%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : DAT334^8 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:16:49 AM UTC 2026
% Result : Theorem 0.07s 0.23s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 72 ( 42 unt; 0 typ; 10 def)
% Number of atoms : 362 ( 95 equ; 0 cnn)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 708 ( 179 ~; 75 |; 16 &; 430 @)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 23 usr; 10 con; 0-3 aty)
% Number of variables : 105 ( 26 ^; 67 !; 12 ?; 105 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_cs,type,
cs: $i ).
thf(tp_eiw_di,type,
eiw_di: $i > mworld > $o ).
thf(tp_john,type,
john: $i ).
thf(tp_mactual,type,
mactual: mworld ).
thf(tp_mand,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mary,type,
mary: $i ).
thf(tp_math,type,
math: $i ).
thf(tp_mbox,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(tp_mdia,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(tp_mequiv,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mexists_di,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mforall_di,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mimplies,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mlocal,type,
mlocal: ( mworld > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(tp_mor,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mrel,type,
mrel: mworld > mworld > $o ).
thf(tp_psych,type,
psych: $i ).
thf(tp_sK1_SY6,type,
sK1_SY6: mworld ).
thf(tp_sK2_SY36,type,
sK2_SY36: mworld > $i ).
thf(tp_sK3_SY37,type,
sK3_SY37: mworld > $i ).
thf(tp_sue,type,
sue: $i ).
thf(tp_teach,type,
teach: $i > $i > mworld > $o ).
thf(mand,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_def) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv_def) ).
thf(mexists_di,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( eiw_di @ X @ W )
& ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def) ).
thf(mforall_di,definition,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor_def) ).
thf(1,axiom,
( mlocal
@ ( mbox
@ ( mand @ ( teach @ john @ math )
@ ( mand
@ ( mexists_di
@ ^ [X: $i] : ( teach @ X @ cs ) )
@ ( mand @ ( teach @ mary @ psych ) @ ( teach @ sue @ psych ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',db) ).
thf(2,axiom,
! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_nonempty) ).
thf(3,axiom,
! [W: mworld] : ( mrel @ W @ W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(4,conjecture,
( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [X: $i] : ( teach @ X @ cs ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query) ).
thf(5,negated_conjecture,
( ( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [X: $i] : ( teach @ X @ cs ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ! [SY6: mworld] :
( ( mrel @ mactual @ SY6 )
=> ? [SY5: $i] :
( ( eiw_di @ SY5 @ SY6 )
& ( teach @ SY5 @ cs @ SY6 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[5,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(7,plain,
( ( ! [SY28: mworld] :
( ( mrel @ mactual @ SY28 )
=> ( ( teach @ john @ math @ SY28 )
& ? [SY27: $i] :
( ( eiw_di @ SY27 @ SY28 )
& ( teach @ SY27 @ cs @ SY28 ) )
& ( teach @ mary @ psych @ SY28 )
& ( teach @ sue @ psych @ SY28 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(8,plain,
( ( ! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ) )
= $true ),
inference(unfold_def,[status(thm)],[2,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(9,plain,
( ( ! [W: mworld] : ( mrel @ W @ W ) )
= $true ),
inference(unfold_def,[status(thm)],[3,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(10,plain,
( ( ( mrel @ mactual @ sK1_SY6 )
=> ? [SY35: $i] :
( ( eiw_di @ SY35 @ sK1_SY6 )
& ( teach @ SY35 @ cs @ sK1_SY6 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(11,plain,
( ( mrel @ mactual @ sK1_SY6 )
= $true ),
inference(standard_cnf,[status(thm)],[10]) ).
thf(12,plain,
( ( ? [SY35: $i] :
( ( eiw_di @ SY35 @ sK1_SY6 )
& ( teach @ SY35 @ cs @ sK1_SY6 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ? [SY35: $i] :
( ( eiw_di @ SY35 @ sK1_SY6 )
& ( teach @ SY35 @ cs @ sK1_SY6 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [W: mworld] : ( mrel @ W @ W ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(15,plain,
( ( ! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(16,plain,
( ( ! [SY28: mworld] :
( ( mrel @ mactual @ SY28 )
=> ( ( teach @ john @ math @ SY28 )
& ? [SY27: $i] :
( ( eiw_di @ SY27 @ SY28 )
& ( teach @ SY27 @ cs @ SY28 ) )
& ( teach @ mary @ psych @ SY28 )
& ( teach @ sue @ psych @ SY28 ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(17,plain,
( ( mrel @ mactual @ sK1_SY6 )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(18,plain,
( ( ~ ? [SY35: $i] :
( ( eiw_di @ SY35 @ sK1_SY6 )
& ( teach @ SY35 @ cs @ sK1_SY6 ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(19,plain,
( ( ! [SX0: mworld] :
~ ! [SX1: $i] :
~ ( eiw_di @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[15,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(20,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( ~ ( teach @ john @ math @ SX0 )
| ~ ~ ( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ( teach @ SX1 @ cs @ SX0 ) )
| ~ ~ ( ~ ( teach @ mary @ psych @ SX0 )
| ~ ( teach @ sue @ psych @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(21,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ sK1_SY6 )
| ~ ( teach @ SX0 @ cs @ sK1_SY6 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(22,plain,
! [SV1: mworld] :
( ( mrel @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(23,plain,
! [SV2: mworld] :
( ( ~ ! [SY36: $i] :
~ ( eiw_di @ SY36 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV3: mworld] :
( ( ~ ( mrel @ mactual @ SV3 )
| ~ ( ~ ( teach @ john @ math @ SV3 )
| ~ ~ ( ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( eiw_di @ SY37 @ SV3 )
| ~ ( teach @ SY37 @ cs @ SV3 ) )
| ~ ~ ( ~ ( teach @ mary @ psych @ SV3 )
| ~ ( teach @ sue @ psych @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ sK1_SY6 )
| ~ ( teach @ SX0 @ cs @ sK1_SY6 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV2: mworld] :
( ( ! [SY36: $i] :
~ ( eiw_di @ SY36 @ SV2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV3: mworld] :
( ( ( ~ ( mrel @ mactual @ SV3 ) )
= $true )
| ( ( ~ ( ~ ( teach @ john @ math @ SV3 )
| ~ ~ ( ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( eiw_di @ SY37 @ SV3 )
| ~ ( teach @ SY37 @ cs @ SV3 ) )
| ~ ~ ( ~ ( teach @ mary @ psych @ SV3 )
| ~ ( teach @ sue @ psych @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ sK1_SY6 )
| ~ ( teach @ SX0 @ cs @ sK1_SY6 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
! [SV2: mworld] :
( ( ~ ( eiw_di @ ( sK2_SY36 @ SV2 ) @ SV2 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[26]) ).
thf(30,plain,
! [SV3: mworld] :
( ( ( mrel @ mactual @ SV3 )
= $false )
| ( ( ~ ( ~ ( teach @ john @ math @ SV3 )
| ~ ~ ( ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( eiw_di @ SY37 @ SV3 )
| ~ ( teach @ SY37 @ cs @ SV3 ) )
| ~ ~ ( ~ ( teach @ mary @ psych @ SV3 )
| ~ ( teach @ sue @ psych @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ( eiw_di @ SV4 @ sK1_SY6 )
| ~ ( teach @ SV4 @ cs @ sK1_SY6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV2: mworld] :
( ( eiw_di @ ( sK2_SY36 @ SV2 ) @ SV2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV3: mworld] :
( ( ( ~ ( teach @ john @ math @ SV3 )
| ~ ~ ( ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( eiw_di @ SY37 @ SV3 )
| ~ ( teach @ SY37 @ cs @ SV3 ) )
| ~ ~ ( ~ ( teach @ mary @ psych @ SV3 )
| ~ ( teach @ sue @ psych @ SV3 ) ) ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV4: $i] :
( ( ~ ( ~ ( eiw_di @ SV4 @ sK1_SY6 )
| ~ ( teach @ SV4 @ cs @ sK1_SY6 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV3: mworld] :
( ( ( ~ ( teach @ john @ math @ SV3 ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(36,plain,
! [SV3: mworld] :
( ( ( ~ ~ ( ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( eiw_di @ SY37 @ SV3 )
| ~ ( teach @ SY37 @ cs @ SV3 ) )
| ~ ~ ( ~ ( teach @ mary @ psych @ SV3 )
| ~ ( teach @ sue @ psych @ SV3 ) ) ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(37,plain,
! [SV4: $i] :
( ( ~ ( eiw_di @ SV4 @ sK1_SY6 )
| ~ ( teach @ SV4 @ cs @ sK1_SY6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(38,plain,
! [SV3: mworld] :
( ( ( teach @ john @ math @ SV3 )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(39,plain,
! [SV3: mworld] :
( ( ( ~ ( ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( eiw_di @ SY37 @ SV3 )
| ~ ( teach @ SY37 @ cs @ SV3 ) )
| ~ ~ ( ~ ( teach @ mary @ psych @ SV3 )
| ~ ( teach @ sue @ psych @ SV3 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(40,plain,
! [SV4: $i] :
( ( ( ~ ( eiw_di @ SV4 @ sK1_SY6 ) )
= $true )
| ( ( ~ ( teach @ SV4 @ cs @ sK1_SY6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV3: mworld] :
( ( ( ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( eiw_di @ SY37 @ SV3 )
| ~ ( teach @ SY37 @ cs @ SV3 ) )
| ~ ~ ( ~ ( teach @ mary @ psych @ SV3 )
| ~ ( teach @ sue @ psych @ SV3 ) ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV4: $i] :
( ( ( eiw_di @ SV4 @ sK1_SY6 )
= $false )
| ( ( ~ ( teach @ SV4 @ cs @ sK1_SY6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV3: mworld] :
( ( ( ~ ~ ! [SY37: $i] :
~ ~ ( ~ ( eiw_di @ SY37 @ SV3 )
| ~ ( teach @ SY37 @ cs @ SV3 ) ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(44,plain,
! [SV3: mworld] :
( ( ( ~ ~ ( ~ ( teach @ mary @ psych @ SV3 )
| ~ ( teach @ sue @ psych @ SV3 ) ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(45,plain,
! [SV4: $i] :
( ( ( teach @ SV4 @ cs @ sK1_SY6 )
= $false )
| ( ( eiw_di @ SV4 @ sK1_SY6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(46,plain,
! [SV3: mworld] :
( ( ( ~ ! [SY37: $i] :
~ ~ ( ~ ( eiw_di @ SY37 @ SV3 )
| ~ ( teach @ SY37 @ cs @ SV3 ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(47,plain,
! [SV3: mworld] :
( ( ( ~ ( ~ ( teach @ mary @ psych @ SV3 )
| ~ ( teach @ sue @ psych @ SV3 ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(48,plain,
! [SV3: mworld] :
( ( ( ! [SY37: $i] :
~ ~ ( ~ ( eiw_di @ SY37 @ SV3 )
| ~ ( teach @ SY37 @ cs @ SV3 ) ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV3: mworld] :
( ( ( ~ ( teach @ mary @ psych @ SV3 )
| ~ ( teach @ sue @ psych @ SV3 ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV3: mworld] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK3_SY37 @ SV3 ) @ SV3 )
| ~ ( teach @ ( sK3_SY37 @ SV3 ) @ cs @ SV3 ) ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[48]) ).
thf(51,plain,
! [SV3: mworld] :
( ( ( ~ ( teach @ mary @ psych @ SV3 ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(52,plain,
! [SV3: mworld] :
( ( ( ~ ( teach @ sue @ psych @ SV3 ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(53,plain,
! [SV3: mworld] :
( ( ( ~ ( ~ ( eiw_di @ ( sK3_SY37 @ SV3 ) @ SV3 )
| ~ ( teach @ ( sK3_SY37 @ SV3 ) @ cs @ SV3 ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(54,plain,
! [SV3: mworld] :
( ( ( teach @ mary @ psych @ SV3 )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(55,plain,
! [SV3: mworld] :
( ( ( teach @ sue @ psych @ SV3 )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(56,plain,
! [SV3: mworld] :
( ( ( ~ ( eiw_di @ ( sK3_SY37 @ SV3 ) @ SV3 )
| ~ ( teach @ ( sK3_SY37 @ SV3 ) @ cs @ SV3 ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV3: mworld] :
( ( ( ~ ( eiw_di @ ( sK3_SY37 @ SV3 ) @ SV3 ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(58,plain,
! [SV3: mworld] :
( ( ( ~ ( teach @ ( sK3_SY37 @ SV3 ) @ cs @ SV3 ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(59,plain,
! [SV3: mworld] :
( ( ( eiw_di @ ( sK3_SY37 @ SV3 ) @ SV3 )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(60,plain,
! [SV3: mworld] :
( ( ( teach @ ( sK3_SY37 @ SV3 ) @ cs @ SV3 )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(61,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[17,60,59,55,54,45,38,32,22]) ).
thf(62,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT334^8 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n002.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 19:05:42 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.23
% 0.07/0.23 No.of.Axioms: 3
% 0.07/0.23
% 0.07/0.23 Length.of.Defs: 1653
% 0.07/0.23
% 0.07/0.23 Contains.Choice.Funs: false
% 0.07/0.23 .
% 0.07/0.23
% 0.07/0.23 ********************************
% 0.07/0.23 * All subproblems solved! *
% 0.07/0.23 ********************************
% 0.07/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:61,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.23
% 0.07/0.23 %**** Beginning of derivation protocol ****
% 0.07/0.23 % SZS output start CNFRefutation
% See solution above
% 0.07/0.23
% 0.07/0.23 %**** End of derivation protocol ****
% 0.07/0.23 %**** no. of clauses in derivation: 62 ****
% 0.07/0.23 %**** clause counter: 61 ****
% 0.07/0.23
% 0.07/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:61,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------