TSTP Solution File: SEV195^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV195^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n019.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 : Tue Jul 19 18:05:18 EDT 2022
% Result : Theorem 36.67s 37.25s
% Output : Proof 36.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 58 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 180 ( 32 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 239 ( 97 ~; 43 |; 2 &; 59 @)
% ( 0 <=>; 33 =>; 2 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 21 con; 0-2 aty)
% ( 3 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 46 ( 0 ^ 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(cS_LEM1D_pme,conjecture,
( ~ ( ~ ( ! [X1: a,X2: a] :
( ( cP @ X1 @ X2 )
!= cZ )
=> ~ ! [X1: a,X2: a,X3: a,X4: a] :
( ( ( cP @ X1 @ X3 )
= ( cP @ X2 @ X4 ) )
=> ~ ( ( X1 = X2 )
=> ( X3 != X4 ) ) ) )
=> ~ ! [X1: a > $o] :
( ~ ( ( X1 @ cZ )
=> ~ ! [X2: a,X3: a] :
( ~ ( ( X1 @ X2 )
=> ~ ( X1 @ X3 ) )
=> ( X1 @ ( cP @ X2 @ X3 ) ) ) )
=> ( !! @ X1 ) ) )
=> ! [X1: a] :
( ( X1 != cZ )
=> ~ ! [X2: a,X3: a] :
( X1
!= ( cP @ X2 @ X3 ) ) ) ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ~ ( ! [X1: a,X2: a] :
( ( cP @ X1 @ X2 )
!= cZ )
=> ~ ! [X1: a,X2: a,X3: a,X4: a] :
( ( ( cP @ X1 @ X3 )
= ( cP @ X2 @ X4 ) )
=> ~ ( ( X1 = X2 )
=> ( X3 != X4 ) ) ) )
=> ~ ! [X1: a > $o] :
( ~ ( ( X1 @ cZ )
=> ~ ! [X2: a,X3: a] :
( ~ ( ( X1 @ X2 )
=> ~ ( X1 @ X3 ) )
=> ( X1 @ ( cP @ X2 @ X3 ) ) ) )
=> ( !! @ X1 ) ) )
=> ! [X1: a] :
( ( X1 != cZ )
=> ~ ! [X2: a,X3: a] :
( X1
!= ( cP @ X2 @ X3 ) ) ) ),
inference(assume_negation,[status(cth)],[cS_LEM1D_pme]) ).
thf(ax1375,axiom,
( p1
| ~ p3 ),
file('<stdin>',ax1375) ).
thf(ax1377,axiom,
~ p1,
file('<stdin>',ax1377) ).
thf(ax1376,axiom,
( p1
| ~ p2 ),
file('<stdin>',ax1376) ).
thf(ax1372,axiom,
( p3
| ~ p6 ),
file('<stdin>',ax1372) ).
thf(nax223,axiom,
( p223
<= ( f__0 = f__0 ) ),
file('<stdin>',nax223) ).
thf(ax1366,axiom,
( p6
| ~ p13 ),
file('<stdin>',ax1366) ).
thf(ax1350,axiom,
( ~ p5
| p28 ),
file('<stdin>',ax1350) ).
thf(ax1373,axiom,
( p2
| p5 ),
file('<stdin>',ax1373) ).
thf(ax533,axiom,
( ~ p52
| ~ p223 ),
file('<stdin>',ax533) ).
thf(ax539,axiom,
( ~ p51
| p13
| ~ p740 ),
file('<stdin>',ax539) ).
thf(ax1330,axiom,
( ~ p28
| p51
| p52 ),
file('<stdin>',ax1330) ).
thf(pax14,axiom,
( p14
=> ! [X1: a,X2: a] :
( f__0
!= ( fcP @ X1 @ X2 ) ) ),
file('<stdin>',pax14) ).
thf(ax1365,axiom,
( p6
| p14 ),
file('<stdin>',ax1365) ).
thf(nax740,axiom,
( p740
<= ! [X1: a,X2: a] :
( ~ ( ( f__0 != X1 )
=> ( f__0 = X2 ) )
=> ( f__0
!= ( fcP @ X1 @ X2 ) ) ) ),
file('<stdin>',nax740) ).
thf(c_0_14,plain,
( p1
| ~ p3 ),
inference(fof_simplification,[status(thm)],[ax1375]) ).
thf(c_0_15,plain,
~ p1,
inference(fof_simplification,[status(thm)],[ax1377]) ).
thf(c_0_16,plain,
( p1
| ~ p2 ),
inference(fof_simplification,[status(thm)],[ax1376]) ).
thf(c_0_17,plain,
( p3
| ~ p6 ),
inference(fof_simplification,[status(thm)],[ax1372]) ).
thf(c_0_18,plain,
( p1
| ~ p3 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_19,plain,
~ p1,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_20,plain,
( p1
| ~ p2 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_21,plain,
( ( f__0 != f__0 )
| p223 ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax223])]) ).
thf(c_0_22,plain,
( p6
| ~ p13 ),
inference(fof_simplification,[status(thm)],[ax1366]) ).
thf(c_0_23,plain,
( p3
| ~ p6 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_24,plain,
~ p3,
inference(sr,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_25,plain,
( ~ p5
| p28 ),
inference(fof_simplification,[status(thm)],[ax1350]) ).
thf(c_0_26,plain,
( p2
| p5 ),
inference(split_conjunct,[status(thm)],[ax1373]) ).
thf(c_0_27,plain,
~ p2,
inference(sr,[status(thm)],[c_0_20,c_0_19]) ).
thf(c_0_28,plain,
( ~ p52
| ~ p223 ),
inference(fof_simplification,[status(thm)],[ax533]) ).
thf(c_0_29,plain,
( p223
| ( f__0 != f__0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_30,plain,
( ~ p51
| p13
| ~ p740 ),
inference(fof_simplification,[status(thm)],[ax539]) ).
thf(c_0_31,plain,
( p6
| ~ p13 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_32,plain,
~ p6,
inference(sr,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_33,plain,
( ~ p28
| p51
| p52 ),
inference(fof_simplification,[status(thm)],[ax1330]) ).
thf(c_0_34,plain,
( p28
| ~ p5 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_35,plain,
p5,
inference(sr,[status(thm)],[c_0_26,c_0_27]) ).
thf(c_0_36,plain,
( ~ p52
| ~ p223 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_37,plain,
p223,
inference(cn,[status(thm)],[c_0_29]) ).
thf(c_0_38,plain,
! [X3516: a,X3517: a] :
( ~ p14
| ( f__0
!= ( fcP @ X3516 @ X3517 ) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax14])])])]) ).
thf(c_0_39,plain,
( p6
| p14 ),
inference(split_conjunct,[status(thm)],[ax1365]) ).
thf(c_0_40,plain,
( p13
| ~ p51
| ~ p740 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_41,plain,
~ p13,
inference(sr,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_42,plain,
( p51
| p52
| ~ p28 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_43,plain,
p28,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
thf(c_0_44,plain,
~ p52,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).
thf(c_0_45,plain,
( ( ( f__0 != esk438_0 )
| p740 )
& ( ( f__0 != esk439_0 )
| p740 )
& ( ( f__0
= ( fcP @ esk438_0 @ esk439_0 ) )
| p740 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax740])])])])]) ).
thf(c_0_46,plain,
! [X1: a,X2: a] :
( ~ p14
| ( f__0
!= ( fcP @ X1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
thf(c_0_47,plain,
p14,
inference(sr,[status(thm)],[c_0_39,c_0_32]) ).
thf(c_0_48,plain,
( ~ p51
| ~ p740 ),
inference(sr,[status(thm)],[c_0_40,c_0_41]) ).
thf(c_0_49,plain,
p51,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]),c_0_44]) ).
thf(c_0_50,plain,
( ( f__0
= ( fcP @ esk438_0 @ esk439_0 ) )
| p740 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_51,plain,
! [X1: a,X2: a] :
( ( fcP @ X1 @ X2 )
!= f__0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).
thf(c_0_52,plain,
~ p740,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]) ).
thf(c_0_53,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_50,c_0_51]),c_0_52]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h0])],]) ).
thf(0,theorem,
( ~ ( ~ ( ! [X1: a,X2: a] :
( ( cP @ X1 @ X2 )
!= cZ )
=> ~ ! [X1: a,X2: a,X3: a,X4: a] :
( ( ( cP @ X1 @ X3 )
= ( cP @ X2 @ X4 ) )
=> ~ ( ( X1 = X2 )
=> ( X3 != X4 ) ) ) )
=> ~ ! [X1: a > $o] :
( ~ ( ( X1 @ cZ )
=> ~ ! [X2: a,X3: a] :
( ~ ( ( X1 @ X2 )
=> ~ ( X1 @ X3 ) )
=> ( X1 @ ( cP @ X2 @ X3 ) ) ) )
=> ( !! @ X1 ) ) )
=> ! [X1: a] :
( ( X1 != cZ )
=> ~ ! [X2: a,X3: a] :
( X1
!= ( cP @ X2 @ X3 ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV195^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 27 21:50:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 36.67/37.25 % SZS status Theorem
% 36.67/37.25 % Mode: mode485
% 36.67/37.25 % Inferences: 54
% 36.67/37.25 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------