%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR129^1 : 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 : n016.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 01:24:00 PM UTC 2025
% Result : Theorem 2.51s 2.75s
% Output : Proof 2.51s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(ty_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(ty_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(ty_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(ty_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(ty_lBen_THFTYPE_i,type,
lBen_THFTYPE_i: $i ).
thf(ty_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(sP1,plain,
( sP1
<=> ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= ( ~ ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ lSue_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lSue_THFTYPE_i ) )
=> ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ lMary_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lMary_THFTYPE_i ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= ( ~ ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ lSue_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lSue_THFTYPE_i ) )
=> ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ lMary_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lMary_THFTYPE_i ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ lSue_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lSue_THFTYPE_i ) )
=> ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ lMary_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lMary_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= ( ~ sP4 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP8 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( ~ sP8 ) = ( ~ sP4 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( X1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( X1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(con,conjecture,
~ sP12 ).
thf(h0,negated_conjecture,
sP12,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP13
| ~ sP16
| ~ sP15 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( sP13
| sP15 ),
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( sP1
| sP8
| sP13 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( sP1
| ~ sP8
| ~ sP13 ),
inference(prop_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP9
| sP5
| ~ sP6
| ~ sP1 ),
inference(mating_rule,[status(thm)],[]) ).
thf(6,plain,
( sP3
| sP16
| ~ sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP11
| sP2
| ~ sP6
| ~ sP3 ),
inference(mating_rule,[status(thm)],[]) ).
thf(8,plain,
( sP7
| ~ sP15
| sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(9,plain,
( sP7
| sP15
| ~ sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(10,plain,
( ~ sP14
| sP2
| ~ sP6
| ~ sP7 ),
inference(mating_rule,[status(thm)],[]) ).
thf(11,plain,
sP6,
inference(prop_rule,[status(thm)],[]) ).
thf(12,plain,
( sP10
| sP8
| sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(13,plain,
( sP10
| ~ sP8
| ~ sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(14,plain,
( ~ sP9
| sP2
| ~ sP6
| ~ sP10 ),
inference(mating_rule,[status(thm)],[]) ).
thf(15,plain,
( ~ sP12
| ~ sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(16,plain,
( ~ sP12
| ~ sP5 ),
inference(all_rule,[status(thm)],[]) ).
thf(ax_007,axiom,
sP9 ).
thf(ax_006,axiom,
sP14 ).
thf(ax_001,axiom,
sP11 ).
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_007,ax_006,ax_001,h0]) ).
thf(0,theorem,
~ sP12,
inference(contra,[status(thm),contra(discharge,[h0])],[17,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : CSR129^1 : TPTP v9.2.0. Released v4.1.0.
% 0.08/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n016.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 17:05:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.51/2.75 % SZS status Theorem
% 2.51/2.75 % Mode: mode506
% 2.51/2.75 % Inferences: 28681
% 2.51/2.75 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------