TSTP Solution File: SWV972-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV972-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %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  : 600s
% DateTime : Wed Jul 20 21:45:47 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-5 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-5 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(409,axiom,
    ( ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),u,v_Us____,tc_Type_Oty,tc_Type_Oty)
    | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,u)
    | v_thesis____ ),
    file('SWV972-1.p',unknown),
    [] ).

cnf(450,axiom,
    c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
    file('SWV972-1.p',unknown),
    [] ).

cnf(451,axiom,
    c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
    file('SWV972-1.p',unknown),
    [] ).

cnf(507,axiom,
    ~ v_thesis____,
    file('SWV972-1.p',unknown),
    [] ).

cnf(535,plain,
    ( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,u)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),u,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
    inference(mrr,[status(thm)],[409,507]),
    [iquote('0:MRR:409.2,507.0')] ).

cnf(541,plain,
    ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
    inference(res,[status(thm),theory(equality)],[450,535]),
    [iquote('0:Res:450.0,535.0')] ).

cnf(543,plain,
    $false,
    inference(mrr,[status(thm)],[541,451]),
    [iquote('0:MRR:541.0,451.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWV972-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.14  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 17:03:24 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.53  
% 0.20/0.53  SPASS V 3.9 
% 0.20/0.53  SPASS beiseite: Proof found.
% 0.20/0.53  % SZS status Theorem
% 0.20/0.53  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.53  SPASS derived 7 clauses, backtracked 0 clauses, performed 0 splits and kept 426 clauses.
% 0.20/0.53  SPASS allocated 76521 KBytes.
% 0.20/0.53  SPASS spent	0:00:00.16 on the problem.
% 0.20/0.53  		0:00:00.05 for the input.
% 0.20/0.53  		0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.53  		0:00:00.00 for inferences.
% 0.20/0.53  		0:00:00.00 for the backtracking.
% 0.20/0.53  		0:00:00.07 for the reduction.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  Here is a proof with depth 1, length 7 :
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.53  Formulae used in the proof : cls_that_0 cls_CHAINED_1 cls_CHAINED_0 cls_conjecture_0
% 0.20/0.53  
%------------------------------------------------------------------------------