TSTP Solution File: ANA016-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ANA016-2 : 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_uns --cores 0 -t %d %s

% Computer : n006.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 15:44:34 EDT 2022

% Result   : Unsatisfiable 0.14s 0.48s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   9 unt;   0 def)
%            Number of atoms       :   28 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  10   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f44,plain,
    $false,
    inference(unit_resulting_resolution,[],[f12,f40,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( c_times(c_1,X1,X0) = X1
      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).

fof(f40,plain,
    v_g(v_x) != c_times(c_1,v_g(v_x),t_a),
    inference(subsumption_resolution,[],[f35,f1]) ).

fof(f1,axiom,
    v_c != c_0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f35,plain,
    ( v_c = c_0
    | v_g(v_x) != c_times(c_1,v_g(v_x),t_a) ),
    inference(superposition,[],[f2,f23]) ).

fof(f23,plain,
    ! [X2,X3] :
      ( c_times(c_1,X3,t_a) = c_times(X2,c_times(c_HOL_Oinverse(X2,t_a),X3,t_a),t_a)
      | c_0 = X2 ),
    inference(superposition,[],[f21,f13]) ).

fof(f13,plain,
    ! [X0] :
      ( c_1 = c_times(X0,c_HOL_Oinverse(X0,t_a),t_a)
      | c_0 = X0 ),
    inference(resolution,[],[f6,f10]) ).

fof(f10,plain,
    class_Ring__and__Field_Ofield(t_a),
    inference(resolution,[],[f9,f3]) ).

fof(f3,axiom,
    class_Ring__and__Field_Oordered__field(t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

fof(f9,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | class_Ring__and__Field_Ofield(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).

fof(f6,axiom,
    ! [X2,X0] :
      ( ~ class_Ring__and__Field_Ofield(X0)
      | c_1 = c_times(X2,c_HOL_Oinverse(X2,X0),X0)
      | c_0 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oright__inverse_0) ).

fof(f21,plain,
    ! [X2,X0,X1] : c_times(c_times(X0,X1,t_a),X2,t_a) = c_times(X0,c_times(X1,X2,t_a),t_a),
    inference(resolution,[],[f5,f11]) ).

fof(f11,plain,
    class_OrderedGroup_Osemigroup__mult(t_a),
    inference(resolution,[],[f10,f8]) ).

fof(f8,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | class_OrderedGroup_Osemigroup__mult(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).

fof(f5,axiom,
    ! [X2,X3,X0,X4] :
      ( ~ class_OrderedGroup_Osemigroup__mult(X0)
      | c_times(c_times(X2,X3,X0),X4,X0) = c_times(X2,c_times(X3,X4,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).

fof(f2,axiom,
    v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f12,plain,
    class_OrderedGroup_Omonoid__mult(t_a),
    inference(resolution,[],[f10,f7]) ).

fof(f7,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | class_OrderedGroup_Omonoid__mult(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : ANA016-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30  % Computer : n006.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon Aug 29 15:11:25 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.14/0.45  % (20209)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)
% 0.14/0.45  % (20201)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)
% 0.14/0.45  % (20200)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.14/0.46  % (20217)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.46  TRYING [1]
% 0.14/0.46  TRYING [2]
% 0.14/0.46  TRYING [3]
% 0.14/0.46  % (20208)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.14/0.46  % (20209)Instruction limit reached!
% 0.14/0.46  % (20209)------------------------------
% 0.14/0.46  % (20209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47  % (20201)Refutation not found, incomplete strategy% (20201)------------------------------
% 0.14/0.47  % (20201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47  % (20209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47  % (20209)Termination reason: Unknown
% 0.14/0.47  % (20209)Termination phase: Finite model building constraint generation
% 0.14/0.47  
% 0.14/0.47  % (20209)Memory used [KB]: 6012
% 0.14/0.47  % (20209)Time elapsed: 0.105 s
% 0.14/0.47  % (20209)Instructions burned: 6 (million)
% 0.14/0.47  % (20209)------------------------------
% 0.14/0.47  % (20209)------------------------------
% 0.14/0.47  % (20201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47  % (20201)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.47  
% 0.14/0.47  % (20201)Memory used [KB]: 5756
% 0.14/0.47  % (20201)Time elapsed: 0.103 s
% 0.14/0.47  % (20201)Instructions burned: 1 (million)
% 0.14/0.47  % (20201)------------------------------
% 0.14/0.47  % (20201)------------------------------
% 0.14/0.47  % (20210)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)
% 0.14/0.47  % (20208)First to succeed.
% 0.14/0.47  % (20210)Instruction limit reached!
% 0.14/0.47  % (20210)------------------------------
% 0.14/0.47  % (20210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47  % (20210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47  % (20210)Termination reason: Unknown
% 0.14/0.47  % (20210)Termination phase: Saturation
% 0.14/0.47  
% 0.14/0.47  % (20210)Memory used [KB]: 1279
% 0.14/0.47  % (20210)Time elapsed: 0.002 s
% 0.14/0.47  % (20210)Instructions burned: 2 (million)
% 0.14/0.47  % (20210)------------------------------
% 0.14/0.47  % (20210)------------------------------
% 0.14/0.47  % (20217)Refutation not found, incomplete strategy% (20217)------------------------------
% 0.14/0.47  % (20217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47  % (20217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47  % (20217)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.47  
% 0.14/0.47  % (20217)Memory used [KB]: 5756
% 0.14/0.47  % (20217)Time elapsed: 0.115 s
% 0.14/0.47  % (20217)Instructions burned: 1 (million)
% 0.14/0.47  % (20217)------------------------------
% 0.14/0.47  % (20217)------------------------------
% 0.14/0.47  % (20202)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)
% 0.14/0.47  % (20202)Instruction limit reached!
% 0.14/0.47  % (20202)------------------------------
% 0.14/0.47  % (20202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47  % (20202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47  % (20202)Termination reason: Unknown
% 0.14/0.47  % (20202)Termination phase: Saturation
% 0.14/0.47  
% 0.14/0.47  % (20202)Memory used [KB]: 5756
% 0.14/0.47  % (20202)Time elapsed: 0.111 s
% 0.14/0.47  % (20202)Instructions burned: 3 (million)
% 0.14/0.47  % (20202)------------------------------
% 0.14/0.47  % (20202)------------------------------
% 0.14/0.47  % (20218)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)
% 0.14/0.48  % (20208)Refutation found. Thanks to Tanya!
% 0.14/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.48  % (20208)------------------------------
% 0.14/0.48  % (20208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48  % (20208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48  % (20208)Termination reason: Refutation
% 0.14/0.48  
% 0.14/0.48  % (20208)Memory used [KB]: 1407
% 0.14/0.48  % (20208)Time elapsed: 0.105 s
% 0.14/0.48  % (20208)Instructions burned: 3 (million)
% 0.14/0.48  % (20208)------------------------------
% 0.14/0.48  % (20208)------------------------------
% 0.14/0.48  % (20193)Success in time 0.171 s
%------------------------------------------------------------------------------