TSTP Solution File: DAT001_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : DAT001_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_sat --cores 0 -t %d %s

% Computer : n024.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 16:04:35 EDT 2022

% Result   : Theorem 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (  11 unt;   4 typ;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  23   ~;  12   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number arithmetic     :   69 (   9 atm;   0 fun;  48 num;  12 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   2 usr;   6 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    list: $tType ).

tff(func_def_0,type,
    nil: list ).

tff(func_def_1,type,
    mycons: ( $int * list ) > list ).

tff(pred_def_1,type,
    sorted: list > $o ).

tff(f149,plain,
    $false,
    inference(subsumption_resolution,[],[f148,f24]) ).

tff(f24,plain,
    ! [X0: $int] : sorted(mycons(X0,nil)),
    inference(cnf_transformation,[],[f2]) ).

tff(f2,axiom,
    ! [X0: $int] : sorted(mycons(X0,nil)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_is_sorted) ).

tff(f148,plain,
    ~ sorted(mycons(100,nil)),
    inference(evaluation,[],[f147]) ).

tff(f147,plain,
    ( ~ sorted(mycons(100,nil))
    | ~ $less(7,100) ),
    inference(resolution,[],[f146,f22]) ).

tff(f22,plain,
    ! [X2: $int,X0: list,X1: $int] :
      ( sorted(mycons(X1,mycons(X2,X0)))
      | ~ sorted(mycons(X2,X0))
      | ~ $less(X1,X2) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: list,X1: $int,X2: $int] :
      ( ~ sorted(mycons(X2,X0))
      | sorted(mycons(X1,mycons(X2,X0)))
      | ~ $less(X1,X2) ),
    inference(rectify,[],[f20]) ).

tff(f20,plain,
    ! [X2: list,X0: $int,X1: $int] :
      ( ~ sorted(mycons(X1,X2))
      | sorted(mycons(X0,mycons(X1,X2)))
      | ~ $less(X0,X1) ),
    inference(flattening,[],[f19]) ).

tff(f19,plain,
    ! [X2: list,X1: $int,X0: $int] :
      ( sorted(mycons(X0,mycons(X1,X2)))
      | ~ sorted(mycons(X1,X2))
      | ~ $less(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,axiom,
    ! [X2: list,X1: $int,X0: $int] :
      ( ( sorted(mycons(X1,X2))
        & $less(X0,X1) )
     => sorted(mycons(X0,mycons(X1,X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',recursive_sort) ).

tff(f146,plain,
    ~ sorted(mycons(7,mycons(100,nil))),
    inference(evaluation,[],[f145]) ).

tff(f145,plain,
    ( ~ $less(4,7)
    | ~ sorted(mycons(7,mycons(100,nil))) ),
    inference(resolution,[],[f144,f22]) ).

tff(f144,plain,
    ~ sorted(mycons(4,mycons(7,mycons(100,nil)))),
    inference(evaluation,[],[f143]) ).

tff(f143,plain,
    ( ~ $less(2,4)
    | ~ sorted(mycons(4,mycons(7,mycons(100,nil)))) ),
    inference(resolution,[],[f142,f22]) ).

tff(f142,plain,
    ~ sorted(mycons(2,mycons(4,mycons(7,mycons(100,nil))))),
    inference(evaluation,[],[f141]) ).

tff(f141,plain,
    ( ~ $less(1,2)
    | ~ sorted(mycons(2,mycons(4,mycons(7,mycons(100,nil))))) ),
    inference(resolution,[],[f22,f23]) ).

tff(f23,plain,
    ~ sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    ~ sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
    inference(flattening,[],[f5]) ).

tff(f5,negated_conjecture,
    ~ sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
    inference(negated_conjecture,[],[f4]) ).

tff(f4,conjecture,
    sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',check_list) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : DAT001=1 : TPTP v8.1.0. Released v5.0.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 20:17:49 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.50  % (24839)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.21/0.50  % (24854)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.21/0.51  % (24846)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.21/0.51  % (24849)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.51  % (24839)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.51  % (24839)Terminated due to inappropriate strategy.
% 0.21/0.51  % (24839)------------------------------
% 0.21/0.51  % (24839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (24839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (24839)Termination reason: Inappropriate
% 0.21/0.51  
% 0.21/0.51  % (24839)Memory used [KB]: 895
% 0.21/0.51  % (24839)Time elapsed: 0.003 s
% 0.21/0.51  % (24839)Instructions burned: 1 (million)
% 0.21/0.51  % (24839)------------------------------
% 0.21/0.51  % (24839)------------------------------
% 0.21/0.51  % (24861)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.21/0.51  % (24847)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.52  % (24840)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.52  % (24846)Instruction limit reached!
% 0.21/0.52  % (24846)------------------------------
% 0.21/0.52  % (24846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (24853)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.21/0.52  % (24846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (24846)Termination reason: Unknown
% 0.21/0.52  % (24846)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (24846)Memory used [KB]: 5500
% 0.21/0.52  % (24846)Time elapsed: 0.115 s
% 0.21/0.52  % (24846)Instructions burned: 7 (million)
% 0.21/0.52  % (24846)------------------------------
% 0.21/0.52  % (24846)------------------------------
% 0.21/0.52  % (24863)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.21/0.52  % (24847)Instruction limit reached!
% 0.21/0.52  % (24847)------------------------------
% 0.21/0.52  % (24847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (24847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (24847)Termination reason: Unknown
% 0.21/0.52  % (24847)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (24847)Memory used [KB]: 5373
% 0.21/0.52  % (24847)Time elapsed: 0.108 s
% 0.21/0.52  % (24847)Instructions burned: 2 (million)
% 0.21/0.52  % (24847)------------------------------
% 0.21/0.52  % (24847)------------------------------
% 0.21/0.52  % (24856)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.21/0.52  % (24856)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.52  % (24856)Terminated due to inappropriate strategy.
% 0.21/0.52  % (24856)------------------------------
% 0.21/0.52  % (24856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (24856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (24856)Termination reason: Inappropriate
% 0.21/0.52  
% 0.21/0.52  % (24856)Memory used [KB]: 895
% 0.21/0.52  % (24856)Time elapsed: 0.001 s
% 0.21/0.52  % (24856)------------------------------
% 0.21/0.52  % (24856)------------------------------
% 0.21/0.52  % (24855)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.52  % (24841)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.21/0.53  % (24844)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.21/0.53  % (24843)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53  % (24842)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53  % (24852)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.53  % (24850)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.21/0.53  % (24851)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.21/0.53  % (24848)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53  % (24845)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53  % (24845)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.53  % (24845)Terminated due to inappropriate strategy.
% 0.21/0.53  % (24845)------------------------------
% 0.21/0.53  % (24845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (24845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (24845)Termination reason: Inappropriate
% 0.21/0.53  
% 0.21/0.53  % (24845)Memory used [KB]: 895
% 0.21/0.53  % (24845)Time elapsed: 0.001 s
% 0.21/0.53  % (24845)------------------------------
% 0.21/0.53  % (24845)------------------------------
% 0.21/0.54  % (24861)First to succeed.
% 0.21/0.54  % (24861)Refutation found. Thanks to Tanya!
% 0.21/0.54  % SZS status Theorem for theBenchmark
% 0.21/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54  % (24861)------------------------------
% 0.21/0.54  % (24861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (24861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (24861)Termination reason: Refutation
% 0.21/0.54  
% 0.21/0.54  % (24861)Memory used [KB]: 1023
% 0.21/0.54  % (24861)Time elapsed: 0.091 s
% 0.21/0.54  % (24861)Instructions burned: 5 (million)
% 0.21/0.54  % (24861)------------------------------
% 0.21/0.54  % (24861)------------------------------
% 0.21/0.54  % (24838)Success in time 0.184 s
%------------------------------------------------------------------------------