward_demodulation,[],[f23,f25]) ).

tff(f25,plain,
    $product(d,d) = c,
    inference(cancellation,[],[f24]) ).

tff(f24,plain,
    $sum($product(d,d),c) = $product($product(2,d),d),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    $sum($product(d,d),c) = $product($product(2,d),d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq) ).

tff(f23,plain,
    $product($product(c,d),d) != $product(c,c),
    inference(cnf_transformation,[],[f22]) ).

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ARI707=1 : TPTP v8.1.0. Released v6.3.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 16:06:14 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.53  % (2282)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 (2999ds/59848Mi)
% 0.19/0.53  % (2288)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)
% 0.19/0.54  % (2288)Refutation not found, incomplete strategy% (2288)------------------------------
% 0.19/0.54  % (2288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (2305)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)
% 0.19/0.55  % (2288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (2288)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (2288)Memory used [KB]: 5500
% 0.19/0.55  % (2288)Time elapsed: 0.129 s
% 0.19/0.55  % (2288)Instructions burned: 2 (million)
% 0.19/0.55  % (2288)------------------------------
% 0.19/0.55  % (2288)------------------------------
% 0.19/0.56  % (2305)Refutation not found, incomplete strategy% (2305)------------------------------
% 0.19/0.56  % (2305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (2305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (2305)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (2305)Memory used [KB]: 5373
% 0.19/0.56  % (2305)Time elapsed: 0.137 s
% 0.19/0.56  % (2305)Instructions burned: 3 (million)
% 0.19/0.56  % (2305)------------------------------
% 0.19/0.56  % (2305)------------------------------
% 0.19/0.56  % (2296)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)
% 0.19/0.56  % (2284)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)
% 0.19/0.56  % (2296)Refutation not found, incomplete strategy% (2296)------------------------------
% 0.19/0.56  % (2296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (2296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (2296)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (2296)Memory used [KB]: 5628
% 0.19/0.56  % (2296)Time elapsed: 0.137 s
% 0.19/0.56  % (2296)Instructions burned: 4 (million)
% 0.19/0.56  % (2296)------------------------------
% 0.19/0.56  % (2296)------------------------------
% 1.74/0.58  % (2291)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)
% 1.74/0.58  % (2291)Instruction limit reached!
% 1.74/0.58  % (2291)------------------------------
% 1.74/0.58  % (2291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58  % (2291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (2291)Termination reason: Unknown
% 1.74/0.58  % (2291)Termination phase: Saturation
% 1.74/0.58  
% 1.74/0.58  % (2291)Memory used [KB]: 5373
% 1.74/0.58  % (2291)Time elapsed: 0.171 s
% 1.74/0.58  % (2291)Instructions burned: 2 (million)
% 1.74/0.58  % (2291)------------------------------
% 1.74/0.58  % (2291)------------------------------
% 1.74/0.59  % (2292)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.74/0.59  % (2284)Instruction limit reached!
% 1.74/0.59  % (2284)------------------------------
% 1.74/0.59  % (2284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59  % (2284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59  % (2284)Termination reason: Unknown
% 1.74/0.59  % (2284)Termination phase: Saturation
% 1.74/0.59  
% 1.74/0.59  % (2284)Memory used [KB]: 5500
% 1.74/0.59  % (2284)Time elapsed: 0.158 s
% 1.74/0.59  % (2284)Instructions burned: 8 (million)
% 1.74/0.59  % (2284)------------------------------
% 1.74/0.59  % (2284)------------------------------
% 1.74/0.59  % (2293)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)
% 1.74/0.59  % (2285)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)
% 1.74/0.59  % (2292)First to succeed.
% 1.74/0.59  % (2285)Instruction limit reached!
% 1.74/0.59  % (2285)------------------------------
% 1.74/0.59  % (2285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59  % (2285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59  % (2285)Termination reason: Unknown
% 1.74/0.59  % (2285)Termination phase: Property scanning
% 1.74/0.59  
% 1.74/0.59  % (2285)Memory used [KB]: 895
% 1.74/0.59  % (2285)Time elapsed: 0.003 s
% 1.74/0.59  % (2285)Instructions burned: 2 (million)
% 1.74/0.59  % (2285)------------------------------
% 1.74/0.59  % (2285)------------------------------
% 1.74/0.59  % (2290)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)
% 1.74/0.59  % (2304)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)
% 1.74/0.59  % (2293)Refutation not found, incomplete strategy% (2293)------------------------------
% 1.74/0.59  % (2293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59  % (2293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59  % (2293)Termination reason: Refutation not found, incomplete strategy
% 1.74/0.59  
% 1.74/0.59  % (2293)Memory used [KB]: 5373
% 1.74/0.59  % (2293)Time elapsed: 0.162 s
% 1.74/0.59  % (2292)Refutation found. Thanks to Tanya!
% 1.74/0.59  % SZS status Theorem for theBenchmark
% 1.74/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.74/0.59  % (2292)------------------------------
% 1.74/0.59  % (2292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59  % (2292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59  % (2292)Termination reason: Refutation
% 1.74/0.59  
% 1.74/0.59  % (2292)Memory used [KB]: 5373
% 1.74/0.59  % (2292)Time elapsed: 0.003 s
% 1.74/0.59  % (2292)Instructions burned: 1 (million)
% 1.74/0.59  % (2292)------------------------------
% 1.74/0.59  % (2292)------------------------------
% 1.74/0.59  % (2281)Success in time 0.238 s
%------------------------------------------------------------------------------