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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n007.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 19:49:02 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (   6 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   45 (  27   ~;  18   |;   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   :   45 (  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f70,plain,
    $false,
    inference(resolution,[],[f61,f9]) ).

fof(f9,plain,
    ! [X2,X0,X1] : step(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
    inference(resolution,[],[f1,f3]) ).

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

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(f61,plain,
    ! [X2,X3] : ~ step(f(X2,f(X3,a)),f(f(X2,X3),a)),
    inference(resolution,[],[f44,f9]) ).

fof(f44,plain,
    ! [X8,X6,X7] :
      ( ~ step(f(X7,f(X8,a)),f(X6,X8))
      | ~ step(X6,f(X7,a)) ),
    inference(resolution,[],[f17,f9]) ).

fof(f17,plain,
    ! [X6,X7,X4,X5] :
      ( ~ step(f(X4,X5),f(X6,X7))
      | ~ step(X7,X5)
      | ~ step(X6,X4) ),
    inference(resolution,[],[f13,f5]) ).

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

fof(f13,plain,
    ! [X2,X3,X0,X1] :
      ( ~ step(f(X0,X1),X2)
      | ~ step(X2,f(X3,X1))
      | ~ step(X3,X0) ),
    inference(resolution,[],[f12,f4]) ).

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

fof(f12,plain,
    ! [X2,X0,X1] :
      ( ~ step(X2,X0)
      | ~ step(X0,X1)
      | ~ step(X1,X2) ),
    inference(resolution,[],[f11,f6]) ).

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

fof(f11,plain,
    ! [X2,X3,X0,X1] :
      ( ~ seq(zero,X1,X3)
      | ~ step(X2,X0)
      | ~ step(X3,X2)
      | ~ step(X0,X1) ),
    inference(resolution,[],[f10,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(f10,plain,
    ! [X2,X0,X1] :
      ( ~ seq(succ(zero),X1,X2)
      | ~ step(X0,X1)
      | ~ step(X2,X0) ),
    inference(resolution,[],[f8,f7]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ seq(succ(succ(zero)),X0,X1)
      | ~ step(X1,X0) ),
    inference(resolution,[],[f7,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_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.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   : Tue Aug 30 22:56:46 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.49  % (22168)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.49  % (22152)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.49  % (22152)Instruction limit reached!
% 0.21/0.49  % (22152)------------------------------
% 0.21/0.49  % (22152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (22152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (22152)Termination reason: Unknown
% 0.21/0.49  % (22152)Termination phase: Saturation
% 0.21/0.49  
% 0.21/0.49  % (22152)Memory used [KB]: 5756
% 0.21/0.49  % (22152)Time elapsed: 0.100 s
% 0.21/0.49  % (22152)Instructions burned: 3 (million)
% 0.21/0.49  % (22152)------------------------------
% 0.21/0.49  % (22152)------------------------------
% 0.21/0.50  % (22148)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.50  % (22160)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.50  % (22148)Refutation not found, incomplete strategy% (22148)------------------------------
% 0.21/0.50  % (22148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (22148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (22148)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50  
% 0.21/0.50  % (22148)Memory used [KB]: 5756
% 0.21/0.50  % (22148)Time elapsed: 0.097 s
% 0.21/0.50  % (22148)------------------------------
% 0.21/0.50  % (22148)------------------------------
% 0.21/0.50  % (22160)Refutation not found, incomplete strategy% (22160)------------------------------
% 0.21/0.50  % (22160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (22160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (22160)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50  
% 0.21/0.50  % (22160)Memory used [KB]: 5756
% 0.21/0.50  % (22160)Time elapsed: 0.108 s
% 0.21/0.50  % (22160)Instructions burned: 1 (million)
% 0.21/0.50  % (22160)------------------------------
% 0.21/0.50  % (22160)------------------------------
% 0.21/0.50  % (22168)First to succeed.
% 0.21/0.50  % (22168)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (22168)------------------------------
% 0.21/0.50  % (22168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (22168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (22168)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (22168)Memory used [KB]: 5884
% 0.21/0.50  % (22168)Time elapsed: 0.104 s
% 0.21/0.50  % (22168)Instructions burned: 5 (million)
% 0.21/0.50  % (22168)------------------------------
% 0.21/0.50  % (22168)------------------------------
% 0.21/0.50  % (22143)Success in time 0.152 s
%------------------------------------------------------------------------------