TSTP Solution File: ITP074^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP074^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n018.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 : 600s
% DateTime : Sun Jul 17 00:29:00 EDT 2022
% Result : Theorem 46.96s 46.36s
% Output : Proof 46.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 63 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 168 ( 13 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 145 ( 52 ~; 46 |; 0 &; 44 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 25 con; 0-2 aty)
% Number of variables : 11 ( 0 ^ 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(conj_0,conjecture,
( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf ).
thf(h0,negated_conjecture,
( ( hF_Mirabelle_hpair @ x @ y )
= zero_z189798548lle_hf ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(ax1735,axiom,
( ~ p131
| p130 ),
file('<stdin>',ax1735) ).
thf(ax1737,axiom,
( ~ p7
| p124 ),
file('<stdin>',ax1737) ).
thf(ax1734,axiom,
( ~ p130
| p129 ),
file('<stdin>',ax1734) ).
thf(ax1736,axiom,
p131,
file('<stdin>',ax1736) ).
thf(ax1730,axiom,
( ~ p124
| p126 ),
file('<stdin>',ax1730) ).
thf(ax1856,axiom,
p7,
file('<stdin>',ax1856) ).
thf(ax1733,axiom,
( ~ p129
| ~ p1
| p128 ),
file('<stdin>',ax1733) ).
thf(ax1731,axiom,
( ~ p127
| ~ p126
| p125 ),
file('<stdin>',ax1731) ).
thf(ax1732,axiom,
( ~ p128
| p127 ),
file('<stdin>',ax1732) ).
thf(ax1862,axiom,
p1,
file('<stdin>',ax1862) ).
thf(ax1657,axiom,
( ~ p172
| p203 ),
file('<stdin>',ax1657) ).
thf(ax1656,axiom,
( ~ p203
| p202 ),
file('<stdin>',ax1656) ).
thf(ax1692,axiom,
p172,
file('<stdin>',ax1692) ).
thf(ax1655,axiom,
( ~ p202
| ~ p125
| p201 ),
file('<stdin>',ax1655) ).
thf(pax11,axiom,
( p11
=> ! [X96: hF_Mirabelle_hf,X88: hF_Mirabelle_hf] :
( ( fhF_Mirabelle_hinsert @ X96 @ X88 )
!= fzero_z189798548lle_hf ) ),
file('<stdin>',pax11) ).
thf(pax201,axiom,
( p201
=> ! [X70: hF_Mirabelle_hf] :
( ( X70
= ( fhF_Mirabelle_hinsert @ ( fhF_Mirabelle_hinsert @ fx @ fzero_z189798548lle_hf ) @ ( fhF_Mirabelle_hinsert @ ( fhF_Mirabelle_hinsert @ fx @ ( fhF_Mirabelle_hinsert @ fy @ fzero_z189798548lle_hf ) ) @ fzero_z189798548lle_hf ) ) )
=> ( X70 = fzero_z189798548lle_hf ) ) ),
file('<stdin>',pax201) ).
thf(ax1852,axiom,
p11,
file('<stdin>',ax1852) ).
thf(c_0_17,plain,
( ~ p131
| p130 ),
inference(fof_simplification,[status(thm)],[ax1735]) ).
thf(c_0_18,plain,
( ~ p7
| p124 ),
inference(fof_simplification,[status(thm)],[ax1737]) ).
thf(c_0_19,plain,
( ~ p130
| p129 ),
inference(fof_simplification,[status(thm)],[ax1734]) ).
thf(c_0_20,plain,
( p130
| ~ p131 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_21,plain,
p131,
inference(split_conjunct,[status(thm)],[ax1736]) ).
thf(c_0_22,plain,
( ~ p124
| p126 ),
inference(fof_simplification,[status(thm)],[ax1730]) ).
thf(c_0_23,plain,
( p124
| ~ p7 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_24,plain,
p7,
inference(split_conjunct,[status(thm)],[ax1856]) ).
thf(c_0_25,plain,
( ~ p129
| ~ p1
| p128 ),
inference(fof_simplification,[status(thm)],[ax1733]) ).
thf(c_0_26,plain,
( p129
| ~ p130 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_27,plain,
p130,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
thf(c_0_28,plain,
( ~ p127
| ~ p126
| p125 ),
inference(fof_simplification,[status(thm)],[ax1731]) ).
thf(c_0_29,plain,
( p126
| ~ p124 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_30,plain,
p124,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).
thf(c_0_31,plain,
( ~ p128
| p127 ),
inference(fof_simplification,[status(thm)],[ax1732]) ).
thf(c_0_32,plain,
( p128
| ~ p129
| ~ p1 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_33,plain,
p1,
inference(split_conjunct,[status(thm)],[ax1862]) ).
thf(c_0_34,plain,
p129,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).
thf(c_0_35,plain,
( ~ p172
| p203 ),
inference(fof_simplification,[status(thm)],[ax1657]) ).
thf(c_0_36,plain,
( p125
| ~ p127
| ~ p126 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_37,plain,
p126,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
thf(c_0_38,plain,
( p127
| ~ p128 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_39,plain,
p128,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
thf(c_0_40,plain,
( ~ p203
| p202 ),
inference(fof_simplification,[status(thm)],[ax1656]) ).
thf(c_0_41,plain,
( p203
| ~ p172 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
thf(c_0_42,plain,
p172,
inference(split_conjunct,[status(thm)],[ax1692]) ).
thf(c_0_43,plain,
( ~ p202
| ~ p125
| p201 ),
inference(fof_simplification,[status(thm)],[ax1655]) ).
thf(c_0_44,plain,
( p125
| ~ p127 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).
thf(c_0_45,plain,
p127,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).
thf(c_0_46,plain,
( p202
| ~ p203 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
thf(c_0_47,plain,
p203,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
thf(c_0_48,plain,
! [X1177: hF_Mirabelle_hf,X1178: hF_Mirabelle_hf] :
( ~ p11
| ( ( fhF_Mirabelle_hinsert @ X1177 @ X1178 )
!= fzero_z189798548lle_hf ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax11])])])]) ).
thf(c_0_49,plain,
! [X725: hF_Mirabelle_hf] :
( ~ p201
| ( X725
!= ( fhF_Mirabelle_hinsert @ ( fhF_Mirabelle_hinsert @ fx @ fzero_z189798548lle_hf ) @ ( fhF_Mirabelle_hinsert @ ( fhF_Mirabelle_hinsert @ fx @ ( fhF_Mirabelle_hinsert @ fy @ fzero_z189798548lle_hf ) ) @ fzero_z189798548lle_hf ) ) )
| ( X725 = fzero_z189798548lle_hf ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax201])])]) ).
thf(c_0_50,plain,
( p201
| ~ p202
| ~ p125 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
thf(c_0_51,plain,
p125,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).
thf(c_0_52,plain,
p202,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).
thf(c_0_53,plain,
! [X1: hF_Mirabelle_hf,X3: hF_Mirabelle_hf] :
( ~ p11
| ( ( fhF_Mirabelle_hinsert @ X1 @ X3 )
!= fzero_z189798548lle_hf ) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
thf(c_0_54,plain,
p11,
inference(split_conjunct,[status(thm)],[ax1852]) ).
thf(c_0_55,plain,
! [X1: hF_Mirabelle_hf] :
( ( X1 = fzero_z189798548lle_hf )
| ~ p201
| ( X1
!= ( fhF_Mirabelle_hinsert @ ( fhF_Mirabelle_hinsert @ fx @ fzero_z189798548lle_hf ) @ ( fhF_Mirabelle_hinsert @ ( fhF_Mirabelle_hinsert @ fx @ ( fhF_Mirabelle_hinsert @ fy @ fzero_z189798548lle_hf ) ) @ fzero_z189798548lle_hf ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
thf(c_0_56,plain,
p201,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
thf(c_0_57,plain,
! [X1: hF_Mirabelle_hf,X3: hF_Mirabelle_hf] :
( ( fhF_Mirabelle_hinsert @ X1 @ X3 )
!= fzero_z189798548lle_hf ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).
thf(c_0_58,plain,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])])]),c_0_57]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h0])],]) ).
thf(0,theorem,
( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf,
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP074^1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.33 % Computer : n018.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Fri Jun 3 21:27:02 EDT 2022
% 0.14/0.34 % CPUTime :
% 46.96/46.36 % SZS status Theorem
% 46.96/46.36 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 46.96/46.36 % Inferences: 895
% 46.96/46.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------