TSTP Solution File: LCL715^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL715^1 : TPTP v8.1.0. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.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 : Sun Jul 17 12:26:12 EDT 2022
% Result : Theorem 25.69s 25.93s
% Output : CNFRefutation 25.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 70
% Syntax : Number of formulae : 235 ( 57 unt; 38 typ; 31 def)
% Number of atoms : 1131 ( 441 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 2758 ( 767 ~; 316 |; 8 &;1656 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 324 ( 324 >; 0 *; 0 +; 0 <<)
% Number of symbols : 40 ( 37 usr; 3 con; 0-3 aty)
% Number of variables : 639 ( 232 ^ 401 !; 6 ?; 639 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mu,type,
mu: $tType ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mcountersatisfiable,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(tp_mdia,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_meq_ind,type,
meq_ind: mu > mu > $i > $o ).
thf(tp_meq_prop,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mequiv,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_meuclidean,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(tp_mexists_ind,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mexists_prop,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mfalse,type,
mfalse: $i > $o ).
thf(tp_mforall_ind,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mforall_prop,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mfunctional,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(tp_mimplied,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mimplies,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_minvalid,type,
minvalid: ( $i > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( $i > $o ) > $i > $o ).
thf(tp_mor,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mpartially_functional,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(tp_mreflexive,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(tp_msatisfiable,type,
msatisfiable: ( $i > $o ) > $o ).
thf(tp_mserial,type,
mserial: ( $i > $i > $o ) > $o ).
thf(tp_msymmetric,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(tp_mtransitive,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(tp_mtrue,type,
mtrue: $i > $o ).
thf(tp_mvalid,type,
mvalid: ( $i > $o ) > $o ).
thf(tp_mweakly_connected,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(tp_mweakly_dense,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(tp_mweakly_directed,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(tp_mxor,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_sK1_R,type,
sK1_R: $i > $i > $o ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SY10,type,
sK3_SY10: ( $i > $o ) > $i > $i ).
thf(tp_sK4_SY12,type,
sK4_SY12: $i > $i ).
thf(tp_sK5_SY11,type,
sK5_SY11: ( $i > $o ) > $i > $i ).
thf(tp_sK6_SY11,type,
sK6_SY11: ( $i > $o ) > $i > $i ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ~ ( R @ W @ V )
| ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mcountersatisfiable) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_ind) ).
thf(meq_prop,definition,
( meq_prop
= ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
( ( X @ W )
= ( Y @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_prop) ).
thf(mequiv,definition,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv) ).
thf(meuclidean,definition,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meuclidean) ).
thf(mexists_ind,definition,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind) ).
thf(mexists_prop,definition,
( mexists_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o] :
( mnot
@ ( mforall_prop
@ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind) ).
thf(mforall_prop,definition,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop) ).
thf(mfunctional,definition,
( mfunctional
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] :
( ( R @ S @ T )
& ! [U: $i] :
( ( R @ S @ U )
=> ( T = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(mpartially_functional,definition,
( mpartially_functional
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( T = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial) ).
thf(msymmetric,definition,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric) ).
thf(mtransitive,definition,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid) ).
thf(mweakly_connected,definition,
( mweakly_connected
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( ( R @ T @ U )
| ( T = U )
| ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_connected) ).
thf(mweakly_dense,definition,
( mweakly_dense
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( R @ S @ T )
=> ? [U: $i] :
( ( R @ S @ U )
& ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_dense) ).
thf(mweakly_directed,definition,
( mweakly_directed
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ? [V: $i] :
( ( R @ T @ V )
& ( R @ U @ V ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxor) ).
thf(1,conjecture,
! [R: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mequiv @ ( mdia @ R @ A ) @ ( mbox @ R @ A ) ) ) )
=> ( mfunctional @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
( ( ! [R: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mequiv @ ( mdia @ R @ A ) @ ( mbox @ R @ A ) ) ) )
=> ( mfunctional @ R ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( mvalid
@ ( mforall_prop
@ ^ [SY0: $i > $o] : ( mequiv @ ( mdia @ sK1_R @ SY0 ) @ ( mbox @ sK1_R @ SY0 ) ) ) )
=> ( mfunctional @ sK1_R ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2]) ).
thf(4,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [SY0: $i > $o] : ( mequiv @ ( mdia @ sK1_R @ SY0 ) @ ( mbox @ sK1_R @ SY0 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( mfunctional @ sK1_R )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ( mfunctional @ sK1_R ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [SY0: $i > $o] : ( mequiv @ ( mdia @ sK1_R @ SY0 ) @ ( mbox @ sK1_R @ SY0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(8,plain,
( ( ~ ( mfunctional @ sK1_R ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(10,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
~ ( ~ ( ~ ~ ! [SX2: $i] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(11,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( SX1 = SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(12,plain,
! [SV1: $i] :
( ( ! [SY1: $i > $o] :
~ ( ~ ( ~ ~ ! [SY2: $i] :
( ~ ( sK1_R @ SV1 @ SY2 )
| ~ ( SY1 @ SY2 ) )
| ! [SY3: $i] :
( ~ ( sK1_R @ SV1 @ SY3 )
| ( SY1 @ SY3 ) ) )
| ~ ( ~ ! [SY4: $i] :
( ~ ( sK1_R @ SV1 @ SY4 )
| ( SY1 @ SY4 ) )
| ~ ! [SY5: $i] :
( ~ ( sK1_R @ SV1 @ SY5 )
| ~ ( SY1 @ SY5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ! [SY6: $i] :
~ ~ ( ~ ( sK1_R @ sK2_SX0 @ SY6 )
| ~ ! [SY7: $i] :
( ~ ( sK1_R @ sK2_SX0 @ SY7 )
| ( SY6 = SY7 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(14,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ~ ( ~ ( ~ ~ ! [SY8: $i] :
( ~ ( sK1_R @ SV1 @ SY8 )
| ~ ( SV2 @ SY8 ) )
| ! [SY9: $i] :
( ~ ( sK1_R @ SV1 @ SY9 )
| ( SV2 @ SY9 ) ) )
| ~ ( ~ ! [SY10: $i] :
( ~ ( sK1_R @ SV1 @ SY10 )
| ( SV2 @ SY10 ) )
| ~ ! [SY11: $i] :
( ~ ( sK1_R @ SV1 @ SY11 )
| ~ ( SV2 @ SY11 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ! [SY6: $i] :
~ ~ ( ~ ( sK1_R @ sK2_SX0 @ SY6 )
| ~ ! [SY7: $i] :
( ~ ( sK1_R @ sK2_SX0 @ SY7 )
| ( SY6 = SY7 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ~ ( ~ ~ ! [SY8: $i] :
( ~ ( sK1_R @ SV1 @ SY8 )
| ~ ( SV2 @ SY8 ) )
| ! [SY9: $i] :
( ~ ( sK1_R @ SV1 @ SY9 )
| ( SV2 @ SY9 ) ) )
| ~ ( ~ ! [SY10: $i] :
( ~ ( sK1_R @ SV1 @ SY10 )
| ( SV2 @ SY10 ) )
| ~ ! [SY11: $i] :
( ~ ( sK1_R @ SV1 @ SY11 )
| ~ ( SV2 @ SY11 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ( sK1_R @ sK2_SX0 @ SV3 )
| ~ ! [SY12: $i] :
( ~ ( sK1_R @ sK2_SX0 @ SY12 )
| ( SV3 = SY12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ~ ( ~ ~ ! [SY8: $i] :
( ~ ( sK1_R @ SV1 @ SY8 )
| ~ ( SV2 @ SY8 ) )
| ! [SY9: $i] :
( ~ ( sK1_R @ SV1 @ SY9 )
| ( SV2 @ SY9 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ~ ( ~ ! [SY10: $i] :
( ~ ( sK1_R @ SV1 @ SY10 )
| ( SV2 @ SY10 ) )
| ~ ! [SY11: $i] :
( ~ ( sK1_R @ SV1 @ SY11 )
| ~ ( SV2 @ SY11 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV3: $i] :
( ( ~ ( ~ ( sK1_R @ sK2_SX0 @ SV3 )
| ~ ! [SY12: $i] :
( ~ ( sK1_R @ sK2_SX0 @ SY12 )
| ( SV3 = SY12 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ~ ~ ! [SY8: $i] :
( ~ ( sK1_R @ SV1 @ SY8 )
| ~ ( SV2 @ SY8 ) )
| ! [SY9: $i] :
( ~ ( sK1_R @ SV1 @ SY9 )
| ( SV2 @ SY9 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ~ ! [SY10: $i] :
( ~ ( sK1_R @ SV1 @ SY10 )
| ( SV2 @ SY10 ) )
| ~ ! [SY11: $i] :
( ~ ( sK1_R @ SV1 @ SY11 )
| ~ ( SV2 @ SY11 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
! [SV3: $i] :
( ( ~ ( sK1_R @ sK2_SX0 @ SV3 )
| ~ ! [SY12: $i] :
( ~ ( sK1_R @ sK2_SX0 @ SY12 )
| ( SV3 = SY12 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ~ ~ ! [SY8: $i] :
( ~ ( sK1_R @ SV1 @ SY8 )
| ~ ( SV2 @ SY8 ) ) )
= $true )
| ( ( ! [SY9: $i] :
( ~ ( sK1_R @ SV1 @ SY9 )
| ( SV2 @ SY9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ~ ! [SY10: $i] :
( ~ ( sK1_R @ SV1 @ SY10 )
| ( SV2 @ SY10 ) ) )
= $true )
| ( ( ~ ! [SY11: $i] :
( ~ ( sK1_R @ SV1 @ SY11 )
| ~ ( SV2 @ SY11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV3: $i] :
( ( ( ~ ( sK1_R @ sK2_SX0 @ SV3 ) )
= $true )
| ( ( ~ ! [SY12: $i] :
( ~ ( sK1_R @ sK2_SX0 @ SY12 )
| ( SV3 = SY12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ~ ! [SY8: $i] :
( ~ ( sK1_R @ SV1 @ SY8 )
| ~ ( SV2 @ SY8 ) ) )
= $false )
| ( ( ! [SY9: $i] :
( ~ ( sK1_R @ SV1 @ SY9 )
| ( SV2 @ SY9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ! [SY10: $i] :
( ~ ( sK1_R @ SV1 @ SY10 )
| ( SV2 @ SY10 ) ) )
= $false )
| ( ( ~ ! [SY11: $i] :
( ~ ( sK1_R @ SV1 @ SY11 )
| ~ ( SV2 @ SY11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV3: $i] :
( ( ( sK1_R @ sK2_SX0 @ SV3 )
= $false )
| ( ( ~ ! [SY12: $i] :
( ~ ( sK1_R @ sK2_SX0 @ SY12 )
| ( SV3 = SY12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( sK1_R @ SV1 @ SY8 )
| ~ ( SV2 @ SY8 ) ) )
= $true )
| ( ( ! [SY9: $i] :
( ~ ( sK1_R @ SV1 @ SY9 )
| ( SV2 @ SY9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ~ ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
| ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY11: $i] :
( ~ ( sK1_R @ SV1 @ SY11 )
| ~ ( SV2 @ SY11 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[28]) ).
thf(32,plain,
! [SV3: $i] :
( ( ( ! [SY12: $i] :
( ~ ( sK1_R @ sK2_SX0 @ SY12 )
| ( SV3 = SY12 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i] :
( ( ( ~ ( sK1_R @ SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) )
= $true )
| ( ( ! [SY9: $i] :
( ~ ( sK1_R @ SV1 @ SY9 )
| ( SV2 @ SY9 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ~ ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY11: $i] :
( ~ ( sK1_R @ SV1 @ SY11 )
| ~ ( SV2 @ SY11 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(35,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ! [SY11: $i] :
( ~ ( sK1_R @ SV1 @ SY11 )
| ~ ( SV2 @ SY11 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
! [SV3: $i] :
( ( ( ~ ( sK1_R @ sK2_SX0 @ ( sK4_SY12 @ SV3 ) )
| ( SV3
= ( sK4_SY12 @ SV3 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[32]) ).
thf(37,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i] :
( ( ( ~ ( sK1_R @ SV1 @ SV4 ) )
= $true )
| ( ( ~ ( SV2 @ SV4 ) )
= $true )
| ( ( ! [SY9: $i] :
( ~ ( sK1_R @ SV1 @ SY9 )
| ( SV2 @ SY9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ! [SY11: $i] :
( ~ ( sK1_R @ SV1 @ SY11 )
| ~ ( SV2 @ SY11 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(39,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ! [SY11: $i] :
( ~ ( sK1_R @ SV1 @ SY11 )
| ~ ( SV2 @ SY11 ) ) )
= $false )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV3: $i] :
( ( ( ~ ( sK1_R @ sK2_SX0 @ ( sK4_SY12 @ SV3 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(41,plain,
! [SV3: $i] :
( ( ( SV3
= ( sK4_SY12 @ SV3 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(42,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i] :
( ( ( sK1_R @ SV1 @ SV4 )
= $false )
| ( ( ~ ( SV2 @ SV4 ) )
= $true )
| ( ( ! [SY9: $i] :
( ~ ( sK1_R @ SV1 @ SY9 )
| ( SV2 @ SY9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ! [SY11: $i] :
( ~ ( sK1_R @ SV1 @ SY11 )
| ~ ( SV2 @ SY11 ) ) )
= $false )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ~ ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) )
| ~ ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[39]) ).
thf(45,plain,
! [SV3: $i] :
( ( ( sK1_R @ sK2_SX0 @ ( sK4_SY12 @ SV3 ) )
= $true )
| ( ( sK1_R @ sK2_SX0 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(46,plain,
! [SV1: $i,SV4: $i,SV2: $i > $o] :
( ( ( SV2 @ SV4 )
= $false )
| ( ( sK1_R @ SV1 @ SV4 )
= $false )
| ( ( ! [SY9: $i] :
( ~ ( sK1_R @ SV1 @ SY9 )
| ( SV2 @ SY9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ~ ( sK1_R @ SV1 @ ( sK6_SY11 @ SV2 @ SV1 ) )
| ~ ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) ) )
= $false )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[43]) ).
thf(48,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ~ ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(49,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(50,plain,
! [SV4: $i,SV2: $i > $o,SV5: $i,SV1: $i] :
( ( ( ~ ( sK1_R @ SV1 @ SV5 )
| ( SV2 @ SV5 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV4 )
= $false )
| ( ( SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ~ ( sK1_R @ SV1 @ ( sK6_SY11 @ SV2 @ SV1 ) ) )
= $false )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(52,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) ) )
= $false )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(53,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(54,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(55,plain,
! [SV4: $i,SV2: $i > $o,SV5: $i,SV1: $i] :
( ( ( ~ ( sK1_R @ SV1 @ SV5 ) )
= $true )
| ( ( SV2 @ SV5 )
= $true )
| ( ( sK1_R @ SV1 @ SV4 )
= $false )
| ( ( SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( sK1_R @ SV1 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(57,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(58,plain,
! [SV4: $i,SV2: $i > $o,SV5: $i,SV1: $i] :
( ( ( sK1_R @ SV1 @ SV5 )
= $false )
| ( ( SV2 @ SV5 )
= $true )
| ( ( sK1_R @ SV1 @ SV4 )
= $false )
| ( ( SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(59,plain,
! [SV4: $i,SV5: $i,SV1: $i] :
( ( ( sK1_R @ SV1 @ SV5 )
= $false )
| ( ( SV5 = SV4 )
= $true )
| ( ( sK1_R @ SV1 @ SV4 )
= $false )
| ( ( SV4 = SV4 )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[58:[bind(SV2,$thf( ^ [SV6: $i] : ( SV6 = SV4 ) ))]]) ).
thf(60,plain,
! [SV4: $i,SV5: $i,SV1: $i] :
( ( ( sK1_R @ SV1 @ SV5 )
= $false )
| ( ( SV5 = SV4 )
= $true )
| ( ( sK1_R @ SV1 @ SV4 )
= $false ) ),
inference(sim,[status(thm)],[59]) ).
thf(61,plain,
! [SV1: $i] :
( ( ( sK1_R @ SV1
@ ( sK5_SY11
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $true )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[53:[bind(SV2,$thf( ^ [SV10: $i] : $true ))]]) ).
thf(63,plain,
! [SV8: $i > $o,SV1: $i] :
( ( ( sK1_R @ SV1
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ( SV8
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[53:[bind(SV2,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(67,plain,
! [SV1: $i,SV8: $i > $o] :
( ( ( ~ ( SV8
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ( SV8
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[54:[bind(SV2,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(69,plain,
! [SV1: $i] :
( ( ( sK1_R @ SV1
@ ( sK6_SY11
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $true )
| ( ( sK1_R @ SV1
@ ( sK3_SY10
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[56:[bind(SV2,$thf( ^ [SV10: $i] : $true ))]]) ).
thf(70,plain,
! [SV1: $i] :
( ( ( sK1_R @ SV1
@ ( sK6_SY11
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true )
| ( ( sK1_R @ SV1
@ ( sK3_SY10
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[56:[bind(SV2,$thf( ^ [SV9: $i] : $false ))]]) ).
thf(71,plain,
! [SV8: $i > $o,SV1: $i] :
( ( ( sK1_R @ SV1
@ ( sK6_SY11
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) )
= $true )
| ( ( sK1_R @ SV1
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[56:[bind(SV2,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(72,plain,
! [SV1: $i] :
( ( ( sK1_R @ SV1
@ ( sK6_SY11
@ ^ [SX0: $i] : ( SX0 = sK2_SX0 )
@ SV1 ) )
= $true )
| ( ( sK1_R @ SV1
@ ( sK3_SY10
@ ^ [SX0: $i] : ( SX0 = sK2_SX0 )
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[56:[bind(SV2,$thf( ^ [SV11: $i] : ( SV11 = sK2_SX0 ) ))]]) ).
thf(74,plain,
! [SV1: $i] :
( ( $false = $true )
| ( ( sK1_R @ SV1
@ ( sK3_SY10
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV2,$thf( ^ [SV9: $i] : $false ))]]) ).
thf(75,plain,
! [SV1: $i,SV8: $i > $o] :
( ( ( ~ ( SV8
@ ( sK6_SY11
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( sK1_R @ SV1
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV2,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(76,plain,
! [SV1: $i] :
( ( ( ( sK6_SY11
@ ^ [SX0: $i] : ( SX0 = sK2_SX0 )
@ SV1 )
= sK2_SX0 )
= $true )
| ( ( sK1_R @ SV1
@ ( sK3_SY10
@ ^ [SX0: $i] : ( SX0 = sK2_SX0 )
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV2,$thf( ^ [SV11: $i] : ( SV11 = sK2_SX0 ) ))]]) ).
thf(79,plain,
! [SV4: $i,SV8: $i > $o,SV5: $i,SV1: $i] :
( ( ( sK1_R @ SV1 @ SV5 )
= $false )
| ( ( ~ ( SV8 @ SV5 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV4 )
= $false )
| ( ( ~ ( SV8 @ SV4 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV2,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(80,plain,
! [SV4: $i,SV5: $i,SV1: $i] :
( ( ( sK1_R @ SV1 @ SV5 )
= $false )
| ( ( SV5 = sK2_SX0 )
= $true )
| ( ( sK1_R @ SV1 @ SV4 )
= $false )
| ( ( SV4 = sK2_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV2,$thf( ^ [SV11: $i] : ( SV11 = sK2_SX0 ) ))]]) ).
thf(82,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false )
| ( ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= ( ~ ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[53]) ).
thf(83,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= ( ~ ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[54]) ).
thf(84,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true )
| ( ( ( sK1_R @ SV1 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[56]) ).
thf(85,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[57]) ).
thf(88,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ~ ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
| ~ ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) ) )
| ~ ( ~ ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
| ~ ~ ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[82]) ).
thf(89,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= ( ~ ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[82]) ).
thf(90,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ~ ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
| ~ ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
| ~ ( ~ ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
| ~ ~ ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[83]) ).
thf(91,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= ( ~ ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[83]) ).
thf(92,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ~ ( ( sK1_R @ SV1 @ ( sK6_SY11 @ SV2 @ SV1 ) )
| ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
| ~ ( ~ ( sK1_R @ SV1 @ ( sK6_SY11 @ SV2 @ SV1 ) )
| ~ ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[84]) ).
thf(93,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ( sK1_R @ SV1 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
= $false )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[84]) ).
thf(94,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ~ ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
| ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
| ~ ( ~ ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
| ~ ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[85]) ).
thf(95,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[85]) ).
thf(99,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
| ~ ~ ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(100,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ~ ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
| ~ ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(102,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ~ ( ( sK1_R @ SV1 @ ( sK6_SY11 @ SV2 @ SV1 ) )
| ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(104,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ~ ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
| ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(109,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
| ~ ~ ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(110,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
| ~ ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(112,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ( sK1_R @ SV1 @ ( sK6_SY11 @ SV2 @ SV1 ) )
| ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
= $true )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(114,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
| ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(119,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ~ ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(120,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(122,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( sK1_R @ SV1 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(124,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(128,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ~ ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(129,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(134,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( ~ ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(138,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(140,plain,
! [SV1: $i,SV18: $i > $i,SV17: $i > $i] :
( ( ( ~ ( sK1_R
@ ( SV17
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) )
@ SV1 ) )
@ ( SV18
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) )
@ SV1 ) ) ) )
= $false )
| ( ( sK1_R
@ ( SV17
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) )
@ SV1 ) )
@ ( SV18
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) )
@ SV1 ) ) )
= $true )
| ( ( sK1_R @ SV1
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) )
@ SV1 ) )
= $true ) ),
inference(extuni,[status(esa)],[89:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) ) ))]]) ).
thf(143,plain,
! [SV1: $i,SV14: $i > $o] :
( ( ( ~ ( SV14
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ( SV14
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_R @ SV1
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[89:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV14 @ SX0 ) ))]]) ).
thf(144,plain,
! [SV1: $i,SV33: $i > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV33
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[91:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV33 @ SX0 ) ) ) ) ) ))]]) ).
thf(147,plain,
! [SV1: $i,SV30: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ~ ( SV30
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[91:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( ~ ( SV30 @ SX0 ) ) ) ) ))]]) ).
thf(148,plain,
! [SV1: $i,SV27: $i > $o] :
( ( ( ~ ~ ~ ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV27
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[91:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( ~ ( SV27 @ SX0 ) ) ) ))]]) ).
thf(151,plain,
! [SV1: $i,SV24: $i > $o] :
( ( ( ~ ~ ( SV24
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ( SV24
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ~ ( SV24
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[91:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( ~ ( SV24 @ SX0 ) ) ))]]) ).
thf(152,plain,
! [SV1: $i,SV21: $i > $o] :
( ( ( ~ ( SV21
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ( SV21
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV21
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[91:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV21 @ SX0 ) ))]]) ).
thf(154,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true )
| ( ( ( sK6_SY11 @ SV2 @ SV1 )
= ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(extuni,[status(esa)],[93]) ).
thf(155,plain,
! [SV1: $i,SV40: $i > $i,SV39: $i > $i] :
( ( ( sK1_R
@ ( SV39
@ ( sK6_SY11
@ ^ [SX0: $i] : ( sK1_R @ ( SV39 @ SX0 ) @ ( SV40 @ SX0 ) )
@ SV1 ) )
@ ( SV40
@ ( sK6_SY11
@ ^ [SX0: $i] : ( sK1_R @ ( SV39 @ SX0 ) @ ( SV40 @ SX0 ) )
@ SV1 ) ) )
= $true )
| ( ( sK1_R
@ ( SV39
@ ( sK6_SY11
@ ^ [SX0: $i] : ( sK1_R @ ( SV39 @ SX0 ) @ ( SV40 @ SX0 ) )
@ SV1 ) )
@ ( SV40
@ ( sK6_SY11
@ ^ [SX0: $i] : ( sK1_R @ ( SV39 @ SX0 ) @ ( SV40 @ SX0 ) )
@ SV1 ) ) )
= $true )
| ( ( sK1_R @ SV1
@ ( sK3_SY10
@ ^ [SX0: $i] : ( sK1_R @ ( SV39 @ SX0 ) @ ( SV40 @ SX0 ) )
@ SV1 ) )
= $true ) ),
inference(extuni,[status(esa)],[95:[bind(SV2,$thf( ^ [SX0: $i] : ( sK1_R @ ( SV39 @ SX0 ) @ ( SV40 @ SX0 ) ) ))]]) ).
thf(157,plain,
! [SV1: $i,SV14: $i > $o] :
( ( ( SV14
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ( SV14
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_R @ SV1
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(160,plain,
! [SV1: $i,SV18: $i > $i,SV17: $i > $i] :
( ( ( sK1_R
@ ( SV17
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) )
@ SV1 ) )
@ ( SV18
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) )
@ SV1 ) ) )
= $true )
| ( ( sK1_R
@ ( SV17
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) )
@ SV1 ) )
@ ( SV18
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) )
@ SV1 ) ) )
= $true )
| ( ( sK1_R @ SV1
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(162,plain,
! [SV1: $i,SV21: $i > $o] :
( ( ( SV21
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV21
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV21
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(163,plain,
! [SV1: $i,SV24: $i > $o] :
( ( ( ~ ( SV24
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ( SV24
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ~ ( SV24
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(166,plain,
! [SV1: $i,SV27: $i > $o] :
( ( ( ~ ~ ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV27
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(167,plain,
! [SV1: $i,SV30: $i > $o] :
( ( ( ~ ~ ~ ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ~ ( SV30
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(170,plain,
! [SV1: $i,SV33: $i > $o] :
( ( ( ~ ~ ~ ~ ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV33
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(171,plain,
! [SV1: $i,SV14: $i > $o] :
( ( ( SV14
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV14
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ( sK1_R @ SV1
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(174,plain,
! [SV1: $i,SV21: $i > $o] :
( ( ( SV21
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV21
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ~ ( SV21
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(175,plain,
! [SV1: $i,SV24: $i > $o] :
( ( ( SV24
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ( SV24
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ~ ( SV24
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(178,plain,
! [SV1: $i,SV27: $i > $o] :
( ( ( ~ ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV27
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(179,plain,
! [SV1: $i,SV30: $i > $o] :
( ( ( ~ ~ ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ~ ( SV30
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(182,plain,
! [SV1: $i,SV33: $i > $o] :
( ( ( ~ ~ ~ ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV33
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(183,plain,
! [SV14: $i > $o,SV1: $i] :
( ( ( sK1_R @ SV1
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV14
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV14
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(186,plain,
! [SV1: $i,SV21: $i > $o] :
( ( ( ~ ( SV21
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( SV21
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV21
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(187,plain,
! [SV1: $i,SV24: $i > $o] :
( ( ( SV24
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV24
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ~ ( SV24
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(190,plain,
! [SV1: $i,SV27: $i > $o] :
( ( ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV27
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(191,plain,
! [SV1: $i,SV30: $i > $o] :
( ( ( ~ ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ~ ( SV30
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(194,plain,
! [SV1: $i,SV33: $i > $o] :
( ( ( ~ ~ ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV33
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(196,plain,
! [SV1: $i,SV21: $i > $o] :
( ( ( SV21
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV21
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV21
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(197,plain,
! [SV1: $i,SV24: $i > $o] :
( ( ( ~ ( SV24
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV24
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV24
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(200,plain,
! [SV1: $i,SV27: $i > $o] :
( ( ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ~ ( SV27
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(201,plain,
! [SV1: $i,SV30: $i > $o] :
( ( ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ~ ( SV30
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(204,plain,
! [SV1: $i,SV33: $i > $o] :
( ( ( ~ ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV33
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(205,plain,
! [SV1: $i,SV24: $i > $o] :
( ( ( SV24
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV24
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV24
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(208,plain,
! [SV1: $i,SV27: $i > $o] :
( ( ( ~ ( SV27
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(209,plain,
! [SV1: $i,SV30: $i > $o] :
( ( ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ~ ( SV30
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(212,plain,
! [SV1: $i,SV33: $i > $o] :
( ( ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV33
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(214,plain,
! [SV1: $i,SV27: $i > $o] :
( ( ( SV27
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(215,plain,
! [SV1: $i,SV30: $i > $o] :
( ( ( ~ ( SV30
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(218,plain,
! [SV1: $i,SV33: $i > $o] :
( ( ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ~ ( SV33
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(219,plain,
! [SV1: $i,SV30: $i > $o] :
( ( ( SV30
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(222,plain,
! [SV1: $i,SV33: $i > $o] :
( ( ( ~ ( SV33
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(224,plain,
! [SV1: $i,SV33: $i > $o] :
( ( ( SV33
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(225,plain,
! [SV1: $i,SV8: $i > $o] :
( ( ( SV8
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) )
= $true )
| ( ( sK1_R @ SV1
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(226,plain,
! [SV1: $i,SV8: $i > $o] :
( ( ( SV8
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV8
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(227,plain,
! [SV1: $i,SV8: $i > $o] :
( ( ( SV8
@ ( sK6_SY11
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) )
= $false )
| ( ( sK1_R @ SV1
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(228,plain,
! [SV4: $i,SV1: $i,SV5: $i,SV8: $i > $o] :
( ( ( SV8 @ SV5 )
= $false )
| ( ( sK1_R @ SV1 @ SV5 )
= $false )
| ( ( sK1_R @ SV1 @ SV4 )
= $false )
| ( ( ~ ( SV8 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(229,plain,
! [SV1: $i,SV8: $i > $o] :
( ( ( SV8
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV8
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(230,plain,
! [SV5: $i,SV1: $i,SV4: $i,SV8: $i > $o] :
( ( ( SV8 @ SV4 )
= $true )
| ( ( sK1_R @ SV1 @ SV4 )
= $false )
| ( ( sK1_R @ SV1 @ SV5 )
= $false )
| ( ( SV8 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(231,plain,
! [SV5: $i,SV1: $i] :
( ( ( sK1_R @ SV1 @ sK2_SX0 )
= $false )
| ( ( SV5 = sK2_SX0 )
= $true )
| ( ( sK1_R @ SV1 @ SV5 )
= $false ) ),
inference(extuni,[status(esa)],[80:[bind(SV4,$thf( sK2_SX0 ))]]) ).
thf(232,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( sK1_R @ SV1 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false ) ),
inference(sim,[status(thm)],[138]) ).
thf(233,plain,
! [SV14: $i > $o,SV1: $i] :
( ( ( sK1_R @ SV1
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV14
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[183]) ).
thf(234,plain,
! [SV1: $i,SV18: $i > $i,SV17: $i > $i] :
( ( ( sK1_R
@ ( SV17
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) )
@ SV1 ) )
@ ( SV18
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) )
@ SV1 ) ) )
= $true )
| ( ( sK1_R @ SV1
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( sK1_R @ ( SV17 @ SX0 ) @ ( SV18 @ SX0 ) )
@ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[160]) ).
thf(235,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( SV2 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK5_SY11 @ SV2 @ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[129]) ).
thf(236,plain,
! [SV1: $i,SV21: $i > $o] :
( ( ( SV21
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV21
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(sim,[status(thm)],[196]) ).
thf(237,plain,
! [SV1: $i,SV24: $i > $o] :
( ( ( SV24
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV24
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ( SV24 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[205]) ).
thf(238,plain,
! [SV1: $i,SV27: $i > $o] :
( ( ( SV27
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV27
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ( SV27 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(sim,[status(thm)],[214]) ).
thf(239,plain,
! [SV1: $i,SV30: $i > $o] :
( ( ( SV30
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV30
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ( SV30 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[219]) ).
thf(240,plain,
! [SV1: $i,SV33: $i > $o] :
( ( ( SV33
@ ( sK3_SY10
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV33
@ ( sK5_SY11
@ ^ [SX0: $i] :
~ ~ ~ ~ ~ ( SV33 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(sim,[status(thm)],[224]) ).
thf(241,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ( sK1_R @ SV1 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[122]) ).
thf(242,plain,
! [SV1: $i,SV2: $i > $o] :
( ( ( SV2 @ ( sK6_SY11 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_R @ SV1 @ ( sK3_SY10 @ SV2 @ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[124]) ).
thf(243,plain,
! [SV1: $i,SV40: $i > $i,SV39: $i > $i] :
( ( ( sK1_R
@ ( SV39
@ ( sK6_SY11
@ ^ [SX0: $i] : ( sK1_R @ ( SV39 @ SX0 ) @ ( SV40 @ SX0 ) )
@ SV1 ) )
@ ( SV40
@ ( sK6_SY11
@ ^ [SX0: $i] : ( sK1_R @ ( SV39 @ SX0 ) @ ( SV40 @ SX0 ) )
@ SV1 ) ) )
= $true )
| ( ( sK1_R @ SV1
@ ( sK3_SY10
@ ^ [SX0: $i] : ( sK1_R @ ( SV39 @ SX0 ) @ ( SV40 @ SX0 ) )
@ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[155]) ).
thf(244,plain,
! [SV1: $i] :
( ( sK1_R @ SV1
@ ( sK5_SY11
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $true ),
inference(sim,[status(thm)],[61]) ).
thf(245,plain,
! [SV1: $i] :
( ( sK1_R @ SV1
@ ( sK3_SY10
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true ),
inference(sim,[status(thm)],[74]) ).
thf(246,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[41,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,227,225,154,76,72,71,70,69,60,58,57,56,54,53,45]) ).
thf(247,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL715^1 : TPTP v8.1.0. Bugfixed v5.0.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 12:07:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 5293
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:0,ps:3,u:6,ude:false,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
% 25.22/25.47 ..
% 25.69/25.93
% 25.69/25.93 ********************************
% 25.69/25.93 * All subproblems solved! *
% 25.69/25.93 ********************************
% 25.69/25.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:false,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:246,loop_count:0,foatp_calls:2,translation:fof_full)
% 25.69/25.94
% 25.69/25.94 %**** Beginning of derivation protocol ****
% 25.69/25.94 % SZS output start CNFRefutation
% See solution above
% 25.69/25.95
% 25.69/25.95 %**** End of derivation protocol ****
% 25.69/25.95 %**** no. of clauses in derivation: 166 ****
% 25.69/25.95 %**** clause counter: 246 ****
% 25.69/25.95
% 25.69/25.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:false,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:246,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------