TSTP Solution File: SYO376^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO376^5 : 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 : n018.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 17:33:40 EDT 2022
% Result : Theorem 0.20s 0.47s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 167 ( 30 unt; 9 typ; 0 def)
% Number of atoms : 1973 ( 541 equ; 0 cnn)
% Maximal formula atoms : 10 ( 12 avg)
% Number of connectives : 823 ( 38 ~; 381 |; 4 &; 398 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 26 ( 26 ^ 0 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cF,type,
cF: $o > $o ).
thf(tp_cG,type,
cG: $o > $o ).
thf(tp_cP,type,
cP: ( $o > $o ) > $o ).
thf(tp_sK1_E,type,
sK1_E: $o ).
thf(tp_sK2_E,type,
sK2_E: $o ).
thf(tp_sK3_E,type,
sK3_E: $o ).
thf(tp_sK4_E,type,
sK4_E: $o ).
thf(tp_sK5_E,type,
sK5_E: $o ).
thf(tp_sK6_E,type,
sK6_E: $o ).
thf(1,conjecture,
( ( ( cP @ cF )
& ( cP @ cG ) )
=> ( ( cP
@ ^ [Xx: $o] :
( ( cF @ Xx )
| ( cG @ Xx ) ) )
| ( cP
@ ^ [Xx: $o] :
( ~ ( cF @ Xx )
| ( cG @ Xx ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM627) ).
thf(2,negated_conjecture,
( ( ( ( cP @ cF )
& ( cP @ cG ) )
=> ( ( cP
@ ^ [Xx: $o] :
( ( cF @ Xx )
| ( cG @ Xx ) ) )
| ( cP
@ ^ [Xx: $o] :
( ~ ( cF @ Xx )
| ( cG @ Xx ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( cP @ cF )
= $true ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(4,plain,
( ( cP @ cG )
= $true ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(5,plain,
( ( ( cP
@ ^ [Xx: $o] :
( ( cF @ Xx )
| ( cG @ Xx ) ) )
| ( cP
@ ^ [Xx: $o] :
( ~ ( cF @ Xx )
| ( cG @ Xx ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(6,plain,
( ( ~ ( ( cP
@ ^ [Xx: $o] :
( ( cF @ Xx )
| ( cG @ Xx ) ) )
| ( cP
@ ^ [Xx: $o] :
( ~ ( cF @ Xx )
| ( cG @ Xx ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ( cP
@ ^ [Xx: $o] :
( ( cF @ Xx )
| ( cG @ Xx ) ) )
& ~ ( cP
@ ^ [Xx: $o] :
( ~ ( cF @ Xx )
| ( cG @ Xx ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( cP @ cG )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(9,plain,
( ( cP @ cF )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(10,plain,
( ( ~ ( cP
@ ^ [Xx: $o] :
( ( cF @ Xx )
| ( cG @ Xx ) ) )
& ~ ( cP
@ ^ [Xx: $o] :
( ~ ( cF @ Xx )
| ( cG @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( ~ ~ ( cP
@ ^ [SX0: $o] :
( ( cF @ SX0 )
| ( cG @ SX0 ) ) )
| ~ ~ ( cP
@ ^ [SX0: $o] :
( ~ ( cF @ SX0 )
| ( cG @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ~ ~ ( cP
@ ^ [SX0: $o] :
( ( cF @ SX0 )
| ( cG @ SX0 ) ) )
| ~ ~ ( cP
@ ^ [SX0: $o] :
( ~ ( cF @ SX0 )
| ( cG @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ~ ( cP
@ ^ [SX0: $o] :
( ( cF @ SX0 )
| ( cG @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ~ ( cP
@ ^ [SX0: $o] :
( ~ ( cF @ SX0 )
| ( cG @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( cP
@ ^ [SX0: $o] :
( ( cF @ SX0 )
| ( cG @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( cP
@ ^ [SX0: $o] :
( ~ ( cF @ SX0 )
| ( cG @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( cP
@ ^ [SX0: $o] :
( ( cF @ SX0 )
| ( cG @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( cP
@ ^ [SX0: $o] :
( ~ ( cF @ SX0 )
| ( cG @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ( cP
@ ^ [SX0: $o] :
( ( cF @ SX0 )
| ( cG @ SX0 ) ) )
= ( cP @ cF ) )
= $false ),
inference(res,[status(thm)],[17,9]) ).
thf(20,plain,
( ( ( cP
@ ^ [SX0: $o] :
( ( cF @ SX0 )
| ( cG @ SX0 ) ) )
= ( cP @ cG ) )
= $false ),
inference(res,[status(thm)],[17,8]) ).
thf(21,plain,
( ( ( ( cF @ sK1_E )
| ( cG @ sK1_E ) )
= $true )
| ( ( cG @ sK1_E )
= $true ) ),
inference(extuni,[status(esa)],[20]) ).
thf(22,plain,
( ( ( ( cF @ sK1_E )
| ( cG @ sK1_E ) )
= $false )
| ( ( cG @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[20]) ).
thf(23,plain,
( ( ( ( cF @ sK2_E )
| ( cG @ sK2_E ) )
= $true )
| ( ( cF @ sK2_E )
= $true ) ),
inference(extuni,[status(esa)],[19]) ).
thf(24,plain,
( ( ( ( cF @ sK2_E )
| ( cG @ sK2_E ) )
= $false )
| ( ( cF @ sK2_E )
= $false ) ),
inference(extuni,[status(esa)],[19]) ).
thf(26,plain,
( ( ( cG @ sK1_E )
= $false )
| ( ( cG @ sK1_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ( cF @ sK1_E )
= $true )
| ( ( cG @ sK1_E )
= $true )
| ( ( cG @ sK1_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(28,plain,
( ( ( cF @ sK2_E )
= $false )
| ( ( cF @ sK2_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( ( cG @ sK2_E )
= $false )
| ( ( cF @ sK2_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(30,plain,
( ( ( cF @ sK2_E )
= $true )
| ( ( cG @ sK2_E )
= $true )
| ( ( cF @ sK2_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(31,plain,
( ( cG @ sK1_E )
= $false ),
inference(sim,[status(thm)],[26]) ).
thf(32,plain,
( ( ( cF @ sK1_E )
= $true )
| ( ( cG @ sK1_E )
= $true ) ),
inference(sim,[status(thm)],[27]) ).
thf(33,plain,
( ( cF @ sK2_E )
= $false ),
inference(sim,[status(thm)],[28]) ).
thf(34,plain,
( ( ( cF @ sK2_E )
= $true )
| ( ( cG @ sK2_E )
= $true ) ),
inference(sim,[status(thm)],[30]) ).
thf(35,plain,
( ( ( cP
@ ^ [SX0: $o] :
( ~ ( cF @ SX0 )
| ( cG @ SX0 ) ) )
= ( cP @ cF ) )
= $false ),
inference(res,[status(thm)],[18,9]) ).
thf(36,plain,
( ( ( cP
@ ^ [SX0: $o] :
( ~ ( cF @ SX0 )
| ( cG @ SX0 ) ) )
= ( cP @ cG ) )
= $false ),
inference(res,[status(thm)],[18,8]) ).
thf(37,plain,
( ( ( ~ ( cF @ sK5_E )
| ( cG @ sK5_E ) )
= $true )
| ( ( cG @ sK5_E )
= $true ) ),
inference(extuni,[status(esa)],[36]) ).
thf(38,plain,
( ( ( ~ ( cF @ sK5_E )
| ( cG @ sK5_E ) )
= $false )
| ( ( cG @ sK5_E )
= $false ) ),
inference(extuni,[status(esa)],[36]) ).
thf(40,plain,
( ( ( ~ ( cF @ sK6_E )
| ( cG @ sK6_E ) )
= $false )
| ( ( cF @ sK6_E )
= $false ) ),
inference(extuni,[status(esa)],[35]) ).
thf(41,plain,
( ( ( ~ ( cF @ sK5_E ) )
= $false )
| ( ( cG @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(42,plain,
( ( ( cG @ sK5_E )
= $false )
| ( ( cG @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(43,plain,
( ( ( ~ ( cF @ sK5_E ) )
= $true )
| ( ( cG @ sK5_E )
= $true )
| ( ( cG @ sK5_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(45,plain,
( ( ( cG @ sK6_E )
= $false )
| ( ( cF @ sK6_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(47,plain,
( ( ( cF @ sK5_E )
= $true )
| ( ( cG @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(48,plain,
( ( ( cF @ sK5_E )
= $false )
| ( ( cG @ sK5_E )
= $true )
| ( ( cG @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(51,plain,
( ( cG @ sK5_E )
= $false ),
inference(sim,[status(thm)],[42]) ).
thf(52,plain,
( ( ( cF @ sK5_E )
= $false )
| ( ( cG @ sK5_E )
= $true ) ),
inference(sim,[status(thm)],[48]) ).
thf(65,plain,
( ( ( ( cG @ sK1_E )
= ( cG @ sK1_E ) )
= $false )
| ( ( cF @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[32,31]) ).
thf(68,plain,
( ( ( ( cF @ sK1_E )
= ( cF @ sK2_E ) )
= $false )
| ( ( cG @ sK1_E )
= $true )
| ( ( cG @ sK2_E )
= $false ) ),
inference(res,[status(thm)],[32,29]) ).
thf(78,plain,
( ( ( cG @ sK2_E )
= $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK1_E = $true )
| ( sK2_E = $true ) ),
inference(extuni,[status(esa)],[68]) ).
thf(79,plain,
( ( ( cG @ sK2_E )
= $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK1_E = $false )
| ( sK2_E = $false ) ),
inference(extuni,[status(esa)],[68]) ).
thf(80,plain,
( ( cF @ sK1_E )
= $true ),
inference(extuni,[status(esa)],[65]) ).
thf(82,plain,
( ( ( ( cF @ sK2_E )
= ( cF @ sK1_E ) )
= $false )
| ( ( cG @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[33,32]) ).
thf(85,plain,
( ( ( cG @ sK1_E )
= $true )
| ( sK2_E = $true )
| ( sK1_E = $true ) ),
inference(extuni,[status(esa)],[82]) ).
thf(86,plain,
( ( ( cG @ sK1_E )
= $true )
| ( sK2_E = $false )
| ( sK1_E = $false ) ),
inference(extuni,[status(esa)],[82]) ).
thf(88,plain,
( ( ( ( cF @ sK2_E )
= ( cF @ sK2_E ) )
= $false )
| ( ( cG @ sK2_E )
= $true ) ),
inference(res,[status(thm)],[34,33]) ).
thf(89,plain,
( ( ( ( cG @ sK2_E )
= ( cG @ sK1_E ) )
= $false )
| ( ( cF @ sK2_E )
= $true ) ),
inference(res,[status(thm)],[34,31]) ).
thf(96,plain,
( ( ( cF @ sK2_E )
= $true )
| ( sK2_E = $true )
| ( sK1_E = $true ) ),
inference(extuni,[status(esa)],[89]) ).
thf(97,plain,
( ( ( cF @ sK2_E )
= $true )
| ( sK2_E = $false )
| ( sK1_E = $false ) ),
inference(extuni,[status(esa)],[89]) ).
thf(98,plain,
( ( cG @ sK2_E )
= $true ),
inference(extuni,[status(esa)],[88]) ).
thf(100,plain,
( ( ( ( cG @ sK6_E )
= ( cG @ sK2_E ) )
= $false )
| ( ( cF @ sK6_E )
= $false )
| ( ( cF @ sK2_E )
= $true ) ),
inference(res,[status(thm)],[45,34]) ).
thf(101,plain,
( ( ( ( cF @ sK6_E )
= ( cF @ sK2_E ) )
= $false )
| ( ( cG @ sK6_E )
= $false )
| ( ( cG @ sK2_E )
= $true ) ),
inference(res,[status(thm)],[45,34]) ).
thf(104,plain,
( ( ( ( cG @ sK6_E )
= ( cG @ sK1_E ) )
= $false )
| ( ( cF @ sK6_E )
= $false )
| ( ( cF @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[45,32]) ).
thf(105,plain,
( ( ( ( cF @ sK6_E )
= ( cF @ sK1_E ) )
= $false )
| ( ( cG @ sK6_E )
= $false )
| ( ( cG @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[45,32]) ).
thf(112,plain,
( ( ( cG @ sK1_E )
= $true )
| ( ( cG @ sK6_E )
= $false )
| ( sK6_E = $true )
| ( sK1_E = $true ) ),
inference(extuni,[status(esa)],[105]) ).
thf(113,plain,
( ( ( cG @ sK1_E )
= $true )
| ( ( cG @ sK6_E )
= $false )
| ( sK6_E = $false )
| ( sK1_E = $false ) ),
inference(extuni,[status(esa)],[105]) ).
thf(114,plain,
( ( ( cF @ sK1_E )
= $true )
| ( ( cF @ sK6_E )
= $false )
| ( sK6_E = $true )
| ( sK1_E = $true ) ),
inference(extuni,[status(esa)],[104]) ).
thf(115,plain,
( ( ( cF @ sK1_E )
= $true )
| ( ( cF @ sK6_E )
= $false )
| ( sK6_E = $false )
| ( sK1_E = $false ) ),
inference(extuni,[status(esa)],[104]) ).
thf(116,plain,
( ( ( cG @ sK2_E )
= $true )
| ( ( cG @ sK6_E )
= $false )
| ( sK6_E = $true )
| ( sK2_E = $true ) ),
inference(extuni,[status(esa)],[101]) ).
thf(117,plain,
( ( ( cG @ sK2_E )
= $true )
| ( ( cG @ sK6_E )
= $false )
| ( sK6_E = $false )
| ( sK2_E = $false ) ),
inference(extuni,[status(esa)],[101]) ).
thf(118,plain,
( ( ( cF @ sK2_E )
= $true )
| ( ( cF @ sK6_E )
= $false )
| ( sK6_E = $true )
| ( sK2_E = $true ) ),
inference(extuni,[status(esa)],[100]) ).
thf(119,plain,
( ( ( cF @ sK2_E )
= $true )
| ( ( cF @ sK6_E )
= $false )
| ( sK6_E = $false )
| ( sK2_E = $false ) ),
inference(extuni,[status(esa)],[100]) ).
thf(122,plain,
( ( ( ( cF @ sK5_E )
= ( cF @ sK6_E ) )
= $false )
| ( ( cG @ sK5_E )
= $false )
| ( ( cG @ sK6_E )
= $false ) ),
inference(res,[status(thm)],[47,45]) ).
thf(124,plain,
( ( ( ( cG @ sK5_E )
= ( cG @ sK2_E ) )
= $false )
| ( ( cF @ sK5_E )
= $true )
| ( ( cF @ sK2_E )
= $true ) ),
inference(res,[status(thm)],[47,34]) ).
thf(126,plain,
( ( ( ( cF @ sK5_E )
= ( cF @ sK2_E ) )
= $false )
| ( ( cG @ sK5_E )
= $false ) ),
inference(res,[status(thm)],[47,33]) ).
thf(127,plain,
( ( ( ( cG @ sK5_E )
= ( cG @ sK1_E ) )
= $false )
| ( ( cF @ sK5_E )
= $true )
| ( ( cF @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[47,32]) ).
thf(134,plain,
( ( ( cF @ sK1_E )
= $true )
| ( ( cF @ sK5_E )
= $true )
| ( sK5_E = $true )
| ( sK1_E = $true ) ),
inference(extuni,[status(esa)],[127]) ).
thf(135,plain,
( ( ( cF @ sK1_E )
= $true )
| ( ( cF @ sK5_E )
= $true )
| ( sK5_E = $false )
| ( sK1_E = $false ) ),
inference(extuni,[status(esa)],[127]) ).
thf(136,plain,
( ( ( cG @ sK5_E )
= $false )
| ( sK5_E = $true )
| ( sK2_E = $true ) ),
inference(extuni,[status(esa)],[126]) ).
thf(137,plain,
( ( ( cG @ sK5_E )
= $false )
| ( sK5_E = $false )
| ( sK2_E = $false ) ),
inference(extuni,[status(esa)],[126]) ).
thf(138,plain,
( ( ( cF @ sK2_E )
= $true )
| ( ( cF @ sK5_E )
= $true )
| ( sK5_E = $true )
| ( sK2_E = $true ) ),
inference(extuni,[status(esa)],[124]) ).
thf(139,plain,
( ( ( cF @ sK2_E )
= $true )
| ( ( cF @ sK5_E )
= $true )
| ( sK5_E = $false )
| ( sK2_E = $false ) ),
inference(extuni,[status(esa)],[124]) ).
thf(140,plain,
( ( ( cG @ sK6_E )
= $false )
| ( ( cG @ sK5_E )
= $false )
| ( sK5_E = $true )
| ( sK6_E = $true ) ),
inference(extuni,[status(esa)],[122]) ).
thf(141,plain,
( ( ( cG @ sK6_E )
= $false )
| ( ( cG @ sK5_E )
= $false )
| ( sK5_E = $false )
| ( sK6_E = $false ) ),
inference(extuni,[status(esa)],[122]) ).
thf(142,plain,
( ( ( ( cG @ sK5_E )
= ( cG @ sK2_E ) )
= $false )
| ( ( cF @ sK2_E )
= $true ) ),
inference(res,[status(thm)],[51,34]) ).
thf(144,plain,
( ( ( ( cG @ sK5_E )
= ( cG @ sK1_E ) )
= $false )
| ( ( cF @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[51,32]) ).
thf(148,plain,
( ( ( cF @ sK1_E )
= $true )
| ( sK5_E = $true )
| ( sK1_E = $true ) ),
inference(extuni,[status(esa)],[144]) ).
thf(149,plain,
( ( ( cF @ sK1_E )
= $true )
| ( sK5_E = $false )
| ( sK1_E = $false ) ),
inference(extuni,[status(esa)],[144]) ).
thf(150,plain,
( ( ( cF @ sK2_E )
= $true )
| ( sK5_E = $true )
| ( sK2_E = $true ) ),
inference(extuni,[status(esa)],[142]) ).
thf(151,plain,
( ( ( cF @ sK2_E )
= $true )
| ( sK5_E = $false )
| ( sK2_E = $false ) ),
inference(extuni,[status(esa)],[142]) ).
thf(154,plain,
( ( ( ( cG @ sK5_E )
= ( cG @ sK5_E ) )
= $false )
| ( ( cF @ sK5_E )
= $false ) ),
inference(res,[status(thm)],[52,51]) ).
thf(156,plain,
( ( ( ( cG @ sK5_E )
= ( cG @ sK6_E ) )
= $false )
| ( ( cF @ sK5_E )
= $false )
| ( ( cF @ sK6_E )
= $false ) ),
inference(res,[status(thm)],[52,45]) ).
thf(158,plain,
( ( ( ( cF @ sK5_E )
= ( cF @ sK2_E ) )
= $false )
| ( ( cG @ sK5_E )
= $true )
| ( ( cG @ sK2_E )
= $true ) ),
inference(res,[status(thm)],[52,34]) ).
thf(161,plain,
( ( ( ( cF @ sK5_E )
= ( cF @ sK1_E ) )
= $false )
| ( ( cG @ sK5_E )
= $true )
| ( ( cG @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[52,32]) ).
thf(162,plain,
( ( ( ( cG @ sK5_E )
= ( cG @ sK1_E ) )
= $false )
| ( ( cF @ sK5_E )
= $false ) ),
inference(res,[status(thm)],[52,31]) ).
thf(167,plain,
( ( ( cF @ sK5_E )
= $false )
| ( sK5_E = $true )
| ( sK1_E = $true ) ),
inference(extuni,[status(esa)],[162]) ).
thf(168,plain,
( ( ( cF @ sK5_E )
= $false )
| ( sK5_E = $false )
| ( sK1_E = $false ) ),
inference(extuni,[status(esa)],[162]) ).
thf(169,plain,
( ( ( cG @ sK1_E )
= $true )
| ( ( cG @ sK5_E )
= $true )
| ( sK5_E = $true )
| ( sK1_E = $true ) ),
inference(extuni,[status(esa)],[161]) ).
thf(170,plain,
( ( ( cG @ sK1_E )
= $true )
| ( ( cG @ sK5_E )
= $true )
| ( sK5_E = $false )
| ( sK1_E = $false ) ),
inference(extuni,[status(esa)],[161]) ).
thf(171,plain,
( ( ( cG @ sK2_E )
= $true )
| ( ( cG @ sK5_E )
= $true )
| ( sK5_E = $true )
| ( sK2_E = $true ) ),
inference(extuni,[status(esa)],[158]) ).
thf(172,plain,
( ( ( cG @ sK2_E )
= $true )
| ( ( cG @ sK5_E )
= $true )
| ( sK5_E = $false )
| ( sK2_E = $false ) ),
inference(extuni,[status(esa)],[158]) ).
thf(173,plain,
( ( ( cF @ sK6_E )
= $false )
| ( ( cF @ sK5_E )
= $false )
| ( sK5_E = $true )
| ( sK6_E = $true ) ),
inference(extuni,[status(esa)],[156]) ).
thf(174,plain,
( ( ( cF @ sK6_E )
= $false )
| ( ( cF @ sK5_E )
= $false )
| ( sK5_E = $false )
| ( sK6_E = $false ) ),
inference(extuni,[status(esa)],[156]) ).
thf(175,plain,
( ( cF @ sK5_E )
= $false ),
inference(extuni,[status(esa)],[154]) ).
thf(178,plain,
( ( ( ( cG @ sK2_E )
= ( cG @ sK1_E ) )
= $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK1_E = $true )
| ( sK2_E = $true )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $true )
| ( sK2_E = $true ) ),
inference(res,[status(thm)],[78,78]) ).
thf(181,plain,
( ( ( ( cG @ sK1_E )
= ( cG @ sK2_E ) )
= $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $true )
| ( sK2_E = $true )
| ( ( cG @ sK1_E )
= $true )
| ( sK1_E = $true )
| ( sK2_E = $true ) ),
inference(res,[status(thm)],[78,78]) ).
thf(182,plain,
( ( ( ( cG @ sK2_E )
= ( cG @ sK5_E ) )
= $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK1_E = $true )
| ( sK2_E = $true )
| ( ( cF @ sK5_E )
= $false ) ),
inference(res,[status(thm)],[78,52]) ).
thf(188,plain,
( ( ( ( cG @ sK1_E )
= ( cG @ sK5_E ) )
= $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $true )
| ( sK2_E = $true ) ),
inference(res,[status(thm)],[78,51]) ).
thf(194,plain,
( ( ( ( cG @ sK1_E )
= ( cG @ sK6_E ) )
= $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $true )
| ( sK2_E = $true )
| ( ( cF @ sK6_E )
= $false ) ),
inference(res,[status(thm)],[78,45]) ).
thf(195,plain,
( ( ( ( cG @ sK2_E )
= ( cG @ sK2_E ) )
= $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK1_E = $true )
| ( sK2_E = $true )
| ( ( cF @ sK2_E )
= $true ) ),
inference(res,[status(thm)],[78,34]) ).
thf(200,plain,
( ( ( ( cG @ sK2_E )
= ( cG @ sK1_E ) )
= $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK1_E = $true )
| ( sK2_E = $true )
| ( ( cF @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[78,32]) ).
thf(204,plain,
( ( ( ( cG @ sK1_E )
= ( cG @ sK1_E ) )
= $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $true )
| ( sK2_E = $true ) ),
inference(res,[status(thm)],[78,31]) ).
thf(213,plain,
( ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK2_E )
= $false ) ),
inference(extuni,[status(esa)],[204]) ).
thf(214,plain,
( ( ( cF @ sK1_E )
= $true )
| ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK1_E )
= $true )
| ( sK2_E = $true )
| ( sK1_E = $true ) ),
inference(extuni,[status(esa)],[200]) ).
thf(216,plain,
( ( ( cF @ sK2_E )
= $true )
| ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK1_E )
= $true ) ),
inference(extuni,[status(esa)],[195]) ).
thf(217,plain,
( ( ( cF @ sK6_E )
= $false )
| ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $true )
| ( sK6_E = $true ) ),
inference(extuni,[status(esa)],[194]) ).
thf(219,plain,
( ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $true )
| ( sK5_E = $true ) ),
inference(extuni,[status(esa)],[188]) ).
thf(221,plain,
( ( ( cF @ sK5_E )
= $false )
| ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK1_E )
= $true )
| ( sK2_E = $true )
| ( sK5_E = $true ) ),
inference(extuni,[status(esa)],[182]) ).
thf(223,plain,
( ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK1_E )
= $true )
| ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $true )
| ( sK2_E = $true ) ),
inference(extuni,[status(esa)],[181]) ).
thf(225,plain,
( ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK2_E )
= $false )
| ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK1_E )
= $true )
| ( sK2_E = $true )
| ( sK1_E = $true ) ),
inference(extuni,[status(esa)],[178]) ).
thf(227,plain,
( ( ( cF @ sK1_E )
= $true )
| ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK1_E )
= $true ) ),
inference(sim,[status(thm)],[214]) ).
thf(228,plain,
( ( ( cF @ sK6_E )
= $false )
| ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK2_E )
= $false )
| ( sK6_E = $true ) ),
inference(sim,[status(thm)],[217]) ).
thf(229,plain,
( ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK2_E )
= $false )
| ( sK5_E = $true ) ),
inference(sim,[status(thm)],[219]) ).
thf(230,plain,
( ( ( cF @ sK5_E )
= $false )
| ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK1_E )
= $true )
| ( sK5_E = $true ) ),
inference(sim,[status(thm)],[221]) ).
thf(231,plain,
( ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK1_E )
= $true )
| ( ( cG @ sK2_E )
= $false ) ),
inference(sim,[status(thm)],[223]) ).
thf(232,plain,
( ( sK2_E = $true )
| ( sK1_E = $true )
| ( ( cG @ sK2_E )
= $false )
| ( ( cG @ sK1_E )
= $true ) ),
inference(sim,[status(thm)],[225]) ).
thf(237,plain,
( ( ( ( cG @ sK2_E )
= ( cG @ sK1_E ) )
= $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK1_E = $false )
| ( sK2_E = $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $false )
| ( sK2_E = $false ) ),
inference(res,[status(thm)],[79,79]) ).
thf(238,plain,
( ( ( ( cG @ sK1_E )
= ( cG @ sK2_E ) )
= $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $false )
| ( sK2_E = $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK1_E = $false )
| ( sK2_E = $false ) ),
inference(res,[status(thm)],[79,79]) ).
thf(251,plain,
( ( ( ( cG @ sK2_E )
= ( cG @ sK5_E ) )
= $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK1_E = $false )
| ( sK2_E = $false )
| ( ( cF @ sK5_E )
= $false ) ),
inference(res,[status(thm)],[79,52]) ).
thf(253,plain,
( ( ( ( cG @ sK1_E )
= ( cG @ sK5_E ) )
= $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $false )
| ( sK2_E = $false ) ),
inference(res,[status(thm)],[79,51]) ).
thf(255,plain,
( ( ( ( cG @ sK1_E )
= ( cG @ sK6_E ) )
= $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $false )
| ( sK2_E = $false )
| ( ( cF @ sK6_E )
= $false ) ),
inference(res,[status(thm)],[79,45]) ).
thf(258,plain,
( ( ( ( cG @ sK2_E )
= ( cG @ sK2_E ) )
= $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK1_E = $false )
| ( sK2_E = $false )
| ( ( cF @ sK2_E )
= $true ) ),
inference(res,[status(thm)],[79,34]) ).
thf(265,plain,
( ( ( ( cG @ sK2_E )
= ( cG @ sK1_E ) )
= $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK1_E = $false )
| ( sK2_E = $false )
| ( ( cF @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[79,32]) ).
thf(269,plain,
( ( ( ( cG @ sK1_E )
= ( cG @ sK1_E ) )
= $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $false )
| ( sK2_E = $false ) ),
inference(res,[status(thm)],[79,31]) ).
thf(278,plain,
( ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK2_E )
= $false ) ),
inference(extuni,[status(esa)],[269]) ).
thf(280,plain,
( ( ( cF @ sK1_E )
= $true )
| ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK2_E = $false )
| ( sK1_E = $false ) ),
inference(extuni,[status(esa)],[265]) ).
thf(281,plain,
( ( ( cF @ sK2_E )
= $true )
| ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK1_E )
= $true ) ),
inference(extuni,[status(esa)],[258]) ).
thf(283,plain,
( ( ( cF @ sK6_E )
= $false )
| ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $false )
| ( sK6_E = $false ) ),
inference(extuni,[status(esa)],[255]) ).
thf(285,plain,
( ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $false )
| ( sK5_E = $false ) ),
inference(extuni,[status(esa)],[253]) ).
thf(287,plain,
( ( ( cF @ sK5_E )
= $false )
| ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK2_E = $false )
| ( sK5_E = $false ) ),
inference(extuni,[status(esa)],[251]) ).
thf(295,plain,
( ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK1_E = $false )
| ( sK2_E = $false ) ),
inference(extuni,[status(esa)],[238]) ).
thf(297,plain,
( ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK2_E = $false )
| ( sK1_E = $false ) ),
inference(extuni,[status(esa)],[237]) ).
thf(298,plain,
( ( ( cF @ sK1_E )
= $true )
| ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK1_E )
= $true ) ),
inference(sim,[status(thm)],[280]) ).
thf(299,plain,
( ( ( cF @ sK6_E )
= $false )
| ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK6_E = $false ) ),
inference(sim,[status(thm)],[283]) ).
thf(300,plain,
( ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK2_E )
= $false )
| ( sK5_E = $false ) ),
inference(sim,[status(thm)],[285]) ).
thf(301,plain,
( ( ( cF @ sK5_E )
= $false )
| ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK1_E )
= $true )
| ( sK5_E = $false ) ),
inference(sim,[status(thm)],[287]) ).
thf(302,plain,
( ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK1_E )
= $true )
| ( ( cG @ sK2_E )
= $false ) ),
inference(sim,[status(thm)],[295]) ).
thf(303,plain,
( ( sK2_E = $false )
| ( sK1_E = $false )
| ( ( cG @ sK2_E )
= $false )
| ( ( cG @ sK1_E )
= $true ) ),
inference(sim,[status(thm)],[297]) ).
thf(308,plain,
( ( ( ( cF @ sK1_E )
= ( cF @ sK5_E ) )
= $false )
| ( ( cG @ sK5_E )
= $true ) ),
inference(res,[status(thm)],[80,52]) ).
thf(310,plain,
( ( ( ( cF @ sK1_E )
= ( cF @ sK6_E ) )
= $false )
| ( ( cG @ sK6_E )
= $false ) ),
inference(res,[status(thm)],[80,45]) ).
thf(312,plain,
( ( ( cF @ sK1_E )
= ( cF @ sK2_E ) )
= $false ),
inference(res,[status(thm)],[80,33]) ).
thf(316,plain,
( ( sK1_E = $true )
| ( sK2_E = $true ) ),
inference(extuni,[status(esa)],[312]) ).
thf(317,plain,
( ( sK1_E = $false )
| ( sK2_E = $false ) ),
inference(extuni,[status(esa)],[312]) ).
thf(318,plain,
( ( ( cG @ sK6_E )
= $false )
| ( sK1_E = $true )
| ( sK6_E = $true ) ),
inference(extuni,[status(esa)],[310]) ).
thf(319,plain,
( ( ( cG @ sK6_E )
= $false )
| ( sK1_E = $false )
| ( sK6_E = $false ) ),
inference(extuni,[status(esa)],[310]) ).
thf(320,plain,
( ( ( cG @ sK5_E )
= $true )
| ( sK1_E = $true )
| ( sK5_E = $true ) ),
inference(extuni,[status(esa)],[308]) ).
thf(321,plain,
( ( ( cG @ sK5_E )
= $true )
| ( sK1_E = $false )
| ( sK5_E = $false ) ),
inference(extuni,[status(esa)],[308]) ).
thf(322,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[8,321,320,319,318,317,316,303,302,301,300,299,298,281,278,232,231,230,229,228,227,216,213,175,174,173,172,171,170,169,168,167,151,150,149,148,141,140,139,138,137,136,135,134,119,118,117,116,115,114,113,112,98,97,96,86,85,80,79,78,52,51,45,34,33,31,18,17,9]) ).
thf(323,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO376^5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n018.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 01:51:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: true
% 0.12/0.34 (rf:0,axioms:0,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.20/0.47
% 0.20/0.47 ********************************
% 0.20/0.47 * All subproblems solved! *
% 0.20/0.47 ********************************
% 0.20/0.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,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:322,loop_count:20,foatp_calls:3,translation:fof_full)
% 0.20/0.53
% 0.20/0.53 %**** Beginning of derivation protocol ****
% 0.20/0.53 % SZS output start CNFRefutation
% See solution above
% 0.20/0.54
% 0.20/0.54 %**** End of derivation protocol ****
% 0.20/0.54 %**** no. of clauses in derivation: 158 ****
% 0.20/0.54 %**** clause counter: 322 ****
% 0.20/0.54
% 0.20/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,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:322,loop_count:20,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------