TSTP Solution File: SEV382^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV382^5 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 17:36:27 EDT 2022
% Result : Theorem 0.37s 0.58s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 7
% Syntax : Number of formulae : 113 ( 24 unt; 6 typ; 0 def)
% Number of atoms : 568 ( 245 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 1267 ( 464 ~; 167 |; 15 &; 592 @)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 92 ( 92 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 316 ( 87 ^ 217 !; 12 ?; 316 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_Xr,type,
sK1_Xr: a > a > $o ).
thf(tp_sK2_SY9,type,
sK2_SY9: a > $o ).
thf(tp_sK3_SY23,type,
sK3_SY23: a ).
thf(tp_sK4_SY12,type,
sK4_SY12: ( a > $o ) > a ).
thf(tp_sK5_SY22,type,
sK5_SY22: a > a ).
thf(1,conjecture,
! [Xr: a > a > $o,P: a > $o] :
( ( ! [Xs: a > $o] :
( ? [Xz: a] : ( Xs @ Xz )
=> ? [Xy: a] :
( ( Xs @ Xy )
& ! [Xw: a] :
( ( Xr @ Xw @ Xy )
=> ~ ( Xs @ Xw ) ) ) )
& ! [Xx: a] :
( ! [Xy: a] :
( ( Xr @ Xy @ Xx )
=> ( P @ Xy ) )
=> ( P @ Xx ) ) )
=> ! [Xx: a] : ( P @ Xx ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRANS_IND) ).
thf(2,negated_conjecture,
( ( ! [Xr: a > a > $o,P: a > $o] :
( ( ! [Xs: a > $o] :
( ? [Xz: a] : ( Xs @ Xz )
=> ? [Xy: a] :
( ( Xs @ Xy )
& ! [Xw: a] :
( ( Xr @ Xw @ Xy )
=> ~ ( Xs @ Xw ) ) ) )
& ! [Xx: a] :
( ! [Xy: a] :
( ( Xr @ Xy @ Xx )
=> ( P @ Xy ) )
=> ( P @ Xx ) ) )
=> ! [Xx: a] : ( P @ Xx ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xr: a > a > $o,P: a > $o] :
( ( ! [Xs: a > $o] :
( ? [Xz: a] : ( Xs @ Xz )
=> ? [Xy: a] :
( ( Xs @ Xy )
& ! [Xw: a] :
( ( Xr @ Xw @ Xy )
=> ~ ( Xs @ Xw ) ) ) )
& ! [Xx: a] :
( ! [Xy: a] :
( ( Xr @ Xy @ Xx )
=> ( P @ Xy ) )
=> ( P @ Xx ) ) )
=> ! [Xx: a] : ( P @ Xx ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY9: a > $o] :
( ( ! [SY10: a > $o] :
( ? [Xz: a] : ( SY10 @ Xz )
=> ? [SY12: a] :
( ( SY10 @ SY12 )
& ! [SY13: a] :
( ( sK1_Xr @ SY13 @ SY12 )
=> ~ ( SY10 @ SY13 ) ) ) )
& ! [SY14: a] :
( ! [SY15: a] :
( ( sK1_Xr @ SY15 @ SY14 )
=> ( SY9 @ SY15 ) )
=> ( SY9 @ SY14 ) ) )
=> ! [Xx: a] : ( SY9 @ Xx ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ! [SY10: a > $o] :
( ? [Xz: a] : ( SY10 @ Xz )
=> ? [SY12: a] :
( ( SY10 @ SY12 )
& ! [SY13: a] :
( ( sK1_Xr @ SY13 @ SY12 )
=> ~ ( SY10 @ SY13 ) ) ) )
& ! [SY21: a] :
( ! [SY22: a] :
( ( sK1_Xr @ SY22 @ SY21 )
=> ( sK2_SY9 @ SY22 ) )
=> ( sK2_SY9 @ SY21 ) ) )
=> ! [SY23: a] : ( sK2_SY9 @ SY23 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY10: a > $o] :
( ? [Xz: a] : ( SY10 @ Xz )
=> ? [SY12: a] :
( ( SY10 @ SY12 )
& ! [SY13: a] :
( ( sK1_Xr @ SY13 @ SY12 )
=> ~ ( SY10 @ SY13 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY21: a] :
( ! [SY22: a] :
( ( sK1_Xr @ SY22 @ SY21 )
=> ( sK2_SY9 @ SY22 ) )
=> ( sK2_SY9 @ SY21 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [SY23: a] : ( sK2_SY9 @ SY23 ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(9,plain,
( ( ~ ! [SY23: a] : ( sK2_SY9 @ SY23 ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ~ ( sK2_SY9 @ sK3_SY23 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(11,plain,
( ( ! [SY10: a > $o] :
( ! [Xz: a] :
~ ( SY10 @ Xz )
| ( ! [SY24: a] :
( ~ ( sK1_Xr @ SY24 @ ( sK4_SY12 @ SY10 ) )
| ~ ( SY10 @ SY24 ) )
& ( SY10 @ ( sK4_SY12 @ SY10 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(12,plain,
( ( ! [SY21: a] :
( ( ( sK1_Xr @ ( sK5_SY22 @ SY21 ) @ SY21 )
& ~ ( sK2_SY9 @ ( sK5_SY22 @ SY21 ) ) )
| ( sK2_SY9 @ SY21 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(13,plain,
( ( ! [SY21: a] :
( ( ( sK1_Xr @ ( sK5_SY22 @ SY21 ) @ SY21 )
& ~ ( sK2_SY9 @ ( sK5_SY22 @ SY21 ) ) )
| ( sK2_SY9 @ SY21 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SY10: a > $o] :
( ! [Xz: a] :
~ ( SY10 @ Xz )
| ( ! [SY24: a] :
( ~ ( sK1_Xr @ SY24 @ ( sK4_SY12 @ SY10 ) )
| ~ ( SY10 @ SY24 ) )
& ( SY10 @ ( sK4_SY12 @ SY10 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ( sK2_SY9 @ sK3_SY23 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(16,plain,
( ( ! [SX0: a > $o] :
( ! [SX1: a] :
~ ( SX0 @ SX1 )
| ~ ( ~ ! [SX1: a] :
( ~ ( sK1_Xr @ SX1 @ ( sK4_SY12 @ SX0 ) )
| ~ ( SX0 @ SX1 ) )
| ~ ( SX0 @ ( sK4_SY12 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(17,plain,
( ( ! [SX0: a] :
( ~ ( ~ ( sK1_Xr @ ( sK5_SY22 @ SX0 ) @ SX0 )
| ~ ~ ( sK2_SY9 @ ( sK5_SY22 @ SX0 ) ) )
| ( sK2_SY9 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(18,plain,
( ( sK2_SY9 @ sK3_SY23 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV1: a > $o] :
( ( ! [SY25: a] :
~ ( SV1 @ SY25 )
| ~ ( ~ ! [SY26: a] :
( ~ ( sK1_Xr @ SY26 @ ( sK4_SY12 @ SV1 ) )
| ~ ( SV1 @ SY26 ) )
| ~ ( SV1 @ ( sK4_SY12 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
! [SV2: a] :
( ( ~ ( ~ ( sK1_Xr @ ( sK5_SY22 @ SV2 ) @ SV2 )
| ~ ~ ( sK2_SY9 @ ( sK5_SY22 @ SV2 ) ) )
| ( sK2_SY9 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: a > $o] :
( ( ( ! [SY25: a] :
~ ( SV1 @ SY25 ) )
= $true )
| ( ( ~ ( ~ ! [SY26: a] :
( ~ ( sK1_Xr @ SY26 @ ( sK4_SY12 @ SV1 ) )
| ~ ( SV1 @ SY26 ) )
| ~ ( SV1 @ ( sK4_SY12 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV2: a] :
( ( ( ~ ( ~ ( sK1_Xr @ ( sK5_SY22 @ SV2 ) @ SV2 )
| ~ ~ ( sK2_SY9 @ ( sK5_SY22 @ SV2 ) ) ) )
= $true )
| ( ( sK2_SY9 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV3: a,SV1: a > $o] :
( ( ( ~ ( SV1 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ! [SY26: a] :
( ~ ( sK1_Xr @ SY26 @ ( sK4_SY12 @ SV1 ) )
| ~ ( SV1 @ SY26 ) )
| ~ ( SV1 @ ( sK4_SY12 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV2: a] :
( ( ( ~ ( sK1_Xr @ ( sK5_SY22 @ SV2 ) @ SV2 )
| ~ ~ ( sK2_SY9 @ ( sK5_SY22 @ SV2 ) ) )
= $false )
| ( ( sK2_SY9 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
! [SV3: a,SV1: a > $o] :
( ( ( SV1 @ SV3 )
= $false )
| ( ( ~ ( ~ ! [SY26: a] :
( ~ ( sK1_Xr @ SY26 @ ( sK4_SY12 @ SV1 ) )
| ~ ( SV1 @ SY26 ) )
| ~ ( SV1 @ ( sK4_SY12 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(26,plain,
! [SV2: a] :
( ( ( ~ ( sK1_Xr @ ( sK5_SY22 @ SV2 ) @ SV2 ) )
= $false )
| ( ( sK2_SY9 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(27,plain,
! [SV2: a] :
( ( ( ~ ~ ( sK2_SY9 @ ( sK5_SY22 @ SV2 ) ) )
= $false )
| ( ( sK2_SY9 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(28,plain,
! [SV3: a,SV1: a > $o] :
( ( ( ~ ! [SY26: a] :
( ~ ( sK1_Xr @ SY26 @ ( sK4_SY12 @ SV1 ) )
| ~ ( SV1 @ SY26 ) )
| ~ ( SV1 @ ( sK4_SY12 @ SV1 ) ) )
= $false )
| ( ( SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV2: a] :
( ( ( sK1_Xr @ ( sK5_SY22 @ SV2 ) @ SV2 )
= $true )
| ( ( sK2_SY9 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: a] :
( ( ( ~ ( sK2_SY9 @ ( sK5_SY22 @ SV2 ) ) )
= $true )
| ( ( sK2_SY9 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV3: a,SV1: a > $o] :
( ( ( ~ ! [SY26: a] :
( ~ ( sK1_Xr @ SY26 @ ( sK4_SY12 @ SV1 ) )
| ~ ( SV1 @ SY26 ) ) )
= $false )
| ( ( SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(32,plain,
! [SV3: a,SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK4_SY12 @ SV1 ) ) )
= $false )
| ( ( SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(33,plain,
! [SV2: a] :
( ( ( sK2_SY9 @ ( sK5_SY22 @ SV2 ) )
= $false )
| ( ( sK2_SY9 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV3: a,SV1: a > $o] :
( ( ( ! [SY26: a] :
( ~ ( sK1_Xr @ SY26 @ ( sK4_SY12 @ SV1 ) )
| ~ ( SV1 @ SY26 ) ) )
= $true )
| ( ( SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(35,plain,
! [SV3: a,SV1: a > $o] :
( ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
= $true )
| ( ( SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV3: a,SV1: a > $o,SV4: a] :
( ( ( ~ ( sK1_Xr @ SV4 @ ( sK4_SY12 @ SV1 ) )
| ~ ( SV1 @ SV4 ) )
= $true )
| ( ( SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(37,plain,
! [SV3: a,SV1: a > $o,SV4: a] :
( ( ( ~ ( sK1_Xr @ SV4 @ ( sK4_SY12 @ SV1 ) ) )
= $true )
| ( ( ~ ( SV1 @ SV4 ) )
= $true )
| ( ( SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(38,plain,
! [SV3: a,SV1: a > $o,SV4: a] :
( ( ( sK1_Xr @ SV4 @ ( sK4_SY12 @ SV1 ) )
= $false )
| ( ( ~ ( SV1 @ SV4 ) )
= $true )
| ( ( SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(39,plain,
! [SV3: a,SV4: a,SV1: a > $o] :
( ( ( SV1 @ SV4 )
= $false )
| ( ( sK1_Xr @ SV4 @ ( sK4_SY12 @ SV1 ) )
= $false )
| ( ( SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(42,plain,
! [SV3: a,SV6: a > $o] :
( ( ( ~ ( SV6
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV6 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV6 @ SV3 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV1,$thf( ^ [SV5: a] : ~ ( SV6 @ SV5 ) ))]]) ).
thf(43,plain,
! [SV3: a] :
( ( ( ( sK4_SY12
@ ^ [SX0: a] : ( SX0 = sK3_SY23 ) )
= sK3_SY23 )
= $true )
| ( ( SV3 = sK3_SY23 )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV1,$thf( ^ [SV9: a] : ( SV9 = sK3_SY23 ) ))]]) ).
thf(44,plain,
! [SV4: a] :
( ( $true = $false )
| ( ( sK1_Xr @ SV4
@ ( sK4_SY12
@ ^ [SX0: a] : $true ) )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV1,$thf( ^ [SV8: a] : $true ))]]) ).
thf(46,plain,
! [SV3: a,SV4: a,SV6: a > $o] :
( ( ( ~ ( SV6 @ SV4 ) )
= $false )
| ( ( sK1_Xr @ SV4
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV6 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV6 @ SV3 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV1,$thf( ^ [SV5: a] : ~ ( SV6 @ SV5 ) ))]]) ).
thf(47,plain,
! [SV3: a,SV4: a] :
( ( ( SV4 = sK3_SY23 )
= $false )
| ( ( sK1_Xr @ SV4
@ ( sK4_SY12
@ ^ [SX0: a] : ( SX0 = sK3_SY23 ) ) )
= $false )
| ( ( SV3 = sK3_SY23 )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV1,$thf( ^ [SV9: a] : ( SV9 = sK3_SY23 ) ))]]) ).
thf(48,plain,
! [SV2: a] :
( ( ( sK2_SY9 @ SV2 )
= $true )
| ( ( ( sK1_Xr @ ( sK5_SY22 @ SV2 ) @ SV2 )
= ( sK2_SY9 @ SV2 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[29]) ).
thf(49,plain,
! [SV3: a,SV1: a > $o] :
( ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
= $true )
| ( ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
= ( ~ ( SV1 @ SV3 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[35]) ).
thf(50,plain,
! [SV2: a] :
( ( ( ~ ( ( sK1_Xr @ ( sK5_SY22 @ SV2 ) @ SV2 )
| ( sK2_SY9 @ SV2 ) )
| ~ ( ~ ( sK1_Xr @ ( sK5_SY22 @ SV2 ) @ SV2 )
| ~ ( sK2_SY9 @ SV2 ) ) )
= $false )
| ( ( sK2_SY9 @ SV2 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[48]) ).
thf(52,plain,
! [SV3: a,SV1: a > $o] :
( ( ( ~ ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
| ~ ( SV1 @ SV3 ) )
| ~ ( ~ ( SV1 @ ( sK4_SY12 @ SV1 ) )
| ~ ~ ( SV1 @ SV3 ) ) )
= $false )
| ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[49]) ).
thf(53,plain,
! [SV3: a,SV1: a > $o] :
( ( ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
= ( ~ ( SV1 @ SV3 ) ) )
= $false )
| ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[49]) ).
thf(54,plain,
! [SV2: a] :
( ( ( ~ ( ( sK1_Xr @ ( sK5_SY22 @ SV2 ) @ SV2 )
| ( sK2_SY9 @ SV2 ) ) )
= $false )
| ( ( sK2_SY9 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(56,plain,
! [SV3: a,SV1: a > $o] :
( ( ( ~ ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
| ~ ( SV1 @ SV3 ) ) )
= $false )
| ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(58,plain,
! [SV2: a] :
( ( ( ( sK1_Xr @ ( sK5_SY22 @ SV2 ) @ SV2 )
| ( sK2_SY9 @ SV2 ) )
= $true )
| ( ( sK2_SY9 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(60,plain,
! [SV3: a,SV1: a > $o] :
( ( ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
| ~ ( SV1 @ SV3 ) )
= $true )
| ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(62,plain,
! [SV2: a] :
( ( ( sK1_Xr @ ( sK5_SY22 @ SV2 ) @ SV2 )
= $true )
| ( ( sK2_SY9 @ SV2 )
= $true )
| ( ( sK2_SY9 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(64,plain,
! [SV3: a,SV1: a > $o] :
( ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ SV3 ) )
= $true )
| ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(67,plain,
! [SV3: a,SV1: a > $o] :
( ( ( SV1 @ SV3 )
= $false )
| ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV3: a,SV24: a > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV24 @ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[53:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( ~ ( ~ ( ~ ( SV24 @ SX0 ) ) ) ) ) ))]]) ).
thf(75,plain,
! [SV3: a,SV21: a > $o] :
( ( ( ~ ~ ~ ~ ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV21 @ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[53:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( ~ ( ~ ( SV21 @ SX0 ) ) ) ) ))]]) ).
thf(76,plain,
! [SV3: a,SV18: a > $o] :
( ( ( ~ ~ ~ ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV18 @ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[53:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( ~ ( SV18 @ SX0 ) ) ) ))]]) ).
thf(79,plain,
! [SV3: a,SV15: a > $o] :
( ( ( ~ ~ ( SV15
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ( SV15 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV15
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ( SV15 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV15 @ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[53:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( SV15 @ SX0 ) ) ))]]) ).
thf(80,plain,
! [SV3: a,SV12: a > $o] :
( ( ( ~ ( SV12
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV12
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV12 @ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[53:[bind(SV1,$thf( ^ [SX0: a] : ~ ( SV12 @ SX0 ) ))]]) ).
thf(83,plain,
! [SV3: a,SV12: a > $o] :
( ( ( SV12
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV12
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV12 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(84,plain,
! [SV3: a,SV15: a > $o] :
( ( ( ~ ( SV15
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ( SV15 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV15
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ( SV15 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV15 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(87,plain,
! [SV3: a,SV18: a > $o] :
( ( ( ~ ~ ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV18 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(88,plain,
! [SV3: a,SV21: a > $o] :
( ( ( ~ ~ ~ ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV21 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(91,plain,
! [SV3: a,SV24: a > $o] :
( ( ( ~ ~ ~ ~ ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV24 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(93,plain,
! [SV3: a,SV12: a > $o] :
( ( ( SV12
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( SV12
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV12 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV3: a,SV15: a > $o] :
( ( ( SV15
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ( SV15 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV15
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ( SV15 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV15 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(97,plain,
! [SV3: a,SV18: a > $o] :
( ( ( ~ ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV18 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(98,plain,
! [SV3: a,SV21: a > $o] :
( ( ( ~ ~ ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV21 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(101,plain,
! [SV3: a,SV24: a > $o] :
( ( ( ~ ~ ~ ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV24 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(103,plain,
! [SV3: a,SV12: a > $o] :
( ( ( ~ ( SV12 @ SV3 ) )
= $false )
| ( ( SV12
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( SV12
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(104,plain,
! [SV3: a,SV15: a > $o] :
( ( ( SV15
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ( SV15 @ SX0 ) ) )
= $true )
| ( ( SV15
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ( SV15 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV15 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(107,plain,
! [SV3: a,SV18: a > $o] :
( ( ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV18 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(108,plain,
! [SV3: a,SV21: a > $o] :
( ( ( ~ ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV21 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(111,plain,
! [SV3: a,SV24: a > $o] :
( ( ( ~ ~ ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV24 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(113,plain,
! [SV3: a,SV12: a > $o] :
( ( ( SV12 @ SV3 )
= $true )
| ( ( SV12
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( SV12
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(114,plain,
! [SV3: a,SV15: a > $o] :
( ( ( ~ ( SV15 @ SV3 ) )
= $true )
| ( ( SV15
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ( SV15 @ SX0 ) ) )
= $true )
| ( ( SV15
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(117,plain,
! [SV3: a,SV18: a > $o] :
( ( ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) )
= $false )
| ( ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV18 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(118,plain,
! [SV3: a,SV21: a > $o] :
( ( ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV21 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(121,plain,
! [SV3: a,SV24: a > $o] :
( ( ( ~ ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV24 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(122,plain,
! [SV3: a,SV15: a > $o] :
( ( ( SV15 @ SV3 )
= $false )
| ( ( SV15
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ( SV15 @ SX0 ) ) )
= $true )
| ( ( SV15
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(125,plain,
! [SV3: a,SV18: a > $o] :
( ( ( ~ ( SV18 @ SV3 ) )
= $false )
| ( ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) )
= $false )
| ( ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(126,plain,
! [SV3: a,SV21: a > $o] :
( ( ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) )
= $true )
| ( ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV21 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(129,plain,
! [SV3: a,SV24: a > $o] :
( ( ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV24 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(131,plain,
! [SV3: a,SV18: a > $o] :
( ( ( SV18 @ SV3 )
= $true )
| ( ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) )
= $false )
| ( ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(132,plain,
! [SV3: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV3 ) )
= $true )
| ( ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) )
= $true )
| ( ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(135,plain,
! [SV3: a,SV24: a > $o] :
( ( ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) )
= $false )
| ( ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV24 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(136,plain,
! [SV3: a,SV21: a > $o] :
( ( ( SV21 @ SV3 )
= $false )
| ( ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) )
= $true )
| ( ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(139,plain,
! [SV3: a,SV24: a > $o] :
( ( ( ~ ( SV24 @ SV3 ) )
= $false )
| ( ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) )
= $false )
| ( ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(141,plain,
! [SV3: a,SV24: a > $o] :
( ( ( SV24 @ SV3 )
= $true )
| ( ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) )
= $false )
| ( ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(142,plain,
! [SV3: a,SV6: a > $o] :
( ( ( SV6
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV6 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV6 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(143,plain,
! [SV3: a,SV4: a,SV6: a > $o] :
( ( ( SV6 @ SV4 )
= $true )
| ( ( sK1_Xr @ SV4
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV6 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV6 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(144,plain,
! [SV3: a,SV6: a > $o] :
( ( ( SV6 @ SV3 )
= $true )
| ( ( SV6
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV6 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(145,plain,
! [SV4: a,SV3: a,SV6: a > $o] :
( ( ( SV6 @ SV3 )
= $true )
| ( ( sK1_Xr @ SV4
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV6 @ SX0 ) ) )
= $false )
| ( ( SV6 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(146,plain,
( ( ( sK4_SY12
@ ^ [SX0: a] : ( SX0 = sK3_SY23 ) )
= sK3_SY23 )
= $true ),
inference(extuni,[status(esa)],[43:[bind(SV3,$thf( sK3_SY23 ))]]) ).
thf(147,plain,
( ( sK1_Xr @ sK3_SY23
@ ( sK4_SY12
@ ^ [SX0: a] : ( SX0 = sK3_SY23 ) ) )
= $false ),
inference(extuni,[status(esa)],[47:[bind(SV3,$thf( sK3_SY23 )),bind(SV4,$thf( sK3_SY23 ))]]) ).
thf(148,plain,
! [SV2: a] :
( ( ( sK1_Xr @ ( sK5_SY22 @ SV2 ) @ SV2 )
= $true )
| ( ( sK2_SY9 @ SV2 )
= $true ) ),
inference(sim,[status(thm)],[62]) ).
thf(149,plain,
! [SV3: a,SV1: a > $o] :
( ( ( SV1 @ SV3 )
= $false )
| ( ( SV1 @ ( sK4_SY12 @ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[67]) ).
thf(150,plain,
! [SV3: a,SV12: a > $o] :
( ( ( SV12 @ SV3 )
= $true )
| ( ( SV12
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[113]) ).
thf(151,plain,
! [SV3: a,SV15: a > $o] :
( ( ( SV15 @ SV3 )
= $false )
| ( ( SV15
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ( SV15 @ SX0 ) ) )
= $true ) ),
inference(sim,[status(thm)],[122]) ).
thf(152,plain,
! [SV3: a,SV18: a > $o] :
( ( ( SV18 @ SV3 )
= $true )
| ( ( SV18
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ( SV18 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[131]) ).
thf(153,plain,
! [SV3: a,SV21: a > $o] :
( ( ( SV21 @ SV3 )
= $false )
| ( ( SV21
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ( SV21 @ SX0 ) ) )
= $true ) ),
inference(sim,[status(thm)],[136]) ).
thf(154,plain,
! [SV3: a,SV24: a > $o] :
( ( ( SV24 @ SV3 )
= $true )
| ( ( SV24
@ ( sK4_SY12
@ ^ [SX0: a] :
~ ~ ~ ~ ~ ( SV24 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[141]) ).
thf(155,plain,
! [SV4: a] :
( ( sK1_Xr @ SV4
@ ( sK4_SY12
@ ^ [SX0: a] : $true ) )
= $false ),
inference(sim,[status(thm)],[44]) ).
thf(156,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,155,154,153,152,151,150,149,148,147,146,145,144,39,35,33,29]) ).
thf(157,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV382^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 10:05:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (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)...
% 0.37/0.58
% 0.37/0.58 ********************************
% 0.37/0.58 * All subproblems solved! *
% 0.37/0.58 ********************************
% 0.37/0.58 % 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:156,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.37/0.58
% 0.37/0.58 %**** Beginning of derivation protocol ****
% 0.37/0.58 % SZS output start CNFRefutation
% See solution above
% 0.37/0.58
% 0.37/0.58 %**** End of derivation protocol ****
% 0.37/0.58 %**** no. of clauses in derivation: 107 ****
% 0.37/0.58 %**** clause counter: 156 ****
% 0.37/0.58
% 0.37/0.58 % 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:156,loop_count:0,foatp_calls:2,translation:fof_full)
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