TSTP Solution File: CSR142^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR142^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n006.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 : Fri Jul 15 23:14:29 EDT 2022
% Result : Theorem 1.98s 2.17s
% Output : Proof 1.98s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_husband_THFTYPE_IiioI,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lChris_THFTYPE_i,type,
lChris_THFTYPE_i: $i ).
thf(ty_inverse_THFTYPE_IIiioIIiioIoI,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(ty_lCorina_THFTYPE_i,type,
lCorina_THFTYPE_i: $i ).
thf(ty_wife_THFTYPE_IiioI,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(sP1,plain,
( sP1
<=> ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $o] :
( ( X1
= ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
=> X1 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ wife_THFTYPE_IiioI )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
= ( wife_THFTYPE_IiioI @ X3 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $o > $o] :
( ( X1 @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
=> ! [X2: $o] :
( ( X2
= ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
=> ( X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( sP3
= ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
=> sP2 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( sP1
=> ! [X1: $i,X2: $i] :
( ( husband_THFTYPE_IiioI @ X1 @ X2 )
= ( wife_THFTYPE_IiioI @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: $i] :
( ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X1 )
= ( wife_THFTYPE_IiioI @ X1 @ lChris_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X2 @ X1 )
=> ! [X3: $i,X4: $i] :
( ( X2 @ X3 @ X4 )
= ( X1 @ X4 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: $o,X2: $o > $o] :
( ( X2 @ X1 )
=> ! [X3: $o] :
( ( X3 = X1 )
=> ( X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: $i] :
~ ( husband_THFTYPE_IiioI @ X1 @ lCorina_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: $i,X2: $i] :
( ( husband_THFTYPE_IiioI @ X1 @ X2 )
= ( wife_THFTYPE_IiioI @ X2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( sP3 = sP14 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(con,conjecture,
~ sP12 ).
thf(h0,negated_conjecture,
sP12,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP13
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP9
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP6
| ~ sP15
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP2
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP7
| ~ sP14
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP5
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP11
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
sP11,
inference(eq_ind_sym,[status(thm)],]) ).
thf(9,plain,
( ~ sP4
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP8
| ~ sP1
| sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP10
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP12
| ~ sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(ax_002,axiom,
sP14 ).
thf(ax_001,axiom,
sP10 ).
thf(ax,axiom,
sP1 ).
thf(13,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,ax_002,ax_001,ax,h0]) ).
thf(0,theorem,
~ sP12,
inference(contra,[status(thm),contra(discharge,[h0])],[13,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR142^1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 11 13:35:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.98/2.17 % SZS status Theorem
% 1.98/2.17 % Mode: mode506
% 1.98/2.17 % Inferences: 8
% 1.98/2.17 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------