TSTP Solution File: CSR128^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : CSR128^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n017.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 : Fri Jul 15 21:37:18 EDT 2022
% Result : Theorem 0.36s 0.58s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 87 ( 22 unt; 8 typ; 0 def)
% Number of atoms : 656 ( 230 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 613 ( 12 ~; 123 |; 0 &; 475 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 146 ( 0 ^ 138 !; 8 ?; 146 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(tp_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(tp_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(tp_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(tp_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(1,axiom,
! [X: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(2,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(3,conjecture,
? [T: $i,Z: $i] : ( holdsDuring_THFTYPE_IiooI @ T @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(4,negated_conjecture,
( ( ? [T: $i,Z: $i] : ( holdsDuring_THFTYPE_IiooI @ T @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Z ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ? [T: $i,Z: $i] : ( holdsDuring_THFTYPE_IiooI @ T @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Z ) ) )
= $false ),
inference(unfold_def,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [X: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(8,plain,
( ( ~ ? [T: $i,Z: $i] : ( holdsDuring_THFTYPE_IiooI @ T @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Z ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(9,plain,
( ( ! [T: $i,Z: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ T @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [X: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(12,plain,
( ( ! [T: $i,Z: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ T @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ! [SX0: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: $i] :
( ( ! [SY3: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SY3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV2: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV2 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV3: $i,SV1: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV3: $i,SV1: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV3 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(18,plain,
! [SV4: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV4 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV4 ) ) )
= $true ),
inference(rename,[status(thm)],[15]) ).
thf(19,plain,
! [SV5: $i,SV6: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 ) )
= $false ),
inference(rename,[status(thm)],[17]) ).
thf(20,plain,
! [SV5: $i,SV6: $i,SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV4 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV4 ) ) ) )
= $false ),
inference(res,[status(thm)],[19,18]) ).
thf(21,plain,
! [SV5: $i,SV6: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $false ),
inference(res,[status(thm)],[19,10]) ).
thf(22,plain,
( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ),
inference(extuni,[status(esa)],[21:[bind(SV5,$thf( lBill_THFTYPE_i )),bind(SV6,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(23,plain,
! [SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[21:[bind(SV6,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(24,plain,
! [SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[21:[bind(SV6,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(25,plain,
! [SV4: $i,SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
= $true )
| ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV4 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV4 ) )
= $true ) ),
inference(extuni,[status(esa)],[20:[bind(SV6,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(26,plain,
! [SV4: $i,SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
= $false )
| ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV4 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV4 ) )
= $false ) ),
inference(extuni,[status(esa)],[20:[bind(SV6,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(28,plain,
! [SV5: $i,SV4: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV4 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV4 ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV4 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(31,plain,
! [SV5: $i,SV4: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV4 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV4 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV7: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(rename,[status(thm)],[23]) ).
thf(39,plain,
! [SV7: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ) ),
inference(fac_restr,[status(thm)],[34]) ).
thf(40,plain,
( ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[39:[bind(SV7,$thf( lBill_THFTYPE_i ))]]) ).
thf(41,plain,
! [SV8: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(rename,[status(thm)],[24]) ).
thf(42,plain,
! [SV8: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
= $true ) ),
inference(res,[status(thm)],[41,34]) ).
thf(43,plain,
! [SV8: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
= $true ) ),
inference(res,[status(thm)],[41,34]) ).
thf(44,plain,
! [SV8: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(res,[status(thm)],[41,34]) ).
thf(50,plain,
! [SV8: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ) ),
inference(fac_restr,[status(thm)],[41]) ).
thf(52,plain,
! [SV8: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false )
| ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[44:[bind(SV7,$thf( lBill_THFTYPE_i ))]]) ).
thf(53,plain,
! [SV7: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[43:[bind(SV8,$thf( lBill_THFTYPE_i ))]]) ).
thf(54,plain,
! [SV8: $i,SV7: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[42]) ).
thf(55,plain,
( ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[50:[bind(SV8,$thf( lBill_THFTYPE_i ))]]) ).
thf(56,plain,
! [SV9: $i,SV10: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
= $false ) ),
inference(rename,[status(thm)],[28]) ).
thf(57,plain,
! [SV9: $i,SV10: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
= $true ) ),
inference(res,[status(thm)],[56,34]) ).
thf(58,plain,
! [SV9: $i,SV10: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
= $true ) ),
inference(res,[status(thm)],[56,34]) ).
thf(59,plain,
! [SV9: $i,SV10: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(res,[status(thm)],[56,34]) ).
thf(60,plain,
! [SV9: $i,SV10: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(res,[status(thm)],[56,34]) ).
thf(65,plain,
! [SV9: $i,SV10: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
= $false )
| ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[56]) ).
thf(66,plain,
! [SV9: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
= $false ) ),
inference(extuni,[status(esa)],[60:[bind(SV10,$thf( SV7 ))]]) ).
thf(67,plain,
! [SV10: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= $false ) ),
inference(extuni,[status(esa)],[59:[bind(SV9,$thf( SV7 ))]]) ).
thf(68,plain,
! [SV9: $i,SV7: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[58:[bind(SV10,$thf( lBill_THFTYPE_i ))]]) ).
thf(69,plain,
! [SV10: $i,SV7: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[57:[bind(SV9,$thf( lBill_THFTYPE_i ))]]) ).
thf(70,plain,
! [SV9: $i] :
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
= $false ),
inference(extuni,[status(esa)],[65:[bind(SV10,$thf( SV9 ))]]) ).
thf(72,plain,
! [SV13: $i,SV14: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true ) ),
inference(rename,[status(thm)],[31]) ).
thf(73,plain,
! [SV13: $i,SV14: $i,SV13: $i,SV14: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true ) ),
inference(res,[status(thm)],[72,72]) ).
thf(74,plain,
! [SV13: $i,SV14: $i,SV13: $i,SV14: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true ) ),
inference(res,[status(thm)],[72,72]) ).
thf(75,plain,
! [SV13: $i,SV14: $i,SV13: $i,SV14: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true ) ),
inference(res,[status(thm)],[72,72]) ).
thf(76,plain,
! [SV13: $i,SV14: $i,SV13: $i,SV14: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true ) ),
inference(res,[status(thm)],[72,72]) ).
thf(77,plain,
! [SV13: $i,SV14: $i,SV9: $i,SV10: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= $false ) ),
inference(res,[status(thm)],[72,56]) ).
thf(78,plain,
! [SV13: $i,SV14: $i,SV9: $i,SV10: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= $false ) ),
inference(res,[status(thm)],[72,56]) ).
thf(79,plain,
! [SV13: $i,SV14: $i,SV9: $i,SV10: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
= $false ) ),
inference(res,[status(thm)],[72,56]) ).
thf(80,plain,
! [SV13: $i,SV14: $i,SV9: $i,SV10: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
= $false ) ),
inference(res,[status(thm)],[72,56]) ).
thf(81,plain,
! [SV13: $i,SV14: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
= $true ) ),
inference(res,[status(thm)],[72,34]) ).
thf(82,plain,
! [SV13: $i,SV14: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(res,[status(thm)],[72,34]) ).
thf(89,plain,
! [SV7: $i,SV13: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
= $true )
| ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[82:[bind(SV14,$thf( SV7 ))]]) ).
thf(90,plain,
! [SV13: $i,SV7: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[81:[bind(SV14,$thf( lBill_THFTYPE_i ))]]) ).
thf(91,plain,
! [SV10: $i,SV13: $i,SV9: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV10 )
= $false ) ),
inference(extuni,[status(esa)],[80:[bind(SV14,$thf( SV10 ))]]) ).
thf(92,plain,
! [SV14: $i,SV9: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[79:[bind(SV13,$thf( SV10 ))]]) ).
thf(93,plain,
! [SV9: $i,SV13: $i,SV10: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV9 )
= $false ) ),
inference(extuni,[status(esa)],[78:[bind(SV14,$thf( SV9 ))]]) ).
thf(94,plain,
! [SV14: $i,SV10: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[77:[bind(SV13,$thf( SV9 ))]]) ).
thf(95,plain,
! [SV14: $i,SV13: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[76]) ).
thf(96,plain,
! [SV14: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[75:[bind(SV13,$thf( SV14 ))]]) ).
thf(97,plain,
! [SV14: $i,SV13: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[74]) ).
thf(98,plain,
! [SV13: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV13 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV14,$thf( SV13 ))]]) ).
thf(99,plain,
! [SV14: $i,SV13: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[95]) ).
thf(100,plain,
! [SV14: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[96]) ).
thf(101,plain,
! [SV14: $i,SV13: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV14 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV14 )
= $true )
| ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[97]) ).
thf(102,plain,
! [SV13: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV13 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV13 )
= $false )
| ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[98]) ).
thf(103,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,102,101,100,99,94,93,92,91,90,89,72,70,69,68,67,66,56,55,54,53,52,40,34,22,19,18]) ).
thf(104,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR128^1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n017.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 : Sat Jun 11 07:47:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 2
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.36/0.58
% 0.36/0.58 ********************************
% 0.36/0.58 * All subproblems solved! *
% 0.36/0.58 ********************************
% 0.36/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:103,loop_count:10,foatp_calls:2,translation:fof_full)
% 0.36/0.58
% 0.36/0.58 %**** Beginning of derivation protocol ****
% 0.36/0.58 % SZS output start CNFRefutation
% See solution above
% 0.36/0.58
% 0.36/0.58 %**** End of derivation protocol ****
% 0.36/0.58 %**** no. of clauses in derivation: 79 ****
% 0.36/0.58 %**** clause counter: 103 ****
% 0.36/0.58
% 0.36/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:103,loop_count:10,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------