TSTP Solution File: SYN075-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN075-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n023.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 19:25:27 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   5 unt;   0 def)
%            Number of atoms       :   44 (  27 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   45 (  22   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f44,plain,
    $false,
    inference(resolution,[],[f43,f16]) ).

fof(f16,plain,
    big_f(a,b),
    inference(equality_resolution,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( big_f(X0,b)
      | a != X0 ),
    inference(equality_resolution,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( big_f(X0,X1)
      | b != X1
      | a != X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f43,plain,
    ! [X2] : ~ big_f(a,X2),
    inference(trivial_inequality_removal,[],[f40]) ).

fof(f40,plain,
    ! [X2] :
      ( ~ big_f(a,X2)
      | a != a ),
    inference(superposition,[],[f24,f34]) ).

fof(f34,plain,
    ! [X0] : a = h(X0,a),
    inference(equality_resolution,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( a != X1
      | a = h(X0,X1) ),
    inference(equality_factoring,[],[f26]) ).

fof(f26,plain,
    ! [X2,X3] :
      ( h(X2,X3) = X3
      | a = h(X2,X3) ),
    inference(resolution,[],[f22,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0,X1)
      | a = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f22,plain,
    ! [X2,X0] :
      ( big_f(h(X0,X2),X0)
      | h(X0,X2) = X2 ),
    inference(subsumption_resolution,[],[f18,f17]) ).

fof(f17,plain,
    ! [X0] : f(X0) = X0,
    inference(subsumption_resolution,[],[f13,f14]) ).

fof(f14,plain,
    ! [X0] :
      ( big_f(g(X0),f(X0))
      | f(X0) = X0 ),
    inference(equality_resolution,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( g(X0) != X1
      | big_f(X1,f(X0))
      | f(X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

fof(f13,plain,
    ! [X0] :
      ( f(X0) = X0
      | ~ big_f(g(X0),f(X0)) ),
    inference(equality_resolution,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( g(X0) != X1
      | f(X0) = X0
      | ~ big_f(X1,f(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f18,plain,
    ! [X2,X0] :
      ( f(X0) != X0
      | big_f(h(X0,X2),X0)
      | h(X0,X2) = X2 ),
    inference(backward_demodulation,[],[f9,f17]) ).

fof(f9,axiom,
    ! [X2,X0] :
      ( h(X0,X2) = X2
      | big_f(h(X0,X2),f(X0))
      | f(X0) != X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).

fof(f24,plain,
    ! [X2,X0] :
      ( h(X0,X2) != X2
      | ~ big_f(h(X0,X2),X0) ),
    inference(subsumption_resolution,[],[f19,f17]) ).

fof(f19,plain,
    ! [X2,X0] :
      ( f(X0) != X0
      | h(X0,X2) != X2
      | ~ big_f(h(X0,X2),X0) ),
    inference(backward_demodulation,[],[f10,f17]) ).

fof(f10,axiom,
    ! [X2,X0] :
      ( h(X0,X2) != X2
      | ~ big_f(h(X0,X2),f(X0))
      | f(X0) != X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN075-1 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:49:34 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.50  % (32301)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50  % (32329)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.50  % (32308)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (32316)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50  % (32303)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.50  TRYING [1]
% 0.19/0.50  TRYING [2]
% 0.19/0.50  TRYING [3]
% 0.19/0.51  % (32316)Instruction limit reached!
% 0.19/0.51  % (32316)------------------------------
% 0.19/0.51  % (32316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (32308)First to succeed.
% 0.19/0.51  % (32316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (32316)Termination reason: Unknown
% 0.19/0.51  % (32316)Termination phase: Finite model building SAT solving
% 0.19/0.51  
% 0.19/0.51  % (32316)Memory used [KB]: 5884
% 0.19/0.51  % (32316)Time elapsed: 0.115 s
% 0.19/0.51  % (32316)Instructions burned: 7 (million)
% 0.19/0.51  % (32316)------------------------------
% 0.19/0.51  % (32316)------------------------------
% 0.19/0.51  % (32313)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.51  % (32305)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)
% 0.19/0.51  % (32305)Refutation not found, incomplete strategy% (32305)------------------------------
% 0.19/0.51  % (32305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (32305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (32305)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (32305)Memory used [KB]: 5756
% 0.19/0.51  % (32305)Time elapsed: 0.115 s
% 0.19/0.51  % (32305)Instructions burned: 1 (million)
% 0.19/0.51  % (32305)------------------------------
% 0.19/0.51  % (32305)------------------------------
% 0.19/0.51  % (32308)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  % (32308)------------------------------
% 0.19/0.51  % (32308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (32308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (32308)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (32308)Memory used [KB]: 5756
% 0.19/0.51  % (32308)Time elapsed: 0.114 s
% 0.19/0.51  % (32308)Instructions burned: 2 (million)
% 0.19/0.51  % (32308)------------------------------
% 0.19/0.51  % (32308)------------------------------
% 0.19/0.51  % (32300)Success in time 0.167 s
%------------------------------------------------------------------------------