TSTP Solution File: SWV954-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV954-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %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  : 600s
% DateTime : Wed Jul 20 21:45:43 EDT 2022

% Result   : Unsatisfiable 0.49s 0.65s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   7 unt;   1 nHn;  10 RR)
%            Number of literals    :   14 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-5 aty)
%            Number of functors    :   22 (  22 usr;  18 con; 0-7 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(264,axiom,
    ( ~ c_WellTypeRT_OWTrt(u,v,w,c_Expr_Oexp_OFAss(x,y,z,x1,tc_List_Olist(tc_String_Ochar)),x2)
    | c_WellTypeRT_OWTrt(u,v,w,x1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(w,u,v,x1))
    | c_WellTypeRT_OWTrt(u,v,w,x1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(z,w,y,u,x,v,x1)) ),
    file('SWV954-1.p',unknown),
    [] ).

cnf(359,axiom,
    equal(v_T____,c_Type_Oty_OVoid),
    file('SWV954-1.p',unknown),
    [] ).

cnf(384,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
    file('SWV954-1.p',unknown),
    [] ).

cnf(397,axiom,
    ~ v_thesis____,
    file('SWV954-1.p',unknown),
    [] ).

cnf(398,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,u)
    | v_thesis____ ),
    file('SWV954-1.p',unknown),
    [] ).

cnf(399,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,u),
    inference(mrr,[status(thm)],[398,397]),
    [iquote('0:MRR:398.1,397.0')] ).

cnf(400,plain,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
    inference(rew,[status(thm),theory(equality)],[359,384]),
    [iquote('0:Rew:359.0,384.0')] ).

cnf(414,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(u,v,w,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),x)
    | c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____,v_P,v_ha____,v_e_092_060_094isub_0622____)) ),
    inference(res,[status(thm),theory(equality)],[264,399]),
    [iquote('0:Res:264.2,399.0')] ).

cnf(424,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(u,v,w,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),x),
    inference(mrr,[status(thm)],[414,399]),
    [iquote('0:MRR:414.1,399.0')] ).

cnf(425,plain,
    $false,
    inference(unc,[status(thm)],[424,400]),
    [iquote('0:UnC:424.0,400.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV954-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.11  % Command  : run_spass %d %s
% 0.12/0.32  % Computer : n023.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Tue Jun 14 23:26:50 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.49/0.65  
% 0.49/0.65  SPASS V 3.9 
% 0.49/0.65  SPASS beiseite: Proof found.
% 0.49/0.65  % SZS status Theorem
% 0.49/0.65  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.49/0.65  SPASS derived 19 clauses, backtracked 0 clauses, performed 0 splits and kept 322 clauses.
% 0.49/0.65  SPASS allocated 77318 KBytes.
% 0.49/0.65  SPASS spent	0:00:00.31 on the problem.
% 0.49/0.65  		0:00:00.07 for the input.
% 0.49/0.65  		0:00:00.00 for the FLOTTER CNF translation.
% 0.49/0.65  		0:00:00.00 for inferences.
% 0.49/0.65  		0:00:00.00 for the backtracking.
% 0.49/0.65  		0:00:00.17 for the reduction.
% 0.49/0.65  
% 0.49/0.65  
% 0.49/0.65  Here is a proof with depth 1, length 10 :
% 0.49/0.65  % SZS output start Refutation
% See solution above
% 0.49/0.65  Formulae used in the proof : cls_WTrt__elim__cases_I8_J_11 cls_void_0 cls_CHAINED_0 cls_conjecture_0 cls_conjecture_1
% 0.49/0.65  
%------------------------------------------------------------------------------