%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP140^1 : TPTP v9.2.0. Released v7.5.0.
% 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 01:47:05 PM UTC 2025
% Result : Theorem 243.58s 242.94s
% Output : Proof 243.58s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_paraco1605129243lle_tv,type,
paraco1605129243lle_tv: $tType ).
thf(ty_list_char,type,
list_char: $tType ).
thf(ty_paraco1604210848lle_fm,type,
paraco1604210848lle_fm: $tType ).
thf(ty_p2,type,
p2: paraco1604210848lle_fm ).
thf(ty_i,type,
i: list_char > paraco1605129243lle_tv ).
thf(ty_paraco1344940915le_Det,type,
paraco1344940915le_Det: $o > paraco1605129243lle_tv ).
thf(ty_paraco1325918602e_eval,type,
paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).
thf(ty_paraco69239110le_Con,type,
paraco69239110le_Con: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(ty_p1,type,
p1: paraco1604210848lle_fm ).
thf(sP1,plain,
( sP1
<=> ! [X1: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm,X3: paraco1604210848lle_fm] :
~ ( ( ( ( paraco1325918602e_eval @ X1 @ X2 )
= ( paraco1325918602e_eval @ X1 @ X3 ) )
=> ( ( paraco1325918602e_eval @ X1 @ ( paraco69239110le_Con @ X2 @ X3 ) )
= ( paraco1325918602e_eval @ X1 @ X2 ) ) )
=> ~ ( ( ( paraco1325918602e_eval @ X1 @ X2 )
!= ( paraco1325918602e_eval @ X1 @ X3 ) )
=> ~ ( ( ( ( paraco1325918602e_eval @ X1 @ X2 )
= ( paraco1344940915le_Det @ ~ $false ) )
=> ( ( paraco1325918602e_eval @ X1 @ ( paraco69239110le_Con @ X2 @ X3 ) )
= ( paraco1325918602e_eval @ X1 @ X3 ) ) )
=> ~ ( ( ( paraco1325918602e_eval @ X1 @ X2 )
!= ( paraco1344940915le_Det @ ~ $false ) )
=> ~ ( ( ( ( paraco1325918602e_eval @ X1 @ X3 )
= ( paraco1344940915le_Det @ ~ $false ) )
=> ( ( paraco1325918602e_eval @ X1 @ ( paraco69239110le_Con @ X2 @ X3 ) )
= ( paraco1325918602e_eval @ X1 @ X2 ) ) )
=> ~ ( ( ( paraco1325918602e_eval @ X1 @ X3 )
!= ( paraco1344940915le_Det @ ~ $false ) )
=> ( ( paraco1325918602e_eval @ X1 @ ( paraco69239110le_Con @ X2 @ X3 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( paraco1325918602e_eval @ i @ p1 )
= ( paraco1325918602e_eval @ i @ p2 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( paraco1325918602e_eval @ i @ p1 )
= ( paraco1344940915le_Det @ ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ ~ $false ) )
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
= ( paraco1325918602e_eval @ i @ p1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( sP2
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
= ( paraco1325918602e_eval @ i @ p1 ) ) )
=> ~ ( ~ sP2
=> ~ ( ( sP3
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
= ( paraco1325918602e_eval @ i @ p2 ) ) )
=> ~ ( ~ sP3
=> ~ ( sP4
=> ~ ( ( ( paraco1325918602e_eval @ i @ p2 )
!= ( paraco1344940915le_Det @ ~ $false ) )
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ~ sP3
=> ~ ( sP4
=> ~ ( ( ( paraco1325918602e_eval @ i @ p2 )
!= ( paraco1344940915le_Det @ ~ $false ) )
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: paraco1604210848lle_fm,X2: paraco1604210848lle_fm] :
~ ( ( ( ( paraco1325918602e_eval @ i @ X1 )
= ( paraco1325918602e_eval @ i @ X2 ) )
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ X1 @ X2 ) )
= ( paraco1325918602e_eval @ i @ X1 ) ) )
=> ~ ( ( ( paraco1325918602e_eval @ i @ X1 )
!= ( paraco1325918602e_eval @ i @ X2 ) )
=> ~ ( ( ( ( paraco1325918602e_eval @ i @ X1 )
= ( paraco1344940915le_Det @ ~ $false ) )
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ X1 @ X2 ) )
= ( paraco1325918602e_eval @ i @ X2 ) ) )
=> ~ ( ( ( paraco1325918602e_eval @ i @ X1 )
!= ( paraco1344940915le_Det @ ~ $false ) )
=> ~ ( ( ( ( paraco1325918602e_eval @ i @ X2 )
= ( paraco1344940915le_Det @ ~ $false ) )
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ X1 @ X2 ) )
= ( paraco1325918602e_eval @ i @ X1 ) ) )
=> ~ ( ( ( paraco1325918602e_eval @ i @ X2 )
!= ( paraco1344940915le_Det @ ~ $false ) )
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ X1 @ X2 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( sP3
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
= ( paraco1325918602e_eval @ i @ p2 ) ) )
=> ~ sP6 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( sP4
=> ~ ( ( ( paraco1325918602e_eval @ i @ p2 )
!= ( paraco1344940915le_Det @ ~ $false ) )
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
= ( paraco1325918602e_eval @ i @ p1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ~ sP2
=> ~ sP8 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: paraco1604210848lle_fm] :
~ ( ( ( ( paraco1325918602e_eval @ i @ p1 )
= ( paraco1325918602e_eval @ i @ X1 ) )
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ X1 ) )
= ( paraco1325918602e_eval @ i @ p1 ) ) )
=> ~ ( ( ( paraco1325918602e_eval @ i @ p1 )
!= ( paraco1325918602e_eval @ i @ X1 ) )
=> ~ ( ( sP3
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ X1 ) )
= ( paraco1325918602e_eval @ i @ X1 ) ) )
=> ~ ( ~ sP3
=> ~ ( ( ( ( paraco1325918602e_eval @ i @ X1 )
= ( paraco1344940915le_Det @ ~ $false ) )
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ X1 ) )
= ( paraco1325918602e_eval @ i @ p1 ) ) )
=> ~ ( ( ( paraco1325918602e_eval @ i @ X1 )
!= ( paraco1344940915le_Det @ ~ $false ) )
=> ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ X1 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(conj_0,conjecture,
sP10 ).
thf(h0,negated_conjecture,
~ sP10,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(1,plain,
( ~ sP4
| ~ sP12
| sP10 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( sP9
| sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP6
| sP3
| ~ sP9 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( sP8
| sP6 ),
inference(prop_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP11
| sP2
| ~ sP8 ),
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( sP5
| sP11 ),
inference(prop_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP13
| ~ sP5 ),
inference(all_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP7
| sP13 ),
inference(all_rule,[status(thm)],[]) ).
thf(9,plain,
( ~ sP1
| sP7 ),
inference(all_rule,[status(thm)],[]) ).
thf(fact_0_a_H_H,axiom,
~ sP3 ).
thf(fact_1_a,axiom,
sP12 ).
thf(fact_2_a_H,axiom,
~ sP2 ).
thf(fact_5_eval_Osimps_I4_J,axiom,
sP1 ).
thf(10,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,fact_0_a_H_H,fact_1_a,fact_2_a_H,fact_5_eval_Osimps_I4_J,h0]) ).
thf(0,theorem,
sP10,
inference(contra,[status(thm),contra(discharge,[h0])],[10,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ITP140^1 : TPTP v9.2.0. Released v7.5.0.
% 0.13/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n014.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
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 8 18:03:08 EDT 2025
% 0.13/0.36 % CPUTime :
% 243.58/242.94 % SZS status Theorem
% 243.58/242.94 % Mode: mode451:USE_SINE=true:SINE_TOLERANCE=5.0:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=2.:SINE_DEPTH=0
% 243.58/242.94 % Inferences: 2148
% 243.58/242.94 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------