TSTP Solution File: ITP124^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP124^1 : 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 00:29:11 EDT 2022
% Result : Theorem 3.19s 3.46s
% Output : Proof 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 42 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 224 ( 27 equ; 0 cnn)
% Maximal formula atoms : 2 ( 5 avg)
% Number of connectives : 261 ( 17 ~; 12 |; 0 &; 226 @)
% ( 0 <=>; 5 =>; 1 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 20 con; 0-2 aty)
% Number of variables : 52 ( 0 ^ 52 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(conj_0,conjecture,
( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) ).
thf(h0,negated_conjecture,
( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
!= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(pax1,axiom,
( p1
=> ! [X14: a,X6: a,X4: a] :
( ( finf @ ( finf @ X14 @ X6 ) @ X4 )
= ( finf @ X14 @ ( finf @ X6 @ X4 ) ) ) ),
file('<stdin>',pax1) ).
thf(nax76,axiom,
( p76
<= ( ( fmodula1144073633_aux_a @ finf @ fsup @ fb @ fc @ fa2 )
= ( fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc ) ) ),
file('<stdin>',nax76) ).
thf(ax0,axiom,
~ p76,
file('<stdin>',ax0) ).
thf(pax9,axiom,
( p9
=> ! [X14: a,X6: a,X4: a] :
( ( fmodula1144073633_aux_a @ finf @ fsup @ X14 @ X6 @ X4 )
= ( finf @ ( finf @ ( fsup @ X14 @ X6 ) @ ( fsup @ X6 @ X4 ) ) @ ( fsup @ X4 @ X14 ) ) ) ),
file('<stdin>',pax9) ).
thf(ax75,axiom,
p1,
file('<stdin>',ax75) ).
thf(pax5,axiom,
( p5
=> ! [X14: a,X6: a] :
( ( fsup @ X14 @ X6 )
= ( fsup @ X6 @ X14 ) ) ),
file('<stdin>',pax5) ).
thf(pax3,axiom,
( p3
=> ! [X14: a,X6: a,X4: a] :
( ( finf @ X14 @ ( finf @ X6 @ X4 ) )
= ( finf @ X6 @ ( finf @ X14 @ X4 ) ) ) ),
file('<stdin>',pax3) ).
thf(pax2,axiom,
( p2
=> ! [X14: a,X6: a] :
( ( finf @ X14 @ X6 )
= ( finf @ X6 @ X14 ) ) ),
file('<stdin>',pax2) ).
thf(ax67,axiom,
p9,
file('<stdin>',ax67) ).
thf(ax71,axiom,
p5,
file('<stdin>',ax71) ).
thf(ax73,axiom,
p3,
file('<stdin>',ax73) ).
thf(ax74,axiom,
p2,
file('<stdin>',ax74) ).
thf(c_0_12,plain,
! [X363: a,X364: a,X365: a] :
( ~ p1
| ( ( finf @ ( finf @ X363 @ X364 ) @ X365 )
= ( finf @ X363 @ ( finf @ X364 @ X365 ) ) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1])])]) ).
thf(c_0_13,plain,
( ( ( fmodula1144073633_aux_a @ finf @ fsup @ fb @ fc @ fa2 )
!= ( fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc ) )
| p76 ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax76])]) ).
thf(c_0_14,plain,
~ p76,
inference(fof_simplification,[status(thm)],[ax0]) ).
thf(c_0_15,plain,
! [X307: a,X308: a,X309: a] :
( ~ p9
| ( ( fmodula1144073633_aux_a @ finf @ fsup @ X307 @ X308 @ X309 )
= ( finf @ ( finf @ ( fsup @ X307 @ X308 ) @ ( fsup @ X308 @ X309 ) ) @ ( fsup @ X309 @ X307 ) ) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax9])])]) ).
thf(c_0_16,plain,
! [X1: a,X2: a,X4: a] :
( ( ( finf @ ( finf @ X1 @ X2 ) @ X4 )
= ( finf @ X1 @ ( finf @ X2 @ X4 ) ) )
| ~ p1 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,plain,
p1,
inference(split_conjunct,[status(thm)],[ax75]) ).
thf(c_0_18,plain,
! [X343: a,X344: a] :
( ~ p5
| ( ( fsup @ X343 @ X344 )
= ( fsup @ X344 @ X343 ) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax5])])]) ).
thf(c_0_19,plain,
! [X353: a,X354: a,X355: a] :
( ~ p3
| ( ( finf @ X353 @ ( finf @ X354 @ X355 ) )
= ( finf @ X354 @ ( finf @ X353 @ X355 ) ) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax3])])]) ).
thf(c_0_20,plain,
! [X359: a,X360: a] :
( ~ p2
| ( ( finf @ X359 @ X360 )
= ( finf @ X360 @ X359 ) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])]) ).
thf(c_0_21,plain,
( p76
| ( ( fmodula1144073633_aux_a @ finf @ fsup @ fb @ fc @ fa2 )
!= ( fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc ) ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_22,plain,
~ p76,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_23,plain,
! [X4: a,X2: a,X1: a] :
( ( ( fmodula1144073633_aux_a @ finf @ fsup @ X1 @ X2 @ X4 )
= ( finf @ ( finf @ ( fsup @ X1 @ X2 ) @ ( fsup @ X2 @ X4 ) ) @ ( fsup @ X4 @ X1 ) ) )
| ~ p9 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_24,plain,
! [X1: a,X2: a,X4: a] :
( ( finf @ ( finf @ X1 @ X2 ) @ X4 )
= ( finf @ X1 @ ( finf @ X2 @ X4 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
thf(c_0_25,plain,
p9,
inference(split_conjunct,[status(thm)],[ax67]) ).
thf(c_0_26,plain,
! [X2: a,X1: a] :
( ( ( fsup @ X1 @ X2 )
= ( fsup @ X2 @ X1 ) )
| ~ p5 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_27,plain,
p5,
inference(split_conjunct,[status(thm)],[ax71]) ).
thf(c_0_28,plain,
! [X1: a,X2: a,X4: a] :
( ( ( finf @ X1 @ ( finf @ X2 @ X4 ) )
= ( finf @ X2 @ ( finf @ X1 @ X4 ) ) )
| ~ p3 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_29,plain,
p3,
inference(split_conjunct,[status(thm)],[ax73]) ).
thf(c_0_30,plain,
! [X2: a,X1: a] :
( ( ( finf @ X1 @ X2 )
= ( finf @ X2 @ X1 ) )
| ~ p2 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_31,plain,
p2,
inference(split_conjunct,[status(thm)],[ax74]) ).
thf(c_0_32,plain,
( fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc )
!= ( fmodula1144073633_aux_a @ finf @ fsup @ fb @ fc @ fa2 ),
inference(sr,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_33,plain,
! [X4: a,X2: a,X1: a] :
( ( fmodula1144073633_aux_a @ finf @ fsup @ X1 @ X2 @ X4 )
= ( finf @ ( fsup @ X1 @ X2 ) @ ( finf @ ( fsup @ X2 @ X4 ) @ ( fsup @ X4 @ X1 ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
thf(c_0_34,plain,
! [X2: a,X1: a] :
( ( fsup @ X1 @ X2 )
= ( fsup @ X2 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).
thf(c_0_35,plain,
! [X1: a,X2: a,X4: a] :
( ( finf @ X1 @ ( finf @ X2 @ X4 ) )
= ( finf @ X2 @ ( finf @ X1 @ X4 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).
thf(c_0_36,plain,
! [X2: a,X1: a] :
( ( finf @ X1 @ X2 )
= ( finf @ X2 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
thf(c_0_37,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]),c_0_33]),c_0_34]),c_0_36])]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h0])],]) ).
thf(0,theorem,
( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP124^1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 2 17:00:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.19/3.46 % SZS status Theorem
% 3.19/3.46 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 3.19/3.46 % Inferences: 1
% 3.19/3.46 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------