%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR152^1 : 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 : n014.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 01:24:07 PM UTC 2025
% Result : Theorem 0.14s 0.38s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_lChris_THFTYPE_i,type,
lChris_THFTYPE_i: $i ).
thf(ty_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
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(sP1,plain,
( sP1
<=> ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( lChris_THFTYPE_i = lChris_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( lChris_THFTYPE_i = lChris_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( ! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ sP4 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(con,conjecture,
sP7 ).
thf(h0,negated_conjecture,
~ sP7,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP9
| sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP2
| ~ sP6
| sP8 ),
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( sP3
| ~ sP4
| ~ sP8 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( sP5
| sP9
| sP8 ),
inference(prop_rule,[status(thm)],[]) ).
thf(5,plain,
sP4,
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP10
| sP7
| ~ sP4
| ~ sP3 ),
inference(mating_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP1
| sP7
| ~ sP4
| ~ sP5 ),
inference(mating_rule,[status(thm)],[]) ).
thf(ax,axiom,
sP10 ).
thf(ax_001,axiom,
sP6 ).
thf(ax_002,axiom,
sP1 ).
thf(8,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,ax,ax_001,ax_002,h0]) ).
thf(0,theorem,
sP7,
inference(contra,[status(thm),contra(discharge,[h0])],[8,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : CSR152^1 : TPTP v9.2.0. Released v4.1.0.
% 0.12/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 8 17:02:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.38 % SZS status Theorem
% 0.14/0.38 % Mode: mode213
% 0.14/0.38 % Inferences: 11
% 0.14/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------