TSTP Solution File: SYO503^1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO503^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n009.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 17:35:13 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 8
% Syntax : Number of formulae : 142 ( 46 unt; 7 typ; 0 def)
% Number of atoms : 1405 ( 388 equ; 0 cnn)
% Maximal formula atoms : 13 ( 10 avg)
% Number of connectives : 727 ( 233 ~; 278 |; 12 &; 204 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $o ).
thf(tp_b,type,
b: $o ).
thf(tp_c,type,
c: $o ).
thf(tp_f,type,
f: $o > $o ).
thf(tp_g,type,
g: $o > $o ).
thf(tp_p,type,
p: ( $o > $o ) > $o ).
thf(tp_sK1_E,type,
sK1_E: $o ).
thf(1,conjecture,
( ( a = b )
| ~ ( f @ a )
| ~ ( f @ b )
| ~ ( g @ a )
| ~ ( g @ b )
| ~ ( p @ f )
| ( p @ g ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',claim) ).
thf(2,negated_conjecture,
( ( ( a = b )
| ~ ( f @ a )
| ~ ( f @ b )
| ~ ( g @ a )
| ~ ( g @ b )
| ~ ( p @ f )
| ( p @ g ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ( ( a = b )
| ~ ( f @ a )
| ~ ( f @ b )
| ~ ( g @ a )
| ~ ( g @ b )
| ~ ( p @ f )
| ( p @ g ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ( p @ g )
& ( a != b )
& ( f @ a )
& ( f @ b )
& ( g @ a )
& ( g @ b )
& ( p @ f ) )
= $true ),
inference(extcnf_combined,[status(esa)],[3]) ).
thf(5,plain,
( ( ~ ( p @ g )
& ( a != b )
& ( f @ a )
& ( f @ b )
& ( g @ a )
& ( g @ b )
& ( p @ f ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(6,plain,
( ( ~ ( ~ ~ ( p @ g )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) )
| ~ ( g @ a ) )
| ~ ( g @ b ) )
| ~ ( p @ f ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ~ ( p @ g )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) )
| ~ ( g @ a ) )
| ~ ( g @ b ) )
| ~ ( p @ f ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ~ ( p @ g ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7]) ).
thf(9,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) )
| ~ ( g @ a ) )
| ~ ( g @ b ) )
| ~ ( p @ f ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ( p @ g ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) )
| ~ ( g @ a ) )
| ~ ( g @ b ) )
| ~ ( p @ f ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[9]) ).
thf(12,plain,
( ( p @ g )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) )
| ~ ( g @ a ) )
| ~ ( g @ b ) )
| ~ ( p @ f ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) )
| ~ ( g @ a ) )
| ~ ( g @ b ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(15,plain,
( ( ~ ( p @ f ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) )
| ~ ( g @ a ) )
| ~ ( g @ b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( p @ f )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) )
| ~ ( g @ a ) )
| ~ ( g @ b ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) )
| ~ ( g @ a ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(20,plain,
( ( ~ ( g @ b ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) )
| ~ ( g @ a ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(22,plain,
( ( g @ b )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) )
| ~ ( g @ a ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(25,plain,
( ( ~ ( g @ a ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(26,plain,
( ( ~ ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(27,plain,
( ( g @ a )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(28,plain,
( ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
| ~ ( f @ b ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(29,plain,
( ( ~ ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(30,plain,
( ( ~ ( f @ b ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(31,plain,
( ( ~ ( ~ ( ( a != b ) )
| ~ ( f @ a ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(32,plain,
( ( f @ b )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(33,plain,
( ( ~ ( ( a != b ) )
| ~ ( f @ a ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(34,plain,
( ( ~ ( ( a != b ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(35,plain,
( ( ~ ( f @ a ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(36,plain,
( ( ( a != b ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(37,plain,
( ( f @ a )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(38,plain,
( ( a = b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
( ( ~ ( a
| b )
| ~ ( ~ a
| ~ b ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[38]) ).
thf(40,plain,
( ( a = b )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[38]) ).
thf(41,plain,
( ( ~ ( a
| b ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(42,plain,
( ( ~ ( ~ a
| ~ b ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(43,plain,
( ( a
| b )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(44,plain,
( ( ~ a
| ~ b )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(45,plain,
( ( a = $true )
| ( b = $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(46,plain,
( ( ( ~ a )
= $true )
| ( ( ~ b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(47,plain,
( ( a = $false )
| ( ( ~ b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(48,plain,
( ( b = $false )
| ( a = $false ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(73,plain,
( ( ( p @ f )
= ( p @ g ) )
= $false ),
inference(res,[status(thm)],[17,12]) ).
thf(74,plain,
( ( ( f @ sK1_E )
= $true )
| ( ( g @ sK1_E )
= $true ) ),
inference(extuni,[status(esa)],[73]) ).
thf(75,plain,
( ( ( f @ sK1_E )
= $false )
| ( ( g @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[73]) ).
thf(125,plain,
( ( ( ( f @ sK1_E )
= ( f @ a ) )
= $false )
| ( ( g @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[75,37]) ).
thf(127,plain,
( ( ( ( f @ sK1_E )
= ( f @ b ) )
= $false )
| ( ( g @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[75,32]) ).
thf(128,plain,
( ( ( ( g @ sK1_E )
= ( g @ a ) )
= $false )
| ( ( f @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[75,27]) ).
thf(130,plain,
( ( ( ( g @ sK1_E )
= ( g @ b ) )
= $false )
| ( ( f @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[75,22]) ).
thf(135,plain,
( ( ( f @ sK1_E )
= $false )
| ( sK1_E = $true )
| ( b = $true ) ),
inference(extuni,[status(esa)],[130]) ).
thf(136,plain,
( ( ( f @ sK1_E )
= $false )
| ( sK1_E = $false )
| ( b = $false ) ),
inference(extuni,[status(esa)],[130]) ).
thf(137,plain,
( ( ( f @ sK1_E )
= $false )
| ( sK1_E = $true )
| ( a = $true ) ),
inference(extuni,[status(esa)],[128]) ).
thf(138,plain,
( ( ( f @ sK1_E )
= $false )
| ( sK1_E = $false )
| ( a = $false ) ),
inference(extuni,[status(esa)],[128]) ).
thf(139,plain,
( ( ( g @ sK1_E )
= $false )
| ( sK1_E = $true )
| ( b = $true ) ),
inference(extuni,[status(esa)],[127]) ).
thf(140,plain,
( ( ( g @ sK1_E )
= $false )
| ( sK1_E = $false )
| ( b = $false ) ),
inference(extuni,[status(esa)],[127]) ).
thf(141,plain,
( ( ( g @ sK1_E )
= $false )
| ( sK1_E = $true )
| ( a = $true ) ),
inference(extuni,[status(esa)],[125]) ).
thf(142,plain,
( ( ( g @ sK1_E )
= $false )
| ( sK1_E = $false )
| ( a = $false ) ),
inference(extuni,[status(esa)],[125]) ).
thf(154,plain,
( ( ( ( f @ sK1_E )
= ( f @ sK1_E ) )
= $false )
| ( sK1_E = $true )
| ( b = $true )
| ( ( g @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[135,74]) ).
thf(157,plain,
( ( ( b = b )
= $false )
| ( ( f @ sK1_E )
= $false )
| ( sK1_E = $true )
| ( a = $false ) ),
inference(res,[status(thm)],[135,48]) ).
thf(163,plain,
( ( ( ( f @ sK1_E )
= ( f @ a ) )
= $false )
| ( sK1_E = $true )
| ( b = $true ) ),
inference(res,[status(thm)],[135,37]) ).
thf(164,plain,
( ( ( ( f @ sK1_E )
= ( f @ b ) )
= $false )
| ( sK1_E = $true )
| ( b = $true ) ),
inference(res,[status(thm)],[135,32]) ).
thf(170,plain,
( ( b = $true )
| ( sK1_E = $true )
| ( sK1_E = $true )
| ( b = $true ) ),
inference(extuni,[status(esa)],[164]) ).
thf(172,plain,
( ( b = $true )
| ( sK1_E = $true )
| ( sK1_E = $true )
| ( a = $true ) ),
inference(extuni,[status(esa)],[163]) ).
thf(174,plain,
( ( a = $false )
| ( sK1_E = $true )
| ( ( f @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[157]) ).
thf(175,plain,
( ( ( g @ sK1_E )
= $true )
| ( b = $true )
| ( sK1_E = $true ) ),
inference(extuni,[status(esa)],[154]) ).
thf(176,plain,
( ( b = $true )
| ( sK1_E = $true ) ),
inference(sim,[status(thm)],[170]) ).
thf(177,plain,
( ( b = $true )
| ( sK1_E = $true )
| ( a = $true ) ),
inference(sim,[status(thm)],[172]) ).
thf(189,plain,
( ( ( ( f @ sK1_E )
= ( f @ sK1_E ) )
= $false )
| ( sK1_E = $false )
| ( b = $false )
| ( ( g @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[136,74]) ).
thf(190,plain,
( ( ( b = b )
= $false )
| ( ( f @ sK1_E )
= $false )
| ( sK1_E = $false )
| ( a = $true ) ),
inference(res,[status(thm)],[136,45]) ).
thf(198,plain,
( ( ( ( f @ sK1_E )
= ( f @ a ) )
= $false )
| ( sK1_E = $false )
| ( b = $false ) ),
inference(res,[status(thm)],[136,37]) ).
thf(201,plain,
( ( ( ( f @ sK1_E )
= ( f @ b ) )
= $false )
| ( sK1_E = $false )
| ( b = $false ) ),
inference(res,[status(thm)],[136,32]) ).
thf(212,plain,
( ( b = $false )
| ( sK1_E = $false )
| ( sK1_E = $false )
| ( b = $false ) ),
inference(extuni,[status(esa)],[201]) ).
thf(214,plain,
( ( b = $false )
| ( sK1_E = $false )
| ( sK1_E = $false )
| ( a = $false ) ),
inference(extuni,[status(esa)],[198]) ).
thf(215,plain,
( ( a = $true )
| ( sK1_E = $false )
| ( ( f @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[190]) ).
thf(216,plain,
( ( ( g @ sK1_E )
= $true )
| ( b = $false )
| ( sK1_E = $false ) ),
inference(extuni,[status(esa)],[189]) ).
thf(219,plain,
( ( b = $false )
| ( sK1_E = $false ) ),
inference(sim,[status(thm)],[212]) ).
thf(220,plain,
( ( b = $false )
| ( sK1_E = $false )
| ( a = $false ) ),
inference(sim,[status(thm)],[214]) ).
thf(228,plain,
( ( ( sK1_E = sK1_E )
= $false )
| ( ( f @ sK1_E )
= $false )
| ( a = $true )
| ( ( f @ sK1_E )
= $false )
| ( b = $false ) ),
inference(res,[status(thm)],[137,136]) ).
thf(240,plain,
( ( ( ( f @ sK1_E )
= ( f @ sK1_E ) )
= $false )
| ( sK1_E = $true )
| ( a = $true )
| ( ( g @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[137,74]) ).
thf(241,plain,
( ( ( a = a )
= $false )
| ( ( f @ sK1_E )
= $false )
| ( sK1_E = $true )
| ( b = $false ) ),
inference(res,[status(thm)],[137,48]) ).
thf(249,plain,
( ( ( ( f @ sK1_E )
= ( f @ a ) )
= $false )
| ( sK1_E = $true )
| ( a = $true ) ),
inference(res,[status(thm)],[137,37]) ).
thf(250,plain,
( ( ( ( f @ sK1_E )
= ( f @ b ) )
= $false )
| ( sK1_E = $true )
| ( a = $true ) ),
inference(res,[status(thm)],[137,32]) ).
thf(256,plain,
( ( a = $true )
| ( sK1_E = $true )
| ( sK1_E = $true )
| ( b = $true ) ),
inference(extuni,[status(esa)],[250]) ).
thf(258,plain,
( ( a = $true )
| ( sK1_E = $true )
| ( sK1_E = $true )
| ( a = $true ) ),
inference(extuni,[status(esa)],[249]) ).
thf(260,plain,
( ( b = $false )
| ( sK1_E = $true )
| ( ( f @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[241]) ).
thf(261,plain,
( ( ( g @ sK1_E )
= $true )
| ( a = $true )
| ( sK1_E = $true ) ),
inference(extuni,[status(esa)],[240]) ).
thf(262,plain,
( ( b = $false )
| ( ( f @ sK1_E )
= $false )
| ( a = $true )
| ( ( f @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[228]) ).
thf(263,plain,
( ( a = $true )
| ( sK1_E = $true )
| ( b = $true ) ),
inference(sim,[status(thm)],[256]) ).
thf(264,plain,
( ( a = $true )
| ( sK1_E = $true ) ),
inference(sim,[status(thm)],[258]) ).
thf(265,plain,
( ( b = $false )
| ( ( f @ sK1_E )
= $false )
| ( a = $true ) ),
inference(sim,[status(thm)],[262]) ).
thf(276,plain,
( ( ( sK1_E = sK1_E )
= $false )
| ( ( f @ sK1_E )
= $false )
| ( a = $false )
| ( ( f @ sK1_E )
= $false )
| ( b = $true ) ),
inference(res,[status(thm)],[138,135]) ).
thf(283,plain,
( ( ( ( f @ sK1_E )
= ( f @ sK1_E ) )
= $false )
| ( sK1_E = $false )
| ( a = $false )
| ( ( g @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[138,74]) ).
thf(287,plain,
( ( ( a = a )
= $false )
| ( ( f @ sK1_E )
= $false )
| ( sK1_E = $false )
| ( b = $true ) ),
inference(res,[status(thm)],[138,45]) ).
thf(292,plain,
( ( ( ( f @ sK1_E )
= ( f @ a ) )
= $false )
| ( sK1_E = $false )
| ( a = $false ) ),
inference(res,[status(thm)],[138,37]) ).
thf(295,plain,
( ( ( ( f @ sK1_E )
= ( f @ b ) )
= $false )
| ( sK1_E = $false )
| ( a = $false ) ),
inference(res,[status(thm)],[138,32]) ).
thf(306,plain,
( ( a = $false )
| ( sK1_E = $false )
| ( sK1_E = $false )
| ( b = $false ) ),
inference(extuni,[status(esa)],[295]) ).
thf(308,plain,
( ( a = $false )
| ( sK1_E = $false )
| ( sK1_E = $false )
| ( a = $false ) ),
inference(extuni,[status(esa)],[292]) ).
thf(309,plain,
( ( b = $true )
| ( sK1_E = $false )
| ( ( f @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[287]) ).
thf(310,plain,
( ( ( g @ sK1_E )
= $true )
| ( a = $false )
| ( sK1_E = $false ) ),
inference(extuni,[status(esa)],[283]) ).
thf(311,plain,
( ( b = $true )
| ( ( f @ sK1_E )
= $false )
| ( a = $false )
| ( ( f @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[276]) ).
thf(314,plain,
( ( a = $false )
| ( sK1_E = $false )
| ( b = $false ) ),
inference(sim,[status(thm)],[306]) ).
thf(315,plain,
( ( a = $false )
| ( sK1_E = $false ) ),
inference(sim,[status(thm)],[308]) ).
thf(316,plain,
( ( b = $true )
| ( ( f @ sK1_E )
= $false )
| ( a = $false ) ),
inference(sim,[status(thm)],[311]) ).
thf(324,plain,
( ( ( sK1_E = sK1_E )
= $false )
| ( ( g @ sK1_E )
= $false )
| ( b = $true )
| ( ( f @ sK1_E )
= $false )
| ( a = $false ) ),
inference(res,[status(thm)],[139,138]) ).
thf(345,plain,
( ( ( ( g @ sK1_E )
= ( g @ sK1_E ) )
= $false )
| ( sK1_E = $true )
| ( b = $true )
| ( ( f @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[139,74]) ).
thf(349,plain,
( ( ( b = b )
= $false )
| ( ( g @ sK1_E )
= $false )
| ( sK1_E = $true )
| ( a = $false ) ),
inference(res,[status(thm)],[139,48]) ).
thf(357,plain,
( ( ( ( g @ sK1_E )
= ( g @ a ) )
= $false )
| ( sK1_E = $true )
| ( b = $true ) ),
inference(res,[status(thm)],[139,27]) ).
thf(358,plain,
( ( ( ( g @ sK1_E )
= ( g @ b ) )
= $false )
| ( sK1_E = $true )
| ( b = $true ) ),
inference(res,[status(thm)],[139,22]) ).
thf(362,plain,
( ( b = $true )
| ( sK1_E = $true )
| ( sK1_E = $true )
| ( b = $true ) ),
inference(extuni,[status(esa)],[358]) ).
thf(364,plain,
( ( b = $true )
| ( sK1_E = $true )
| ( sK1_E = $true )
| ( a = $true ) ),
inference(extuni,[status(esa)],[357]) ).
thf(366,plain,
( ( a = $false )
| ( sK1_E = $true )
| ( ( g @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[349]) ).
thf(367,plain,
( ( ( f @ sK1_E )
= $true )
| ( b = $true )
| ( sK1_E = $true ) ),
inference(extuni,[status(esa)],[345]) ).
thf(370,plain,
( ( a = $false )
| ( ( f @ sK1_E )
= $false )
| ( b = $true )
| ( ( g @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[324]) ).
thf(371,plain,
( ( b = $true )
| ( sK1_E = $true ) ),
inference(sim,[status(thm)],[362]) ).
thf(372,plain,
( ( b = $true )
| ( sK1_E = $true )
| ( a = $true ) ),
inference(sim,[status(thm)],[364]) ).
thf(383,plain,
( ( ( sK1_E = sK1_E )
= $false )
| ( ( g @ sK1_E )
= $false )
| ( b = $false )
| ( ( f @ sK1_E )
= $false )
| ( a = $true ) ),
inference(res,[status(thm)],[140,137]) ).
thf(393,plain,
( ( ( ( g @ sK1_E )
= ( g @ sK1_E ) )
= $false )
| ( sK1_E = $false )
| ( b = $false )
| ( ( f @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[140,74]) ).
thf(397,plain,
( ( ( b = b )
= $false )
| ( ( g @ sK1_E )
= $false )
| ( sK1_E = $false )
| ( a = $true ) ),
inference(res,[status(thm)],[140,45]) ).
thf(411,plain,
( ( ( ( g @ sK1_E )
= ( g @ a ) )
= $false )
| ( sK1_E = $false )
| ( b = $false ) ),
inference(res,[status(thm)],[140,27]) ).
thf(414,plain,
( ( ( ( g @ sK1_E )
= ( g @ b ) )
= $false )
| ( sK1_E = $false )
| ( b = $false ) ),
inference(res,[status(thm)],[140,22]) ).
thf(419,plain,
( ( b = $false )
| ( sK1_E = $false )
| ( sK1_E = $false )
| ( b = $false ) ),
inference(extuni,[status(esa)],[414]) ).
thf(421,plain,
( ( b = $false )
| ( sK1_E = $false )
| ( sK1_E = $false )
| ( a = $false ) ),
inference(extuni,[status(esa)],[411]) ).
thf(422,plain,
( ( a = $true )
| ( sK1_E = $false )
| ( ( g @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[397]) ).
thf(423,plain,
( ( ( f @ sK1_E )
= $true )
| ( b = $false )
| ( sK1_E = $false ) ),
inference(extuni,[status(esa)],[393]) ).
thf(426,plain,
( ( a = $true )
| ( ( f @ sK1_E )
= $false )
| ( b = $false )
| ( ( g @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[383]) ).
thf(429,plain,
( ( b = $false )
| ( sK1_E = $false ) ),
inference(sim,[status(thm)],[419]) ).
thf(430,plain,
( ( b = $false )
| ( sK1_E = $false )
| ( a = $false ) ),
inference(sim,[status(thm)],[421]) ).
thf(431,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[12,430,429,426,423,422,372,371,370,367,366,316,315,314,310,309,265,264,263,261,260,220,219,216,215,177,176,175,174,142,141,140,139,138,137,136,135,75,74,48,45,40,37,32,27,22,17]) ).
thf(432,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[431]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYO503^1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n009.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 : Fri Jul 8 22:26:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: true
% 0.13/0.35 (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)........
% 0.20/0.48
% 0.20/0.48 ********************************
% 0.20/0.48 * All subproblems solved! *
% 0.20/0.48 ********************************
% 0.20/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:431,loop_count:20,foatp_calls:4,translation:fof_full)
% 0.20/0.54
% 0.20/0.54 %**** Beginning of derivation protocol ****
% 0.20/0.54 % 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: 135 ****
% 0.20/0.54 %**** clause counter: 431 ****
% 0.20/0.54
% 0.20/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:431,loop_count:20,foatp_calls:4,translation:fof_full)
%------------------------------------------------------------------------------