TSTP Solution File: LCL866^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL866^1 : 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 : n012.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 12:27:19 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 100
% Syntax : Number of formulae : 310 ( 84 unt; 68 typ; 31 def)
% Number of atoms : 1988 ( 514 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 3380 ( 848 ~; 650 |; 39 &;1828 @)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 174 ( 174 >; 0 *; 0 +; 0 <<)
% Number of symbols : 70 ( 67 usr; 37 con; 0-3 aty)
% Number of variables : 560 ( 49 ^ 505 !; 6 ?; 560 :)
% 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_sK10_SX0,type,
sK10_SX0: $i ).
thf(tp_sK11_SX0,type,
sK11_SX0: $i ).
thf(tp_sK12_SY11,type,
sK12_SY11: $i ).
thf(tp_sK13_SY13,type,
sK13_SY13: $i ).
thf(tp_sK14_SY15,type,
sK14_SY15: $i ).
thf(tp_sK15_SY16,type,
sK15_SY16: $i ).
thf(tp_sK16_SX0,type,
sK16_SX0: $i ).
thf(tp_sK17_SX0,type,
sK17_SX0: $i ).
thf(tp_sK18_SX0,type,
sK18_SX0: $i ).
thf(tp_sK19_SX0,type,
sK19_SX0: $i ).
thf(tp_sK1_R,type,
sK1_R: $i > $i > $o ).
thf(tp_sK20_SY17,type,
sK20_SY17: $i ).
thf(tp_sK21_SY19,type,
sK21_SY19: $i ).
thf(tp_sK22_SY21,type,
sK22_SY21: $i ).
thf(tp_sK23_SY23,type,
sK23_SY23: $i ).
thf(tp_sK24_SY25,type,
sK24_SY25: $i ).
thf(tp_sK25_SY26,type,
sK25_SY26: $i ).
thf(tp_sK26_SY27,type,
sK26_SY27: $i ).
thf(tp_sK27_SY28,type,
sK27_SY28: $i ).
thf(tp_sK28_SX0,type,
sK28_SX0: $i ).
thf(tp_sK29_SY29,type,
sK29_SY29: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK30_SY33,type,
sK30_SY33: $i ).
thf(tp_sK31_SX0,type,
sK31_SX0: $i ).
thf(tp_sK32_SY39,type,
sK32_SY39: $i ).
thf(tp_sK33_SX0,type,
sK33_SX0: $i ).
thf(tp_sK34_SX0,type,
sK34_SX0: $i ).
thf(tp_sK35_SY40,type,
sK35_SY40: $i ).
thf(tp_sK36_SY41,type,
sK36_SY41: $i ).
thf(tp_sK3_SY3,type,
sK3_SY3: $i ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_sK5_SX0,type,
sK5_SX0: $i ).
thf(tp_sK6_SY5,type,
sK6_SY5: $i ).
thf(tp_sK7_SY7,type,
sK7_SY7: $i ).
thf(tp_sK8_SY9,type,
sK8_SY9: $i ).
thf(tp_sK9_SY10,type,
sK9_SY10: $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] :
( ( ( msymmetric @ R )
& ( meuclidean @ R ) )
<=> ( ( mtransitive @ R )
& ( msymmetric @ R )
& ( meuclidean @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
( ( ! [R: $i > $i > $o] :
( ( ( msymmetric @ R )
& ( meuclidean @ R ) )
<=> ( ( mtransitive @ R )
& ( msymmetric @ R )
& ( meuclidean @ R ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ( msymmetric @ sK1_R )
& ( meuclidean @ sK1_R ) )
<=> ( ( mtransitive @ sK1_R )
& ( msymmetric @ sK1_R )
& ( meuclidean @ sK1_R ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2]) ).
thf(4,plain,
( ( ( ( msymmetric @ sK1_R )
& ( meuclidean @ sK1_R ) )
=> ( ( mtransitive @ sK1_R )
& ( msymmetric @ sK1_R )
& ( meuclidean @ sK1_R ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
( ( ( ( mtransitive @ sK1_R )
& ( msymmetric @ sK1_R )
& ( meuclidean @ sK1_R ) )
=> ( ( msymmetric @ sK1_R )
& ( meuclidean @ sK1_R ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ~ ( ( ( msymmetric @ sK1_R )
& ( meuclidean @ sK1_R ) )
=> ( ( mtransitive @ sK1_R )
& ( msymmetric @ sK1_R )
& ( meuclidean @ sK1_R ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ( ( ( mtransitive @ sK1_R )
& ( msymmetric @ sK1_R )
& ( meuclidean @ sK1_R ) )
=> ( ( msymmetric @ sK1_R )
& ( meuclidean @ sK1_R ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(8,plain,
( ( ( meuclidean @ sK1_R )
& ( msymmetric @ sK1_R )
& ( ~ ( msymmetric @ sK1_R )
| ~ ( mtransitive @ sK1_R )
| ~ ( meuclidean @ sK1_R ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(9,plain,
( ( ( msymmetric @ sK1_R )
& ( mtransitive @ sK1_R )
& ( meuclidean @ sK1_R )
& ( ~ ( meuclidean @ sK1_R )
| ~ ( msymmetric @ sK1_R ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(10,plain,
( ( ( meuclidean @ sK1_R )
& ( msymmetric @ sK1_R )
& ( ~ ( msymmetric @ sK1_R )
| ~ ( mtransitive @ sK1_R )
| ~ ( meuclidean @ sK1_R ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
| ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,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(12,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
| ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( ( ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV1: $i] :
( ( ! [SY0: $i,SY1: $i] :
( ~ ~ ( ~ ( sK1_R @ SV1 @ SY0 )
| ~ ( sK1_R @ SV1 @ SY1 ) )
| ( sK1_R @ SY0 @ SY1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV2: $i] :
( ( ! [SY2: $i] :
( ~ ( sK1_R @ SV2 @ SY2 )
| ( sK1_R @ SY2 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ( ! [SY3: $i] :
( ~ ( sK1_R @ sK2_SX0 @ SY3 )
| ( sK1_R @ SY3 @ sK2_SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(28,plain,
! [SV3: $i,SV1: $i] :
( ( ! [SY4: $i] :
( ~ ~ ( ~ ( sK1_R @ SV1 @ SV3 )
| ~ ( sK1_R @ SV1 @ SY4 ) )
| ( sK1_R @ SV3 @ SY4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( sK1_R @ SV2 @ SV4 )
| ( sK1_R @ SV4 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(30,plain,
( ( ( ~ ( sK1_R @ sK2_SX0 @ sK3_SY3 )
| ( sK1_R @ sK3_SY3 @ sK2_SX0 ) )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[27]) ).
thf(31,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ~ ~ ( ~ ( sK1_R @ SV1 @ SV3 )
| ~ ( sK1_R @ SV1 @ SV5 ) )
| ( sK1_R @ SV3 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( sK1_R @ SV2 @ SV4 ) )
= $true )
| ( ( sK1_R @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(33,plain,
( ( ( ~ ( sK1_R @ sK2_SX0 @ sK3_SY3 ) )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(34,plain,
( ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( sK1_R @ SV1 @ SV3 )
| ~ ( sK1_R @ SV1 @ SV5 ) ) )
= $true )
| ( ( sK1_R @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV4: $i,SV2: $i] :
( ( ( sK1_R @ SV2 @ SV4 )
= $false )
| ( ( sK1_R @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(37,plain,
( ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(38,plain,
( ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( ~ ( sK1_R @ SV1 @ SV3 )
| ~ ( sK1_R @ SV1 @ SV5 ) ) )
= $false )
| ( ( sK1_R @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
( ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(41,plain,
( ( ( ! [SY5: $i,SY6: $i] :
( ~ ~ ( ~ ( sK1_R @ sK4_SX0 @ SY5 )
| ~ ( sK1_R @ SY5 @ SY6 ) )
| ( sK1_R @ sK4_SX0 @ SY6 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[38]) ).
thf(42,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( sK1_R @ SV1 @ SV3 )
| ~ ( sK1_R @ SV1 @ SV5 ) )
= $true )
| ( ( sK1_R @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(43,plain,
( ( ( ! [SY7: $i,SY8: $i] :
( ~ ~ ( ~ ( sK1_R @ sK5_SX0 @ SY7 )
| ~ ( sK1_R @ SY7 @ SY8 ) )
| ( sK1_R @ sK5_SX0 @ SY8 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[40]) ).
thf(44,plain,
( ( ( ! [SY9: $i] :
( ~ ~ ( ~ ( sK1_R @ sK4_SX0 @ sK6_SY5 )
| ~ ( sK1_R @ sK6_SY5 @ SY9 ) )
| ( sK1_R @ sK4_SX0 @ SY9 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[41]) ).
thf(45,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( sK1_R @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( sK1_R @ SV1 @ SV5 ) )
= $true )
| ( ( sK1_R @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(46,plain,
( ( ( ! [SY10: $i] :
( ~ ~ ( ~ ( sK1_R @ sK5_SX0 @ sK7_SY7 )
| ~ ( sK1_R @ sK7_SY7 @ SY10 ) )
| ( sK1_R @ sK5_SX0 @ SY10 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[43]) ).
thf(47,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK4_SX0 @ sK6_SY5 )
| ~ ( sK1_R @ sK6_SY5 @ sK8_SY9 ) )
| ( sK1_R @ sK4_SX0 @ sK8_SY9 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[44]) ).
thf(48,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ( sK1_R @ SV1 @ SV3 )
= $false )
| ( ( ~ ( sK1_R @ SV1 @ SV5 ) )
= $true )
| ( ( sK1_R @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(49,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK5_SX0 @ sK7_SY7 )
| ~ ( sK1_R @ sK7_SY7 @ sK9_SY10 ) )
| ( sK1_R @ sK5_SX0 @ sK9_SY10 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(50,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK4_SX0 @ sK6_SY5 )
| ~ ( sK1_R @ sK6_SY5 @ sK8_SY9 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(51,plain,
( ( ( sK1_R @ sK4_SX0 @ sK8_SY9 )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(52,plain,
! [SV3: $i,SV5: $i,SV1: $i] :
( ( ( sK1_R @ SV1 @ SV5 )
= $false )
| ( ( sK1_R @ SV1 @ SV3 )
= $false )
| ( ( sK1_R @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(53,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK5_SX0 @ sK7_SY7 )
| ~ ( sK1_R @ sK7_SY7 @ sK9_SY10 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(54,plain,
( ( ( sK1_R @ sK5_SX0 @ sK9_SY10 )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(55,plain,
( ( ( ~ ( ~ ( sK1_R @ sK4_SX0 @ sK6_SY5 )
| ~ ( sK1_R @ sK6_SY5 @ sK8_SY9 ) ) )
= $true )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(56,plain,
( ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK8_SY9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(57,plain,
( ( ( ~ ( ~ ( sK1_R @ sK5_SX0 @ sK7_SY7 )
| ~ ( sK1_R @ sK7_SY7 @ sK9_SY10 ) ) )
= $true )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(58,plain,
( ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK9_SY10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(59,plain,
( ( ( ~ ( sK1_R @ sK4_SX0 @ sK6_SY5 )
| ~ ( sK1_R @ sK6_SY5 @ sK8_SY9 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
( ( ( ! [SY11: $i,SY12: $i] :
( ~ ~ ( ~ ( sK1_R @ sK10_SX0 @ SY11 )
| ~ ( sK1_R @ sK10_SX0 @ SY12 ) )
| ( sK1_R @ SY11 @ SY12 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK8_SY9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[56]) ).
thf(61,plain,
( ( ( ~ ( sK1_R @ sK5_SX0 @ sK7_SY7 )
| ~ ( sK1_R @ sK7_SY7 @ sK9_SY10 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(62,plain,
( ( ( ! [SY13: $i,SY14: $i] :
( ~ ~ ( ~ ( sK1_R @ sK11_SX0 @ SY13 )
| ~ ( sK1_R @ sK11_SX0 @ SY14 ) )
| ( sK1_R @ SY13 @ SY14 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK9_SY10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[58]) ).
thf(63,plain,
( ( ( ~ ( sK1_R @ sK4_SX0 @ sK6_SY5 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(64,plain,
( ( ( ~ ( sK1_R @ sK6_SY5 @ sK8_SY9 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(65,plain,
( ( ( ! [SY15: $i] :
( ~ ~ ( ~ ( sK1_R @ sK10_SX0 @ sK12_SY11 )
| ~ ( sK1_R @ sK10_SX0 @ SY15 ) )
| ( sK1_R @ sK12_SY11 @ SY15 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK8_SY9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[60]) ).
thf(66,plain,
( ( ( ~ ( sK1_R @ sK5_SX0 @ sK7_SY7 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(67,plain,
( ( ( ~ ( sK1_R @ sK7_SY7 @ sK9_SY10 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(68,plain,
( ( ( ! [SY16: $i] :
( ~ ~ ( ~ ( sK1_R @ sK11_SX0 @ sK13_SY13 )
| ~ ( sK1_R @ sK11_SX0 @ SY16 ) )
| ( sK1_R @ sK13_SY13 @ SY16 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK9_SY10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[62]) ).
thf(69,plain,
( ( ( sK1_R @ sK4_SX0 @ sK6_SY5 )
= $true )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(70,plain,
( ( ( sK1_R @ sK6_SY5 @ sK8_SY9 )
= $true )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(71,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK10_SX0 @ sK12_SY11 )
| ~ ( sK1_R @ sK10_SX0 @ sK14_SY15 ) )
| ( sK1_R @ sK12_SY11 @ sK14_SY15 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK8_SY9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[65]) ).
thf(72,plain,
( ( ( sK1_R @ sK5_SX0 @ sK7_SY7 )
= $true )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(73,plain,
( ( ( sK1_R @ sK7_SY7 @ sK9_SY10 )
= $true )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(74,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK11_SX0 @ sK13_SY13 )
| ~ ( sK1_R @ sK11_SX0 @ sK15_SY16 ) )
| ( sK1_R @ sK13_SY13 @ sK15_SY16 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK9_SY10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[68]) ).
thf(75,plain,
( ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK6_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(76,plain,
( ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK6_SY5 @ sK8_SY9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(77,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK10_SX0 @ sK12_SY11 )
| ~ ( sK1_R @ sK10_SX0 @ sK14_SY15 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK8_SY9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(78,plain,
( ( ( sK1_R @ sK12_SY11 @ sK14_SY15 )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK8_SY9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(79,plain,
( ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK7_SY7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(80,plain,
( ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK7_SY7 @ sK9_SY10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(81,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK11_SX0 @ sK13_SY13 )
| ~ ( sK1_R @ sK11_SX0 @ sK15_SY16 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK9_SY10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(82,plain,
( ( ( sK1_R @ sK13_SY13 @ sK15_SY16 )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK9_SY10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(83,plain,
( ( ( ! [SY17: $i,SY18: $i] :
( ~ ~ ( ~ ( sK1_R @ sK16_SX0 @ SY17 )
| ~ ( sK1_R @ sK16_SX0 @ SY18 ) )
| ( sK1_R @ SY17 @ SY18 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK6_SY5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(84,plain,
( ( ( ! [SY19: $i,SY20: $i] :
( ~ ~ ( ~ ( sK1_R @ sK17_SX0 @ SY19 )
| ~ ( sK1_R @ sK17_SX0 @ SY20 ) )
| ( sK1_R @ SY19 @ SY20 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK6_SY5 @ sK8_SY9 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[76]) ).
thf(85,plain,
( ( ( ~ ( ~ ( sK1_R @ sK10_SX0 @ sK12_SY11 )
| ~ ( sK1_R @ sK10_SX0 @ sK14_SY15 ) ) )
= $true )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK8_SY9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(86,plain,
( ( ( ! [SY21: $i,SY22: $i] :
( ~ ~ ( ~ ( sK1_R @ sK18_SX0 @ SY21 )
| ~ ( sK1_R @ sK18_SX0 @ SY22 ) )
| ( sK1_R @ SY21 @ SY22 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK7_SY7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[79]) ).
thf(87,plain,
( ( ( ! [SY23: $i,SY24: $i] :
( ~ ~ ( ~ ( sK1_R @ sK19_SX0 @ SY23 )
| ~ ( sK1_R @ sK19_SX0 @ SY24 ) )
| ( sK1_R @ SY23 @ SY24 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK7_SY7 @ sK9_SY10 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[80]) ).
thf(88,plain,
( ( ( ~ ( ~ ( sK1_R @ sK11_SX0 @ sK13_SY13 )
| ~ ( sK1_R @ sK11_SX0 @ sK15_SY16 ) ) )
= $true )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK9_SY10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(89,plain,
( ( ( ! [SY25: $i] :
( ~ ~ ( ~ ( sK1_R @ sK16_SX0 @ sK20_SY17 )
| ~ ( sK1_R @ sK16_SX0 @ SY25 ) )
| ( sK1_R @ sK20_SY17 @ SY25 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK6_SY5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[83]) ).
thf(90,plain,
( ( ( ! [SY26: $i] :
( ~ ~ ( ~ ( sK1_R @ sK17_SX0 @ sK21_SY19 )
| ~ ( sK1_R @ sK17_SX0 @ SY26 ) )
| ( sK1_R @ sK21_SY19 @ SY26 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK6_SY5 @ sK8_SY9 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[84]) ).
thf(91,plain,
( ( ( ~ ( sK1_R @ sK10_SX0 @ sK12_SY11 )
| ~ ( sK1_R @ sK10_SX0 @ sK14_SY15 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK8_SY9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(92,plain,
( ( ( ! [SY27: $i] :
( ~ ~ ( ~ ( sK1_R @ sK18_SX0 @ sK22_SY21 )
| ~ ( sK1_R @ sK18_SX0 @ SY27 ) )
| ( sK1_R @ sK22_SY21 @ SY27 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK7_SY7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[86]) ).
thf(93,plain,
( ( ( ! [SY28: $i] :
( ~ ~ ( ~ ( sK1_R @ sK19_SX0 @ sK23_SY23 )
| ~ ( sK1_R @ sK19_SX0 @ SY28 ) )
| ( sK1_R @ sK23_SY23 @ SY28 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK7_SY7 @ sK9_SY10 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[87]) ).
thf(94,plain,
( ( ( ~ ( sK1_R @ sK11_SX0 @ sK13_SY13 )
| ~ ( sK1_R @ sK11_SX0 @ sK15_SY16 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK9_SY10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(95,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK16_SX0 @ sK20_SY17 )
| ~ ( sK1_R @ sK16_SX0 @ sK24_SY25 ) )
| ( sK1_R @ sK20_SY17 @ sK24_SY25 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK6_SY5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[89]) ).
thf(96,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK17_SX0 @ sK21_SY19 )
| ~ ( sK1_R @ sK17_SX0 @ sK25_SY26 ) )
| ( sK1_R @ sK21_SY19 @ sK25_SY26 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK6_SY5 @ sK8_SY9 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[90]) ).
thf(97,plain,
( ( ( ~ ( sK1_R @ sK10_SX0 @ sK12_SY11 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK8_SY9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(98,plain,
( ( ( ~ ( sK1_R @ sK10_SX0 @ sK14_SY15 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK8_SY9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(99,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK18_SX0 @ sK22_SY21 )
| ~ ( sK1_R @ sK18_SX0 @ sK26_SY27 ) )
| ( sK1_R @ sK22_SY21 @ sK26_SY27 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK7_SY7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[92]) ).
thf(100,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK19_SX0 @ sK23_SY23 )
| ~ ( sK1_R @ sK19_SX0 @ sK27_SY28 ) )
| ( sK1_R @ sK23_SY23 @ sK27_SY28 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK7_SY7 @ sK9_SY10 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[93]) ).
thf(101,plain,
( ( ( ~ ( sK1_R @ sK11_SX0 @ sK13_SY13 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK9_SY10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(102,plain,
( ( ( ~ ( sK1_R @ sK11_SX0 @ sK15_SY16 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK9_SY10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(103,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK16_SX0 @ sK20_SY17 )
| ~ ( sK1_R @ sK16_SX0 @ sK24_SY25 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK6_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(104,plain,
( ( ( sK1_R @ sK20_SY17 @ sK24_SY25 )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK6_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(105,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK17_SX0 @ sK21_SY19 )
| ~ ( sK1_R @ sK17_SX0 @ sK25_SY26 ) ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK6_SY5 @ sK8_SY9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(106,plain,
( ( ( sK1_R @ sK21_SY19 @ sK25_SY26 )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK6_SY5 @ sK8_SY9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(107,plain,
( ( ( sK1_R @ sK10_SX0 @ sK12_SY11 )
= $true )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK8_SY9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(108,plain,
( ( ( sK1_R @ sK10_SX0 @ sK14_SY15 )
= $true )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK8_SY9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(109,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK18_SX0 @ sK22_SY21 )
| ~ ( sK1_R @ sK18_SX0 @ sK26_SY27 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK7_SY7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(110,plain,
( ( ( sK1_R @ sK22_SY21 @ sK26_SY27 )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK7_SY7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(111,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK19_SX0 @ sK23_SY23 )
| ~ ( sK1_R @ sK19_SX0 @ sK27_SY28 ) ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK7_SY7 @ sK9_SY10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(112,plain,
( ( ( sK1_R @ sK23_SY23 @ sK27_SY28 )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK7_SY7 @ sK9_SY10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(113,plain,
( ( ( sK1_R @ sK11_SX0 @ sK13_SY13 )
= $true )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK9_SY10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(114,plain,
( ( ( sK1_R @ sK11_SX0 @ sK15_SY16 )
= $true )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK9_SY10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(115,plain,
( ( ( ~ ( ~ ( sK1_R @ sK16_SX0 @ sK20_SY17 )
| ~ ( sK1_R @ sK16_SX0 @ sK24_SY25 ) ) )
= $true )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK6_SY5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(116,plain,
( ( ( ~ ( ~ ( sK1_R @ sK17_SX0 @ sK21_SY19 )
| ~ ( sK1_R @ sK17_SX0 @ sK25_SY26 ) ) )
= $true )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK6_SY5 @ sK8_SY9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(117,plain,
( ( ( ~ ( ~ ( sK1_R @ sK18_SX0 @ sK22_SY21 )
| ~ ( sK1_R @ sK18_SX0 @ sK26_SY27 ) ) )
= $true )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK7_SY7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(118,plain,
( ( ( ~ ( ~ ( sK1_R @ sK19_SX0 @ sK23_SY23 )
| ~ ( sK1_R @ sK19_SX0 @ sK27_SY28 ) ) )
= $true )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK7_SY7 @ sK9_SY10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(119,plain,
( ( ( ~ ( sK1_R @ sK16_SX0 @ sK20_SY17 )
| ~ ( sK1_R @ sK16_SX0 @ sK24_SY25 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK6_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(120,plain,
( ( ( ~ ( sK1_R @ sK17_SX0 @ sK21_SY19 )
| ~ ( sK1_R @ sK17_SX0 @ sK25_SY26 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK6_SY5 @ sK8_SY9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(121,plain,
( ( ( ~ ( sK1_R @ sK18_SX0 @ sK22_SY21 )
| ~ ( sK1_R @ sK18_SX0 @ sK26_SY27 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK7_SY7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(122,plain,
( ( ( ~ ( sK1_R @ sK19_SX0 @ sK23_SY23 )
| ~ ( sK1_R @ sK19_SX0 @ sK27_SY28 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK7_SY7 @ sK9_SY10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(123,plain,
( ( ( ~ ( sK1_R @ sK16_SX0 @ sK20_SY17 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK6_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(124,plain,
( ( ( ~ ( sK1_R @ sK16_SX0 @ sK24_SY25 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK6_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(125,plain,
( ( ( ~ ( sK1_R @ sK17_SX0 @ sK21_SY19 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK6_SY5 @ sK8_SY9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(126,plain,
( ( ( ~ ( sK1_R @ sK17_SX0 @ sK25_SY26 ) )
= $false )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK6_SY5 @ sK8_SY9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(127,plain,
( ( ( ~ ( sK1_R @ sK18_SX0 @ sK22_SY21 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK7_SY7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(128,plain,
( ( ( ~ ( sK1_R @ sK18_SX0 @ sK26_SY27 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK7_SY7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(129,plain,
( ( ( ~ ( sK1_R @ sK19_SX0 @ sK23_SY23 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK7_SY7 @ sK9_SY10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(130,plain,
( ( ( ~ ( sK1_R @ sK19_SX0 @ sK27_SY28 ) )
= $false )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK7_SY7 @ sK9_SY10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(131,plain,
( ( ( sK1_R @ sK16_SX0 @ sK20_SY17 )
= $true )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK6_SY5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(132,plain,
( ( ( sK1_R @ sK16_SX0 @ sK24_SY25 )
= $true )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK4_SX0 @ sK6_SY5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(133,plain,
( ( ( sK1_R @ sK17_SX0 @ sK21_SY19 )
= $true )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK6_SY5 @ sK8_SY9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(134,plain,
( ( ( sK1_R @ sK17_SX0 @ sK25_SY26 )
= $true )
| ( ( sK1_R @ sK3_SY3 @ sK2_SX0 )
= $false )
| ( ( sK1_R @ sK6_SY5 @ sK8_SY9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(135,plain,
( ( ( sK1_R @ sK18_SX0 @ sK22_SY21 )
= $true )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK7_SY7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(136,plain,
( ( ( sK1_R @ sK18_SX0 @ sK26_SY27 )
= $true )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK5_SX0 @ sK7_SY7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(137,plain,
( ( ( sK1_R @ sK19_SX0 @ sK23_SY23 )
= $true )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK7_SY7 @ sK9_SY10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(138,plain,
( ( ( sK1_R @ sK19_SX0 @ sK27_SY28 )
= $true )
| ( ( sK1_R @ sK2_SX0 @ sK3_SY3 )
= $true )
| ( ( sK1_R @ sK7_SY7 @ sK9_SY10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(139,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[36,138,137,136,135,134,133,132,131,114,113,112,110,108,107,106,104,82,78,52]) ).
thf(140,plain,
( ( ( msymmetric @ sK1_R )
& ( mtransitive @ sK1_R )
& ( meuclidean @ sK1_R )
& ( ~ ( meuclidean @ sK1_R )
| ~ ( msymmetric @ sK1_R ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(141,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
| ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140,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(142,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
| ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(143,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(144,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(145,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(146,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(147,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(148,plain,
( ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(149,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(150,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(151,plain,
( ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(152,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(153,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX0 @ SX2 ) )
| ( sK1_R @ SX1 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(154,plain,
( ( ( ! [SY29: $i,SY30: $i] :
( ~ ~ ( ~ ( sK1_R @ sK28_SX0 @ SY29 )
| ~ ( sK1_R @ sK28_SX0 @ SY30 ) )
| ( sK1_R @ SY29 @ SY30 ) ) )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[151]) ).
thf(155,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(156,plain,
! [SV6: $i] :
( ( ! [SY31: $i,SY32: $i] :
( ~ ~ ( ~ ( sK1_R @ SV6 @ SY31 )
| ~ ( sK1_R @ SV6 @ SY32 ) )
| ( sK1_R @ SY31 @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(157,plain,
( ( ( ! [SY33: $i] :
( ~ ~ ( ~ ( sK1_R @ sK28_SX0 @ sK29_SY29 )
| ~ ( sK1_R @ sK28_SX0 @ SY33 ) )
| ( sK1_R @ sK29_SY29 @ SY33 ) ) )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[154]) ).
thf(158,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(159,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(160,plain,
! [SV7: $i,SV6: $i] :
( ( ! [SY34: $i] :
( ~ ~ ( ~ ( sK1_R @ SV6 @ SV7 )
| ~ ( sK1_R @ SV6 @ SY34 ) )
| ( sK1_R @ SV7 @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(161,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK28_SX0 @ sK29_SY29 )
| ~ ( sK1_R @ sK28_SX0 @ sK30_SY33 ) )
| ( sK1_R @ sK29_SY29 @ sK30_SY33 ) )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[157]) ).
thf(162,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(163,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( sK1_R @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 ) )
| ( sK1_R @ SX0 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(164,plain,
! [SV8: $i,SV7: $i,SV6: $i] :
( ( ~ ~ ( ~ ( sK1_R @ SV6 @ SV7 )
| ~ ( sK1_R @ SV6 @ SV8 ) )
| ( sK1_R @ SV7 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(165,plain,
( ( ( ~ ~ ( ~ ( sK1_R @ sK28_SX0 @ sK29_SY29 )
| ~ ( sK1_R @ sK28_SX0 @ sK30_SY33 ) ) )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(166,plain,
( ( ( sK1_R @ sK29_SY29 @ sK30_SY33 )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(167,plain,
! [SV9: $i] :
( ( ! [SY35: $i] :
( ~ ( sK1_R @ SV9 @ SY35 )
| ( sK1_R @ SY35 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(168,plain,
! [SV10: $i] :
( ( ! [SY36: $i,SY37: $i] :
( ~ ~ ( ~ ( sK1_R @ SV10 @ SY36 )
| ~ ( sK1_R @ SY36 @ SY37 ) )
| ( sK1_R @ SV10 @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(169,plain,
! [SV8: $i,SV7: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ( sK1_R @ SV6 @ SV7 )
| ~ ( sK1_R @ SV6 @ SV8 ) ) )
= $true )
| ( ( sK1_R @ SV7 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(170,plain,
( ( ( ~ ( ~ ( sK1_R @ sK28_SX0 @ sK29_SY29 )
| ~ ( sK1_R @ sK28_SX0 @ sK30_SY33 ) ) )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(171,plain,
( ( ( ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $false )
| ( ( sK1_R @ sK29_SY29 @ sK30_SY33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(172,plain,
! [SV11: $i,SV9: $i] :
( ( ~ ( sK1_R @ SV9 @ SV11 )
| ( sK1_R @ SV11 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(173,plain,
! [SV12: $i,SV10: $i] :
( ( ! [SY38: $i] :
( ~ ~ ( ~ ( sK1_R @ SV10 @ SV12 )
| ~ ( sK1_R @ SV12 @ SY38 ) )
| ( sK1_R @ SV10 @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(174,plain,
! [SV8: $i,SV7: $i,SV6: $i] :
( ( ( ~ ( ~ ( sK1_R @ SV6 @ SV7 )
| ~ ( sK1_R @ SV6 @ SV8 ) ) )
= $false )
| ( ( sK1_R @ SV7 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(175,plain,
( ( ( ~ ( sK1_R @ sK28_SX0 @ sK29_SY29 )
| ~ ( sK1_R @ sK28_SX0 @ sK30_SY33 ) )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(176,plain,
( ( ( ! [SY39: $i] :
( ~ ( sK1_R @ sK31_SX0 @ SY39 )
| ( sK1_R @ SY39 @ sK31_SX0 ) ) )
= $false )
| ( ( sK1_R @ sK29_SY29 @ sK30_SY33 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[171]) ).
thf(177,plain,
! [SV11: $i,SV9: $i] :
( ( ( ~ ( sK1_R @ SV9 @ SV11 ) )
= $true )
| ( ( sK1_R @ SV11 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(178,plain,
! [SV13: $i,SV12: $i,SV10: $i] :
( ( ~ ~ ( ~ ( sK1_R @ SV10 @ SV12 )
| ~ ( sK1_R @ SV12 @ SV13 ) )
| ( sK1_R @ SV10 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(179,plain,
! [SV8: $i,SV7: $i,SV6: $i] :
( ( ( ~ ( sK1_R @ SV6 @ SV7 )
| ~ ( sK1_R @ SV6 @ SV8 ) )
= $true )
| ( ( sK1_R @ SV7 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(180,plain,
( ( ( ~ ( sK1_R @ sK28_SX0 @ sK29_SY29 ) )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(181,plain,
( ( ( ~ ( sK1_R @ sK28_SX0 @ sK30_SY33 ) )
= $false )
| ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(182,plain,
( ( ( ~ ( sK1_R @ sK31_SX0 @ sK32_SY39 )
| ( sK1_R @ sK32_SY39 @ sK31_SX0 ) )
= $false )
| ( ( sK1_R @ sK29_SY29 @ sK30_SY33 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[176]) ).
thf(183,plain,
! [SV11: $i,SV9: $i] :
( ( ( sK1_R @ SV9 @ SV11 )
= $false )
| ( ( sK1_R @ SV11 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(184,plain,
! [SV13: $i,SV12: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( sK1_R @ SV10 @ SV12 )
| ~ ( sK1_R @ SV12 @ SV13 ) ) )
= $true )
| ( ( sK1_R @ SV10 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(185,plain,
! [SV8: $i,SV7: $i,SV6: $i] :
( ( ( ~ ( sK1_R @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( sK1_R @ SV6 @ SV8 ) )
= $true )
| ( ( sK1_R @ SV7 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(186,plain,
( ( ( sK1_R @ sK28_SX0 @ sK29_SY29 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(187,plain,
( ( ( sK1_R @ sK28_SX0 @ sK30_SY33 )
= $true )
| ( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(188,plain,
( ( ( ~ ( sK1_R @ sK31_SX0 @ sK32_SY39 ) )
= $false )
| ( ( sK1_R @ sK29_SY29 @ sK30_SY33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(189,plain,
( ( ( sK1_R @ sK32_SY39 @ sK31_SX0 )
= $false )
| ( ( sK1_R @ sK29_SY29 @ sK30_SY33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(190,plain,
! [SV13: $i,SV12: $i,SV10: $i] :
( ( ( ~ ( ~ ( sK1_R @ SV10 @ SV12 )
| ~ ( sK1_R @ SV12 @ SV13 ) ) )
= $false )
| ( ( sK1_R @ SV10 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(191,plain,
! [SV8: $i,SV7: $i,SV6: $i] :
( ( ( sK1_R @ SV6 @ SV7 )
= $false )
| ( ( ~ ( sK1_R @ SV6 @ SV8 ) )
= $true )
| ( ( sK1_R @ SV7 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(192,plain,
( ( ( ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $false )
| ( ( sK1_R @ sK28_SX0 @ sK29_SY29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(193,plain,
( ( ( ! [SX0: $i,SX1: $i] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ SX1 @ SX0 ) ) )
= $false )
| ( ( sK1_R @ sK28_SX0 @ sK30_SY33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(194,plain,
( ( ( sK1_R @ sK31_SX0 @ sK32_SY39 )
= $true )
| ( ( sK1_R @ sK29_SY29 @ sK30_SY33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(195,plain,
! [SV13: $i,SV12: $i,SV10: $i] :
( ( ( ~ ( sK1_R @ SV10 @ SV12 )
| ~ ( sK1_R @ SV12 @ SV13 ) )
= $true )
| ( ( sK1_R @ SV10 @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(196,plain,
! [SV7: $i,SV8: $i,SV6: $i] :
( ( ( sK1_R @ SV6 @ SV8 )
= $false )
| ( ( sK1_R @ SV6 @ SV7 )
= $false )
| ( ( sK1_R @ SV7 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(197,plain,
( ( ( ! [SY40: $i] :
( ~ ( sK1_R @ sK33_SX0 @ SY40 )
| ( sK1_R @ SY40 @ sK33_SX0 ) ) )
= $false )
| ( ( sK1_R @ sK28_SX0 @ sK29_SY29 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[192]) ).
thf(198,plain,
( ( ( ! [SY41: $i] :
( ~ ( sK1_R @ sK34_SX0 @ SY41 )
| ( sK1_R @ SY41 @ sK34_SX0 ) ) )
= $false )
| ( ( sK1_R @ sK28_SX0 @ sK30_SY33 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[193]) ).
thf(199,plain,
! [SV13: $i,SV12: $i,SV10: $i] :
( ( ( ~ ( sK1_R @ SV10 @ SV12 ) )
= $true )
| ( ( ~ ( sK1_R @ SV12 @ SV13 ) )
= $true )
| ( ( sK1_R @ SV10 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(200,plain,
( ( ( ~ ( sK1_R @ sK33_SX0 @ sK35_SY40 )
| ( sK1_R @ sK35_SY40 @ sK33_SX0 ) )
= $false )
| ( ( sK1_R @ sK28_SX0 @ sK29_SY29 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[197]) ).
thf(201,plain,
( ( ( ~ ( sK1_R @ sK34_SX0 @ sK36_SY41 )
| ( sK1_R @ sK36_SY41 @ sK34_SX0 ) )
= $false )
| ( ( sK1_R @ sK28_SX0 @ sK30_SY33 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[198]) ).
thf(202,plain,
! [SV13: $i,SV12: $i,SV10: $i] :
( ( ( sK1_R @ SV10 @ SV12 )
= $false )
| ( ( ~ ( sK1_R @ SV12 @ SV13 ) )
= $true )
| ( ( sK1_R @ SV10 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(203,plain,
( ( ( ~ ( sK1_R @ sK33_SX0 @ sK35_SY40 ) )
= $false )
| ( ( sK1_R @ sK28_SX0 @ sK29_SY29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(204,plain,
( ( ( sK1_R @ sK35_SY40 @ sK33_SX0 )
= $false )
| ( ( sK1_R @ sK28_SX0 @ sK29_SY29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(205,plain,
( ( ( ~ ( sK1_R @ sK34_SX0 @ sK36_SY41 ) )
= $false )
| ( ( sK1_R @ sK28_SX0 @ sK30_SY33 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(206,plain,
( ( ( sK1_R @ sK36_SY41 @ sK34_SX0 )
= $false )
| ( ( sK1_R @ sK28_SX0 @ sK30_SY33 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(207,plain,
! [SV10: $i,SV13: $i,SV12: $i] :
( ( ( sK1_R @ SV12 @ SV13 )
= $false )
| ( ( sK1_R @ SV10 @ SV12 )
= $false )
| ( ( sK1_R @ SV10 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(208,plain,
( ( ( sK1_R @ sK33_SX0 @ sK35_SY40 )
= $true )
| ( ( sK1_R @ sK28_SX0 @ sK29_SY29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(209,plain,
( ( ( sK1_R @ sK34_SX0 @ sK36_SY41 )
= $true )
| ( ( sK1_R @ sK28_SX0 @ sK30_SY33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(210,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[183,209,208,207,206,204,196,194,189]) ).
thf(211,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[210,139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LCL866^1 : TPTP v8.1.0. Bugfixed v5.0.0.
% 0.02/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n012.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 : Mon Jul 4 17:18:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 5293
% 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: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)........
% 0.20/0.50
% 0.20/0.50 ********************************
% 0.20/0.50 * All subproblems solved! *
% 0.20/0.50 ********************************
% 0.20/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:210,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.52
% 0.20/0.52 %**** Beginning of derivation protocol ****
% 0.20/0.52 % SZS output start CNFRefutation
% See solution above
% 0.20/0.52
% 0.20/0.52 %**** End of derivation protocol ****
% 0.20/0.52 %**** no. of clauses in derivation: 211 ****
% 0.20/0.52 %**** clause counter: 210 ****
% 0.20/0.52
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:210,loop_count:0,foatp_calls:1,translation:fof_full)
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