%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU792^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 10:48:25 AM UTC 2026
% Result : Theorem 1.74s 0.62s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 89 ( 61 unt; 0 typ; 6 def)
% Number of atoms : 532 ( 193 equ; 0 cnn)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 1646 ( 134 ~; 117 |; 6 &;1323 @)
% ( 0 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 224 ( 0 ^; 224 !; 0 ?; 224 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_binunion,type,
binunion: $i > $i > $i ).
thf(tp_breln1,type,
breln1: $i > $i > $o ).
thf(tp_breln1compprop,type,
breln1compprop: $o ).
thf(tp_breln1compset,type,
breln1compset: $i > $i > $i > $i ).
thf(tp_breln1invprop,type,
breln1invprop: $o ).
thf(tp_breln1invset,type,
breln1invset: $i > $i > $i ).
thf(tp_breln1unionCommutes,type,
breln1unionCommutes: $o ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY25,type,
sK2_SY25: $i ).
thf(tp_sK3_SY28,type,
sK3_SY28: $i ).
thf(tp_sK4_SY30,type,
sK4_SY30: $i ).
thf(tp_woz2A,type,
woz2A: $o ).
thf(tp_woz2Ex,type,
woz2Ex: $o ).
thf(tp_woz2W,type,
woz2W: $o ).
thf(breln1compprop,definition,
( breln1compprop
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( breln1 @ A @ ( breln1compset @ A @ R @ S ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1compprop) ).
thf(breln1invprop,definition,
( breln1invprop
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ( breln1 @ A @ ( breln1invset @ A @ R ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1invprop) ).
thf(breln1unionCommutes,definition,
( breln1unionCommutes
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( ( binunion @ R @ S )
= ( binunion @ S @ R ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1unionCommutes) ).
thf(woz2A,definition,
( woz2A
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [T: $i] :
( ( breln1 @ A @ T )
=> ( ( breln1compset @ A @ ( binunion @ R @ S ) @ T )
= ( binunion @ ( breln1compset @ A @ R @ T ) @ ( breln1compset @ A @ S @ T ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',woz2A) ).
thf(woz2Ex,definition,
( woz2Ex
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ( R
= ( breln1invset @ A @ ( breln1invset @ A @ R ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',woz2Ex) ).
thf(woz2W,definition,
( woz2W
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( ( breln1invset @ A @ ( breln1compset @ A @ R @ S ) )
= ( breln1compset @ A @ ( breln1invset @ A @ S ) @ ( breln1invset @ A @ R ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',woz2W) ).
thf(1,conjecture,
( breln1invprop
=> ( breln1compprop
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [T: $i] :
( ( breln1 @ A @ T )
=> ( ( breln1compset @ A @ ( binunion @ R @ S ) @ T )
= ( binunion @ ( breln1invset @ A @ ( breln1compset @ A @ ( breln1invset @ A @ T ) @ ( breln1invset @ A @ S ) ) ) @ ( breln1invset @ A @ ( breln1compset @ A @ ( breln1invset @ A @ T ) @ ( breln1invset @ A @ R ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',woz2B) ).
thf(2,negated_conjecture,
( ( breln1invprop
=> ( breln1compprop
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [T: $i] :
( ( breln1 @ A @ T )
=> ( ( breln1compset @ A @ ( binunion @ R @ S ) @ T )
= ( binunion @ ( breln1invset @ A @ ( breln1compset @ A @ ( breln1invset @ A @ T ) @ ( breln1invset @ A @ S ) ) ) @ ( breln1invset @ A @ ( breln1compset @ A @ ( breln1invset @ A @ T ) @ ( breln1invset @ A @ R ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ( breln1 @ A @ ( breln1invset @ A @ R ) ) )
=> ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( breln1 @ A @ ( breln1compset @ A @ R @ S ) ) ) )
=> ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( ( binunion @ R @ S )
= ( binunion @ S @ R ) ) ) )
=> ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ( R
= ( breln1invset @ A @ ( breln1invset @ A @ R ) ) ) )
=> ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( ( breln1invset @ A @ ( breln1compset @ A @ R @ S ) )
= ( breln1compset @ A @ ( breln1invset @ A @ S ) @ ( breln1invset @ A @ R ) ) ) ) )
=> ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [T: $i] :
( ( breln1 @ A @ T )
=> ( ( breln1compset @ A @ ( binunion @ R @ S ) @ T )
= ( binunion @ ( breln1compset @ A @ R @ T ) @ ( breln1compset @ A @ S @ T ) ) ) ) ) )
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [T: $i] :
( ( breln1 @ A @ T )
=> ( ( breln1compset @ A @ ( binunion @ R @ S ) @ T )
= ( binunion @ ( breln1invset @ A @ ( breln1compset @ A @ ( breln1invset @ A @ T ) @ ( breln1invset @ A @ S ) ) ) @ ( breln1invset @ A @ ( breln1compset @ A @ ( breln1invset @ A @ T ) @ ( breln1invset @ A @ R ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,breln1compprop,breln1invprop,breln1unionCommutes,woz2A,woz2Ex,woz2W]) ).
thf(4,plain,
( ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ( breln1 @ A @ ( breln1invset @ A @ R ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( breln1 @ A @ ( breln1compset @ A @ R @ S ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( ( binunion @ R @ S )
= ( binunion @ S @ R ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ( R
= ( breln1invset @ A @ ( breln1invset @ A @ R ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( ( breln1invset @ A @ ( breln1compset @ A @ R @ S ) )
= ( breln1compset @ A @ ( breln1invset @ A @ S ) @ ( breln1invset @ A @ R ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [T: $i] :
( ( breln1 @ A @ T )
=> ( ( breln1compset @ A @ ( binunion @ R @ S ) @ T )
= ( binunion @ ( breln1compset @ A @ R @ T ) @ ( breln1compset @ A @ S @ T ) ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(10,plain,
( ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [T: $i] :
( ( breln1 @ A @ T )
=> ( ( breln1compset @ A @ ( binunion @ R @ S ) @ T )
= ( binunion @ ( breln1invset @ A @ ( breln1compset @ A @ ( breln1invset @ A @ T ) @ ( breln1invset @ A @ S ) ) ) @ ( breln1invset @ A @ ( breln1compset @ A @ ( breln1invset @ A @ T ) @ ( breln1invset @ A @ R ) ) ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(11,plain,
( ( ~ ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [T: $i] :
( ( breln1 @ A @ T )
=> ( ( breln1compset @ A @ ( binunion @ R @ S ) @ T )
= ( binunion @ ( breln1invset @ A @ ( breln1compset @ A @ ( breln1invset @ A @ T ) @ ( breln1invset @ A @ S ) ) ) @ ( breln1invset @ A @ ( breln1compset @ A @ ( breln1invset @ A @ T ) @ ( breln1invset @ A @ R ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(12,plain,
( ( ( breln1 @ sK1_A @ sK2_SY25 )
& ( breln1 @ sK1_A @ sK3_SY28 )
& ( breln1 @ sK1_A @ sK4_SY30 )
& ( ( breln1compset @ sK1_A @ ( binunion @ sK2_SY25 @ sK3_SY28 ) @ sK4_SY30 )
!= ( binunion @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK3_SY28 ) ) ) @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK2_SY25 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(13,plain,
( ( ! [A: $i,R: $i] :
( ~ ( breln1 @ A @ R )
| ( breln1 @ A @ ( breln1invset @ A @ R ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(14,plain,
( ( ! [A: $i,R: $i] :
( ~ ( breln1 @ A @ R )
| ! [S: $i] :
( ~ ( breln1 @ A @ S )
| ( breln1 @ A @ ( breln1compset @ A @ R @ S ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(15,plain,
( ( ! [A: $i,R: $i] :
( ~ ( breln1 @ A @ R )
| ! [S: $i] :
( ~ ( breln1 @ A @ S )
| ( ( binunion @ R @ S )
= ( binunion @ S @ R ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(16,plain,
( ( ! [A: $i,R: $i] :
( ~ ( breln1 @ A @ R )
| ( R
= ( breln1invset @ A @ ( breln1invset @ A @ R ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(17,plain,
( ( ! [A: $i,R: $i] :
( ~ ( breln1 @ A @ R )
| ! [S: $i] :
( ~ ( breln1 @ A @ S )
| ( ( breln1invset @ A @ ( breln1compset @ A @ R @ S ) )
= ( breln1compset @ A @ ( breln1invset @ A @ S ) @ ( breln1invset @ A @ R ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(18,plain,
( ( ! [A: $i,R: $i] :
( ~ ( breln1 @ A @ R )
| ! [S: $i] :
( ~ ( breln1 @ A @ S )
| ! [T: $i] :
( ~ ( breln1 @ A @ T )
| ( ( breln1compset @ A @ ( binunion @ R @ S ) @ T )
= ( binunion @ ( breln1compset @ A @ R @ T ) @ ( breln1compset @ A @ S @ T ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(19,plain,
( ( ! [A: $i,R: $i] :
( ~ ( breln1 @ A @ R )
| ! [S: $i] :
( ~ ( breln1 @ A @ S )
| ! [T: $i] :
( ~ ( breln1 @ A @ T )
| ( ( breln1compset @ A @ ( binunion @ R @ S ) @ T )
= ( binunion @ ( breln1compset @ A @ R @ T ) @ ( breln1compset @ A @ S @ T ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(20,plain,
( ( ! [A: $i,R: $i] :
( ~ ( breln1 @ A @ R )
| ! [S: $i] :
( ~ ( breln1 @ A @ S )
| ( ( breln1invset @ A @ ( breln1compset @ A @ R @ S ) )
= ( breln1compset @ A @ ( breln1invset @ A @ S ) @ ( breln1invset @ A @ R ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [A: $i,R: $i] :
( ~ ( breln1 @ A @ R )
| ( R
= ( breln1invset @ A @ ( breln1invset @ A @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(22,plain,
( ( ! [A: $i,R: $i] :
( ~ ( breln1 @ A @ R )
| ! [S: $i] :
( ~ ( breln1 @ A @ S )
| ( ( binunion @ R @ S )
= ( binunion @ S @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(23,plain,
( ( ! [A: $i,R: $i] :
( ~ ( breln1 @ A @ R )
| ! [S: $i] :
( ~ ( breln1 @ A @ S )
| ( breln1 @ A @ ( breln1compset @ A @ R @ S ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(24,plain,
( ( ! [A: $i,R: $i] :
( ~ ( breln1 @ A @ R )
| ( breln1 @ A @ ( breln1invset @ A @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(25,plain,
( ( ( breln1 @ sK1_A @ sK2_SY25 )
& ( breln1 @ sK1_A @ sK3_SY28 )
& ( breln1 @ sK1_A @ sK4_SY30 )
& ( ( breln1compset @ sK1_A @ ( binunion @ sK2_SY25 @ sK3_SY28 ) @ sK4_SY30 )
!= ( binunion @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK3_SY28 ) ) ) @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK2_SY25 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(26,plain,
( ( ~ ( ~ ( breln1 @ sK1_A @ sK2_SY25 )
| ~ ~ ( ~ ( breln1 @ sK1_A @ sK3_SY28 )
| ~ ~ ( ~ ( breln1 @ sK1_A @ sK4_SY30 )
| ~ ( ( ( breln1compset @ sK1_A @ ( binunion @ sK2_SY25 @ sK3_SY28 ) @ sK4_SY30 )
!= ( binunion @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK3_SY28 ) ) ) @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK2_SY25 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25,breln1compprop,breln1invprop,breln1unionCommutes,woz2A,woz2Ex,woz2W]) ).
thf(27,plain,
! [SV1: $i] :
( ( ! [SY31: $i] :
( ~ ( breln1 @ SV1 @ SY31 )
| ! [SY32: $i] :
( ~ ( breln1 @ SV1 @ SY32 )
| ! [SY33: $i] :
( ~ ( breln1 @ SV1 @ SY33 )
| ( ( breln1compset @ SV1 @ ( binunion @ SY31 @ SY32 ) @ SY33 )
= ( binunion @ ( breln1compset @ SV1 @ SY31 @ SY33 ) @ ( breln1compset @ SV1 @ SY32 @ SY33 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(28,plain,
! [SV2: $i] :
( ( ! [SY34: $i] :
( ~ ( breln1 @ SV2 @ SY34 )
| ! [SY35: $i] :
( ~ ( breln1 @ SV2 @ SY35 )
| ( ( breln1invset @ SV2 @ ( breln1compset @ SV2 @ SY34 @ SY35 ) )
= ( breln1compset @ SV2 @ ( breln1invset @ SV2 @ SY35 ) @ ( breln1invset @ SV2 @ SY34 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(29,plain,
! [SV3: $i] :
( ( ! [SY36: $i] :
( ~ ( breln1 @ SV3 @ SY36 )
| ( SY36
= ( breln1invset @ SV3 @ ( breln1invset @ SV3 @ SY36 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(30,plain,
! [SV4: $i] :
( ( ! [SY37: $i] :
( ~ ( breln1 @ SV4 @ SY37 )
| ! [SY38: $i] :
( ~ ( breln1 @ SV4 @ SY38 )
| ( ( binunion @ SY37 @ SY38 )
= ( binunion @ SY38 @ SY37 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(31,plain,
! [SV5: $i] :
( ( ! [SY39: $i] :
( ~ ( breln1 @ SV5 @ SY39 )
| ! [SY40: $i] :
( ~ ( breln1 @ SV5 @ SY40 )
| ( breln1 @ SV5 @ ( breln1compset @ SV5 @ SY39 @ SY40 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(32,plain,
! [SV6: $i] :
( ( ! [SY41: $i] :
( ~ ( breln1 @ SV6 @ SY41 )
| ( breln1 @ SV6 @ ( breln1invset @ SV6 @ SY41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(33,plain,
( ( ~ ( breln1 @ sK1_A @ sK2_SY25 )
| ~ ~ ( ~ ( breln1 @ sK1_A @ sK3_SY28 )
| ~ ~ ( ~ ( breln1 @ sK1_A @ sK4_SY30 )
| ~ ( ( ( breln1compset @ sK1_A @ ( binunion @ sK2_SY25 @ sK3_SY28 ) @ sK4_SY30 )
!= ( binunion @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK3_SY28 ) ) ) @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK2_SY25 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(34,plain,
! [SV7: $i,SV1: $i] :
( ( ~ ( breln1 @ SV1 @ SV7 )
| ! [SY42: $i] :
( ~ ( breln1 @ SV1 @ SY42 )
| ! [SY43: $i] :
( ~ ( breln1 @ SV1 @ SY43 )
| ( ( breln1compset @ SV1 @ ( binunion @ SV7 @ SY42 ) @ SY43 )
= ( binunion @ ( breln1compset @ SV1 @ SV7 @ SY43 ) @ ( breln1compset @ SV1 @ SY42 @ SY43 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(35,plain,
! [SV8: $i,SV2: $i] :
( ( ~ ( breln1 @ SV2 @ SV8 )
| ! [SY44: $i] :
( ~ ( breln1 @ SV2 @ SY44 )
| ( ( breln1invset @ SV2 @ ( breln1compset @ SV2 @ SV8 @ SY44 ) )
= ( breln1compset @ SV2 @ ( breln1invset @ SV2 @ SY44 ) @ ( breln1invset @ SV2 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(36,plain,
! [SV9: $i,SV3: $i] :
( ( ~ ( breln1 @ SV3 @ SV9 )
| ( SV9
= ( breln1invset @ SV3 @ ( breln1invset @ SV3 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(37,plain,
! [SV10: $i,SV4: $i] :
( ( ~ ( breln1 @ SV4 @ SV10 )
| ! [SY45: $i] :
( ~ ( breln1 @ SV4 @ SY45 )
| ( ( binunion @ SV10 @ SY45 )
= ( binunion @ SY45 @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(38,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( breln1 @ SV5 @ SV11 )
| ! [SY46: $i] :
( ~ ( breln1 @ SV5 @ SY46 )
| ( breln1 @ SV5 @ ( breln1compset @ SV5 @ SV11 @ SY46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(39,plain,
! [SV12: $i,SV6: $i] :
( ( ~ ( breln1 @ SV6 @ SV12 )
| ( breln1 @ SV6 @ ( breln1invset @ SV6 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(40,plain,
( ( ~ ( breln1 @ sK1_A @ sK2_SY25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(41,plain,
( ( ~ ~ ( ~ ( breln1 @ sK1_A @ sK3_SY28 )
| ~ ~ ( ~ ( breln1 @ sK1_A @ sK4_SY30 )
| ~ ( ( ( breln1compset @ sK1_A @ ( binunion @ sK2_SY25 @ sK3_SY28 ) @ sK4_SY30 )
!= ( binunion @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK3_SY28 ) ) ) @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK2_SY25 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(42,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( breln1 @ SV1 @ SV7 ) )
= $true )
| ( ( ! [SY42: $i] :
( ~ ( breln1 @ SV1 @ SY42 )
| ! [SY43: $i] :
( ~ ( breln1 @ SV1 @ SY43 )
| ( ( breln1compset @ SV1 @ ( binunion @ SV7 @ SY42 ) @ SY43 )
= ( binunion @ ( breln1compset @ SV1 @ SV7 @ SY43 ) @ ( breln1compset @ SV1 @ SY42 @ SY43 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(43,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( breln1 @ SV2 @ SV8 ) )
= $true )
| ( ( ! [SY44: $i] :
( ~ ( breln1 @ SV2 @ SY44 )
| ( ( breln1invset @ SV2 @ ( breln1compset @ SV2 @ SV8 @ SY44 ) )
= ( breln1compset @ SV2 @ ( breln1invset @ SV2 @ SY44 ) @ ( breln1invset @ SV2 @ SV8 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(44,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( breln1 @ SV3 @ SV9 ) )
= $true )
| ( ( SV9
= ( breln1invset @ SV3 @ ( breln1invset @ SV3 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(45,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( breln1 @ SV4 @ SV10 ) )
= $true )
| ( ( ! [SY45: $i] :
( ~ ( breln1 @ SV4 @ SY45 )
| ( ( binunion @ SV10 @ SY45 )
= ( binunion @ SY45 @ SV10 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(46,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( breln1 @ SV5 @ SV11 ) )
= $true )
| ( ( ! [SY46: $i] :
( ~ ( breln1 @ SV5 @ SY46 )
| ( breln1 @ SV5 @ ( breln1compset @ SV5 @ SV11 @ SY46 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(47,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( breln1 @ SV6 @ SV12 ) )
= $true )
| ( ( breln1 @ SV6 @ ( breln1invset @ SV6 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(48,plain,
( ( breln1 @ sK1_A @ sK2_SY25 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(49,plain,
( ( ~ ( ~ ( breln1 @ sK1_A @ sK3_SY28 )
| ~ ~ ( ~ ( breln1 @ sK1_A @ sK4_SY30 )
| ~ ( ( ( breln1compset @ sK1_A @ ( binunion @ sK2_SY25 @ sK3_SY28 ) @ sK4_SY30 )
!= ( binunion @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK3_SY28 ) ) ) @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK2_SY25 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(50,plain,
! [SV7: $i,SV1: $i] :
( ( ( breln1 @ SV1 @ SV7 )
= $false )
| ( ( ! [SY42: $i] :
( ~ ( breln1 @ SV1 @ SY42 )
| ! [SY43: $i] :
( ~ ( breln1 @ SV1 @ SY43 )
| ( ( breln1compset @ SV1 @ ( binunion @ SV7 @ SY42 ) @ SY43 )
= ( binunion @ ( breln1compset @ SV1 @ SV7 @ SY43 ) @ ( breln1compset @ SV1 @ SY42 @ SY43 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(51,plain,
! [SV8: $i,SV2: $i] :
( ( ( breln1 @ SV2 @ SV8 )
= $false )
| ( ( ! [SY44: $i] :
( ~ ( breln1 @ SV2 @ SY44 )
| ( ( breln1invset @ SV2 @ ( breln1compset @ SV2 @ SV8 @ SY44 ) )
= ( breln1compset @ SV2 @ ( breln1invset @ SV2 @ SY44 ) @ ( breln1invset @ SV2 @ SV8 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(52,plain,
! [SV9: $i,SV3: $i] :
( ( ( breln1 @ SV3 @ SV9 )
= $false )
| ( ( SV9
= ( breln1invset @ SV3 @ ( breln1invset @ SV3 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(53,plain,
! [SV10: $i,SV4: $i] :
( ( ( breln1 @ SV4 @ SV10 )
= $false )
| ( ( ! [SY45: $i] :
( ~ ( breln1 @ SV4 @ SY45 )
| ( ( binunion @ SV10 @ SY45 )
= ( binunion @ SY45 @ SV10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(54,plain,
! [SV11: $i,SV5: $i] :
( ( ( breln1 @ SV5 @ SV11 )
= $false )
| ( ( ! [SY46: $i] :
( ~ ( breln1 @ SV5 @ SY46 )
| ( breln1 @ SV5 @ ( breln1compset @ SV5 @ SV11 @ SY46 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(55,plain,
! [SV12: $i,SV6: $i] :
( ( ( breln1 @ SV6 @ SV12 )
= $false )
| ( ( breln1 @ SV6 @ ( breln1invset @ SV6 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(56,plain,
( ( ~ ( breln1 @ sK1_A @ sK3_SY28 )
| ~ ~ ( ~ ( breln1 @ sK1_A @ sK4_SY30 )
| ~ ( ( ( breln1compset @ sK1_A @ ( binunion @ sK2_SY25 @ sK3_SY28 ) @ sK4_SY30 )
!= ( binunion @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK3_SY28 ) ) ) @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK2_SY25 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV7: $i,SV13: $i,SV1: $i] :
( ( ( ~ ( breln1 @ SV1 @ SV13 )
| ! [SY47: $i] :
( ~ ( breln1 @ SV1 @ SY47 )
| ( ( breln1compset @ SV1 @ ( binunion @ SV7 @ SV13 ) @ SY47 )
= ( binunion @ ( breln1compset @ SV1 @ SV7 @ SY47 ) @ ( breln1compset @ SV1 @ SV13 @ SY47 ) ) ) ) )
= $true )
| ( ( breln1 @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(58,plain,
! [SV8: $i,SV14: $i,SV2: $i] :
( ( ( ~ ( breln1 @ SV2 @ SV14 )
| ( ( breln1invset @ SV2 @ ( breln1compset @ SV2 @ SV8 @ SV14 ) )
= ( breln1compset @ SV2 @ ( breln1invset @ SV2 @ SV14 ) @ ( breln1invset @ SV2 @ SV8 ) ) ) )
= $true )
| ( ( breln1 @ SV2 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(59,plain,
! [SV10: $i,SV15: $i,SV4: $i] :
( ( ( ~ ( breln1 @ SV4 @ SV15 )
| ( ( binunion @ SV10 @ SV15 )
= ( binunion @ SV15 @ SV10 ) ) )
= $true )
| ( ( breln1 @ SV4 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV11: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( breln1 @ SV5 @ SV16 )
| ( breln1 @ SV5 @ ( breln1compset @ SV5 @ SV11 @ SV16 ) ) )
= $true )
| ( ( breln1 @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(61,plain,
( ( ~ ( breln1 @ sK1_A @ sK3_SY28 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(62,plain,
( ( ~ ~ ( ~ ( breln1 @ sK1_A @ sK4_SY30 )
| ~ ( ( ( breln1compset @ sK1_A @ ( binunion @ sK2_SY25 @ sK3_SY28 ) @ sK4_SY30 )
!= ( binunion @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK3_SY28 ) ) ) @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK2_SY25 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(63,plain,
! [SV7: $i,SV13: $i,SV1: $i] :
( ( ( ~ ( breln1 @ SV1 @ SV13 ) )
= $true )
| ( ( ! [SY47: $i] :
( ~ ( breln1 @ SV1 @ SY47 )
| ( ( breln1compset @ SV1 @ ( binunion @ SV7 @ SV13 ) @ SY47 )
= ( binunion @ ( breln1compset @ SV1 @ SV7 @ SY47 ) @ ( breln1compset @ SV1 @ SV13 @ SY47 ) ) ) ) )
= $true )
| ( ( breln1 @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(64,plain,
! [SV8: $i,SV14: $i,SV2: $i] :
( ( ( ~ ( breln1 @ SV2 @ SV14 ) )
= $true )
| ( ( ( breln1invset @ SV2 @ ( breln1compset @ SV2 @ SV8 @ SV14 ) )
= ( breln1compset @ SV2 @ ( breln1invset @ SV2 @ SV14 ) @ ( breln1invset @ SV2 @ SV8 ) ) )
= $true )
| ( ( breln1 @ SV2 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(65,plain,
! [SV10: $i,SV15: $i,SV4: $i] :
( ( ( ~ ( breln1 @ SV4 @ SV15 ) )
= $true )
| ( ( ( binunion @ SV10 @ SV15 )
= ( binunion @ SV15 @ SV10 ) )
= $true )
| ( ( breln1 @ SV4 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(66,plain,
! [SV11: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( breln1 @ SV5 @ SV16 ) )
= $true )
| ( ( breln1 @ SV5 @ ( breln1compset @ SV5 @ SV11 @ SV16 ) )
= $true )
| ( ( breln1 @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(67,plain,
( ( breln1 @ sK1_A @ sK3_SY28 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(68,plain,
( ( ~ ( ~ ( breln1 @ sK1_A @ sK4_SY30 )
| ~ ( ( ( breln1compset @ sK1_A @ ( binunion @ sK2_SY25 @ sK3_SY28 ) @ sK4_SY30 )
!= ( binunion @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK3_SY28 ) ) ) @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK2_SY25 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(69,plain,
! [SV7: $i,SV13: $i,SV1: $i] :
( ( ( breln1 @ SV1 @ SV13 )
= $false )
| ( ( ! [SY47: $i] :
( ~ ( breln1 @ SV1 @ SY47 )
| ( ( breln1compset @ SV1 @ ( binunion @ SV7 @ SV13 ) @ SY47 )
= ( binunion @ ( breln1compset @ SV1 @ SV7 @ SY47 ) @ ( breln1compset @ SV1 @ SV13 @ SY47 ) ) ) ) )
= $true )
| ( ( breln1 @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(70,plain,
! [SV8: $i,SV14: $i,SV2: $i] :
( ( ( breln1 @ SV2 @ SV14 )
= $false )
| ( ( ( breln1invset @ SV2 @ ( breln1compset @ SV2 @ SV8 @ SV14 ) )
= ( breln1compset @ SV2 @ ( breln1invset @ SV2 @ SV14 ) @ ( breln1invset @ SV2 @ SV8 ) ) )
= $true )
| ( ( breln1 @ SV2 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(71,plain,
! [SV10: $i,SV15: $i,SV4: $i] :
( ( ( breln1 @ SV4 @ SV15 )
= $false )
| ( ( ( binunion @ SV10 @ SV15 )
= ( binunion @ SV15 @ SV10 ) )
= $true )
| ( ( breln1 @ SV4 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(72,plain,
! [SV11: $i,SV16: $i,SV5: $i] :
( ( ( breln1 @ SV5 @ SV16 )
= $false )
| ( ( breln1 @ SV5 @ ( breln1compset @ SV5 @ SV11 @ SV16 ) )
= $true )
| ( ( breln1 @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(73,plain,
( ( ~ ( breln1 @ sK1_A @ sK4_SY30 )
| ~ ( ( ( breln1compset @ sK1_A @ ( binunion @ sK2_SY25 @ sK3_SY28 ) @ sK4_SY30 )
!= ( binunion @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK3_SY28 ) ) ) @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK2_SY25 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(74,plain,
! [SV13: $i,SV7: $i,SV17: $i,SV1: $i] :
( ( ( ~ ( breln1 @ SV1 @ SV17 )
| ( ( breln1compset @ SV1 @ ( binunion @ SV7 @ SV13 ) @ SV17 )
= ( binunion @ ( breln1compset @ SV1 @ SV7 @ SV17 ) @ ( breln1compset @ SV1 @ SV13 @ SV17 ) ) ) )
= $true )
| ( ( breln1 @ SV1 @ SV13 )
= $false )
| ( ( breln1 @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(75,plain,
( ( ~ ( breln1 @ sK1_A @ sK4_SY30 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(76,plain,
( ( ~ ( ( ( breln1compset @ sK1_A @ ( binunion @ sK2_SY25 @ sK3_SY28 ) @ sK4_SY30 )
!= ( binunion @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK3_SY28 ) ) ) @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK2_SY25 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(77,plain,
! [SV13: $i,SV7: $i,SV17: $i,SV1: $i] :
( ( ( ~ ( breln1 @ SV1 @ SV17 ) )
= $true )
| ( ( ( breln1compset @ SV1 @ ( binunion @ SV7 @ SV13 ) @ SV17 )
= ( binunion @ ( breln1compset @ SV1 @ SV7 @ SV17 ) @ ( breln1compset @ SV1 @ SV13 @ SV17 ) ) )
= $true )
| ( ( breln1 @ SV1 @ SV13 )
= $false )
| ( ( breln1 @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(78,plain,
( ( breln1 @ sK1_A @ sK4_SY30 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(79,plain,
( ( ( breln1compset @ sK1_A @ ( binunion @ sK2_SY25 @ sK3_SY28 ) @ sK4_SY30 )
!= ( binunion @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK3_SY28 ) ) ) @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK2_SY25 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(80,plain,
! [SV13: $i,SV7: $i,SV17: $i,SV1: $i] :
( ( ( breln1 @ SV1 @ SV17 )
= $false )
| ( ( ( breln1compset @ SV1 @ ( binunion @ SV7 @ SV13 ) @ SV17 )
= ( binunion @ ( breln1compset @ SV1 @ SV7 @ SV17 ) @ ( breln1compset @ SV1 @ SV13 @ SV17 ) ) )
= $true )
| ( ( breln1 @ SV1 @ SV13 )
= $false )
| ( ( breln1 @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(81,plain,
( ( ( breln1compset @ sK1_A @ ( binunion @ sK2_SY25 @ sK3_SY28 ) @ sK4_SY30 )
= ( binunion @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK3_SY28 ) ) ) @ ( breln1invset @ sK1_A @ ( breln1compset @ sK1_A @ ( breln1invset @ sK1_A @ sK4_SY30 ) @ ( breln1invset @ sK1_A @ sK2_SY25 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(82,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[48,81,80,78,72,71,70,67,55,52]) ).
thf(83,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU792^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.20 % Computer : n017.cluster.edu
% 0.06/0.20 % Model : x86_64 x86_64
% 0.06/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.20 % Memory : 8046.5625MB
% 0.06/0.20 % OS : Linux 6.8.0-71-generic
% 0.06/0.20 % CPULimit : 300
% 0.06/0.20 % WCLimit : 300
% 0.06/0.20 % DateTime : Tue Oct 6 15:30:16 UTC 2026
% 0.06/0.21 % CPUTime :
% 0.06/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.74/0.62
% 1.74/0.62 No.of.Axioms: 0
% 1.74/0.62
% 1.74/0.62 Length.of.Defs: 1441
% 1.74/0.62
% 1.74/0.62 Contains.Choice.Funs: false
% 1.74/0.62 ...
% 1.74/0.62
% 1.74/0.62 ********************************
% 1.74/0.62 * All subproblems solved! *
% 1.74/0.62 ********************************
% 1.74/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:6,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:82,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.74/0.62
% 1.74/0.62 %**** Beginning of derivation protocol ****
% 1.74/0.62 % SZS output start CNFRefutation
% See solution above
% 1.74/0.63
% 1.74/0.63 %**** End of derivation protocol ****
% 1.74/0.63 %**** no. of clauses in derivation: 83 ****
% 1.74/0.63 %**** clause counter: 82 ****
% 1.74/0.63
% 1.74/0.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:6,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:82,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------