%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR144^2 : 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 : n004.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 01:24:04 PM UTC 2025
% Result : Theorem 181.09s 180.34s
% Output : Proof 181.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_husband_THFTYPE_IiioI,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lMax_THFTYPE_i,type,
lMax_THFTYPE_i: $i ).
thf(ty_inverse_THFTYPE_IIiioIIiioIoI,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(ty_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(ty_lPropositionalAttitude_THFTYPE_i,type,
lPropositionalAttitude_THFTYPE_i: $i ).
thf(ty_believes_THFTYPE_IiooI,type,
believes_THFTYPE_IiooI: $i > $o > $o ).
thf(ty_wife_THFTYPE_IiioI,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_considers_THFTYPE_IiooI,type,
considers_THFTYPE_IiooI: $i > $o > $o ).
thf(sP1,plain,
( sP1
<=> ( ~ ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ X1 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ lPropositionalAttitude_THFTYPE_i ) ) )
=> ! [X1: $o] :
( ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ lPropositionalAttitude_THFTYPE_i )
= X1 )
=> ~ ! [X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ X2 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i,X2: $i] :
( ( husband_THFTYPE_IiioI @ X1 @ X2 )
= ( wife_THFTYPE_IiioI @ X2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [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,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $o > $o] :
( ( X1 @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ lPropositionalAttitude_THFTYPE_i ) )
=> ! [X2: $o] :
( ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ lPropositionalAttitude_THFTYPE_i )
= X2 )
=> ( X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $o,X2: $o > $o] :
( ( X2 @ X1 )
=> ! [X3: $o] :
( ( X1 = X3 )
=> ( X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i] :
( ( believes_THFTYPE_IiooI @ X1 @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ lPropositionalAttitude_THFTYPE_i ) )
=> ~ ! [X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ X2 @ ( considers_THFTYPE_IiooI @ X1 @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ lPropositionalAttitude_THFTYPE_i ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $o,X2: $i] :
( ( believes_THFTYPE_IiooI @ X2 @ X1 )
=> ~ ! [X3: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ X3 @ ( considers_THFTYPE_IiooI @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: $o] :
( ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ lPropositionalAttitude_THFTYPE_i )
= X1 )
=> ~ ! [X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ X2 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: $i,X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ X2 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X1 @ lMax_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ lPropositionalAttitude_THFTYPE_i )
= ( wife_THFTYPE_IiioI @ lPropositionalAttitude_THFTYPE_i @ lMax_THFTYPE_i ) ) ),
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
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ X1 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ lPropositionalAttitude_THFTYPE_i @ lMax_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: $i] :
( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X1 )
= ( wife_THFTYPE_IiioI @ X1 @ lMax_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: $i] : ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( sP11
=> sP2 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ lPropositionalAttitude_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( sP10
=> ~ sP12 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ! [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,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( sP16
=> ~ ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ X1 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ lPropositionalAttitude_THFTYPE_i ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ X1 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ lPropositionalAttitude_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(con,conjecture,
~ sP14 ).
thf(h0,negated_conjecture,
sP14,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP17
| ~ sP10
| ~ sP12 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP8
| sP17 ),
inference(all_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP1
| sP20
| sP8 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP4
| sP1 ),
inference(all_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP7
| sP6 ),
inference(all_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP6
| sP19 ),
inference(all_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP19
| ~ sP16
| ~ sP20 ),
inference(prop_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP13
| sP10 ),
inference(all_rule,[status(thm)],[]) ).
thf(9,plain,
( ~ sP5
| sP4 ),
inference(all_rule,[status(thm)],[]) ).
thf(10,plain,
( ~ sP2
| sP13 ),
inference(all_rule,[status(thm)],[]) ).
thf(11,plain,
( ~ sP3
| sP18 ),
inference(all_rule,[status(thm)],[]) ).
thf(12,plain,
( ~ sP18
| sP15 ),
inference(all_rule,[status(thm)],[]) ).
thf(13,plain,
( ~ sP15
| ~ sP11
| sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(14,plain,
( ~ sP14
| sP16 ),
inference(all_rule,[status(thm)],[]) ).
thf(15,plain,
( ~ sP9
| sP12 ),
inference(all_rule,[status(thm)],[]) ).
thf(16,plain,
sP5,
inference(eq_ind,[status(thm)],[]) ).
thf(ax_096,axiom,
sP11 ).
thf(ax_088,axiom,
sP9 ).
thf(ax_058,axiom,
sP7 ).
thf(ax_005,axiom,
sP3 ).
thf(17,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,ax_096,ax_088,ax_058,ax_005,h0]) ).
thf(0,theorem,
~ sP14,
inference(contra,[status(thm),contra(discharge,[h0])],[17,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR144^2 : TPTP v9.2.0. Released v4.1.0.
% 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n004.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 17:07:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 181.09/180.34 % SZS status Theorem
% 181.09/180.34 % Mode: mode503:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 181.09/180.34 % Inferences: 17736
% 181.09/180.34 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------