TSTP Solution File: NUM816^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM816^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n017.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 : Mon Jul 18 11:55:45 EDT 2022
% Result : Theorem 150.21s 150.42s
% Output : CNFRefutation 150.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of formulae : 116 ( 22 unt; 5 typ; 2 def)
% Number of atoms : 749 ( 500 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 925 ( 166 ~; 183 |; 9 &; 552 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 47 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 168 ( 94 ^ 74 !; 0 ?; 168 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c0,type,
c0: $i ).
thf(tp_cEVEN1,type,
cEVEN1: $i > $o ).
thf(tp_cODD1,type,
cODD1: $i > $o ).
thf(tp_cS,type,
cS: $i > $i ).
thf(tp_sK1_Xx,type,
sK1_Xx: ( $i > $o ) > $i ).
thf(cEVEN1,definition,
( cEVEN1
= ( ^ [Xn: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ c0 )
& ! [Xx: $i] :
( ( Xp @ Xx )
=> ( Xp @ ( cS @ ( cS @ Xx ) ) ) ) )
=> ( Xp @ Xn ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEVEN1) ).
thf(cODD1,definition,
( cODD1
= ( ^ [Xn: $i] :
~ ( cEVEN1 @ Xn ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cODD1) ).
thf(1,conjecture,
( ( ! [Xu: $i] :
( ( cS @ Xu )
!= c0 )
& ! [Xv: $i,Xw: $i] :
( ( ( cS @ Xv )
= ( cS @ Xw ) )
=> ( Xv = Xw ) ) )
=> ( cODD1 @ ( cS @ c0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM406) ).
thf(2,negated_conjecture,
( ( ( ! [Xu: $i] :
( ( cS @ Xu )
!= c0 )
& ! [Xv: $i,Xw: $i] :
( ( ( cS @ Xv )
= ( cS @ Xw ) )
=> ( Xv = Xw ) ) )
=> ( cODD1 @ ( cS @ c0 ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [Xu: $i] :
( ( cS @ Xu )
!= c0 )
& ! [Xv: $i,Xw: $i] :
( ( ( cS @ Xv )
= ( cS @ Xw ) )
=> ( Xv = Xw ) ) )
=> ~ ! [SY157: $i > $o] :
( ( ( SY157 @ c0 )
& ! [Xx: $i] :
( ( SY157 @ Xx )
=> ( SY157 @ ( cS @ ( cS @ Xx ) ) ) ) )
=> ( SY157 @ ( cS @ c0 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,cEVEN1,cODD1]) ).
thf(4,plain,
( ( ! [Xu: $i] :
( ( cS @ Xu )
!= c0 ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xv: $i,Xw: $i] :
( ( ( cS @ Xv )
= ( cS @ Xw ) )
=> ( Xv = Xw ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [SY157: $i > $o] :
( ( ( SY157 @ c0 )
& ! [Xx: $i] :
( ( SY157 @ Xx )
=> ( SY157 @ ( cS @ ( cS @ Xx ) ) ) ) )
=> ( SY157 @ ( cS @ c0 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [SY157: $i > $o] :
( ( ( SY157 @ c0 )
& ! [Xx: $i] :
( ( SY157 @ Xx )
=> ( SY157 @ ( cS @ ( cS @ Xx ) ) ) ) )
=> ( SY157 @ ( cS @ c0 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY157: $i > $o] :
( ( ( SY157 @ ( sK1_Xx @ SY157 ) )
& ~ ( SY157 @ ( cS @ ( cS @ ( sK1_Xx @ SY157 ) ) ) ) )
| ~ ( SY157 @ c0 )
| ( SY157 @ ( cS @ c0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [Xu: $i] :
( ( cS @ Xu )
!= c0 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(10,plain,
( ( ! [Xv: $i,Xw: $i] :
( ( ( cS @ Xv )
!= ( cS @ Xw ) )
| ( Xv = Xw ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(11,plain,
( ( ! [Xv: $i,Xw: $i] :
( ( ( cS @ Xv )
!= ( cS @ Xw ) )
| ( Xv = Xw ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [Xu: $i] :
( ( cS @ Xu )
!= c0 ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ! [SY157: $i > $o] :
( ( ( SY157 @ ( sK1_Xx @ SY157 ) )
& ~ ( SY157 @ ( cS @ ( cS @ ( sK1_Xx @ SY157 ) ) ) ) )
| ~ ( SY157 @ c0 )
| ( SY157 @ ( cS @ c0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(14,plain,
( ( ! [SX0: $i > $o] :
( ~ ( ~ ( SX0 @ ( sK1_Xx @ SX0 ) )
| ~ ~ ( SX0 @ ( cS @ ( cS @ ( sK1_Xx @ SX0 ) ) ) ) )
| ~ ( SX0 @ c0 )
| ( SX0 @ ( cS @ c0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,cEVEN1,cODD1]) ).
thf(15,plain,
! [SV1: $i] :
( ( ! [SY164: $i] :
( ( ( cS @ SV1 )
!= ( cS @ SY164 ) )
| ( SV1 = SY164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(16,plain,
! [SV2: $i] :
( ( ( ( cS @ SV2 )
!= c0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(17,plain,
! [SV3: $i > $o] :
( ( ~ ( ~ ( SV3 @ ( sK1_Xx @ SV3 ) )
| ~ ~ ( SV3 @ ( cS @ ( cS @ ( sK1_Xx @ SV3 ) ) ) ) )
| ~ ( SV3 @ c0 )
| ( SV3 @ ( cS @ c0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV4: $i,SV1: $i] :
( ( ( ( cS @ SV1 )
!= ( cS @ SV4 ) )
| ( SV1 = SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV2: $i] :
( ( ( cS @ SV2 )
= c0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(20,plain,
! [SV3: $i > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK1_Xx @ SV3 ) )
| ~ ~ ( SV3 @ ( cS @ ( cS @ ( sK1_Xx @ SV3 ) ) ) ) )
| ~ ( SV3 @ c0 ) )
= $true )
| ( ( SV3 @ ( cS @ c0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV4: $i,SV1: $i] :
( ( ( ( ( cS @ SV1 )
!= ( cS @ SV4 ) ) )
= $true )
| ( ( SV1 = SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
! [SV3: $i > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK1_Xx @ SV3 ) )
| ~ ~ ( SV3 @ ( cS @ ( cS @ ( sK1_Xx @ SV3 ) ) ) ) ) )
= $true )
| ( ( ~ ( SV3 @ c0 ) )
= $true )
| ( ( SV3 @ ( cS @ c0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV4: $i,SV1: $i] :
( ( ( ( cS @ SV1 )
= ( cS @ SV4 ) )
= $false )
| ( ( SV1 = SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV3: $i > $o] :
( ( ( ~ ( SV3 @ ( sK1_Xx @ SV3 ) )
| ~ ~ ( SV3 @ ( cS @ ( cS @ ( sK1_Xx @ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( SV3 @ c0 ) )
= $true )
| ( ( SV3 @ ( cS @ c0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
! [SV3: $i > $o] :
( ( ( ~ ( SV3 @ ( sK1_Xx @ SV3 ) ) )
= $false )
| ( ( ~ ( SV3 @ c0 ) )
= $true )
| ( ( SV3 @ ( cS @ c0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(26,plain,
! [SV3: $i > $o] :
( ( ( ~ ~ ( SV3 @ ( cS @ ( cS @ ( sK1_Xx @ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( SV3 @ c0 ) )
= $true )
| ( ( SV3 @ ( cS @ c0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(27,plain,
! [SV3: $i > $o] :
( ( ( SV3 @ ( sK1_Xx @ SV3 ) )
= $true )
| ( ( ~ ( SV3 @ c0 ) )
= $true )
| ( ( SV3 @ ( cS @ c0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(28,plain,
! [SV3: $i > $o] :
( ( ( ~ ( SV3 @ ( cS @ ( cS @ ( sK1_Xx @ SV3 ) ) ) ) )
= $true )
| ( ( ~ ( SV3 @ c0 ) )
= $true )
| ( ( SV3 @ ( cS @ c0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(29,plain,
! [SV3: $i > $o] :
( ( ( SV3 @ c0 )
= $false )
| ( ( SV3 @ ( sK1_Xx @ SV3 ) )
= $true )
| ( ( SV3 @ ( cS @ c0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV3: $i > $o] :
( ( ( SV3 @ ( cS @ ( cS @ ( sK1_Xx @ SV3 ) ) ) )
= $false )
| ( ( ~ ( SV3 @ c0 ) )
= $true )
| ( ( SV3 @ ( cS @ c0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV3: $i > $o] :
( ( ( SV3 @ c0 )
= $false )
| ( ( SV3 @ ( cS @ ( cS @ ( sK1_Xx @ SV3 ) ) ) )
= $false )
| ( ( SV3 @ ( cS @ c0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(32,plain,
( ( ( c0 = c0 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[29:[bind(SV3,$thf( ^ [SV5: $i] : ( SV5 = c0 ) ))]]) ).
thf(33,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[32]) ).
thf(34,plain,
( ( ( c0 = c0 )
= $false )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) ) ) )
= c0 )
= $false )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[31:[bind(SV3,$thf( ^ [SV6: $i] : ( SV6 = c0 ) ))]]) ).
thf(35,plain,
( ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) ) ) )
= c0 )
= $false )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[34]) ).
thf(38,plain,
! [SV8: $i > $o] :
( ( ( ~ ( SV8 @ c0 ) )
= $false )
| ( ( ~ ( SV8
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV8 @ ( cS @ c0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[29:[bind(SV3,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(39,plain,
( ( ( c0 = c0 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(prim_subst,[status(thm)],[29:[bind(SV3,$thf( ^ [SV11: $i] : ( SV11 = c0 ) ))]]) ).
thf(42,plain,
! [SV8: $i > $o] :
( ( ( ~ ( SV8 @ c0 ) )
= $false )
| ( ( ~ ( SV8
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ~ ( SV8 @ ( cS @ c0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[31:[bind(SV3,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(44,plain,
( ( ( ( cS @ c0 )
= c0 )
= $true )
| ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= ( ( cS @ c0 )
= c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[33]) ).
thf(45,plain,
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( ( cS @ c0 )
= c0 ) )
| ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
!= c0 )
| ( ( cS @ c0 )
!= c0 ) ) )
= $false )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[44]) ).
thf(47,plain,
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( ( cS @ c0 )
= c0 ) ) )
= $false )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(49,plain,
( ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( ( cS @ c0 )
= c0 ) )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(51,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV8: $i > $o] :
( ( ( SV8 @ c0 )
= $true )
| ( ( ~ ( SV8
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV8 @ ( cS @ c0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(57,plain,
! [SV8: $i > $o] :
( ( ( SV8 @ c0 )
= $true )
| ( ( ~ ( SV8
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ~ ( SV8 @ ( cS @ c0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(58,plain,
! [SV8: $i > $o] :
( ( ( SV8
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false )
| ( ( SV8 @ c0 )
= $true )
| ( ( ~ ( SV8 @ ( cS @ c0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(59,plain,
! [SV8: $i > $o] :
( ( ( SV8
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) ) )
= $true )
| ( ( SV8 @ c0 )
= $true )
| ( ( ~ ( SV8 @ ( cS @ c0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(60,plain,
! [SV8: $i > $o] :
( ( ( SV8 @ ( cS @ c0 ) )
= $false )
| ( ( SV8 @ c0 )
= $true )
| ( ( SV8
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(61,plain,
! [SV8: $i > $o] :
( ( ( SV8 @ ( cS @ c0 ) )
= $false )
| ( ( SV8 @ c0 )
= $true )
| ( ( SV8
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(62,plain,
( ( ( ( cS @ c0 )
= c0 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extuni,[status(esa)],[39]) ).
thf(63,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[51]) ).
thf(64,plain,
( ( ( c0 = c0 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[29:[bind(SV3,$thf( ^ [SV12: $i] : ( SV12 = c0 ) ))]]) ).
thf(65,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[64]) ).
thf(66,plain,
( ( ( c0 = c0 )
= $false )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) ) ) )
= c0 )
= $false )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[31:[bind(SV3,$thf( ^ [SV13: $i] : ( SV13 = c0 ) ))]]) ).
thf(67,plain,
( ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) ) ) )
= c0 )
= $false )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[66]) ).
thf(68,plain,
( ( ( ( cS @ c0 )
= ( cS @ c0 ) )
= $false )
| ( ( c0
= ( cS @ c0 ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) )
= ( cS @ c0 ) )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[60:[bind(SV8,$thf( ^ [SV14: $i] : ( SV14 = ( cS @ c0 ) ) ))]]) ).
thf(69,plain,
( ( ( c0
= ( cS @ c0 ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) )
= ( cS @ c0 ) )
= $false ) ),
inference(sim,[status(thm)],[68]) ).
thf(70,plain,
( ( ( ( cS @ c0 )
= ( cS @ c0 ) )
= $false )
| ( ( c0
= ( cS @ c0 ) )
= $true )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
= ( cS @ c0 ) )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[61:[bind(SV8,$thf( ^ [SV15: $i] : ( SV15 = ( cS @ c0 ) ) ))]]) ).
thf(71,plain,
( ( ( c0
= ( cS @ c0 ) )
= $true )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
= ( cS @ c0 ) )
= $true ) ),
inference(sim,[status(thm)],[70]) ).
thf(74,plain,
! [SV22: $i > $o] :
( ( ( ~ ( SV22 @ c0 ) )
= $false )
| ( ( ~ ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV22 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV22 @ ( cS @ c0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[29:[bind(SV3,$thf( ^ [SV21: $i] : ~ ( SV22 @ SV21 ) ))]]) ).
thf(75,plain,
( ( ( c0 = c0 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(prim_subst,[status(thm)],[29:[bind(SV3,$thf( ^ [SV25: $i] : ( SV25 = c0 ) ))]]) ).
thf(78,plain,
! [SV22: $i > $o] :
( ( ( ~ ( SV22 @ c0 ) )
= $false )
| ( ( ~ ( SV22
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV22 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ~ ( SV22 @ ( cS @ c0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[31:[bind(SV3,$thf( ^ [SV21: $i] : ~ ( SV22 @ SV21 ) ))]]) ).
thf(82,plain,
! [SV17: $i > $o] :
( ( ( ~ ( SV17 @ ( cS @ c0 ) ) )
= $false )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ~ ( SV17
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV17 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV8,$thf( ^ [SV16: $i] : ~ ( SV17 @ SV16 ) ))]]) ).
thf(86,plain,
! [SV17: $i > $o] :
( ( ( ~ ( SV17 @ ( cS @ c0 ) ) )
= $false )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ~ ( SV17
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV17 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[61:[bind(SV8,$thf( ^ [SV16: $i] : ~ ( SV17 @ SV16 ) ))]]) ).
thf(88,plain,
( ( ( ( cS @ c0 )
= c0 )
= $true )
| ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= ( ( cS @ c0 )
= c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[65]) ).
thf(89,plain,
( ( ( ( cS @ c0 )
= c0 )
= $true )
| ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= ( ( cS @ c0 )
= c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[33]) ).
thf(90,plain,
( ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
= ( cS @ c0 ) )
= $true )
| ( ( ( c0
= ( cS @ c0 ) )
= ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
= ( cS @ c0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[71]) ).
thf(91,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( ( cS @ c0 )
= c0 )
= ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[62]) ).
thf(92,plain,
( ( ( ( cS @ c0 )
= c0 )
= $true )
| ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= ( ( cS @ c0 )
= c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[63]) ).
thf(93,plain,
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( ( cS @ c0 )
= c0 ) )
| ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
!= c0 )
| ( ( cS @ c0 )
!= c0 ) ) )
= $false )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[88]) ).
thf(95,plain,
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( ( cS @ c0 )
= c0 ) )
| ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
!= c0 )
| ( ( cS @ c0 )
!= c0 ) ) )
= $false )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[89]) ).
thf(97,plain,
( ( ( ~ ( ( c0
= ( cS @ c0 ) )
| ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
= ( cS @ c0 ) ) )
| ~ ( ( c0
!= ( cS @ c0 ) )
| ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
!= ( cS @ c0 ) ) ) )
= $false )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
= ( cS @ c0 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[90]) ).
thf(99,plain,
( ( ( ~ ( ( ( cS @ c0 )
= c0 )
| ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
| ~ ( ( ( cS @ c0 )
!= c0 )
| ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
!= c0 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[91]) ).
thf(101,plain,
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( ( cS @ c0 )
= c0 ) )
| ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
!= c0 )
| ( ( cS @ c0 )
!= c0 ) ) )
= $false )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[92]) ).
thf(103,plain,
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( ( cS @ c0 )
= c0 ) ) )
= $false )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(105,plain,
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( ( cS @ c0 )
= c0 ) ) )
= $false )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(107,plain,
( ( ( ~ ( ( c0
= ( cS @ c0 ) )
| ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
= ( cS @ c0 ) ) ) )
= $false )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
= ( cS @ c0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(109,plain,
( ( ( ~ ( ( ( cS @ c0 )
= c0 )
| ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(111,plain,
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( ( cS @ c0 )
= c0 ) ) )
= $false )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(113,plain,
( ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( ( cS @ c0 )
= c0 ) )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(115,plain,
( ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( ( cS @ c0 )
= c0 ) )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(117,plain,
( ( ( ( c0
= ( cS @ c0 ) )
| ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
= ( cS @ c0 ) ) )
= $true )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
= ( cS @ c0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(119,plain,
( ( ( ( ( cS @ c0 )
= c0 )
| ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(121,plain,
( ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( ( cS @ c0 )
= c0 ) )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(123,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(125,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(127,plain,
( ( ( c0
= ( cS @ c0 ) )
= $true )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
= ( cS @ c0 ) )
= $true )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
= ( cS @ c0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(129,plain,
( ( ( ( cS @ c0 )
= c0 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(131,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(144,plain,
! [SV22: $i > $o] :
( ( ( SV22 @ c0 )
= $true )
| ( ( ~ ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV22 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV22 @ ( cS @ c0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(145,plain,
! [SV22: $i > $o] :
( ( ( SV22 @ c0 )
= $true )
| ( ( ~ ( SV22
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV22 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ~ ( SV22 @ ( cS @ c0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(146,plain,
! [SV17: $i > $o] :
( ( ( SV17 @ ( cS @ c0 ) )
= $true )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ~ ( SV17
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV17 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(147,plain,
! [SV17: $i > $o] :
( ( ( SV17 @ ( cS @ c0 ) )
= $true )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ~ ( SV17
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV17 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(148,plain,
! [SV22: $i > $o] :
( ( ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV22 @ SX0 ) ) )
= $false )
| ( ( SV22 @ c0 )
= $true )
| ( ( ~ ( SV22 @ ( cS @ c0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(149,plain,
! [SV22: $i > $o] :
( ( ( SV22
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV22 @ SX0 ) ) ) ) )
= $true )
| ( ( SV22 @ c0 )
= $true )
| ( ( ~ ( SV22 @ ( cS @ c0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(150,plain,
! [SV17: $i > $o] :
( ( ( SV17 @ c0 )
= $false )
| ( ( SV17 @ ( cS @ c0 ) )
= $true )
| ( ( ~ ( SV17
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV17 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(151,plain,
! [SV17: $i > $o] :
( ( ( SV17 @ c0 )
= $false )
| ( ( SV17 @ ( cS @ c0 ) )
= $true )
| ( ( ~ ( SV17
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV17 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(152,plain,
! [SV22: $i > $o] :
( ( ( SV22 @ ( cS @ c0 ) )
= $false )
| ( ( SV22 @ c0 )
= $true )
| ( ( SV22
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV22 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(153,plain,
! [SV22: $i > $o] :
( ( ( SV22 @ ( cS @ c0 ) )
= $false )
| ( ( SV22 @ c0 )
= $true )
| ( ( SV22
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV22 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(154,plain,
! [SV17: $i > $o] :
( ( ( SV17
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV17 @ SX0 ) ) )
= $true )
| ( ( SV17 @ ( cS @ c0 ) )
= $true )
| ( ( SV17 @ c0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(155,plain,
! [SV17: $i > $o] :
( ( ( SV17
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV17 @ SX0 ) ) ) ) )
= $false )
| ( ( SV17 @ ( cS @ c0 ) )
= $true )
| ( ( SV17 @ c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(156,plain,
( ( ( ( cS @ c0 )
= c0 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extuni,[status(esa)],[75]) ).
thf(157,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[123]) ).
thf(158,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[125]) ).
thf(159,plain,
( ( ( c0
= ( cS @ c0 ) )
= $true )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
( SX0
!= ( cS @ c0 ) ) ) ) )
= ( cS @ c0 ) )
= $true ) ),
inference(sim,[status(thm)],[127]) ).
thf(160,plain,
( ( ( ( cS @ c0 )
= c0 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[129]) ).
thf(161,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( cS @ c0 )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[131]) ).
thf(162,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[19,161,160,159,158,157,156,155,154,153,152,71,69,67,65,63,62,61,60,35,33,31,29,23]) ).
thf(163,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM816^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 15:15:13 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: 324
% 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)..
% 0.18/0.54
% 0.18/0.54 Prim_subst applied to clause
% 0.18/0.54
% 0.18/0.54 76:[ 0:<SV15@c0 = $false>-w(1)-i() 1:<SV15@(sK1_Xx@SV15) = $true>-w(1)-i() 2:<SV15@(cS@c0) = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 29)-o(CONJECTURE)-fv([ SV15 ])
% 0.18/0.56
% 0.18/0.56 Prim_subst applied to clause
% 0.18/0.56
% 0.18/0.56 76:[ 0:<SV15@c0 = $false>-w(1)-i() 1:<SV15@(sK1_Xx@SV15) = $true>-w(1)-i() 2:<SV15@(cS@c0) = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 29)-o(CONJECTURE)-fv([ SV15 ])
% 0.18/0.58
% 0.18/0.58 Prim_subst applied to clause
% 0.18/0.58
% 0.18/0.58 76:[ 0:<SV15@c0 = $false>-w(1)-i() 1:<SV15@(sK1_Xx@SV15) = $true>-w(1)-i() 2:<SV15@(cS@c0) = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 29)-o(CONJECTURE)-fv([ SV15 ])
% 0.42/0.61 .................
% 75.02/75.27 (rf:0,axioms:0,ps:2,u:1,ude:false,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)...
% 75.12/75.38
% 75.12/75.38 Prim_subst applied to clause
% 75.12/75.38
% 75.12/75.38 73:[ 0:<SV15@(cS@(cS@(sK1_SY101@SV15))) = $false>-w(1)-i() 1:<SV15@c0 = $false>-w(1)-i() 2:<SV15@(cS@c0) = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 30)-o(CONJECTURE)-fv([ SV15 ])
% 75.12/75.39
% 75.12/75.39 Prim_subst applied to clause
% 75.12/75.39
% 75.12/75.39 73:[ 0:<SV15@(cS@(cS@(sK1_SY101@SV15))) = $false>-w(1)-i() 1:<SV15@c0 = $false>-w(1)-i() 2:<SV15@(cS@c0) = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 30)-o(CONJECTURE)-fv([ SV15 ])
% 75.22/75.40
% 75.22/75.40 Prim_subst applied to clause
% 75.22/75.40
% 75.22/75.40 73:[ 0:<SV15@(cS@(cS@(sK1_SY101@SV15))) = $false>-w(1)-i() 1:<SV15@c0 = $false>-w(1)-i() 2:<SV15@(cS@c0) = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 30)-o(CONJECTURE)-fv([ SV15 ])
% 75.22/75.47 ...........................................
% 150.01/150.24 (rf:0,axioms:0,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,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)....
% 150.21/150.42
% 150.21/150.42 ********************************
% 150.21/150.42 * All subproblems solved! *
% 150.21/150.42 ********************************
% 150.21/150.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,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:162,loop_count:0,foatp_calls:3,translation:fof_full)
% 150.21/150.42
% 150.21/150.42 %**** Beginning of derivation protocol ****
% 150.21/150.42 % SZS output start CNFRefutation
% See solution above
% 150.21/150.42
% 150.21/150.42 %**** End of derivation protocol ****
% 150.21/150.42 %**** no. of clauses in derivation: 109 ****
% 150.21/150.42 %**** clause counter: 162 ****
% 150.21/150.42
% 150.21/150.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,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:162,loop_count:0,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------