TSTP Solution File: LCL623^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL623^1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:24:30 EDT 2022
% Result : Theorem 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 43
% Syntax : Number of formulae : 93 ( 36 unt; 26 typ; 15 def)
% Number of atoms : 417 ( 110 equ; 0 cnn)
% Maximal formula atoms : 9 ( 6 avg)
% Number of connectives : 626 ( 95 ~; 124 |; 2 &; 404 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 114 ( 114 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 5 con; 0-3 aty)
% Number of variables : 162 ( 28 ^ 130 !; 4 ?; 162 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_individuals,type,
individuals: $tType ).
thf(tp_current_world,type,
current_world: $i ).
thf(tp_mall,type,
mall: ( individuals > $i > $o ) > $i > $o ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mcountersatisfiable,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(tp_mdia,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mexists,type,
mexists: ( individuals > $i > $o ) > $i > $o ).
thf(tp_mfalse,type,
mfalse: $i > $o ).
thf(tp_miff,type,
miff: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mimpl,type,
mimpl: ( $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_msatisfiable,type,
msatisfiable: ( $i > $o ) > $o ).
thf(tp_mtrue,type,
mtrue: $i > $o ).
thf(tp_mvalid,type,
mvalid: ( $i > $o ) > $o ).
thf(tp_prop_a,type,
prop_a: $i > $o ).
thf(tp_prop_b,type,
prop_b: $i > $o ).
thf(tp_prop_c,type,
prop_c: $i > $o ).
thf(tp_r,type,
r: $i > $i > $o ).
thf(tp_sK1_P,type,
sK1_P: $i > $o ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SY9,type,
sK3_SY9: $i ).
thf(tp_sK4_SY4,type,
sK4_SY4: ( $i > $o ) > $i > $i ).
thf(tp_sK5_SY11,type,
sK5_SY11: $i > $i ).
thf(mall,definition,
( mall
= ( ^ [P: individuals > $i > $o,W: $i] :
! [X: individuals] : ( P @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mall) ).
thf(mand,definition,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [P: $i > $o] :
? [W: $i] :
~ ( P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mcountersatisfiable) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
? [Y: $i] :
( ( R @ X @ Y )
& ( P @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(mexists,definition,
( mexists
= ( ^ [P: individuals > $i > $o,W: $i] :
? [X: individuals] : ( P @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists) ).
thf(mfalse,definition,
( mfalse
= ( ^ [X: $i] : $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse) ).
thf(miff,definition,
( miff
= ( ^ [U: $i > $o,V: $i > $o] : ( mand @ ( mimpl @ U @ V ) @ ( mimpl @ V @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',miff) ).
thf(mimpl,definition,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimpl) ).
thf(minvalid,definition,
( minvalid
= ( ^ [P: $i > $o] :
! [W: $i] :
~ ( P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [P: $i > $o] :
? [W: $i] : ( P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msatisfiable) ).
thf(mtrue,definition,
( mtrue
= ( ^ [X: $i] : $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid) ).
thf(1,axiom,
! [X: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ X ) @ X ) ) @ ( mbox @ r @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gl) ).
thf(2,conjecture,
! [P: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ P ) @ P ) ) @ ( mbox @ r @ P ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',loeb) ).
thf(3,negated_conjecture,
( ( ! [P: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ P ) @ P ) ) @ ( mbox @ r @ P ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ sK1_P ) @ sK1_P ) ) @ ( mbox @ r @ sK1_P ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ~ ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ sK1_P ) @ sK1_P ) ) @ ( mbox @ r @ sK1_P ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [X: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ X ) @ X ) ) @ ( mbox @ r @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(7,plain,
( ( ~ ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ sK1_P ) @ sK1_P ) ) @ ( mbox @ r @ sK1_P ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [SX0: $i > $o,SX1: $i] :
( ~ ! [SX2: $i] :
( ~ ( r @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r @ SX2 @ SX3 )
| ( SX0 @ SX3 ) )
| ( SX0 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r @ SX1 @ SX2 )
| ( SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(9,plain,
( ( ~ ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( r @ SX1 @ SX2 )
| ( sK1_P @ SX2 ) )
| ( sK1_P @ SX1 ) )
| ! [SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( sK1_P @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(10,plain,
! [SV1: $i > $o] :
( ( ! [SY0: $i] :
( ~ ! [SY1: $i] :
( ~ ( r @ SY0 @ SY1 )
| ~ ! [SY2: $i] :
( ~ ( r @ SY1 @ SY2 )
| ( SV1 @ SY2 ) )
| ( SV1 @ SY1 ) )
| ! [SY3: $i] :
( ~ ( r @ SY0 @ SY3 )
| ( SV1 @ SY3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(11,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( r @ SX1 @ SX2 )
| ( sK1_P @ SX2 ) )
| ( sK1_P @ SX1 ) )
| ! [SX1: $i] :
( ~ ( r @ SX0 @ SX1 )
| ( sK1_P @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(12,plain,
! [SV1: $i > $o,SV2: $i] :
( ( ~ ! [SY4: $i] :
( ~ ( r @ SV2 @ SY4 )
| ~ ! [SY2: $i] :
( ~ ( r @ SY4 @ SY2 )
| ( SV1 @ SY2 ) )
| ( SV1 @ SY4 ) )
| ! [SY6: $i] :
( ~ ( r @ SV2 @ SY6 )
| ( SV1 @ SY6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ! [SY7: $i] :
( ~ ( r @ sK2_SX0 @ SY7 )
| ~ ! [SX2: $i] :
( ~ ( r @ SY7 @ SX2 )
| ( sK1_P @ SX2 ) )
| ( sK1_P @ SY7 ) )
| ! [SY9: $i] :
( ~ ( r @ sK2_SX0 @ SY9 )
| ( sK1_P @ SY9 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(14,plain,
! [SV1: $i > $o,SV2: $i] :
( ( ( ~ ! [SY4: $i] :
( ~ ( r @ SV2 @ SY4 )
| ~ ! [SY2: $i] :
( ~ ( r @ SY4 @ SY2 )
| ( SV1 @ SY2 ) )
| ( SV1 @ SY4 ) ) )
= $true )
| ( ( ! [SY6: $i] :
( ~ ( r @ SV2 @ SY6 )
| ( SV1 @ SY6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ! [SY7: $i] :
( ~ ( r @ sK2_SX0 @ SY7 )
| ~ ! [SX2: $i] :
( ~ ( r @ SY7 @ SX2 )
| ( sK1_P @ SX2 ) )
| ( sK1_P @ SY7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ! [SY9: $i] :
( ~ ( r @ sK2_SX0 @ SY9 )
| ( sK1_P @ SY9 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
! [SV1: $i > $o,SV2: $i] :
( ( ( ! [SY4: $i] :
( ~ ( r @ SV2 @ SY4 )
| ~ ! [SY2: $i] :
( ~ ( r @ SY4 @ SY2 )
| ( SV1 @ SY2 ) )
| ( SV1 @ SY4 ) ) )
= $false )
| ( ( ! [SY6: $i] :
( ~ ( r @ SV2 @ SY6 )
| ( SV1 @ SY6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( ! [SY7: $i] :
( ~ ( r @ sK2_SX0 @ SY7 )
| ~ ! [SX2: $i] :
( ~ ( r @ SY7 @ SX2 )
| ( sK1_P @ SX2 ) )
| ( sK1_P @ SY7 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( r @ sK2_SX0 @ sK3_SY9 )
| ( sK1_P @ sK3_SY9 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[16]) ).
thf(20,plain,
! [SV1: $i > $o,SV2: $i] :
( ( ( ~ ( r @ SV2 @ ( sK4_SY4 @ SV1 @ SV2 ) )
| ~ ! [SY10: $i] :
( ~ ( r @ ( sK4_SY4 @ SV1 @ SV2 ) @ SY10 )
| ( SV1 @ SY10 ) )
| ( SV1 @ ( sK4_SY4 @ SV1 @ SV2 ) ) )
= $false )
| ( ( ! [SY6: $i] :
( ~ ( r @ SV2 @ SY6 )
| ( SV1 @ SY6 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[17]) ).
thf(21,plain,
! [SV3: $i] :
( ( ~ ( r @ sK2_SX0 @ SV3 )
| ~ ! [SY11: $i] :
( ~ ( r @ SV3 @ SY11 )
| ( sK1_P @ SY11 ) )
| ( sK1_P @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ( r @ sK2_SX0 @ sK3_SY9 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( sK1_P @ sK3_SY9 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(24,plain,
! [SV1: $i > $o,SV2: $i] :
( ( ( ~ ( r @ SV2 @ ( sK4_SY4 @ SV1 @ SV2 ) ) )
= $false )
| ( ( ! [SY6: $i] :
( ~ ( r @ SV2 @ SY6 )
| ( SV1 @ SY6 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ! [SY10: $i] :
( ~ ( r @ ( sK4_SY4 @ SV1 @ SV2 ) @ SY10 )
| ( SV1 @ SY10 ) )
| ( SV1 @ ( sK4_SY4 @ SV1 @ SV2 ) ) )
= $false )
| ( ( ! [SY6: $i] :
( ~ ( r @ SV2 @ SY6 )
| ( SV1 @ SY6 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(26,plain,
! [SV3: $i] :
( ( ( ~ ( r @ sK2_SX0 @ SV3 ) )
= $true )
| ( ( ~ ! [SY11: $i] :
( ~ ( r @ SV3 @ SY11 )
| ( sK1_P @ SY11 ) )
| ( sK1_P @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(27,plain,
( ( r @ sK2_SX0 @ sK3_SY9 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(28,plain,
! [SV1: $i > $o,SV2: $i] :
( ( ( r @ SV2 @ ( sK4_SY4 @ SV1 @ SV2 ) )
= $true )
| ( ( ! [SY6: $i] :
( ~ ( r @ SV2 @ SY6 )
| ( SV1 @ SY6 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ! [SY10: $i] :
( ~ ( r @ ( sK4_SY4 @ SV1 @ SV2 ) @ SY10 )
| ( SV1 @ SY10 ) ) )
= $false )
| ( ( ! [SY6: $i] :
( ~ ( r @ SV2 @ SY6 )
| ( SV1 @ SY6 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(30,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( SV1 @ ( sK4_SY4 @ SV1 @ SV2 ) )
= $false )
| ( ( ! [SY6: $i] :
( ~ ( r @ SV2 @ SY6 )
| ( SV1 @ SY6 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(31,plain,
! [SV3: $i] :
( ( ( r @ sK2_SX0 @ SV3 )
= $false )
| ( ( ~ ! [SY11: $i] :
( ~ ( r @ SV3 @ SY11 )
| ( sK1_P @ SY11 ) )
| ( sK1_P @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV1: $i > $o,SV4: $i,SV2: $i] :
( ( ( ~ ( r @ SV2 @ SV4 )
| ( SV1 @ SV4 ) )
= $true )
| ( ( r @ SV2 @ ( sK4_SY4 @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ! [SY10: $i] :
( ~ ( r @ ( sK4_SY4 @ SV1 @ SV2 ) @ SY10 )
| ( SV1 @ SY10 ) ) )
= $true )
| ( ( ! [SY6: $i] :
( ~ ( r @ SV2 @ SY6 )
| ( SV1 @ SY6 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV1: $i > $o,SV5: $i,SV2: $i] :
( ( ( ~ ( r @ SV2 @ SV5 )
| ( SV1 @ SV5 ) )
= $true )
| ( ( SV1 @ ( sK4_SY4 @ SV1 @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV3: $i] :
( ( ( ~ ! [SY11: $i] :
( ~ ( r @ SV3 @ SY11 )
| ( sK1_P @ SY11 ) ) )
= $true )
| ( ( sK1_P @ SV3 )
= $true )
| ( ( r @ sK2_SX0 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV1: $i > $o,SV4: $i,SV2: $i] :
( ( ( ~ ( r @ SV2 @ SV4 ) )
= $true )
| ( ( SV1 @ SV4 )
= $true )
| ( ( r @ SV2 @ ( sK4_SY4 @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV6: $i,SV2: $i,SV1: $i > $o] :
( ( ( ~ ( r @ ( sK4_SY4 @ SV1 @ SV2 ) @ SV6 )
| ( SV1 @ SV6 ) )
= $true )
| ( ( ! [SY6: $i] :
( ~ ( r @ SV2 @ SY6 )
| ( SV1 @ SY6 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV1: $i > $o,SV5: $i,SV2: $i] :
( ( ( ~ ( r @ SV2 @ SV5 ) )
= $true )
| ( ( SV1 @ SV5 )
= $true )
| ( ( SV1 @ ( sK4_SY4 @ SV1 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV3: $i] :
( ( ( ! [SY11: $i] :
( ~ ( r @ SV3 @ SY11 )
| ( sK1_P @ SY11 ) ) )
= $false )
| ( ( sK1_P @ SV3 )
= $true )
| ( ( r @ sK2_SX0 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV1: $i > $o,SV4: $i,SV2: $i] :
( ( ( r @ SV2 @ SV4 )
= $false )
| ( ( SV1 @ SV4 )
= $true )
| ( ( r @ SV2 @ ( sK4_SY4 @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV6: $i,SV2: $i,SV1: $i > $o] :
( ( ( ~ ( r @ ( sK4_SY4 @ SV1 @ SV2 ) @ SV6 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( ! [SY6: $i] :
( ~ ( r @ SV2 @ SY6 )
| ( SV1 @ SY6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(42,plain,
! [SV1: $i > $o,SV5: $i,SV2: $i] :
( ( ( r @ SV2 @ SV5 )
= $false )
| ( ( SV1 @ SV5 )
= $true )
| ( ( SV1 @ ( sK4_SY4 @ SV1 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV3: $i] :
( ( ( ~ ( r @ SV3 @ ( sK5_SY11 @ SV3 ) )
| ( sK1_P @ ( sK5_SY11 @ SV3 ) ) )
= $false )
| ( ( sK1_P @ SV3 )
= $true )
| ( ( r @ sK2_SX0 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[39]) ).
thf(44,plain,
! [SV6: $i,SV2: $i,SV1: $i > $o] :
( ( ( r @ ( sK4_SY4 @ SV1 @ SV2 ) @ SV6 )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( ! [SY6: $i] :
( ~ ( r @ SV2 @ SY6 )
| ( SV1 @ SY6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(45,plain,
! [SV3: $i] :
( ( ( ~ ( r @ SV3 @ ( sK5_SY11 @ SV3 ) ) )
= $false )
| ( ( sK1_P @ SV3 )
= $true )
| ( ( r @ sK2_SX0 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(46,plain,
! [SV3: $i] :
( ( ( sK1_P @ ( sK5_SY11 @ SV3 ) )
= $false )
| ( ( sK1_P @ SV3 )
= $true )
| ( ( r @ sK2_SX0 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(47,plain,
! [SV6: $i,SV1: $i > $o,SV7: $i,SV2: $i] :
( ( ( ~ ( r @ SV2 @ SV7 )
| ( SV1 @ SV7 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( r @ ( sK4_SY4 @ SV1 @ SV2 ) @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(48,plain,
! [SV3: $i] :
( ( ( r @ SV3 @ ( sK5_SY11 @ SV3 ) )
= $true )
| ( ( sK1_P @ SV3 )
= $true )
| ( ( r @ sK2_SX0 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(49,plain,
! [SV6: $i,SV1: $i > $o,SV7: $i,SV2: $i] :
( ( ( ~ ( r @ SV2 @ SV7 ) )
= $true )
| ( ( SV1 @ SV7 )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( r @ ( sK4_SY4 @ SV1 @ SV2 ) @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV6: $i,SV1: $i > $o,SV7: $i,SV2: $i] :
( ( ( r @ SV2 @ SV7 )
= $false )
| ( ( SV1 @ SV7 )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( r @ ( sK4_SY4 @ SV1 @ SV2 ) @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(51,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,50,48,46,42,40,27]) ).
thf(52,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL623^1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.00/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 4 10:24:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33
% 0.12/0.33 No.of.Axioms: 1
% 0.12/0.33
% 0.12/0.33 Length.of.Defs: 2203
% 0.12/0.33
% 0.12/0.33 Contains.Choice.Funs: false
% 0.12/0.33 (rf:0,axioms:1,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:3,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.19/0.37
% 0.19/0.37 ********************************
% 0.19/0.37 * All subproblems solved! *
% 0.19/0.37 ********************************
% 0.19/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:51,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.37
% 0.19/0.37 %**** Beginning of derivation protocol ****
% 0.19/0.37 % SZS output start CNFRefutation
% See solution above
% 0.19/0.37
% 0.19/0.37 %**** End of derivation protocol ****
% 0.19/0.37 %**** no. of clauses in derivation: 52 ****
% 0.19/0.37 %**** clause counter: 51 ****
% 0.19/0.37
% 0.19/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:51,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------