%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ086^1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:36:54 AM UTC 2026
% Result : Theorem 0.10s 0.29s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 44
% Syntax : Number of formulae : 229 ( 89 unt; 0 typ; 31 def)
% Number of atoms : 1591 ( 416 equ; 0 cnn)
% Maximal formula atoms : 12 ( 6 avg)
% Number of connectives : 2348 ( 395 ~; 465 |; 14 &;1460 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 107 ( 107 >; 0 *; 0 +; 0 <<)
% Number of symbols : 53 ( 50 usr; 11 con; 0-3 aty)
% Number of variables : 600 ( 51 ^; 543 !; 6 ?; 600 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mu,type,
mu: $tType ).
thf(tp_appointment,type,
appointment: $i > $o ).
thf(tp_john,type,
john: $i > $i > $o ).
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_peter,type,
peter: $i > $i > $o ).
thf(tp_place,type,
place: $i > $o ).
thf(tp_sK10_SY309,type,
sK10_SY309: $i ).
thf(tp_sK11_SY270,type,
sK11_SY270: $i ).
thf(tp_sK12_SY311,type,
sK12_SY311: $i ).
thf(tp_sK13_SY313,type,
sK13_SY313: $i ).
thf(tp_sK1_SY42,type,
sK1_SY42: $i ).
thf(tp_sK2_SY268,type,
sK2_SY268: $i ).
thf(tp_sK3_SY294,type,
sK3_SY294: ( $i > $o ) > $i > $i ).
thf(tp_sK4_SY298,type,
sK4_SY298: ( $i > $o ) > $i > $i ).
thf(tp_sK5_SY307,type,
sK5_SY307: $i ).
thf(tp_sK6_SY308,type,
sK6_SY308: $i > ( $i > $o ) > $i ).
thf(tp_sK7_SY301,type,
sK7_SY301: $i > $i > $i ).
thf(tp_sK8_SY270,type,
sK8_SY270: $i ).
thf(tp_sK9_SY270,type,
sK9_SY270: $i ).
thf(tp_time,type,
time: $i > $o ).
thf(tp_wife,type,
wife: ( $i > $i > $o ) > $i > $i > $o ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mcountersatisfiable) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
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_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(mfunctional,definition,
( mfunctional
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] :
( ( R @ S @ T )
& ! [U: $i] :
( ( R @ S @ U )
=> ( T = U ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
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(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/sandbox2/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mtransitive) ).
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(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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mxor) ).
thf(1,axiom,
mvalid @ ( mbox @ peter @ ( mbox @ john @ ( mimplies @ ( mand @ place @ time ) @ appointment ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_d) ).
thf(2,axiom,
mvalid @ ( mbox @ ( wife @ peter ) @ ( mimplies @ ( mbox @ peter @ time ) @ ( mbox @ john @ time ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_c) ).
thf(3,axiom,
mvalid @ ( mbox @ peter @ ( mbox @ john @ place ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_b) ).
thf(4,axiom,
mvalid @ ( mbox @ peter @ time ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_a) ).
thf(5,axiom,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ ( wife @ peter ) @ A ) @ ( mbox @ peter @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_ii) ).
thf(6,axiom,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ peter @ ( mbox @ john @ A ) ) @ ( mbox @ john @ ( mbox @ peter @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_i) ).
thf(7,axiom,
mtransitive @ ( wife @ peter ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_wife_peter) ).
thf(8,axiom,
mtransitive @ john,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_john) ).
thf(9,axiom,
mtransitive @ peter,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_peter) ).
thf(10,axiom,
mreflexive @ ( wife @ peter ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_wife_peter) ).
thf(11,axiom,
mreflexive @ john,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_john) ).
thf(12,axiom,
mreflexive @ peter,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_peter) ).
thf(13,conjecture,
mvalid @ ( mand @ ( mbox @ peter @ ( mbox @ john @ appointment ) ) @ ( mbox @ john @ ( mbox @ peter @ appointment ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(14,negated_conjecture,
( ( mvalid @ ( mand @ ( mbox @ peter @ ( mbox @ john @ appointment ) ) @ ( mbox @ john @ ( mbox @ peter @ appointment ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[13]) ).
thf(15,plain,
( ( ! [SY42: $i] :
~ ( ~ ! [SY43: $i] :
( ~ ( peter @ SY42 @ SY43 )
| ! [SY10: $i] :
( ~ ( john @ SY43 @ SY10 )
| ( appointment @ SY10 ) ) )
| ~ ! [SY45: $i] :
( ~ ( john @ SY42 @ SY45 )
| ! [SY36: $i] :
( ~ ( peter @ SY45 @ SY36 )
| ( appointment @ SY36 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[14,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(16,plain,
( ( ! [SY77: $i,SY78: $i] :
( ~ ( peter @ SY77 @ SY78 )
| ! [SY76: $i] :
( ~ ( john @ SY78 @ SY76 )
| ~ ~ ( ~ ( place @ SY76 )
| ~ ( time @ SY76 ) )
| ( appointment @ SY76 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,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(17,plain,
( ( ! [SY111: $i,SY112: $i] :
( ~ ( wife @ peter @ SY111 @ SY112 )
| ~ ! [SY109: $i] :
( ~ ( peter @ SY112 @ SY109 )
| ( time @ SY109 ) )
| ! [SY110: $i] :
( ~ ( john @ SY112 @ SY110 )
| ( time @ SY110 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,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(18,plain,
( ( ! [SY130: $i,SY131: $i] :
( ~ ( peter @ SY130 @ SY131 )
| ! [SY129: $i] :
( ~ ( john @ SY131 @ SY129 )
| ( place @ SY129 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,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(19,plain,
( ( ! [SY141: $i,SY142: $i] :
( ~ ( peter @ SY141 @ SY142 )
| ( time @ SY142 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,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(20,plain,
( ( ! [SY174: $i,SY175: $i > $o] :
( ~ ! [SY176: $i] :
( ~ ( wife @ peter @ SY174 @ SY176 )
| ( SY175 @ SY176 ) )
| ! [SY177: $i] :
( ~ ( peter @ SY174 @ SY177 )
| ( SY175 @ SY177 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,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(21,plain,
( ( ! [SY232: $i,SY233: $i > $o] :
( ~ ! [SY234: $i] :
( ~ ( peter @ SY232 @ SY234 )
| ! [SY225: $i] :
( ~ ( john @ SY234 @ SY225 )
| ( SY233 @ SY225 ) ) )
| ! [SY236: $i] :
( ~ ( john @ SY232 @ SY236 )
| ! [SY227: $i] :
( ~ ( peter @ SY236 @ SY227 )
| ( SY233 @ SY227 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,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(22,plain,
( ( ! [SY244: $i,SY245: $i,SY246: $i] :
( ( ( wife @ peter @ SY244 @ SY245 )
& ( wife @ peter @ SY245 @ SY246 ) )
=> ( wife @ peter @ SY244 @ SY246 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(23,plain,
( ( ! [SY250: $i,SY251: $i,SY252: $i] :
( ( ( john @ SY250 @ SY251 )
& ( john @ SY251 @ SY252 ) )
=> ( john @ SY250 @ SY252 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(24,plain,
( ( ! [SY256: $i,SY257: $i,SY258: $i] :
( ( ( peter @ SY256 @ SY257 )
& ( peter @ SY257 @ SY258 ) )
=> ( peter @ SY256 @ SY258 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,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(25,plain,
( ( ! [SY262: $i] : ( wife @ peter @ SY262 @ SY262 ) )
= $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(26,plain,
( ( ! [SY264: $i] : ( john @ SY264 @ SY264 ) )
= $true ),
inference(unfold_def,[status(thm)],[11,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(27,plain,
( ( ! [SY266: $i] : ( peter @ SY266 @ SY266 ) )
= $true ),
inference(unfold_def,[status(thm)],[12,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(28,plain,
( ( ~ ( ~ ! [SY268: $i] :
( ~ ( peter @ sK1_SY42 @ SY268 )
| ! [SY10: $i] :
( ~ ( john @ SY268 @ SY10 )
| ( appointment @ SY10 ) ) )
| ~ ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(29,plain,
( ( ~ ! [SY268: $i] :
( ~ ( peter @ sK1_SY42 @ SY268 )
| ! [SY10: $i] :
( ~ ( john @ SY268 @ SY10 )
| ( appointment @ SY10 ) ) )
| ~ ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[28]) ).
thf(30,plain,
( ( ! [SY266: $i] : ( peter @ SY266 @ SY266 ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(31,plain,
( ( ! [SY264: $i] : ( john @ SY264 @ SY264 ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(32,plain,
( ( ! [SY262: $i] : ( wife @ peter @ SY262 @ SY262 ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(33,plain,
( ( ! [SY256: $i,SY257: $i,SY258: $i] :
( ( ( peter @ SY256 @ SY257 )
& ( peter @ SY257 @ SY258 ) )
=> ( peter @ SY256 @ SY258 ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(34,plain,
( ( ! [SY250: $i,SY251: $i,SY252: $i] :
( ( ( john @ SY250 @ SY251 )
& ( john @ SY251 @ SY252 ) )
=> ( john @ SY250 @ SY252 ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(35,plain,
( ( ! [SY244: $i,SY245: $i,SY246: $i] :
( ( ( wife @ peter @ SY244 @ SY245 )
& ( wife @ peter @ SY245 @ SY246 ) )
=> ( wife @ peter @ SY244 @ SY246 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(36,plain,
( ( ! [SY232: $i,SY233: $i > $o] :
( ~ ! [SY234: $i] :
( ~ ( peter @ SY232 @ SY234 )
| ! [SY225: $i] :
( ~ ( john @ SY234 @ SY225 )
| ( SY233 @ SY225 ) ) )
| ! [SY236: $i] :
( ~ ( john @ SY232 @ SY236 )
| ! [SY227: $i] :
( ~ ( peter @ SY236 @ SY227 )
| ( SY233 @ SY227 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(37,plain,
( ( ! [SY174: $i,SY175: $i > $o] :
( ~ ! [SY176: $i] :
( ~ ( wife @ peter @ SY174 @ SY176 )
| ( SY175 @ SY176 ) )
| ! [SY177: $i] :
( ~ ( peter @ SY174 @ SY177 )
| ( SY175 @ SY177 ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(38,plain,
( ( ! [SY141: $i,SY142: $i] :
( ~ ( peter @ SY141 @ SY142 )
| ( time @ SY142 ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(39,plain,
( ( ! [SY130: $i,SY131: $i] :
( ~ ( peter @ SY130 @ SY131 )
| ! [SY129: $i] :
( ~ ( john @ SY131 @ SY129 )
| ( place @ SY129 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(40,plain,
( ( ! [SY111: $i,SY112: $i] :
( ~ ( wife @ peter @ SY111 @ SY112 )
| ~ ! [SY109: $i] :
( ~ ( peter @ SY112 @ SY109 )
| ( time @ SY109 ) )
| ! [SY110: $i] :
( ~ ( john @ SY112 @ SY110 )
| ( time @ SY110 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(41,plain,
( ( ! [SY77: $i,SY78: $i] :
( ~ ( peter @ SY77 @ SY78 )
| ! [SY76: $i] :
( ~ ( john @ SY78 @ SY76 )
| ~ ~ ( ~ ( place @ SY76 )
| ~ ( time @ SY76 ) )
| ( appointment @ SY76 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(42,plain,
( ( ~ ! [SY268: $i] :
( ~ ( peter @ sK1_SY42 @ SY268 )
| ! [SY10: $i] :
( ~ ( john @ SY268 @ SY10 )
| ( appointment @ SY10 ) ) )
| ~ ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(43,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( wife @ peter @ SX0 @ SX1 )
| ~ ( wife @ peter @ SX1 @ SX2 ) )
| ( wife @ peter @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35,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(44,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( peter @ SX0 @ SX1 )
| ~ ( peter @ SX1 @ SX2 ) )
| ( peter @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33,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(45,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( john @ SX0 @ SX1 )
| ~ ( john @ SX1 @ SX2 ) )
| ( john @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34,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(46,plain,
! [SV1: $i] :
( ( peter @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(47,plain,
! [SV2: $i] :
( ( john @ SV2 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(48,plain,
! [SV3: $i] :
( ( wife @ peter @ SV3 @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(49,plain,
! [SV4: $i] :
( ( ! [SY272: $i > $o] :
( ~ ! [SY273: $i] :
( ~ ( peter @ SV4 @ SY273 )
| ! [SY225: $i] :
( ~ ( john @ SY273 @ SY225 )
| ( SY272 @ SY225 ) ) )
| ! [SY275: $i] :
( ~ ( john @ SV4 @ SY275 )
| ! [SY227: $i] :
( ~ ( peter @ SY275 @ SY227 )
| ( SY272 @ SY227 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(50,plain,
! [SV5: $i] :
( ( ! [SY277: $i > $o] :
( ~ ! [SY278: $i] :
( ~ ( wife @ peter @ SV5 @ SY278 )
| ( SY277 @ SY278 ) )
| ! [SY279: $i] :
( ~ ( peter @ SV5 @ SY279 )
| ( SY277 @ SY279 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(51,plain,
! [SV6: $i] :
( ( ! [SY280: $i] :
( ~ ( peter @ SV6 @ SY280 )
| ( time @ SY280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(52,plain,
! [SV7: $i] :
( ( ! [SY281: $i] :
( ~ ( peter @ SV7 @ SY281 )
| ! [SY129: $i] :
( ~ ( john @ SY281 @ SY129 )
| ( place @ SY129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(53,plain,
! [SV8: $i] :
( ( ! [SY283: $i] :
( ~ ( wife @ peter @ SV8 @ SY283 )
| ~ ! [SY109: $i] :
( ~ ( peter @ SY283 @ SY109 )
| ( time @ SY109 ) )
| ! [SY110: $i] :
( ~ ( john @ SY283 @ SY110 )
| ( time @ SY110 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(54,plain,
! [SV9: $i] :
( ( ! [SY286: $i] :
( ~ ( peter @ SV9 @ SY286 )
| ! [SY76: $i] :
( ~ ( john @ SY286 @ SY76 )
| ~ ~ ( ~ ( place @ SY76 )
| ~ ( time @ SY76 ) )
| ( appointment @ SY76 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(55,plain,
( ( ( ~ ! [SY268: $i] :
( ~ ( peter @ sK1_SY42 @ SY268 )
| ! [SY10: $i] :
( ~ ( john @ SY268 @ SY10 )
| ( appointment @ SY10 ) ) ) )
= $true )
| ( ( ~ ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(56,plain,
! [SV10: $i] :
( ( ! [SY288: $i,SY289: $i] :
( ~ ~ ( ~ ( wife @ peter @ SV10 @ SY288 )
| ~ ( wife @ peter @ SY288 @ SY289 ) )
| ( wife @ peter @ SV10 @ SY289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(57,plain,
! [SV11: $i] :
( ( ! [SY290: $i,SY291: $i] :
( ~ ~ ( ~ ( peter @ SV11 @ SY290 )
| ~ ( peter @ SY290 @ SY291 ) )
| ( peter @ SV11 @ SY291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(58,plain,
! [SV12: $i] :
( ( ! [SY292: $i,SY293: $i] :
( ~ ~ ( ~ ( john @ SV12 @ SY292 )
| ~ ( john @ SY292 @ SY293 ) )
| ( john @ SV12 @ SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(59,plain,
! [SV13: $i > $o,SV4: $i] :
( ( ~ ! [SY294: $i] :
( ~ ( peter @ SV4 @ SY294 )
| ! [SY295: $i] :
( ~ ( john @ SY294 @ SY295 )
| ( SV13 @ SY295 ) ) )
| ! [SY296: $i] :
( ~ ( john @ SV4 @ SY296 )
| ! [SY297: $i] :
( ~ ( peter @ SY296 @ SY297 )
| ( SV13 @ SY297 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(60,plain,
! [SV14: $i > $o,SV5: $i] :
( ( ~ ! [SY298: $i] :
( ~ ( wife @ peter @ SV5 @ SY298 )
| ( SV14 @ SY298 ) )
| ! [SY299: $i] :
( ~ ( peter @ SV5 @ SY299 )
| ( SV14 @ SY299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(61,plain,
! [SV15: $i,SV6: $i] :
( ( ~ ( peter @ SV6 @ SV15 )
| ( time @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(62,plain,
! [SV16: $i,SV7: $i] :
( ( ~ ( peter @ SV7 @ SV16 )
| ! [SY300: $i] :
( ~ ( john @ SV16 @ SY300 )
| ( place @ SY300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(63,plain,
! [SV17: $i,SV8: $i] :
( ( ~ ( wife @ peter @ SV8 @ SV17 )
| ~ ! [SY301: $i] :
( ~ ( peter @ SV17 @ SY301 )
| ( time @ SY301 ) )
| ! [SY302: $i] :
( ~ ( john @ SV17 @ SY302 )
| ( time @ SY302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(64,plain,
! [SV18: $i,SV9: $i] :
( ( ~ ( peter @ SV9 @ SV18 )
| ! [SY303: $i] :
( ~ ( john @ SV18 @ SY303 )
| ~ ~ ( ~ ( place @ SY303 )
| ~ ( time @ SY303 ) )
| ( appointment @ SY303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(65,plain,
( ( ( ! [SY268: $i] :
( ~ ( peter @ sK1_SY42 @ SY268 )
| ! [SY10: $i] :
( ~ ( john @ SY268 @ SY10 )
| ( appointment @ SY10 ) ) ) )
= $false )
| ( ( ~ ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(66,plain,
! [SV19: $i,SV10: $i] :
( ( ! [SY304: $i] :
( ~ ~ ( ~ ( wife @ peter @ SV10 @ SV19 )
| ~ ( wife @ peter @ SV19 @ SY304 ) )
| ( wife @ peter @ SV10 @ SY304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(67,plain,
! [SV20: $i,SV11: $i] :
( ( ! [SY305: $i] :
( ~ ~ ( ~ ( peter @ SV11 @ SV20 )
| ~ ( peter @ SV20 @ SY305 ) )
| ( peter @ SV11 @ SY305 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(68,plain,
! [SV21: $i,SV12: $i] :
( ( ! [SY306: $i] :
( ~ ~ ( ~ ( john @ SV12 @ SV21 )
| ~ ( john @ SV21 @ SY306 ) )
| ( john @ SV12 @ SY306 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(69,plain,
! [SV13: $i > $o,SV4: $i] :
( ( ( ~ ! [SY294: $i] :
( ~ ( peter @ SV4 @ SY294 )
| ! [SY295: $i] :
( ~ ( john @ SY294 @ SY295 )
| ( SV13 @ SY295 ) ) ) )
= $true )
| ( ( ! [SY296: $i] :
( ~ ( john @ SV4 @ SY296 )
| ! [SY297: $i] :
( ~ ( peter @ SY296 @ SY297 )
| ( SV13 @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(70,plain,
! [SV14: $i > $o,SV5: $i] :
( ( ( ~ ! [SY298: $i] :
( ~ ( wife @ peter @ SV5 @ SY298 )
| ( SV14 @ SY298 ) ) )
= $true )
| ( ( ! [SY299: $i] :
( ~ ( peter @ SV5 @ SY299 )
| ( SV14 @ SY299 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(71,plain,
! [SV15: $i,SV6: $i] :
( ( ( ~ ( peter @ SV6 @ SV15 ) )
= $true )
| ( ( time @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(72,plain,
! [SV16: $i,SV7: $i] :
( ( ( ~ ( peter @ SV7 @ SV16 ) )
= $true )
| ( ( ! [SY300: $i] :
( ~ ( john @ SV16 @ SY300 )
| ( place @ SY300 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(73,plain,
! [SV17: $i,SV8: $i] :
( ( ( ~ ( wife @ peter @ SV8 @ SV17 ) )
= $true )
| ( ( ~ ! [SY301: $i] :
( ~ ( peter @ SV17 @ SY301 )
| ( time @ SY301 ) )
| ! [SY302: $i] :
( ~ ( john @ SV17 @ SY302 )
| ( time @ SY302 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(74,plain,
! [SV18: $i,SV9: $i] :
( ( ( ~ ( peter @ SV9 @ SV18 ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( john @ SV18 @ SY303 )
| ~ ~ ( ~ ( place @ SY303 )
| ~ ( time @ SY303 ) )
| ( appointment @ SY303 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(75,plain,
( ( ( ~ ( peter @ sK1_SY42 @ sK2_SY268 )
| ! [SY307: $i] :
( ~ ( john @ sK2_SY268 @ SY307 )
| ( appointment @ SY307 ) ) )
= $false )
| ( ( ~ ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[65]) ).
thf(76,plain,
! [SV22: $i,SV19: $i,SV10: $i] :
( ( ~ ~ ( ~ ( wife @ peter @ SV10 @ SV19 )
| ~ ( wife @ peter @ SV19 @ SV22 ) )
| ( wife @ peter @ SV10 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(77,plain,
! [SV23: $i,SV20: $i,SV11: $i] :
( ( ~ ~ ( ~ ( peter @ SV11 @ SV20 )
| ~ ( peter @ SV20 @ SV23 ) )
| ( peter @ SV11 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(78,plain,
! [SV24: $i,SV21: $i,SV12: $i] :
( ( ~ ~ ( ~ ( john @ SV12 @ SV21 )
| ~ ( john @ SV21 @ SV24 ) )
| ( john @ SV12 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(79,plain,
! [SV13: $i > $o,SV4: $i] :
( ( ( ! [SY294: $i] :
( ~ ( peter @ SV4 @ SY294 )
| ! [SY295: $i] :
( ~ ( john @ SY294 @ SY295 )
| ( SV13 @ SY295 ) ) ) )
= $false )
| ( ( ! [SY296: $i] :
( ~ ( john @ SV4 @ SY296 )
| ! [SY297: $i] :
( ~ ( peter @ SY296 @ SY297 )
| ( SV13 @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(80,plain,
! [SV14: $i > $o,SV5: $i] :
( ( ( ! [SY298: $i] :
( ~ ( wife @ peter @ SV5 @ SY298 )
| ( SV14 @ SY298 ) ) )
= $false )
| ( ( ! [SY299: $i] :
( ~ ( peter @ SV5 @ SY299 )
| ( SV14 @ SY299 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(81,plain,
! [SV15: $i,SV6: $i] :
( ( ( peter @ SV6 @ SV15 )
= $false )
| ( ( time @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV16: $i,SV7: $i] :
( ( ( peter @ SV7 @ SV16 )
= $false )
| ( ( ! [SY300: $i] :
( ~ ( john @ SV16 @ SY300 )
| ( place @ SY300 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV17: $i,SV8: $i] :
( ( ( wife @ peter @ SV8 @ SV17 )
= $false )
| ( ( ~ ! [SY301: $i] :
( ~ ( peter @ SV17 @ SY301 )
| ( time @ SY301 ) )
| ! [SY302: $i] :
( ~ ( john @ SV17 @ SY302 )
| ( time @ SY302 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV18: $i,SV9: $i] :
( ( ( peter @ SV9 @ SV18 )
= $false )
| ( ( ! [SY303: $i] :
( ~ ( john @ SV18 @ SY303 )
| ~ ~ ( ~ ( place @ SY303 )
| ~ ( time @ SY303 ) )
| ( appointment @ SY303 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(85,plain,
( ( ( ~ ( peter @ sK1_SY42 @ sK2_SY268 ) )
= $false )
| ( ( ~ ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(86,plain,
( ( ( ! [SY307: $i] :
( ~ ( john @ sK2_SY268 @ SY307 )
| ( appointment @ SY307 ) ) )
= $false )
| ( ( ~ ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(87,plain,
! [SV22: $i,SV19: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( wife @ peter @ SV10 @ SV19 )
| ~ ( wife @ peter @ SV19 @ SV22 ) ) )
= $true )
| ( ( wife @ peter @ SV10 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(88,plain,
! [SV23: $i,SV20: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( peter @ SV11 @ SV20 )
| ~ ( peter @ SV20 @ SV23 ) ) )
= $true )
| ( ( peter @ SV11 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(89,plain,
! [SV24: $i,SV21: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( john @ SV12 @ SV21 )
| ~ ( john @ SV21 @ SV24 ) ) )
= $true )
| ( ( john @ SV12 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(90,plain,
! [SV13: $i > $o,SV4: $i] :
( ( ( ~ ( peter @ SV4 @ ( sK3_SY294 @ SV13 @ SV4 ) )
| ! [SY308: $i] :
( ~ ( john @ ( sK3_SY294 @ SV13 @ SV4 ) @ SY308 )
| ( SV13 @ SY308 ) ) )
= $false )
| ( ( ! [SY296: $i] :
( ~ ( john @ SV4 @ SY296 )
| ! [SY297: $i] :
( ~ ( peter @ SY296 @ SY297 )
| ( SV13 @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[79]) ).
thf(91,plain,
! [SV14: $i > $o,SV5: $i] :
( ( ( ~ ( wife @ peter @ SV5 @ ( sK4_SY298 @ SV14 @ SV5 ) )
| ( SV14 @ ( sK4_SY298 @ SV14 @ SV5 ) ) )
= $false )
| ( ( ! [SY299: $i] :
( ~ ( peter @ SV5 @ SY299 )
| ( SV14 @ SY299 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[80]) ).
thf(92,plain,
! [SV7: $i,SV25: $i,SV16: $i] :
( ( ( ~ ( john @ SV16 @ SV25 )
| ( place @ SV25 ) )
= $true )
| ( ( peter @ SV7 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV8: $i,SV17: $i] :
( ( ( ~ ! [SY301: $i] :
( ~ ( peter @ SV17 @ SY301 )
| ( time @ SY301 ) ) )
= $true )
| ( ( ! [SY302: $i] :
( ~ ( john @ SV17 @ SY302 )
| ( time @ SY302 ) ) )
= $true )
| ( ( wife @ peter @ SV8 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV9: $i,SV26: $i,SV18: $i] :
( ( ( ~ ( john @ SV18 @ SV26 )
| ~ ~ ( ~ ( place @ SV26 )
| ~ ( time @ SV26 ) )
| ( appointment @ SV26 ) )
= $true )
| ( ( peter @ SV9 @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(95,plain,
( ( ( peter @ sK1_SY42 @ sK2_SY268 )
= $true )
| ( ( ~ ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(96,plain,
( ( ( ~ ( john @ sK2_SY268 @ sK5_SY307 )
| ( appointment @ sK5_SY307 ) )
= $false )
| ( ( ~ ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[86]) ).
thf(97,plain,
! [SV22: $i,SV19: $i,SV10: $i] :
( ( ( ~ ( ~ ( wife @ peter @ SV10 @ SV19 )
| ~ ( wife @ peter @ SV19 @ SV22 ) ) )
= $false )
| ( ( wife @ peter @ SV10 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(98,plain,
! [SV23: $i,SV20: $i,SV11: $i] :
( ( ( ~ ( ~ ( peter @ SV11 @ SV20 )
| ~ ( peter @ SV20 @ SV23 ) ) )
= $false )
| ( ( peter @ SV11 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(99,plain,
! [SV24: $i,SV21: $i,SV12: $i] :
( ( ( ~ ( ~ ( john @ SV12 @ SV21 )
| ~ ( john @ SV21 @ SV24 ) ) )
= $false )
| ( ( john @ SV12 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(100,plain,
! [SV13: $i > $o,SV4: $i] :
( ( ( ~ ( peter @ SV4 @ ( sK3_SY294 @ SV13 @ SV4 ) ) )
= $false )
| ( ( ! [SY296: $i] :
( ~ ( john @ SV4 @ SY296 )
| ! [SY297: $i] :
( ~ ( peter @ SY296 @ SY297 )
| ( SV13 @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(101,plain,
! [SV4: $i,SV13: $i > $o] :
( ( ( ! [SY308: $i] :
( ~ ( john @ ( sK3_SY294 @ SV13 @ SV4 ) @ SY308 )
| ( SV13 @ SY308 ) ) )
= $false )
| ( ( ! [SY296: $i] :
( ~ ( john @ SV4 @ SY296 )
| ! [SY297: $i] :
( ~ ( peter @ SY296 @ SY297 )
| ( SV13 @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(102,plain,
! [SV14: $i > $o,SV5: $i] :
( ( ( ~ ( wife @ peter @ SV5 @ ( sK4_SY298 @ SV14 @ SV5 ) ) )
= $false )
| ( ( ! [SY299: $i] :
( ~ ( peter @ SV5 @ SY299 )
| ( SV14 @ SY299 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(103,plain,
! [SV5: $i,SV14: $i > $o] :
( ( ( SV14 @ ( sK4_SY298 @ SV14 @ SV5 ) )
= $false )
| ( ( ! [SY299: $i] :
( ~ ( peter @ SV5 @ SY299 )
| ( SV14 @ SY299 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(104,plain,
! [SV7: $i,SV25: $i,SV16: $i] :
( ( ( ~ ( john @ SV16 @ SV25 ) )
= $true )
| ( ( place @ SV25 )
= $true )
| ( ( peter @ SV7 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(105,plain,
! [SV8: $i,SV17: $i] :
( ( ( ! [SY301: $i] :
( ~ ( peter @ SV17 @ SY301 )
| ( time @ SY301 ) ) )
= $false )
| ( ( ! [SY302: $i] :
( ~ ( john @ SV17 @ SY302 )
| ( time @ SY302 ) ) )
= $true )
| ( ( wife @ peter @ SV8 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(106,plain,
! [SV9: $i,SV26: $i,SV18: $i] :
( ( ( ~ ( john @ SV18 @ SV26 ) )
= $true )
| ( ( ~ ~ ( ~ ( place @ SV26 )
| ~ ( time @ SV26 ) )
| ( appointment @ SV26 ) )
= $true )
| ( ( peter @ SV9 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(107,plain,
( ( ( ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $false )
| ( ( peter @ sK1_SY42 @ sK2_SY268 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(108,plain,
( ( ( ~ ( john @ sK2_SY268 @ sK5_SY307 ) )
= $false )
| ( ( ~ ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(109,plain,
( ( ( appointment @ sK5_SY307 )
= $false )
| ( ( ~ ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(110,plain,
! [SV22: $i,SV19: $i,SV10: $i] :
( ( ( ~ ( wife @ peter @ SV10 @ SV19 )
| ~ ( wife @ peter @ SV19 @ SV22 ) )
= $true )
| ( ( wife @ peter @ SV10 @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(111,plain,
! [SV23: $i,SV20: $i,SV11: $i] :
( ( ( ~ ( peter @ SV11 @ SV20 )
| ~ ( peter @ SV20 @ SV23 ) )
= $true )
| ( ( peter @ SV11 @ SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(112,plain,
! [SV24: $i,SV21: $i,SV12: $i] :
( ( ( ~ ( john @ SV12 @ SV21 )
| ~ ( john @ SV21 @ SV24 ) )
= $true )
| ( ( john @ SV12 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(113,plain,
! [SV13: $i > $o,SV4: $i] :
( ( ( peter @ SV4 @ ( sK3_SY294 @ SV13 @ SV4 ) )
= $true )
| ( ( ! [SY296: $i] :
( ~ ( john @ SV4 @ SY296 )
| ! [SY297: $i] :
( ~ ( peter @ SY296 @ SY297 )
| ( SV13 @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(114,plain,
! [SV4: $i,SV13: $i > $o] :
( ( ( ~ ( john @ ( sK3_SY294 @ SV13 @ SV4 ) @ ( sK6_SY308 @ SV4 @ SV13 ) )
| ( SV13 @ ( sK6_SY308 @ SV4 @ SV13 ) ) )
= $false )
| ( ( ! [SY296: $i] :
( ~ ( john @ SV4 @ SY296 )
| ! [SY297: $i] :
( ~ ( peter @ SY296 @ SY297 )
| ( SV13 @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[101]) ).
thf(115,plain,
! [SV14: $i > $o,SV5: $i] :
( ( ( wife @ peter @ SV5 @ ( sK4_SY298 @ SV14 @ SV5 ) )
= $true )
| ( ( ! [SY299: $i] :
( ~ ( peter @ SV5 @ SY299 )
| ( SV14 @ SY299 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(116,plain,
! [SV14: $i > $o,SV27: $i,SV5: $i] :
( ( ( ~ ( peter @ SV5 @ SV27 )
| ( SV14 @ SV27 ) )
= $true )
| ( ( SV14 @ ( sK4_SY298 @ SV14 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(117,plain,
! [SV7: $i,SV25: $i,SV16: $i] :
( ( ( john @ SV16 @ SV25 )
= $false )
| ( ( place @ SV25 )
= $true )
| ( ( peter @ SV7 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV8: $i,SV17: $i] :
( ( ( ~ ( peter @ SV17 @ ( sK7_SY301 @ SV8 @ SV17 ) )
| ( time @ ( sK7_SY301 @ SV8 @ SV17 ) ) )
= $false )
| ( ( ! [SY302: $i] :
( ~ ( john @ SV17 @ SY302 )
| ( time @ SY302 ) ) )
= $true )
| ( ( wife @ peter @ SV8 @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[105]) ).
thf(119,plain,
! [SV9: $i,SV26: $i,SV18: $i] :
( ( ( john @ SV18 @ SV26 )
= $false )
| ( ( ~ ~ ( ~ ( place @ SV26 )
| ~ ( time @ SV26 ) )
| ( appointment @ SV26 ) )
= $true )
| ( ( peter @ SV9 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(120,plain,
( ( ( ~ ( john @ sK1_SY42 @ sK8_SY270 )
| ! [SY309: $i] :
( ~ ( peter @ sK8_SY270 @ SY309 )
| ( appointment @ SY309 ) ) )
= $false )
| ( ( peter @ sK1_SY42 @ sK2_SY268 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[107]) ).
thf(121,plain,
( ( ( john @ sK2_SY268 @ sK5_SY307 )
= $true )
| ( ( ~ ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(122,plain,
( ( ( ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $false )
| ( ( appointment @ sK5_SY307 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(123,plain,
! [SV22: $i,SV19: $i,SV10: $i] :
( ( ( ~ ( wife @ peter @ SV10 @ SV19 ) )
= $true )
| ( ( ~ ( wife @ peter @ SV19 @ SV22 ) )
= $true )
| ( ( wife @ peter @ SV10 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(124,plain,
! [SV23: $i,SV20: $i,SV11: $i] :
( ( ( ~ ( peter @ SV11 @ SV20 ) )
= $true )
| ( ( ~ ( peter @ SV20 @ SV23 ) )
= $true )
| ( ( peter @ SV11 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(125,plain,
! [SV24: $i,SV21: $i,SV12: $i] :
( ( ( ~ ( john @ SV12 @ SV21 ) )
= $true )
| ( ( ~ ( john @ SV21 @ SV24 ) )
= $true )
| ( ( john @ SV12 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(126,plain,
! [SV13: $i > $o,SV28: $i,SV4: $i] :
( ( ( ~ ( john @ SV4 @ SV28 )
| ! [SY310: $i] :
( ~ ( peter @ SV28 @ SY310 )
| ( SV13 @ SY310 ) ) )
= $true )
| ( ( peter @ SV4 @ ( sK3_SY294 @ SV13 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(127,plain,
! [SV4: $i,SV13: $i > $o] :
( ( ( ~ ( john @ ( sK3_SY294 @ SV13 @ SV4 ) @ ( sK6_SY308 @ SV4 @ SV13 ) ) )
= $false )
| ( ( ! [SY296: $i] :
( ~ ( john @ SV4 @ SY296 )
| ! [SY297: $i] :
( ~ ( peter @ SY296 @ SY297 )
| ( SV13 @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(128,plain,
! [SV4: $i,SV13: $i > $o] :
( ( ( SV13 @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $false )
| ( ( ! [SY296: $i] :
( ~ ( john @ SV4 @ SY296 )
| ! [SY297: $i] :
( ~ ( peter @ SY296 @ SY297 )
| ( SV13 @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(129,plain,
! [SV14: $i > $o,SV29: $i,SV5: $i] :
( ( ( ~ ( peter @ SV5 @ SV29 )
| ( SV14 @ SV29 ) )
= $true )
| ( ( wife @ peter @ SV5 @ ( sK4_SY298 @ SV14 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(130,plain,
! [SV14: $i > $o,SV27: $i,SV5: $i] :
( ( ( ~ ( peter @ SV5 @ SV27 ) )
= $true )
| ( ( SV14 @ SV27 )
= $true )
| ( ( SV14 @ ( sK4_SY298 @ SV14 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(131,plain,
! [SV8: $i,SV17: $i] :
( ( ( ~ ( peter @ SV17 @ ( sK7_SY301 @ SV8 @ SV17 ) ) )
= $false )
| ( ( ! [SY302: $i] :
( ~ ( john @ SV17 @ SY302 )
| ( time @ SY302 ) ) )
= $true )
| ( ( wife @ peter @ SV8 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[118]) ).
thf(132,plain,
! [SV17: $i,SV8: $i] :
( ( ( time @ ( sK7_SY301 @ SV8 @ SV17 ) )
= $false )
| ( ( ! [SY302: $i] :
( ~ ( john @ SV17 @ SY302 )
| ( time @ SY302 ) ) )
= $true )
| ( ( wife @ peter @ SV8 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[118]) ).
thf(133,plain,
! [SV9: $i,SV18: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( place @ SV26 )
| ~ ( time @ SV26 ) ) )
= $true )
| ( ( appointment @ SV26 )
= $true )
| ( ( john @ SV18 @ SV26 )
= $false )
| ( ( peter @ SV9 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(134,plain,
( ( ( ~ ( john @ sK1_SY42 @ sK8_SY270 ) )
= $false )
| ( ( peter @ sK1_SY42 @ sK2_SY268 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(135,plain,
( ( ( ! [SY309: $i] :
( ~ ( peter @ sK8_SY270 @ SY309 )
| ( appointment @ SY309 ) ) )
= $false )
| ( ( peter @ sK1_SY42 @ sK2_SY268 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(136,plain,
( ( ( ! [SY270: $i] :
( ~ ( john @ sK1_SY42 @ SY270 )
| ! [SY36: $i] :
( ~ ( peter @ SY270 @ SY36 )
| ( appointment @ SY36 ) ) ) )
= $false )
| ( ( john @ sK2_SY268 @ sK5_SY307 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(137,plain,
( ( ( ~ ( john @ sK1_SY42 @ sK9_SY270 )
| ! [SY311: $i] :
( ~ ( peter @ sK9_SY270 @ SY311 )
| ( appointment @ SY311 ) ) )
= $false )
| ( ( appointment @ sK5_SY307 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[122]) ).
thf(138,plain,
! [SV22: $i,SV19: $i,SV10: $i] :
( ( ( wife @ peter @ SV10 @ SV19 )
= $false )
| ( ( ~ ( wife @ peter @ SV19 @ SV22 ) )
= $true )
| ( ( wife @ peter @ SV10 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(139,plain,
! [SV23: $i,SV20: $i,SV11: $i] :
( ( ( peter @ SV11 @ SV20 )
= $false )
| ( ( ~ ( peter @ SV20 @ SV23 ) )
= $true )
| ( ( peter @ SV11 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(140,plain,
! [SV24: $i,SV21: $i,SV12: $i] :
( ( ( john @ SV12 @ SV21 )
= $false )
| ( ( ~ ( john @ SV21 @ SV24 ) )
= $true )
| ( ( john @ SV12 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(141,plain,
! [SV13: $i > $o,SV28: $i,SV4: $i] :
( ( ( ~ ( john @ SV4 @ SV28 ) )
= $true )
| ( ( ! [SY310: $i] :
( ~ ( peter @ SV28 @ SY310 )
| ( SV13 @ SY310 ) ) )
= $true )
| ( ( peter @ SV4 @ ( sK3_SY294 @ SV13 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(142,plain,
! [SV4: $i,SV13: $i > $o] :
( ( ( john @ ( sK3_SY294 @ SV13 @ SV4 ) @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $true )
| ( ( ! [SY296: $i] :
( ~ ( john @ SV4 @ SY296 )
| ! [SY297: $i] :
( ~ ( peter @ SY296 @ SY297 )
| ( SV13 @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(143,plain,
! [SV13: $i > $o,SV30: $i,SV4: $i] :
( ( ( ~ ( john @ SV4 @ SV30 )
| ! [SY312: $i] :
( ~ ( peter @ SV30 @ SY312 )
| ( SV13 @ SY312 ) ) )
= $true )
| ( ( SV13 @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(144,plain,
! [SV14: $i > $o,SV29: $i,SV5: $i] :
( ( ( ~ ( peter @ SV5 @ SV29 ) )
= $true )
| ( ( SV14 @ SV29 )
= $true )
| ( ( wife @ peter @ SV5 @ ( sK4_SY298 @ SV14 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(145,plain,
! [SV14: $i > $o,SV27: $i,SV5: $i] :
( ( ( peter @ SV5 @ SV27 )
= $false )
| ( ( SV14 @ SV27 )
= $true )
| ( ( SV14 @ ( sK4_SY298 @ SV14 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(146,plain,
! [SV8: $i,SV17: $i] :
( ( ( peter @ SV17 @ ( sK7_SY301 @ SV8 @ SV17 ) )
= $true )
| ( ( ! [SY302: $i] :
( ~ ( john @ SV17 @ SY302 )
| ( time @ SY302 ) ) )
= $true )
| ( ( wife @ peter @ SV8 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(147,plain,
! [SV8: $i,SV31: $i,SV17: $i] :
( ( ( ~ ( john @ SV17 @ SV31 )
| ( time @ SV31 ) )
= $true )
| ( ( time @ ( sK7_SY301 @ SV8 @ SV17 ) )
= $false )
| ( ( wife @ peter @ SV8 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(148,plain,
! [SV9: $i,SV18: $i,SV26: $i] :
( ( ( ~ ( ~ ( place @ SV26 )
| ~ ( time @ SV26 ) ) )
= $false )
| ( ( appointment @ SV26 )
= $true )
| ( ( john @ SV18 @ SV26 )
= $false )
| ( ( peter @ SV9 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(149,plain,
( ( ( john @ sK1_SY42 @ sK8_SY270 )
= $true )
| ( ( peter @ sK1_SY42 @ sK2_SY268 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(150,plain,
( ( ( ~ ( peter @ sK8_SY270 @ sK10_SY309 )
| ( appointment @ sK10_SY309 ) )
= $false )
| ( ( peter @ sK1_SY42 @ sK2_SY268 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[135]) ).
thf(151,plain,
( ( ( ~ ( john @ sK1_SY42 @ sK11_SY270 )
| ! [SY313: $i] :
( ~ ( peter @ sK11_SY270 @ SY313 )
| ( appointment @ SY313 ) ) )
= $false )
| ( ( john @ sK2_SY268 @ sK5_SY307 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[136]) ).
thf(152,plain,
( ( ( ~ ( john @ sK1_SY42 @ sK9_SY270 ) )
= $false )
| ( ( appointment @ sK5_SY307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(153,plain,
( ( ( ! [SY311: $i] :
( ~ ( peter @ sK9_SY270 @ SY311 )
| ( appointment @ SY311 ) ) )
= $false )
| ( ( appointment @ sK5_SY307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(154,plain,
! [SV10: $i,SV22: $i,SV19: $i] :
( ( ( wife @ peter @ SV19 @ SV22 )
= $false )
| ( ( wife @ peter @ SV10 @ SV19 )
= $false )
| ( ( wife @ peter @ SV10 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(155,plain,
! [SV11: $i,SV23: $i,SV20: $i] :
( ( ( peter @ SV20 @ SV23 )
= $false )
| ( ( peter @ SV11 @ SV20 )
= $false )
| ( ( peter @ SV11 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(156,plain,
! [SV12: $i,SV24: $i,SV21: $i] :
( ( ( john @ SV21 @ SV24 )
= $false )
| ( ( john @ SV12 @ SV21 )
= $false )
| ( ( john @ SV12 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(157,plain,
! [SV13: $i > $o,SV28: $i,SV4: $i] :
( ( ( john @ SV4 @ SV28 )
= $false )
| ( ( ! [SY310: $i] :
( ~ ( peter @ SV28 @ SY310 )
| ( SV13 @ SY310 ) ) )
= $true )
| ( ( peter @ SV4 @ ( sK3_SY294 @ SV13 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(158,plain,
! [SV13: $i > $o,SV32: $i,SV4: $i] :
( ( ( ~ ( john @ SV4 @ SV32 )
| ! [SY314: $i] :
( ~ ( peter @ SV32 @ SY314 )
| ( SV13 @ SY314 ) ) )
= $true )
| ( ( john @ ( sK3_SY294 @ SV13 @ SV4 ) @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(159,plain,
! [SV13: $i > $o,SV30: $i,SV4: $i] :
( ( ( ~ ( john @ SV4 @ SV30 ) )
= $true )
| ( ( ! [SY312: $i] :
( ~ ( peter @ SV30 @ SY312 )
| ( SV13 @ SY312 ) ) )
= $true )
| ( ( SV13 @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(160,plain,
! [SV14: $i > $o,SV29: $i,SV5: $i] :
( ( ( peter @ SV5 @ SV29 )
= $false )
| ( ( SV14 @ SV29 )
= $true )
| ( ( wife @ peter @ SV5 @ ( sK4_SY298 @ SV14 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(161,plain,
! [SV8: $i,SV33: $i,SV17: $i] :
( ( ( ~ ( john @ SV17 @ SV33 )
| ( time @ SV33 ) )
= $true )
| ( ( peter @ SV17 @ ( sK7_SY301 @ SV8 @ SV17 ) )
= $true )
| ( ( wife @ peter @ SV8 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(162,plain,
! [SV8: $i,SV31: $i,SV17: $i] :
( ( ( ~ ( john @ SV17 @ SV31 ) )
= $true )
| ( ( time @ SV31 )
= $true )
| ( ( time @ ( sK7_SY301 @ SV8 @ SV17 ) )
= $false )
| ( ( wife @ peter @ SV8 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(163,plain,
! [SV9: $i,SV18: $i,SV26: $i] :
( ( ( ~ ( place @ SV26 )
| ~ ( time @ SV26 ) )
= $true )
| ( ( appointment @ SV26 )
= $true )
| ( ( john @ SV18 @ SV26 )
= $false )
| ( ( peter @ SV9 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(164,plain,
( ( ( ~ ( peter @ sK8_SY270 @ sK10_SY309 ) )
= $false )
| ( ( peter @ sK1_SY42 @ sK2_SY268 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(165,plain,
( ( ( appointment @ sK10_SY309 )
= $false )
| ( ( peter @ sK1_SY42 @ sK2_SY268 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(166,plain,
( ( ( ~ ( john @ sK1_SY42 @ sK11_SY270 ) )
= $false )
| ( ( john @ sK2_SY268 @ sK5_SY307 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(167,plain,
( ( ( ! [SY313: $i] :
( ~ ( peter @ sK11_SY270 @ SY313 )
| ( appointment @ SY313 ) ) )
= $false )
| ( ( john @ sK2_SY268 @ sK5_SY307 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(168,plain,
( ( ( john @ sK1_SY42 @ sK9_SY270 )
= $true )
| ( ( appointment @ sK5_SY307 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(169,plain,
( ( ( ~ ( peter @ sK9_SY270 @ sK12_SY311 )
| ( appointment @ sK12_SY311 ) )
= $false )
| ( ( appointment @ sK5_SY307 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[153]) ).
thf(170,plain,
! [SV4: $i,SV13: $i > $o,SV34: $i,SV28: $i] :
( ( ( ~ ( peter @ SV28 @ SV34 )
| ( SV13 @ SV34 ) )
= $true )
| ( ( john @ SV4 @ SV28 )
= $false )
| ( ( peter @ SV4 @ ( sK3_SY294 @ SV13 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(171,plain,
! [SV13: $i > $o,SV32: $i,SV4: $i] :
( ( ( ~ ( john @ SV4 @ SV32 ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( peter @ SV32 @ SY314 )
| ( SV13 @ SY314 ) ) )
= $true )
| ( ( john @ ( sK3_SY294 @ SV13 @ SV4 ) @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(172,plain,
! [SV13: $i > $o,SV30: $i,SV4: $i] :
( ( ( john @ SV4 @ SV30 )
= $false )
| ( ( ! [SY312: $i] :
( ~ ( peter @ SV30 @ SY312 )
| ( SV13 @ SY312 ) ) )
= $true )
| ( ( SV13 @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(173,plain,
! [SV8: $i,SV33: $i,SV17: $i] :
( ( ( ~ ( john @ SV17 @ SV33 ) )
= $true )
| ( ( time @ SV33 )
= $true )
| ( ( peter @ SV17 @ ( sK7_SY301 @ SV8 @ SV17 ) )
= $true )
| ( ( wife @ peter @ SV8 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(174,plain,
! [SV8: $i,SV31: $i,SV17: $i] :
( ( ( john @ SV17 @ SV31 )
= $false )
| ( ( time @ SV31 )
= $true )
| ( ( time @ ( sK7_SY301 @ SV8 @ SV17 ) )
= $false )
| ( ( wife @ peter @ SV8 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(175,plain,
! [SV9: $i,SV18: $i,SV26: $i] :
( ( ( ~ ( place @ SV26 ) )
= $true )
| ( ( ~ ( time @ SV26 ) )
= $true )
| ( ( appointment @ SV26 )
= $true )
| ( ( john @ SV18 @ SV26 )
= $false )
| ( ( peter @ SV9 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(176,plain,
( ( ( peter @ sK8_SY270 @ sK10_SY309 )
= $true )
| ( ( peter @ sK1_SY42 @ sK2_SY268 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(177,plain,
( ( ( john @ sK1_SY42 @ sK11_SY270 )
= $true )
| ( ( john @ sK2_SY268 @ sK5_SY307 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(178,plain,
( ( ( ~ ( peter @ sK11_SY270 @ sK13_SY313 )
| ( appointment @ sK13_SY313 ) )
= $false )
| ( ( john @ sK2_SY268 @ sK5_SY307 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[167]) ).
thf(179,plain,
( ( ( ~ ( peter @ sK9_SY270 @ sK12_SY311 ) )
= $false )
| ( ( appointment @ sK5_SY307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(180,plain,
( ( ( appointment @ sK12_SY311 )
= $false )
| ( ( appointment @ sK5_SY307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(181,plain,
! [SV4: $i,SV13: $i > $o,SV34: $i,SV28: $i] :
( ( ( ~ ( peter @ SV28 @ SV34 ) )
= $true )
| ( ( SV13 @ SV34 )
= $true )
| ( ( john @ SV4 @ SV28 )
= $false )
| ( ( peter @ SV4 @ ( sK3_SY294 @ SV13 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(182,plain,
! [SV13: $i > $o,SV32: $i,SV4: $i] :
( ( ( john @ SV4 @ SV32 )
= $false )
| ( ( ! [SY314: $i] :
( ~ ( peter @ SV32 @ SY314 )
| ( SV13 @ SY314 ) ) )
= $true )
| ( ( john @ ( sK3_SY294 @ SV13 @ SV4 ) @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(183,plain,
! [SV4: $i,SV13: $i > $o,SV35: $i,SV30: $i] :
( ( ( ~ ( peter @ SV30 @ SV35 )
| ( SV13 @ SV35 ) )
= $true )
| ( ( john @ SV4 @ SV30 )
= $false )
| ( ( SV13 @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(184,plain,
! [SV8: $i,SV33: $i,SV17: $i] :
( ( ( john @ SV17 @ SV33 )
= $false )
| ( ( time @ SV33 )
= $true )
| ( ( peter @ SV17 @ ( sK7_SY301 @ SV8 @ SV17 ) )
= $true )
| ( ( wife @ peter @ SV8 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(185,plain,
! [SV9: $i,SV18: $i,SV26: $i] :
( ( ( place @ SV26 )
= $false )
| ( ( ~ ( time @ SV26 ) )
= $true )
| ( ( appointment @ SV26 )
= $true )
| ( ( john @ SV18 @ SV26 )
= $false )
| ( ( peter @ SV9 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(186,plain,
( ( ( ~ ( peter @ sK11_SY270 @ sK13_SY313 ) )
= $false )
| ( ( john @ sK2_SY268 @ sK5_SY307 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(187,plain,
( ( ( appointment @ sK13_SY313 )
= $false )
| ( ( john @ sK2_SY268 @ sK5_SY307 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(188,plain,
( ( ( peter @ sK9_SY270 @ sK12_SY311 )
= $true )
| ( ( appointment @ sK5_SY307 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(189,plain,
! [SV4: $i,SV13: $i > $o,SV34: $i,SV28: $i] :
( ( ( peter @ SV28 @ SV34 )
= $false )
| ( ( SV13 @ SV34 )
= $true )
| ( ( john @ SV4 @ SV28 )
= $false )
| ( ( peter @ SV4 @ ( sK3_SY294 @ SV13 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(190,plain,
! [SV4: $i,SV13: $i > $o,SV36: $i,SV32: $i] :
( ( ( ~ ( peter @ SV32 @ SV36 )
| ( SV13 @ SV36 ) )
= $true )
| ( ( john @ SV4 @ SV32 )
= $false )
| ( ( john @ ( sK3_SY294 @ SV13 @ SV4 ) @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(191,plain,
! [SV4: $i,SV13: $i > $o,SV35: $i,SV30: $i] :
( ( ( ~ ( peter @ SV30 @ SV35 ) )
= $true )
| ( ( SV13 @ SV35 )
= $true )
| ( ( john @ SV4 @ SV30 )
= $false )
| ( ( SV13 @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(192,plain,
! [SV9: $i,SV18: $i,SV26: $i] :
( ( ( time @ SV26 )
= $false )
| ( ( place @ SV26 )
= $false )
| ( ( appointment @ SV26 )
= $true )
| ( ( john @ SV18 @ SV26 )
= $false )
| ( ( peter @ SV9 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(193,plain,
( ( ( peter @ sK11_SY270 @ sK13_SY313 )
= $true )
| ( ( john @ sK2_SY268 @ sK5_SY307 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(194,plain,
! [SV4: $i,SV13: $i > $o,SV36: $i,SV32: $i] :
( ( ( ~ ( peter @ SV32 @ SV36 ) )
= $true )
| ( ( SV13 @ SV36 )
= $true )
| ( ( john @ SV4 @ SV32 )
= $false )
| ( ( john @ ( sK3_SY294 @ SV13 @ SV4 ) @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(195,plain,
! [SV4: $i,SV13: $i > $o,SV35: $i,SV30: $i] :
( ( ( peter @ SV30 @ SV35 )
= $false )
| ( ( SV13 @ SV35 )
= $true )
| ( ( john @ SV4 @ SV30 )
= $false )
| ( ( SV13 @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(196,plain,
! [SV4: $i,SV13: $i > $o,SV36: $i,SV32: $i] :
( ( ( peter @ SV32 @ SV36 )
= $false )
| ( ( SV13 @ SV36 )
= $true )
| ( ( john @ SV4 @ SV32 )
= $false )
| ( ( john @ ( sK3_SY294 @ SV13 @ SV4 ) @ ( sK6_SY308 @ SV4 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(197,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[46,196,195,193,192,189,188,187,184,180,177,176,174,168,165,160,156,155,154,149,145,117,81,48,47]) ).
thf(198,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ086^1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.18 % Computer : n003.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Oct 6 14:01:39 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.29
% 0.10/0.29 No.of.Axioms: 12
% 0.10/0.29
% 0.10/0.29 Length.of.Defs: 5324
% 0.10/0.29
% 0.10/0.29 Contains.Choice.Funs: false
% 0.10/0.29 .......
% 0.10/0.29
% 0.10/0.29 ********************************
% 0.10/0.29 * All subproblems solved! *
% 0.10/0.29 ********************************
% 0.10/0.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:12,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:197,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.10/0.29
% 0.10/0.29 %**** Beginning of derivation protocol ****
% 0.10/0.29 % SZS output start CNFRefutation
% See solution above
% 0.87/0.29
% 0.87/0.29 %**** End of derivation protocol ****
% 0.87/0.29 %**** no. of clauses in derivation: 198 ****
% 0.87/0.29 %**** clause counter: 197 ****
% 0.87/0.29
% 0.87/0.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:12,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:197,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------