TSTP Solution File: SET616^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SET616^5 : 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 : n027.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 03:03:32 EDT 2022
% Result : Theorem 0.19s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 84 ( 27 unt; 4 typ; 0 def)
% Number of atoms : 660 ( 197 equ; 0 cnn)
% Maximal formula atoms : 3 ( 8 avg)
% Number of connectives : 867 ( 370 ~; 188 |; 14 &; 290 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 78 ( 18 ^ 60 !; 0 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_X,type,
sK1_X: a > $o ).
thf(tp_sK2_SY4,type,
sK2_SY4: a > $o ).
thf(tp_sK3_SV2,type,
sK3_SV2: a ).
thf(1,conjecture,
! [X: a > $o,Y: a > $o] :
( ( ( ^ [Xx: a] :
( ( X @ Xx )
& ~ ( Y @ Xx ) ) )
= ( ^ [Xx: a] :
( ( Y @ Xx )
& ~ ( X @ Xx ) ) ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_90_pme) ).
thf(2,negated_conjecture,
( ( ! [X: a > $o,Y: a > $o] :
( ( ( ^ [Xx: a] :
( ( X @ Xx )
& ~ ( Y @ Xx ) ) )
= ( ^ [Xx: a] :
( ( Y @ Xx )
& ~ ( X @ Xx ) ) ) )
=> ( X = Y ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [X: a > $o,Y: a > $o] :
( ( ( ^ [Xx: a] :
( ( X @ Xx )
& ~ ( Y @ Xx ) ) )
= ( ^ [Xx: a] :
( ( Y @ Xx )
& ~ ( X @ Xx ) ) ) )
=> ( X = Y ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY4: a > $o] :
( ( ( ^ [SY5: a] :
( ( sK1_X @ SY5 )
& ~ ( SY4 @ SY5 ) ) )
= ( ^ [SY6: a] :
( ( SY4 @ SY6 )
& ~ ( sK1_X @ SY6 ) ) ) )
=> ( sK1_X = SY4 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ( ^ [SY7: a] :
( ( sK1_X @ SY7 )
& ~ ( sK2_SY4 @ SY7 ) ) )
= ( ^ [SY8: a] :
( ( sK2_SY4 @ SY8 )
& ~ ( sK1_X @ SY8 ) ) ) )
=> ( sK1_X = sK2_SY4 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ^ [SY7: a] :
( ( sK1_X @ SY7 )
& ~ ( sK2_SY4 @ SY7 ) ) )
= ( ^ [SY8: a] :
( ( sK2_SY4 @ SY8 )
& ~ ( sK1_X @ SY8 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( sK1_X = sK2_SY4 )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ( sK1_X != sK2_SY4 ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ( ^ [SY7: a] :
( ( sK1_X @ SY7 )
& ~ ( sK2_SY4 @ SY7 ) ) )
= ( ^ [SY8: a] :
( ( sK2_SY4 @ SY8 )
& ~ ( sK1_X @ SY8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(10,plain,
( ( ( sK1_X != sK2_SY4 ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ( ^ [SX0: a] :
~ ( ~ ( sK1_X @ SX0 )
| ~ ~ ( sK2_SY4 @ SX0 ) ) )
= ( ^ [SX0: a] :
~ ( ~ ( sK2_SY4 @ SX0 )
| ~ ~ ( sK1_X @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(12,plain,
( ( sK1_X = sK2_SY4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ! [SV1: a] :
( ( ~ ( ~ ( sK1_X @ SV1 )
| ~ ~ ( sK2_SY4 @ SV1 ) ) )
= ( ~ ( ~ ( sK2_SY4 @ SV1 )
| ~ ~ ( sK1_X @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ( ^ [SX0: a] :
~ ( ~ ( sK1_X @ SX0 )
| ~ ~ ( sK2_SY4 @ SX0 ) ) )
= ( ^ [SX0: a] :
~ ( ~ ( sK2_SY4 @ SX0 )
| ~ ~ ( sK1_X @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[11]) ).
thf(15,plain,
( ( ! [SV2: a] :
( ( sK1_X @ SV2 )
= ( sK2_SY4 @ SV2 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[12]) ).
thf(16,plain,
( ( sK1_X = sK2_SY4 )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[12]) ).
thf(17,plain,
! [SV3: a] :
( ( ( ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) ) )
= ( ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(18,plain,
( ( ( sK1_X @ sK3_SV2 )
= ( sK2_SY4 @ sK3_SV2 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(19,plain,
! [SV3: a] :
( ( ~ ( ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) )
| ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV3: a] :
( ( ( ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) ) )
= ( ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ( ( sK1_X @ sK3_SV2 )
| ( sK2_SY4 @ sK3_SV2 ) )
| ~ ( ~ ( sK1_X @ sK3_SV2 )
| ~ ( sK2_SY4 @ sK3_SV2 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ( sK1_X @ sK3_SV2 )
= ( sK2_SY4 @ sK3_SV2 ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[18]) ).
thf(23,plain,
! [SV3: a] :
( ( ( ~ ( ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ( ( sK1_X @ sK3_SV2 )
| ( sK2_SY4 @ sK3_SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ( ~ ( sK1_X @ sK3_SV2 )
| ~ ( sK2_SY4 @ sK3_SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(26,plain,
! [SV3: a] :
( ( ( ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ( sK1_X @ sK3_SV2 )
| ( sK2_SY4 @ sK3_SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ( sK1_X @ sK3_SV2 )
| ~ ( sK2_SY4 @ sK3_SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
! [SV3: a] :
( ( ( ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV3: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ( sK1_X @ sK3_SV2 )
= $true )
| ( ( sK2_SY4 @ sK3_SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(32,plain,
( ( ( ~ ( sK1_X @ sK3_SV2 ) )
= $true )
| ( ( ~ ( sK2_SY4 @ sK3_SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV3: a] :
( ( ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV3: a] :
( ( ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
( ( ( sK1_X @ sK3_SV2 )
= $false )
| ( ( ~ ( sK2_SY4 @ sK3_SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV3: a] :
( ( ( ~ ( sK1_X @ SV3 ) )
= $true )
| ( ( ~ ~ ( sK2_SY4 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV3: a] :
( ( ( ~ ( sK2_SY4 @ SV3 ) )
= $true )
| ( ( ~ ~ ( sK1_X @ SV3 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(38,plain,
( ( ( sK2_SY4 @ sK3_SV2 )
= $false )
| ( ( sK1_X @ sK3_SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV3: a] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( ~ ~ ( sK2_SY4 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV3: a] :
( ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( ~ ~ ( sK1_X @ SV3 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV3: a] :
( ( ( ~ ( sK2_SY4 @ SV3 ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV3: a] :
( ( ( ~ ( sK1_X @ SV3 ) )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV3: a] :
( ( ( sK2_SY4 @ SV3 )
= $true )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(44,plain,
! [SV3: a] :
( ( ( sK1_X @ SV3 )
= $true )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(45,plain,
! [SV3: a] :
( ( ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(46,plain,
! [SV3: a] :
( ( ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
| ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV3: a] :
( ( ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(48,plain,
! [SV3: a] :
( ( ( ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(49,plain,
! [SV3: a] :
( ( ( ~ ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) ) )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(50,plain,
! [SV3: a] :
( ( ( ~ ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(51,plain,
! [SV3: a] :
( ( ( ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) ) )
= $true )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(52,plain,
! [SV3: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) )
= $true )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(53,plain,
! [SV3: a] :
( ( ( ~ ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) ) )
= $true )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(54,plain,
! [SV3: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) ) )
= $true )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(55,plain,
! [SV3: a] :
( ( ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV3: a] :
( ( ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV3: a] :
( ( ( ~ ( sK1_X @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(58,plain,
! [SV3: a] :
( ( ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_X @ SV3 ) )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV3: a] :
( ( ( ~ ( sK1_X @ SV3 ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV3: a] :
( ( ( ~ ~ ( sK2_SY4 @ SV3 ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(61,plain,
! [SV3: a] :
( ( ( ~ ( sK2_SY4 @ SV3 ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(62,plain,
! [SV3: a] :
( ( ( ~ ~ ( sK1_X @ SV3 ) )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(63,plain,
! [SV3: a] :
( ( ( ~ ( sK1_X @ SV3 ) )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV3: a] :
( ( ( ~ ~ ( sK2_SY4 @ SV3 ) )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(65,plain,
! [SV3: a] :
( ( ( ~ ( sK2_SY4 @ SV3 ) )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(66,plain,
! [SV3: a] :
( ( ( ~ ~ ( sK1_X @ SV3 ) )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(67,plain,
! [SV3: a] :
( ( ( sK1_X @ SV3 )
= $true )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(68,plain,
! [SV3: a] :
( ( ( ~ ( sK2_SY4 @ SV3 ) )
= $true )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(69,plain,
! [SV3: a] :
( ( ( sK2_SY4 @ SV3 )
= $true )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(70,plain,
! [SV3: a] :
( ( ( ~ ( sK1_X @ SV3 ) )
= $true )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(71,plain,
! [SV3: a] :
( ( ( sK1_X @ SV3 )
= $true )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(72,plain,
! [SV3: a] :
( ( ( ~ ( sK2_SY4 @ SV3 ) )
= $true )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(73,plain,
! [SV3: a] :
( ( ( sK2_SY4 @ SV3 )
= $true )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(74,plain,
! [SV3: a] :
( ( ( ~ ( sK1_X @ SV3 ) )
= $true )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(75,plain,
! [SV3: a] :
( ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(76,plain,
! [SV3: a] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(77,plain,
! [SV3: a] :
( ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(78,plain,
! [SV3: a] :
( ( ( sK1_X @ SV3 )
= $false )
| ( ( sK2_SY4 @ SV3 )
= $false )
| ( ( sK1_X @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(79,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[14,78,77,76,75,73,71,69,67,38,31,22,20,16]) ).
thf(80,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET616^5 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n027.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 : Sat Jul 9 22:24:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 0
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.34 (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).
% 0.19/0.38
% 0.19/0.38 ********************************
% 0.19/0.38 * All subproblems solved! *
% 0.19/0.38 ********************************
% 0.19/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:79,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.39
% 0.19/0.39 %**** Beginning of derivation protocol ****
% 0.19/0.39 % SZS output start CNFRefutation
% See solution above
% 0.19/0.39
% 0.19/0.39 %**** End of derivation protocol ****
% 0.19/0.39 %**** no. of clauses in derivation: 80 ****
% 0.19/0.39 %**** clause counter: 79 ****
% 0.19/0.39
% 0.19/0.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:79,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------