TSTP Solution File: ARI342_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI342_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 : n004.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 15:45:54 EDT 2022

% Result   : Theorem 1.44s 0.53s
% Output   : Refutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   25 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   4   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   88 (  14 atm;  31 fun;  22 num;  21 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    :    4 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :   21 (  19   !;   2   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f343,plain,
    $false,
    inference(evaluation,[],[f342]) ).

tff(f342,plain,
    ( ( -13/2 = $sum(-13/2,-13/2) )
    | $less(0/1,-13/2) ),
    inference(superposition,[],[f227,f7]) ).

tff(f7,plain,
    ! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_145,[]) ).

tff(f227,plain,
    ! [X3: $rat] :
      ( $less($sum(-13/2,$uminus(X3)),X3)
      | ( -13/2 = $sum(X3,X3) ) ),
    inference(forward_demodulation,[],[f208,f5]) ).

tff(f5,plain,
    ! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f208,plain,
    ! [X3: $rat] :
      ( ( -13/2 = $sum(X3,X3) )
      | $less($sum(-13/2,$uminus(X3)),$sum(X3,0/1)) ),
    inference(superposition,[],[f89,f7]) ).

tff(f89,plain,
    ! [X0: $rat,X1: $rat] :
      ( $less($sum(-13/2,X1),$sum(X0,$sum(X0,X1)))
      | ( $sum(X0,X0) = -13/2 ) ),
    inference(forward_demodulation,[],[f84,f4]) ).

tff(f4,plain,
    ! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_141,[]) ).

tff(f84,plain,
    ! [X0: $rat,X1: $rat] :
      ( ( $sum(X0,X0) = -13/2 )
      | $less($sum(-13/2,X1),$sum($sum(X0,X0),X1)) ),
    inference(resolution,[],[f16,f11]) ).

tff(f11,plain,
    ! [X2: $rat,X0: $rat,X1: $rat] :
      ( ~ $less(X0,X1)
      | $less($sum(X0,X2),$sum(X1,X2)) ),
    introduced(theory_axiom_150,[]) ).

tff(f16,plain,
    ! [X0: $rat] :
      ( $less(-13/2,$sum(X0,X0))
      | ( $sum(X0,X0) = -13/2 ) ),
    inference(resolution,[],[f15,f10]) ).

tff(f10,plain,
    ! [X0: $rat,X1: $rat] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_149,[]) ).

tff(f15,plain,
    ! [X0: $rat] : ~ $less($sum(X0,X0),-13/2),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $rat] : ~ $less($sum(X0,X0),-13/2),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : $less($sum(X0,X0),-13/2),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : $less($sum(X0,X0),-13/2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_combined_problem_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI342=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13  % 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 : n004.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 15:31:34 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (32517)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 (3000ds/2Mi)
% 0.19/0.49  % (32517)Instruction limit reached!
% 0.19/0.49  % (32517)------------------------------
% 0.19/0.49  % (32517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (32517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (32517)Termination reason: Unknown
% 0.19/0.49  % (32517)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (32517)Memory used [KB]: 895
% 0.19/0.49  % (32517)Time elapsed: 0.002 s
% 0.19/0.49  % (32517)Instructions burned: 2 (million)
% 0.19/0.49  % (32517)------------------------------
% 0.19/0.49  % (32517)------------------------------
% 0.19/0.49  % (32525)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/35Mi)
% 0.19/0.49  % (32536)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.19/0.49  % (32526)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)
% 0.19/0.49  % (32536)Refutation not found, incomplete strategy% (32536)------------------------------
% 0.19/0.49  % (32536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (32536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (32536)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49  
% 0.19/0.49  % (32536)Memory used [KB]: 5373
% 0.19/0.49  % (32536)Time elapsed: 0.111 s
% 0.19/0.49  % (32536)------------------------------
% 0.19/0.49  % (32536)------------------------------
% 0.19/0.50  % (32528)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.19/0.50  % (32528)Refutation not found, incomplete strategy% (32528)------------------------------
% 0.19/0.50  % (32528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (32528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (32528)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (32528)Memory used [KB]: 5373
% 0.19/0.50  % (32528)Time elapsed: 0.109 s
% 0.19/0.50  % (32528)Instructions burned: 1 (million)
% 0.19/0.50  % (32528)------------------------------
% 0.19/0.50  % (32528)------------------------------
% 0.19/0.50  % (32541)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/43Mi)
% 0.19/0.50  % (32522)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)
% 0.19/0.50  % (32521)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)
% 0.19/0.50  % (32523)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 (3000ds/2Mi)
% 0.19/0.50  % (32530)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)
% 0.19/0.50  % (32538)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)
% 1.33/0.51  % (32530)Instruction limit reached!
% 1.33/0.51  % (32530)------------------------------
% 1.33/0.51  % (32530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.51  % (32530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.51  % (32530)Termination reason: Unknown
% 1.33/0.51  % (32530)Termination phase: Saturation
% 1.33/0.51  
% 1.33/0.51  % (32530)Memory used [KB]: 5373
% 1.33/0.51  % (32530)Time elapsed: 0.127 s
% 1.33/0.51  % (32530)Instructions burned: 2 (million)
% 1.33/0.51  % (32530)------------------------------
% 1.33/0.51  % (32530)------------------------------
% 1.33/0.51  % (32518)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 (3000ds/37Mi)
% 1.33/0.51  % (32529)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)
% 1.33/0.52  % (32526)Instruction limit reached!
% 1.33/0.52  % (32526)------------------------------
% 1.33/0.52  % (32526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.52  % (32526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.52  % (32526)Termination reason: Unknown
% 1.33/0.52  % (32526)Termination phase: Saturation
% 1.33/0.52  
% 1.33/0.52  % (32526)Memory used [KB]: 5500
% 1.33/0.52  % (32526)Time elapsed: 0.128 s
% 1.33/0.52  % (32526)Instructions burned: 5 (million)
% 1.33/0.52  % (32526)------------------------------
% 1.33/0.52  % (32526)------------------------------
% 1.33/0.52  % (32514)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)
% 1.33/0.52  % (32515)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 (3000ds/34Mi)
% 1.33/0.52  % (32516)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 (3000ds/8Mi)
% 1.33/0.52  % (32535)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 1.33/0.52  % (32519)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 1.33/0.52  % (32520)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)
% 1.33/0.53  % (32523)Instruction limit reached!
% 1.33/0.53  % (32523)------------------------------
% 1.33/0.53  % (32523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (32523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (32523)Termination reason: Unknown
% 1.33/0.53  % (32523)Termination phase: Saturation
% 1.33/0.53  
% 1.33/0.53  % (32523)Memory used [KB]: 5373
% 1.33/0.53  % (32523)Time elapsed: 0.138 s
% 1.33/0.53  % (32523)Instructions burned: 2 (million)
% 1.33/0.53  % (32523)------------------------------
% 1.33/0.53  % (32523)------------------------------
% 1.33/0.53  % (32537)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)
% 1.33/0.53  % (32538)First to succeed.
% 1.33/0.53  % (32525)Instruction limit reached!
% 1.33/0.53  % (32525)------------------------------
% 1.33/0.53  % (32525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (32525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (32525)Termination reason: Unknown
% 1.33/0.53  % (32525)Termination phase: Saturation
% 1.33/0.53  
% 1.33/0.53  % (32525)Memory used [KB]: 5500
% 1.33/0.53  % (32525)Time elapsed: 0.119 s
% 1.33/0.53  % (32525)Instructions burned: 35 (million)
% 1.33/0.53  % (32525)------------------------------
% 1.33/0.53  % (32525)------------------------------
% 1.44/0.53  % (32538)Refutation found. Thanks to Tanya!
% 1.44/0.53  % SZS status Theorem for theBenchmark
% 1.44/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.53  % (32538)------------------------------
% 1.44/0.53  % (32538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.53  % (32538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.53  % (32538)Termination reason: Refutation
% 1.44/0.53  
% 1.44/0.53  % (32538)Memory used [KB]: 5628
% 1.44/0.53  % (32538)Time elapsed: 0.135 s
% 1.44/0.53  % (32538)Instructions burned: 21 (million)
% 1.44/0.53  % (32538)------------------------------
% 1.44/0.53  % (32538)------------------------------
% 1.44/0.53  % (32513)Success in time 0.181 s
%------------------------------------------------------------------------------