TSTP Solution File: SYO224^5 by Leo-III---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO224^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 : Tue May 21 08:56:10 EDT 2024
% Result : Theorem 47.09s 8.73s
% Output : Refutation 47.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 11
% Syntax : Number of formulae : 266 ( 5 unt; 10 typ; 0 def)
% Number of atoms : 1077 ( 276 equ; 0 cnn)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 2127 ( 398 ~; 505 |; 84 &;1131 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 49 ( 49 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 247 ( 135 ^ 86 !; 26 ?; 247 :)
% Comments :
%------------------------------------------------------------------------------
thf(cJ_type,type,
cJ: $i ).
thf(cLIKE_type,type,
cLIKE: $i > $i > $o ).
thf(cWRH_type,type,
cWRH: $i > $o ).
thf(cW_type,type,
cW: $i > $o ).
thf(cUNIQUE_type,type,
cUNIQUE: $i > $o ).
thf(cS_type,type,
cS: $i ).
thf(cP_type,type,
cP: $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: ( $i > $o ) > $i ).
thf(sk3_type,type,
sk3: ( $i > $o ) > $i ).
thf(1,conjecture,
( ( ! [A: $i] :
( ( cUNIQUE @ A )
=> ! [B: $i] :
( ( ( cWRH @ B )
& ( cW @ B ) )
=> ( A = B ) ) )
& ( cUNIQUE @ cS )
& ( cW @ cS )
& ( cWRH @ cS ) )
=> ? [A: $i > $o] :
( ( ( A @ cP )
= ( cLIKE @ cP @ cS ) )
& ( ( A @ cJ )
= ( ? [B: $i] :
( ( cUNIQUE @ B )
& ( cW @ B )
& ( cWRH @ B )
& ( cLIKE @ cJ @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cLING1) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] :
( ( cUNIQUE @ A )
=> ! [B: $i] :
( ( ( cWRH @ B )
& ( cW @ B ) )
=> ( A = B ) ) )
& ( cUNIQUE @ cS )
& ( cW @ cS )
& ( cWRH @ cS ) )
=> ? [A: $i > $o] :
( ( ( A @ cP )
= ( cLIKE @ cP @ cS ) )
& ( ( A @ cJ )
= ( ? [B: $i] :
( ( cUNIQUE @ B )
& ( cW @ B )
& ( cWRH @ B )
& ( cLIKE @ cJ @ B ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $i] :
( ( cUNIQUE @ A )
=> ! [B: $i] :
( ( ( cWRH @ B )
& ( cW @ B ) )
=> ( A = B ) ) )
& ( cUNIQUE @ cS )
& ( cW @ cS )
& ( cWRH @ cS ) )
=> ? [A: $i > $o] :
( ( ( A @ cP )
= ( cLIKE @ cP @ cS ) )
& ( ( A @ cJ )
= ( ? [B: $i] :
( ( cUNIQUE @ B )
& ( cW @ B )
& ( cWRH @ B )
& ( cLIKE @ cJ @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
cWRH @ cS,
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
! [A: $i > $o] :
( ( ( A @ cP )
!= ( cLIKE @ cP @ cS ) )
| ( ( A @ cJ )
!= ( ? [B: $i] :
( ( cUNIQUE @ B )
& ( cW @ B )
& ( cWRH @ B )
& ( cLIKE @ cJ @ B ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [A: $i > $o] :
( ( ( A @ cP )
!= ( cLIKE @ cP @ cS ) )
| ( ( A @ cJ )
!= ( ? [B: $i] :
( ( cUNIQUE @ B )
& ( cW @ B )
& ( cWRH @ B )
& ( cLIKE @ cJ @ B ) ) ) ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(10,plain,
! [A: $i > $o] :
( ( ( A @ cP )
!= ( cLIKE @ cP @ cS ) )
| ( ( A @ cJ )
!= ( ? [B: $i] :
( ( cUNIQUE @ B )
& ( cW @ B )
& ( cWRH @ B )
& ( cLIKE @ cJ @ B ) ) ) ) ),
inference(simp,[status(thm)],[9]) ).
thf(14,plain,
! [A: $i > $o] :
( ~ ( A @ cP )
| ~ ( cLIKE @ cP @ cS )
| ( A @ cJ )
| ? [B: $i] :
( ( cUNIQUE @ B )
& ( cW @ B )
& ( cWRH @ B )
& ( cLIKE @ cJ @ B ) ) ),
inference(bool_ext,[status(thm)],[10]) ).
thf(23,plain,
( ( cP != cP )
| ~ ( cLIKE @ cP @ cS )
| ( cP = cJ )
| ? [A: $i] :
( ( cUNIQUE @ A )
& ( cW @ A )
& ( cWRH @ A )
& ( cLIKE @ cJ @ A ) ) ),
inference(replace_leibeq,[status(thm)],[14:[bind(A,$thf( (=) @ $i @ cP ))]]) ).
thf(26,plain,
( ( cP != cP )
| ( cP = cJ )
| ~ ( cLIKE @ cP @ cS )
| ? [A: $i] :
( ( cUNIQUE @ A )
& ( cW @ A )
& ( cWRH @ A )
& ( cLIKE @ cJ @ A ) ) ),
inference(lifteq,[status(thm)],[23]) ).
thf(33,plain,
( ? [A: $i] :
( ( cUNIQUE @ A )
& ( cW @ A )
& ( cWRH @ A )
& ( cLIKE @ cJ @ A ) )
| ~ ( cLIKE @ cP @ cS )
| ( cP = cJ ) ),
inference(pattern_uni,[status(thm)],[26:[]]) ).
thf(37,plain,
( ( cP = cJ )
| ~ ( cLIKE @ cP @ cS )
| ( cW @ sk1 ) ),
inference(cnf,[status(esa)],[33]) ).
thf(15,plain,
! [A: $i > $o] :
( ( A @ cP )
| ( cLIKE @ cP @ cS )
| ( A @ cJ )
| ? [B: $i] :
( ( cUNIQUE @ B )
& ( cW @ B )
& ( cWRH @ B )
& ( cLIKE @ cJ @ B ) ) ),
inference(bool_ext,[status(thm)],[10]) ).
thf(49,plain,
! [A: $i > $o] :
( ( cUNIQUE @ ( sk3 @ A ) )
| ( A @ cJ )
| ( cLIKE @ cP @ cS )
| ( A @ cP ) ),
inference(cnf,[status(esa)],[15]) ).
thf(7370,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| $false
| ( cLIKE @ cP @ cS )
| $false ),
inference(prim_subst,[status(thm)],[49:[bind(A,$thf( ^ [B: $i] : $false ))]]) ).
thf(7595,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cLIKE @ cP @ cS ) ),
inference(simp,[status(thm)],[7370]) ).
thf(8,plain,
cW @ cS,
inference(cnf,[status(esa)],[3]) ).
thf(20,plain,
! [A: $i > $o] :
( ~ ( cLIKE @ cP @ cS )
| ( ( A @ cJ )
!= ( ? [B: $i] :
( ( cUNIQUE @ B )
& ( cW @ B )
& ( cWRH @ B )
& ( cLIKE @ cJ @ B ) ) ) )
| ( ( cW @ cS )
!= ( A @ cP ) ) ),
inference(paramod_ordered,[status(thm)],[8,10]) ).
thf(28,plain,
( ~ ( cLIKE @ cP @ cS )
| ( ( cW @ cS )
!= ( ? [A: $i] :
( ( cUNIQUE @ A )
& ( cW @ A )
& ( cWRH @ A )
& ( cLIKE @ cJ @ A ) ) ) ) ),
inference(pre_uni,[status(thm)],[20:[bind(A,$thf( ^ [B: $i] : ( cW @ cS ) ))]]) ).
thf(53,plain,
( ~ ( cLIKE @ cP @ cS )
| ~ ? [A: $i] :
( ( cUNIQUE @ A )
& ( cW @ A )
& ( cWRH @ A )
& ( cLIKE @ cJ @ A ) ) ),
inference(rewrite,[status(thm)],[28,8]) ).
thf(54,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ~ ( cW @ A )
| ~ ( cWRH @ A )
| ~ ( cLIKE @ cJ @ A )
| ~ ( cLIKE @ cP @ cS ) ),
inference(cnf,[status(esa)],[53]) ).
thf(340,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ~ ( cW @ A )
| ~ ( cLIKE @ cJ @ A )
| ~ ( cLIKE @ cP @ cS )
| ( ( cWRH @ cS )
!= ( cWRH @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5,54]) ).
thf(341,plain,
( ~ ( cUNIQUE @ cS )
| ~ ( cW @ cS )
| ~ ( cLIKE @ cJ @ cS )
| ~ ( cLIKE @ cP @ cS ) ),
inference(pattern_uni,[status(thm)],[340:[bind(A,$thf( cS ))]]) ).
thf(4,plain,
cUNIQUE @ cS,
inference(cnf,[status(esa)],[3]) ).
thf(395,plain,
( ~ $true
| ~ $true
| ~ ( cLIKE @ cJ @ cS )
| ~ ( cLIKE @ cP @ cS ) ),
inference(rewrite,[status(thm)],[341,4,8]) ).
thf(396,plain,
( ~ ( cLIKE @ cJ @ cS )
| ~ ( cLIKE @ cP @ cS ) ),
inference(simp,[status(thm)],[395]) ).
thf(425,plain,
( ~ ( cLIKE @ cJ @ cS )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cJ @ cS ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[396]) ).
thf(427,plain,
( ~ ( cLIKE @ cJ @ cS )
| ( cP != cJ )
| ( cS != cS ) ),
inference(simp,[status(thm)],[425]) ).
thf(432,plain,
( ~ ( cLIKE @ cJ @ cS )
| ( cP != cJ ) ),
inference(simp,[status(thm)],[427]) ).
thf(7752,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP != cJ )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cJ @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[7595,432]) ).
thf(7795,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP != cJ )
| ( cP != cJ )
| ( cS != cS ) ),
inference(simp,[status(thm)],[7752]) ).
thf(7825,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP != cJ ) ),
inference(simp,[status(thm)],[7795]) ).
thf(7,plain,
! [B: $i,A: $i] :
( ~ ( cUNIQUE @ A )
| ~ ( cWRH @ B )
| ~ ( cW @ B )
| ( A = B ) ),
inference(cnf,[status(esa)],[3]) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( cUNIQUE @ A )
| ~ ( cWRH @ B )
| ~ ( cW @ B ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(157,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( cUNIQUE @ A )
| ~ ( cW @ B )
| ( ( cWRH @ cS )
!= ( cWRH @ B ) ) ),
inference(paramod_ordered,[status(thm)],[5,11]) ).
thf(158,plain,
! [A: $i] :
( ( A = cS )
| ~ ( cUNIQUE @ A )
| ~ ( cW @ cS ) ),
inference(pattern_uni,[status(thm)],[157:[bind(A,$thf( A )),bind(B,$thf( cS ))]]) ).
thf(2459,plain,
! [A: $i] :
( ( A = cS )
| ~ ( cUNIQUE @ A )
| ~ $true ),
inference(rewrite,[status(thm)],[158,8]) ).
thf(2460,plain,
! [A: $i] :
( ( A = cS )
| ~ ( cUNIQUE @ A ) ),
inference(simp,[status(thm)],[2459]) ).
thf(46,plain,
! [A: $i > $o] :
( ( cLIKE @ cJ @ ( sk3 @ A ) )
| ( A @ cJ )
| ( cLIKE @ cP @ cS )
| ( A @ cP ) ),
inference(cnf,[status(esa)],[15]) ).
thf(4833,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| $false
| ( cLIKE @ cP @ cS )
| $false ),
inference(prim_subst,[status(thm)],[46:[bind(A,$thf( ^ [B: $i] : $false ))]]) ).
thf(5072,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cLIKE @ cP @ cS ) ),
inference(simp,[status(thm)],[4833]) ).
thf(5239,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP != cJ )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cJ @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[5072,432]) ).
thf(5259,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP != cJ )
| ( cP != cJ )
| ( cS != cS ) ),
inference(simp,[status(thm)],[5239]) ).
thf(5298,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP != cJ ) ),
inference(simp,[status(thm)],[5259]) ).
thf(426,plain,
( ~ ( cLIKE @ cJ @ cS )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cJ @ cS ) ) ),
inference(simp,[status(thm)],[425]) ).
thf(5333,plain,
( ( cP != cJ )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cJ @ cS ) )
| ( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
!= ( cLIKE @ cJ @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[5298,426]) ).
thf(5414,plain,
( ( cP != cJ )
| ( cP != cJ )
| ( cS != cS )
| ( cJ != cJ )
| ( ( sk3
@ ^ [A: $i] : $false )
!= cS ) ),
inference(simp,[status(thm)],[5333]) ).
thf(5447,plain,
( ( cP != cJ )
| ( ( sk3
@ ^ [A: $i] : $false )
!= cS ) ),
inference(simp,[status(thm)],[5414]) ).
thf(5474,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( cP != cJ )
| ( A
!= ( sk3
@ ^ [B: $i] : $false ) ) ),
inference(paramod_ordered,[status(thm)],[2460,5447]) ).
thf(5475,plain,
( ~ ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP != cJ ) ),
inference(pattern_uni,[status(thm)],[5474:[bind(A,$thf( sk3 @ ^ [B: $i] : $false ))]]) ).
thf(7832,plain,
( ( cP != cJ )
| ( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
!= ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) ) ) ),
inference(paramod_ordered,[status(thm)],[7825,5475]) ).
thf(7833,plain,
cP != cJ,
inference(pattern_uni,[status(thm)],[7832:[]]) ).
thf(7926,plain,
( ~ ( cLIKE @ cP @ cS )
| ( cW @ sk1 ) ),
inference(simplifyReflect,[status(thm)],[37,7833]) ).
thf(38,plain,
( ( cP = cJ )
| ~ ( cLIKE @ cP @ cS )
| ( cUNIQUE @ sk1 ) ),
inference(cnf,[status(esa)],[33]) ).
thf(7927,plain,
( ~ ( cLIKE @ cP @ cS )
| ( cUNIQUE @ sk1 ) ),
inference(simplifyReflect,[status(thm)],[38,7833]) ).
thf(8688,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cUNIQUE @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[7595,7927]) ).
thf(8689,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cUNIQUE @ sk1 ) ),
inference(pattern_uni,[status(thm)],[8688:[]]) ).
thf(8990,plain,
! [A: $i] :
( ( cUNIQUE @ sk1 )
| ( A = cS )
| ( ( cUNIQUE
@ ( sk3
@ ^ [B: $i] : $false ) )
!= ( cUNIQUE @ A ) ) ),
inference(paramod_ordered,[status(thm)],[8689,2460]) ).
thf(8991,plain,
( ( cUNIQUE @ sk1 )
| ( ( sk3
@ ^ [A: $i] : $false )
= cS ) ),
inference(pattern_uni,[status(thm)],[8990:[bind(A,$thf( sk3 @ ^ [B: $i] : $false ))]]) ).
thf(9010,plain,
( ( cUNIQUE @ sk1 )
| ( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
!= ( cUNIQUE @ sk1 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[8689]) ).
thf(9025,plain,
( ( cUNIQUE @ sk1 )
| ( ( sk3
@ ^ [A: $i] : $false )
!= sk1 ) ),
inference(simp,[status(thm)],[9010]) ).
thf(10155,plain,
( ( cUNIQUE @ sk1 )
| ( sk1 != cS )
| ( ( sk3
@ ^ [A: $i] : $false )
!= ( sk3
@ ^ [A: $i] : $false ) ) ),
inference(paramod_ordered,[status(thm)],[8991,9025]) ).
thf(10156,plain,
( ( cUNIQUE @ sk1 )
| ( sk1 != cS ) ),
inference(pattern_uni,[status(thm)],[10155:[]]) ).
thf(7930,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( cS != cJ )
| ( A != cP ) ),
inference(paramod_ordered,[status(thm)],[2460,7833]) ).
thf(7931,plain,
( ~ ( cUNIQUE @ cP )
| ( cS != cJ ) ),
inference(pattern_uni,[status(thm)],[7930:[bind(A,$thf( cP ))]]) ).
thf(7944,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ~ ( cUNIQUE @ cP )
| ( A != cJ )
| ( cS != cS ) ),
inference(paramod_ordered,[status(thm)],[2460,7931]) ).
thf(7945,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ~ ( cUNIQUE @ cP )
| ( A != cJ ) ),
inference(pattern_uni,[status(thm)],[7944:[]]) ).
thf(7977,plain,
( ~ ( cUNIQUE @ cJ )
| ~ ( cUNIQUE @ cP ) ),
inference(simp,[status(thm)],[7945]) ).
thf(10244,plain,
( ( sk1 != cS )
| ~ ( cUNIQUE @ cP )
| ( ( cUNIQUE @ sk1 )
!= ( cUNIQUE @ cJ ) ) ),
inference(paramod_ordered,[status(thm)],[10156,7977]) ).
thf(10298,plain,
( ( sk1 != cS )
| ~ ( cUNIQUE @ cP )
| ( sk1 != cJ ) ),
inference(simp,[status(thm)],[10244]) ).
thf(8630,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cW @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[7595,7926]) ).
thf(8631,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cW @ sk1 ) ),
inference(pattern_uni,[status(thm)],[8630:[]]) ).
thf(8929,plain,
! [A: $i] :
( ( cW @ sk1 )
| ( A = cS )
| ( ( cUNIQUE
@ ( sk3
@ ^ [B: $i] : $false ) )
!= ( cUNIQUE @ A ) ) ),
inference(paramod_ordered,[status(thm)],[8631,2460]) ).
thf(8930,plain,
( ( cW @ sk1 )
| ( ( sk3
@ ^ [A: $i] : $false )
= cS ) ),
inference(pattern_uni,[status(thm)],[8929:[bind(A,$thf( sk3 @ ^ [B: $i] : $false ))]]) ).
thf(48,plain,
! [A: $i > $o] :
( ( cW @ ( sk3 @ A ) )
| ( A @ cJ )
| ( cLIKE @ cP @ cS )
| ( A @ cP ) ),
inference(cnf,[status(esa)],[15]) ).
thf(6226,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| $false
| ( cLIKE @ cP @ cS )
| $false ),
inference(prim_subst,[status(thm)],[48:[bind(A,$thf( ^ [B: $i] : $false ))]]) ).
thf(6428,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cLIKE @ cP @ cS ) ),
inference(simp,[status(thm)],[6226]) ).
thf(6530,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP = cJ )
| ( cW @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[6428,37]) ).
thf(6531,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP = cJ )
| ( cW @ sk1 ) ),
inference(pattern_uni,[status(thm)],[6530:[]]) ).
thf(6577,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP != cJ )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cJ @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[6428,432]) ).
thf(6600,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP != cJ )
| ( cP != cJ )
| ( cS != cS ) ),
inference(simp,[status(thm)],[6577]) ).
thf(6635,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP != cJ ) ),
inference(simp,[status(thm)],[6600]) ).
thf(6915,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cW @ sk1 )
| ( cP != cP ) ),
inference(paramod_ordered,[status(thm)],[6531,6635]) ).
thf(6916,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cW @ sk1 ) ),
inference(pattern_uni,[status(thm)],[6915:[]]) ).
thf(7101,plain,
( ( cW @ sk1 )
| ( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
!= ( cW @ sk1 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[6916]) ).
thf(7118,plain,
( ( cW @ sk1 )
| ( ( sk3
@ ^ [A: $i] : $false )
!= sk1 ) ),
inference(simp,[status(thm)],[7101]) ).
thf(9197,plain,
( ( cW @ sk1 )
| ( sk1 != cS )
| ( ( sk3
@ ^ [A: $i] : $false )
!= ( sk3
@ ^ [A: $i] : $false ) ) ),
inference(paramod_ordered,[status(thm)],[8930,7118]) ).
thf(9198,plain,
( ( cW @ sk1 )
| ( sk1 != cS ) ),
inference(pattern_uni,[status(thm)],[9197:[]]) ).
thf(9242,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( cW @ sk1 )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[2460,9198]) ).
thf(9243,plain,
( ~ ( cUNIQUE @ sk1 )
| ( cW @ sk1 ) ),
inference(pattern_uni,[status(thm)],[9242:[bind(A,$thf( sk1 ))]]) ).
thf(36,plain,
( ( cP = cJ )
| ~ ( cLIKE @ cP @ cS )
| ( cWRH @ sk1 ) ),
inference(cnf,[status(esa)],[33]) ).
thf(7929,plain,
( ~ ( cLIKE @ cP @ cS )
| ( cWRH @ sk1 ) ),
inference(simplifyReflect,[status(thm)],[36,7833]) ).
thf(8745,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cWRH @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[7595,7929]) ).
thf(8746,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cWRH @ sk1 ) ),
inference(pattern_uni,[status(thm)],[8745:[]]) ).
thf(47,plain,
! [A: $i > $o] :
( ( cWRH @ ( sk3 @ A ) )
| ( A @ cJ )
| ( cLIKE @ cP @ cS )
| ( A @ cP ) ),
inference(cnf,[status(esa)],[15]) ).
thf(82,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| $false
| ( cLIKE @ cP @ cS )
| $false ),
inference(prim_subst,[status(thm)],[47:[bind(A,$thf( ^ [B: $i] : $false ))]]) ).
thf(110,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cLIKE @ cP @ cS ) ),
inference(simp,[status(thm)],[82]) ).
thf(139,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP = cJ )
| ( cWRH @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[110,36]) ).
thf(140,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP = cJ )
| ( cWRH @ sk1 ) ),
inference(pattern_uni,[status(thm)],[139:[]]) ).
thf(494,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP != cJ )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cJ @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[110,432]) ).
thf(514,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP != cJ )
| ( cP != cJ )
| ( cS != cS ) ),
inference(simp,[status(thm)],[494]) ).
thf(517,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP != cJ ) ),
inference(simp,[status(thm)],[514]) ).
thf(528,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cWRH @ sk1 )
| ( cP != cP ) ),
inference(paramod_ordered,[status(thm)],[140,517]) ).
thf(529,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cWRH @ sk1 ) ),
inference(pattern_uni,[status(thm)],[528:[]]) ).
thf(628,plain,
( ( cWRH @ sk1 )
| ( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
!= ( cWRH @ sk1 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[529]) ).
thf(630,plain,
( ( cWRH @ sk1 )
| ( ( sk3
@ ^ [A: $i] : $false )
!= sk1 ) ),
inference(simp,[status(thm)],[628]) ).
thf(2579,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( cWRH @ sk1 )
| ( sk1 != cS )
| ( A
!= ( sk3
@ ^ [B: $i] : $false ) ) ),
inference(paramod_ordered,[status(thm)],[2460,630]) ).
thf(2580,plain,
( ~ ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cWRH @ sk1 )
| ( sk1 != cS ) ),
inference(pattern_uni,[status(thm)],[2579:[bind(A,$thf( sk3 @ ^ [B: $i] : $false ))]]) ).
thf(9049,plain,
( ( cWRH @ sk1 )
| ( sk1 != cS )
| ( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
!= ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) ) ) ),
inference(paramod_ordered,[status(thm)],[8746,2580]) ).
thf(9050,plain,
( ( cWRH @ sk1 )
| ( sk1 != cS ) ),
inference(pattern_uni,[status(thm)],[9049:[]]) ).
thf(35,plain,
( ( cP = cJ )
| ~ ( cLIKE @ cP @ cS )
| ( cLIKE @ cJ @ sk1 ) ),
inference(cnf,[status(esa)],[33]) ).
thf(7928,plain,
( ~ ( cLIKE @ cP @ cS )
| ( cLIKE @ cJ @ sk1 ) ),
inference(simplifyReflect,[status(thm)],[35,7833]) ).
thf(11509,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cLIKE @ cJ @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[7595,7928]) ).
thf(11510,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cLIKE @ cJ @ sk1 ) ),
inference(pattern_uni,[status(thm)],[11509:[]]) ).
thf(7687,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ~ ( cLIKE @ cJ @ cS )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[7595,396]) ).
thf(7688,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ~ ( cLIKE @ cJ @ cS ) ),
inference(pattern_uni,[status(thm)],[7687:[]]) ).
thf(12481,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( ( cLIKE @ cJ @ sk1 )
!= ( cLIKE @ cJ @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[11510,7688]) ).
thf(12539,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cJ != cJ )
| ( sk1 != cS ) ),
inference(simp,[status(thm)],[12481]) ).
thf(12568,plain,
( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( sk1 != cS ) ),
inference(simp,[status(thm)],[12539]) ).
thf(12591,plain,
! [A: $i] :
( ( sk1 != cS )
| ( A = cS )
| ( ( cUNIQUE
@ ( sk3
@ ^ [B: $i] : $false ) )
!= ( cUNIQUE @ A ) ) ),
inference(paramod_ordered,[status(thm)],[12568,2460]) ).
thf(12592,plain,
( ( sk1 != cS )
| ( ( sk3
@ ^ [A: $i] : $false )
= cS ) ),
inference(pattern_uni,[status(thm)],[12591:[bind(A,$thf( sk3 @ ^ [B: $i] : $false ))]]) ).
thf(12698,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( ( sk3
@ ^ [B: $i] : $false )
= cS )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[2460,12592]) ).
thf(12699,plain,
( ~ ( cUNIQUE @ sk1 )
| ( ( sk3
@ ^ [A: $i] : $false )
= cS ) ),
inference(pattern_uni,[status(thm)],[12698:[bind(A,$thf( sk1 ))]]) ).
thf(70,plain,
! [A: $i > $o] :
( ( cWRH @ ( sk3 @ A ) )
| ( A @ cJ )
| ( cLIKE @ cP @ cS )
| ( ( A @ cP )
!= ( A @ cJ ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[47]) ).
thf(87,plain,
! [A: $i > $o] :
( ( cWRH @ ( sk3 @ A ) )
| ( A @ cJ )
| ( cLIKE @ cP @ cS )
| ( ( A @ cP )
!= ( A @ cJ ) ) ),
inference(pre_uni,[status(thm)],[70:[]]) ).
thf(88,plain,
! [A: $i > $o] :
( ( cLIKE @ cP @ cS )
| ( A @ cJ )
| ( cWRH @ ( sk3 @ A ) )
| ( ( A @ cP )
!= ( A @ cJ ) ) ),
inference(pre_uni,[status(thm)],[87:[]]) ).
thf(8144,plain,
( ~ ( cUNIQUE @ cJ )
| ( ( cUNIQUE @ cP )
!= ( cUNIQUE @ cJ ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[7977]) ).
thf(8166,plain,
( ~ ( cUNIQUE @ cJ )
| ( ( cUNIQUE @ cP )
!= ( cUNIQUE @ cJ ) ) ),
inference(simp,[status(thm)],[8144]) ).
thf(10288,plain,
( ( sk1 != cS )
| ~ ( cUNIQUE @ cJ )
| ( ( cUNIQUE @ sk1 )
!= ( cUNIQUE @ cP ) ) ),
inference(paramod_ordered,[status(thm)],[10156,8166]) ).
thf(10293,plain,
( ( sk1 != cS )
| ~ ( cUNIQUE @ cJ )
| ( sk1 != cP ) ),
inference(simp,[status(thm)],[10288]) ).
thf(11644,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ~ ( cUNIQUE @ cJ )
| ( sk1 != cP )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[2460,10293]) ).
thf(11645,plain,
( ~ ( cUNIQUE @ sk1 )
| ~ ( cUNIQUE @ cJ )
| ( sk1 != cP ) ),
inference(pattern_uni,[status(thm)],[11644:[bind(A,$thf( sk1 ))]]) ).
thf(2490,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ~ ( cLIKE @ cJ @ cS )
| ~ ( cLIKE @ cS @ cS )
| ( A != cP ) ),
inference(paramod_ordered,[status(thm)],[2460,396]) ).
thf(2491,plain,
( ~ ( cUNIQUE @ cP )
| ~ ( cLIKE @ cJ @ cS )
| ~ ( cLIKE @ cS @ cS ) ),
inference(pattern_uni,[status(thm)],[2490:[bind(A,$thf( cP ))]]) ).
thf(42,plain,
! [A: $i > $o] :
( ( cLIKE @ cJ @ ( sk2 @ A ) )
| ( A @ cJ )
| ~ ( cLIKE @ cP @ cS )
| ~ ( A @ cP ) ),
inference(cnf,[status(esa)],[14]) ).
thf(7959,plain,
( ( cS != cJ )
| ( ( cUNIQUE @ cP )
!= ( cUNIQUE @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[4,7931]) ).
thf(7974,plain,
( ( cS != cJ )
| ( cP != cS ) ),
inference(simp,[status(thm)],[7959]) ).
thf(7986,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( A != cJ )
| ( cP != cS )
| ( cS != cS ) ),
inference(paramod_ordered,[status(thm)],[2460,7974]) ).
thf(7987,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( A != cJ )
| ( cP != cS ) ),
inference(pattern_uni,[status(thm)],[7986:[]]) ).
thf(7996,plain,
( ~ ( cUNIQUE @ cJ )
| ( cP != cS ) ),
inference(simp,[status(thm)],[7987]) ).
thf(10289,plain,
( ( sk1 != cS )
| ( cP != cS )
| ( ( cUNIQUE @ sk1 )
!= ( cUNIQUE @ cJ ) ) ),
inference(paramod_ordered,[status(thm)],[10156,7996]) ).
thf(10290,plain,
( ( sk1 != cS )
| ( cP != cS )
| ( sk1 != cJ ) ),
inference(simp,[status(thm)],[10289]) ).
thf(11612,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( cP != cS )
| ( sk1 != cJ )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[2460,10290]) ).
thf(11613,plain,
( ~ ( cUNIQUE @ sk1 )
| ( cP != cS )
| ( sk1 != cJ ) ),
inference(pattern_uni,[status(thm)],[11612:[bind(A,$thf( sk1 ))]]) ).
thf(9055,plain,
! [A: $i] :
( ( cWRH @ sk1 )
| ( A = cS )
| ( ( cUNIQUE
@ ( sk3
@ ^ [B: $i] : $false ) )
!= ( cUNIQUE @ A ) ) ),
inference(paramod_ordered,[status(thm)],[8746,2460]) ).
thf(9056,plain,
( ( cWRH @ sk1 )
| ( ( sk3
@ ^ [A: $i] : $false )
= cS ) ),
inference(pattern_uni,[status(thm)],[9055:[bind(A,$thf( sk3 @ ^ [B: $i] : $false ))]]) ).
thf(8747,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cWRH @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[5072,7929]) ).
thf(8748,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cWRH @ sk1 ) ),
inference(pattern_uni,[status(thm)],[8747:[]]) ).
thf(11511,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cLIKE @ cJ @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[5072,7928]) ).
thf(11512,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cLIKE @ cJ @ sk1 ) ),
inference(pattern_uni,[status(thm)],[11511:[]]) ).
thf(16478,plain,
( ( cLIKE @ cJ @ sk1 )
| ( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
!= ( cLIKE @ cJ @ sk1 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[11512]) ).
thf(16526,plain,
( ( cLIKE @ cJ @ sk1 )
| ( cJ != cJ )
| ( ( sk3
@ ^ [A: $i] : $false )
!= sk1 ) ),
inference(simp,[status(thm)],[16478]) ).
thf(16544,plain,
( ( cLIKE @ cJ @ sk1 )
| ( ( sk3
@ ^ [A: $i] : $false )
!= sk1 ) ),
inference(simp,[status(thm)],[16526]) ).
thf(60,plain,
! [B: $i > $o,A: $i > $o] :
( ( cWRH @ ( sk3 @ A ) )
| ( A @ cJ )
| ( A @ cP )
| ~ ( B @ cP )
| ( ( B @ cJ )
!= ( ? [C: $i] :
( ( cUNIQUE @ C )
& ( cW @ C )
& ( cWRH @ C )
& ( cLIKE @ cJ @ C ) ) ) )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[47,10]) ).
thf(61,plain,
! [B: $i > $o,A: $i > $o] :
( ( cWRH @ ( sk3 @ A ) )
| ( A @ cJ )
| ( A @ cP )
| ~ ( B @ cP )
| ( ( B @ cJ )
!= ( ? [C: $i] :
( ( cUNIQUE @ C )
& ( cW @ C )
& ( cWRH @ C )
& ( cLIKE @ cJ @ C ) ) ) ) ),
inference(pattern_uni,[status(thm)],[60:[]]) ).
thf(7932,plain,
! [B: $i,A: $i] :
( ~ ( cUNIQUE @ A )
| ~ ( cWRH @ B )
| ~ ( cW @ B )
| ( B != cJ )
| ( A != cP ) ),
inference(paramod_ordered,[status(thm)],[11,7833]) ).
thf(7933,plain,
! [A: $i] :
( ~ ( cUNIQUE @ cP )
| ~ ( cWRH @ A )
| ~ ( cW @ A )
| ( A != cJ ) ),
inference(pattern_uni,[status(thm)],[7932:[bind(A,$thf( cP ))]]) ).
thf(7936,plain,
( ~ ( cUNIQUE @ cP )
| ~ ( cWRH @ cJ )
| ~ ( cW @ cJ ) ),
inference(simp,[status(thm)],[7933]) ).
thf(8690,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cUNIQUE @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[5072,7927]) ).
thf(8691,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cUNIQUE @ sk1 ) ),
inference(pattern_uni,[status(thm)],[8690:[]]) ).
thf(11142,plain,
( ( cWRH @ sk1 )
| ( cLIKE @ cJ @ cS )
| ( ( sk3
@ ^ [A: $i] : $false )
!= ( sk3
@ ^ [A: $i] : $false ) ) ),
inference(paramod_ordered,[status(thm)],[9056,8748]) ).
thf(11143,plain,
( ( cWRH @ sk1 )
| ( cLIKE @ cJ @ cS ) ),
inference(pattern_uni,[status(thm)],[11142:[]]) ).
thf(9024,plain,
( ( cUNIQUE @ sk1 )
| ( ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) )
!= ( cUNIQUE @ sk1 ) ) ),
inference(simp,[status(thm)],[9010]) ).
thf(11667,plain,
( ( sk1 != cS )
| ( sk1 != cP )
| ( ( cUNIQUE @ sk1 )
!= ( cUNIQUE @ cJ ) ) ),
inference(paramod_ordered,[status(thm)],[10156,10293]) ).
thf(11677,plain,
( ( sk1 != cS )
| ( sk1 != cP )
| ( sk1 != cJ ) ),
inference(simp,[status(thm)],[11667]) ).
thf(7934,plain,
! [B: $i,A: $i] :
( ~ ( cUNIQUE @ A )
| ~ ( cWRH @ B )
| ~ ( cW @ B )
| ( A != cJ )
| ( B != cP ) ),
inference(paramod_ordered,[status(thm)],[11,7833]) ).
thf(7935,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ~ ( cWRH @ cP )
| ~ ( cW @ cP )
| ( A != cJ ) ),
inference(pattern_uni,[status(thm)],[7934:[bind(A,$thf( A )),bind(B,$thf( cP ))]]) ).
thf(7937,plain,
( ~ ( cUNIQUE @ cJ )
| ~ ( cWRH @ cP )
| ~ ( cW @ cP ) ),
inference(simp,[status(thm)],[7935]) ).
thf(932,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP = cJ )
| ( cUNIQUE @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[110,38]) ).
thf(933,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP = cJ )
| ( cUNIQUE @ sk1 ) ),
inference(pattern_uni,[status(thm)],[932:[]]) ).
thf(1057,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cUNIQUE @ sk1 )
| ( cP != cP ) ),
inference(paramod_ordered,[status(thm)],[933,517]) ).
thf(1058,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cUNIQUE @ sk1 ) ),
inference(pattern_uni,[status(thm)],[1057:[]]) ).
thf(2615,plain,
! [A: $i] :
( ( cWRH
@ ( sk3
@ ^ [B: $i] : $false ) )
| ( A = cS )
| ( ( cUNIQUE @ sk1 )
!= ( cUNIQUE @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1058,2460]) ).
thf(2616,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( sk1 = cS ) ),
inference(pattern_uni,[status(thm)],[2615:[bind(A,$thf( sk1 ))]]) ).
thf(564,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP = cJ )
| ( cLIKE @ cJ @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[110,35]) ).
thf(565,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP = cJ )
| ( cLIKE @ cJ @ sk1 ) ),
inference(pattern_uni,[status(thm)],[564:[]]) ).
thf(1482,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cLIKE @ cJ @ sk1 )
| ( cP != cP ) ),
inference(paramod_ordered,[status(thm)],[565,517]) ).
thf(1483,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cLIKE @ cJ @ sk1 ) ),
inference(pattern_uni,[status(thm)],[1482:[]]) ).
thf(400,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ~ ( cLIKE @ cJ @ cS )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[110,396]) ).
thf(401,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ~ ( cLIKE @ cJ @ cS ) ),
inference(pattern_uni,[status(thm)],[400:[]]) ).
thf(1561,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( ( cLIKE @ cJ @ sk1 )
!= ( cLIKE @ cJ @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[1483,401]) ).
thf(1576,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cJ != cJ )
| ( sk1 != cS ) ),
inference(simp,[status(thm)],[1561]) ).
thf(1593,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( sk1 != cS ) ),
inference(simp,[status(thm)],[1576]) ).
thf(3153,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( sk1 != sk1 ) ),
inference(paramod_ordered,[status(thm)],[2616,1593]) ).
thf(3154,plain,
( cWRH
@ ( sk3
@ ^ [A: $i] : $false ) ),
inference(pattern_uni,[status(thm)],[3153:[]]) ).
thf(67,plain,
! [A: $i > $o] :
( ( A @ cJ )
| ( cLIKE @ cP @ cS )
| ( A @ cP )
| ( ( cWRH @ ( sk3 @ A ) )
!= ( A @ cJ ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[47]) ).
thf(97,plain,
! [A: $i > $o] :
( ( A @ cJ )
| ( cLIKE @ cP @ cS )
| ( A @ cP )
| ( ( cWRH @ ( sk3 @ A ) )
!= ( A @ cJ ) ) ),
inference(simp,[status(thm)],[67]) ).
thf(77,plain,
( ( cWRH @ ( sk3 @ cUNIQUE ) )
| ( cUNIQUE @ cJ )
| ( cLIKE @ cP @ cS )
| ( cUNIQUE @ cP ) ),
inference(prim_subst,[status(thm)],[47:[bind(A,$thf( cUNIQUE ))]]) ).
thf(59,plain,
! [B: $i > $o,A: $i > $o] :
( ( cWRH @ ( sk3 @ A ) )
| ( A @ cJ )
| ( A @ cP )
| ~ ( cLIKE @ cP @ cS )
| ( ( B @ cJ )
!= ( ? [C: $i] :
( ( cUNIQUE @ C )
& ( cW @ C )
& ( cWRH @ C )
& ( cLIKE @ cJ @ C ) ) ) )
| ( ( cLIKE @ cP @ cS )
!= ( B @ cP ) ) ),
inference(paramod_ordered,[status(thm)],[47,10]) ).
thf(96,plain,
! [A: $i > $o] :
( ( cWRH @ ( sk3 @ A ) )
| ( A @ cJ )
| ( A @ cP )
| ~ ( cLIKE @ cP @ cS )
| ( ( cLIKE @ cJ @ cS )
!= ( ? [B: $i] :
( ( cUNIQUE @ B )
& ( cW @ B )
& ( cWRH @ B )
& ( cLIKE @ cJ @ B ) ) ) ) ),
inference(pre_uni,[status(thm)],[59:[bind(A,$thf( A )),bind(B,$thf( ^ [C: $i] : ( cLIKE @ C @ cS ) ))]]) ).
thf(10256,plain,
( ( sk1 != cS )
| ( cS != cJ )
| ( ( cUNIQUE @ sk1 )
!= ( cUNIQUE @ cP ) ) ),
inference(paramod_ordered,[status(thm)],[10156,7931]) ).
thf(10302,plain,
( ( sk1 != cS )
| ( cS != cJ )
| ( sk1 != cP ) ),
inference(simp,[status(thm)],[10256]) ).
thf(2565,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( cWRH @ A )
| ( cS != cS ) ),
inference(paramod_ordered,[status(thm)],[2460,5]) ).
thf(2566,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( cWRH @ A ) ),
inference(pattern_uni,[status(thm)],[2565:[]]) ).
thf(9111,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( cWRH @ sk1 )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[2460,9050]) ).
thf(9112,plain,
( ~ ( cUNIQUE @ sk1 )
| ( cWRH @ sk1 ) ),
inference(pattern_uni,[status(thm)],[9111:[bind(A,$thf( sk1 ))]]) ).
thf(73,plain,
! [B: $i > $o,A: $i > $o] :
( ( cWRH
@ ( sk3
@ ^ [C: $i] :
( ( A @ C )
| ( B @ C ) ) ) )
| ( A @ cJ )
| ( B @ cJ )
| ( cLIKE @ cP @ cS )
| ( A @ cP )
| ( B @ cP ) ),
inference(prim_subst,[status(thm)],[47:[bind(A,$thf( ^ [D: $i] : ( ( B @ D ) | ( C @ D ) ) ))]]) ).
thf(104,plain,
! [B: $i > $o,A: $i > $o] :
( ( A @ cP )
| ( B @ cP )
| ( cLIKE @ cP @ cS )
| ( A @ cJ )
| ( B @ cJ )
| ( cWRH
@ ( sk3
@ ^ [C: $i] :
( ( A @ C )
| ( B @ C ) ) ) ) ),
inference(cnf,[status(esa)],[73]) ).
thf(105,plain,
! [B: $i > $o,A: $i > $o] :
( ( A @ cP )
| ( B @ cP )
| ( cLIKE @ cP @ cS )
| ( A @ cJ )
| ( B @ cJ )
| ( cWRH
@ ( sk3
@ ^ [C: $i] :
( ( A @ C )
| ( B @ C ) ) ) ) ),
inference(simp,[status(thm)],[104]) ).
thf(12595,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( cUNIQUE
@ ( sk3
@ ^ [B: $i] : $false ) )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[2460,12568]) ).
thf(12596,plain,
( ~ ( cUNIQUE @ sk1 )
| ( cUNIQUE
@ ( sk3
@ ^ [A: $i] : $false ) ) ),
inference(pattern_uni,[status(thm)],[12595:[bind(A,$thf( sk1 ))]]) ).
thf(45,plain,
! [A: $i > $o] :
( ( cUNIQUE @ ( sk2 @ A ) )
| ( A @ cJ )
| ~ ( cLIKE @ cP @ cS )
| ~ ( A @ cP ) ),
inference(cnf,[status(esa)],[14]) ).
thf(13,plain,
! [A: $i > $o] :
( ( A @ cP )
| ( cLIKE @ cP @ cS )
| ~ ( A @ cJ )
| ~ ? [B: $i] :
( ( cUNIQUE @ B )
& ( cW @ B )
& ( cWRH @ B )
& ( cLIKE @ cJ @ B ) ) ),
inference(bool_ext,[status(thm)],[10]) ).
thf(24,plain,
( ( cJ = cP )
| ( cLIKE @ cP @ cS )
| ( cJ != cJ )
| ~ ? [A: $i] :
( ( cUNIQUE @ A )
& ( cW @ A )
& ( cWRH @ A )
& ( cLIKE @ cJ @ A ) ) ),
inference(replace_leibeq,[status(thm)],[13:[bind(A,$thf( (=) @ $i @ cJ ))]]) ).
thf(25,plain,
( ( cP = cJ )
| ( cJ != cJ )
| ( cLIKE @ cP @ cS )
| ~ ? [A: $i] :
( ( cUNIQUE @ A )
& ( cW @ A )
& ( cWRH @ A )
& ( cLIKE @ cJ @ A ) ) ),
inference(lifteq,[status(thm)],[24]) ).
thf(27,plain,
( ~ ? [A: $i] :
( ( cUNIQUE @ A )
& ( cW @ A )
& ( cWRH @ A )
& ( cLIKE @ cJ @ A ) )
| ( cLIKE @ cP @ cS )
| ( cP = cJ ) ),
inference(pattern_uni,[status(thm)],[25:[]]) ).
thf(50,plain,
! [A: $i] :
( ( cP = cJ )
| ( cLIKE @ cP @ cS )
| ~ ( cUNIQUE @ A )
| ~ ( cW @ A )
| ~ ( cWRH @ A )
| ~ ( cLIKE @ cJ @ A ) ),
inference(cnf,[status(esa)],[27]) ).
thf(8217,plain,
! [A: $i] :
( ( cLIKE @ cP @ cS )
| ~ ( cUNIQUE @ A )
| ~ ( cW @ A )
| ~ ( cWRH @ A )
| ~ ( cLIKE @ cJ @ A ) ),
inference(simplifyReflect,[status(thm)],[50,7833]) ).
thf(44,plain,
! [A: $i > $o] :
( ( cW @ ( sk2 @ A ) )
| ( A @ cJ )
| ~ ( cLIKE @ cP @ cS )
| ~ ( A @ cP ) ),
inference(cnf,[status(esa)],[14]) ).
thf(5202,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP = cJ )
| ( cW @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[5072,37]) ).
thf(5203,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP = cJ )
| ( cW @ sk1 ) ),
inference(pattern_uni,[status(thm)],[5202:[]]) ).
thf(5626,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cW @ sk1 )
| ( cP != cP ) ),
inference(paramod_ordered,[status(thm)],[5203,5298]) ).
thf(5627,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cW @ sk1 ) ),
inference(pattern_uni,[status(thm)],[5626:[]]) ).
thf(69,plain,
! [A: $i > $o] :
( ( cWRH @ ( sk3 @ A ) )
| ( A @ cJ )
| ( cLIKE @ cP @ cS )
| ( ( A @ cP )
!= ( cWRH @ ( sk3 @ A ) ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[47]) ).
thf(86,plain,
! [A: $i > $o] :
( ( cWRH @ ( sk3 @ A ) )
| ( A @ cJ )
| ( cLIKE @ cP @ cS )
| ( ( A @ cP )
!= ( cWRH @ ( sk3 @ A ) ) ) ),
inference(simp,[status(thm)],[69]) ).
thf(10627,plain,
( ( cUNIQUE @ sk1 )
| ( cLIKE @ cJ @ cS )
| ( ( sk3
@ ^ [A: $i] : $false )
!= ( sk3
@ ^ [A: $i] : $false ) ) ),
inference(paramod_ordered,[status(thm)],[8991,8691]) ).
thf(10628,plain,
( ( cUNIQUE @ sk1 )
| ( cLIKE @ cJ @ cS ) ),
inference(pattern_uni,[status(thm)],[10627:[]]) ).
thf(2646,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( cW @ A )
| ( cS != cS ) ),
inference(paramod_ordered,[status(thm)],[2460,8]) ).
thf(2647,plain,
! [A: $i] :
( ~ ( cUNIQUE @ A )
| ( cW @ A ) ),
inference(pattern_uni,[status(thm)],[2646:[]]) ).
thf(8493,plain,
( ~ ( cWRH @ cJ )
| ~ ( cW @ cJ )
| ( ( cUNIQUE @ cP )
!= ( cUNIQUE @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[4,7936]) ).
thf(8529,plain,
( ~ ( cWRH @ cJ )
| ~ ( cW @ cJ )
| ( cP != cS ) ),
inference(simp,[status(thm)],[8493]) ).
thf(80,plain,
( ( cWRH @ ( sk3 @ cWRH ) )
| ( cWRH @ cJ )
| ( cLIKE @ cP @ cS )
| ( cWRH @ cP ) ),
inference(prim_subst,[status(thm)],[47:[bind(A,$thf( cWRH ))]]) ).
thf(9201,plain,
( ( cW @ sk1 )
| ( cLIKE @ cJ @ cS )
| ( ( sk3
@ ^ [A: $i] : $false )
!= ( sk3
@ ^ [A: $i] : $false ) ) ),
inference(paramod_ordered,[status(thm)],[8930,5627]) ).
thf(9202,plain,
( ( cW @ sk1 )
| ( cLIKE @ cJ @ cS ) ),
inference(pattern_uni,[status(thm)],[9201:[]]) ).
thf(6536,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP = cJ )
| ( cUNIQUE @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[6428,38]) ).
thf(6537,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cP = cJ )
| ( cUNIQUE @ sk1 ) ),
inference(pattern_uni,[status(thm)],[6536:[]]) ).
thf(8001,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cUNIQUE @ sk1 ) ),
inference(simplifyReflect,[status(thm)],[6537,7833]) ).
thf(8017,plain,
! [A: $i] :
( ( cW
@ ( sk3
@ ^ [B: $i] : $false ) )
| ( A = cS )
| ( ( cUNIQUE @ sk1 )
!= ( cUNIQUE @ A ) ) ),
inference(paramod_ordered,[status(thm)],[8001,2460]) ).
thf(8018,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( sk1 = cS ) ),
inference(pattern_uni,[status(thm)],[8017:[bind(A,$thf( sk1 ))]]) ).
thf(11487,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cLIKE @ cJ @ sk1 )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[6428,7928]) ).
thf(11488,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cLIKE @ cJ @ sk1 ) ),
inference(pattern_uni,[status(thm)],[11487:[]]) ).
thf(6513,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ~ ( cLIKE @ cJ @ cS )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[6428,396]) ).
thf(6514,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ~ ( cLIKE @ cJ @ cS ) ),
inference(pattern_uni,[status(thm)],[6513:[]]) ).
thf(11973,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( ( cLIKE @ cJ @ sk1 )
!= ( cLIKE @ cJ @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[11488,6514]) ).
thf(12030,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( cJ != cJ )
| ( sk1 != cS ) ),
inference(simp,[status(thm)],[11973]) ).
thf(12074,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( sk1 != cS ) ),
inference(simp,[status(thm)],[12030]) ).
thf(12087,plain,
( ( cW
@ ( sk3
@ ^ [A: $i] : $false ) )
| ( sk1 != sk1 ) ),
inference(paramod_ordered,[status(thm)],[8018,12074]) ).
thf(12088,plain,
( cW
@ ( sk3
@ ^ [A: $i] : $false ) ),
inference(pattern_uni,[status(thm)],[12087:[]]) ).
thf(95,plain,
! [A: $i > $o] :
( ( cWRH @ ( sk3 @ A ) )
| ( A @ cJ )
| ( A @ cP )
| ~ ( cLIKE @ cP @ cS )
| ( ( cLIKE @ cP @ cS )
!= ( ? [B: $i] :
( ( cUNIQUE @ B )
& ( cW @ B )
& ( cWRH @ B )
& ( cLIKE @ cJ @ B ) ) ) ) ),
inference(pre_uni,[status(thm)],[59:[bind(A,$thf( A )),bind(B,$thf( ^ [C: $i] : ( cLIKE @ cP @ cS ) ))]]) ).
thf(43,plain,
! [A: $i > $o] :
( ( cWRH @ ( sk2 @ A ) )
| ( A @ cJ )
| ~ ( cLIKE @ cP @ cS )
| ~ ( A @ cP ) ),
inference(cnf,[status(esa)],[14]) ).
thf(72,plain,
! [A: $i > $o] :
( ( cWRH @ ( sk3 @ A ) )
| ( A @ cJ )
| ( cLIKE @ cP @ cS )
| ( ( A @ cP )
!= ( cLIKE @ cP @ cS ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[47]) ).
thf(99,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : ( cLIKE @ A @ cS ) ) )
| ( cLIKE @ cJ @ cS )
| ( cLIKE @ cP @ cS ) ),
inference(pre_uni,[status(thm)],[72:[bind(A,$thf( ^ [B: $i] : ( cLIKE @ B @ cS ) ))]]) ).
thf(16613,plain,
( ( sk1 != cS )
| ( cLIKE @ cJ @ sk1 )
| ( ( sk3
@ ^ [A: $i] : $false )
!= ( sk3
@ ^ [A: $i] : $false ) ) ),
inference(paramod_ordered,[status(thm)],[12592,16544]) ).
thf(16614,plain,
( ( sk1 != cS )
| ( cLIKE @ cJ @ sk1 ) ),
inference(pattern_uni,[status(thm)],[16613:[]]) ).
thf(98,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : ( cLIKE @ cP @ cS ) ) )
| ( cLIKE @ cP @ cS )
| ( cLIKE @ cP @ cS ) ),
inference(pre_uni,[status(thm)],[72:[bind(A,$thf( ^ [B: $i] : ( cLIKE @ cP @ cS ) ))]]) ).
thf(119,plain,
( ( cWRH
@ ( sk3
@ ^ [A: $i] : ( cLIKE @ cP @ cS ) ) )
| ( cLIKE @ cP @ cS ) ),
inference(simp,[status(thm)],[98]) ).
thf(79,plain,
( ( cWRH @ ( sk3 @ cW ) )
| ( cW @ cJ )
| ( cLIKE @ cP @ cS )
| ( cW @ cP ) ),
inference(prim_subst,[status(thm)],[47:[bind(A,$thf( cW ))]]) ).
thf(3943,plain,
( ~ ( cLIKE @ cJ @ cS )
| ~ ( cLIKE @ cS @ cS )
| ( ( cUNIQUE @ cP )
!= ( cUNIQUE @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[4,2491]) ).
thf(4007,plain,
( ~ ( cLIKE @ cJ @ cS )
| ~ ( cLIKE @ cS @ cS )
| ( cP != cS ) ),
inference(simp,[status(thm)],[3943]) ).
thf(8859,plain,
( ~ ( cWRH @ cP )
| ~ ( cW @ cP )
| ( ( cUNIQUE @ cS )
!= ( cUNIQUE @ cJ ) ) ),
inference(paramod_ordered,[status(thm)],[4,7937]) ).
thf(8869,plain,
( ~ ( cWRH @ cP )
| ~ ( cW @ cP )
| ( cS != cJ ) ),
inference(simp,[status(thm)],[8859]) ).
thf(9395,plain,
( ( ( cUNIQUE @ cP )
!= ( cUNIQUE @ cJ ) )
| ( ( cUNIQUE @ cS )
!= ( cUNIQUE @ cJ ) ) ),
inference(paramod_ordered,[status(thm)],[4,8166]) ).
thf(9414,plain,
( ( ( cUNIQUE @ cP )
!= ( cUNIQUE @ cJ ) )
| ( cS != cJ ) ),
inference(simp,[status(thm)],[9395]) ).
thf(5175,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ~ ( cLIKE @ cJ @ cS )
| ( ( cLIKE @ cP @ cS )
!= ( cLIKE @ cP @ cS ) ) ),
inference(paramod_ordered,[status(thm)],[5072,396]) ).
thf(5176,plain,
( ( cLIKE @ cJ
@ ( sk3
@ ^ [A: $i] : $false ) )
| ~ ( cLIKE @ cJ @ cS ) ),
inference(pattern_uni,[status(thm)],[5175:[]]) ).
thf(17456,plain,
$false,
inference(e,[status(thm)],[5,7926,10298,9243,9050,8991,8930,12699,88,10,12568,11645,2491,42,11613,9056,8748,11512,11510,46,16544,7931,61,7936,396,8691,11143,7688,9024,11677,7937,630,3154,8746,7977,97,2460,8631,77,96,7927,10302,2566,9112,105,12596,45,7118,8217,7833,44,9025,5627,12592,54,49,86,10628,2647,7928,8529,7929,3,80,8689,426,9202,48,10290,12088,95,10293,11,7595,43,99,10156,7974,8166,7996,16614,8,119,5072,4,79,4007,8869,9414,5176,9198,47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO224^5 : TPTP v8.2.0. Released v4.0.0.
% 0.17/0.16 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n026.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon May 20 09:20:09 EDT 2024
% 0.17/0.38 % CPUTime :
% 0.96/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/1.03 % [INFO] Parsing done (109ms).
% 1.21/1.04 % [INFO] Running in sequential loop mode.
% 1.78/1.26 % [INFO] eprover registered as external prover.
% 1.78/1.27 % [INFO] cvc4 registered as external prover.
% 1.78/1.27 % [INFO] Scanning for conjecture ...
% 1.93/1.33 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.93/1.35 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.93/1.35 % [INFO] Problem is higher-order (TPTP THF).
% 2.03/1.36 % [INFO] Type checking passed.
% 2.03/1.36 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 47.09/8.73 % External prover 'e' found a proof!
% 47.09/8.73 % [INFO] Killing All external provers ...
% 47.09/8.73 % Time passed: 8177ms (effective reasoning time: 7685ms)
% 47.09/8.73 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 47.09/8.73 % Axioms used in derivation (0):
% 47.09/8.73 % No. of inferences in proof: 256
% 47.09/8.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 8177 ms resp. 7685 ms w/o parsing
% 47.09/8.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 47.09/8.84 % [INFO] Killing All external provers ...
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