%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : LAT259-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n016.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  : 600s
% DateTime : Sun Jul 17 06:49:49 EDT 2022

% Result   : Unsatisfiable 5.46s 5.67s
% Output   : Refutation 5.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   9 unt;   0 nHn;  12 RR)
%            Number of literals    :   18 (   0 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  11 con; 0-4 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ c_Relation_Oantisym(u,v)
    | ~ c_in(c_Pair(w,x,v,v),u,tc_prod(v,v))
    | ~ c_in(c_Pair(x,w,v,v),u,tc_prod(v,v))
    | equal(w,x) ),
    file('LAT259-1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ c_in(u,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(v,tc_Product__Type_Ounit))
    | c_Relation_Oantisym(c_Tarski_Opotype_Oorder(u,v,tc_Product__Type_Ounit),v) ),
    file('LAT259-1.p',unknown),
    [] ).

cnf(10,axiom,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('LAT259-1.p',unknown),
    [] ).

cnf(11,axiom,
    equal(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),v_r),
    file('LAT259-1.p',unknown),
    [] ).

cnf(12,axiom,
    c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('LAT259-1.p',unknown),
    [] ).

cnf(13,axiom,
    c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('LAT259-1.p',unknown),
    [] ).

cnf(14,axiom,
    ~ equal(v_b,v_a),
    file('LAT259-1.p',unknown),
    [] ).

cnf(3107,plain,
    ( ~ c_Relation_Oantisym(v_r,t_a)
    | ~ c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | equal(v_b,v_a) ),
    inference(res,[status(thm),theory(equality)],[13,1]),
    [iquote('0:Res:13.0,1.1')] ).

cnf(3154,plain,
    ~ c_Relation_Oantisym(v_r,t_a),
    inference(mrr,[status(thm)],[3107,12,14]),
    [iquote('0:MRR:3107.1,3107.2,12.0,14.0')] ).

cnf(20130,plain,
    c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
    inference(res,[status(thm),theory(equality)],[10,7]),
    [iquote('0:Res:10.0,7.0')] ).

cnf(20133,plain,
    c_Relation_Oantisym(v_r,t_a),
    inference(rew,[status(thm),theory(equality)],[11,20130]),
    [iquote('0:Rew:11.0,20130.0')] ).

cnf(20134,plain,
    $false,
    inference(mrr,[status(thm)],[20133,3154]),
    [iquote('0:MRR:20133.0,3154.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LAT259-1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.11  % Command  : run_spass %d %s
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Wed Jun 29 16:42:54 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 5.46/5.67  
% 5.46/5.67  SPASS V 3.9 
% 5.46/5.67  SPASS beiseite: Proof found.
% 5.46/5.67  % SZS status Theorem
% 5.46/5.67  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 5.46/5.67  SPASS derived 14412 clauses, backtracked 0 clauses, performed 1 splits and kept 5044 clauses.
% 5.46/5.67  SPASS allocated 89437 KBytes.
% 5.46/5.67  SPASS spent	0:00:05.19 on the problem.
% 5.46/5.67  		0:00:00.22 for the input.
% 5.46/5.67  		0:00:00.00 for the FLOTTER CNF translation.
% 5.46/5.67  		0:00:00.32 for inferences.
% 5.46/5.67  		0:00:00.00 for the backtracking.
% 5.46/5.67  		0:00:03.83 for the reduction.
% 5.46/5.67  
% 5.46/5.67  
% 5.46/5.67  Here is a proof with depth 1, length 12 :
% 5.46/5.67  % SZS output start Refutation
% See solution above
% 5.46/5.67  Formulae used in the proof : cls_Relation_Oantisym__def_0 cls_Tarski_OPartialOrder__iff_1 cls_Tarski_Ocl_A_58_APartialOrder_0 cls_Tarski_Or_A_61_61_Aorder_Acl_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2
% 5.46/5.67  
%------------------------------------------------------------------------------