TSTP Solution File: LCL858-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL858-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n010.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 17:50:13 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-3 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f238,plain,
    $false,
    inference(subsumption_resolution,[],[f237,f189]) ).

fof(f189,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_t)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f237,plain,
    ~ hBOOL(hAPP(c_InductTermi_OIT,v_t)),
    inference(subsumption_resolution,[],[f236,f208]) ).

fof(f208,plain,
    ~ hBOOL(sF2),
    inference(definition_folding,[],[f190,f207,f206,f205]) ).

fof(f205,plain,
    c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB) = sF0,
    introduced(function_definition,[]) ).

fof(f206,plain,
    sF1 = c_Wellfounded_Oaccp(sF0,tc_Lambda_OdB),
    introduced(function_definition,[]) ).

fof(f207,plain,
    sF2 = hAPP(sF1,v_t),
    introduced(function_definition,[]) ).

fof(f190,axiom,
    ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f236,plain,
    ( hBOOL(sF2)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,v_t)) ),
    inference(superposition,[],[f218,f207]) ).

fof(f218,plain,
    ! [X13] :
      ( hBOOL(hAPP(sF1,X13))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X13)) ),
    inference(backward_demodulation,[],[f212,f206]) ).

fof(f212,plain,
    ! [X13] :
      ( hBOOL(hAPP(c_Wellfounded_Oaccp(sF0,tc_Lambda_OdB),X13))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X13)) ),
    inference(backward_demodulation,[],[f158,f205]) ).

fof(f158,axiom,
    ! [X13] :
      ( ~ hBOOL(hAPP(c_InductTermi_OIT,X13))
      | hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X13)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IT__implies__termi_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL858-1 : TPTP v8.1.0. Released v4.1.0.
% 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
% 0.13/0.34  % Computer : n010.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 02:44:29 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (14948)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 (2999ds/75Mi)
% 0.19/0.49  % (14940)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49  % (14940)Instruction limit reached!
% 0.19/0.49  % (14940)------------------------------
% 0.19/0.49  % (14940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (14940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (14940)Termination reason: Unknown
% 0.19/0.49  % (14940)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (14940)Memory used [KB]: 5628
% 0.19/0.49  % (14940)Time elapsed: 0.008 s
% 0.19/0.49  % (14940)Instructions burned: 8 (million)
% 0.19/0.49  % (14940)------------------------------
% 0.19/0.49  % (14940)------------------------------
% 0.19/0.51  % (14948)First to succeed.
% 0.19/0.51  % (14948)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (14948)------------------------------
% 0.19/0.51  % (14948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (14948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (14948)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (14948)Memory used [KB]: 1407
% 0.19/0.51  % (14948)Time elapsed: 0.091 s
% 0.19/0.51  % (14948)Instructions burned: 20 (million)
% 0.19/0.51  % (14948)------------------------------
% 0.19/0.51  % (14948)------------------------------
% 0.19/0.51  % (14932)Success in time 0.168 s
%------------------------------------------------------------------------------