TSTP Solution File: COL120-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL120-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : n022.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 15:52:56 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (  11 unt;   0 def)
%            Number of atoms       :   15 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-4 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,plain,
    $false,
    inference(subsumption_resolution,[],[f14,f7]) ).

fof(f7,plain,
    c_in(sF0,sF1,sF2),
    inference(definition_folding,[],[f1,f6,f5,f4]) ).

fof(f4,plain,
    c_Pair(v_y,v_x,t_a,t_a) = sF0,
    introduced(function_definition,[]) ).

fof(f5,plain,
    c_Transitive__Closure_Ortrancl(v_r,t_a) = sF1,
    introduced(function_definition,[]) ).

fof(f6,plain,
    tc_prod(t_a,t_a) = sF2,
    introduced(function_definition,[]) ).

fof(f1,axiom,
    c_in(c_Pair(v_y,v_x,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f14,plain,
    ~ c_in(sF0,sF1,sF2),
    inference(forward_demodulation,[],[f13,f4]) ).

fof(f13,plain,
    ~ c_in(c_Pair(v_y,v_x,t_a,t_a),sF1,sF2),
    inference(resolution,[],[f8,f11]) ).

fof(f11,plain,
    ! [X0] : c_in(c_Pair(X0,X0,t_a,t_a),sF1,sF2),
    inference(forward_demodulation,[],[f9,f6]) ).

fof(f9,plain,
    ! [X0] : c_in(c_Pair(X0,X0,t_a,t_a),sF1,tc_prod(t_a,t_a)),
    inference(superposition,[],[f3,f5]) ).

fof(f3,axiom,
    ! [X2,X3,X1] : c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).

fof(f8,plain,
    ! [X0] :
      ( ~ c_in(c_Pair(v_x,X0,t_a,t_a),sF1,sF2)
      | ~ c_in(c_Pair(v_y,X0,t_a,t_a),sF1,sF2) ),
    inference(definition_folding,[],[f2,f6,f5,f6,f5]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ c_in(c_Pair(v_x,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COL120-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % 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 : n022.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 16:58:26 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (20829)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)
% 0.20/0.49  % (20845)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)
% 0.20/0.49  TRYING [1]
% 0.20/0.50  % (20827)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50  TRYING [2]
% 0.20/0.50  % (20827)First to succeed.
% 0.20/0.50  TRYING [3]
% 0.20/0.50  TRYING [4]
% 0.20/0.50  % (20836)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.50  TRYING [5]
% 0.20/0.51  TRYING [6]
% 0.20/0.51  % (20829)Instruction limit reached!
% 0.20/0.51  % (20829)------------------------------
% 0.20/0.51  % (20829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (20829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (20829)Termination reason: Unknown
% 0.20/0.51  % (20829)Termination phase: Finite model building constraint generation
% 0.20/0.51  
% 0.20/0.51  % (20829)Memory used [KB]: 8955
% 0.20/0.51  % (20829)Time elapsed: 0.120 s
% 0.20/0.51  % (20829)Instructions burned: 53 (million)
% 0.20/0.51  % (20829)------------------------------
% 0.20/0.51  % (20829)------------------------------
% 0.20/0.52  % (20836)Also succeeded, but the first one will report.
% 0.20/0.52  % (20827)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (20827)------------------------------
% 0.20/0.52  % (20827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (20827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (20827)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (20827)Memory used [KB]: 5373
% 0.20/0.52  % (20827)Time elapsed: 0.111 s
% 0.20/0.52  % (20827)Instructions burned: 2 (million)
% 0.20/0.52  % (20827)------------------------------
% 0.20/0.52  % (20827)------------------------------
% 0.20/0.52  % (20822)Success in time 0.172 s
%------------------------------------------------------------------------------