%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR146^2 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n007.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 Oct 9 01:24:05 PM UTC 2025
% Result : Theorem 182.37s 182.33s
% Output : Proof 182.37s
% 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_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(ty_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(ty_instance_THFTYPE_IIiioIioI,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(ty_wife_THFTYPE_IiioI,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lRelationExtendedToQuantities_THFTYPE_i,type,
lRelationExtendedToQuantities_THFTYPE_i: $i ).
thf(ty_lIrreflexiveRelation_THFTYPE_i,type,
lIrreflexiveRelation_THFTYPE_i: $i ).
thf(ty_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(sP1,plain,
( sP1
<=> ( ( husband_THFTYPE_IiioI
= ( ^ [X1: $i,X2: $i] : ~ $false ) )
=> ( instance_THFTYPE_IIiioIioI
@ ^ [X1: $i,X2: $i] : ~ $false
@ lIrreflexiveRelation_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [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,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $i] :
( ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X1 )
= ( wife_THFTYPE_IiioI @ X1 @ lChris_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i > $i > $o,X2: ( $i > $i > $o ) > $o] :
( ( X2 @ X1 )
=> ! [X3: $i > $i > $o] :
( ( X1 = X3 )
=> ( X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
=> ! [X1: $i > $i > $o] :
( ( husband_THFTYPE_IiioI = X1 )
=> ( instance_THFTYPE_IIiioIioI @ X1 @ lIrreflexiveRelation_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i > $i > $o] :
( ( husband_THFTYPE_IiioI = X1 )
=> ( instance_THFTYPE_IIiioIioI @ X1 @ lIrreflexiveRelation_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
=> ! [X1: $i,X2: $i] :
( ( husband_THFTYPE_IiioI @ X1 @ X2 )
= ( wife_THFTYPE_IiioI @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
=> ( husband_THFTYPE_IiioI
= ( ^ [X1: $i,X2: $i] : ~ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> $false ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
=> ! [X1: $o] :
( ( ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= X1 )
=> ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: $o,X2: $o > $o] :
( ( X2 @ X1 )
=> ! [X3: $o] :
( ( X1 = X3 )
=> ( X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: ( $i > $i > $o ) > $o] :
( ( X1 @ husband_THFTYPE_IiioI )
=> ! [X2: $i > $i > $o] :
( ( husband_THFTYPE_IiioI = X2 )
=> ( X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ X1 @ lIrreflexiveRelation_THFTYPE_i )
= ( ! [X2: $i] :
~ ( X1 @ X2 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [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,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( ( instance_THFTYPE_IIiioIioI
@ ^ [X1: $i,X2: $i] : ~ sP10
@ lIrreflexiveRelation_THFTYPE_i )
= ( ! [X1: $i] : sP10 ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( husband_THFTYPE_IiioI
= ( ^ [X1: $i,X2: $i] : ~ sP10 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ! [X1: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
=> ( X1
= ( ^ [X2: $i,X3: $i] : ~ sP10 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( instance_THFTYPE_IIiioIioI
@ ^ [X1: $i,X2: $i] : ~ sP10
@ lIrreflexiveRelation_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ! [X1: $o] :
( ( ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= X1 )
=> ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ! [X1: $o > $o] :
( ( X1 @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
=> ! [X2: $o] :
( ( ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= X2 )
=> ( X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ! [X1: $i,X2: $i] :
( ( husband_THFTYPE_IiioI @ X1 @ X2 )
= ( wife_THFTYPE_IiioI @ X2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ! [X1: $i] : sP10 ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( sP22
=> ~ sP5 ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(con,conjecture,
~ sP20 ).
thf(h0,negated_conjecture,
sP20,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP28
| ~ sP22
| ~ sP5 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP24
| sP28 ),
inference(all_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP12
| sP23
| sP24 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP25
| sP12 ),
inference(all_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP14
| sP25 ),
inference(all_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP26
| sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP3
| sP22 ),
inference(all_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP27
| sP10 ),
inference(all_rule,[status(thm)],[]) ).
thf(9,plain,
( ~ sP18
| ~ sP21
| sP27 ),
inference(prop_rule,[status(thm)],[]) ).
thf(10,plain,
( ~ sP17
| sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(11,plain,
( ~ sP2
| sP8 ),
inference(all_rule,[status(thm)],[]) ).
thf(12,plain,
( ~ sP8
| ~ sP11
| sP26 ),
inference(prop_rule,[status(thm)],[]) ).
thf(13,plain,
( ~ sP16
| sP18 ),
inference(all_rule,[status(thm)],[]) ).
thf(14,plain,
( ~ sP20
| sP9 ),
inference(all_rule,[status(thm)],[]) ).
thf(15,plain,
( ~ sP9
| ~ sP23
| sP19 ),
inference(prop_rule,[status(thm)],[]) ).
thf(16,plain,
( ~ sP1
| ~ sP19
| sP21 ),
inference(prop_rule,[status(thm)],[]) ).
thf(17,plain,
( ~ sP7
| sP1 ),
inference(all_rule,[status(thm)],[]) ).
thf(18,plain,
( ~ sP6
| ~ sP13
| sP7 ),
inference(prop_rule,[status(thm)],[]) ).
thf(19,plain,
( ~ sP15
| sP6 ),
inference(all_rule,[status(thm)],[]) ).
thf(20,plain,
( ~ sP4
| sP15 ),
inference(all_rule,[status(thm)],[]) ).
thf(21,plain,
sP14,
inference(eq_ind,[status(thm)],[]) ).
thf(22,plain,
~ sP10,
inference(prop_rule,[status(thm)],[]) ).
thf(23,plain,
sP4,
inference(eq_ind,[status(thm)],[]) ).
thf(ax_285,axiom,
sP13 ).
thf(ax_110,axiom,
sP5 ).
thf(ax_092,axiom,
sP11 ).
thf(ax_031,axiom,
sP16 ).
thf(ax_005,axiom,
sP17 ).
thf(24,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,ax_285,ax_110,ax_092,ax_031,ax_005,h0]) ).
thf(0,theorem,
~ sP20,
inference(contra,[status(thm),contra(discharge,[h0])],[24,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR146^2 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 8 17:03:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 182.37/182.33 % SZS status Theorem
% 182.37/182.33 % Mode: mode503:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 182.37/182.33 % Inferences: 9887
% 182.37/182.33 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------