TSTP Solution File: SYO314^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO314^5 : 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 : n025.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 : Thu Jul 21 17:33:20 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 87 ( 65 unt; 9 typ; 0 def)
% Number of atoms : 313 ( 102 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 785 ( 296 ~; 142 |; 58 &; 282 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 92 ( 92 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 176 ( 0 ^ 120 !; 56 ?; 176 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK1_Xp,type,
sK1_Xp: $i > $o ).
thf(tp_sK2_SY8,type,
sK2_SY8: $i > $o ).
thf(tp_sK3_SY11,type,
sK3_SY11: $i ).
thf(tp_sK4_SY13,type,
sK4_SY13: $i ).
thf(tp_sK5_Xp,type,
sK5_Xp: $i > $o ).
thf(tp_sK6_SY14,type,
sK6_SY14: $i > $o ).
thf(tp_sK7_SY17,type,
sK7_SY17: $i ).
thf(tp_sK8_SY19,type,
sK8_SY19: $i ).
thf(tp_z,type,
z: $i ).
thf(1,conjecture,
( ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ( Xp @ Xx )
& ~ ( Xp @ Xy )
& ( Xq @ Xy )
& ~ ( Xq @ z ) )
<=> ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ~ ( Xq @ z )
& ( Xq @ Xy )
& ( Xp @ Xx )
& ~ ( Xp @ Xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSILLYWFF2) ).
thf(2,negated_conjecture,
( ( ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ( Xp @ Xx )
& ~ ( Xp @ Xy )
& ( Xq @ Xy )
& ~ ( Xq @ z ) )
<=> ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ~ ( Xq @ z )
& ( Xq @ Xy )
& ( Xp @ Xx )
& ~ ( Xp @ Xy ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ( Xp @ Xx )
& ~ ( Xp @ Xy )
& ( Xq @ Xy )
& ~ ( Xq @ z ) )
<=> ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ~ ( Xq @ z )
& ( Xq @ Xy )
& ( Xp @ Xx )
& ~ ( Xp @ Xy ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ( Xp @ Xx )
& ~ ( Xp @ Xy )
& ( Xq @ Xy )
& ~ ( Xq @ z ) )
=> ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ~ ( Xq @ z )
& ( Xq @ Xy )
& ( Xp @ Xx )
& ~ ( Xp @ Xy ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
( ( ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ~ ( Xq @ z )
& ( Xq @ Xy )
& ( Xp @ Xx )
& ~ ( Xp @ Xy ) )
=> ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ( Xp @ Xx )
& ~ ( Xp @ Xy )
& ( Xq @ Xy )
& ~ ( Xq @ z ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ~ ( ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ( Xp @ Xx )
& ~ ( Xp @ Xy )
& ( Xq @ Xy )
& ~ ( Xq @ z ) )
=> ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ~ ( Xq @ z )
& ( Xq @ Xy )
& ( Xp @ Xx )
& ~ ( Xp @ Xy ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ( ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ~ ( Xq @ z )
& ( Xq @ Xy )
& ( Xp @ Xx )
& ~ ( Xp @ Xy ) )
=> ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ( Xp @ Xx )
& ~ ( Xp @ Xy )
& ( Xq @ Xy )
& ~ ( Xq @ z ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(8,plain,
( ( ( sK1_Xp @ sK3_SY11 )
& ~ ( sK1_Xp @ sK4_SY13 )
& ( sK2_SY8 @ sK4_SY13 )
& ~ ( sK2_SY8 @ z )
& ! [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ( Xq @ z )
| ~ ( Xq @ Xy )
| ~ ( Xp @ Xx )
| ( Xp @ Xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(9,plain,
( ( ~ ( sK6_SY14 @ z )
& ( sK6_SY14 @ sK8_SY19 )
& ( sK5_Xp @ sK7_SY17 )
& ~ ( sK5_Xp @ sK8_SY19 )
& ! [Xp: $i > $o,Xq: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ~ ( Xp @ Xx )
| ( Xp @ Xy )
| ~ ( Xq @ Xy ) )
| ( Xq @ z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(10,plain,
( ( ( sK1_Xp @ sK3_SY11 )
& ~ ( sK1_Xp @ sK4_SY13 )
& ( sK2_SY8 @ sK4_SY13 )
& ~ ( sK2_SY8 @ z )
& ! [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ( Xq @ z )
| ~ ( Xq @ Xy )
| ~ ( Xp @ Xx )
| ( Xp @ Xy ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_Xp @ sK3_SY11 )
| ~ ~ ( sK1_Xp @ sK4_SY13 ) )
| ~ ( sK2_SY8 @ sK4_SY13 ) )
| ~ ~ ( sK2_SY8 @ z ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o,SX2: $i,SX3: $i] :
( ( SX1 @ z )
| ~ ( SX1 @ SX3 )
| ~ ( SX0 @ SX2 )
| ( SX0 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_Xp @ sK3_SY11 )
| ~ ~ ( sK1_Xp @ sK4_SY13 ) )
| ~ ( sK2_SY8 @ sK4_SY13 ) )
| ~ ~ ( sK2_SY8 @ z ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o,SX2: $i,SX3: $i] :
( ( SX1 @ z )
| ~ ( SX1 @ SX3 )
| ~ ( SX0 @ SX2 )
| ( SX0 @ SX3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_Xp @ sK3_SY11 )
| ~ ~ ( sK1_Xp @ sK4_SY13 ) )
| ~ ( sK2_SY8 @ sK4_SY13 ) )
| ~ ~ ( sK2_SY8 @ z ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o,SX2: $i,SX3: $i] :
( ( SX1 @ z )
| ~ ( SX1 @ SX3 )
| ~ ( SX0 @ SX2 )
| ( SX0 @ SX3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_Xp @ sK3_SY11 )
| ~ ~ ( sK1_Xp @ sK4_SY13 ) )
| ~ ( sK2_SY8 @ sK4_SY13 ) )
| ~ ~ ( sK2_SY8 @ z ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o,SX2: $i,SX3: $i] :
( ( SX1 @ z )
| ~ ( SX1 @ SX3 )
| ~ ( SX0 @ SX2 )
| ( SX0 @ SX3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK1_Xp @ sK3_SY11 )
| ~ ~ ( sK1_Xp @ sK4_SY13 ) )
| ~ ( sK2_SY8 @ sK4_SY13 ) )
| ~ ~ ( sK2_SY8 @ z ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: $i > $o] :
( ( ! [SY20: $i > $o,SY21: $i,SY22: $i] :
( ( SY20 @ z )
| ~ ( SY20 @ SY22 )
| ~ ( SV1 @ SY21 )
| ( SV1 @ SY22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK1_Xp @ sK3_SY11 )
| ~ ~ ( sK1_Xp @ sK4_SY13 ) )
| ~ ( sK2_SY8 @ sK4_SY13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( sK2_SY8 @ z ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ! [SY23: $i,SY24: $i] :
( ( SV2 @ z )
| ~ ( SV2 @ SY24 )
| ~ ( SV1 @ SY23 )
| ( SV1 @ SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ( ~ ~ ( ~ ( sK1_Xp @ sK3_SY11 )
| ~ ~ ( sK1_Xp @ sK4_SY13 ) )
| ~ ( sK2_SY8 @ sK4_SY13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( sK2_SY8 @ z ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV3: $i,SV1: $i > $o,SV2: $i > $o] :
( ( ! [SY25: $i] :
( ( SV2 @ z )
| ~ ( SV2 @ SY25 )
| ~ ( SV1 @ SV3 )
| ( SV1 @ SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ~ ( ~ ( sK1_Xp @ sK3_SY11 )
| ~ ~ ( sK1_Xp @ sK4_SY13 ) )
| ~ ( sK2_SY8 @ sK4_SY13 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( sK2_SY8 @ z )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV3: $i,SV1: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( SV2 @ z )
| ~ ( SV2 @ SV4 )
| ~ ( SV1 @ SV3 )
| ( SV1 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ~ ( ~ ( sK1_Xp @ sK3_SY11 )
| ~ ~ ( sK1_Xp @ sK4_SY13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ( sK2_SY8 @ sK4_SY13 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(30,plain,
! [SV3: $i,SV1: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( ( SV2 @ z )
| ~ ( SV2 @ SV4 )
| ~ ( SV1 @ SV3 ) )
= $true )
| ( ( SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(31,plain,
( ( ~ ( ~ ( sK1_Xp @ sK3_SY11 )
| ~ ~ ( sK1_Xp @ sK4_SY13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(32,plain,
( ( sK2_SY8 @ sK4_SY13 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV3: $i,SV1: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( ( SV2 @ z )
| ~ ( SV2 @ SV4 ) )
= $true )
| ( ( ~ ( SV1 @ SV3 ) )
= $true )
| ( ( SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ~ ( sK1_Xp @ sK3_SY11 )
| ~ ~ ( sK1_Xp @ sK4_SY13 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV3: $i,SV1: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( SV2 @ z )
= $true )
| ( ( ~ ( SV2 @ SV4 ) )
= $true )
| ( ( ~ ( SV1 @ SV3 ) )
= $true )
| ( ( SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(36,plain,
( ( ~ ( sK1_Xp @ sK3_SY11 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(37,plain,
( ( ~ ~ ( sK1_Xp @ sK4_SY13 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(38,plain,
! [SV3: $i,SV1: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( SV2 @ SV4 )
= $false )
| ( ( SV2 @ z )
= $true )
| ( ( ~ ( SV1 @ SV3 ) )
= $true )
| ( ( SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(39,plain,
( ( sK1_Xp @ sK3_SY11 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(40,plain,
( ( ~ ( sK1_Xp @ sK4_SY13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(41,plain,
! [SV4: $i,SV2: $i > $o,SV3: $i,SV1: $i > $o] :
( ( ( SV1 @ SV3 )
= $false )
| ( ( SV2 @ z )
= $true )
| ( ( SV2 @ SV4 )
= $false )
| ( ( SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(42,plain,
( ( sK1_Xp @ sK4_SY13 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(43,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[26,42,41,39,32]) ).
thf(44,plain,
( ( ~ ( sK6_SY14 @ z )
& ( sK6_SY14 @ sK8_SY19 )
& ( sK5_Xp @ sK7_SY17 )
& ~ ( sK5_Xp @ sK8_SY19 )
& ! [Xp: $i > $o,Xq: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ~ ( Xp @ Xx )
| ( Xp @ Xy )
| ~ ( Xq @ Xy ) )
| ( Xq @ z ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(45,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( sK6_SY14 @ z )
| ~ ( sK6_SY14 @ sK8_SY19 ) )
| ~ ( sK5_Xp @ sK7_SY17 ) )
| ~ ~ ( sK5_Xp @ sK8_SY19 ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ! [SX2: $i,SX3: $i] :
( ~ ( SX0 @ SX2 )
| ( SX0 @ SX3 )
| ~ ( SX1 @ SX3 ) )
| ( SX1 @ z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(46,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( sK6_SY14 @ z )
| ~ ( sK6_SY14 @ sK8_SY19 ) )
| ~ ( sK5_Xp @ sK7_SY17 ) )
| ~ ~ ( sK5_Xp @ sK8_SY19 ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ! [SX2: $i,SX3: $i] :
( ~ ( SX0 @ SX2 )
| ( SX0 @ SX3 )
| ~ ( SX1 @ SX3 ) )
| ( SX1 @ z ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(47,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( sK6_SY14 @ z )
| ~ ( sK6_SY14 @ sK8_SY19 ) )
| ~ ( sK5_Xp @ sK7_SY17 ) )
| ~ ~ ( sK5_Xp @ sK8_SY19 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(48,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ! [SX2: $i,SX3: $i] :
( ~ ( SX0 @ SX2 )
| ( SX0 @ SX3 )
| ~ ( SX1 @ SX3 ) )
| ( SX1 @ z ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(49,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( sK6_SY14 @ z )
| ~ ( sK6_SY14 @ sK8_SY19 ) )
| ~ ( sK5_Xp @ sK7_SY17 ) )
| ~ ~ ( sK5_Xp @ sK8_SY19 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(50,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ! [SX2: $i,SX3: $i] :
( ~ ( SX0 @ SX2 )
| ( SX0 @ SX3 )
| ~ ( SX1 @ SX3 ) )
| ( SX1 @ z ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(51,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( sK6_SY14 @ z )
| ~ ( sK6_SY14 @ sK8_SY19 ) )
| ~ ( sK5_Xp @ sK7_SY17 ) )
| ~ ~ ( sK5_Xp @ sK8_SY19 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(52,plain,
! [SV5: $i > $o] :
( ( ! [SY26: $i > $o] :
( ! [SY27: $i,SY28: $i] :
( ~ ( SV5 @ SY27 )
| ( SV5 @ SY28 )
| ~ ( SY26 @ SY28 ) )
| ( SY26 @ z ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(53,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( sK6_SY14 @ z )
| ~ ( sK6_SY14 @ sK8_SY19 ) )
| ~ ( sK5_Xp @ sK7_SY17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(54,plain,
( ( ~ ~ ( sK5_Xp @ sK8_SY19 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(55,plain,
! [SV6: $i > $o,SV5: $i > $o] :
( ( ! [SY29: $i,SY30: $i] :
( ~ ( SV5 @ SY29 )
| ( SV5 @ SY30 )
| ~ ( SV6 @ SY30 ) )
| ( SV6 @ z ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(56,plain,
( ( ~ ( ~ ~ ( ~ ~ ( sK6_SY14 @ z )
| ~ ( sK6_SY14 @ sK8_SY19 ) )
| ~ ( sK5_Xp @ sK7_SY17 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(57,plain,
( ( ~ ( sK5_Xp @ sK8_SY19 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(58,plain,
! [SV6: $i > $o,SV5: $i > $o] :
( ( ( ! [SY29: $i,SY30: $i] :
( ~ ( SV5 @ SY29 )
| ( SV5 @ SY30 )
| ~ ( SV6 @ SY30 ) ) )
= $true )
| ( ( SV6 @ z )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(59,plain,
( ( ~ ~ ( ~ ~ ( sK6_SY14 @ z )
| ~ ( sK6_SY14 @ sK8_SY19 ) )
| ~ ( sK5_Xp @ sK7_SY17 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(60,plain,
( ( sK5_Xp @ sK8_SY19 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(61,plain,
! [SV6: $i > $o,SV7: $i,SV5: $i > $o] :
( ( ( ! [SY31: $i] :
( ~ ( SV5 @ SV7 )
| ( SV5 @ SY31 )
| ~ ( SV6 @ SY31 ) ) )
= $true )
| ( ( SV6 @ z )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(62,plain,
( ( ~ ~ ( ~ ~ ( sK6_SY14 @ z )
| ~ ( sK6_SY14 @ sK8_SY19 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(63,plain,
( ( ~ ( sK5_Xp @ sK7_SY17 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(64,plain,
! [SV6: $i > $o,SV8: $i,SV7: $i,SV5: $i > $o] :
( ( ( ~ ( SV5 @ SV7 )
| ( SV5 @ SV8 )
| ~ ( SV6 @ SV8 ) )
= $true )
| ( ( SV6 @ z )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(65,plain,
( ( ~ ( ~ ~ ( sK6_SY14 @ z )
| ~ ( sK6_SY14 @ sK8_SY19 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(66,plain,
( ( sK5_Xp @ sK7_SY17 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(67,plain,
! [SV6: $i > $o,SV8: $i,SV7: $i,SV5: $i > $o] :
( ( ( ~ ( SV5 @ SV7 )
| ( SV5 @ SV8 ) )
= $true )
| ( ( ~ ( SV6 @ SV8 ) )
= $true )
| ( ( SV6 @ z )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(68,plain,
( ( ~ ~ ( sK6_SY14 @ z )
| ~ ( sK6_SY14 @ sK8_SY19 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(69,plain,
! [SV6: $i > $o,SV8: $i,SV7: $i,SV5: $i > $o] :
( ( ( ~ ( SV5 @ SV7 ) )
= $true )
| ( ( SV5 @ SV8 )
= $true )
| ( ( ~ ( SV6 @ SV8 ) )
= $true )
| ( ( SV6 @ z )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(70,plain,
( ( ~ ~ ( sK6_SY14 @ z ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(71,plain,
( ( ~ ( sK6_SY14 @ sK8_SY19 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(72,plain,
! [SV6: $i > $o,SV8: $i,SV7: $i,SV5: $i > $o] :
( ( ( SV5 @ SV7 )
= $false )
| ( ( SV5 @ SV8 )
= $true )
| ( ( ~ ( SV6 @ SV8 ) )
= $true )
| ( ( SV6 @ z )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(73,plain,
( ( ~ ( sK6_SY14 @ z ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(74,plain,
( ( sK6_SY14 @ sK8_SY19 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(75,plain,
! [SV7: $i,SV5: $i > $o,SV8: $i,SV6: $i > $o] :
( ( ( SV6 @ SV8 )
= $false )
| ( ( SV5 @ SV8 )
= $true )
| ( ( SV5 @ SV7 )
= $false )
| ( ( SV6 @ z )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(76,plain,
( ( sK6_SY14 @ z )
= $false ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(77,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[60,76,75,74,66]) ).
thf(78,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[77,43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO314^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n025.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 : Sat Jul 9 00:17:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 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: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)...
% 0.19/0.41
% 0.19/0.41 ********************************
% 0.19/0.41 * All subproblems solved! *
% 0.19/0.41 ********************************
% 0.19/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:77,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.42
% 0.19/0.42 %**** Beginning of derivation protocol ****
% 0.19/0.42 % SZS output start CNFRefutation
% See solution above
% 0.19/0.42
% 0.19/0.42 %**** End of derivation protocol ****
% 0.19/0.42 %**** no. of clauses in derivation: 78 ****
% 0.19/0.42 %**** clause counter: 77 ****
% 0.19/0.42
% 0.19/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:77,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------