TSTP Solution File: AGT028^2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : AGT028^2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n026.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 : Thu Jul 14 12:01:27 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 118
% Syntax : Number of formulae : 423 ( 145 unt; 65 typ; 31 def)
% Number of atoms : 2844 ( 701 equ; 0 cnn)
% Maximal formula atoms : 11 ( 7 avg)
% Number of connectives : 4460 ( 698 ~; 775 |; 8 &;2971 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 239 ( 239 >; 0 *; 0 +; 0 <<)
% Number of symbols : 67 ( 64 usr; 7 con; 0-3 aty)
% Number of variables : 1157 ( 87 ^1064 !; 6 ?;1157 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mu,type,
mu: $tType ).
thf(tp_good_in_maths,type,
good_in_maths: mu > $i > $o ).
thf(tp_good_in_physics,type,
good_in_physics: mu > $i > $o ).
thf(tp_john,type,
john: mu ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mathematician,type,
mathematician: mu > $i > $o ).
thf(tp_maths_student,type,
maths_student: mu > $i > $o ).
thf(tp_maths_teacher,type,
maths_teacher: mu > $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_mike,type,
mike: mu ).
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: mu ).
thf(tp_physics_student,type,
physics_student: mu > $i > $o ).
thf(tp_r1,type,
r1: $i > $i > $o ).
thf(tp_r2,type,
r2: $i > $i > $o ).
thf(tp_r3,type,
r3: $i > $i > $o ).
thf(tp_r4,type,
r4: $i > $i > $o ).
thf(tp_r5,type,
r5: $i > $i > $o ).
thf(tp_sK10_SY104,type,
sK10_SY104: $i > mu > $i > $i ).
thf(tp_sK11_SY105,type,
sK11_SY105: $i > mu > $i > $i ).
thf(tp_sK12_SY106,type,
sK12_SY106: $i > mu > $i > $i ).
thf(tp_sK13_SY107,type,
sK13_SY107: $i > mu > $i > $i ).
thf(tp_sK14_SY110,type,
sK14_SY110: $i > mu > $i > $i ).
thf(tp_sK15_SY111,type,
sK15_SY111: $i > mu > $i > $i ).
thf(tp_sK16_SY112,type,
sK16_SY112: $i > mu > $i > $i ).
thf(tp_sK17_SY117,type,
sK17_SY117: $i > mu > $i > $i ).
thf(tp_sK18_SY118,type,
sK18_SY118: $i > mu > $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY119,type,
sK2_SY119: mu > $i ).
thf(tp_sK3_SY98,type,
sK3_SY98: $i > mu > $i > $i ).
thf(tp_sK4_SY102,type,
sK4_SY102: $i > mu > $i > $i ).
thf(tp_sK5_SY108,type,
sK5_SY108: $i > mu > $i > $i ).
thf(tp_sK6_SY113,type,
sK6_SY113: $i > mu > $i > $i ).
thf(tp_sK7_SY115,type,
sK7_SY115: $i > mu > $i > $i ).
thf(tp_sK8_SY100,type,
sK8_SY100: $i > mu > $i > $i ).
thf(tp_sK9_SY101,type,
sK9_SY101: $i > mu > $i > $i ).
thf(tp_tom,type,
tom: mu ).
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,axiom,
mvalid @ ( mbox @ r5 @ ( physics_student @ mike ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a9) ).
thf(2,axiom,
mvalid @ ( mbox @ r5 @ ( maths_student @ peter ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a8) ).
thf(3,axiom,
mvalid @ ( mbox @ r2 @ ( mathematician @ tom ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a7) ).
thf(4,axiom,
mvalid @ ( maths_teacher @ john ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a6) ).
thf(5,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r2 @ ( mimplies @ ( good_in_physics @ X ) @ ( mdia @ r2 @ ( good_in_maths @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r5) ).
thf(6,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r5 @ ( good_in_physics @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r4_5) ).
thf(7,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r4 @ ( good_in_physics @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r4_4) ).
thf(8,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r3 @ ( good_in_physics @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r4_3) ).
thf(9,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r2 @ ( good_in_physics @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r4_2) ).
thf(10,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r1 @ ( good_in_physics @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r4_1) ).
thf(11,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r5 @ ( good_in_maths @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r3_5) ).
thf(12,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r4 @ ( good_in_maths @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r3_4) ).
thf(13,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r3 @ ( good_in_maths @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r3_3) ).
thf(14,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r2 @ ( good_in_maths @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r3_2) ).
thf(15,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r1 @ ( good_in_maths @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r3_1) ).
thf(16,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r5 @ ( mathematician @ X ) ) @ ( mbox @ r5 @ ( good_in_maths @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r2_5) ).
thf(17,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r4 @ ( mathematician @ X ) ) @ ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r2_4) ).
thf(18,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r3 @ ( mathematician @ X ) ) @ ( mbox @ r3 @ ( good_in_maths @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r2_3) ).
thf(19,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r2 @ ( mathematician @ X ) ) @ ( mbox @ r2 @ ( good_in_maths @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r2_2) ).
thf(20,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r1 @ ( mathematician @ X ) ) @ ( mbox @ r1 @ ( good_in_maths @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r2_1) ).
thf(21,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( maths_teacher @ X ) @ ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r1) ).
thf(22,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X: mu] : ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(23,negated_conjecture,
( ( mvalid
@ ( mexists_ind
@ ^ [X: mu] : ( mbox @ r4 @ ( good_in_maths @ X ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[22]) ).
thf(24,plain,
( ( ~ ( mvalid
@ ( mexists_ind
@ ^ [X: mu] : ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[23]) ).
thf(25,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( maths_teacher @ X ) @ ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(26,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r1 @ ( mathematician @ X ) ) @ ( mbox @ r1 @ ( good_in_maths @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(27,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r2 @ ( mathematician @ X ) ) @ ( mbox @ r2 @ ( good_in_maths @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(28,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r3 @ ( mathematician @ X ) ) @ ( mbox @ r3 @ ( good_in_maths @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(29,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r4 @ ( mathematician @ X ) ) @ ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(30,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r5 @ ( mathematician @ X ) ) @ ( mbox @ r5 @ ( good_in_maths @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(31,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r1 @ ( good_in_maths @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(32,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r2 @ ( good_in_maths @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(33,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r3 @ ( good_in_maths @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(34,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r4 @ ( good_in_maths @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(35,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r5 @ ( good_in_maths @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(36,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r1 @ ( good_in_physics @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(37,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r2 @ ( good_in_physics @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(38,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r3 @ ( good_in_physics @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(39,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r4 @ ( good_in_physics @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(40,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r5 @ ( good_in_physics @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(41,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ r2 @ ( mimplies @ ( good_in_physics @ X ) @ ( mdia @ r2 @ ( good_in_maths @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(42,plain,
( ( mvalid @ ( maths_teacher @ john ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(43,plain,
( ( mvalid @ ( mbox @ r2 @ ( mathematician @ tom ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(44,plain,
( ( mvalid @ ( mbox @ r5 @ ( maths_student @ peter ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(45,plain,
( ( mvalid @ ( mbox @ r5 @ ( physics_student @ mike ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(46,plain,
( ( ~ ( mvalid
@ ( mexists_ind
@ ^ [X: mu] : ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(47,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r2 @ SX0 @ SX1 )
| ( mathematician @ tom @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43,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(48,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r5 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r4 @ SX2 @ SX3 )
| ( mathematician @ SX1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r4 @ SX2 @ SX3 )
| ( good_in_maths @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29,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(49,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( maths_student @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r5 @ SX2 @ SX3 )
| ~ ( good_in_maths @ SX1 @ SX3 ) ) ) )
= $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(50,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( physics_student @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r4 @ SX2 @ SX3 )
| ~ ( good_in_physics @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39,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(51,plain,
( ( ~ ! [SX0: $i] :
~ ! [SX1: mu] :
~ ! [SX2: $i] :
( ~ ( r4 @ SX0 @ SX2 )
| ( good_in_maths @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46,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(52,plain,
( ( ! [SX0: $i] : ( maths_teacher @ john @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[42,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(53,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r5 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( mathematician @ SX1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( good_in_maths @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26,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(54,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ( good_in_physics @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ~ ( good_in_maths @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41,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(55,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( physics_student @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( good_in_physics @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36,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(56,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( physics_student @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ~ ( good_in_physics @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37,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(57,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( maths_student @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ~ ( good_in_maths @ SX1 @ SX3 ) ) ) )
= $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(58,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r5 @ SX0 @ SX1 )
| ( maths_student @ peter @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44,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(59,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r5 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( mathematician @ SX1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( good_in_maths @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28,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(60,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r5 @ SX0 @ SX1 )
| ( physics_student @ mike @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45,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(61,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( maths_student @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r4 @ SX2 @ SX3 )
| ~ ( good_in_maths @ SX1 @ SX3 ) ) ) )
= $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(62,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( maths_student @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( good_in_maths @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31,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(63,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( physics_student @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ~ ( good_in_physics @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38,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(64,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r5 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( mathematician @ SX1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( good_in_maths @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27,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(65,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r5 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r5 @ SX2 @ SX3 )
| ( mathematician @ SX1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r5 @ SX2 @ SX3 )
| ( good_in_maths @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30,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(66,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( physics_student @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r5 @ SX2 @ SX3 )
| ~ ( good_in_physics @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40,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(67,plain,
( ( ! [SX0: $i,SX1: mu] :
( ~ ( maths_teacher @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( r4 @ SX0 @ SX2 )
| ( good_in_maths @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25,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(68,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( maths_student @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ~ ( good_in_maths @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32,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(69,plain,
! [SV1: $i] :
( ( ! [SY0: $i] :
( ~ ( r2 @ SV1 @ SY0 )
| ( mathematician @ tom @ SY0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(70,plain,
! [SV2: $i] :
( ( ! [SY1: mu,SY2: $i] :
( ~ ( r5 @ SV2 @ SY2 )
| ~ ! [SX3: $i] :
( ~ ( r4 @ SY2 @ SX3 )
| ( mathematician @ SY1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r4 @ SY2 @ SX3 )
| ( good_in_maths @ SY1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(71,plain,
! [SV3: $i] :
( ( ! [SY5: mu,SY6: $i] :
( ~ ( r3 @ SV3 @ SY6 )
| ~ ( maths_student @ SY5 @ SY6 )
| ~ ! [SX3: $i] :
( ~ ( r5 @ SY6 @ SX3 )
| ~ ( good_in_maths @ SY5 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(72,plain,
! [SV4: $i] :
( ( ! [SY8: mu,SY9: $i] :
( ~ ( r3 @ SV4 @ SY9 )
| ~ ( physics_student @ SY8 @ SY9 )
| ~ ! [SX3: $i] :
( ~ ( r4 @ SY9 @ SX3 )
| ~ ( good_in_physics @ SY8 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(73,plain,
( ( ! [SX0: $i] :
~ ! [SX1: mu] :
~ ! [SX2: $i] :
( ~ ( r4 @ SX0 @ SX2 )
| ( good_in_maths @ SX1 @ SX2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(74,plain,
! [SV5: $i] :
( ( maths_teacher @ john @ SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(75,plain,
! [SV6: $i] :
( ( ! [SY11: mu,SY12: $i] :
( ~ ( r5 @ SV6 @ SY12 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY12 @ SX3 )
| ( mathematician @ SY11 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r1 @ SY12 @ SX3 )
| ( good_in_maths @ SY11 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(76,plain,
! [SV7: $i] :
( ( ! [SY15: mu,SY16: $i] :
( ~ ( r2 @ SV7 @ SY16 )
| ~ ( good_in_physics @ SY15 @ SY16 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY16 @ SX3 )
| ~ ( good_in_maths @ SY15 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(77,plain,
! [SV8: $i] :
( ( ! [SY18: mu,SY19: $i] :
( ~ ( r3 @ SV8 @ SY19 )
| ~ ( physics_student @ SY18 @ SY19 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY19 @ SX3 )
| ~ ( good_in_physics @ SY18 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(78,plain,
! [SV9: $i] :
( ( ! [SY21: mu,SY22: $i] :
( ~ ( r3 @ SV9 @ SY22 )
| ~ ( physics_student @ SY21 @ SY22 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY22 @ SX3 )
| ~ ( good_in_physics @ SY21 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(79,plain,
! [SV10: $i] :
( ( ! [SY24: mu,SY25: $i] :
( ~ ( r3 @ SV10 @ SY25 )
| ~ ( maths_student @ SY24 @ SY25 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY25 @ SX3 )
| ~ ( good_in_maths @ SY24 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(80,plain,
! [SV11: $i] :
( ( ! [SY27: $i] :
( ~ ( r5 @ SV11 @ SY27 )
| ( maths_student @ peter @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(81,plain,
! [SV12: $i] :
( ( ! [SY28: mu,SY29: $i] :
( ~ ( r5 @ SV12 @ SY29 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY29 @ SX3 )
| ( mathematician @ SY28 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r3 @ SY29 @ SX3 )
| ( good_in_maths @ SY28 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(82,plain,
! [SV13: $i] :
( ( ! [SY32: $i] :
( ~ ( r5 @ SV13 @ SY32 )
| ( physics_student @ mike @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(83,plain,
! [SV14: $i] :
( ( ! [SY33: mu,SY34: $i] :
( ~ ( r3 @ SV14 @ SY34 )
| ~ ( maths_student @ SY33 @ SY34 )
| ~ ! [SX3: $i] :
( ~ ( r4 @ SY34 @ SX3 )
| ~ ( good_in_maths @ SY33 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(84,plain,
! [SV15: $i] :
( ( ! [SY36: mu,SY37: $i] :
( ~ ( r3 @ SV15 @ SY37 )
| ~ ( maths_student @ SY36 @ SY37 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY37 @ SX3 )
| ~ ( good_in_maths @ SY36 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(85,plain,
! [SV16: $i] :
( ( ! [SY39: mu,SY40: $i] :
( ~ ( r3 @ SV16 @ SY40 )
| ~ ( physics_student @ SY39 @ SY40 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY40 @ SX3 )
| ~ ( good_in_physics @ SY39 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(86,plain,
! [SV17: $i] :
( ( ! [SY42: mu,SY43: $i] :
( ~ ( r5 @ SV17 @ SY43 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY43 @ SX3 )
| ( mathematician @ SY42 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r2 @ SY43 @ SX3 )
| ( good_in_maths @ SY42 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(87,plain,
! [SV18: $i] :
( ( ! [SY46: mu,SY47: $i] :
( ~ ( r5 @ SV18 @ SY47 )
| ~ ! [SX3: $i] :
( ~ ( r5 @ SY47 @ SX3 )
| ( mathematician @ SY46 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r5 @ SY47 @ SX3 )
| ( good_in_maths @ SY46 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(88,plain,
! [SV19: $i] :
( ( ! [SY50: mu,SY51: $i] :
( ~ ( r3 @ SV19 @ SY51 )
| ~ ( physics_student @ SY50 @ SY51 )
| ~ ! [SX3: $i] :
( ~ ( r5 @ SY51 @ SX3 )
| ~ ( good_in_physics @ SY50 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(89,plain,
! [SV20: $i] :
( ( ! [SY53: mu] :
( ~ ( maths_teacher @ SY53 @ SV20 )
| ! [SY54: $i] :
( ~ ( r4 @ SV20 @ SY54 )
| ( good_in_maths @ SY53 @ SY54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(90,plain,
! [SV21: $i] :
( ( ! [SY55: mu,SY56: $i] :
( ~ ( r3 @ SV21 @ SY56 )
| ~ ( maths_student @ SY55 @ SY56 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY56 @ SX3 )
| ~ ( good_in_maths @ SY55 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(91,plain,
! [SV22: $i,SV1: $i] :
( ( ~ ( r2 @ SV1 @ SV22 )
| ( mathematician @ tom @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(92,plain,
! [SV23: mu,SV2: $i] :
( ( ! [SY58: $i] :
( ~ ( r5 @ SV2 @ SY58 )
| ~ ! [SY59: $i] :
( ~ ( r4 @ SY58 @ SY59 )
| ( mathematician @ SV23 @ SY59 ) )
| ! [SY60: $i] :
( ~ ( r4 @ SY58 @ SY60 )
| ( good_in_maths @ SV23 @ SY60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(93,plain,
! [SV24: mu,SV3: $i] :
( ( ! [SY61: $i] :
( ~ ( r3 @ SV3 @ SY61 )
| ~ ( maths_student @ SV24 @ SY61 )
| ~ ! [SY62: $i] :
( ~ ( r5 @ SY61 @ SY62 )
| ~ ( good_in_maths @ SV24 @ SY62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(94,plain,
! [SV25: mu,SV4: $i] :
( ( ! [SY63: $i] :
( ~ ( r3 @ SV4 @ SY63 )
| ~ ( physics_student @ SV25 @ SY63 )
| ~ ! [SY64: $i] :
( ~ ( r4 @ SY63 @ SY64 )
| ~ ( good_in_physics @ SV25 @ SY64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(95,plain,
( ( ~ ! [SY65: mu] :
~ ! [SY66: $i] :
( ~ ( r4 @ sK1_SX0 @ SY66 )
| ( good_in_maths @ SY65 @ SY66 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[73]) ).
thf(96,plain,
! [SV26: mu,SV6: $i] :
( ( ! [SY67: $i] :
( ~ ( r5 @ SV6 @ SY67 )
| ~ ! [SY68: $i] :
( ~ ( r1 @ SY67 @ SY68 )
| ( mathematician @ SV26 @ SY68 ) )
| ! [SY69: $i] :
( ~ ( r1 @ SY67 @ SY69 )
| ( good_in_maths @ SV26 @ SY69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(97,plain,
! [SV27: mu,SV7: $i] :
( ( ! [SY70: $i] :
( ~ ( r2 @ SV7 @ SY70 )
| ~ ( good_in_physics @ SV27 @ SY70 )
| ~ ! [SY71: $i] :
( ~ ( r2 @ SY70 @ SY71 )
| ~ ( good_in_maths @ SV27 @ SY71 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(98,plain,
! [SV28: mu,SV8: $i] :
( ( ! [SY72: $i] :
( ~ ( r3 @ SV8 @ SY72 )
| ~ ( physics_student @ SV28 @ SY72 )
| ~ ! [SY73: $i] :
( ~ ( r1 @ SY72 @ SY73 )
| ~ ( good_in_physics @ SV28 @ SY73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(99,plain,
! [SV29: mu,SV9: $i] :
( ( ! [SY74: $i] :
( ~ ( r3 @ SV9 @ SY74 )
| ~ ( physics_student @ SV29 @ SY74 )
| ~ ! [SY75: $i] :
( ~ ( r2 @ SY74 @ SY75 )
| ~ ( good_in_physics @ SV29 @ SY75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(100,plain,
! [SV30: mu,SV10: $i] :
( ( ! [SY76: $i] :
( ~ ( r3 @ SV10 @ SY76 )
| ~ ( maths_student @ SV30 @ SY76 )
| ~ ! [SY77: $i] :
( ~ ( r3 @ SY76 @ SY77 )
| ~ ( good_in_maths @ SV30 @ SY77 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(101,plain,
! [SV31: $i,SV11: $i] :
( ( ~ ( r5 @ SV11 @ SV31 )
| ( maths_student @ peter @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(102,plain,
! [SV32: mu,SV12: $i] :
( ( ! [SY78: $i] :
( ~ ( r5 @ SV12 @ SY78 )
| ~ ! [SY79: $i] :
( ~ ( r3 @ SY78 @ SY79 )
| ( mathematician @ SV32 @ SY79 ) )
| ! [SY80: $i] :
( ~ ( r3 @ SY78 @ SY80 )
| ( good_in_maths @ SV32 @ SY80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(103,plain,
! [SV33: $i,SV13: $i] :
( ( ~ ( r5 @ SV13 @ SV33 )
| ( physics_student @ mike @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(104,plain,
! [SV34: mu,SV14: $i] :
( ( ! [SY81: $i] :
( ~ ( r3 @ SV14 @ SY81 )
| ~ ( maths_student @ SV34 @ SY81 )
| ~ ! [SY82: $i] :
( ~ ( r4 @ SY81 @ SY82 )
| ~ ( good_in_maths @ SV34 @ SY82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(105,plain,
! [SV35: mu,SV15: $i] :
( ( ! [SY83: $i] :
( ~ ( r3 @ SV15 @ SY83 )
| ~ ( maths_student @ SV35 @ SY83 )
| ~ ! [SY84: $i] :
( ~ ( r1 @ SY83 @ SY84 )
| ~ ( good_in_maths @ SV35 @ SY84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(106,plain,
! [SV36: mu,SV16: $i] :
( ( ! [SY85: $i] :
( ~ ( r3 @ SV16 @ SY85 )
| ~ ( physics_student @ SV36 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( r3 @ SY85 @ SY86 )
| ~ ( good_in_physics @ SV36 @ SY86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(107,plain,
! [SV37: mu,SV17: $i] :
( ( ! [SY87: $i] :
( ~ ( r5 @ SV17 @ SY87 )
| ~ ! [SY88: $i] :
( ~ ( r2 @ SY87 @ SY88 )
| ( mathematician @ SV37 @ SY88 ) )
| ! [SY89: $i] :
( ~ ( r2 @ SY87 @ SY89 )
| ( good_in_maths @ SV37 @ SY89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(108,plain,
! [SV38: mu,SV18: $i] :
( ( ! [SY90: $i] :
( ~ ( r5 @ SV18 @ SY90 )
| ~ ! [SY91: $i] :
( ~ ( r5 @ SY90 @ SY91 )
| ( mathematician @ SV38 @ SY91 ) )
| ! [SY92: $i] :
( ~ ( r5 @ SY90 @ SY92 )
| ( good_in_maths @ SV38 @ SY92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(109,plain,
! [SV39: mu,SV19: $i] :
( ( ! [SY93: $i] :
( ~ ( r3 @ SV19 @ SY93 )
| ~ ( physics_student @ SV39 @ SY93 )
| ~ ! [SY94: $i] :
( ~ ( r5 @ SY93 @ SY94 )
| ~ ( good_in_physics @ SV39 @ SY94 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(110,plain,
! [SV20: $i,SV40: mu] :
( ( ~ ( maths_teacher @ SV40 @ SV20 )
| ! [SY95: $i] :
( ~ ( r4 @ SV20 @ SY95 )
| ( good_in_maths @ SV40 @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(111,plain,
! [SV41: mu,SV21: $i] :
( ( ! [SY96: $i] :
( ~ ( r3 @ SV21 @ SY96 )
| ~ ( maths_student @ SV41 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( r2 @ SY96 @ SY97 )
| ~ ( good_in_maths @ SV41 @ SY97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(112,plain,
! [SV22: $i,SV1: $i] :
( ( ( ~ ( r2 @ SV1 @ SV22 ) )
= $true )
| ( ( mathematician @ tom @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(113,plain,
! [SV23: mu,SV42: $i,SV2: $i] :
( ( ~ ( r5 @ SV2 @ SV42 )
| ~ ! [SY98: $i] :
( ~ ( r4 @ SV42 @ SY98 )
| ( mathematician @ SV23 @ SY98 ) )
| ! [SY99: $i] :
( ~ ( r4 @ SV42 @ SY99 )
| ( good_in_maths @ SV23 @ SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(114,plain,
! [SV24: mu,SV43: $i,SV3: $i] :
( ( ~ ( r3 @ SV3 @ SV43 )
| ~ ( maths_student @ SV24 @ SV43 )
| ~ ! [SY100: $i] :
( ~ ( r5 @ SV43 @ SY100 )
| ~ ( good_in_maths @ SV24 @ SY100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(115,plain,
! [SV25: mu,SV44: $i,SV4: $i] :
( ( ~ ( r3 @ SV4 @ SV44 )
| ~ ( physics_student @ SV25 @ SV44 )
| ~ ! [SY101: $i] :
( ~ ( r4 @ SV44 @ SY101 )
| ~ ( good_in_physics @ SV25 @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(116,plain,
( ( ! [SY65: mu] :
~ ! [SY66: $i] :
( ~ ( r4 @ sK1_SX0 @ SY66 )
| ( good_in_maths @ SY65 @ SY66 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(117,plain,
! [SV26: mu,SV45: $i,SV6: $i] :
( ( ~ ( r5 @ SV6 @ SV45 )
| ~ ! [SY102: $i] :
( ~ ( r1 @ SV45 @ SY102 )
| ( mathematician @ SV26 @ SY102 ) )
| ! [SY103: $i] :
( ~ ( r1 @ SV45 @ SY103 )
| ( good_in_maths @ SV26 @ SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(118,plain,
! [SV27: mu,SV46: $i,SV7: $i] :
( ( ~ ( r2 @ SV7 @ SV46 )
| ~ ( good_in_physics @ SV27 @ SV46 )
| ~ ! [SY104: $i] :
( ~ ( r2 @ SV46 @ SY104 )
| ~ ( good_in_maths @ SV27 @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(119,plain,
! [SV28: mu,SV47: $i,SV8: $i] :
( ( ~ ( r3 @ SV8 @ SV47 )
| ~ ( physics_student @ SV28 @ SV47 )
| ~ ! [SY105: $i] :
( ~ ( r1 @ SV47 @ SY105 )
| ~ ( good_in_physics @ SV28 @ SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(120,plain,
! [SV29: mu,SV48: $i,SV9: $i] :
( ( ~ ( r3 @ SV9 @ SV48 )
| ~ ( physics_student @ SV29 @ SV48 )
| ~ ! [SY106: $i] :
( ~ ( r2 @ SV48 @ SY106 )
| ~ ( good_in_physics @ SV29 @ SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(121,plain,
! [SV30: mu,SV49: $i,SV10: $i] :
( ( ~ ( r3 @ SV10 @ SV49 )
| ~ ( maths_student @ SV30 @ SV49 )
| ~ ! [SY107: $i] :
( ~ ( r3 @ SV49 @ SY107 )
| ~ ( good_in_maths @ SV30 @ SY107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(122,plain,
! [SV31: $i,SV11: $i] :
( ( ( ~ ( r5 @ SV11 @ SV31 ) )
= $true )
| ( ( maths_student @ peter @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(123,plain,
! [SV32: mu,SV50: $i,SV12: $i] :
( ( ~ ( r5 @ SV12 @ SV50 )
| ~ ! [SY108: $i] :
( ~ ( r3 @ SV50 @ SY108 )
| ( mathematician @ SV32 @ SY108 ) )
| ! [SY109: $i] :
( ~ ( r3 @ SV50 @ SY109 )
| ( good_in_maths @ SV32 @ SY109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(124,plain,
! [SV33: $i,SV13: $i] :
( ( ( ~ ( r5 @ SV13 @ SV33 ) )
= $true )
| ( ( physics_student @ mike @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(125,plain,
! [SV34: mu,SV51: $i,SV14: $i] :
( ( ~ ( r3 @ SV14 @ SV51 )
| ~ ( maths_student @ SV34 @ SV51 )
| ~ ! [SY110: $i] :
( ~ ( r4 @ SV51 @ SY110 )
| ~ ( good_in_maths @ SV34 @ SY110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(126,plain,
! [SV35: mu,SV52: $i,SV15: $i] :
( ( ~ ( r3 @ SV15 @ SV52 )
| ~ ( maths_student @ SV35 @ SV52 )
| ~ ! [SY111: $i] :
( ~ ( r1 @ SV52 @ SY111 )
| ~ ( good_in_maths @ SV35 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(127,plain,
! [SV36: mu,SV53: $i,SV16: $i] :
( ( ~ ( r3 @ SV16 @ SV53 )
| ~ ( physics_student @ SV36 @ SV53 )
| ~ ! [SY112: $i] :
( ~ ( r3 @ SV53 @ SY112 )
| ~ ( good_in_physics @ SV36 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(128,plain,
! [SV37: mu,SV54: $i,SV17: $i] :
( ( ~ ( r5 @ SV17 @ SV54 )
| ~ ! [SY113: $i] :
( ~ ( r2 @ SV54 @ SY113 )
| ( mathematician @ SV37 @ SY113 ) )
| ! [SY114: $i] :
( ~ ( r2 @ SV54 @ SY114 )
| ( good_in_maths @ SV37 @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(129,plain,
! [SV38: mu,SV55: $i,SV18: $i] :
( ( ~ ( r5 @ SV18 @ SV55 )
| ~ ! [SY115: $i] :
( ~ ( r5 @ SV55 @ SY115 )
| ( mathematician @ SV38 @ SY115 ) )
| ! [SY116: $i] :
( ~ ( r5 @ SV55 @ SY116 )
| ( good_in_maths @ SV38 @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(130,plain,
! [SV39: mu,SV56: $i,SV19: $i] :
( ( ~ ( r3 @ SV19 @ SV56 )
| ~ ( physics_student @ SV39 @ SV56 )
| ~ ! [SY117: $i] :
( ~ ( r5 @ SV56 @ SY117 )
| ~ ( good_in_physics @ SV39 @ SY117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(131,plain,
! [SV20: $i,SV40: mu] :
( ( ( ~ ( maths_teacher @ SV40 @ SV20 ) )
= $true )
| ( ( ! [SY95: $i] :
( ~ ( r4 @ SV20 @ SY95 )
| ( good_in_maths @ SV40 @ SY95 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(132,plain,
! [SV41: mu,SV57: $i,SV21: $i] :
( ( ~ ( r3 @ SV21 @ SV57 )
| ~ ( maths_student @ SV41 @ SV57 )
| ~ ! [SY118: $i] :
( ~ ( r2 @ SV57 @ SY118 )
| ~ ( good_in_maths @ SV41 @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(133,plain,
! [SV22: $i,SV1: $i] :
( ( ( r2 @ SV1 @ SV22 )
= $false )
| ( ( mathematician @ tom @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(134,plain,
! [SV23: mu,SV42: $i,SV2: $i] :
( ( ( ~ ( r5 @ SV2 @ SV42 ) )
= $true )
| ( ( ~ ! [SY98: $i] :
( ~ ( r4 @ SV42 @ SY98 )
| ( mathematician @ SV23 @ SY98 ) )
| ! [SY99: $i] :
( ~ ( r4 @ SV42 @ SY99 )
| ( good_in_maths @ SV23 @ SY99 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(135,plain,
! [SV24: mu,SV43: $i,SV3: $i] :
( ( ( ~ ( r3 @ SV3 @ SV43 ) )
= $true )
| ( ( ~ ( maths_student @ SV24 @ SV43 )
| ~ ! [SY100: $i] :
( ~ ( r5 @ SV43 @ SY100 )
| ~ ( good_in_maths @ SV24 @ SY100 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(136,plain,
! [SV25: mu,SV44: $i,SV4: $i] :
( ( ( ~ ( r3 @ SV4 @ SV44 ) )
= $true )
| ( ( ~ ( physics_student @ SV25 @ SV44 )
| ~ ! [SY101: $i] :
( ~ ( r4 @ SV44 @ SY101 )
| ~ ( good_in_physics @ SV25 @ SY101 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(137,plain,
! [SV58: mu] :
( ( ~ ! [SY119: $i] :
( ~ ( r4 @ sK1_SX0 @ SY119 )
| ( good_in_maths @ SV58 @ SY119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(138,plain,
! [SV26: mu,SV45: $i,SV6: $i] :
( ( ( ~ ( r5 @ SV6 @ SV45 ) )
= $true )
| ( ( ~ ! [SY102: $i] :
( ~ ( r1 @ SV45 @ SY102 )
| ( mathematician @ SV26 @ SY102 ) )
| ! [SY103: $i] :
( ~ ( r1 @ SV45 @ SY103 )
| ( good_in_maths @ SV26 @ SY103 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(139,plain,
! [SV27: mu,SV46: $i,SV7: $i] :
( ( ( ~ ( r2 @ SV7 @ SV46 ) )
= $true )
| ( ( ~ ( good_in_physics @ SV27 @ SV46 )
| ~ ! [SY104: $i] :
( ~ ( r2 @ SV46 @ SY104 )
| ~ ( good_in_maths @ SV27 @ SY104 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(140,plain,
! [SV28: mu,SV47: $i,SV8: $i] :
( ( ( ~ ( r3 @ SV8 @ SV47 ) )
= $true )
| ( ( ~ ( physics_student @ SV28 @ SV47 )
| ~ ! [SY105: $i] :
( ~ ( r1 @ SV47 @ SY105 )
| ~ ( good_in_physics @ SV28 @ SY105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(141,plain,
! [SV29: mu,SV48: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV48 ) )
= $true )
| ( ( ~ ( physics_student @ SV29 @ SV48 )
| ~ ! [SY106: $i] :
( ~ ( r2 @ SV48 @ SY106 )
| ~ ( good_in_physics @ SV29 @ SY106 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(142,plain,
! [SV30: mu,SV49: $i,SV10: $i] :
( ( ( ~ ( r3 @ SV10 @ SV49 ) )
= $true )
| ( ( ~ ( maths_student @ SV30 @ SV49 )
| ~ ! [SY107: $i] :
( ~ ( r3 @ SV49 @ SY107 )
| ~ ( good_in_maths @ SV30 @ SY107 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(143,plain,
! [SV31: $i,SV11: $i] :
( ( ( r5 @ SV11 @ SV31 )
= $false )
| ( ( maths_student @ peter @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(144,plain,
! [SV32: mu,SV50: $i,SV12: $i] :
( ( ( ~ ( r5 @ SV12 @ SV50 ) )
= $true )
| ( ( ~ ! [SY108: $i] :
( ~ ( r3 @ SV50 @ SY108 )
| ( mathematician @ SV32 @ SY108 ) )
| ! [SY109: $i] :
( ~ ( r3 @ SV50 @ SY109 )
| ( good_in_maths @ SV32 @ SY109 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(145,plain,
! [SV33: $i,SV13: $i] :
( ( ( r5 @ SV13 @ SV33 )
= $false )
| ( ( physics_student @ mike @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(146,plain,
! [SV34: mu,SV51: $i,SV14: $i] :
( ( ( ~ ( r3 @ SV14 @ SV51 ) )
= $true )
| ( ( ~ ( maths_student @ SV34 @ SV51 )
| ~ ! [SY110: $i] :
( ~ ( r4 @ SV51 @ SY110 )
| ~ ( good_in_maths @ SV34 @ SY110 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(147,plain,
! [SV35: mu,SV52: $i,SV15: $i] :
( ( ( ~ ( r3 @ SV15 @ SV52 ) )
= $true )
| ( ( ~ ( maths_student @ SV35 @ SV52 )
| ~ ! [SY111: $i] :
( ~ ( r1 @ SV52 @ SY111 )
| ~ ( good_in_maths @ SV35 @ SY111 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(148,plain,
! [SV36: mu,SV53: $i,SV16: $i] :
( ( ( ~ ( r3 @ SV16 @ SV53 ) )
= $true )
| ( ( ~ ( physics_student @ SV36 @ SV53 )
| ~ ! [SY112: $i] :
( ~ ( r3 @ SV53 @ SY112 )
| ~ ( good_in_physics @ SV36 @ SY112 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(149,plain,
! [SV37: mu,SV54: $i,SV17: $i] :
( ( ( ~ ( r5 @ SV17 @ SV54 ) )
= $true )
| ( ( ~ ! [SY113: $i] :
( ~ ( r2 @ SV54 @ SY113 )
| ( mathematician @ SV37 @ SY113 ) )
| ! [SY114: $i] :
( ~ ( r2 @ SV54 @ SY114 )
| ( good_in_maths @ SV37 @ SY114 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(150,plain,
! [SV38: mu,SV55: $i,SV18: $i] :
( ( ( ~ ( r5 @ SV18 @ SV55 ) )
= $true )
| ( ( ~ ! [SY115: $i] :
( ~ ( r5 @ SV55 @ SY115 )
| ( mathematician @ SV38 @ SY115 ) )
| ! [SY116: $i] :
( ~ ( r5 @ SV55 @ SY116 )
| ( good_in_maths @ SV38 @ SY116 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(151,plain,
! [SV39: mu,SV56: $i,SV19: $i] :
( ( ( ~ ( r3 @ SV19 @ SV56 ) )
= $true )
| ( ( ~ ( physics_student @ SV39 @ SV56 )
| ~ ! [SY117: $i] :
( ~ ( r5 @ SV56 @ SY117 )
| ~ ( good_in_physics @ SV39 @ SY117 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(152,plain,
! [SV20: $i,SV40: mu] :
( ( ( maths_teacher @ SV40 @ SV20 )
= $false )
| ( ( ! [SY95: $i] :
( ~ ( r4 @ SV20 @ SY95 )
| ( good_in_maths @ SV40 @ SY95 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(153,plain,
! [SV41: mu,SV57: $i,SV21: $i] :
( ( ( ~ ( r3 @ SV21 @ SV57 ) )
= $true )
| ( ( ~ ( maths_student @ SV41 @ SV57 )
| ~ ! [SY118: $i] :
( ~ ( r2 @ SV57 @ SY118 )
| ~ ( good_in_maths @ SV41 @ SY118 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(154,plain,
! [SV23: mu,SV42: $i,SV2: $i] :
( ( ( r5 @ SV2 @ SV42 )
= $false )
| ( ( ~ ! [SY98: $i] :
( ~ ( r4 @ SV42 @ SY98 )
| ( mathematician @ SV23 @ SY98 ) )
| ! [SY99: $i] :
( ~ ( r4 @ SV42 @ SY99 )
| ( good_in_maths @ SV23 @ SY99 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(155,plain,
! [SV24: mu,SV43: $i,SV3: $i] :
( ( ( r3 @ SV3 @ SV43 )
= $false )
| ( ( ~ ( maths_student @ SV24 @ SV43 )
| ~ ! [SY100: $i] :
( ~ ( r5 @ SV43 @ SY100 )
| ~ ( good_in_maths @ SV24 @ SY100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(156,plain,
! [SV25: mu,SV44: $i,SV4: $i] :
( ( ( r3 @ SV4 @ SV44 )
= $false )
| ( ( ~ ( physics_student @ SV25 @ SV44 )
| ~ ! [SY101: $i] :
( ~ ( r4 @ SV44 @ SY101 )
| ~ ( good_in_physics @ SV25 @ SY101 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(157,plain,
! [SV58: mu] :
( ( ! [SY119: $i] :
( ~ ( r4 @ sK1_SX0 @ SY119 )
| ( good_in_maths @ SV58 @ SY119 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(158,plain,
! [SV26: mu,SV45: $i,SV6: $i] :
( ( ( r5 @ SV6 @ SV45 )
= $false )
| ( ( ~ ! [SY102: $i] :
( ~ ( r1 @ SV45 @ SY102 )
| ( mathematician @ SV26 @ SY102 ) )
| ! [SY103: $i] :
( ~ ( r1 @ SV45 @ SY103 )
| ( good_in_maths @ SV26 @ SY103 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(159,plain,
! [SV27: mu,SV46: $i,SV7: $i] :
( ( ( r2 @ SV7 @ SV46 )
= $false )
| ( ( ~ ( good_in_physics @ SV27 @ SV46 )
| ~ ! [SY104: $i] :
( ~ ( r2 @ SV46 @ SY104 )
| ~ ( good_in_maths @ SV27 @ SY104 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(160,plain,
! [SV28: mu,SV47: $i,SV8: $i] :
( ( ( r3 @ SV8 @ SV47 )
= $false )
| ( ( ~ ( physics_student @ SV28 @ SV47 )
| ~ ! [SY105: $i] :
( ~ ( r1 @ SV47 @ SY105 )
| ~ ( good_in_physics @ SV28 @ SY105 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(161,plain,
! [SV29: mu,SV48: $i,SV9: $i] :
( ( ( r3 @ SV9 @ SV48 )
= $false )
| ( ( ~ ( physics_student @ SV29 @ SV48 )
| ~ ! [SY106: $i] :
( ~ ( r2 @ SV48 @ SY106 )
| ~ ( good_in_physics @ SV29 @ SY106 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(162,plain,
! [SV30: mu,SV49: $i,SV10: $i] :
( ( ( r3 @ SV10 @ SV49 )
= $false )
| ( ( ~ ( maths_student @ SV30 @ SV49 )
| ~ ! [SY107: $i] :
( ~ ( r3 @ SV49 @ SY107 )
| ~ ( good_in_maths @ SV30 @ SY107 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(163,plain,
! [SV32: mu,SV50: $i,SV12: $i] :
( ( ( r5 @ SV12 @ SV50 )
= $false )
| ( ( ~ ! [SY108: $i] :
( ~ ( r3 @ SV50 @ SY108 )
| ( mathematician @ SV32 @ SY108 ) )
| ! [SY109: $i] :
( ~ ( r3 @ SV50 @ SY109 )
| ( good_in_maths @ SV32 @ SY109 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(164,plain,
! [SV34: mu,SV51: $i,SV14: $i] :
( ( ( r3 @ SV14 @ SV51 )
= $false )
| ( ( ~ ( maths_student @ SV34 @ SV51 )
| ~ ! [SY110: $i] :
( ~ ( r4 @ SV51 @ SY110 )
| ~ ( good_in_maths @ SV34 @ SY110 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(165,plain,
! [SV35: mu,SV52: $i,SV15: $i] :
( ( ( r3 @ SV15 @ SV52 )
= $false )
| ( ( ~ ( maths_student @ SV35 @ SV52 )
| ~ ! [SY111: $i] :
( ~ ( r1 @ SV52 @ SY111 )
| ~ ( good_in_maths @ SV35 @ SY111 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(166,plain,
! [SV36: mu,SV53: $i,SV16: $i] :
( ( ( r3 @ SV16 @ SV53 )
= $false )
| ( ( ~ ( physics_student @ SV36 @ SV53 )
| ~ ! [SY112: $i] :
( ~ ( r3 @ SV53 @ SY112 )
| ~ ( good_in_physics @ SV36 @ SY112 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(167,plain,
! [SV37: mu,SV54: $i,SV17: $i] :
( ( ( r5 @ SV17 @ SV54 )
= $false )
| ( ( ~ ! [SY113: $i] :
( ~ ( r2 @ SV54 @ SY113 )
| ( mathematician @ SV37 @ SY113 ) )
| ! [SY114: $i] :
( ~ ( r2 @ SV54 @ SY114 )
| ( good_in_maths @ SV37 @ SY114 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(168,plain,
! [SV38: mu,SV55: $i,SV18: $i] :
( ( ( r5 @ SV18 @ SV55 )
= $false )
| ( ( ~ ! [SY115: $i] :
( ~ ( r5 @ SV55 @ SY115 )
| ( mathematician @ SV38 @ SY115 ) )
| ! [SY116: $i] :
( ~ ( r5 @ SV55 @ SY116 )
| ( good_in_maths @ SV38 @ SY116 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(169,plain,
! [SV39: mu,SV56: $i,SV19: $i] :
( ( ( r3 @ SV19 @ SV56 )
= $false )
| ( ( ~ ( physics_student @ SV39 @ SV56 )
| ~ ! [SY117: $i] :
( ~ ( r5 @ SV56 @ SY117 )
| ~ ( good_in_physics @ SV39 @ SY117 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(170,plain,
! [SV40: mu,SV59: $i,SV20: $i] :
( ( ( ~ ( r4 @ SV20 @ SV59 )
| ( good_in_maths @ SV40 @ SV59 ) )
= $true )
| ( ( maths_teacher @ SV40 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(171,plain,
! [SV41: mu,SV57: $i,SV21: $i] :
( ( ( r3 @ SV21 @ SV57 )
= $false )
| ( ( ~ ( maths_student @ SV41 @ SV57 )
| ~ ! [SY118: $i] :
( ~ ( r2 @ SV57 @ SY118 )
| ~ ( good_in_maths @ SV41 @ SY118 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(172,plain,
! [SV2: $i,SV23: mu,SV42: $i] :
( ( ( ~ ! [SY98: $i] :
( ~ ( r4 @ SV42 @ SY98 )
| ( mathematician @ SV23 @ SY98 ) ) )
= $true )
| ( ( ! [SY99: $i] :
( ~ ( r4 @ SV42 @ SY99 )
| ( good_in_maths @ SV23 @ SY99 ) ) )
= $true )
| ( ( r5 @ SV2 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(173,plain,
! [SV3: $i,SV43: $i,SV24: mu] :
( ( ( ~ ( maths_student @ SV24 @ SV43 ) )
= $true )
| ( ( ~ ! [SY100: $i] :
( ~ ( r5 @ SV43 @ SY100 )
| ~ ( good_in_maths @ SV24 @ SY100 ) ) )
= $true )
| ( ( r3 @ SV3 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(174,plain,
! [SV4: $i,SV44: $i,SV25: mu] :
( ( ( ~ ( physics_student @ SV25 @ SV44 ) )
= $true )
| ( ( ~ ! [SY101: $i] :
( ~ ( r4 @ SV44 @ SY101 )
| ~ ( good_in_physics @ SV25 @ SY101 ) ) )
= $true )
| ( ( r3 @ SV4 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(175,plain,
! [SV58: mu] :
( ( ~ ( r4 @ sK1_SX0 @ ( sK2_SY119 @ SV58 ) )
| ( good_in_maths @ SV58 @ ( sK2_SY119 @ SV58 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[157]) ).
thf(176,plain,
! [SV6: $i,SV26: mu,SV45: $i] :
( ( ( ~ ! [SY102: $i] :
( ~ ( r1 @ SV45 @ SY102 )
| ( mathematician @ SV26 @ SY102 ) ) )
= $true )
| ( ( ! [SY103: $i] :
( ~ ( r1 @ SV45 @ SY103 )
| ( good_in_maths @ SV26 @ SY103 ) ) )
= $true )
| ( ( r5 @ SV6 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(177,plain,
! [SV7: $i,SV46: $i,SV27: mu] :
( ( ( ~ ( good_in_physics @ SV27 @ SV46 ) )
= $true )
| ( ( ~ ! [SY104: $i] :
( ~ ( r2 @ SV46 @ SY104 )
| ~ ( good_in_maths @ SV27 @ SY104 ) ) )
= $true )
| ( ( r2 @ SV7 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(178,plain,
! [SV8: $i,SV47: $i,SV28: mu] :
( ( ( ~ ( physics_student @ SV28 @ SV47 ) )
= $true )
| ( ( ~ ! [SY105: $i] :
( ~ ( r1 @ SV47 @ SY105 )
| ~ ( good_in_physics @ SV28 @ SY105 ) ) )
= $true )
| ( ( r3 @ SV8 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(179,plain,
! [SV9: $i,SV48: $i,SV29: mu] :
( ( ( ~ ( physics_student @ SV29 @ SV48 ) )
= $true )
| ( ( ~ ! [SY106: $i] :
( ~ ( r2 @ SV48 @ SY106 )
| ~ ( good_in_physics @ SV29 @ SY106 ) ) )
= $true )
| ( ( r3 @ SV9 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(180,plain,
! [SV10: $i,SV49: $i,SV30: mu] :
( ( ( ~ ( maths_student @ SV30 @ SV49 ) )
= $true )
| ( ( ~ ! [SY107: $i] :
( ~ ( r3 @ SV49 @ SY107 )
| ~ ( good_in_maths @ SV30 @ SY107 ) ) )
= $true )
| ( ( r3 @ SV10 @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(181,plain,
! [SV12: $i,SV32: mu,SV50: $i] :
( ( ( ~ ! [SY108: $i] :
( ~ ( r3 @ SV50 @ SY108 )
| ( mathematician @ SV32 @ SY108 ) ) )
= $true )
| ( ( ! [SY109: $i] :
( ~ ( r3 @ SV50 @ SY109 )
| ( good_in_maths @ SV32 @ SY109 ) ) )
= $true )
| ( ( r5 @ SV12 @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(182,plain,
! [SV14: $i,SV51: $i,SV34: mu] :
( ( ( ~ ( maths_student @ SV34 @ SV51 ) )
= $true )
| ( ( ~ ! [SY110: $i] :
( ~ ( r4 @ SV51 @ SY110 )
| ~ ( good_in_maths @ SV34 @ SY110 ) ) )
= $true )
| ( ( r3 @ SV14 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(183,plain,
! [SV15: $i,SV52: $i,SV35: mu] :
( ( ( ~ ( maths_student @ SV35 @ SV52 ) )
= $true )
| ( ( ~ ! [SY111: $i] :
( ~ ( r1 @ SV52 @ SY111 )
| ~ ( good_in_maths @ SV35 @ SY111 ) ) )
= $true )
| ( ( r3 @ SV15 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(184,plain,
! [SV16: $i,SV53: $i,SV36: mu] :
( ( ( ~ ( physics_student @ SV36 @ SV53 ) )
= $true )
| ( ( ~ ! [SY112: $i] :
( ~ ( r3 @ SV53 @ SY112 )
| ~ ( good_in_physics @ SV36 @ SY112 ) ) )
= $true )
| ( ( r3 @ SV16 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(185,plain,
! [SV17: $i,SV37: mu,SV54: $i] :
( ( ( ~ ! [SY113: $i] :
( ~ ( r2 @ SV54 @ SY113 )
| ( mathematician @ SV37 @ SY113 ) ) )
= $true )
| ( ( ! [SY114: $i] :
( ~ ( r2 @ SV54 @ SY114 )
| ( good_in_maths @ SV37 @ SY114 ) ) )
= $true )
| ( ( r5 @ SV17 @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(186,plain,
! [SV18: $i,SV38: mu,SV55: $i] :
( ( ( ~ ! [SY115: $i] :
( ~ ( r5 @ SV55 @ SY115 )
| ( mathematician @ SV38 @ SY115 ) ) )
= $true )
| ( ( ! [SY116: $i] :
( ~ ( r5 @ SV55 @ SY116 )
| ( good_in_maths @ SV38 @ SY116 ) ) )
= $true )
| ( ( r5 @ SV18 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(187,plain,
! [SV19: $i,SV56: $i,SV39: mu] :
( ( ( ~ ( physics_student @ SV39 @ SV56 ) )
= $true )
| ( ( ~ ! [SY117: $i] :
( ~ ( r5 @ SV56 @ SY117 )
| ~ ( good_in_physics @ SV39 @ SY117 ) ) )
= $true )
| ( ( r3 @ SV19 @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(188,plain,
! [SV40: mu,SV59: $i,SV20: $i] :
( ( ( ~ ( r4 @ SV20 @ SV59 ) )
= $true )
| ( ( good_in_maths @ SV40 @ SV59 )
= $true )
| ( ( maths_teacher @ SV40 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(189,plain,
! [SV21: $i,SV57: $i,SV41: mu] :
( ( ( ~ ( maths_student @ SV41 @ SV57 ) )
= $true )
| ( ( ~ ! [SY118: $i] :
( ~ ( r2 @ SV57 @ SY118 )
| ~ ( good_in_maths @ SV41 @ SY118 ) ) )
= $true )
| ( ( r3 @ SV21 @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(190,plain,
! [SV2: $i,SV23: mu,SV42: $i] :
( ( ( ! [SY98: $i] :
( ~ ( r4 @ SV42 @ SY98 )
| ( mathematician @ SV23 @ SY98 ) ) )
= $false )
| ( ( ! [SY99: $i] :
( ~ ( r4 @ SV42 @ SY99 )
| ( good_in_maths @ SV23 @ SY99 ) ) )
= $true )
| ( ( r5 @ SV2 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(191,plain,
! [SV3: $i,SV43: $i,SV24: mu] :
( ( ( maths_student @ SV24 @ SV43 )
= $false )
| ( ( ~ ! [SY100: $i] :
( ~ ( r5 @ SV43 @ SY100 )
| ~ ( good_in_maths @ SV24 @ SY100 ) ) )
= $true )
| ( ( r3 @ SV3 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(192,plain,
! [SV4: $i,SV44: $i,SV25: mu] :
( ( ( physics_student @ SV25 @ SV44 )
= $false )
| ( ( ~ ! [SY101: $i] :
( ~ ( r4 @ SV44 @ SY101 )
| ~ ( good_in_physics @ SV25 @ SY101 ) ) )
= $true )
| ( ( r3 @ SV4 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(193,plain,
! [SV58: mu] :
( ( ~ ( r4 @ sK1_SX0 @ ( sK2_SY119 @ SV58 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(194,plain,
! [SV58: mu] :
( ( good_in_maths @ SV58 @ ( sK2_SY119 @ SV58 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(195,plain,
! [SV6: $i,SV26: mu,SV45: $i] :
( ( ( ! [SY102: $i] :
( ~ ( r1 @ SV45 @ SY102 )
| ( mathematician @ SV26 @ SY102 ) ) )
= $false )
| ( ( ! [SY103: $i] :
( ~ ( r1 @ SV45 @ SY103 )
| ( good_in_maths @ SV26 @ SY103 ) ) )
= $true )
| ( ( r5 @ SV6 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(196,plain,
! [SV7: $i,SV46: $i,SV27: mu] :
( ( ( good_in_physics @ SV27 @ SV46 )
= $false )
| ( ( ~ ! [SY104: $i] :
( ~ ( r2 @ SV46 @ SY104 )
| ~ ( good_in_maths @ SV27 @ SY104 ) ) )
= $true )
| ( ( r2 @ SV7 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(197,plain,
! [SV8: $i,SV47: $i,SV28: mu] :
( ( ( physics_student @ SV28 @ SV47 )
= $false )
| ( ( ~ ! [SY105: $i] :
( ~ ( r1 @ SV47 @ SY105 )
| ~ ( good_in_physics @ SV28 @ SY105 ) ) )
= $true )
| ( ( r3 @ SV8 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(198,plain,
! [SV9: $i,SV48: $i,SV29: mu] :
( ( ( physics_student @ SV29 @ SV48 )
= $false )
| ( ( ~ ! [SY106: $i] :
( ~ ( r2 @ SV48 @ SY106 )
| ~ ( good_in_physics @ SV29 @ SY106 ) ) )
= $true )
| ( ( r3 @ SV9 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(199,plain,
! [SV10: $i,SV49: $i,SV30: mu] :
( ( ( maths_student @ SV30 @ SV49 )
= $false )
| ( ( ~ ! [SY107: $i] :
( ~ ( r3 @ SV49 @ SY107 )
| ~ ( good_in_maths @ SV30 @ SY107 ) ) )
= $true )
| ( ( r3 @ SV10 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(200,plain,
! [SV12: $i,SV32: mu,SV50: $i] :
( ( ( ! [SY108: $i] :
( ~ ( r3 @ SV50 @ SY108 )
| ( mathematician @ SV32 @ SY108 ) ) )
= $false )
| ( ( ! [SY109: $i] :
( ~ ( r3 @ SV50 @ SY109 )
| ( good_in_maths @ SV32 @ SY109 ) ) )
= $true )
| ( ( r5 @ SV12 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(201,plain,
! [SV14: $i,SV51: $i,SV34: mu] :
( ( ( maths_student @ SV34 @ SV51 )
= $false )
| ( ( ~ ! [SY110: $i] :
( ~ ( r4 @ SV51 @ SY110 )
| ~ ( good_in_maths @ SV34 @ SY110 ) ) )
= $true )
| ( ( r3 @ SV14 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(202,plain,
! [SV15: $i,SV52: $i,SV35: mu] :
( ( ( maths_student @ SV35 @ SV52 )
= $false )
| ( ( ~ ! [SY111: $i] :
( ~ ( r1 @ SV52 @ SY111 )
| ~ ( good_in_maths @ SV35 @ SY111 ) ) )
= $true )
| ( ( r3 @ SV15 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(203,plain,
! [SV16: $i,SV53: $i,SV36: mu] :
( ( ( physics_student @ SV36 @ SV53 )
= $false )
| ( ( ~ ! [SY112: $i] :
( ~ ( r3 @ SV53 @ SY112 )
| ~ ( good_in_physics @ SV36 @ SY112 ) ) )
= $true )
| ( ( r3 @ SV16 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(204,plain,
! [SV17: $i,SV37: mu,SV54: $i] :
( ( ( ! [SY113: $i] :
( ~ ( r2 @ SV54 @ SY113 )
| ( mathematician @ SV37 @ SY113 ) ) )
= $false )
| ( ( ! [SY114: $i] :
( ~ ( r2 @ SV54 @ SY114 )
| ( good_in_maths @ SV37 @ SY114 ) ) )
= $true )
| ( ( r5 @ SV17 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(205,plain,
! [SV18: $i,SV38: mu,SV55: $i] :
( ( ( ! [SY115: $i] :
( ~ ( r5 @ SV55 @ SY115 )
| ( mathematician @ SV38 @ SY115 ) ) )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( r5 @ SV55 @ SY116 )
| ( good_in_maths @ SV38 @ SY116 ) ) )
= $true )
| ( ( r5 @ SV18 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(206,plain,
! [SV19: $i,SV56: $i,SV39: mu] :
( ( ( physics_student @ SV39 @ SV56 )
= $false )
| ( ( ~ ! [SY117: $i] :
( ~ ( r5 @ SV56 @ SY117 )
| ~ ( good_in_physics @ SV39 @ SY117 ) ) )
= $true )
| ( ( r3 @ SV19 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(207,plain,
! [SV40: mu,SV59: $i,SV20: $i] :
( ( ( r4 @ SV20 @ SV59 )
= $false )
| ( ( good_in_maths @ SV40 @ SV59 )
= $true )
| ( ( maths_teacher @ SV40 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(208,plain,
! [SV21: $i,SV57: $i,SV41: mu] :
( ( ( maths_student @ SV41 @ SV57 )
= $false )
| ( ( ~ ! [SY118: $i] :
( ~ ( r2 @ SV57 @ SY118 )
| ~ ( good_in_maths @ SV41 @ SY118 ) ) )
= $true )
| ( ( r3 @ SV21 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(209,plain,
! [SV23: mu,SV2: $i,SV42: $i] :
( ( ( ~ ( r4 @ SV42 @ ( sK3_SY98 @ SV2 @ SV23 @ SV42 ) )
| ( mathematician @ SV23 @ ( sK3_SY98 @ SV2 @ SV23 @ SV42 ) ) )
= $false )
| ( ( ! [SY99: $i] :
( ~ ( r4 @ SV42 @ SY99 )
| ( good_in_maths @ SV23 @ SY99 ) ) )
= $true )
| ( ( r5 @ SV2 @ SV42 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[190]) ).
thf(210,plain,
! [SV3: $i,SV24: mu,SV43: $i] :
( ( ( ! [SY100: $i] :
( ~ ( r5 @ SV43 @ SY100 )
| ~ ( good_in_maths @ SV24 @ SY100 ) ) )
= $false )
| ( ( maths_student @ SV24 @ SV43 )
= $false )
| ( ( r3 @ SV3 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(211,plain,
! [SV4: $i,SV25: mu,SV44: $i] :
( ( ( ! [SY101: $i] :
( ~ ( r4 @ SV44 @ SY101 )
| ~ ( good_in_physics @ SV25 @ SY101 ) ) )
= $false )
| ( ( physics_student @ SV25 @ SV44 )
= $false )
| ( ( r3 @ SV4 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(212,plain,
! [SV58: mu] :
( ( r4 @ sK1_SX0 @ ( sK2_SY119 @ SV58 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(213,plain,
! [SV26: mu,SV6: $i,SV45: $i] :
( ( ( ~ ( r1 @ SV45 @ ( sK4_SY102 @ SV6 @ SV26 @ SV45 ) )
| ( mathematician @ SV26 @ ( sK4_SY102 @ SV6 @ SV26 @ SV45 ) ) )
= $false )
| ( ( ! [SY103: $i] :
( ~ ( r1 @ SV45 @ SY103 )
| ( good_in_maths @ SV26 @ SY103 ) ) )
= $true )
| ( ( r5 @ SV6 @ SV45 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[195]) ).
thf(214,plain,
! [SV7: $i,SV27: mu,SV46: $i] :
( ( ( ! [SY104: $i] :
( ~ ( r2 @ SV46 @ SY104 )
| ~ ( good_in_maths @ SV27 @ SY104 ) ) )
= $false )
| ( ( good_in_physics @ SV27 @ SV46 )
= $false )
| ( ( r2 @ SV7 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(215,plain,
! [SV8: $i,SV28: mu,SV47: $i] :
( ( ( ! [SY105: $i] :
( ~ ( r1 @ SV47 @ SY105 )
| ~ ( good_in_physics @ SV28 @ SY105 ) ) )
= $false )
| ( ( physics_student @ SV28 @ SV47 )
= $false )
| ( ( r3 @ SV8 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(216,plain,
! [SV9: $i,SV29: mu,SV48: $i] :
( ( ( ! [SY106: $i] :
( ~ ( r2 @ SV48 @ SY106 )
| ~ ( good_in_physics @ SV29 @ SY106 ) ) )
= $false )
| ( ( physics_student @ SV29 @ SV48 )
= $false )
| ( ( r3 @ SV9 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(217,plain,
! [SV10: $i,SV30: mu,SV49: $i] :
( ( ( ! [SY107: $i] :
( ~ ( r3 @ SV49 @ SY107 )
| ~ ( good_in_maths @ SV30 @ SY107 ) ) )
= $false )
| ( ( maths_student @ SV30 @ SV49 )
= $false )
| ( ( r3 @ SV10 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(218,plain,
! [SV32: mu,SV12: $i,SV50: $i] :
( ( ( ~ ( r3 @ SV50 @ ( sK5_SY108 @ SV12 @ SV32 @ SV50 ) )
| ( mathematician @ SV32 @ ( sK5_SY108 @ SV12 @ SV32 @ SV50 ) ) )
= $false )
| ( ( ! [SY109: $i] :
( ~ ( r3 @ SV50 @ SY109 )
| ( good_in_maths @ SV32 @ SY109 ) ) )
= $true )
| ( ( r5 @ SV12 @ SV50 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[200]) ).
thf(219,plain,
! [SV14: $i,SV34: mu,SV51: $i] :
( ( ( ! [SY110: $i] :
( ~ ( r4 @ SV51 @ SY110 )
| ~ ( good_in_maths @ SV34 @ SY110 ) ) )
= $false )
| ( ( maths_student @ SV34 @ SV51 )
= $false )
| ( ( r3 @ SV14 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(220,plain,
! [SV15: $i,SV35: mu,SV52: $i] :
( ( ( ! [SY111: $i] :
( ~ ( r1 @ SV52 @ SY111 )
| ~ ( good_in_maths @ SV35 @ SY111 ) ) )
= $false )
| ( ( maths_student @ SV35 @ SV52 )
= $false )
| ( ( r3 @ SV15 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(221,plain,
! [SV16: $i,SV36: mu,SV53: $i] :
( ( ( ! [SY112: $i] :
( ~ ( r3 @ SV53 @ SY112 )
| ~ ( good_in_physics @ SV36 @ SY112 ) ) )
= $false )
| ( ( physics_student @ SV36 @ SV53 )
= $false )
| ( ( r3 @ SV16 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(222,plain,
! [SV37: mu,SV17: $i,SV54: $i] :
( ( ( ~ ( r2 @ SV54 @ ( sK6_SY113 @ SV17 @ SV37 @ SV54 ) )
| ( mathematician @ SV37 @ ( sK6_SY113 @ SV17 @ SV37 @ SV54 ) ) )
= $false )
| ( ( ! [SY114: $i] :
( ~ ( r2 @ SV54 @ SY114 )
| ( good_in_maths @ SV37 @ SY114 ) ) )
= $true )
| ( ( r5 @ SV17 @ SV54 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[204]) ).
thf(223,plain,
! [SV38: mu,SV18: $i,SV55: $i] :
( ( ( ~ ( r5 @ SV55 @ ( sK7_SY115 @ SV18 @ SV38 @ SV55 ) )
| ( mathematician @ SV38 @ ( sK7_SY115 @ SV18 @ SV38 @ SV55 ) ) )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( r5 @ SV55 @ SY116 )
| ( good_in_maths @ SV38 @ SY116 ) ) )
= $true )
| ( ( r5 @ SV18 @ SV55 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[205]) ).
thf(224,plain,
! [SV19: $i,SV39: mu,SV56: $i] :
( ( ( ! [SY117: $i] :
( ~ ( r5 @ SV56 @ SY117 )
| ~ ( good_in_physics @ SV39 @ SY117 ) ) )
= $false )
| ( ( physics_student @ SV39 @ SV56 )
= $false )
| ( ( r3 @ SV19 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(225,plain,
! [SV21: $i,SV41: mu,SV57: $i] :
( ( ( ! [SY118: $i] :
( ~ ( r2 @ SV57 @ SY118 )
| ~ ( good_in_maths @ SV41 @ SY118 ) ) )
= $false )
| ( ( maths_student @ SV41 @ SV57 )
= $false )
| ( ( r3 @ SV21 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(226,plain,
! [SV23: mu,SV2: $i,SV42: $i] :
( ( ( ~ ( r4 @ SV42 @ ( sK3_SY98 @ SV2 @ SV23 @ SV42 ) ) )
= $false )
| ( ( ! [SY99: $i] :
( ~ ( r4 @ SV42 @ SY99 )
| ( good_in_maths @ SV23 @ SY99 ) ) )
= $true )
| ( ( r5 @ SV2 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(227,plain,
! [SV42: $i,SV2: $i,SV23: mu] :
( ( ( mathematician @ SV23 @ ( sK3_SY98 @ SV2 @ SV23 @ SV42 ) )
= $false )
| ( ( ! [SY99: $i] :
( ~ ( r4 @ SV42 @ SY99 )
| ( good_in_maths @ SV23 @ SY99 ) ) )
= $true )
| ( ( r5 @ SV2 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(228,plain,
! [SV24: mu,SV3: $i,SV43: $i] :
( ( ( ~ ( r5 @ SV43 @ ( sK8_SY100 @ SV3 @ SV24 @ SV43 ) )
| ~ ( good_in_maths @ SV24 @ ( sK8_SY100 @ SV3 @ SV24 @ SV43 ) ) )
= $false )
| ( ( maths_student @ SV24 @ SV43 )
= $false )
| ( ( r3 @ SV3 @ SV43 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[210]) ).
thf(229,plain,
! [SV25: mu,SV4: $i,SV44: $i] :
( ( ( ~ ( r4 @ SV44 @ ( sK9_SY101 @ SV4 @ SV25 @ SV44 ) )
| ~ ( good_in_physics @ SV25 @ ( sK9_SY101 @ SV4 @ SV25 @ SV44 ) ) )
= $false )
| ( ( physics_student @ SV25 @ SV44 )
= $false )
| ( ( r3 @ SV4 @ SV44 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[211]) ).
thf(230,plain,
! [SV26: mu,SV6: $i,SV45: $i] :
( ( ( ~ ( r1 @ SV45 @ ( sK4_SY102 @ SV6 @ SV26 @ SV45 ) ) )
= $false )
| ( ( ! [SY103: $i] :
( ~ ( r1 @ SV45 @ SY103 )
| ( good_in_maths @ SV26 @ SY103 ) ) )
= $true )
| ( ( r5 @ SV6 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(231,plain,
! [SV45: $i,SV6: $i,SV26: mu] :
( ( ( mathematician @ SV26 @ ( sK4_SY102 @ SV6 @ SV26 @ SV45 ) )
= $false )
| ( ( ! [SY103: $i] :
( ~ ( r1 @ SV45 @ SY103 )
| ( good_in_maths @ SV26 @ SY103 ) ) )
= $true )
| ( ( r5 @ SV6 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(232,plain,
! [SV27: mu,SV7: $i,SV46: $i] :
( ( ( ~ ( r2 @ SV46 @ ( sK10_SY104 @ SV7 @ SV27 @ SV46 ) )
| ~ ( good_in_maths @ SV27 @ ( sK10_SY104 @ SV7 @ SV27 @ SV46 ) ) )
= $false )
| ( ( good_in_physics @ SV27 @ SV46 )
= $false )
| ( ( r2 @ SV7 @ SV46 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[214]) ).
thf(233,plain,
! [SV28: mu,SV8: $i,SV47: $i] :
( ( ( ~ ( r1 @ SV47 @ ( sK11_SY105 @ SV8 @ SV28 @ SV47 ) )
| ~ ( good_in_physics @ SV28 @ ( sK11_SY105 @ SV8 @ SV28 @ SV47 ) ) )
= $false )
| ( ( physics_student @ SV28 @ SV47 )
= $false )
| ( ( r3 @ SV8 @ SV47 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[215]) ).
thf(234,plain,
! [SV29: mu,SV9: $i,SV48: $i] :
( ( ( ~ ( r2 @ SV48 @ ( sK12_SY106 @ SV9 @ SV29 @ SV48 ) )
| ~ ( good_in_physics @ SV29 @ ( sK12_SY106 @ SV9 @ SV29 @ SV48 ) ) )
= $false )
| ( ( physics_student @ SV29 @ SV48 )
= $false )
| ( ( r3 @ SV9 @ SV48 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[216]) ).
thf(235,plain,
! [SV30: mu,SV10: $i,SV49: $i] :
( ( ( ~ ( r3 @ SV49 @ ( sK13_SY107 @ SV10 @ SV30 @ SV49 ) )
| ~ ( good_in_maths @ SV30 @ ( sK13_SY107 @ SV10 @ SV30 @ SV49 ) ) )
= $false )
| ( ( maths_student @ SV30 @ SV49 )
= $false )
| ( ( r3 @ SV10 @ SV49 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[217]) ).
thf(236,plain,
! [SV32: mu,SV12: $i,SV50: $i] :
( ( ( ~ ( r3 @ SV50 @ ( sK5_SY108 @ SV12 @ SV32 @ SV50 ) ) )
= $false )
| ( ( ! [SY109: $i] :
( ~ ( r3 @ SV50 @ SY109 )
| ( good_in_maths @ SV32 @ SY109 ) ) )
= $true )
| ( ( r5 @ SV12 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(237,plain,
! [SV50: $i,SV12: $i,SV32: mu] :
( ( ( mathematician @ SV32 @ ( sK5_SY108 @ SV12 @ SV32 @ SV50 ) )
= $false )
| ( ( ! [SY109: $i] :
( ~ ( r3 @ SV50 @ SY109 )
| ( good_in_maths @ SV32 @ SY109 ) ) )
= $true )
| ( ( r5 @ SV12 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(238,plain,
! [SV34: mu,SV14: $i,SV51: $i] :
( ( ( ~ ( r4 @ SV51 @ ( sK14_SY110 @ SV14 @ SV34 @ SV51 ) )
| ~ ( good_in_maths @ SV34 @ ( sK14_SY110 @ SV14 @ SV34 @ SV51 ) ) )
= $false )
| ( ( maths_student @ SV34 @ SV51 )
= $false )
| ( ( r3 @ SV14 @ SV51 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[219]) ).
thf(239,plain,
! [SV35: mu,SV15: $i,SV52: $i] :
( ( ( ~ ( r1 @ SV52 @ ( sK15_SY111 @ SV15 @ SV35 @ SV52 ) )
| ~ ( good_in_maths @ SV35 @ ( sK15_SY111 @ SV15 @ SV35 @ SV52 ) ) )
= $false )
| ( ( maths_student @ SV35 @ SV52 )
= $false )
| ( ( r3 @ SV15 @ SV52 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[220]) ).
thf(240,plain,
! [SV36: mu,SV16: $i,SV53: $i] :
( ( ( ~ ( r3 @ SV53 @ ( sK16_SY112 @ SV16 @ SV36 @ SV53 ) )
| ~ ( good_in_physics @ SV36 @ ( sK16_SY112 @ SV16 @ SV36 @ SV53 ) ) )
= $false )
| ( ( physics_student @ SV36 @ SV53 )
= $false )
| ( ( r3 @ SV16 @ SV53 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[221]) ).
thf(241,plain,
! [SV37: mu,SV17: $i,SV54: $i] :
( ( ( ~ ( r2 @ SV54 @ ( sK6_SY113 @ SV17 @ SV37 @ SV54 ) ) )
= $false )
| ( ( ! [SY114: $i] :
( ~ ( r2 @ SV54 @ SY114 )
| ( good_in_maths @ SV37 @ SY114 ) ) )
= $true )
| ( ( r5 @ SV17 @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(242,plain,
! [SV54: $i,SV17: $i,SV37: mu] :
( ( ( mathematician @ SV37 @ ( sK6_SY113 @ SV17 @ SV37 @ SV54 ) )
= $false )
| ( ( ! [SY114: $i] :
( ~ ( r2 @ SV54 @ SY114 )
| ( good_in_maths @ SV37 @ SY114 ) ) )
= $true )
| ( ( r5 @ SV17 @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(243,plain,
! [SV38: mu,SV18: $i,SV55: $i] :
( ( ( ~ ( r5 @ SV55 @ ( sK7_SY115 @ SV18 @ SV38 @ SV55 ) ) )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( r5 @ SV55 @ SY116 )
| ( good_in_maths @ SV38 @ SY116 ) ) )
= $true )
| ( ( r5 @ SV18 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(244,plain,
! [SV55: $i,SV18: $i,SV38: mu] :
( ( ( mathematician @ SV38 @ ( sK7_SY115 @ SV18 @ SV38 @ SV55 ) )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( r5 @ SV55 @ SY116 )
| ( good_in_maths @ SV38 @ SY116 ) ) )
= $true )
| ( ( r5 @ SV18 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(245,plain,
! [SV39: mu,SV19: $i,SV56: $i] :
( ( ( ~ ( r5 @ SV56 @ ( sK17_SY117 @ SV19 @ SV39 @ SV56 ) )
| ~ ( good_in_physics @ SV39 @ ( sK17_SY117 @ SV19 @ SV39 @ SV56 ) ) )
= $false )
| ( ( physics_student @ SV39 @ SV56 )
= $false )
| ( ( r3 @ SV19 @ SV56 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[224]) ).
thf(246,plain,
! [SV41: mu,SV21: $i,SV57: $i] :
( ( ( ~ ( r2 @ SV57 @ ( sK18_SY118 @ SV21 @ SV41 @ SV57 ) )
| ~ ( good_in_maths @ SV41 @ ( sK18_SY118 @ SV21 @ SV41 @ SV57 ) ) )
= $false )
| ( ( maths_student @ SV41 @ SV57 )
= $false )
| ( ( r3 @ SV21 @ SV57 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[225]) ).
thf(247,plain,
! [SV23: mu,SV2: $i,SV42: $i] :
( ( ( r4 @ SV42 @ ( sK3_SY98 @ SV2 @ SV23 @ SV42 ) )
= $true )
| ( ( ! [SY99: $i] :
( ~ ( r4 @ SV42 @ SY99 )
| ( good_in_maths @ SV23 @ SY99 ) ) )
= $true )
| ( ( r5 @ SV2 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(248,plain,
! [SV2: $i,SV23: mu,SV60: $i,SV42: $i] :
( ( ( ~ ( r4 @ SV42 @ SV60 )
| ( good_in_maths @ SV23 @ SV60 ) )
= $true )
| ( ( mathematician @ SV23 @ ( sK3_SY98 @ SV2 @ SV23 @ SV42 ) )
= $false )
| ( ( r5 @ SV2 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(249,plain,
! [SV24: mu,SV3: $i,SV43: $i] :
( ( ( ~ ( r5 @ SV43 @ ( sK8_SY100 @ SV3 @ SV24 @ SV43 ) ) )
= $false )
| ( ( maths_student @ SV24 @ SV43 )
= $false )
| ( ( r3 @ SV3 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(250,plain,
! [SV43: $i,SV3: $i,SV24: mu] :
( ( ( ~ ( good_in_maths @ SV24 @ ( sK8_SY100 @ SV3 @ SV24 @ SV43 ) ) )
= $false )
| ( ( maths_student @ SV24 @ SV43 )
= $false )
| ( ( r3 @ SV3 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(251,plain,
! [SV25: mu,SV4: $i,SV44: $i] :
( ( ( ~ ( r4 @ SV44 @ ( sK9_SY101 @ SV4 @ SV25 @ SV44 ) ) )
= $false )
| ( ( physics_student @ SV25 @ SV44 )
= $false )
| ( ( r3 @ SV4 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(252,plain,
! [SV44: $i,SV4: $i,SV25: mu] :
( ( ( ~ ( good_in_physics @ SV25 @ ( sK9_SY101 @ SV4 @ SV25 @ SV44 ) ) )
= $false )
| ( ( physics_student @ SV25 @ SV44 )
= $false )
| ( ( r3 @ SV4 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(253,plain,
! [SV26: mu,SV6: $i,SV45: $i] :
( ( ( r1 @ SV45 @ ( sK4_SY102 @ SV6 @ SV26 @ SV45 ) )
= $true )
| ( ( ! [SY103: $i] :
( ~ ( r1 @ SV45 @ SY103 )
| ( good_in_maths @ SV26 @ SY103 ) ) )
= $true )
| ( ( r5 @ SV6 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(254,plain,
! [SV6: $i,SV26: mu,SV61: $i,SV45: $i] :
( ( ( ~ ( r1 @ SV45 @ SV61 )
| ( good_in_maths @ SV26 @ SV61 ) )
= $true )
| ( ( mathematician @ SV26 @ ( sK4_SY102 @ SV6 @ SV26 @ SV45 ) )
= $false )
| ( ( r5 @ SV6 @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(255,plain,
! [SV27: mu,SV7: $i,SV46: $i] :
( ( ( ~ ( r2 @ SV46 @ ( sK10_SY104 @ SV7 @ SV27 @ SV46 ) ) )
= $false )
| ( ( good_in_physics @ SV27 @ SV46 )
= $false )
| ( ( r2 @ SV7 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(256,plain,
! [SV46: $i,SV7: $i,SV27: mu] :
( ( ( ~ ( good_in_maths @ SV27 @ ( sK10_SY104 @ SV7 @ SV27 @ SV46 ) ) )
= $false )
| ( ( good_in_physics @ SV27 @ SV46 )
= $false )
| ( ( r2 @ SV7 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(257,plain,
! [SV28: mu,SV8: $i,SV47: $i] :
( ( ( ~ ( r1 @ SV47 @ ( sK11_SY105 @ SV8 @ SV28 @ SV47 ) ) )
= $false )
| ( ( physics_student @ SV28 @ SV47 )
= $false )
| ( ( r3 @ SV8 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(258,plain,
! [SV47: $i,SV8: $i,SV28: mu] :
( ( ( ~ ( good_in_physics @ SV28 @ ( sK11_SY105 @ SV8 @ SV28 @ SV47 ) ) )
= $false )
| ( ( physics_student @ SV28 @ SV47 )
= $false )
| ( ( r3 @ SV8 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(259,plain,
! [SV29: mu,SV9: $i,SV48: $i] :
( ( ( ~ ( r2 @ SV48 @ ( sK12_SY106 @ SV9 @ SV29 @ SV48 ) ) )
= $false )
| ( ( physics_student @ SV29 @ SV48 )
= $false )
| ( ( r3 @ SV9 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(260,plain,
! [SV48: $i,SV9: $i,SV29: mu] :
( ( ( ~ ( good_in_physics @ SV29 @ ( sK12_SY106 @ SV9 @ SV29 @ SV48 ) ) )
= $false )
| ( ( physics_student @ SV29 @ SV48 )
= $false )
| ( ( r3 @ SV9 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(261,plain,
! [SV30: mu,SV10: $i,SV49: $i] :
( ( ( ~ ( r3 @ SV49 @ ( sK13_SY107 @ SV10 @ SV30 @ SV49 ) ) )
= $false )
| ( ( maths_student @ SV30 @ SV49 )
= $false )
| ( ( r3 @ SV10 @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(262,plain,
! [SV49: $i,SV10: $i,SV30: mu] :
( ( ( ~ ( good_in_maths @ SV30 @ ( sK13_SY107 @ SV10 @ SV30 @ SV49 ) ) )
= $false )
| ( ( maths_student @ SV30 @ SV49 )
= $false )
| ( ( r3 @ SV10 @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(263,plain,
! [SV32: mu,SV12: $i,SV50: $i] :
( ( ( r3 @ SV50 @ ( sK5_SY108 @ SV12 @ SV32 @ SV50 ) )
= $true )
| ( ( ! [SY109: $i] :
( ~ ( r3 @ SV50 @ SY109 )
| ( good_in_maths @ SV32 @ SY109 ) ) )
= $true )
| ( ( r5 @ SV12 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(264,plain,
! [SV12: $i,SV32: mu,SV62: $i,SV50: $i] :
( ( ( ~ ( r3 @ SV50 @ SV62 )
| ( good_in_maths @ SV32 @ SV62 ) )
= $true )
| ( ( mathematician @ SV32 @ ( sK5_SY108 @ SV12 @ SV32 @ SV50 ) )
= $false )
| ( ( r5 @ SV12 @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(265,plain,
! [SV34: mu,SV14: $i,SV51: $i] :
( ( ( ~ ( r4 @ SV51 @ ( sK14_SY110 @ SV14 @ SV34 @ SV51 ) ) )
= $false )
| ( ( maths_student @ SV34 @ SV51 )
= $false )
| ( ( r3 @ SV14 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(266,plain,
! [SV51: $i,SV14: $i,SV34: mu] :
( ( ( ~ ( good_in_maths @ SV34 @ ( sK14_SY110 @ SV14 @ SV34 @ SV51 ) ) )
= $false )
| ( ( maths_student @ SV34 @ SV51 )
= $false )
| ( ( r3 @ SV14 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(267,plain,
! [SV35: mu,SV15: $i,SV52: $i] :
( ( ( ~ ( r1 @ SV52 @ ( sK15_SY111 @ SV15 @ SV35 @ SV52 ) ) )
= $false )
| ( ( maths_student @ SV35 @ SV52 )
= $false )
| ( ( r3 @ SV15 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(268,plain,
! [SV52: $i,SV15: $i,SV35: mu] :
( ( ( ~ ( good_in_maths @ SV35 @ ( sK15_SY111 @ SV15 @ SV35 @ SV52 ) ) )
= $false )
| ( ( maths_student @ SV35 @ SV52 )
= $false )
| ( ( r3 @ SV15 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(269,plain,
! [SV36: mu,SV16: $i,SV53: $i] :
( ( ( ~ ( r3 @ SV53 @ ( sK16_SY112 @ SV16 @ SV36 @ SV53 ) ) )
= $false )
| ( ( physics_student @ SV36 @ SV53 )
= $false )
| ( ( r3 @ SV16 @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(270,plain,
! [SV53: $i,SV16: $i,SV36: mu] :
( ( ( ~ ( good_in_physics @ SV36 @ ( sK16_SY112 @ SV16 @ SV36 @ SV53 ) ) )
= $false )
| ( ( physics_student @ SV36 @ SV53 )
= $false )
| ( ( r3 @ SV16 @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(271,plain,
! [SV37: mu,SV17: $i,SV54: $i] :
( ( ( r2 @ SV54 @ ( sK6_SY113 @ SV17 @ SV37 @ SV54 ) )
= $true )
| ( ( ! [SY114: $i] :
( ~ ( r2 @ SV54 @ SY114 )
| ( good_in_maths @ SV37 @ SY114 ) ) )
= $true )
| ( ( r5 @ SV17 @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(272,plain,
! [SV17: $i,SV37: mu,SV63: $i,SV54: $i] :
( ( ( ~ ( r2 @ SV54 @ SV63 )
| ( good_in_maths @ SV37 @ SV63 ) )
= $true )
| ( ( mathematician @ SV37 @ ( sK6_SY113 @ SV17 @ SV37 @ SV54 ) )
= $false )
| ( ( r5 @ SV17 @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(273,plain,
! [SV38: mu,SV18: $i,SV55: $i] :
( ( ( r5 @ SV55 @ ( sK7_SY115 @ SV18 @ SV38 @ SV55 ) )
= $true )
| ( ( ! [SY116: $i] :
( ~ ( r5 @ SV55 @ SY116 )
| ( good_in_maths @ SV38 @ SY116 ) ) )
= $true )
| ( ( r5 @ SV18 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(274,plain,
! [SV18: $i,SV38: mu,SV64: $i,SV55: $i] :
( ( ( ~ ( r5 @ SV55 @ SV64 )
| ( good_in_maths @ SV38 @ SV64 ) )
= $true )
| ( ( mathematician @ SV38 @ ( sK7_SY115 @ SV18 @ SV38 @ SV55 ) )
= $false )
| ( ( r5 @ SV18 @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(275,plain,
! [SV39: mu,SV19: $i,SV56: $i] :
( ( ( ~ ( r5 @ SV56 @ ( sK17_SY117 @ SV19 @ SV39 @ SV56 ) ) )
= $false )
| ( ( physics_student @ SV39 @ SV56 )
= $false )
| ( ( r3 @ SV19 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(276,plain,
! [SV56: $i,SV19: $i,SV39: mu] :
( ( ( ~ ( good_in_physics @ SV39 @ ( sK17_SY117 @ SV19 @ SV39 @ SV56 ) ) )
= $false )
| ( ( physics_student @ SV39 @ SV56 )
= $false )
| ( ( r3 @ SV19 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(277,plain,
! [SV41: mu,SV21: $i,SV57: $i] :
( ( ( ~ ( r2 @ SV57 @ ( sK18_SY118 @ SV21 @ SV41 @ SV57 ) ) )
= $false )
| ( ( maths_student @ SV41 @ SV57 )
= $false )
| ( ( r3 @ SV21 @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(278,plain,
! [SV57: $i,SV21: $i,SV41: mu] :
( ( ( ~ ( good_in_maths @ SV41 @ ( sK18_SY118 @ SV21 @ SV41 @ SV57 ) ) )
= $false )
| ( ( maths_student @ SV41 @ SV57 )
= $false )
| ( ( r3 @ SV21 @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(279,plain,
! [SV2: $i,SV23: mu,SV65: $i,SV42: $i] :
( ( ( ~ ( r4 @ SV42 @ SV65 )
| ( good_in_maths @ SV23 @ SV65 ) )
= $true )
| ( ( r4 @ SV42 @ ( sK3_SY98 @ SV2 @ SV23 @ SV42 ) )
= $true )
| ( ( r5 @ SV2 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(280,plain,
! [SV2: $i,SV23: mu,SV60: $i,SV42: $i] :
( ( ( ~ ( r4 @ SV42 @ SV60 ) )
= $true )
| ( ( good_in_maths @ SV23 @ SV60 )
= $true )
| ( ( mathematician @ SV23 @ ( sK3_SY98 @ SV2 @ SV23 @ SV42 ) )
= $false )
| ( ( r5 @ SV2 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(281,plain,
! [SV24: mu,SV3: $i,SV43: $i] :
( ( ( r5 @ SV43 @ ( sK8_SY100 @ SV3 @ SV24 @ SV43 ) )
= $true )
| ( ( maths_student @ SV24 @ SV43 )
= $false )
| ( ( r3 @ SV3 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(282,plain,
! [SV43: $i,SV3: $i,SV24: mu] :
( ( ( good_in_maths @ SV24 @ ( sK8_SY100 @ SV3 @ SV24 @ SV43 ) )
= $true )
| ( ( maths_student @ SV24 @ SV43 )
= $false )
| ( ( r3 @ SV3 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(283,plain,
! [SV25: mu,SV4: $i,SV44: $i] :
( ( ( r4 @ SV44 @ ( sK9_SY101 @ SV4 @ SV25 @ SV44 ) )
= $true )
| ( ( physics_student @ SV25 @ SV44 )
= $false )
| ( ( r3 @ SV4 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(284,plain,
! [SV44: $i,SV4: $i,SV25: mu] :
( ( ( good_in_physics @ SV25 @ ( sK9_SY101 @ SV4 @ SV25 @ SV44 ) )
= $true )
| ( ( physics_student @ SV25 @ SV44 )
= $false )
| ( ( r3 @ SV4 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(285,plain,
! [SV6: $i,SV26: mu,SV66: $i,SV45: $i] :
( ( ( ~ ( r1 @ SV45 @ SV66 )
| ( good_in_maths @ SV26 @ SV66 ) )
= $true )
| ( ( r1 @ SV45 @ ( sK4_SY102 @ SV6 @ SV26 @ SV45 ) )
= $true )
| ( ( r5 @ SV6 @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(286,plain,
! [SV6: $i,SV26: mu,SV61: $i,SV45: $i] :
( ( ( ~ ( r1 @ SV45 @ SV61 ) )
= $true )
| ( ( good_in_maths @ SV26 @ SV61 )
= $true )
| ( ( mathematician @ SV26 @ ( sK4_SY102 @ SV6 @ SV26 @ SV45 ) )
= $false )
| ( ( r5 @ SV6 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(287,plain,
! [SV27: mu,SV7: $i,SV46: $i] :
( ( ( r2 @ SV46 @ ( sK10_SY104 @ SV7 @ SV27 @ SV46 ) )
= $true )
| ( ( good_in_physics @ SV27 @ SV46 )
= $false )
| ( ( r2 @ SV7 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(288,plain,
! [SV46: $i,SV7: $i,SV27: mu] :
( ( ( good_in_maths @ SV27 @ ( sK10_SY104 @ SV7 @ SV27 @ SV46 ) )
= $true )
| ( ( good_in_physics @ SV27 @ SV46 )
= $false )
| ( ( r2 @ SV7 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(289,plain,
! [SV28: mu,SV8: $i,SV47: $i] :
( ( ( r1 @ SV47 @ ( sK11_SY105 @ SV8 @ SV28 @ SV47 ) )
= $true )
| ( ( physics_student @ SV28 @ SV47 )
= $false )
| ( ( r3 @ SV8 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(290,plain,
! [SV47: $i,SV8: $i,SV28: mu] :
( ( ( good_in_physics @ SV28 @ ( sK11_SY105 @ SV8 @ SV28 @ SV47 ) )
= $true )
| ( ( physics_student @ SV28 @ SV47 )
= $false )
| ( ( r3 @ SV8 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(291,plain,
! [SV29: mu,SV9: $i,SV48: $i] :
( ( ( r2 @ SV48 @ ( sK12_SY106 @ SV9 @ SV29 @ SV48 ) )
= $true )
| ( ( physics_student @ SV29 @ SV48 )
= $false )
| ( ( r3 @ SV9 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(292,plain,
! [SV48: $i,SV9: $i,SV29: mu] :
( ( ( good_in_physics @ SV29 @ ( sK12_SY106 @ SV9 @ SV29 @ SV48 ) )
= $true )
| ( ( physics_student @ SV29 @ SV48 )
= $false )
| ( ( r3 @ SV9 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(293,plain,
! [SV30: mu,SV10: $i,SV49: $i] :
( ( ( r3 @ SV49 @ ( sK13_SY107 @ SV10 @ SV30 @ SV49 ) )
= $true )
| ( ( maths_student @ SV30 @ SV49 )
= $false )
| ( ( r3 @ SV10 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(294,plain,
! [SV49: $i,SV10: $i,SV30: mu] :
( ( ( good_in_maths @ SV30 @ ( sK13_SY107 @ SV10 @ SV30 @ SV49 ) )
= $true )
| ( ( maths_student @ SV30 @ SV49 )
= $false )
| ( ( r3 @ SV10 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(295,plain,
! [SV12: $i,SV32: mu,SV67: $i,SV50: $i] :
( ( ( ~ ( r3 @ SV50 @ SV67 )
| ( good_in_maths @ SV32 @ SV67 ) )
= $true )
| ( ( r3 @ SV50 @ ( sK5_SY108 @ SV12 @ SV32 @ SV50 ) )
= $true )
| ( ( r5 @ SV12 @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(296,plain,
! [SV12: $i,SV32: mu,SV62: $i,SV50: $i] :
( ( ( ~ ( r3 @ SV50 @ SV62 ) )
= $true )
| ( ( good_in_maths @ SV32 @ SV62 )
= $true )
| ( ( mathematician @ SV32 @ ( sK5_SY108 @ SV12 @ SV32 @ SV50 ) )
= $false )
| ( ( r5 @ SV12 @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(297,plain,
! [SV34: mu,SV14: $i,SV51: $i] :
( ( ( r4 @ SV51 @ ( sK14_SY110 @ SV14 @ SV34 @ SV51 ) )
= $true )
| ( ( maths_student @ SV34 @ SV51 )
= $false )
| ( ( r3 @ SV14 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(298,plain,
! [SV51: $i,SV14: $i,SV34: mu] :
( ( ( good_in_maths @ SV34 @ ( sK14_SY110 @ SV14 @ SV34 @ SV51 ) )
= $true )
| ( ( maths_student @ SV34 @ SV51 )
= $false )
| ( ( r3 @ SV14 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(299,plain,
! [SV35: mu,SV15: $i,SV52: $i] :
( ( ( r1 @ SV52 @ ( sK15_SY111 @ SV15 @ SV35 @ SV52 ) )
= $true )
| ( ( maths_student @ SV35 @ SV52 )
= $false )
| ( ( r3 @ SV15 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(300,plain,
! [SV52: $i,SV15: $i,SV35: mu] :
( ( ( good_in_maths @ SV35 @ ( sK15_SY111 @ SV15 @ SV35 @ SV52 ) )
= $true )
| ( ( maths_student @ SV35 @ SV52 )
= $false )
| ( ( r3 @ SV15 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(301,plain,
! [SV36: mu,SV16: $i,SV53: $i] :
( ( ( r3 @ SV53 @ ( sK16_SY112 @ SV16 @ SV36 @ SV53 ) )
= $true )
| ( ( physics_student @ SV36 @ SV53 )
= $false )
| ( ( r3 @ SV16 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(302,plain,
! [SV53: $i,SV16: $i,SV36: mu] :
( ( ( good_in_physics @ SV36 @ ( sK16_SY112 @ SV16 @ SV36 @ SV53 ) )
= $true )
| ( ( physics_student @ SV36 @ SV53 )
= $false )
| ( ( r3 @ SV16 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(303,plain,
! [SV17: $i,SV37: mu,SV68: $i,SV54: $i] :
( ( ( ~ ( r2 @ SV54 @ SV68 )
| ( good_in_maths @ SV37 @ SV68 ) )
= $true )
| ( ( r2 @ SV54 @ ( sK6_SY113 @ SV17 @ SV37 @ SV54 ) )
= $true )
| ( ( r5 @ SV17 @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(304,plain,
! [SV17: $i,SV37: mu,SV63: $i,SV54: $i] :
( ( ( ~ ( r2 @ SV54 @ SV63 ) )
= $true )
| ( ( good_in_maths @ SV37 @ SV63 )
= $true )
| ( ( mathematician @ SV37 @ ( sK6_SY113 @ SV17 @ SV37 @ SV54 ) )
= $false )
| ( ( r5 @ SV17 @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(305,plain,
! [SV18: $i,SV38: mu,SV69: $i,SV55: $i] :
( ( ( ~ ( r5 @ SV55 @ SV69 )
| ( good_in_maths @ SV38 @ SV69 ) )
= $true )
| ( ( r5 @ SV55 @ ( sK7_SY115 @ SV18 @ SV38 @ SV55 ) )
= $true )
| ( ( r5 @ SV18 @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(306,plain,
! [SV18: $i,SV38: mu,SV64: $i,SV55: $i] :
( ( ( ~ ( r5 @ SV55 @ SV64 ) )
= $true )
| ( ( good_in_maths @ SV38 @ SV64 )
= $true )
| ( ( mathematician @ SV38 @ ( sK7_SY115 @ SV18 @ SV38 @ SV55 ) )
= $false )
| ( ( r5 @ SV18 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(307,plain,
! [SV39: mu,SV19: $i,SV56: $i] :
( ( ( r5 @ SV56 @ ( sK17_SY117 @ SV19 @ SV39 @ SV56 ) )
= $true )
| ( ( physics_student @ SV39 @ SV56 )
= $false )
| ( ( r3 @ SV19 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(308,plain,
! [SV56: $i,SV19: $i,SV39: mu] :
( ( ( good_in_physics @ SV39 @ ( sK17_SY117 @ SV19 @ SV39 @ SV56 ) )
= $true )
| ( ( physics_student @ SV39 @ SV56 )
= $false )
| ( ( r3 @ SV19 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(309,plain,
! [SV41: mu,SV21: $i,SV57: $i] :
( ( ( r2 @ SV57 @ ( sK18_SY118 @ SV21 @ SV41 @ SV57 ) )
= $true )
| ( ( maths_student @ SV41 @ SV57 )
= $false )
| ( ( r3 @ SV21 @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(310,plain,
! [SV57: $i,SV21: $i,SV41: mu] :
( ( ( good_in_maths @ SV41 @ ( sK18_SY118 @ SV21 @ SV41 @ SV57 ) )
= $true )
| ( ( maths_student @ SV41 @ SV57 )
= $false )
| ( ( r3 @ SV21 @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(311,plain,
! [SV2: $i,SV23: mu,SV65: $i,SV42: $i] :
( ( ( ~ ( r4 @ SV42 @ SV65 ) )
= $true )
| ( ( good_in_maths @ SV23 @ SV65 )
= $true )
| ( ( r4 @ SV42 @ ( sK3_SY98 @ SV2 @ SV23 @ SV42 ) )
= $true )
| ( ( r5 @ SV2 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(312,plain,
! [SV2: $i,SV23: mu,SV60: $i,SV42: $i] :
( ( ( r4 @ SV42 @ SV60 )
= $false )
| ( ( good_in_maths @ SV23 @ SV60 )
= $true )
| ( ( mathematician @ SV23 @ ( sK3_SY98 @ SV2 @ SV23 @ SV42 ) )
= $false )
| ( ( r5 @ SV2 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(313,plain,
! [SV6: $i,SV26: mu,SV66: $i,SV45: $i] :
( ( ( ~ ( r1 @ SV45 @ SV66 ) )
= $true )
| ( ( good_in_maths @ SV26 @ SV66 )
= $true )
| ( ( r1 @ SV45 @ ( sK4_SY102 @ SV6 @ SV26 @ SV45 ) )
= $true )
| ( ( r5 @ SV6 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(314,plain,
! [SV6: $i,SV26: mu,SV61: $i,SV45: $i] :
( ( ( r1 @ SV45 @ SV61 )
= $false )
| ( ( good_in_maths @ SV26 @ SV61 )
= $true )
| ( ( mathematician @ SV26 @ ( sK4_SY102 @ SV6 @ SV26 @ SV45 ) )
= $false )
| ( ( r5 @ SV6 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(315,plain,
! [SV12: $i,SV32: mu,SV67: $i,SV50: $i] :
( ( ( ~ ( r3 @ SV50 @ SV67 ) )
= $true )
| ( ( good_in_maths @ SV32 @ SV67 )
= $true )
| ( ( r3 @ SV50 @ ( sK5_SY108 @ SV12 @ SV32 @ SV50 ) )
= $true )
| ( ( r5 @ SV12 @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(316,plain,
! [SV12: $i,SV32: mu,SV62: $i,SV50: $i] :
( ( ( r3 @ SV50 @ SV62 )
= $false )
| ( ( good_in_maths @ SV32 @ SV62 )
= $true )
| ( ( mathematician @ SV32 @ ( sK5_SY108 @ SV12 @ SV32 @ SV50 ) )
= $false )
| ( ( r5 @ SV12 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(317,plain,
! [SV17: $i,SV37: mu,SV68: $i,SV54: $i] :
( ( ( ~ ( r2 @ SV54 @ SV68 ) )
= $true )
| ( ( good_in_maths @ SV37 @ SV68 )
= $true )
| ( ( r2 @ SV54 @ ( sK6_SY113 @ SV17 @ SV37 @ SV54 ) )
= $true )
| ( ( r5 @ SV17 @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(318,plain,
! [SV17: $i,SV37: mu,SV63: $i,SV54: $i] :
( ( ( r2 @ SV54 @ SV63 )
= $false )
| ( ( good_in_maths @ SV37 @ SV63 )
= $true )
| ( ( mathematician @ SV37 @ ( sK6_SY113 @ SV17 @ SV37 @ SV54 ) )
= $false )
| ( ( r5 @ SV17 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(319,plain,
! [SV18: $i,SV38: mu,SV69: $i,SV55: $i] :
( ( ( ~ ( r5 @ SV55 @ SV69 ) )
= $true )
| ( ( good_in_maths @ SV38 @ SV69 )
= $true )
| ( ( r5 @ SV55 @ ( sK7_SY115 @ SV18 @ SV38 @ SV55 ) )
= $true )
| ( ( r5 @ SV18 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(320,plain,
! [SV18: $i,SV38: mu,SV64: $i,SV55: $i] :
( ( ( r5 @ SV55 @ SV64 )
= $false )
| ( ( good_in_maths @ SV38 @ SV64 )
= $true )
| ( ( mathematician @ SV38 @ ( sK7_SY115 @ SV18 @ SV38 @ SV55 ) )
= $false )
| ( ( r5 @ SV18 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(321,plain,
! [SV2: $i,SV23: mu,SV65: $i,SV42: $i] :
( ( ( r4 @ SV42 @ SV65 )
= $false )
| ( ( good_in_maths @ SV23 @ SV65 )
= $true )
| ( ( r4 @ SV42 @ ( sK3_SY98 @ SV2 @ SV23 @ SV42 ) )
= $true )
| ( ( r5 @ SV2 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(322,plain,
! [SV6: $i,SV26: mu,SV66: $i,SV45: $i] :
( ( ( r1 @ SV45 @ SV66 )
= $false )
| ( ( good_in_maths @ SV26 @ SV66 )
= $true )
| ( ( r1 @ SV45 @ ( sK4_SY102 @ SV6 @ SV26 @ SV45 ) )
= $true )
| ( ( r5 @ SV6 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(323,plain,
! [SV12: $i,SV32: mu,SV67: $i,SV50: $i] :
( ( ( r3 @ SV50 @ SV67 )
= $false )
| ( ( good_in_maths @ SV32 @ SV67 )
= $true )
| ( ( r3 @ SV50 @ ( sK5_SY108 @ SV12 @ SV32 @ SV50 ) )
= $true )
| ( ( r5 @ SV12 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(324,plain,
! [SV17: $i,SV37: mu,SV68: $i,SV54: $i] :
( ( ( r2 @ SV54 @ SV68 )
= $false )
| ( ( good_in_maths @ SV37 @ SV68 )
= $true )
| ( ( r2 @ SV54 @ ( sK6_SY113 @ SV17 @ SV37 @ SV54 ) )
= $true )
| ( ( r5 @ SV17 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(325,plain,
! [SV18: $i,SV38: mu,SV69: $i,SV55: $i] :
( ( ( r5 @ SV55 @ SV69 )
= $false )
| ( ( good_in_maths @ SV38 @ SV69 )
= $true )
| ( ( r5 @ SV55 @ ( sK7_SY115 @ SV18 @ SV38 @ SV55 ) )
= $true )
| ( ( r5 @ SV18 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(326,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[74,325,324,323,322,321,320,318,316,314,312,310,309,308,307,302,301,300,299,298,297,294,293,292,291,290,289,288,287,284,283,282,281,212,207,194,145,143,133]) ).
thf(327,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : AGT028^2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 4 06:22:58 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.37
% 0.14/0.37 No.of.Axioms: 21
% 0.14/0.37
% 0.14/0.37 Length.of.Defs: 5293
% 0.14/0.37
% 0.14/0.37 Contains.Choice.Funs: false
% 0.14/0.38 (rf:0,axioms:21,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:23,loop_count:0,foatp_calls:0,translation:fof_full)..................
% 0.20/0.55
% 0.20/0.55 ********************************
% 0.20/0.55 * All subproblems solved! *
% 0.20/0.55 ********************************
% 0.20/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:21,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:326,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.58
% 0.20/0.58 %**** Beginning of derivation protocol ****
% 0.20/0.58 % SZS output start CNFRefutation
% See solution above
% 0.20/0.59
% 0.20/0.59 %**** End of derivation protocol ****
% 0.20/0.59 %**** no. of clauses in derivation: 327 ****
% 0.20/0.59 %**** clause counter: 326 ****
% 0.20/0.59
% 0.20/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:21,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:326,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------