TSTP Solution File: ITP173^1 by Lash---1.13
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%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP173^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %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 : 300s
% DateTime : Thu Aug 31 04:02:43 EDT 2023
% Result : Theorem 0.19s 0.45s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_heap_S1465075775_j_k_l,type,
heap_S1465075775_j_k_l: $tType ).
thf(ty_type_w1771507213_j_k_l,type,
type_w1771507213_j_k_l: heap_S1465075775_j_k_l > $o ).
thf(ty_type_w697503069_j_k_l,type,
type_w697503069_j_k_l: heap_S1465075775_j_k_l > $o ).
thf(ty_type_w92696601_j_k_l,type,
type_w92696601_j_k_l: heap_S1465075775_j_k_l > $o ).
thf(ty_h,type,
h: heap_S1465075775_j_k_l ).
thf(sP1,plain,
( sP1
<=> ( type_w1771507213_j_k_l @ h ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( type_w92696601_j_k_l @ h )
=> sP1 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( type_w92696601_j_k_l @ h ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: heap_S1465075775_j_k_l] :
( ( type_w92696601_j_k_l @ X1 )
=> ( type_w1771507213_j_k_l @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: heap_S1465075775_j_k_l] :
( ( type_w1771507213_j_k_l @ X1 )
=> ( type_w697503069_j_k_l @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( type_w697503069_j_k_l @ h ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( sP1
=> sP6 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(conj_3,conjecture,
sP6 ).
thf(h0,negated_conjecture,
~ sP6,
inference(assume_negation,[status(cth)],[conj_3]) ).
thf(1,plain,
( ~ sP7
| ~ sP1
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP2
| ~ sP3
| sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP5
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP4
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(conj_2,axiom,
sP3 ).
thf(fact_142_ShadowRootClass_Otype__wf_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a,axiom,
sP4 ).
thf(fact_140_CharacterDataClass_Otype__wf_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
sP5 ).
thf(5,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,h0,conj_2,fact_142_ShadowRootClass_Otype__wf_092_060_094sub_062C_092_060_094sub_062h_092_060_094sub_062a_092_060_094sub_062r_092_060_094sub_062a_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062D_092_060_094sub_062a_092_060_094sub_062t_092_060_094sub_062a,fact_140_CharacterDataClass_Otype__wf_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t]) ).
thf(0,theorem,
sP6,
inference(contra,[status(thm),contra(discharge,[h0])],[5,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP173^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n016.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 : Sun Aug 27 17:30:43 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 % Mode: cade22sinegrackle2x6978
% 0.19/0.45 % Steps: 140
% 0.19/0.45 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------