%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR139^1 : 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 : n028.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 01:24:02 PM UTC 2025
% Result : Theorem 16.78s 17.09s
% Output : Proof 16.78s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(ty_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(ty_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(ty_lAnna_THFTYPE_i,type,
lAnna_THFTYPE_i: $i ).
thf(sP1,plain,
( sP1
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( ^ [X1: $i,X2: $i] : ( X1 != X2 ) )
= ( ^ [X1: $i,X2: $i] :
@+[X3: $o] : X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $i > $i > $o,X2: $i] :
( ~ ( ( X1 @ X2 @ lBill_THFTYPE_i )
=> ~ @+[X3: $o] : X3 )
=> ( X1
= ( ^ [X3: $i,X4: $i] :
@+[X5: $o] : X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( lSue_THFTYPE_i = lSue_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( lMary_THFTYPE_i = lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ~ ( ~ sP5
=> ~ @+[X1: $o] : X1 )
=> sP2 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ~ sP5
=> ~ @+[X1: $o] : X1 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( lMary_THFTYPE_i = lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( ~ sP8 )
= ( @+[X1: $o] : X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( lBill_THFTYPE_i = lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> $false ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
( ~ ( ( X2 @ X3 @ lBill_THFTYPE_i )
=> ~ ( X1 @ X3 @ lAnna_THFTYPE_i ) )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( sP5
=> sP10 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: $i] :
( ( lMary_THFTYPE_i = X1 )
=> ( X1 = lMary_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: $i] :
( ~ ( ( X1 != lBill_THFTYPE_i )
=> ~ @+[X2: $o] : X2 )
=> sP2 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: $i] :
( ( lMary_THFTYPE_i != X1 )
= ( @+[X2: $o] : X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( ( ^ [X1: $i] : ( lMary_THFTYPE_i != X1 ) )
= ( ^ [X1: $i] :
@+[X2: $o] : X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ! [X1: $i,X2: $i] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> @+[X1: $o] : X1 ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: $i] :
( ( ^ [X2: $i] : ( X1 != X2 ) )
= ( ^ [X2: $i] : sP20 ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ! [X1: $o] : ~ X1 ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(con,conjecture,
~ sP12 ).
thf(h0,negated_conjecture,
sP12,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP7
| sP5
| ~ sP20 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP6
| sP7
| sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP9
| ~ sP8
| ~ sP20 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP17
| sP9 ),
inference(all_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP18
| sP17 ),
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP21
| sP18 ),
inference(all_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP2
| sP21 ),
inference(prop_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP16
| sP6 ),
inference(all_rule,[status(thm)],[]) ).
thf(9,plain,
sP8,
inference(prop_rule,[status(thm)],[]) ).
thf(10,plain,
( ~ sP3
| sP16 ),
inference(all_rule,[status(thm)],[]) ).
thf(11,plain,
~ sP11,
inference(prop_rule,[status(thm)],[]) ).
thf(12,plain,
( ~ sP22
| sP11 ),
inference(all_rule,[status(thm)],[]) ).
thf(13,plain,
( sP20
| sP22 ),
inference(choice_rule,[status(thm)],[]) ).
thf(14,plain,
( ~ sP12
| sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(15,plain,
sP4,
inference(prop_rule,[status(thm)],[]) ).
thf(16,plain,
( ~ sP15
| sP1
| ~ sP4
| ~ sP10 ),
inference(mating_rule,[status(thm)],[]) ).
thf(17,plain,
( ~ sP13
| ~ sP5
| sP10 ),
inference(prop_rule,[status(thm)],[]) ).
thf(18,plain,
( ~ sP14
| sP13 ),
inference(all_rule,[status(thm)],[]) ).
thf(19,plain,
( ~ sP19
| sP14 ),
inference(all_rule,[status(thm)],[]) ).
thf(20,plain,
sP19,
inference(eq_sym,[status(thm)],[]) ).
thf(ax_001,axiom,
~ sP1 ).
thf(ax,axiom,
sP15 ).
thf(21,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,h0,ax_001,ax]) ).
thf(0,theorem,
~ sP12,
inference(contra,[status(thm),contra(discharge,[h0])],[21,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR139^1 : 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
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 8 16:59:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 16.78/17.09 % SZS status Theorem
% 16.78/17.09 % Mode: mode473
% 16.78/17.09 % Inferences: 809
% 16.78/17.09 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------