TSTP Solution File: SYO691-1.000 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0.
% 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 : n012.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 19:52:02 EDT 2022

% Result   : Unsatisfiable 1.42s 0.54s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (   9 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   56 (  33   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,plain,
    $false,
    inference(resolution,[],[f51,f16]) ).

fof(f16,plain,
    ! [X2,X0,X1] : step(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
    inference(resolution,[],[f13,f9]) ).

fof(f9,plain,
    ! [X2,X1] :
      ( ~ top(X2,X1)
      | step(X2,X1) ),
    inference(literal_reordering,[],[f3]) ).

fof(f3,axiom,
    ! [X2,X1] :
      ( step(X2,X1)
      | ~ top(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_top) ).

fof(f13,plain,
    ! [X2,X0,X1] : top(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
    inference(literal_reordering,[],[f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : top(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).

fof(f51,plain,
    ! [X2,X3] : ~ step(f(X2,f(X3,a)),f(f(X2,X3),a)),
    inference(resolution,[],[f37,f16]) ).

fof(f37,plain,
    ! [X8,X6,X7] :
      ( ~ step(f(X6,f(X7,a)),f(X8,X7))
      | ~ step(X8,f(X6,a)) ),
    inference(resolution,[],[f24,f16]) ).

fof(f24,plain,
    ! [X6,X7,X4,X5] :
      ( ~ step(f(X5,X6),f(X4,X7))
      | ~ step(X4,X5)
      | ~ step(X7,X6) ),
    inference(resolution,[],[f20,f14]) ).

fof(f14,plain,
    ! [X2,X0,X1] :
      ( step(f(X2,X1),f(X2,X0))
      | ~ step(X1,X0) ),
    inference(literal_reordering,[],[f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ step(X1,X0)
      | step(f(X2,X1),f(X2,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_right) ).

fof(f20,plain,
    ! [X2,X3,X0,X1] :
      ( ~ step(f(X3,X2),X0)
      | ~ step(X1,X3)
      | ~ step(X0,f(X1,X2)) ),
    inference(resolution,[],[f19,f8]) ).

fof(f8,plain,
    ! [X2,X0,X1] :
      ( step(f(X2,X0),f(X1,X0))
      | ~ step(X2,X1) ),
    inference(literal_reordering,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ step(X2,X1)
      | step(f(X2,X0),f(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_left) ).

fof(f19,plain,
    ! [X2,X0,X1] :
      ( ~ step(X2,X0)
      | ~ step(X1,X2)
      | ~ step(X0,X1) ),
    inference(resolution,[],[f18,f11]) ).

fof(f11,plain,
    ! [X2] : seq(zero,X2,X2),
    inference(literal_reordering,[],[f6]) ).

fof(f6,axiom,
    ! [X2] : seq(zero,X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_sequence_zero) ).

fof(f18,plain,
    ! [X2,X3,X0,X1] :
      ( ~ seq(zero,X2,X3)
      | ~ step(X3,X0)
      | ~ step(X0,X1)
      | ~ step(X1,X2) ),
    inference(resolution,[],[f17,f12]) ).

fof(f12,plain,
    ! [X2,X3,X0,X1] :
      ( seq(succ(X3),X2,X0)
      | ~ seq(X3,X2,X1)
      | ~ step(X1,X0) ),
    inference(literal_reordering,[],[f7]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( seq(succ(X3),X2,X0)
      | ~ seq(X3,X2,X1)
      | ~ step(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_sequence_succ) ).

fof(f17,plain,
    ! [X2,X0,X1] :
      ( ~ seq(succ(zero),X1,X2)
      | ~ step(X2,X0)
      | ~ step(X0,X1) ),
    inference(resolution,[],[f15,f12]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ seq(succ(succ(zero)),X0,X1)
      | ~ step(X1,X0) ),
    inference(resolution,[],[f12,f10]) ).

fof(f10,plain,
    ! [X2] : ~ seq(succ(succ(succ(zero))),X2,X2),
    inference(literal_reordering,[],[f2]) ).

fof(f2,axiom,
    ! [X2] : ~ seq(succ(succ(succ(zero))),X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 23:11:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  % (24102)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.21/0.51  % (24097)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.51  % (24094)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  % (24085)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)
% 0.21/0.51  % (24110)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  % (24098)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  % (24110)First to succeed.
% 0.21/0.52  % (24107)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.21/0.53  % (24092)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.53  % (24099)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)
% 0.21/0.53  % (24090)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  % (24111)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.21/0.53  % (24086)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  % (24087)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  % (24084)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)
% 0.21/0.53  % (24085)Refutation not found, incomplete strategy% (24085)------------------------------
% 0.21/0.53  % (24085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (24085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (24085)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (24085)Memory used [KB]: 5373
% 0.21/0.53  % (24112)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.21/0.53  % (24085)Time elapsed: 0.126 s
% 0.21/0.53  % (24085)Instructions burned: 1 (million)
% 0.21/0.53  % (24085)------------------------------
% 0.21/0.53  % (24085)------------------------------
% 0.21/0.53  % (24108)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.21/0.53  TRYING [1]
% 1.42/0.53  TRYING [1]
% 1.42/0.53  % (24109)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.42/0.53  TRYING [2]
% 1.42/0.53  % (24100)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)
% 1.42/0.53  TRYING [3]
% 1.42/0.53  TRYING [2]
% 1.42/0.54  TRYING [3]
% 1.42/0.54  % (24101)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.42/0.54  % (24093)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)
% 1.42/0.54  % (24089)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)
% 1.42/0.54  % (24103)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.42/0.54  TRYING [4]
% 1.42/0.54  % (24113)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 1.42/0.54  TRYING [1]
% 1.42/0.54  TRYING [2]
% 1.42/0.54  % (24106)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)
% 1.42/0.54  % (24095)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)
% 1.42/0.54  % (24105)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.42/0.54  TRYING [3]
% 1.42/0.54  % (24110)Refutation found. Thanks to Tanya!
% 1.42/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.42/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.54  % (24110)------------------------------
% 1.42/0.54  % (24110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54  % (24110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (24110)Termination reason: Refutation
% 1.42/0.54  
% 1.42/0.54  % (24110)Memory used [KB]: 5756
% 1.42/0.54  % (24110)Time elapsed: 0.006 s
% 1.42/0.54  % (24110)Instructions burned: 6 (million)
% 1.42/0.54  % (24110)------------------------------
% 1.42/0.54  % (24110)------------------------------
% 1.42/0.54  % (24083)Success in time 0.189 s
%------------------------------------------------------------------------------