TSTP Solution File: SYO324^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO324^5 : TPTP v8.1.0. Released v4.0.0.
% 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 : Thu Jul 21 17:33:23 EDT 2022
% Result : Theorem 26.04s 26.28s
% Output : CNFRefutation 26.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 4
% Syntax : Number of formulae : 92 ( 24 unt; 3 typ; 0 def)
% Number of atoms : 516 ( 186 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 1342 ( 337 ~; 240 |; 25 &; 735 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 215 ( 215 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 2 con; 0-3 aty)
% Number of variables : 364 ( 69 ^ 268 !; 27 ?; 364 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK1_Xh,type,
sK1_Xh: ( $i > $o ) > $i ).
thf(tp_sK2_SY12,type,
sK2_SY12: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_sK3_SY14,type,
sK3_SY14: $i > $o ).
thf(1,conjecture,
! [Xh: ( $i > $o ) > $i] :
( ? [Xp: $i > $o,Xq: $i > $o] :
( ! [Xq_31: $i > $o] :
( ~ ( Xq_31 @ ( Xh @ Xp ) )
| ( Xq_31 @ ( Xh @ Xq ) ) )
& ? [Xx: $i] :
~ ( ( Xp @ Xx )
<=> ( Xq @ Xx ) ) )
| ! [Xt: $i > $o] :
( ( Xt @ ( Xh @ Xt ) )
| ? [Xq: $i > $o] :
( ( Xq
@ ( Xh
@ ^ [Xz: $i] :
? [Xt0: $i > $o] :
( ~ ( Xt0 @ ( Xh @ Xt0 ) )
& ! [Xq0: $i > $o] :
( ~ ( Xq0 @ Xz )
| ( Xq0 @ ( Xh @ Xt0 ) ) ) ) ) )
& ~ ( Xq @ ( Xh @ Xt ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM143_EXPANDB) ).
thf(2,negated_conjecture,
( ( ! [Xh: ( $i > $o ) > $i] :
( ? [Xp: $i > $o,Xq: $i > $o] :
( ! [Xq_31: $i > $o] :
( ~ ( Xq_31 @ ( Xh @ Xp ) )
| ( Xq_31 @ ( Xh @ Xq ) ) )
& ? [Xx: $i] :
~ ( ( Xp @ Xx )
<=> ( Xq @ Xx ) ) )
| ! [Xt: $i > $o] :
( ( Xt @ ( Xh @ Xt ) )
| ? [Xq: $i > $o] :
( ( Xq
@ ( Xh
@ ^ [Xz: $i] :
? [Xt0: $i > $o] :
( ~ ( Xt0 @ ( Xh @ Xt0 ) )
& ! [Xq0: $i > $o] :
( ~ ( Xq0 @ Xz )
| ( Xq0 @ ( Xh @ Xt0 ) ) ) ) ) )
& ~ ( Xq @ ( Xh @ Xt ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xh: ( $i > $o ) > $i] :
( ? [Xp: $i > $o,Xq: $i > $o] :
( ! [Xq_31: $i > $o] :
( ~ ( Xq_31 @ ( Xh @ Xp ) )
| ( Xq_31 @ ( Xh @ Xq ) ) )
& ? [Xx: $i] :
~ ( ( Xp @ Xx )
<=> ( Xq @ Xx ) ) )
| ! [Xt: $i > $o] :
( ( Xt @ ( Xh @ Xt ) )
| ? [Xq: $i > $o] :
( ( Xq
@ ( Xh
@ ^ [Xz: $i] :
? [Xt0: $i > $o] :
( ~ ( Xt0 @ ( Xh @ Xt0 ) )
& ! [Xq0: $i > $o] :
( ~ ( Xq0 @ Xz )
| ( Xq0 @ ( Xh @ Xt0 ) ) ) ) ) )
& ~ ( Xq @ ( Xh @ Xt ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [SY10: $i > $o,SY11: $i > $o] :
( ! [SY12: $i > $o] :
( ~ ( SY12 @ ( sK1_Xh @ SY10 ) )
| ( SY12 @ ( sK1_Xh @ SY11 ) ) )
& ? [Xx: $i] :
~ ( ( SY10 @ Xx )
<=> ( SY11 @ Xx ) ) )
| ! [SY14: $i > $o] :
( ( SY14 @ ( sK1_Xh @ SY14 ) )
| ? [SY15: $i > $o] :
( ( SY15
@ ( sK1_Xh
@ ^ [SY16: $i] :
? [SY17: $i > $o] :
( ~ ( SY17 @ ( sK1_Xh @ SY17 ) )
& ! [SY18: $i > $o] :
( ~ ( SY18 @ SY16 )
| ( SY18 @ ( sK1_Xh @ SY17 ) ) ) ) ) )
& ~ ( SY15 @ ( sK1_Xh @ SY14 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ~ ( ? [SY10: $i > $o,SY11: $i > $o] :
( ! [SY12: $i > $o] :
( ~ ( SY12 @ ( sK1_Xh @ SY10 ) )
| ( SY12 @ ( sK1_Xh @ SY11 ) ) )
& ? [Xx: $i] :
~ ( ( SY10 @ Xx )
<=> ( SY11 @ Xx ) ) )
| ! [SY14: $i > $o] :
( ( SY14 @ ( sK1_Xh @ SY14 ) )
| ? [SY15: $i > $o] :
( ( SY15
@ ( sK1_Xh
@ ^ [SY16: $i] :
? [SY17: $i > $o] :
( ~ ( SY17 @ ( sK1_Xh @ SY17 ) )
& ! [SY18: $i > $o] :
( ~ ( SY18 @ SY16 )
| ( SY18 @ ( sK1_Xh @ SY17 ) ) ) ) ) )
& ~ ( SY15 @ ( sK1_Xh @ SY14 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY19: $i > $o] :
( ~ ( SY19
@ ( sK1_Xh
@ ^ [SY16: $i] :
? [SY17: $i > $o] :
( ~ ( SY17 @ ( sK1_Xh @ SY17 ) )
& ! [SY18: $i > $o] :
( ~ ( SY18 @ SY16 )
| ( SY18 @ ( sK1_Xh @ SY17 ) ) ) ) ) )
| ( SY19 @ ( sK1_Xh @ sK3_SY14 ) ) )
& ~ ( sK3_SY14 @ ( sK1_Xh @ sK3_SY14 ) )
& ! [SY10: $i > $o,SY11: $i > $o] :
( ( ( sK2_SY12 @ SY11 @ SY10 @ ( sK1_Xh @ SY10 ) )
& ~ ( sK2_SY12 @ SY11 @ SY10 @ ( sK1_Xh @ SY11 ) ) )
| ( ! [Xx: $i] :
( ~ ( SY10 @ Xx )
| ( SY11 @ Xx ) )
& ! [Xx: $i] :
( ~ ( SY11 @ Xx )
| ( SY10 @ Xx ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY19: $i > $o] :
( ~ ( SY19
@ ( sK1_Xh
@ ^ [SY16: $i] :
? [SY17: $i > $o] :
( ~ ( SY17 @ ( sK1_Xh @ SY17 ) )
& ! [SY18: $i > $o] :
( ~ ( SY18 @ SY16 )
| ( SY18 @ ( sK1_Xh @ SY17 ) ) ) ) ) )
| ( SY19 @ ( sK1_Xh @ sK3_SY14 ) ) )
& ~ ( sK3_SY14 @ ( sK1_Xh @ sK3_SY14 ) )
& ! [SY10: $i > $o,SY11: $i > $o] :
( ( ( sK2_SY12 @ SY11 @ SY10 @ ( sK1_Xh @ SY10 ) )
& ~ ( sK2_SY12 @ SY11 @ SY10 @ ( sK1_Xh @ SY11 ) ) )
| ( ! [Xx: $i] :
( ~ ( SY10 @ Xx )
| ( SY11 @ Xx ) )
& ! [Xx: $i] :
( ~ ( SY11 @ Xx )
| ( SY10 @ Xx ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i > $o] :
( ~ ( SX0
@ ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ~ ! [SX3: $i > $o] :
( ~ ( SX3 @ SX1 )
| ( SX3 @ ( sK1_Xh @ SX2 ) ) ) ) ) )
| ( SX0 @ ( sK1_Xh @ sK3_SY14 ) ) )
| ~ ~ ( sK3_SY14 @ ( sK1_Xh @ sK3_SY14 ) ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( sK2_SY12 @ SX1 @ SX0 @ ( sK1_Xh @ SX0 ) )
| ~ ~ ( sK2_SY12 @ SX1 @ SX0 @ ( sK1_Xh @ SX1 ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
( ( ~ ~ ( ~ ! [SX0: $i > $o] :
( ~ ( SX0
@ ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ~ ! [SX3: $i > $o] :
( ~ ( SX3 @ SX1 )
| ( SX3 @ ( sK1_Xh @ SX2 ) ) ) ) ) )
| ( SX0 @ ( sK1_Xh @ sK3_SY14 ) ) )
| ~ ~ ( sK3_SY14 @ ( sK1_Xh @ sK3_SY14 ) ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( sK2_SY12 @ SX1 @ SX0 @ ( sK1_Xh @ SX0 ) )
| ~ ~ ( sK2_SY12 @ SX1 @ SX0 @ ( sK1_Xh @ SX1 ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( SX0 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[8]) ).
thf(10,plain,
( ( ~ ~ ( ~ ! [SX0: $i > $o] :
( ~ ( SX0
@ ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ~ ! [SX3: $i > $o] :
( ~ ( SX3 @ SX1 )
| ( SX3 @ ( sK1_Xh @ SX2 ) ) ) ) ) )
| ( SX0 @ ( sK1_Xh @ sK3_SY14 ) ) )
| ~ ~ ( sK3_SY14 @ ( sK1_Xh @ sK3_SY14 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[9]) ).
thf(11,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( sK2_SY12 @ SX1 @ SX0 @ ( sK1_Xh @ SX0 ) )
| ~ ~ ( sK2_SY12 @ SX1 @ SX0 @ ( sK1_Xh @ SX1 ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( SX0 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ( ~ ! [SX0: $i > $o] :
( ~ ( SX0
@ ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ~ ! [SX3: $i > $o] :
( ~ ( SX3 @ SX1 )
| ( SX3 @ ( sK1_Xh @ SX2 ) ) ) ) ) )
| ( SX0 @ ( sK1_Xh @ sK3_SY14 ) ) )
| ~ ~ ( sK3_SY14 @ ( sK1_Xh @ sK3_SY14 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(13,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( sK2_SY12 @ SX1 @ SX0 @ ( sK1_Xh @ SX0 ) )
| ~ ~ ( sK2_SY12 @ SX1 @ SX0 @ ( sK1_Xh @ SX1 ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( SX0 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ! [SX0: $i > $o] :
( ~ ( SX0
@ ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ~ ! [SX3: $i > $o] :
( ~ ( SX3 @ SX1 )
| ( SX3 @ ( sK1_Xh @ SX2 ) ) ) ) ) )
| ( SX0 @ ( sK1_Xh @ sK3_SY14 ) ) )
| ~ ~ ( sK3_SY14 @ ( sK1_Xh @ sK3_SY14 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: $i > $o] :
( ( ! [SY23: $i > $o] :
( ~ ( ~ ( sK2_SY12 @ SY23 @ SV1 @ ( sK1_Xh @ SV1 ) )
| ~ ~ ( sK2_SY12 @ SY23 @ SV1 @ ( sK1_Xh @ SY23 ) ) )
| ~ ( ~ ! [SY24: $i] :
( ~ ( SV1 @ SY24 )
| ( SY23 @ SY24 ) )
| ~ ! [SY25: $i] :
( ~ ( SY23 @ SY25 )
| ( SV1 @ SY25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ! [SX0: $i > $o] :
( ~ ( SX0
@ ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ~ ! [SX3: $i > $o] :
( ~ ( SX3 @ SX1 )
| ( SX3 @ ( sK1_Xh @ SX2 ) ) ) ) ) )
| ( SX0 @ ( sK1_Xh @ sK3_SY14 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ( sK3_SY14 @ ( sK1_Xh @ sK3_SY14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ~ ( ~ ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
| ~ ~ ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) ) )
| ~ ( ~ ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) )
| ~ ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ! [SX0: $i > $o] :
( ~ ( SX0
@ ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ~ ! [SX3: $i > $o] :
( ~ ( SX3 @ SX1 )
| ( SX3 @ ( sK1_Xh @ SX2 ) ) ) ) ) )
| ( SX0 @ ( sK1_Xh @ sK3_SY14 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ( sK3_SY14 @ ( sK1_Xh @ sK3_SY14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( ~ ( ~ ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
| ~ ~ ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) )
| ~ ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
! [SV3: $i > $o] :
( ( ~ ( SV3
@ ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ~ ! [SX3: $i > $o] :
( ~ ( SX3 @ SX1 )
| ( SX3 @ ( sK1_Xh @ SX2 ) ) ) ) ) )
| ( SV3 @ ( sK1_Xh @ sK3_SY14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( sK3_SY14 @ ( sK1_Xh @ sK3_SY14 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( ~ ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
| ~ ~ ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) )
| ~ ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV3: $i > $o] :
( ( ( ~ ( SV3
@ ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ~ ! [SX3: $i > $o] :
( ~ ( SX3 @ SX1 )
| ( SX3 @ ( sK1_Xh @ SX2 ) ) ) ) ) ) )
= $true )
| ( ( SV3 @ ( sK1_Xh @ sK3_SY14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( ~ ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) )
| ~ ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(27,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( ~ ~ ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) )
| ~ ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(28,plain,
! [SV3: $i > $o] :
( ( ( SV3
@ ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ~ ! [SX3: $i > $o] :
( ~ ( SX3 @ SX1 )
| ( SX3 @ ( sK1_Xh @ SX2 ) ) ) ) ) )
= $false )
| ( ( SV3 @ ( sK1_Xh @ sK3_SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
= $true )
| ( ( ~ ( ~ ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) )
| ~ ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( ~ ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) )
| ~ ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) )
| ~ ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) )
= $false )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) )
= $false )
| ( ( ~ ( ~ ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) )
| ~ ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) ) )
= $false )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(34,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( ~ ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) )
= $false )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(35,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) )
| ~ ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) )
= $false )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) ) )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(37,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(38,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) ) )
= $false )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(39,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( ~ ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) )
= $false )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(40,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV4 )
| ( SV2 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV1: $i > $o,SV5: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV5 )
| ( SV1 @ SV5 ) )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(42,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ! [SY26: $i] :
( ~ ( SV1 @ SY26 )
| ( SV2 @ SY26 ) ) )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( ! [SY27: $i] :
( ~ ( SV2 @ SY27 )
| ( SV1 @ SY27 ) ) )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV4 ) )
= $true )
| ( ( SV2 @ SV4 )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV1: $i > $o,SV5: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV5 ) )
= $true )
| ( ( SV1 @ SV5 )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV6 )
| ( SV2 @ SV6 ) )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV1: $i > $o,SV7: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV7 )
| ( SV1 @ SV7 ) )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ SV4 )
= $false )
| ( ( SV2 @ SV4 )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV1: $i > $o,SV5: $i,SV2: $i > $o] :
( ( ( SV2 @ SV5 )
= $false )
| ( ( SV1 @ SV5 )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV6 ) )
= $true )
| ( ( SV2 @ SV6 )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV1: $i > $o,SV7: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV7 ) )
= $true )
| ( ( SV1 @ SV7 )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $false )
| ( ( SV2 @ SV6 )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(53,plain,
! [SV1: $i > $o,SV7: $i,SV2: $i > $o] :
( ( ( SV2 @ SV7 )
= $false )
| ( ( SV1 @ SV7 )
= $true )
| ( ( sK2_SY12 @ SV2 @ SV1 @ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(54,plain,
( ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ~ ! [SX2: $i > $o] :
( ~ ( SX2 @ SX0 )
| ( SX2 @ ( sK1_Xh @ SX1 ) ) ) ) )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ~ ! [SX2: $i > $o] :
( ~ ( SX2 @ SX0 )
| ( SX2 @ ( sK1_Xh @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK1_Xh @ sK3_SY14 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ~ ! [SX2: $i > $o] :
( ~ ( SX2 @ SX0 )
| ( SX2 @ ( sK1_Xh @ SX1 ) ) ) ) ) )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[28:[bind(SV3,$thf( ^ [SV8: $i] : ( SV8 = ( sK1_Xh @ ^ [SX1: $i] : ~ ( ! [SX2: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX2 @ ( sK1_Xh @ SX2 ) ) ) | ~ ( ! [SX3: $i > $o] : ( ~ ( SX3 @ SX1 ) | ( SX3 @ ( sK1_Xh @ SX2 ) ) ) ) ) ) ) ) ) ))]]) ).
thf(55,plain,
( ( ( sK1_Xh @ sK3_SY14 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ~ ! [SX2: $i > $o] :
( ~ ( SX2 @ SX0 )
| ( SX2 @ ( sK1_Xh @ SX1 ) ) ) ) ) )
= $true ),
inference(sim,[status(thm)],[54]) ).
thf(57,plain,
! [SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ SV4 )
= $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i] : $false
@ SV1
@ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV2,$thf( ^ [SV11: $i] : $false ))]]) ).
thf(58,plain,
! [SV10: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ SV4 )
= $false )
| ( ( ~ ( SV10 @ SV4 ) )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 )
@ SV1
@ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV2,$thf( ^ [SV9: $i] : ~ ( SV10 @ SV9 ) ))]]) ).
thf(59,plain,
! [SV4: $i,SV2: $i > $o] :
( ( $true = $false )
| ( ( SV2 @ SV4 )
= $true )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] : $true
@ ( sK1_Xh
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV1,$thf( ^ [SV16: $i] : $true ))]]) ).
thf(61,plain,
! [SV2: $i > $o,SV4: $i,SV14: $i > $o] :
( ( ( ~ ( SV14 @ SV4 ) )
= $false )
| ( ( SV2 @ SV4 )
= $true )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV1,$thf( ^ [SV13: $i] : ~ ( SV14 @ SV13 ) ))]]) ).
thf(62,plain,
! [SV5: $i,SV1: $i > $o] :
( ( $true = $false )
| ( ( SV1 @ SV5 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i] : $true
@ SV1
@ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[49:[bind(SV2,$thf( ^ [SV12: $i] : $true ))]]) ).
thf(64,plain,
! [SV1: $i > $o,SV5: $i,SV10: $i > $o] :
( ( ( ~ ( SV10 @ SV5 ) )
= $false )
| ( ( SV1 @ SV5 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 )
@ SV1
@ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[49:[bind(SV2,$thf( ^ [SV9: $i] : ~ ( SV10 @ SV9 ) ))]]) ).
thf(66,plain,
! [SV5: $i,SV2: $i > $o] :
( ( ( SV2 @ SV5 )
= $false )
| ( $false = $true )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] : $false
@ ( sK1_Xh
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(prim_subst,[status(thm)],[49:[bind(SV1,$thf( ^ [SV15: $i] : $false ))]]) ).
thf(67,plain,
! [SV14: $i > $o,SV5: $i,SV2: $i > $o] :
( ( ( SV2 @ SV5 )
= $false )
| ( ( ~ ( SV14 @ SV5 ) )
= $true )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[49:[bind(SV1,$thf( ^ [SV13: $i] : ~ ( SV14 @ SV13 ) ))]]) ).
thf(69,plain,
! [SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i] : $false
@ SV1
@ ( sK1_Xh
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(prim_subst,[status(thm)],[52:[bind(SV2,$thf( ^ [SV11: $i] : $false ))]]) ).
thf(70,plain,
! [SV10: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $false )
| ( ( ~ ( SV10 @ SV6 ) )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 )
@ SV1
@ ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[52:[bind(SV2,$thf( ^ [SV9: $i] : ~ ( SV10 @ SV9 ) ))]]) ).
thf(71,plain,
! [SV6: $i,SV2: $i > $o] :
( ( $true = $false )
| ( ( SV2 @ SV6 )
= $true )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] : $true
@ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[52:[bind(SV1,$thf( ^ [SV16: $i] : $true ))]]) ).
thf(73,plain,
! [SV2: $i > $o,SV6: $i,SV14: $i > $o] :
( ( ( ~ ( SV14 @ SV6 ) )
= $false )
| ( ( SV2 @ SV6 )
= $true )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[52:[bind(SV1,$thf( ^ [SV13: $i] : ~ ( SV14 @ SV13 ) ))]]) ).
thf(74,plain,
! [SV7: $i,SV1: $i > $o] :
( ( $true = $false )
| ( ( SV1 @ SV7 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i] : $true
@ SV1
@ ( sK1_Xh
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[53:[bind(SV2,$thf( ^ [SV12: $i] : $true ))]]) ).
thf(76,plain,
! [SV1: $i > $o,SV7: $i,SV10: $i > $o] :
( ( ( ~ ( SV10 @ SV7 ) )
= $false )
| ( ( SV1 @ SV7 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 )
@ SV1
@ ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[53:[bind(SV2,$thf( ^ [SV9: $i] : ~ ( SV10 @ SV9 ) ))]]) ).
thf(78,plain,
! [SV7: $i,SV2: $i > $o] :
( ( ( SV2 @ SV7 )
= $false )
| ( $false = $true )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] : $false
@ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[53:[bind(SV1,$thf( ^ [SV15: $i] : $false ))]]) ).
thf(79,plain,
! [SV14: $i > $o,SV7: $i,SV2: $i > $o] :
( ( ( SV2 @ SV7 )
= $false )
| ( ( ~ ( SV14 @ SV7 ) )
= $true )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[53:[bind(SV1,$thf( ^ [SV13: $i] : ~ ( SV14 @ SV13 ) ))]]) ).
thf(80,plain,
! [SV1: $i > $o,SV4: $i,SV10: $i > $o] :
( ( ( SV10 @ SV4 )
= $false )
| ( ( SV1 @ SV4 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 )
@ SV1
@ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(81,plain,
! [SV2: $i > $o,SV4: $i,SV14: $i > $o] :
( ( ( SV14 @ SV4 )
= $true )
| ( ( SV2 @ SV4 )
= $true )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(82,plain,
! [SV1: $i > $o,SV5: $i,SV10: $i > $o] :
( ( ( SV10 @ SV5 )
= $true )
| ( ( SV1 @ SV5 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 )
@ SV1
@ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(83,plain,
! [SV2: $i > $o,SV5: $i,SV14: $i > $o] :
( ( ( SV14 @ SV5 )
= $false )
| ( ( SV2 @ SV5 )
= $false )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(84,plain,
! [SV1: $i > $o,SV6: $i,SV10: $i > $o] :
( ( ( SV10 @ SV6 )
= $false )
| ( ( SV1 @ SV6 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 )
@ SV1
@ ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(85,plain,
! [SV2: $i > $o,SV6: $i,SV14: $i > $o] :
( ( ( SV14 @ SV6 )
= $true )
| ( ( SV2 @ SV6 )
= $true )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(86,plain,
! [SV1: $i > $o,SV7: $i,SV10: $i > $o] :
( ( ( SV10 @ SV7 )
= $true )
| ( ( SV1 @ SV7 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 )
@ SV1
@ ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(87,plain,
! [SV2: $i > $o,SV7: $i,SV14: $i > $o] :
( ( ( SV14 @ SV7 )
= $false )
| ( ( SV2 @ SV7 )
= $false )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(88,plain,
! [SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ SV4 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i] : $false
@ SV1
@ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[57]) ).
thf(89,plain,
! [SV4: $i,SV2: $i > $o] :
( ( ( SV2 @ SV4 )
= $true )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] : $true
@ ( sK1_Xh
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[59]) ).
thf(90,plain,
! [SV5: $i,SV1: $i > $o] :
( ( ( SV1 @ SV5 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i] : $true
@ SV1
@ ( sK1_Xh @ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[62]) ).
thf(91,plain,
! [SV5: $i,SV2: $i > $o] :
( ( ( SV2 @ SV5 )
= $false )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] : $false
@ ( sK1_Xh
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[66]) ).
thf(92,plain,
! [SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i] : $false
@ SV1
@ ( sK1_Xh
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[69]) ).
thf(93,plain,
! [SV6: $i,SV2: $i > $o] :
( ( ( SV2 @ SV6 )
= $true )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] : $true
@ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(sim,[status(thm)],[71]) ).
thf(94,plain,
! [SV7: $i,SV1: $i > $o] :
( ( ( SV1 @ SV7 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i] : $true
@ SV1
@ ( sK1_Xh
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[74]) ).
thf(95,plain,
! [SV7: $i,SV2: $i > $o] :
( ( ( SV2 @ SV7 )
= $false )
| ( ( sK2_SY12 @ SV2
@ ^ [SX0: $i] : $false
@ ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(sim,[status(thm)],[78]) ).
thf(96,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,55,53,52,49,48]) ).
thf(97,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO324^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % 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 Jul 9 04:32:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 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:0,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:2,loop_count:0,foatp_calls:0,translation:fof_full)........eprover: CPU time limit exceeded, terminating
% 25.17/25.43 .
% 26.04/26.28
% 26.04/26.28 ********************************
% 26.04/26.28 * All subproblems solved! *
% 26.04/26.28 ********************************
% 26.04/26.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,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:96,loop_count:0,foatp_calls:2,translation:fof_full)
% 26.04/26.29
% 26.04/26.29 %**** Beginning of derivation protocol ****
% 26.04/26.29 % SZS output start CNFRefutation
% See solution above
% 26.04/26.29
% 26.04/26.29 %**** End of derivation protocol ****
% 26.04/26.29 %**** no. of clauses in derivation: 89 ****
% 26.04/26.29 %**** clause counter: 96 ****
% 26.04/26.29
% 26.04/26.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,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:96,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------