TSTP Solution File: ARI535_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI535_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 : n027.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 15:46:22 EDT 2022

% Result   : Theorem 1.34s 0.52s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :   10 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   38 (   0 atm;  10 fun;  20 num;   8 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    3 (   1   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :    8 (   4   !;   4   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_1,type,
    p: ( $int * $int * $int ) > $o ).

tff(f37,plain,
    $false,
    inference(evaluation,[],[f31]) ).

tff(f31,plain,
    $sum(2,2) != $product(2,2),
    inference(constrained_resolution,[],[f23,f22]) ).

tff(f22,plain,
    ! [X1: $int] : p(2,X1,$sum(2,X1)),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $int,X1: $int] :
      ( ~ p(X0,2,$product(X0,2))
      & p(2,X1,$sum(2,X1)) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int,X1: $int] :
        ( p(2,X1,$sum(2,X1))
       => p(X0,2,$product(X0,2)) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int,X1: $int] :
      ( p(2,X1,$sum(2,X1))
     => p(X0,2,$product(X0,2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).

tff(f23,plain,
    ! [X0: $int] : ~ p(X0,2,$product(X0,2)),
    inference(cnf_transformation,[],[f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI535=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
% 0.12/0.33  % Computer : n027.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 16:00:30 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (17765)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  % (17757)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 (3000ds/2Mi)
% 0.19/0.50  % (17750)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 (3000ds/2Mi)
% 0.19/0.50  % (17749)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)
% 0.19/0.50  % (17750)Instruction limit reached!
% 0.19/0.50  % (17750)------------------------------
% 0.19/0.50  % (17750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (17750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (17750)Termination reason: Unknown
% 0.19/0.50  % (17750)Termination phase: Equality resolution with deletion
% 0.19/0.50  
% 0.19/0.50  % (17750)Memory used [KB]: 895
% 0.19/0.50  % (17750)Time elapsed: 0.002 s
% 0.19/0.50  % (17750)Instructions burned: 2 (million)
% 0.19/0.50  % (17750)------------------------------
% 0.19/0.50  % (17750)------------------------------
% 0.19/0.50  % (17749)Instruction limit reached!
% 0.19/0.50  % (17749)------------------------------
% 0.19/0.50  % (17749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (17749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (17749)Termination reason: Unknown
% 0.19/0.50  % (17749)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (17749)Memory used [KB]: 5500
% 0.19/0.50  % (17749)Time elapsed: 0.105 s
% 0.19/0.50  % (17749)Instructions burned: 5 (million)
% 0.19/0.50  % (17749)------------------------------
% 0.19/0.50  % (17749)------------------------------
% 0.19/0.50  % (17765)Refutation not found, incomplete strategy% (17765)------------------------------
% 0.19/0.50  % (17765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (17765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (17765)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (17765)Memory used [KB]: 5373
% 0.19/0.51  % (17765)Time elapsed: 0.114 s
% 0.19/0.51  % (17765)Instructions burned: 1 (million)
% 0.19/0.51  % (17765)------------------------------
% 0.19/0.51  % (17765)------------------------------
% 0.19/0.51  % (17757)Refutation not found, incomplete strategy% (17757)------------------------------
% 0.19/0.51  % (17757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (17757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (17757)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (17757)Memory used [KB]: 5373
% 0.19/0.51  % (17757)Time elapsed: 0.115 s
% 0.19/0.51  % (17757)Instructions burned: 1 (million)
% 0.19/0.51  % (17757)------------------------------
% 0.19/0.51  % (17757)------------------------------
% 0.19/0.51  % (17744)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)
% 1.34/0.51  % (17760)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)
% 1.34/0.52  % (17742)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)
% 1.34/0.52  % (17740)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)
% 1.34/0.52  % (17745)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)
% 1.34/0.52  % (17751)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 1.34/0.52  % (17751)Refutation not found, incomplete strategy% (17751)------------------------------
% 1.34/0.52  % (17751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.52  % (17751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.52  % (17751)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.52  
% 1.34/0.52  % (17751)Memory used [KB]: 5373
% 1.34/0.52  % (17751)Time elapsed: 0.123 s
% 1.34/0.52  % (17751)------------------------------
% 1.34/0.52  % (17751)------------------------------
% 1.34/0.52  % (17747)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)
% 1.34/0.52  % (17747)Instruction limit reached!
% 1.34/0.52  % (17747)------------------------------
% 1.34/0.52  % (17747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.52  % (17747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.52  % (17747)Termination reason: Unknown
% 1.34/0.52  % (17747)Termination phase: Saturation
% 1.34/0.52  
% 1.34/0.52  % (17747)Memory used [KB]: 5373
% 1.34/0.52  % (17747)Time elapsed: 0.125 s
% 1.34/0.52  % (17747)Instructions burned: 2 (million)
% 1.34/0.52  % (17747)------------------------------
% 1.34/0.52  % (17747)------------------------------
% 1.34/0.52  % (17752)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)
% 1.34/0.52  % (17739)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)
% 1.34/0.52  % (17752)First to succeed.
% 1.34/0.52  % (17752)Refutation found. Thanks to Tanya!
% 1.34/0.52  % SZS status Theorem for theBenchmark
% 1.34/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.52  % (17752)------------------------------
% 1.34/0.52  % (17752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.52  % (17752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.52  % (17752)Termination reason: Refutation
% 1.34/0.52  
% 1.34/0.52  % (17752)Memory used [KB]: 5500
% 1.34/0.52  % (17752)Time elapsed: 0.086 s
% 1.34/0.52  % (17752)Instructions burned: 2 (million)
% 1.34/0.52  % (17752)------------------------------
% 1.34/0.52  % (17752)------------------------------
% 1.34/0.52  % (17737)Success in time 0.179 s
%------------------------------------------------------------------------------