TSTP Solution File: LAT281-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LAT281-2 : 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 : n028.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 17:33:08 EDT 2022

% Result   : Unsatisfiable 1.54s 0.57s
% Output   : Refutation 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   21 (   1 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-4 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f19,plain,
    $false,
    inference(subsumption_resolution,[],[f17,f1]) ).

fof(f1,axiom,
    c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f17,plain,
    ~ c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(resolution,[],[f15,f3]) ).

fof(f3,axiom,
    ~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f15,plain,
    ! [X1] :
      ( c_in(c_Pair(X1,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f11,f2]) ).

fof(f2,axiom,
    c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f11,plain,
    ! [X6,X7,X5] :
      ( ~ c_in(c_Pair(X5,X6,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X7,X5,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | c_in(c_Pair(X7,X6,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f4,f9]) ).

fof(f9,plain,
    c_Relation_Otrans(v_r,t_a),
    inference(subsumption_resolution,[],[f8,f6]) ).

fof(f6,axiom,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).

fof(f8,plain,
    ( c_Relation_Otrans(v_r,t_a)
    | ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
    inference(superposition,[],[f5,f7]) ).

fof(f7,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

fof(f5,axiom,
    ! [X1,X5] :
      ( c_Relation_Otrans(c_Tarski_Opotype_Oorder(X5,X1,tc_Product__Type_Ounit),X1)
      | ~ c_in(X5,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_2) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_Relation_Otrans(X0,X1)
      | ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
      | ~ c_in(c_Pair(X4,X2,X1,X1),X0,tc_prod(X1,X1))
      | c_in(c_Pair(X4,X3,X1,X1),X0,tc_prod(X1,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Otrans__def_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : LAT281-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13  % 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 : n028.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 01:08:03 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.40/0.55  % (29822)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.54/0.55  % (29814)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.54/0.55  % (29806)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.54/0.56  % (29797)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)
% 1.54/0.56  % (29799)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)
% 1.54/0.56  % (29814)Refutation not found, incomplete strategy% (29814)------------------------------
% 1.54/0.56  % (29814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56  % (29797)Refutation not found, incomplete strategy% (29797)------------------------------
% 1.54/0.56  % (29797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56  % (29797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56  % (29797)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.56  
% 1.54/0.56  % (29797)Memory used [KB]: 5756
% 1.54/0.56  % (29797)Time elapsed: 0.141 s
% 1.54/0.56  % (29797)Instructions burned: 2 (million)
% 1.54/0.56  % (29797)------------------------------
% 1.54/0.56  % (29797)------------------------------
% 1.54/0.56  % (29822)Refutation not found, incomplete strategy% (29822)------------------------------
% 1.54/0.56  % (29822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56  % (29814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56  % (29814)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.56  
% 1.54/0.56  % (29814)Memory used [KB]: 5756
% 1.54/0.56  % (29814)Time elapsed: 0.141 s
% 1.54/0.56  % (29814)Instructions burned: 1 (million)
% 1.54/0.56  % (29814)------------------------------
% 1.54/0.56  % (29814)------------------------------
% 1.54/0.56  % (29799)First to succeed.
% 1.54/0.56  % (29822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56  % (29822)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.56  
% 1.54/0.56  % (29822)Memory used [KB]: 5756
% 1.54/0.56  % (29822)Time elapsed: 0.141 s
% 1.54/0.56  % (29822)Instructions burned: 2 (million)
% 1.54/0.56  % (29822)------------------------------
% 1.54/0.56  % (29822)------------------------------
% 1.54/0.56  % (29806)Instruction limit reached!
% 1.54/0.56  % (29806)------------------------------
% 1.54/0.56  % (29806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56  % (29806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56  % (29806)Termination reason: Unknown
% 1.54/0.56  % (29806)Termination phase: Saturation
% 1.54/0.56  
% 1.54/0.56  % (29806)Memory used [KB]: 5756
% 1.54/0.56  % (29806)Time elapsed: 0.133 s
% 1.54/0.56  % (29806)Instructions burned: 3 (million)
% 1.54/0.56  % (29806)------------------------------
% 1.54/0.56  % (29806)------------------------------
% 1.54/0.57  % (29799)Refutation found. Thanks to Tanya!
% 1.54/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.54/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.57  % (29799)------------------------------
% 1.54/0.57  % (29799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57  % (29799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57  % (29799)Termination reason: Refutation
% 1.54/0.57  
% 1.54/0.57  % (29799)Memory used [KB]: 1279
% 1.54/0.57  % (29799)Time elapsed: 0.134 s
% 1.54/0.57  % (29799)Instructions burned: 2 (million)
% 1.54/0.57  % (29799)------------------------------
% 1.54/0.57  % (29799)------------------------------
% 1.54/0.57  % (29792)Success in time 0.212 s
%------------------------------------------------------------------------------