TSTP Solution File: SEV245^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV245^5 : 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 17:35:52 EDT 2022
% Result : Theorem 25.35s 25.74s
% Output : CNFRefutation 25.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 65 ( 28 unt; 4 typ; 0 def)
% Number of atoms : 385 ( 117 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 729 ( 126 ~; 102 |; 20 &; 442 @)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 105 ( 105 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 216 ( 43 ^ 159 !; 14 ?; 216 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK1_K,type,
sK1_K: ( $i > $o ) > $i > $o ).
thf(tp_sK2_SY15,type,
sK2_SY15: $i ).
thf(tp_sK3_SY21,type,
sK3_SY21: $i > $o ).
thf(tp_sK4_Xx0,type,
sK4_Xx0: ( $i > $o ) > ( $i > $o ) > $i ).
thf(1,conjecture,
! [K: ( $i > $o ) > $i > $o] :
( ! [Xx: $i > $o,Xy: $i > $o] :
( ! [Xx0: $i] :
( ( Xx @ Xx0 )
=> ( Xy @ Xx0 ) )
=> ! [Xx0: $i] :
( ( K @ Xx @ Xx0 )
=> ( K @ Xy @ Xx0 ) ) )
=> ! [Xx: $i] :
( ? [S: $i > $o] :
( ! [Xx0: $i] :
( ( S @ Xx0 )
=> ( K @ S @ Xx0 ) )
& ( S @ Xx ) )
=> ( K
@ ^ [Xx0: $i] :
? [S: $i > $o] :
( ! [Xx1: $i] :
( ( S @ Xx1 )
=> ( K @ S @ Xx1 ) )
& ( S @ Xx0 ) )
@ Xx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM2A_TWO_pme) ).
thf(2,negated_conjecture,
( ( ! [K: ( $i > $o ) > $i > $o] :
( ! [Xx: $i > $o,Xy: $i > $o] :
( ! [Xx0: $i] :
( ( Xx @ Xx0 )
=> ( Xy @ Xx0 ) )
=> ! [Xx0: $i] :
( ( K @ Xx @ Xx0 )
=> ( K @ Xy @ Xx0 ) ) )
=> ! [Xx: $i] :
( ? [S: $i > $o] :
( ! [Xx0: $i] :
( ( S @ Xx0 )
=> ( K @ S @ Xx0 ) )
& ( S @ Xx ) )
=> ( K
@ ^ [Xx0: $i] :
? [S: $i > $o] :
( ! [Xx1: $i] :
( ( S @ Xx1 )
=> ( K @ S @ Xx1 ) )
& ( S @ Xx0 ) )
@ Xx ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [K: ( $i > $o ) > $i > $o] :
( ! [Xx: $i > $o,Xy: $i > $o] :
( ! [Xx0: $i] :
( ( Xx @ Xx0 )
=> ( Xy @ Xx0 ) )
=> ! [Xx0: $i] :
( ( K @ Xx @ Xx0 )
=> ( K @ Xy @ Xx0 ) ) )
=> ! [Xx: $i] :
( ? [S: $i > $o] :
( ! [Xx0: $i] :
( ( S @ Xx0 )
=> ( K @ S @ Xx0 ) )
& ( S @ Xx ) )
=> ( K
@ ^ [Xx0: $i] :
? [S: $i > $o] :
( ! [Xx1: $i] :
( ( S @ Xx1 )
=> ( K @ S @ Xx1 ) )
& ( S @ Xx0 ) )
@ Xx ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY11: $i > $o,SY12: $i > $o] :
( ! [Xx0: $i] :
( ( SY11 @ Xx0 )
=> ( SY12 @ Xx0 ) )
=> ! [SY14: $i] :
( ( sK1_K @ SY11 @ SY14 )
=> ( sK1_K @ SY12 @ SY14 ) ) )
=> ! [SY15: $i] :
( ? [SY16: $i > $o] :
( ! [SY17: $i] :
( ( SY16 @ SY17 )
=> ( sK1_K @ SY16 @ SY17 ) )
& ( SY16 @ SY15 ) )
=> ( sK1_K
@ ^ [SY18: $i] :
? [SY19: $i > $o] :
( ! [SY20: $i] :
( ( SY19 @ SY20 )
=> ( sK1_K @ SY19 @ SY20 ) )
& ( SY19 @ SY18 ) )
@ SY15 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY11: $i > $o,SY12: $i > $o] :
( ! [Xx0: $i] :
( ( SY11 @ Xx0 )
=> ( SY12 @ Xx0 ) )
=> ! [SY14: $i] :
( ( sK1_K @ SY11 @ SY14 )
=> ( sK1_K @ SY12 @ SY14 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY15: $i] :
( ? [SY16: $i > $o] :
( ! [SY17: $i] :
( ( SY16 @ SY17 )
=> ( sK1_K @ SY16 @ SY17 ) )
& ( SY16 @ SY15 ) )
=> ( sK1_K
@ ^ [SY18: $i] :
? [SY19: $i > $o] :
( ! [SY20: $i] :
( ( SY19 @ SY20 )
=> ( sK1_K @ SY19 @ SY20 ) )
& ( SY19 @ SY18 ) )
@ SY15 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ! [SY15: $i] :
( ? [SY16: $i > $o] :
( ! [SY17: $i] :
( ( SY16 @ SY17 )
=> ( sK1_K @ SY16 @ SY17 ) )
& ( SY16 @ SY15 ) )
=> ( sK1_K
@ ^ [SY18: $i] :
? [SY19: $i > $o] :
( ! [SY20: $i] :
( ( SY19 @ SY20 )
=> ( sK1_K @ SY19 @ SY20 ) )
& ( SY19 @ SY18 ) )
@ SY15 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY26: $i] :
( ~ ( sK3_SY21 @ SY26 )
| ( sK1_K @ sK3_SY21 @ SY26 ) )
& ( sK3_SY21 @ sK2_SY15 )
& ~ ( sK1_K
@ ^ [SY18: $i] :
? [SY19: $i > $o] :
( ! [SY20: $i] :
( ( SY19 @ SY20 )
=> ( sK1_K @ SY19 @ SY20 ) )
& ( SY19 @ SY18 ) )
@ sK2_SY15 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [SY11: $i > $o,SY12: $i > $o] :
( ( ( SY11 @ ( sK4_Xx0 @ SY12 @ SY11 ) )
& ~ ( SY12 @ ( sK4_Xx0 @ SY12 @ SY11 ) ) )
| ! [SY14: $i] :
( ~ ( sK1_K @ SY11 @ SY14 )
| ( sK1_K @ SY12 @ SY14 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(10,plain,
( ( ! [SY11: $i > $o,SY12: $i > $o] :
( ( ( SY11 @ ( sK4_Xx0 @ SY12 @ SY11 ) )
& ~ ( SY12 @ ( sK4_Xx0 @ SY12 @ SY11 ) ) )
| ! [SY14: $i] :
( ~ ( sK1_K @ SY11 @ SY14 )
| ( sK1_K @ SY12 @ SY14 ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [SY26: $i] :
( ~ ( sK3_SY21 @ SY26 )
| ( sK1_K @ sK3_SY21 @ SY26 ) )
& ( sK3_SY21 @ sK2_SY15 )
& ~ ( sK1_K
@ ^ [SY18: $i] :
? [SY19: $i > $o] :
( ! [SY20: $i] :
( ( SY19 @ SY20 )
=> ( sK1_K @ SY19 @ SY20 ) )
& ( SY19 @ SY18 ) )
@ sK2_SY15 ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( sK3_SY21 @ SX0 )
| ( sK1_K @ sK3_SY21 @ SX0 ) )
| ~ ( sK3_SY21 @ sK2_SY15 ) )
| ~ ~ ( sK1_K
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( sK1_K @ SX1 @ SX2 ) )
| ~ ( SX1 @ SX0 ) )
@ sK2_SY15 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( SX0 @ ( sK4_Xx0 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK4_Xx0 @ SX1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( sK1_K @ SX0 @ SX2 )
| ( sK1_K @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(14,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( sK3_SY21 @ SX0 )
| ( sK1_K @ sK3_SY21 @ SX0 ) )
| ~ ( sK3_SY21 @ sK2_SY15 ) )
| ~ ~ ( sK1_K
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( sK1_K @ SX1 @ SX2 ) )
| ~ ( SX1 @ SX0 ) )
@ sK2_SY15 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: $i > $o] :
( ( ! [SY27: $i > $o] :
( ~ ( ~ ( SV1 @ ( sK4_Xx0 @ SY27 @ SV1 ) )
| ~ ~ ( SY27 @ ( sK4_Xx0 @ SY27 @ SV1 ) ) )
| ! [SY28: $i] :
( ~ ( sK1_K @ SV1 @ SY28 )
| ( sK1_K @ SY27 @ SY28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( sK3_SY21 @ SX0 )
| ( sK1_K @ sK3_SY21 @ SX0 ) )
| ~ ( sK3_SY21 @ sK2_SY15 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ( sK1_K
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( sK1_K @ SX1 @ SX2 ) )
| ~ ( SX1 @ SX0 ) )
@ sK2_SY15 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ~ ( ~ ( SV1 @ ( sK4_Xx0 @ SV2 @ SV1 ) )
| ~ ~ ( SV2 @ ( sK4_Xx0 @ SV2 @ SV1 ) ) )
| ! [SY29: $i] :
( ~ ( sK1_K @ SV1 @ SY29 )
| ( sK1_K @ SV2 @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( sK3_SY21 @ SX0 )
| ( sK1_K @ sK3_SY21 @ SX0 ) )
| ~ ( sK3_SY21 @ sK2_SY15 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ( sK1_K
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( sK1_K @ SX1 @ SX2 ) )
| ~ ( SX1 @ SX0 ) )
@ sK2_SY15 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK4_Xx0 @ SV2 @ SV1 ) )
| ~ ~ ( SV2 @ ( sK4_Xx0 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( ! [SY29: $i] :
( ~ ( sK1_K @ SV1 @ SY29 )
| ( sK1_K @ SV2 @ SY29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ! [SX0: $i] :
( ~ ( sK3_SY21 @ SX0 )
| ( sK1_K @ sK3_SY21 @ SX0 ) )
| ~ ( sK3_SY21 @ sK2_SY15 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( sK1_K
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( sK1_K @ SX1 @ SX2 ) )
| ~ ( SX1 @ SX0 ) )
@ sK2_SY15 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK4_Xx0 @ SV2 @ SV1 ) )
| ~ ~ ( SV2 @ ( sK4_Xx0 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ! [SY29: $i] :
( ~ ( sK1_K @ SV1 @ SY29 )
| ( sK1_K @ SV2 @ SY29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ! [SX0: $i] :
( ~ ( sK3_SY21 @ SX0 )
| ( sK1_K @ sK3_SY21 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ( sK3_SY21 @ sK2_SY15 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(27,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK4_Xx0 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ! [SY29: $i] :
( ~ ( sK1_K @ SV1 @ SY29 )
| ( sK1_K @ SV2 @ SY29 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(28,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( ~ ~ ( SV2 @ ( sK4_Xx0 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ! [SY29: $i] :
( ~ ( sK1_K @ SV1 @ SY29 )
| ( sK1_K @ SV2 @ SY29 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( ! [SX0: $i] :
( ~ ( sK3_SY21 @ SX0 )
| ( sK1_K @ sK3_SY21 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( sK3_SY21 @ sK2_SY15 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(31,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( SV1 @ ( sK4_Xx0 @ SV2 @ SV1 ) )
= $true )
| ( ( ! [SY29: $i] :
( ~ ( sK1_K @ SV1 @ SY29 )
| ( sK1_K @ SV2 @ SY29 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( ~ ( SV2 @ ( sK4_Xx0 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ! [SY29: $i] :
( ~ ( sK1_K @ SV1 @ SY29 )
| ( sK1_K @ SV2 @ SY29 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
! [SV3: $i] :
( ( ~ ( sK3_SY21 @ SV3 )
| ( sK1_K @ sK3_SY21 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( sK1_K @ SV1 @ SV4 )
| ( sK1_K @ SV2 @ SV4 ) )
= $true )
| ( ( SV1 @ ( sK4_Xx0 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( SV2 @ ( sK4_Xx0 @ SV2 @ SV1 ) )
= $false )
| ( ( ! [SY29: $i] :
( ~ ( sK1_K @ SV1 @ SY29 )
| ( sK1_K @ SV2 @ SY29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV3: $i] :
( ( ( ~ ( sK3_SY21 @ SV3 ) )
= $true )
| ( ( sK1_K @ sK3_SY21 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( sK1_K @ SV1 @ SV4 ) )
= $true )
| ( ( sK1_K @ SV2 @ SV4 )
= $true )
| ( ( SV1 @ ( sK4_Xx0 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV2: $i > $o,SV5: $i,SV1: $i > $o] :
( ( ( ~ ( sK1_K @ SV1 @ SV5 )
| ( sK1_K @ SV2 @ SV5 ) )
= $true )
| ( ( SV2 @ ( sK4_Xx0 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV3: $i] :
( ( ( sK3_SY21 @ SV3 )
= $false )
| ( ( sK1_K @ sK3_SY21 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( sK1_K @ SV1 @ SV4 )
= $false )
| ( ( sK1_K @ SV2 @ SV4 )
= $true )
| ( ( SV1 @ ( sK4_Xx0 @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV2: $i > $o,SV5: $i,SV1: $i > $o] :
( ( ( ~ ( sK1_K @ SV1 @ SV5 ) )
= $true )
| ( ( sK1_K @ SV2 @ SV5 )
= $true )
| ( ( SV2 @ ( sK4_Xx0 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(42,plain,
! [SV2: $i > $o,SV5: $i,SV1: $i > $o] :
( ( ( sK1_K @ SV1 @ SV5 )
= $false )
| ( ( sK1_K @ SV2 @ SV5 )
= $true )
| ( ( SV2 @ ( sK4_Xx0 @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(43,plain,
! [SV4: $i,SV1: $i > $o] :
( ( ( sK1_K @ SV1 @ SV4 )
= $false )
| ( ( sK1_K
@ ^ [SX0: $i] : $true
@ SV4 )
= $true )
| ( ( SV1
@ ( sK4_Xx0
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV2,$thf( ^ [SV9: $i] : $true ))]]) ).
thf(44,plain,
! [SV4: $i,SV1: $i > $o] :
( ( ( sK1_K @ SV1 @ SV4 )
= $false )
| ( ( sK1_K
@ ^ [SX0: $i] : $false
@ SV4 )
= $true )
| ( ( SV1
@ ( sK4_Xx0
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV2,$thf( ^ [SV8: $i] : $false ))]]) ).
thf(45,plain,
! [SV7: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( sK1_K @ SV1 @ SV4 )
= $false )
| ( ( sK1_K
@ ^ [SX0: $i] :
~ ( SV7 @ SX0 )
@ SV4 )
= $true )
| ( ( SV1
@ ( sK4_Xx0
@ ^ [SX0: $i] :
~ ( SV7 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV2,$thf( ^ [SV6: $i] : ~ ( SV7 @ SV6 ) ))]]) ).
thf(46,plain,
! [SV4: $i,SV1: $i > $o] :
( ( ( sK1_K @ SV1 @ SV4 )
= $false )
| ( ( sK1_K
@ ^ [SX0: $i] : ( SX0 = sK2_SY15 )
@ SV4 )
= $true )
| ( ( SV1
@ ( sK4_Xx0
@ ^ [SX0: $i] : ( SX0 = sK2_SY15 )
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV2,$thf( ^ [SV10: $i] : ( SV10 = sK2_SY15 ) ))]]) ).
thf(48,plain,
! [SV2: $i > $o,SV4: $i] :
( ( ( sK1_K
@ ^ [SX0: $i] : $false
@ SV4 )
= $false )
| ( ( sK1_K @ SV2 @ SV4 )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV1,$thf( ^ [SV13: $i] : $false ))]]) ).
thf(49,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( sK1_K
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 )
@ SV4 )
= $false )
| ( ( sK1_K @ SV2 @ SV4 )
= $true )
| ( ( ~ ( SV12
@ ( sK4_Xx0 @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(50,plain,
! [SV2: $i > $o,SV4: $i] :
( ( ( sK1_K
@ ^ [SX0: $i] : ( SX0 = sK2_SY15 )
@ SV4 )
= $false )
| ( ( sK1_K @ SV2 @ SV4 )
= $true )
| ( ( ( sK4_Xx0 @ SV2
@ ^ [SX0: $i] : ( SX0 = sK2_SY15 ) )
= sK2_SY15 )
= $true ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV1,$thf( ^ [SV15: $i] : ( SV15 = sK2_SY15 ) ))]]) ).
thf(51,plain,
! [SV5: $i,SV1: $i > $o] :
( ( ( sK1_K @ SV1 @ SV5 )
= $false )
| ( ( sK1_K
@ ^ [SX0: $i] : $true
@ SV5 )
= $true )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[42:[bind(SV2,$thf( ^ [SV9: $i] : $true ))]]) ).
thf(53,plain,
! [SV7: $i > $o,SV5: $i,SV1: $i > $o] :
( ( ( sK1_K @ SV1 @ SV5 )
= $false )
| ( ( sK1_K
@ ^ [SX0: $i] :
~ ( SV7 @ SX0 )
@ SV5 )
= $true )
| ( ( ~ ( SV7
@ ( sK4_Xx0
@ ^ [SX0: $i] :
~ ( SV7 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[42:[bind(SV2,$thf( ^ [SV6: $i] : ~ ( SV7 @ SV6 ) ))]]) ).
thf(55,plain,
! [SV2: $i > $o,SV5: $i] :
( ( ( sK1_K
@ ^ [SX0: $i] : $true
@ SV5 )
= $false )
| ( ( sK1_K @ SV2 @ SV5 )
= $true )
| ( ( SV2
@ ( sK4_Xx0 @ SV2
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[42:[bind(SV1,$thf( ^ [SV14: $i] : $true ))]]) ).
thf(56,plain,
! [SV2: $i > $o,SV5: $i] :
( ( ( sK1_K
@ ^ [SX0: $i] : $false
@ SV5 )
= $false )
| ( ( sK1_K @ SV2 @ SV5 )
= $true )
| ( ( SV2
@ ( sK4_Xx0 @ SV2
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(prim_subst,[status(thm)],[42:[bind(SV1,$thf( ^ [SV13: $i] : $false ))]]) ).
thf(57,plain,
! [SV2: $i > $o,SV5: $i,SV12: $i > $o] :
( ( ( sK1_K
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 )
@ SV5 )
= $false )
| ( ( sK1_K @ SV2 @ SV5 )
= $true )
| ( ( SV2
@ ( sK4_Xx0 @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[42:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(58,plain,
! [SV2: $i > $o,SV5: $i] :
( ( ( sK1_K
@ ^ [SX0: $i] : ( SX0 = sK2_SY15 )
@ SV5 )
= $false )
| ( ( sK1_K @ SV2 @ SV5 )
= $true )
| ( ( SV2
@ ( sK4_Xx0 @ SV2
@ ^ [SX0: $i] : ( SX0 = sK2_SY15 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[42:[bind(SV1,$thf( ^ [SV15: $i] : ( SV15 = sK2_SY15 ) ))]]) ).
thf(59,plain,
! [SV4: $i,SV2: $i > $o,SV12: $i > $o] :
( ( ( SV12
@ ( sK4_Xx0 @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( sK1_K @ SV2 @ SV4 )
= $true )
| ( ( sK1_K
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 )
@ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(60,plain,
! [SV5: $i,SV1: $i > $o,SV7: $i > $o] :
( ( ( SV7
@ ( sK4_Xx0
@ ^ [SX0: $i] :
~ ( SV7 @ SX0 )
@ SV1 ) )
= $true )
| ( ( sK1_K
@ ^ [SX0: $i] :
~ ( SV7 @ SX0 )
@ SV5 )
= $true )
| ( ( sK1_K @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(61,plain,
! [SV2: $i > $o,SV4: $i] :
( ( ( sK1_K
@ ^ [SX0: $i] : $false
@ SV4 )
= $false )
| ( ( sK1_K @ SV2 @ SV4 )
= $true ) ),
inference(sim,[status(thm)],[48]) ).
thf(62,plain,
! [SV5: $i,SV1: $i > $o] :
( ( ( sK1_K @ SV1 @ SV5 )
= $false )
| ( ( sK1_K
@ ^ [SX0: $i] : $true
@ SV5 )
= $true ) ),
inference(sim,[status(thm)],[51]) ).
thf(63,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,62,61,60,59,58,57,56,55,50,46,45,44,43,42,40,39,30]) ).
thf(64,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV245^5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 28 09:55:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.35
% 0.19/0.35 No.of.Axioms: 0
% 0.19/0.35
% 0.19/0.35 Length.of.Defs: 0
% 0.19/0.35
% 0.19/0.35 Contains.Choice.Funs: false
% 0.19/0.36 (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)...eprover: CPU time limit exceeded, terminating
% 25.15/25.41 .
% 25.35/25.74
% 25.35/25.74 ********************************
% 25.35/25.74 * All subproblems solved! *
% 25.35/25.74 ********************************
% 25.35/25.74 % 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:63,loop_count:0,foatp_calls:2,translation:fof_full)
% 25.35/25.74
% 25.35/25.74 %**** Beginning of derivation protocol ****
% 25.35/25.74 % SZS output start CNFRefutation
% See solution above
% 25.35/25.74
% 25.35/25.74 %**** End of derivation protocol ****
% 25.35/25.74 %**** no. of clauses in derivation: 61 ****
% 25.35/25.74 %**** clause counter: 63 ****
% 25.35/25.74
% 25.35/25.74 % 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:63,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------