TSTP Solution File: SEU956^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU956^5 : 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 : n008.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 12:15:53 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of formulae : 70 ( 25 unt; 3 typ; 0 def)
% Number of atoms : 367 ( 241 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 406 ( 84 ~; 106 |; 2 &; 198 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 74 ( 74 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 158 ( 24 ^ 134 !; 0 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK1_Xx,type,
sK1_Xx: $i ).
thf(tp_sK2_SY7,type,
sK2_SY7: $i ).
thf(tp_sK3_SV4,type,
sK3_SV4: ( $i > $o ) > ( $i > $o ) > $i ).
thf(1,conjecture,
( ! [R: $i > $o,S: $i > $o] :
( ( R = S )
=> ! [X: $i] :
( ( S @ X )
=> ( R @ X ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( ( ^ [Y: $i] : ( Xx = Y ) )
= ( ^ [Y: $i] : ( Xy = Y ) ) )
=> ( Xx = Xy ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM13_pme) ).
thf(2,negated_conjecture,
( ( ! [R: $i > $o,S: $i > $o] :
( ( R = S )
=> ! [X: $i] :
( ( S @ X )
=> ( R @ X ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( ( ^ [Y: $i] : ( Xx = Y ) )
= ( ^ [Y: $i] : ( Xy = Y ) ) )
=> ( Xx = Xy ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [R: $i > $o,S: $i > $o] :
( ( R = S )
=> ! [X: $i] :
( ( S @ X )
=> ( R @ X ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( ( ^ [Y: $i] : ( Xx = Y ) )
= ( ^ [Y: $i] : ( Xy = Y ) ) )
=> ( Xx = Xy ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [R: $i > $o,S: $i > $o] :
( ( R = S )
=> ! [X: $i] :
( ( S @ X )
=> ( R @ X ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( ( ^ [Y: $i] : ( Xx = Y ) )
= ( ^ [Y: $i] : ( Xy = Y ) ) )
=> ( Xx = Xy ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [Xx: $i,Xy: $i] :
( ( ( ^ [Y: $i] : ( Xx = Y ) )
= ( ^ [Y: $i] : ( Xy = Y ) ) )
=> ( Xx = Xy ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ( ( ^ [SY8: $i] : ( sK1_Xx = SY8 ) )
= ( ^ [SY11: $i] : ( sK2_SY7 = SY11 ) ) )
& ( sK1_Xx != sK2_SY7 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [R: $i > $o,S: $i > $o] :
( ( R != S )
| ! [X: $i] :
( ~ ( S @ X )
| ( R @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [R: $i > $o,S: $i > $o] :
( ( R != S )
| ! [X: $i] :
( ~ ( S @ X )
| ( R @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ( ( ^ [SY8: $i] : ( sK1_Xx = SY8 ) )
= ( ^ [SY11: $i] : ( sK2_SY7 = SY11 ) ) )
& ( sK1_Xx != sK2_SY7 ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( ( ( ^ [SX0: $i] : ( sK1_Xx = SX0 ) )
!= ( ^ [SX0: $i] : ( sK2_SY7 = SX0 ) ) )
| ~ ( ( sK1_Xx != sK2_SY7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: $i > $o] :
( ( ! [SY12: $i > $o] :
( ( SV1 != SY12 )
| ! [SY13: $i] :
( ~ ( SY12 @ SY13 )
| ( SV1 @ SY13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(13,plain,
( ( ( ( ^ [SX0: $i] : ( sK1_Xx = SX0 ) )
!= ( ^ [SX0: $i] : ( sK2_SY7 = SX0 ) ) )
| ~ ( ( sK1_Xx != sK2_SY7 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( SV1 != SV2 )
| ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ( ( ^ [SX0: $i] : ( sK1_Xx = SX0 ) )
!= ( ^ [SX0: $i] : ( sK2_SY7 = SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ( sK1_Xx != sK2_SY7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ( SV1 != SV2 ) )
= $true )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( ( ^ [SX0: $i] : ( sK1_Xx = SX0 ) )
= ( ^ [SX0: $i] : ( sK2_SY7 = SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ( sK1_Xx != sK2_SY7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( SV1 = SV2 )
= $false )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [SV3: $i] :
( ( sK1_Xx = SV3 )
= ( sK2_SY7 = SV3 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ( ^ [SX0: $i] : ( sK1_Xx = SX0 ) )
= ( ^ [SX0: $i] : ( sK2_SY7 = SX0 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[18]) ).
thf(23,plain,
( ( sK1_Xx = sK2_SY7 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ! [SV4: $i] :
( ( SV1 @ SV4 )
= ( SV2 @ SV4 ) ) )
= $false )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( SV1 = SV2 )
= $false )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[20]) ).
thf(26,plain,
! [SV5: $i] :
( ( ( sK1_Xx = SV5 )
= ( sK2_SY7 = SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(27,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(28,plain,
! [SV1: $i > $o,SV6: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV6 )
| ( SV1 @ SV6 ) )
= $true )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV5: $i] :
( ( ~ ( ( sK1_Xx = SV5 )
| ( sK2_SY7 = SV5 ) )
| ~ ( ( sK1_Xx != SV5 )
| ( sK2_SY7 != SV5 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV5: $i] :
( ( ( sK1_Xx = SV5 )
= ( sK2_SY7 = SV5 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
| ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
| ~ ( ~ ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
| ~ ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[27]) ).
thf(32,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[27]) ).
thf(33,plain,
! [SV1: $i > $o,SV6: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV6 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(34,plain,
! [SV5: $i] :
( ( ( ~ ( ( sK1_Xx = SV5 )
| ( sK2_SY7 = SV5 ) ) )
= $true )
| ( ( ~ ( ( sK1_Xx != SV5 )
| ( sK2_SY7 != SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(35,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
| ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
| ~ ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(37,plain,
! [SV1: $i > $o,SV7: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV7 )
| ( SV1 @ SV7 ) )
= $true )
| ( ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV1: $i > $o,SV6: $i,SV2: $i > $o] :
( ( ( SV2 @ SV6 )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(39,plain,
! [SV5: $i] :
( ( ( ( sK1_Xx = SV5 )
| ( sK2_SY7 = SV5 ) )
= $false )
| ( ( ~ ( ( sK1_Xx != SV5 )
| ( sK2_SY7 != SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(40,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
| ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(41,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
| ~ ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(42,plain,
! [SV1: $i > $o,SV7: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV7 ) )
= $true )
| ( ( SV1 @ SV7 )
= $true )
| ( ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV5: $i] :
( ( ( sK1_Xx = SV5 )
= $false )
| ( ( ~ ( ( sK1_Xx != SV5 )
| ( sK2_SY7 != SV5 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV5: $i] :
( ( ( sK2_SY7 = SV5 )
= $false )
| ( ( ~ ( ( sK1_Xx != SV5 )
| ( sK2_SY7 != SV5 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(45,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(47,plain,
! [SV1: $i > $o,SV7: $i,SV2: $i > $o] :
( ( ( SV2 @ SV7 )
= $false )
| ( ( SV1 @ SV7 )
= $true )
| ( ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV5: $i] :
( ( ( ( sK1_Xx != SV5 )
| ( sK2_SY7 != SV5 ) )
= $false )
| ( ( sK1_Xx = SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV5: $i] :
( ( ( ( sK1_Xx != SV5 )
| ( sK2_SY7 != SV5 ) )
= $false )
| ( ( sK2_SY7 = SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV1: $i > $o,SV8: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV8 )
| ( SV1 @ SV8 ) )
= $true )
| ( ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(52,plain,
! [SV5: $i] :
( ( ( ( sK1_Xx != SV5 ) )
= $false )
| ( ( sK1_Xx = SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(53,plain,
! [SV5: $i] :
( ( ( ( sK2_SY7 != SV5 ) )
= $false )
| ( ( sK1_Xx = SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(54,plain,
! [SV5: $i] :
( ( ( ( sK1_Xx != SV5 ) )
= $false )
| ( ( sK2_SY7 = SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(55,plain,
! [SV5: $i] :
( ( ( ( sK2_SY7 != SV5 ) )
= $false )
| ( ( sK2_SY7 = SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV1: $i > $o,SV8: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV8 ) )
= $true )
| ( ( SV1 @ SV8 )
= $true )
| ( ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $false )
| ( ( ! [SY14: $i] :
( ~ ( SV2 @ SY14 )
| ( SV1 @ SY14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV5: $i] :
( ( ( sK1_Xx = SV5 )
= $true )
| ( ( sK1_Xx = SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV5: $i] :
( ( ( sK2_SY7 = SV5 )
= $true )
| ( ( sK1_Xx = SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(60,plain,
! [SV5: $i] :
( ( ( sK1_Xx = SV5 )
= $true )
| ( ( sK2_SY7 = SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(61,plain,
! [SV5: $i] :
( ( ( sK2_SY7 = SV5 )
= $true )
| ( ( sK2_SY7 = SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(62,plain,
! [SV1: $i > $o,SV8: $i,SV2: $i > $o] :
( ( ( SV2 @ SV8 )
= $false )
| ( ( SV1 @ SV8 )
= $true )
| ( ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV1: $i > $o,SV9: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV9 )
| ( SV1 @ SV9 ) )
= $true )
| ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(64,plain,
! [SV1: $i > $o,SV9: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV9 ) )
= $true )
| ( ( SV1 @ SV9 )
= $true )
| ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(65,plain,
! [SV1: $i > $o,SV9: $i,SV2: $i > $o] :
( ( ( SV2 @ SV9 )
= $false )
| ( ( SV1 @ SV9 )
= $true )
| ( ( SV1 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK3_SV4 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(66,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,65,62,61,60,59,58,47,38,30,23]) ).
thf(67,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU956^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n008.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 Jun 20 10:28:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (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).
% 0.12/0.38
% 0.12/0.38 ********************************
% 0.12/0.38 * All subproblems solved! *
% 0.12/0.38 ********************************
% 0.12/0.38 % 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:66,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.12/0.38
% 0.12/0.38 %**** Beginning of derivation protocol ****
% 0.12/0.38 % SZS output start CNFRefutation
% See solution above
% 0.12/0.38
% 0.12/0.38 %**** End of derivation protocol ****
% 0.12/0.38 %**** no. of clauses in derivation: 67 ****
% 0.12/0.38 %**** clause counter: 66 ****
% 0.12/0.38
% 0.12/0.38 % 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:66,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------