TSTP Solution File: NUM636^2 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM636^2 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n016.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 11:53:28 EDT 2022
% Result : Theorem 150.36s 150.59s
% Output : CNFRefutation 150.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 8
% Syntax : Number of formulae : 133 ( 30 unt; 4 typ; 0 def)
% Number of atoms : 862 ( 589 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 754 ( 169 ~; 195 |; 4 &; 380 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 292 ( 123 ^ 169 !; 0 ?; 292 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_one,type,
one: $i ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_X,type,
sK2_X: ( $i > $o ) > $i ).
thf(tp_succ,type,
succ: $i > $i ).
thf(1,axiom,
! [M: $i > $o] :
( ( ( M @ one )
& ! [X: $i] :
( ( M @ X )
=> ( M @ ( succ @ X ) ) ) )
=> ! [Y: $i] : ( M @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( ( succ @ X )
= ( succ @ Y ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_injective) ).
thf(3,axiom,
! [X: $i] :
( ( succ @ X )
!= one ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_is_first) ).
thf(4,conjecture,
! [X: $i] :
( ( succ @ X )
!= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz2) ).
thf(5,negated_conjecture,
( ( ! [X: $i] :
( ( succ @ X )
!= X ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ! [X: $i] :
( ( succ @ X )
!= X ) )
= $false ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [M: $i > $o] :
( ( ( M @ one )
& ! [X: $i] :
( ( M @ X )
=> ( M @ ( succ @ X ) ) ) )
=> ! [Y: $i] : ( M @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ! [X: $i,Y: $i] :
( ( ( succ @ X )
= ( succ @ Y ) )
=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( ! [X: $i] :
( ( succ @ X )
!= one ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10,plain,
( ( ( ( succ @ sK1_X )
!= sK1_X ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(11,plain,
( ( ~ ( ( ( succ @ sK1_X )
!= sK1_X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(12,plain,
( ( ( succ @ sK1_X )
= sK1_X )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(13,plain,
( ( ! [M: $i > $o] :
( ( ( M @ ( sK2_X @ M ) )
& ~ ( M @ ( succ @ ( sK2_X @ M ) ) ) )
| ~ ( M @ one )
| ! [Y: $i] : ( M @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(14,plain,
( ( ! [X: $i,Y: $i] :
( ( ( succ @ X )
!= ( succ @ Y ) )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(15,plain,
( ( ! [X: $i] :
( ( succ @ X )
!= one ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(16,plain,
( ( ! [X: $i] :
( ( succ @ X )
!= one ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i] :
( ( ( succ @ X )
!= ( succ @ Y ) )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(18,plain,
( ( ! [M: $i > $o] :
( ( ( M @ ( sK2_X @ M ) )
& ~ ( M @ ( succ @ ( sK2_X @ M ) ) ) )
| ~ ( M @ one )
| ! [Y: $i] : ( M @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(19,plain,
( ( ( succ @ sK1_X )
= sK1_X )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(20,plain,
( ( ! [SX0: $i > $o] :
( ~ ( ~ ( SX0 @ ( sK2_X @ SX0 ) )
| ~ ~ ( SX0 @ ( succ @ ( sK2_X @ SX0 ) ) ) )
| ~ ( SX0 @ one )
| ! [SX1: $i] : ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(21,plain,
! [SV1: $i] :
( ( ( ( succ @ SV1 )
!= one ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(22,plain,
! [SV2: $i] :
( ( ! [SY170: $i] :
( ( ( succ @ SV2 )
!= ( succ @ SY170 ) )
| ( SV2 = SY170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(23,plain,
! [SV3: $i > $o] :
( ( ~ ( ~ ( SV3 @ ( sK2_X @ SV3 ) )
| ~ ~ ( SV3 @ ( succ @ ( sK2_X @ SV3 ) ) ) )
| ~ ( SV3 @ one )
| ! [SY171: $i] : ( SV3 @ SY171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: $i] :
( ( ( succ @ SV1 )
= one )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV4: $i,SV2: $i] :
( ( ( ( succ @ SV2 )
!= ( succ @ SV4 ) )
| ( SV2 = SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV3: $i > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK2_X @ SV3 ) )
| ~ ~ ( SV3 @ ( succ @ ( sK2_X @ SV3 ) ) ) )
| ~ ( SV3 @ one ) )
= $true )
| ( ( ! [SY171: $i] : ( SV3 @ SY171 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV4: $i,SV2: $i] :
( ( ( ( ( succ @ SV2 )
!= ( succ @ SV4 ) ) )
= $true )
| ( ( SV2 = SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(28,plain,
! [SV3: $i > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK2_X @ SV3 ) )
| ~ ~ ( SV3 @ ( succ @ ( sK2_X @ SV3 ) ) ) ) )
= $true )
| ( ( ~ ( SV3 @ one ) )
= $true )
| ( ( ! [SY171: $i] : ( SV3 @ SY171 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV4: $i,SV2: $i] :
( ( ( ( succ @ SV2 )
= ( succ @ SV4 ) )
= $false )
| ( ( SV2 = SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV3: $i > $o] :
( ( ( ~ ( SV3 @ ( sK2_X @ SV3 ) )
| ~ ~ ( SV3 @ ( succ @ ( sK2_X @ SV3 ) ) ) )
= $false )
| ( ( ~ ( SV3 @ one ) )
= $true )
| ( ( ! [SY171: $i] : ( SV3 @ SY171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV3: $i > $o] :
( ( ( ~ ( SV3 @ ( sK2_X @ SV3 ) ) )
= $false )
| ( ( ~ ( SV3 @ one ) )
= $true )
| ( ( ! [SY171: $i] : ( SV3 @ SY171 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(32,plain,
! [SV3: $i > $o] :
( ( ( ~ ~ ( SV3 @ ( succ @ ( sK2_X @ SV3 ) ) ) )
= $false )
| ( ( ~ ( SV3 @ one ) )
= $true )
| ( ( ! [SY171: $i] : ( SV3 @ SY171 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(33,plain,
! [SV3: $i > $o] :
( ( ( SV3 @ ( sK2_X @ SV3 ) )
= $true )
| ( ( ~ ( SV3 @ one ) )
= $true )
| ( ( ! [SY171: $i] : ( SV3 @ SY171 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(34,plain,
! [SV3: $i > $o] :
( ( ( ~ ( SV3 @ ( succ @ ( sK2_X @ SV3 ) ) ) )
= $true )
| ( ( ~ ( SV3 @ one ) )
= $true )
| ( ( ! [SY171: $i] : ( SV3 @ SY171 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(35,plain,
! [SV3: $i > $o] :
( ( ( SV3 @ one )
= $false )
| ( ( SV3 @ ( sK2_X @ SV3 ) )
= $true )
| ( ( ! [SY171: $i] : ( SV3 @ SY171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(36,plain,
! [SV3: $i > $o] :
( ( ( SV3 @ ( succ @ ( sK2_X @ SV3 ) ) )
= $false )
| ( ( ~ ( SV3 @ one ) )
= $true )
| ( ( ! [SY171: $i] : ( SV3 @ SY171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(37,plain,
! [SV5: $i,SV3: $i > $o] :
( ( ( SV3 @ SV5 )
= $true )
| ( ( SV3 @ ( sK2_X @ SV3 ) )
= $true )
| ( ( SV3 @ one )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(38,plain,
! [SV3: $i > $o] :
( ( ( SV3 @ one )
= $false )
| ( ( SV3 @ ( succ @ ( sK2_X @ SV3 ) ) )
= $false )
| ( ( ! [SY171: $i] : ( SV3 @ SY171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV6: $i,SV3: $i > $o] :
( ( ( SV3 @ SV6 )
= $true )
| ( ( SV3 @ ( succ @ ( sK2_X @ SV3 ) ) )
= $false )
| ( ( SV3 @ one )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(40,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( one = one )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[37:[bind(SV3,$thf( ^ [SV7: $i] : ( SV7 = one ) ))]]) ).
thf(41,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(sim,[status(thm)],[40]) ).
thf(42,plain,
! [SV6: $i] :
( ( ( SV6 = one )
= $true )
| ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) ) )
= one )
= $false )
| ( ( one = one )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[39:[bind(SV3,$thf( ^ [SV8: $i] : ( SV8 = one ) ))]]) ).
thf(43,plain,
! [SV6: $i] :
( ( ( SV6 = one )
= $true )
| ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) ) )
= one )
= $false ) ),
inference(sim,[status(thm)],[42]) ).
thf(46,plain,
! [SV5: $i,SV10: $i > $o] :
( ( ( ~ ( SV10 @ SV5 ) )
= $true )
| ( ( ~ ( SV10
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV10 @ one ) )
= $false ) ),
inference(prim_subst,[status(thm)],[37:[bind(SV3,$thf( ^ [SV9: $i] : ~ ( SV10 @ SV9 ) ))]]) ).
thf(47,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( one = one )
= $false ) ),
inference(prim_subst,[status(thm)],[37:[bind(SV3,$thf( ^ [SV13: $i] : ( SV13 = one ) ))]]) ).
thf(51,plain,
! [SV6: $i,SV10: $i > $o] :
( ( ( ~ ( SV10 @ SV6 ) )
= $true )
| ( ( ~ ( SV10
@ ( succ
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV10 @ one ) )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV3,$thf( ^ [SV9: $i] : ~ ( SV10 @ SV9 ) ))]]) ).
thf(54,plain,
! [SV5: $i] :
( ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( ( SV5 = one )
= ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
= $false ) ),
inference(fac_restr,[status(thm)],[41]) ).
thf(55,plain,
! [SV5: $i] :
( ( ( ~ ( ( SV5 = one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
| ~ ( ( SV5 != one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
!= one ) ) )
= $false )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[54]) ).
thf(56,plain,
! [SV5: $i] :
( ( ( ( SV5 = one )
= ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
= $false )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[54]) ).
thf(57,plain,
! [SV5: $i] :
( ( ( ~ ( ( SV5 = one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) ) )
= $false )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(59,plain,
! [SV5: $i] :
( ( ( ( SV5 = one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(61,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(65,plain,
( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ),
inference(extuni,[status(esa)],[56:[bind(SV5,$thf( sK2_X @ ^ [SX0: $i] : ( SX0 = one ) ))]]) ).
thf(67,plain,
! [SV5: $i,SV10: $i > $o] :
( ( ( SV10 @ SV5 )
= $false )
| ( ( ~ ( SV10
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV10 @ one ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(68,plain,
! [SV6: $i,SV10: $i > $o] :
( ( ( SV10 @ SV6 )
= $false )
| ( ( ~ ( SV10
@ ( succ
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV10 @ one ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(69,plain,
! [SV5: $i,SV10: $i > $o] :
( ( ( SV10
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( SV10 @ SV5 )
= $false )
| ( ( ~ ( SV10 @ one ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(70,plain,
! [SV6: $i,SV10: $i > $o] :
( ( ( SV10
@ ( succ
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( SV10 @ SV6 )
= $false )
| ( ( ~ ( SV10 @ one ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(71,plain,
! [SV5: $i,SV10: $i > $o] :
( ( ( SV10 @ one )
= $true )
| ( ( SV10 @ SV5 )
= $false )
| ( ( SV10
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(72,plain,
! [SV6: $i,SV10: $i > $o] :
( ( ( SV10 @ one )
= $true )
| ( ( SV10 @ SV6 )
= $false )
| ( ( SV10
@ ( succ
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( SV5 = one )
= $true ) ),
inference(extuni,[status(esa)],[47]) ).
thf(74,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(sim,[status(thm)],[61]) ).
thf(75,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( one = one )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[37:[bind(SV3,$thf( ^ [SV15: $i] : ( SV15 = one ) ))]]) ).
thf(76,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(sim,[status(thm)],[75]) ).
thf(77,plain,
! [SV6: $i] :
( ( ( SV6 = one )
= $true )
| ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) ) )
= one )
= $false )
| ( ( one = one )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[39:[bind(SV3,$thf( ^ [SV16: $i] : ( SV16 = one ) ))]]) ).
thf(78,plain,
! [SV6: $i] :
( ( ( SV6 = one )
= $true )
| ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) ) )
= one )
= $false ) ),
inference(sim,[status(thm)],[77]) ).
thf(79,plain,
! [SV5: $i] :
( ( ( one = SV5 )
= $true )
| ( ( SV5 = SV5 )
= $false )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV5 ) )
= SV5 )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[71:[bind(SV10,$thf( ^ [SV17: $i] : ( SV17 = SV5 ) ))]]) ).
thf(80,plain,
! [SV5: $i] :
( ( ( one = SV5 )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV5 ) )
= SV5 )
= $false ) ),
inference(sim,[status(thm)],[79]) ).
thf(81,plain,
! [SV6: $i] :
( ( ( one = SV6 )
= $true )
| ( ( SV6 = SV6 )
= $false )
| ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
= SV6 )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[72:[bind(SV10,$thf( ^ [SV18: $i] : ( SV18 = SV6 ) ))]]) ).
thf(82,plain,
! [SV6: $i] :
( ( ( one = SV6 )
= $true )
| ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
= SV6 )
= $true ) ),
inference(sim,[status(thm)],[81]) ).
thf(85,plain,
! [SV5: $i,SV26: $i > $o] :
( ( ( ~ ( SV26 @ SV5 ) )
= $true )
| ( ( ~ ( SV26
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV26 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV26 @ one ) )
= $false ) ),
inference(prim_subst,[status(thm)],[37:[bind(SV3,$thf( ^ [SV25: $i] : ~ ( SV26 @ SV25 ) ))]]) ).
thf(86,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( one = one )
= $false ) ),
inference(prim_subst,[status(thm)],[37:[bind(SV3,$thf( ^ [SV29: $i] : ( SV29 = one ) ))]]) ).
thf(90,plain,
! [SV6: $i,SV26: $i > $o] :
( ( ( ~ ( SV26 @ SV6 ) )
= $true )
| ( ( ~ ( SV26
@ ( succ
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV26 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV26 @ one ) )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV3,$thf( ^ [SV25: $i] : ~ ( SV26 @ SV25 ) ))]]) ).
thf(95,plain,
! [SV5: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ one ) )
= $true )
| ( ( ~ ( SV20 @ SV5 ) )
= $false )
| ( ( ~ ( SV20
@ ( sK2_X
@ ^ [SX0: $i] :
~ ~ ( SV20 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[71:[bind(SV10,$thf( ^ [SV19: $i] : ~ ( SV20 @ SV19 ) ))]]) ).
thf(100,plain,
! [SV6: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ one ) )
= $true )
| ( ( ~ ( SV20 @ SV6 ) )
= $false )
| ( ( ~ ( SV20
@ ( succ
@ ( sK2_X
@ ^ [SX0: $i] :
~ ~ ( SV20 @ SX0 ) ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[72:[bind(SV10,$thf( ^ [SV19: $i] : ~ ( SV20 @ SV19 ) ))]]) ).
thf(102,plain,
! [SV6: $i] :
( ( ( one = sK1_X )
= $true )
| ( ( SV6 = sK1_X )
= $false )
| ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != sK1_X ) ) )
= sK1_X )
= $true ) ),
inference(prim_subst,[status(thm)],[72:[bind(SV10,$thf( ^ [SV24: $i] : ( SV24 = sK1_X ) ))]]) ).
thf(103,plain,
! [SV5: $i] :
( ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( ( SV5 = one )
= ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
= $false ) ),
inference(fac_restr,[status(thm)],[76]) ).
thf(104,plain,
! [SV5: $i] :
( ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( ( SV5 = one )
= ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
= $false ) ),
inference(fac_restr,[status(thm)],[41]) ).
thf(105,plain,
! [SV6: $i] :
( ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
= SV6 )
= $true )
| ( ( ( one = SV6 )
= ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
= SV6 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[82]) ).
thf(106,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= ( SV5 = one ) )
= $false ) ),
inference(fac_restr,[status(thm)],[73]) ).
thf(107,plain,
! [SV5: $i] :
( ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( ( SV5 = one )
= ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
= $false ) ),
inference(fac_restr,[status(thm)],[74]) ).
thf(108,plain,
! [SV5: $i] :
( ( ( ~ ( ( SV5 = one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
| ~ ( ( SV5 != one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
!= one ) ) )
= $false )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[103]) ).
thf(109,plain,
! [SV5: $i] :
( ( ( ( SV5 = one )
= ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
= $false )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[103]) ).
thf(110,plain,
! [SV5: $i] :
( ( ( ~ ( ( SV5 = one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
| ~ ( ( SV5 != one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
!= one ) ) )
= $false )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[104]) ).
thf(111,plain,
! [SV5: $i] :
( ( ( ( SV5 = one )
= ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
= $false )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[104]) ).
thf(112,plain,
! [SV6: $i] :
( ( ( ~ ( ( one = SV6 )
| ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
= SV6 ) )
| ~ ( ( one != SV6 )
| ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
!= SV6 ) ) )
= $false )
| ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
= SV6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[105]) ).
thf(114,plain,
! [SV5: $i] :
( ( ( ~ ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
| ( SV5 = one ) )
| ~ ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
!= one )
| ( SV5 != one ) ) )
= $false )
| ( ( SV5 = one )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[106]) ).
thf(115,plain,
! [SV5: $i] :
( ( ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= ( SV5 = one ) )
= $false )
| ( ( SV5 = one )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[106]) ).
thf(116,plain,
! [SV5: $i] :
( ( ( ~ ( ( SV5 = one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
| ~ ( ( SV5 != one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
!= one ) ) )
= $false )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[107]) ).
thf(117,plain,
! [SV5: $i] :
( ( ( ( SV5 = one )
= ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
= $false )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[107]) ).
thf(118,plain,
! [SV5: $i] :
( ( ( ~ ( ( SV5 = one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) ) )
= $false )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(120,plain,
! [SV5: $i] :
( ( ( ~ ( ( SV5 = one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) ) )
= $false )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(122,plain,
! [SV6: $i] :
( ( ( ~ ( ( one = SV6 )
| ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
= SV6 ) ) )
= $false )
| ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
= SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(124,plain,
! [SV5: $i] :
( ( ( ~ ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
| ( SV5 = one ) ) )
= $false )
| ( ( SV5 = one )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(126,plain,
! [SV5: $i] :
( ( ( ~ ( ( SV5 = one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) ) )
= $false )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(128,plain,
! [SV5: $i] :
( ( ( ( SV5 = one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(130,plain,
! [SV5: $i] :
( ( ( ( SV5 = one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(132,plain,
! [SV6: $i] :
( ( ( ( one = SV6 )
| ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
= SV6 ) )
= $true )
| ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
= SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(134,plain,
! [SV5: $i] :
( ( ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
| ( SV5 = one ) )
= $true )
| ( ( SV5 = one )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(136,plain,
! [SV5: $i] :
( ( ( ( SV5 = one )
| ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one ) )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(138,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(140,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(142,plain,
! [SV6: $i] :
( ( ( one = SV6 )
= $true )
| ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
= SV6 )
= $true )
| ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
= SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(144,plain,
! [SV5: $i] :
( ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( SV5 = one )
= $true )
| ( ( SV5 = one )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(146,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(158,plain,
( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ),
inference(extuni,[status(esa)],[109:[bind(SV5,$thf( sK2_X @ ^ [SX0: $i] : ( SX0 = one ) ))]]) ).
thf(159,plain,
( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ),
inference(extuni,[status(esa)],[111:[bind(SV5,$thf( sK2_X @ ^ [SX0: $i] : ( SX0 = one ) ))]]) ).
thf(160,plain,
( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ),
inference(extuni,[status(esa)],[115:[bind(SV5,$thf( sK2_X @ ^ [SX0: $i] : ( SX0 = one ) ))]]) ).
thf(161,plain,
( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ),
inference(extuni,[status(esa)],[117:[bind(SV5,$thf( sK2_X @ ^ [SX0: $i] : ( SX0 = one ) ))]]) ).
thf(163,plain,
! [SV5: $i,SV26: $i > $o] :
( ( ( SV26 @ SV5 )
= $false )
| ( ( ~ ( SV26
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV26 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV26 @ one ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(164,plain,
! [SV6: $i,SV26: $i > $o] :
( ( ( SV26 @ SV6 )
= $false )
| ( ( ~ ( SV26
@ ( succ
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV26 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV26 @ one ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(165,plain,
! [SV5: $i,SV20: $i > $o] :
( ( ( SV20 @ one )
= $false )
| ( ( ~ ( SV20 @ SV5 ) )
= $false )
| ( ( ~ ( SV20
@ ( sK2_X
@ ^ [SX0: $i] :
~ ~ ( SV20 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(166,plain,
! [SV6: $i,SV20: $i > $o] :
( ( ( SV20 @ one )
= $false )
| ( ( ~ ( SV20 @ SV6 ) )
= $false )
| ( ( ~ ( SV20
@ ( succ
@ ( sK2_X
@ ^ [SX0: $i] :
~ ~ ( SV20 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(167,plain,
! [SV5: $i,SV26: $i > $o] :
( ( ( SV26
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV26 @ SX0 ) ) )
= $false )
| ( ( SV26 @ SV5 )
= $false )
| ( ( ~ ( SV26 @ one ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(168,plain,
! [SV6: $i,SV26: $i > $o] :
( ( ( SV26
@ ( succ
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV26 @ SX0 ) ) ) )
= $true )
| ( ( SV26 @ SV6 )
= $false )
| ( ( ~ ( SV26 @ one ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(169,plain,
! [SV5: $i,SV20: $i > $o] :
( ( ( SV20 @ SV5 )
= $true )
| ( ( SV20 @ one )
= $false )
| ( ( ~ ( SV20
@ ( sK2_X
@ ^ [SX0: $i] :
~ ~ ( SV20 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(170,plain,
! [SV6: $i,SV20: $i > $o] :
( ( ( SV20 @ SV6 )
= $true )
| ( ( SV20 @ one )
= $false )
| ( ( ~ ( SV20
@ ( succ
@ ( sK2_X
@ ^ [SX0: $i] :
~ ~ ( SV20 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(171,plain,
! [SV5: $i,SV26: $i > $o] :
( ( ( SV26 @ one )
= $true )
| ( ( SV26 @ SV5 )
= $false )
| ( ( SV26
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV26 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(172,plain,
! [SV6: $i,SV26: $i > $o] :
( ( ( SV26 @ one )
= $true )
| ( ( SV26 @ SV6 )
= $false )
| ( ( SV26
@ ( succ
@ ( sK2_X
@ ^ [SX0: $i] :
~ ( SV26 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(173,plain,
! [SV5: $i,SV20: $i > $o] :
( ( ( SV20
@ ( sK2_X
@ ^ [SX0: $i] :
~ ~ ( SV20 @ SX0 ) ) )
= $true )
| ( ( SV20 @ one )
= $false )
| ( ( SV20 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(174,plain,
! [SV6: $i,SV20: $i > $o] :
( ( ( SV20
@ ( succ
@ ( sK2_X
@ ^ [SX0: $i] :
~ ~ ( SV20 @ SX0 ) ) ) )
= $false )
| ( ( SV20 @ one )
= $false )
| ( ( SV20 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(175,plain,
! [SV5: $i] :
( ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( SV5 = one )
= $true ) ),
inference(extuni,[status(esa)],[86]) ).
thf(177,plain,
( ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != sK1_X ) ) )
= sK1_X )
= $true )
| ( ( one = sK1_X )
= $true ) ),
inference(extuni,[status(esa)],[102:[bind(SV6,$thf( sK1_X ))]]) ).
thf(178,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(sim,[status(thm)],[138]) ).
thf(179,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(sim,[status(thm)],[140]) ).
thf(180,plain,
! [SV6: $i] :
( ( ( one = SV6 )
= $true )
| ( ( ( succ
@ ( sK2_X
@ ^ [SX0: $i] : ( SX0 != SV6 ) ) )
= SV6 )
= $true ) ),
inference(sim,[status(thm)],[142]) ).
thf(181,plain,
! [SV5: $i] :
( ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true )
| ( ( SV5 = one )
= $true ) ),
inference(sim,[status(thm)],[144]) ).
thf(182,plain,
! [SV5: $i] :
( ( ( SV5 = one )
= $true )
| ( ( ( sK2_X
@ ^ [SX0: $i] : ( SX0 = one ) )
= one )
= $true ) ),
inference(sim,[status(thm)],[146]) ).
thf(183,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[19,182,181,180,179,178,177,175,174,173,172,171,161,160,159,158,82,80,78,76,74,73,72,71,65,43,41,39,37,29,24]) ).
thf(184,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM636^2 : TPTP v8.1.0. Released v3.7.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n016.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 06:55:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 3
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:3,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:5,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.39/0.57
% 0.39/0.57 Prim_subst applied to clause
% 0.39/0.57
% 0.39/0.57 95:[ 0:<SV19@SV18 = $true>-w(1)-i() 1:<SV19@(sK2_X@SV19) = $true>-w(1)-i() 2:<SV19@one = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 37)-o(AXIOM)-fv([ SV18 SV19 ])
% 0.39/0.59
% 0.39/0.59 Prim_subst applied to clause
% 0.39/0.59
% 0.39/0.59 95:[ 0:<SV19@SV18 = $true>-w(1)-i() 1:<SV19@(sK2_X@SV19) = $true>-w(1)-i() 2:<SV19@one = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 37)-o(AXIOM)-fv([ SV18 SV19 ])
% 0.39/0.63
% 0.39/0.63 Prim_subst applied to clause
% 0.39/0.63
% 0.39/0.63 95:[ 0:<SV19@SV18 = $true>-w(1)-i() 1:<SV19@(sK2_X@SV19) = $true>-w(1)-i() 2:<SV19@one = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 37)-o(AXIOM)-fv([ SV18 SV19 ])
% 0.56/0.74 ................
% 75.27/75.49 (rf:0,axioms:3,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:5,loop_count:0,foatp_calls:0,translation:fof_full)...
% 75.44/75.60
% 75.44/75.60 Prim_subst applied to clause
% 75.44/75.60
% 75.44/75.60 86:[ 0:<SV19@SV18 = $true>-w(1)-i() 1:<SV19@(sK2_X@SV19) = $true>-w(1)-i() 2:<SV19@one = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 33)-o(AXIOM)-fv([ SV18 SV19 ])
% 75.44/75.61
% 75.44/75.61 Prim_subst applied to clause
% 75.44/75.61
% 75.44/75.61 86:[ 0:<SV19@SV18 = $true>-w(1)-i() 1:<SV19@(sK2_X@SV19) = $true>-w(1)-i() 2:<SV19@one = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 33)-o(AXIOM)-fv([ SV18 SV19 ])
% 75.44/75.63
% 75.44/75.63 Prim_subst applied to clause
% 75.44/75.63
% 75.44/75.63 86:[ 0:<SV19@SV18 = $true>-w(1)-i() 1:<SV19@(sK2_X@SV19) = $true>-w(1)-i() 2:<SV19@one = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 33)-o(AXIOM)-fv([ SV18 SV19 ])
% 75.63/75.82 ..................................................
% 150.16/150.34 (rf:0,axioms:3,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:5,loop_count:0,foatp_calls:0,translation:fof_full).....
% 150.36/150.59
% 150.36/150.59 ********************************
% 150.36/150.59 * All subproblems solved! *
% 150.36/150.59 ********************************
% 150.36/150.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:183,loop_count:0,foatp_calls:3,translation:fof_full)
% 150.36/150.59
% 150.36/150.59 %**** Beginning of derivation protocol ****
% 150.36/150.59 % SZS output start CNFRefutation
% See solution above
% 150.36/150.59
% 150.36/150.59 %**** End of derivation protocol ****
% 150.36/150.59 %**** no. of clauses in derivation: 129 ****
% 150.36/150.59 %**** clause counter: 183 ****
% 150.36/150.59
% 150.36/150.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:183,loop_count:0,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------