TSTP Solution File: SEU852^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU852^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n019.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 : Tue Jul 19 12:15:23 EDT 2022
% Result : Theorem 0.20s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 7
% Syntax : Number of formulae : 88 ( 66 unt; 6 typ; 0 def)
% Number of atoms : 435 ( 102 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 648 ( 191 ~; 96 |; 40 &; 268 @)
% ( 7 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 87 ( 0 ^ 87 !; 0 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_S,type,
sK1_S: a > $o ).
thf(tp_sK2_SY7,type,
sK2_SY7: a > $o ).
thf(tp_sK3_SY13,type,
sK3_SY13: a > $o ).
thf(tp_sK4_SY21,type,
sK4_SY21: a ).
thf(tp_sK5_SY16,type,
sK5_SY16: a ).
thf(1,conjecture,
! [S: a > $o,T: a > $o,U: a > $o] :
( ( ! [Xx: a] :
( ( S @ Xx )
=> ( U @ Xx ) )
& ! [Xx: a] :
( ( T @ Xx )
=> ( U @ Xx ) ) )
=> ( ! [Xx: a] :
( ( S @ Xx )
=> ( T @ Xx ) )
<=> ! [Xx: a] :
( ( ( S @ Xx )
& ( U @ Xx )
& ~ ( T @ Xx ) )
=> ( T @ Xx ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGAZING_THM36_pme) ).
thf(2,negated_conjecture,
( ( ! [S: a > $o,T: a > $o,U: a > $o] :
( ( ! [Xx: a] :
( ( S @ Xx )
=> ( U @ Xx ) )
& ! [Xx: a] :
( ( T @ Xx )
=> ( U @ Xx ) ) )
=> ( ! [Xx: a] :
( ( S @ Xx )
=> ( T @ Xx ) )
<=> ! [Xx: a] :
( ( ( S @ Xx )
& ( U @ Xx )
& ~ ( T @ Xx ) )
=> ( T @ Xx ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [S: a > $o,T: a > $o,U: a > $o] :
( ( ! [Xx: a] :
( ( S @ Xx )
=> ( U @ Xx ) )
& ! [Xx: a] :
( ( T @ Xx )
=> ( U @ Xx ) ) )
=> ( ! [Xx: a] :
( ( S @ Xx )
=> ( T @ Xx ) )
<=> ! [Xx: a] :
( ( ( S @ Xx )
& ( U @ Xx )
& ~ ( T @ Xx ) )
=> ( T @ Xx ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY7: a > $o,SY8: a > $o] :
( ( ! [SY9: a] :
( ( sK1_S @ SY9 )
=> ( SY8 @ SY9 ) )
& ! [Xx: a] :
( ( SY7 @ Xx )
=> ( SY8 @ Xx ) ) )
=> ( ! [SY11: a] :
( ( sK1_S @ SY11 )
=> ( SY7 @ SY11 ) )
<=> ! [SY12: a] :
( ( ( sK1_S @ SY12 )
& ( SY8 @ SY12 )
& ~ ( SY7 @ SY12 ) )
=> ( SY7 @ SY12 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY13: a > $o] :
( ( ! [SY9: a] :
( ( sK1_S @ SY9 )
=> ( SY13 @ SY9 ) )
& ! [SY15: a] :
( ( sK2_SY7 @ SY15 )
=> ( SY13 @ SY15 ) ) )
=> ( ! [SY16: a] :
( ( sK1_S @ SY16 )
=> ( sK2_SY7 @ SY16 ) )
<=> ! [SY17: a] :
( ( ( sK1_S @ SY17 )
& ( SY13 @ SY17 )
& ~ ( sK2_SY7 @ SY17 ) )
=> ( sK2_SY7 @ SY17 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ! [SY18: a] :
( ( sK1_S @ SY18 )
=> ( sK3_SY13 @ SY18 ) )
& ! [SY19: a] :
( ( sK2_SY7 @ SY19 )
=> ( sK3_SY13 @ SY19 ) ) )
=> ( ! [SY16: a] :
( ( sK1_S @ SY16 )
=> ( sK2_SY7 @ SY16 ) )
<=> ! [SY21: a] :
( ( ( sK1_S @ SY21 )
& ( sK3_SY13 @ SY21 )
& ~ ( sK2_SY7 @ SY21 ) )
=> ( sK2_SY7 @ SY21 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY18: a] :
( ( sK1_S @ SY18 )
=> ( sK3_SY13 @ SY18 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY19: a] :
( ( sK2_SY7 @ SY19 )
=> ( sK3_SY13 @ SY19 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( ! [SY16: a] :
( ( sK1_S @ SY16 )
=> ( sK2_SY7 @ SY16 ) )
<=> ! [SY21: a] :
( ( ( sK1_S @ SY21 )
& ( sK3_SY13 @ SY21 )
& ~ ( sK2_SY7 @ SY21 ) )
=> ( sK2_SY7 @ SY21 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(10,plain,
( ( ! [SY16: a] :
( ( sK1_S @ SY16 )
=> ( sK2_SY7 @ SY16 ) )
=> ! [SY21: a] :
( ( ( sK1_S @ SY21 )
& ( sK3_SY13 @ SY21 )
& ~ ( sK2_SY7 @ SY21 ) )
=> ( sK2_SY7 @ SY21 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[9]) ).
thf(11,plain,
( ( ! [SY21: a] :
( ( ( sK1_S @ SY21 )
& ( sK3_SY13 @ SY21 )
& ~ ( sK2_SY7 @ SY21 ) )
=> ( sK2_SY7 @ SY21 ) )
=> ! [SY16: a] :
( ( sK1_S @ SY16 )
=> ( sK2_SY7 @ SY16 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[9]) ).
thf(12,plain,
( ( ~ ( ! [SY16: a] :
( ( sK1_S @ SY16 )
=> ( sK2_SY7 @ SY16 ) )
=> ! [SY21: a] :
( ( ( sK1_S @ SY21 )
& ( sK3_SY13 @ SY21 )
& ~ ( sK2_SY7 @ SY21 ) )
=> ( sK2_SY7 @ SY21 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ( ! [SY21: a] :
( ( ( sK1_S @ SY21 )
& ( sK3_SY13 @ SY21 )
& ~ ( sK2_SY7 @ SY21 ) )
=> ( sK2_SY7 @ SY21 ) )
=> ! [SY16: a] :
( ( sK1_S @ SY16 )
=> ( sK2_SY7 @ SY16 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(14,plain,
( ( ! [SY16: a] :
( ~ ( sK1_S @ SY16 )
| ( sK2_SY7 @ SY16 ) )
& ( sK1_S @ sK4_SY21 )
& ( sK3_SY13 @ sK4_SY21 )
& ~ ( sK2_SY7 @ sK4_SY21 )
& ~ ( sK2_SY7 @ sK4_SY21 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(15,plain,
( ( ! [SY21: a] :
( ~ ( sK1_S @ SY21 )
| ~ ( sK3_SY13 @ SY21 )
| ( sK2_SY7 @ SY21 )
| ( sK2_SY7 @ SY21 ) )
& ( sK1_S @ sK5_SY16 )
& ~ ( sK2_SY7 @ sK5_SY16 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(16,plain,
( ( ! [SY18: a] :
( ~ ( sK1_S @ SY18 )
| ( sK3_SY13 @ SY18 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(17,plain,
( ( ! [SY19: a] :
( ~ ( sK2_SY7 @ SY19 )
| ( sK3_SY13 @ SY19 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(18,plain,
( ( ! [SY19: a] :
( ~ ( sK2_SY7 @ SY19 )
| ( sK3_SY13 @ SY19 ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(19,plain,
( ( ! [SY18: a] :
( ~ ( sK1_S @ SY18 )
| ( sK3_SY13 @ SY18 ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(20,plain,
( ( ! [SY16: a] :
( ~ ( sK1_S @ SY16 )
| ( sK2_SY7 @ SY16 ) )
& ( sK1_S @ sK4_SY21 )
& ( sK3_SY13 @ sK4_SY21 )
& ~ ( sK2_SY7 @ sK4_SY21 )
& ~ ( sK2_SY7 @ sK4_SY21 ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(21,plain,
( ( ~ ( ~ ! [SX0: a] :
( ~ ( sK1_S @ SX0 )
| ( sK2_SY7 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_S @ sK4_SY21 )
| ~ ( sK3_SY13 @ sK4_SY21 ) )
| ~ ~ ( sK2_SY7 @ sK4_SY21 ) )
| ~ ~ ( sK2_SY7 @ sK4_SY21 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(22,plain,
! [SV1: a] :
( ( ~ ( sK2_SY7 @ SV1 )
| ( sK3_SY13 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV2: a] :
( ( ~ ( sK1_S @ SV2 )
| ( sK3_SY13 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_S @ SX0 )
| ( sK2_SY7 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_S @ sK4_SY21 )
| ~ ( sK3_SY13 @ sK4_SY21 ) )
| ~ ~ ( sK2_SY7 @ sK4_SY21 ) )
| ~ ~ ( sK2_SY7 @ sK4_SY21 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV1: a] :
( ( ( ~ ( sK2_SY7 @ SV1 ) )
= $true )
| ( ( sK3_SY13 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV2: a] :
( ( ( ~ ( sK1_S @ SV2 ) )
= $true )
| ( ( sK3_SY13 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_S @ SX0 )
| ( sK2_SY7 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_S @ sK4_SY21 )
| ~ ( sK3_SY13 @ sK4_SY21 ) )
| ~ ~ ( sK2_SY7 @ sK4_SY21 ) )
| ~ ~ ( sK2_SY7 @ sK4_SY21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV1: a] :
( ( ( sK2_SY7 @ SV1 )
= $false )
| ( ( sK3_SY13 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV2: a] :
( ( ( sK1_S @ SV2 )
= $false )
| ( ( sK3_SY13 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(31,plain,
( ( ! [SX0: a] :
( ~ ( sK1_S @ SX0 )
| ( sK2_SY7 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_S @ sK4_SY21 )
| ~ ( sK3_SY13 @ sK4_SY21 ) )
| ~ ~ ( sK2_SY7 @ sK4_SY21 ) )
| ~ ~ ( sK2_SY7 @ sK4_SY21 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
! [SV3: a] :
( ( ~ ( sK1_S @ SV3 )
| ( sK2_SY7 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(34,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK1_S @ sK4_SY21 )
| ~ ( sK3_SY13 @ sK4_SY21 ) )
| ~ ~ ( sK2_SY7 @ sK4_SY21 ) )
| ~ ~ ( sK2_SY7 @ sK4_SY21 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(35,plain,
! [SV3: a] :
( ( ( ~ ( sK1_S @ SV3 ) )
= $true )
| ( ( sK2_SY7 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(36,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK1_S @ sK4_SY21 )
| ~ ( sK3_SY13 @ sK4_SY21 ) )
| ~ ~ ( sK2_SY7 @ sK4_SY21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(37,plain,
( ( ~ ~ ( sK2_SY7 @ sK4_SY21 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(38,plain,
! [SV3: a] :
( ( ( sK1_S @ SV3 )
= $false )
| ( ( sK2_SY7 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(39,plain,
( ( ~ ( ~ ~ ( ~ ( sK1_S @ sK4_SY21 )
| ~ ( sK3_SY13 @ sK4_SY21 ) )
| ~ ~ ( sK2_SY7 @ sK4_SY21 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(40,plain,
( ( ~ ( sK2_SY7 @ sK4_SY21 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(41,plain,
( ( ~ ~ ( ~ ( sK1_S @ sK4_SY21 )
| ~ ( sK3_SY13 @ sK4_SY21 ) )
| ~ ~ ( sK2_SY7 @ sK4_SY21 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
( ( sK2_SY7 @ sK4_SY21 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(43,plain,
( ( ~ ~ ( ~ ( sK1_S @ sK4_SY21 )
| ~ ( sK3_SY13 @ sK4_SY21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(44,plain,
( ( ~ ~ ( sK2_SY7 @ sK4_SY21 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(45,plain,
( ( ~ ( ~ ( sK1_S @ sK4_SY21 )
| ~ ( sK3_SY13 @ sK4_SY21 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(46,plain,
( ( ~ ( sK2_SY7 @ sK4_SY21 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(47,plain,
( ( ~ ( sK1_S @ sK4_SY21 )
| ~ ( sK3_SY13 @ sK4_SY21 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(48,plain,
( ( sK2_SY7 @ sK4_SY21 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(49,plain,
( ( ~ ( sK1_S @ sK4_SY21 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(50,plain,
( ( ~ ( sK3_SY13 @ sK4_SY21 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(51,plain,
( ( sK1_S @ sK4_SY21 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(52,plain,
( ( sK3_SY13 @ sK4_SY21 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(53,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[29,52,51,48,42,38,30]) ).
thf(54,plain,
( ( ! [SY19: a] :
( ~ ( sK2_SY7 @ SY19 )
| ( sK3_SY13 @ SY19 ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(55,plain,
( ( ! [SY18: a] :
( ~ ( sK1_S @ SY18 )
| ( sK3_SY13 @ SY18 ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(56,plain,
( ( ! [SY21: a] :
( ~ ( sK1_S @ SY21 )
| ~ ( sK3_SY13 @ SY21 )
| ( sK2_SY7 @ SY21 )
| ( sK2_SY7 @ SY21 ) )
& ( sK1_S @ sK5_SY16 )
& ~ ( sK2_SY7 @ sK5_SY16 ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(57,plain,
( ( ~ ( ~ ! [SX0: a] :
( ~ ( sK1_S @ SX0 )
| ~ ( sK3_SY13 @ SX0 )
| ( sK2_SY7 @ SX0 )
| ( sK2_SY7 @ SX0 ) )
| ~ ~ ( ~ ( sK1_S @ sK5_SY16 )
| ~ ~ ( sK2_SY7 @ sK5_SY16 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(58,plain,
! [SV4: a] :
( ( ~ ( sK2_SY7 @ SV4 )
| ( sK3_SY13 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV5: a] :
( ( ~ ( sK1_S @ SV5 )
| ( sK3_SY13 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(60,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_S @ SX0 )
| ~ ( sK3_SY13 @ SX0 )
| ( sK2_SY7 @ SX0 )
| ( sK2_SY7 @ SX0 ) )
| ~ ~ ( ~ ( sK1_S @ sK5_SY16 )
| ~ ~ ( sK2_SY7 @ sK5_SY16 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(61,plain,
! [SV4: a] :
( ( ( ~ ( sK2_SY7 @ SV4 ) )
= $true )
| ( ( sK3_SY13 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(62,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 ) )
= $true )
| ( ( sK3_SY13 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(63,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_S @ SX0 )
| ~ ( sK3_SY13 @ SX0 )
| ( sK2_SY7 @ SX0 )
| ( sK2_SY7 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(64,plain,
( ( ~ ~ ( ~ ( sK1_S @ sK5_SY16 )
| ~ ~ ( sK2_SY7 @ sK5_SY16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(65,plain,
! [SV4: a] :
( ( ( sK2_SY7 @ SV4 )
= $false )
| ( ( sK3_SY13 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
! [SV5: a] :
( ( ( sK1_S @ SV5 )
= $false )
| ( ( sK3_SY13 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(67,plain,
( ( ! [SX0: a] :
( ~ ( sK1_S @ SX0 )
| ~ ( sK3_SY13 @ SX0 )
| ( sK2_SY7 @ SX0 )
| ( sK2_SY7 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(68,plain,
( ( ~ ( ~ ( sK1_S @ sK5_SY16 )
| ~ ~ ( sK2_SY7 @ sK5_SY16 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(69,plain,
! [SV6: a] :
( ( ~ ( sK1_S @ SV6 )
| ~ ( sK3_SY13 @ SV6 )
| ( sK2_SY7 @ SV6 )
| ( sK2_SY7 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(70,plain,
( ( ~ ( sK1_S @ sK5_SY16 )
| ~ ~ ( sK2_SY7 @ sK5_SY16 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(71,plain,
! [SV6: a] :
( ( ( ~ ( sK1_S @ SV6 )
| ~ ( sK3_SY13 @ SV6 )
| ( sK2_SY7 @ SV6 ) )
= $true )
| ( ( sK2_SY7 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(72,plain,
( ( ~ ( sK1_S @ sK5_SY16 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(73,plain,
( ( ~ ~ ( sK2_SY7 @ sK5_SY16 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(74,plain,
! [SV6: a] :
( ( ( ~ ( sK1_S @ SV6 )
| ~ ( sK3_SY13 @ SV6 ) )
= $true )
| ( ( sK2_SY7 @ SV6 )
= $true )
| ( ( sK2_SY7 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(75,plain,
( ( sK1_S @ sK5_SY16 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(76,plain,
( ( ~ ( sK2_SY7 @ sK5_SY16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(77,plain,
! [SV6: a] :
( ( ( ~ ( sK1_S @ SV6 ) )
= $true )
| ( ( ~ ( sK3_SY13 @ SV6 ) )
= $true )
| ( ( sK2_SY7 @ SV6 )
= $true )
| ( ( sK2_SY7 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(78,plain,
( ( sK2_SY7 @ sK5_SY16 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(79,plain,
! [SV6: a] :
( ( ( sK1_S @ SV6 )
= $false )
| ( ( ~ ( sK3_SY13 @ SV6 ) )
= $true )
| ( ( sK2_SY7 @ SV6 )
= $true )
| ( ( sK2_SY7 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(80,plain,
! [SV6: a] :
( ( ( sK3_SY13 @ SV6 )
= $false )
| ( ( sK1_S @ SV6 )
= $false )
| ( ( sK2_SY7 @ SV6 )
= $true )
| ( ( sK2_SY7 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(81,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[65,80,78,75,66]) ).
thf(82,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[81,53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU852^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 21:07:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:0,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.20/0.41
% 0.20/0.41 ********************************
% 0.20/0.41 * All subproblems solved! *
% 0.20/0.41 ********************************
% 0.20/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:81,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.41
% 0.20/0.41 %**** Beginning of derivation protocol ****
% 0.20/0.41 % SZS output start CNFRefutation
% See solution above
% 0.20/0.41
% 0.20/0.41 %**** End of derivation protocol ****
% 0.20/0.41 %**** no. of clauses in derivation: 82 ****
% 0.20/0.41 %**** clause counter: 81 ****
% 0.20/0.41
% 0.20/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:81,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------