TSTP Solution File: PHI003^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PHI003^1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.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 : Mon Jul 18 16:47:17 EDT 2022
% Result : Theorem 0.36s 0.53s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 63
% Syntax : Number of formulae : 134 ( 61 unt; 32 typ; 25 def)
% Number of atoms : 540 ( 144 equ; 0 cnn)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 1039 ( 224 ~; 146 |; 4 &; 662 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 346 ( 346 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 31 usr; 3 con; 0-4 aty)
% Number of variables : 319 ( 114 ^ 201 !; 4 ?; 319 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mu,type,
mu: $tType ).
thf(tp_essence,type,
essence: ( mu > $i > $o ) > mu > $i > $o ).
thf(tp_god,type,
god: mu > $i > $o ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox,type,
mbox: ( $i > $o ) > $i > $o ).
thf(tp_mbox_generic,type,
mbox_generic: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mdia,type,
mdia: ( $i > $o ) > $i > $o ).
thf(tp_mdia_generic,type,
mdia_generic: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_meq_ind,type,
meq_ind: mu > mu > $i > $o ).
thf(tp_mequiv,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mexists_ind,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mexists_indset,type,
mexists_indset: ( ( mu > $i > $o ) > $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_indset,type,
mforall_indset: ( ( mu > $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mforall_prop,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $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_mtrue,type,
mtrue: $i > $o ).
thf(tp_mvalid,type,
mvalid: ( $i > $o ) > $o ).
thf(tp_mxor,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_necessary_existence,type,
necessary_existence: mu > $i > $o ).
thf(tp_positive,type,
positive: ( mu > $i > $o ) > $i > $o ).
thf(tp_rel,type,
rel: $i > $i > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY33,type,
sK2_SY33: ( mu > $i > $o ) > ( mu > $i > $o ) > $i > $i ).
thf(tp_sK3_SY37,type,
sK3_SY37: $i > ( mu > $i > $o ) > ( mu > $i > $o ) > mu ).
thf(tp_sK4_SY38,type,
sK4_SY38: mu > $i > mu > $i > $o ).
thf(essence,definition,
( essence
= ( ^ [Phi: mu > $i > $o,X: mu] :
( mand @ ( Phi @ X )
@ ( mforall_indset
@ ^ [Psi: mu > $i > $o] :
( mimplies @ ( Psi @ X )
@ ( mbox
@ ( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( Phi @ Y ) @ ( Psi @ Y ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',essence) ).
thf(god,definition,
( god
= ( ^ [X: mu] :
( mforall_indset
@ ^ [Phi: mu > $i > $o] : ( mimplies @ ( positive @ Phi ) @ ( Phi @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',god) ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
& ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( mbox_generic @ rel ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox) ).
thf(mbox_generic,definition,
( mbox_generic
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ~ ( R @ W @ V )
| ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_generic) ).
thf(mdia,definition,
( mdia
= ( mdia_generic @ rel ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia) ).
thf(mdia_generic,definition,
( mdia_generic
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
? [V: $i] :
( ( R @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia_generic) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_ind) ).
thf(mequiv,definition,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
<=> ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv) ).
thf(mexists_ind,definition,
( mexists_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
? [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_ind) ).
thf(mexists_indset,definition,
( mexists_indset
= ( ^ [Phi: ( mu > $i > $o ) > $i > $o,W: $i] :
? [X: mu > $i > $o] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_indset) ).
thf(mexists_prop,definition,
( mexists_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
? [P: $i > $o] : ( Phi @ P @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( ^ [W: $i] : $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind) ).
thf(mforall_indset,definition,
( mforall_indset
= ( ^ [Phi: ( mu > $i > $o ) > $i > $o,W: $i] :
! [X: mu > $i > $o] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_indset) ).
thf(mforall_prop,definition,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Psi @ W )
=> ( Phi @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
=> ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( ( Phi @ W )
& ~ ( Psi @ W ) )
| ( ~ ( Phi @ W )
& ( Psi @ W ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mxor) ).
thf(necessary_existence,definition,
( necessary_existence
= ( ^ [X: mu] :
( mforall_indset
@ ^ [Phi: mu > $i > $o] :
( mimplies @ ( essence @ Phi @ X )
@ ( mbox
@ ( mexists_ind
@ ^ [Y: mu] : ( Phi @ Y ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',necessary_existence) ).
thf(1,axiom,
mvalid @ ( positive @ necessary_existence ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axA5) ).
thf(2,axiom,
( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] : ( mimplies @ ( positive @ Phi ) @ ( mbox @ ( positive @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axA4) ).
thf(3,axiom,
mvalid @ ( positive @ god ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axA3) ).
thf(4,axiom,
( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] :
( mforall_indset
@ ^ [Psi: mu > $i > $o] :
( mimplies
@ ( mand @ ( positive @ Phi )
@ ( mbox
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( Phi @ X ) @ ( Psi @ X ) ) ) ) )
@ ( positive @ Psi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axA2) ).
thf(5,axiom,
( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] :
( mequiv
@ ( positive
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) )
@ ( mnot @ ( positive @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axA1) ).
thf(6,conjecture,
( mvalid
@ ( mdia
@ ( mexists_ind
@ ^ [X: mu] : ( god @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corC) ).
thf(7,negated_conjecture,
( ( mvalid
@ ( mdia
@ ( mexists_ind
@ ^ [X: mu] : ( god @ X ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
( ( ~ ( mvalid
@ ( mdia
@ ( mexists_ind
@ ^ [X: mu] : ( god @ X ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] :
( mequiv
@ ( positive
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) )
@ ( mnot @ ( positive @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(10,plain,
( ( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] :
( mforall_indset
@ ^ [Psi: mu > $i > $o] :
( mimplies
@ ( mand @ ( positive @ Phi )
@ ( mbox
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( Phi @ X ) @ ( Psi @ X ) ) ) ) )
@ ( positive @ Psi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(11,plain,
( ( mvalid @ ( positive @ god ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(12,plain,
( ( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] : ( mimplies @ ( positive @ Phi ) @ ( mbox @ ( positive @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(13,plain,
( ( mvalid @ ( positive @ necessary_existence ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(14,plain,
( ( ~ ( mvalid
@ ( mdia
@ ( mexists_ind
@ ^ [X: mu] : ( god @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(15,plain,
( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ( rel @ SX0 @ SX1 )
| ~ ~ ! [SX2: mu] :
~ ! [SX3: mu > $i > $o] :
( ~ ( positive @ SX3 @ SX1 )
| ( SX3 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,essence,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor,necessary_existence]) ).
thf(16,plain,
( ( ! [SX0: $i] :
( positive
@ ^ [SX1: mu,SX2: $i] :
! [SX3: mu > $i > $o] :
( ~ ~ ( ~ ( SX3 @ SX1 @ SX2 )
| ~ ! [SX4: mu > $i > $o] :
( ~ ( SX4 @ SX1 @ SX2 )
| ! [SX5: $i] :
( ~ ( rel @ SX2 @ SX5 )
| ! [SX6: mu] :
( ~ ( SX3 @ SX6 @ SX5 )
| ( SX4 @ SX6 @ SX5 ) ) ) ) )
| ! [SX4: $i] :
( ~ ( rel @ SX2 @ SX4 )
| ~ ! [SX5: mu] :
~ ( SX3 @ SX5 @ SX4 ) ) )
@ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[13,essence,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor,necessary_existence]) ).
thf(17,plain,
( ( ! [SX0: $i,SX1: mu > $i > $o] :
( ~ ( positive @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( rel @ SX0 @ SX2 )
| ( positive @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,essence,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor,necessary_existence]) ).
thf(18,plain,
( ( ! [SX0: $i,SX1: mu > $i > $o] :
~ ( ~ ( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 )
| ~ ( positive @ SX1 @ SX0 ) )
| ~ ( ~ ~ ( positive @ SX1 @ SX0 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,essence,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor,necessary_existence]) ).
thf(19,plain,
( ( ! [SX0: $i] :
( positive
@ ^ [SX1: mu,SX2: $i] :
! [SX3: mu > $i > $o] :
( ~ ( positive @ SX3 @ SX2 )
| ( SX3 @ SX1 @ SX2 ) )
@ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[11,essence,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor,necessary_existence]) ).
thf(20,plain,
( ( ! [SX0: $i,SX1: mu > $i > $o,SX2: mu > $i > $o] :
( ~ ~ ( ~ ( positive @ SX1 @ SX0 )
| ~ ! [SX3: $i] :
( ~ ( rel @ SX0 @ SX3 )
| ! [SX4: mu] :
( ~ ( SX1 @ SX4 @ SX3 )
| ( SX2 @ SX4 @ SX3 ) ) ) )
| ( positive @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,essence,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor,necessary_existence]) ).
thf(21,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ( rel @ SX0 @ SX1 )
| ~ ~ ! [SX2: mu] :
~ ! [SX3: mu > $i > $o] :
( ~ ( positive @ SX3 @ SX1 )
| ( SX3 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(22,plain,
! [SV1: $i] :
( ( positive
@ ^ [SX1: mu,SX2: $i] :
! [SX3: mu > $i > $o] :
( ~ ~ ( ~ ( SX3 @ SX1 @ SX2 )
| ~ ! [SX4: mu > $i > $o] :
( ~ ( SX4 @ SX1 @ SX2 )
| ! [SX5: $i] :
( ~ ( rel @ SX2 @ SX5 )
| ! [SX6: mu] :
( ~ ( SX3 @ SX6 @ SX5 )
| ( SX4 @ SX6 @ SX5 ) ) ) ) )
| ! [SX4: $i] :
( ~ ( rel @ SX2 @ SX4 )
| ~ ! [SX5: mu] :
~ ( SX3 @ SX5 @ SX4 ) ) )
@ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(23,plain,
! [SV2: $i] :
( ( ! [SY8: mu > $i > $o] :
( ~ ( positive @ SY8 @ SV2 )
| ! [SY9: $i] :
( ~ ( rel @ SV2 @ SY9 )
| ( positive @ SY8 @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(24,plain,
! [SV3: $i] :
( ( ! [SY10: mu > $i > $o] :
~ ( ~ ( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SY10 @ SX2 @ SX3 )
@ SV3 )
| ~ ( positive @ SY10 @ SV3 ) )
| ~ ( ~ ~ ( positive @ SY10 @ SV3 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SY10 @ SX2 @ SX3 )
@ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(25,plain,
! [SV4: $i] :
( ( positive
@ ^ [SX1: mu,SX2: $i] :
! [SX3: mu > $i > $o] :
( ~ ( positive @ SX3 @ SX2 )
| ( SX3 @ SX1 @ SX2 ) )
@ SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(26,plain,
! [SV5: $i] :
( ( ! [SY18: mu > $i > $o,SY19: mu > $i > $o] :
( ~ ~ ( ~ ( positive @ SY18 @ SV5 )
| ~ ! [SY20: $i] :
( ~ ( rel @ SV5 @ SY20 )
| ! [SX4: mu] :
( ~ ( SY18 @ SX4 @ SY20 )
| ( SY19 @ SX4 @ SY20 ) ) ) )
| ( positive @ SY19 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(27,plain,
( ( ~ ! [SY22: $i] :
~ ~ ( ~ ( rel @ sK1_SX0 @ SY22 )
| ~ ~ ! [SX2: mu] :
~ ! [SX3: mu > $i > $o] :
( ~ ( positive @ SX3 @ SY22 )
| ( SX3 @ SX2 @ SY22 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(28,plain,
! [SV2: $i,SV6: mu > $i > $o] :
( ( ~ ( positive @ SV6 @ SV2 )
| ! [SY25: $i] :
( ~ ( rel @ SV2 @ SY25 )
| ( positive @ SV6 @ SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(29,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ~ ( ~ ( ~ ( positive
@ ^ [SY26: mu,SY27: $i] :
~ ( SV7 @ SY26 @ SY27 )
@ SV3 )
| ~ ( positive @ SV7 @ SV3 ) )
| ~ ( ~ ~ ( positive @ SV7 @ SV3 )
| ( positive
@ ^ [SY28: mu,SY29: $i] :
~ ( SV7 @ SY28 @ SY29 )
@ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV5: $i,SV8: mu > $i > $o] :
( ( ! [SY30: mu > $i > $o] :
( ~ ~ ( ~ ( positive @ SV8 @ SV5 )
| ~ ! [SY31: $i] :
( ~ ( rel @ SV5 @ SY31 )
| ! [SY32: mu] :
( ~ ( SV8 @ SY32 @ SY31 )
| ( SY30 @ SY32 @ SY31 ) ) ) )
| ( positive @ SY30 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(31,plain,
( ( ! [SY22: $i] :
~ ~ ( ~ ( rel @ sK1_SX0 @ SY22 )
| ~ ~ ! [SX2: mu] :
~ ! [SX3: mu > $i > $o] :
( ~ ( positive @ SX3 @ SY22 )
| ( SX3 @ SX2 @ SY22 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
! [SV2: $i,SV6: mu > $i > $o] :
( ( ( ~ ( positive @ SV6 @ SV2 ) )
= $true )
| ( ( ! [SY25: $i] :
( ~ ( rel @ SV2 @ SY25 )
| ( positive @ SV6 @ SY25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ~ ( ~ ( positive
@ ^ [SY26: mu,SY27: $i] :
~ ( SV7 @ SY26 @ SY27 )
@ SV3 )
| ~ ( positive @ SV7 @ SV3 ) )
| ~ ( ~ ~ ( positive @ SV7 @ SV3 )
| ( positive
@ ^ [SY28: mu,SY29: $i] :
~ ( SV7 @ SY28 @ SY29 )
@ SV3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ~ ~ ( ~ ( positive @ SV8 @ SV5 )
| ~ ! [SY33: $i] :
( ~ ( rel @ SV5 @ SY33 )
| ! [SY34: mu] :
( ~ ( SV8 @ SY34 @ SY33 )
| ( SV9 @ SY34 @ SY33 ) ) ) )
| ( positive @ SV9 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ( rel @ sK1_SX0 @ SV10 )
| ~ ~ ! [SY35: mu] :
~ ! [SY36: mu > $i > $o] :
( ~ ( positive @ SY36 @ SV10 )
| ( SY36 @ SY35 @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV2: $i,SV6: mu > $i > $o] :
( ( ( positive @ SV6 @ SV2 )
= $false )
| ( ( ! [SY25: $i] :
( ~ ( rel @ SV2 @ SY25 )
| ( positive @ SV6 @ SY25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ~ ( ~ ( positive
@ ^ [SY26: mu,SY27: $i] :
~ ( SV7 @ SY26 @ SY27 )
@ SV3 )
| ~ ( positive @ SV7 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(38,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ~ ( ~ ~ ( positive @ SV7 @ SV3 )
| ( positive
@ ^ [SY28: mu,SY29: $i] :
~ ( SV7 @ SY28 @ SY29 )
@ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(39,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( ~ ~ ( ~ ( positive @ SV8 @ SV5 )
| ~ ! [SY33: $i] :
( ~ ( rel @ SV5 @ SY33 )
| ! [SY34: mu] :
( ~ ( SV8 @ SY34 @ SY33 )
| ( SV9 @ SY34 @ SY33 ) ) ) ) )
= $true )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(40,plain,
! [SV10: $i] :
( ( ~ ( ~ ( rel @ sK1_SX0 @ SV10 )
| ~ ~ ! [SY35: mu] :
~ ! [SY36: mu > $i > $o] :
( ~ ( positive @ SY36 @ SV10 )
| ( SY36 @ SY35 @ SV10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(41,plain,
! [SV6: mu > $i > $o,SV11: $i,SV2: $i] :
( ( ( ~ ( rel @ SV2 @ SV11 )
| ( positive @ SV6 @ SV11 ) )
= $true )
| ( ( positive @ SV6 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ~ ( positive
@ ^ [SY26: mu,SY27: $i] :
~ ( SV7 @ SY26 @ SY27 )
@ SV3 )
| ~ ( positive @ SV7 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(43,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ~ ~ ( positive @ SV7 @ SV3 )
| ( positive
@ ^ [SY28: mu,SY29: $i] :
~ ( SV7 @ SY28 @ SY29 )
@ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(44,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( ~ ( ~ ( positive @ SV8 @ SV5 )
| ~ ! [SY33: $i] :
( ~ ( rel @ SV5 @ SY33 )
| ! [SY34: mu] :
( ~ ( SV8 @ SY34 @ SY33 )
| ( SV9 @ SY34 @ SY33 ) ) ) ) )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV10: $i] :
( ( ~ ( rel @ sK1_SX0 @ SV10 )
| ~ ~ ! [SY35: mu] :
~ ! [SY36: mu > $i > $o] :
( ~ ( positive @ SY36 @ SV10 )
| ( SY36 @ SY35 @ SV10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(46,plain,
! [SV6: mu > $i > $o,SV11: $i,SV2: $i] :
( ( ( ~ ( rel @ SV2 @ SV11 ) )
= $true )
| ( ( positive @ SV6 @ SV11 )
= $true )
| ( ( positive @ SV6 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(47,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SY26: mu,SY27: $i] :
~ ( SV7 @ SY26 @ SY27 )
@ SV3 ) )
= $true )
| ( ( ~ ( positive @ SV7 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( ~ ~ ( positive @ SV7 @ SV3 ) )
= $true )
| ( ( positive
@ ^ [SY28: mu,SY29: $i] :
~ ( SV7 @ SY28 @ SY29 )
@ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( ~ ( positive @ SV8 @ SV5 )
| ~ ! [SY33: $i] :
( ~ ( rel @ SV5 @ SY33 )
| ! [SY34: mu] :
( ~ ( SV8 @ SY34 @ SY33 )
| ( SV9 @ SY34 @ SY33 ) ) ) )
= $true )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(50,plain,
! [SV10: $i] :
( ( ( ~ ( rel @ sK1_SX0 @ SV10 ) )
= $true )
| ( ( ~ ~ ! [SY35: mu] :
~ ! [SY36: mu > $i > $o] :
( ~ ( positive @ SY36 @ SV10 )
| ( SY36 @ SY35 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV6: mu > $i > $o,SV11: $i,SV2: $i] :
( ( ( rel @ SV2 @ SV11 )
= $false )
| ( ( positive @ SV6 @ SV11 )
= $true )
| ( ( positive @ SV6 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(52,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( positive
@ ^ [SY26: mu,SY27: $i] :
~ ( SV7 @ SY26 @ SY27 )
@ SV3 )
= $false )
| ( ( ~ ( positive @ SV7 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(53,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( ~ ( positive @ SV7 @ SV3 ) )
= $false )
| ( ( positive
@ ^ [SY28: mu,SY29: $i] :
~ ( SV7 @ SY28 @ SY29 )
@ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( ~ ( positive @ SV8 @ SV5 ) )
= $true )
| ( ( ~ ! [SY33: $i] :
( ~ ( rel @ SV5 @ SY33 )
| ! [SY34: mu] :
( ~ ( SV8 @ SY34 @ SY33 )
| ( SV9 @ SY34 @ SY33 ) ) ) )
= $true )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV10: $i] :
( ( ( rel @ sK1_SX0 @ SV10 )
= $false )
| ( ( ~ ~ ! [SY35: mu] :
~ ! [SY36: mu > $i > $o] :
( ~ ( positive @ SY36 @ SV10 )
| ( SY36 @ SY35 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( positive @ SV7 @ SV3 )
= $false )
| ( ( positive
@ ^ [SY26: mu,SY27: $i] :
~ ( SV7 @ SY26 @ SY27 )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( positive @ SV7 @ SV3 )
= $true )
| ( ( positive
@ ^ [SY28: mu,SY29: $i] :
~ ( SV7 @ SY28 @ SY29 )
@ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(58,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( ~ ! [SY33: $i] :
( ~ ( rel @ SV5 @ SY33 )
| ! [SY34: mu] :
( ~ ( SV8 @ SY34 @ SY33 )
| ( SV9 @ SY34 @ SY33 ) ) ) )
= $true )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV10: $i] :
( ( ( ~ ! [SY35: mu] :
~ ! [SY36: mu > $i > $o] :
( ~ ( positive @ SY36 @ SV10 )
| ( SY36 @ SY35 @ SV10 ) ) )
= $false )
| ( ( rel @ sK1_SX0 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV9: mu > $i > $o,SV8: mu > $i > $o,SV5: $i] :
( ( ( ! [SY33: $i] :
( ~ ( rel @ SV5 @ SY33 )
| ! [SY34: mu] :
( ~ ( SV8 @ SY34 @ SY33 )
| ( SV9 @ SY34 @ SY33 ) ) ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(61,plain,
! [SV10: $i] :
( ( ( ! [SY35: mu] :
~ ! [SY36: mu > $i > $o] :
( ~ ( positive @ SY36 @ SV10 )
| ( SY36 @ SY35 @ SV10 ) ) )
= $true )
| ( ( rel @ sK1_SX0 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(62,plain,
! [SV8: mu > $i > $o,SV9: mu > $i > $o,SV5: $i] :
( ( ( ~ ( rel @ SV5 @ ( sK2_SY33 @ SV9 @ SV8 @ SV5 ) )
| ! [SY37: mu] :
( ~ ( SV8 @ SY37 @ ( sK2_SY33 @ SV9 @ SV8 @ SV5 ) )
| ( SV9 @ SY37 @ ( sK2_SY33 @ SV9 @ SV8 @ SV5 ) ) ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[60]) ).
thf(63,plain,
! [SV12: mu,SV10: $i] :
( ( ( ~ ! [SY38: mu > $i > $o] :
( ~ ( positive @ SY38 @ SV10 )
| ( SY38 @ SV12 @ SV10 ) ) )
= $true )
| ( ( rel @ sK1_SX0 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(64,plain,
! [SV8: mu > $i > $o,SV9: mu > $i > $o,SV5: $i] :
( ( ( ~ ( rel @ SV5 @ ( sK2_SY33 @ SV9 @ SV8 @ SV5 ) ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(65,plain,
! [SV5: $i,SV9: mu > $i > $o,SV8: mu > $i > $o] :
( ( ( ! [SY37: mu] :
( ~ ( SV8 @ SY37 @ ( sK2_SY33 @ SV9 @ SV8 @ SV5 ) )
| ( SV9 @ SY37 @ ( sK2_SY33 @ SV9 @ SV8 @ SV5 ) ) ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(66,plain,
! [SV12: mu,SV10: $i] :
( ( ( ! [SY38: mu > $i > $o] :
( ~ ( positive @ SY38 @ SV10 )
| ( SY38 @ SV12 @ SV10 ) ) )
= $false )
| ( ( rel @ sK1_SX0 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(67,plain,
! [SV8: mu > $i > $o,SV9: mu > $i > $o,SV5: $i] :
( ( ( rel @ SV5 @ ( sK2_SY33 @ SV9 @ SV8 @ SV5 ) )
= $true )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(68,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( ~ ( SV8 @ ( sK3_SY37 @ SV5 @ SV9 @ SV8 ) @ ( sK2_SY33 @ SV9 @ SV8 @ SV5 ) )
| ( SV9 @ ( sK3_SY37 @ SV5 @ SV9 @ SV8 ) @ ( sK2_SY33 @ SV9 @ SV8 @ SV5 ) ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[65]) ).
thf(69,plain,
! [SV10: $i,SV12: mu] :
( ( ( ~ ( positive @ ( sK4_SY38 @ SV12 @ SV10 ) @ SV10 )
| ( sK4_SY38 @ SV12 @ SV10 @ SV12 @ SV10 ) )
= $false )
| ( ( rel @ sK1_SX0 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[66]) ).
thf(70,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( ~ ( SV8 @ ( sK3_SY37 @ SV5 @ SV9 @ SV8 ) @ ( sK2_SY33 @ SV9 @ SV8 @ SV5 ) ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(71,plain,
! [SV8: mu > $i > $o,SV5: $i,SV9: mu > $i > $o] :
( ( ( SV9 @ ( sK3_SY37 @ SV5 @ SV9 @ SV8 ) @ ( sK2_SY33 @ SV9 @ SV8 @ SV5 ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(72,plain,
! [SV10: $i,SV12: mu] :
( ( ( ~ ( positive @ ( sK4_SY38 @ SV12 @ SV10 ) @ SV10 ) )
= $false )
| ( ( rel @ sK1_SX0 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(73,plain,
! [SV10: $i,SV12: mu] :
( ( ( sK4_SY38 @ SV12 @ SV10 @ SV12 @ SV10 )
= $false )
| ( ( rel @ sK1_SX0 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(74,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( SV8 @ ( sK3_SY37 @ SV5 @ SV9 @ SV8 ) @ ( sK2_SY33 @ SV9 @ SV8 @ SV5 ) )
= $true )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(75,plain,
! [SV10: $i,SV12: mu] :
( ( ( positive @ ( sK4_SY38 @ SV12 @ SV10 ) @ SV10 )
= $true )
| ( ( rel @ sK1_SX0 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(76,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,75,74,73,71,67,57,56,51,25]) ).
thf(77,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : PHI003^1 : TPTP v8.1.0. Released v6.1.0.
% 0.05/0.15 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Thu Jun 2 02:06:01 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.15/0.38
% 0.15/0.38 No.of.Axioms: 5
% 0.15/0.38
% 0.15/0.38 Length.of.Defs: 4181
% 0.15/0.38
% 0.15/0.38 Contains.Choice.Funs: false
% 0.22/0.38 (rf:0,axioms:5,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:7,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.36/0.53
% 0.36/0.53 ********************************
% 0.36/0.53 * All subproblems solved! *
% 0.36/0.53 ********************************
% 0.36/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,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:76,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.36/0.54
% 0.36/0.54 %**** Beginning of derivation protocol ****
% 0.36/0.54 % SZS output start CNFRefutation
% See solution above
% 0.36/0.54
% 0.36/0.54 %**** End of derivation protocol ****
% 0.36/0.54 %**** no. of clauses in derivation: 77 ****
% 0.36/0.54 %**** clause counter: 76 ****
% 0.36/0.54
% 0.36/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,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:76,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------