TSTP Solution File: SEV065^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV065^5 : 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 : n021.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 17:34:38 EDT 2022
% Result : Theorem 0.21s 0.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 8
% Syntax : Number of formulae : 77 ( 27 unt; 7 typ; 0 def)
% Number of atoms : 641 ( 375 equ; 0 cnn)
% Maximal formula atoms : 4 ( 9 avg)
% Number of connectives : 797 ( 336 ~; 207 |; 27 &; 221 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 41 ( 27 ^ 14 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_sK1_Xx,type,
sK1_Xx: b ).
thf(tp_sK2_SY5,type,
sK2_SY5: a ).
thf(tp_sK3_SY9,type,
sK3_SY9: b > a > $o ).
thf(tp_sK4_SV1,type,
sK4_SV1: b ).
thf(tp_sK5_SV2,type,
sK5_SV2: a ).
thf(1,conjecture,
! [Xx: b,Xy: a,Xk: b > a > $o] :
( ( Xk @ Xx @ Xy )
=> ( ( ^ [Xu: b,Xv: a] :
( ( ( Xk @ Xu @ Xv )
& ~ ( ( Xu = Xx )
& ( Xv = Xy ) ) )
| ( ( Xu = Xx )
& ( Xv = Xy ) ) ) )
= Xk ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM177_pme) ).
thf(2,negated_conjecture,
( ( ! [Xx: b,Xy: a,Xk: b > a > $o] :
( ( Xk @ Xx @ Xy )
=> ( ( ^ [Xu: b,Xv: a] :
( ( ( Xk @ Xu @ Xv )
& ~ ( ( Xu = Xx )
& ( Xv = Xy ) ) )
| ( ( Xu = Xx )
& ( Xv = Xy ) ) ) )
= Xk ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: b,Xy: a,Xk: b > a > $o] :
( ( Xk @ Xx @ Xy )
=> ( ( ^ [Xu: b,Xv: a] :
( ( ( Xk @ Xu @ Xv )
& ~ ( ( Xu = Xx )
& ( Xv = Xy ) ) )
| ( ( Xu = Xx )
& ( Xv = Xy ) ) ) )
= Xk ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY5: a,SY6: b > a > $o] :
( ( SY6 @ sK1_Xx @ SY5 )
=> ( ( ^ [SY7: b,SY8: a] :
( ( ( SY6 @ SY7 @ SY8 )
& ~ ( ( SY7 = sK1_Xx )
& ( SY8 = SY5 ) ) )
| ( ( SY7 = sK1_Xx )
& ( SY8 = SY5 ) ) ) )
= SY6 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY9: b > a > $o] :
( ( SY9 @ sK1_Xx @ sK2_SY5 )
=> ( ( ^ [SY10: b,SY11: a] :
( ( ( SY9 @ SY10 @ SY11 )
& ~ ( ( SY10 = sK1_Xx )
& ( SY11 = sK2_SY5 ) ) )
| ( ( SY10 = sK1_Xx )
& ( SY11 = sK2_SY5 ) ) ) )
= SY9 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( sK3_SY9 @ sK1_Xx @ sK2_SY5 )
=> ( ( ^ [SY12: b,SY13: a] :
( ( ( sK3_SY9 @ SY12 @ SY13 )
& ~ ( ( SY12 = sK1_Xx )
& ( SY13 = sK2_SY5 ) ) )
| ( ( SY12 = sK1_Xx )
& ( SY13 = sK2_SY5 ) ) ) )
= sK3_SY9 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( sK3_SY9 @ sK1_Xx @ sK2_SY5 )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( ( ^ [SY12: b,SY13: a] :
( ( ( sK3_SY9 @ SY12 @ SY13 )
& ~ ( ( SY12 = sK1_Xx )
& ( SY13 = sK2_SY5 ) ) )
| ( ( SY12 = sK1_Xx )
& ( SY13 = sK2_SY5 ) ) ) )
= sK3_SY9 )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( ( ( ^ [SY12: b,SY13: a] :
( ( ( sK3_SY9 @ SY12 @ SY13 )
& ~ ( ( SY12 = sK1_Xx )
& ( SY13 = sK2_SY5 ) ) )
| ( ( SY12 = sK1_Xx )
& ( SY13 = sK2_SY5 ) ) ) )
!= sK3_SY9 ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( sK3_SY9 @ sK1_Xx @ sK2_SY5 )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ( ( ^ [SY12: b,SY13: a] :
( ( ( sK3_SY9 @ SY12 @ SY13 )
& ~ ( ( SY12 = sK1_Xx )
& ( SY13 = sK2_SY5 ) ) )
| ( ( SY12 = sK1_Xx )
& ( SY13 = sK2_SY5 ) ) ) )
!= sK3_SY9 ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( ( ( ^ [SX0: b,SX1: a] :
( ~ ( ~ ( sK3_SY9 @ SX0 @ SX1 )
| ~ ~ ~ ( ( SX0 != sK1_Xx )
| ( SX1 != sK2_SY5 ) ) )
| ~ ( ( SX0 != sK1_Xx )
| ( SX1 != sK2_SY5 ) ) ) )
!= sK3_SY9 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(13,plain,
( ( ( ^ [SX0: b,SX1: a] :
( ~ ( ~ ( sK3_SY9 @ SX0 @ SX1 )
| ~ ~ ~ ( ( SX0 != sK1_Xx )
| ( SX1 != sK2_SY5 ) ) )
| ~ ( ( SX0 != sK1_Xx )
| ( SX1 != sK2_SY5 ) ) ) )
= sK3_SY9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SV1: b] :
( ( ^ [SY14: a] :
( ~ ( ~ ( sK3_SY9 @ SV1 @ SY14 )
| ~ ~ ~ ( ( SV1 != sK1_Xx )
| ( SY14 != sK2_SY5 ) ) )
| ~ ( ( SV1 != sK1_Xx )
| ( SY14 != sK2_SY5 ) ) ) )
= ( sK3_SY9 @ SV1 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[13]) ).
thf(15,plain,
( ( ( ^ [SX0: b,SX1: a] :
( ~ ( ~ ( sK3_SY9 @ SX0 @ SX1 )
| ~ ~ ~ ( ( SX0 != sK1_Xx )
| ( SX1 != sK2_SY5 ) ) )
| ~ ( ( SX0 != sK1_Xx )
| ( SX1 != sK2_SY5 ) ) ) )
= sK3_SY9 )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ( ^ [SY15: a] :
( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ SY15 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( SY15 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( SY15 != sK2_SY5 ) ) ) )
= ( sK3_SY9 @ sK4_SV1 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(17,plain,
( ( ! [SV2: a] :
( ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( SV2 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( SV2 != sK2_SY5 ) ) )
= ( sK3_SY9 @ sK4_SV1 @ SV2 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[16]) ).
thf(18,plain,
( ( ( ^ [SY15: a] :
( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ SY15 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( SY15 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( SY15 != sK2_SY5 ) ) ) )
= ( sK3_SY9 @ sK4_SV1 ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[17]) ).
thf(20,plain,
( ( ~ ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) )
| ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
| ~ ( ~ ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[19]) ).
thf(21,plain,
( ( ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) )
| ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ( ~ ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) )
| ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(25,plain,
( ( ~ ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(26,plain,
( ( ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(27,plain,
( ( ( ~ ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) ) )
= $true )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(28,plain,
( ( ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) ) )
= $true )
| ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(29,plain,
( ( ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
| ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $false )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
( ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $false )
| ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(31,plain,
( ( ( ~ ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) ) )
= $false )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(32,plain,
( ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $false )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(33,plain,
( ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $false )
| ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(34,plain,
( ( ( ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $false )
| ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(35,plain,
( ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
| ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) )
= $true )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(37,plain,
( ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true )
| ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(38,plain,
( ( ( ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(39,plain,
( ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true )
| ( ( ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(40,plain,
( ( ( ( sK4_SV1 != sK1_Xx ) )
= $true )
| ( ( ( sK5_SV2 != sK2_SY5 ) )
= $true )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(41,plain,
( ( ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(42,plain,
( ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $false )
| ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(43,plain,
( ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $false )
| ( ( ~ ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(44,plain,
( ( ( sK4_SV1 = sK1_Xx )
= $false )
| ( ( ( sK5_SV2 != sK2_SY5 ) )
= $true )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(45,plain,
( ( ( ( sK4_SV1 != sK1_Xx ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(46,plain,
( ( ( ( sK5_SV2 != sK2_SY5 ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(47,plain,
( ( ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) )
= $true )
| ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(48,plain,
( ( ( ~ ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $false )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(49,plain,
( ( ( sK5_SV2 = sK2_SY5 )
= $false )
| ( ( sK4_SV1 = sK1_Xx )
= $false )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(50,plain,
( ( ( sK4_SV1 = sK1_Xx )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(51,plain,
( ( ( sK5_SV2 = sK2_SY5 )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(52,plain,
( ( ( ( sK4_SV1 != sK1_Xx ) )
= $true )
| ( ( ( sK5_SV2 != sK2_SY5 ) )
= $true )
| ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(53,plain,
( ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $false )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(54,plain,
( ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $false )
| ( ( sK4_SV1 = sK1_Xx )
= $false )
| ( ( sK5_SV2 = sK2_SY5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(55,plain,
( ( ( sK4_SV1 = sK1_Xx )
= $false )
| ( ( ( sK5_SV2 != sK2_SY5 ) )
= $true )
| ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(56,plain,
( ( ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $false )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
( ( ( sK5_SV2 = sK2_SY5 )
= $false )
| ( ( sK4_SV1 = sK1_Xx )
= $false )
| ( ( ~ ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(58,plain,
( ( ( ( sK4_SV1 != sK1_Xx ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $false )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(59,plain,
( ( ( ( sK5_SV2 != sK2_SY5 ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $false )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(60,plain,
( ( ( ( sK4_SV1 != sK1_Xx )
| ( sK5_SV2 != sK2_SY5 ) )
= $false )
| ( ( sK4_SV1 = sK1_Xx )
= $false )
| ( ( sK5_SV2 = sK2_SY5 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(61,plain,
( ( ( sK4_SV1 = sK1_Xx )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $false )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(62,plain,
( ( ( sK5_SV2 = sK2_SY5 )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $false )
| ( ( ~ ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(63,plain,
( ( ( ( sK4_SV1 != sK1_Xx ) )
= $false )
| ( ( sK4_SV1 = sK1_Xx )
= $false )
| ( ( sK5_SV2 = sK2_SY5 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(64,plain,
( ( ( ( sK5_SV2 != sK2_SY5 ) )
= $false )
| ( ( sK4_SV1 = sK1_Xx )
= $false )
| ( ( sK5_SV2 = sK2_SY5 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(65,plain,
( ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $false )
| ( ( sK4_SV1 = sK1_Xx )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
( ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $false )
| ( ( sK5_SV2 = sK2_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(67,plain,
( ( ( sK4_SV1 = sK1_Xx )
= $true )
| ( ( sK4_SV1 = sK1_Xx )
= $false )
| ( ( sK5_SV2 = sK2_SY5 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(68,plain,
( ( ( sK5_SV2 = sK2_SY5 )
= $true )
| ( ( sK4_SV1 = sK1_Xx )
= $false )
| ( ( sK5_SV2 = sK2_SY5 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 @ sK5_SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(69,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,68,67,66,65,54,51,50,21,18,15]) ).
thf(70,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV065^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 28 15:14:26 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35
% 0.14/0.35 No.of.Axioms: 0
% 0.14/0.35
% 0.14/0.35 Length.of.Defs: 0
% 0.14/0.35
% 0.14/0.35 Contains.Choice.Funs: false
% 0.14/0.35 (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).
% 0.21/0.40
% 0.21/0.40 ********************************
% 0.21/0.40 * All subproblems solved! *
% 0.21/0.40 ********************************
% 0.21/0.40 % SZS status Theorem for /export/starexec/sandbox/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:69,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.40
% 0.21/0.40 %**** Beginning of derivation protocol ****
% 0.21/0.40 % SZS output start CNFRefutation
% See solution above
% 0.21/0.40
% 0.21/0.40 %**** End of derivation protocol ****
% 0.21/0.40 %**** no. of clauses in derivation: 70 ****
% 0.21/0.40 %**** clause counter: 69 ****
% 0.21/0.40
% 0.21/0.40 % SZS status Theorem for /export/starexec/sandbox/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:69,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------