TSTP Solution File: LCL664+1.001 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL664+1.001 : 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 : n015.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 : Sun Jul 17 12:25:16 EDT 2022
% Result : Theorem 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 14
% Syntax : Number of formulae : 96 ( 75 unt; 12 typ; 0 def)
% Number of atoms : 558 ( 89 equ; 0 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 1423 ( 560 ~; 274 |; 22 &; 567 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 139 ( 0 ^ 135 !; 4 ?; 139 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p11,type,
p11: $i > $o ).
thf(tp_p12,type,
p12: $i > $o ).
thf(tp_p13,type,
p13: $i > $o ).
thf(tp_p14,type,
p14: $i > $o ).
thf(tp_p15,type,
p15: $i > $o ).
thf(tp_p16,type,
p16: $i > $o ).
thf(tp_r1,type,
r1: $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY13,type,
sK2_SY13: $i ).
thf(tp_sK3_SY12,type,
sK3_SY12: $i ).
thf(tp_sK4_SY11,type,
sK4_SY11: $i ).
thf(tp_sK5_SY10,type,
sK5_SY10: $i ).
thf(1,axiom,
! [X: $i] : ( r1 @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(2,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p16 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p12 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p14 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p12 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p15 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p13 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p12 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p11 @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(3,negated_conjecture,
( ( ~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p16 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p12 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p14 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p12 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p15 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p13 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p12 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p11 @ Y ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p16 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p12 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p14 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p12 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p15 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p13 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p12 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p11 @ Y ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(6,plain,
( ( ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p16 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p12 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p14 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p12 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p15 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p13 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p12 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p11 @ Y ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ( r1 @ sK1_X @ sK5_SY10 )
& ~ ( p11 @ sK5_SY10 )
& ( r1 @ sK1_X @ sK4_SY11 )
& ~ ( p12 @ sK4_SY11 )
& ( r1 @ sK1_X @ sK3_SY12 )
& ~ ( p13 @ sK3_SY12 )
& ( r1 @ sK1_X @ sK2_SY13 )
& ~ ( p15 @ sK2_SY13 )
& ! [SY14: $i] :
( ~ ( r1 @ sK1_X @ SY14 )
| ( p16 @ SY14 ) )
& ! [SY15: $i] :
( ~ ( r1 @ sK1_X @ SY15 )
| ( p12 @ SY15 ) )
& ! [SY16: $i] :
( ~ ( r1 @ sK1_X @ SY16 )
| ( p14 @ SY16 ) )
& ! [SY17: $i] :
( ~ ( r1 @ sK1_X @ SY17 )
| ( p12 @ SY17 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(9,plain,
( ( ( r1 @ sK1_X @ sK5_SY10 )
& ~ ( p11 @ sK5_SY10 )
& ( r1 @ sK1_X @ sK4_SY11 )
& ~ ( p12 @ sK4_SY11 )
& ( r1 @ sK1_X @ sK3_SY12 )
& ~ ( p13 @ sK3_SY12 )
& ( r1 @ sK1_X @ sK2_SY13 )
& ~ ( p15 @ sK2_SY13 )
& ! [SY14: $i] :
( ~ ( r1 @ sK1_X @ SY14 )
| ( p16 @ SY14 ) )
& ! [SY15: $i] :
( ~ ( r1 @ sK1_X @ SY15 )
| ( p12 @ SY15 ) )
& ! [SY16: $i] :
( ~ ( r1 @ sK1_X @ SY16 )
| ( p14 @ SY16 ) )
& ! [SY17: $i] :
( ~ ( r1 @ sK1_X @ SY17 )
| ( p12 @ SY17 ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK5_SY10 )
| ~ ~ ( p11 @ sK5_SY10 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY11 )
| ~ ~ ( p12 @ sK4_SY11 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK3_SY12 )
| ~ ~ ( p13 @ sK3_SY12 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: $i] :
( ( r1 @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK5_SY10 )
| ~ ~ ( p11 @ sK5_SY10 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY11 )
| ~ ~ ( p12 @ sK4_SY11 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK3_SY12 )
| ~ ~ ( p13 @ sK3_SY12 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK5_SY10 )
| ~ ~ ( p11 @ sK5_SY10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY11 )
| ~ ~ ( p12 @ sK4_SY11 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK3_SY12 )
| ~ ~ ( p13 @ sK3_SY12 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK5_SY10 )
| ~ ~ ( p11 @ sK5_SY10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY11 )
| ~ ~ ( p12 @ sK4_SY11 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK3_SY12 )
| ~ ~ ( p13 @ sK3_SY12 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( r1 @ sK1_X @ sK5_SY10 )
| ~ ~ ( p11 @ sK5_SY10 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY11 )
| ~ ~ ( p12 @ sK4_SY11 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK3_SY12 )
| ~ ~ ( p13 @ sK3_SY12 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ( r1 @ sK1_X @ sK5_SY10 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( p11 @ sK5_SY10 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY11 )
| ~ ~ ( p12 @ sK4_SY11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK3_SY12 )
| ~ ~ ( p13 @ sK3_SY12 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(23,plain,
( ( r1 @ sK1_X @ sK5_SY10 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ( p11 @ sK5_SY10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK4_SY11 )
| ~ ~ ( p12 @ sK4_SY11 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK3_SY12 )
| ~ ~ ( p13 @ sK3_SY12 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( p11 @ sK5_SY10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ( r1 @ sK1_X @ sK4_SY11 )
| ~ ~ ( p12 @ sK4_SY11 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK3_SY12 )
| ~ ~ ( p13 @ sK3_SY12 ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ ( r1 @ sK1_X @ sK4_SY11 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(31,plain,
( ( ~ ~ ( p12 @ sK4_SY11 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(32,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK3_SY12 )
| ~ ~ ( p13 @ sK3_SY12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(33,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(34,plain,
( ( r1 @ sK1_X @ sK4_SY11 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
( ( ~ ( p12 @ sK4_SY11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK3_SY12 )
| ~ ~ ( p13 @ sK3_SY12 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(37,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(38,plain,
( ( p12 @ sK4_SY11 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(39,plain,
( ( ~ ( r1 @ sK1_X @ sK3_SY12 )
| ~ ~ ( p13 @ sK3_SY12 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(40,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(41,plain,
( ( ~ ( r1 @ sK1_X @ sK3_SY12 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(42,plain,
( ( ~ ~ ( p13 @ sK3_SY12 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(43,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(44,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(45,plain,
( ( r1 @ sK1_X @ sK3_SY12 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(46,plain,
( ( ~ ( p13 @ sK3_SY12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(47,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(48,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(49,plain,
( ( p13 @ sK3_SY12 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(50,plain,
( ( ~ ( r1 @ sK1_X @ sK2_SY13 )
| ~ ~ ( p15 @ sK2_SY13 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(51,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(52,plain,
( ( ~ ( r1 @ sK1_X @ sK2_SY13 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(53,plain,
( ( ~ ~ ( p15 @ sK2_SY13 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(54,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(55,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(56,plain,
( ( r1 @ sK1_X @ sK2_SY13 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(57,plain,
( ( ~ ( p15 @ sK2_SY13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(58,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(59,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(60,plain,
( ( p15 @ sK2_SY13 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(61,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(62,plain,
! [SV2: $i] :
( ( ~ ( r1 @ sK1_X @ SV2 )
| ( p12 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(63,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(64,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(65,plain,
! [SV2: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV2 ) )
= $true )
| ( ( p12 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(66,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(67,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p14 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(68,plain,
! [SV2: $i] :
( ( ( r1 @ sK1_X @ SV2 )
= $false )
| ( ( p12 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(69,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(70,plain,
! [SV3: $i] :
( ( ~ ( r1 @ sK1_X @ SV3 )
| ( p14 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(71,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(72,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(73,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV3 ) )
= $true )
| ( ( p14 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(74,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p16 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(75,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p12 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(76,plain,
! [SV3: $i] :
( ( ( r1 @ sK1_X @ SV3 )
= $false )
| ( ( p14 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(77,plain,
! [SV4: $i] :
( ( ~ ( r1 @ sK1_X @ SV4 )
| ( p16 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(78,plain,
! [SV5: $i] :
( ( ~ ( r1 @ sK1_X @ SV5 )
| ( p12 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(79,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV4 ) )
= $true )
| ( ( p16 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(80,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV5 ) )
= $true )
| ( ( p12 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(81,plain,
! [SV4: $i] :
( ( ( r1 @ sK1_X @ SV4 )
= $false )
| ( ( p16 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(82,plain,
! [SV5: $i] :
( ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( p12 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(83,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,82,81,76,68,60,56,49,45,38,34,27,23]) ).
thf(84,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL664+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n015.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 : Mon Jul 4 08:40:01 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 1
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.20/0.42
% 0.20/0.42 ********************************
% 0.20/0.42 * All subproblems solved! *
% 0.20/0.42 ********************************
% 0.20/0.42 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:83,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.42
% 0.20/0.42 %**** Beginning of derivation protocol ****
% 0.20/0.42 % SZS output start CNFRefutation
% See solution above
% 0.20/0.42
% 0.20/0.42 %**** End of derivation protocol ****
% 0.20/0.42 %**** no. of clauses in derivation: 84 ****
% 0.20/0.42 %**** clause counter: 83 ****
% 0.20/0.42
% 0.20/0.42 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:83,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------