%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO499^1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:08:36 AM UTC 2026
% Result : Theorem 0.10s 0.27s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 1
% Syntax : Number of formulae : 175 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 2182 ( 833 equ; 0 cnn)
% Maximal formula atoms : 6 ( 12 avg)
% Number of connectives : 1056 ( 33 ~; 341 |; 0 &; 682 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 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 > $i ).
thf(tp_f1,type,
f1: $o > $i ).
thf(tp_f2,type,
f2: $o > $i ).
thf(tp_g,type,
g: $o > $i ).
thf(tp_g1,type,
g1: $o > $i ).
thf(tp_g2,type,
g2: $o > $i ).
thf(1,conjecture,
( ( ( f @ a )
= ( g @ b ) )
| ( ( f @ b )
!= ( g @ a ) )
| ( ( f1 @ a )
= ( g1 @ c ) )
| ( ( f1 @ c )
!= ( g1 @ a ) )
| ( ( f2 @ b )
= ( g2 @ c ) )
| ( ( f2 @ c )
!= ( g2 @ b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
( ( ( ( f @ a )
= ( g @ b ) )
| ( ( f @ b )
!= ( g @ a ) )
| ( ( f1 @ a )
= ( g1 @ c ) )
| ( ( f1 @ c )
!= ( g1 @ a ) )
| ( ( f2 @ b )
= ( g2 @ c ) )
| ( ( f2 @ c )
!= ( g2 @ b ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ( f @ a )
= ( g @ b ) )
| ( ( f @ b )
!= ( g @ a ) )
| ( ( f1 @ a )
= ( g1 @ c ) )
| ( ( f1 @ c )
!= ( g1 @ a ) )
| ( ( f2 @ b )
= ( g2 @ c ) )
| ( ( f2 @ c )
!= ( g2 @ b ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ( ( ( f @ a )
= ( g @ b ) )
| ( ( f @ b )
!= ( g @ a ) )
| ( ( f1 @ a )
= ( g1 @ c ) )
| ( ( f1 @ c )
!= ( g1 @ a ) )
| ( ( f2 @ b )
= ( g2 @ c ) )
| ( ( f2 @ c )
!= ( g2 @ b ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ~ ( ( ( f @ a )
= ( g @ b ) )
| ( ( f @ b )
!= ( g @ a ) )
| ( ( f1 @ a )
= ( g1 @ c ) )
| ( ( f1 @ c )
!= ( g1 @ a ) )
| ( ( f2 @ b )
= ( g2 @ c ) )
| ( ( f2 @ c )
!= ( g2 @ b ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(6,plain,
( ( ~ ( ( ( f @ a )
= ( g @ b ) )
| ( ( f @ b )
!= ( g @ a ) )
| ( ( f1 @ a )
= ( g1 @ c ) )
| ( ( f1 @ c )
!= ( g1 @ a ) )
| ( ( f2 @ b )
= ( g2 @ c ) )
| ( ( f2 @ c )
!= ( g2 @ b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ( ( f @ a )
= ( g @ b ) )
| ( ( f @ b )
!= ( g @ a ) )
| ( ( f1 @ a )
= ( g1 @ c ) )
| ( ( f1 @ c )
!= ( g1 @ a ) )
| ( ( f2 @ b )
= ( g2 @ c ) )
| ( ( f2 @ c )
!= ( g2 @ b ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6]) ).
thf(8,plain,
( ( ( ( f @ a )
= ( g @ b ) )
| ( ( f @ b )
!= ( g @ a ) )
| ( ( f1 @ a )
= ( g1 @ c ) )
| ( ( f1 @ c )
!= ( g1 @ a ) )
| ( ( f2 @ b )
= ( g2 @ c ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7]) ).
thf(9,plain,
( ( ( f2 @ c )
!= ( g2 @ b ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7]) ).
thf(10,plain,
( ( ( ( f @ a )
= ( g @ b ) )
| ( ( f @ b )
!= ( g @ a ) )
| ( ( f1 @ a )
= ( g1 @ c ) )
| ( ( f1 @ c )
!= ( g1 @ a ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ( f2 @ b )
= ( g2 @ c ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(12,plain,
( ( ( f2 @ c )
= ( g2 @ b ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[9]) ).
thf(13,plain,
( ( ( ( f @ a )
= ( g @ b ) )
| ( ( f @ b )
!= ( g @ a ) )
| ( ( f1 @ a )
= ( g1 @ c ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[10]) ).
thf(14,plain,
( ( ( f1 @ c )
!= ( g1 @ a ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[10]) ).
thf(15,plain,
( ( ( ( f @ a )
= ( g @ b ) )
| ( ( f @ b )
!= ( g @ a ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ( f1 @ a )
= ( g1 @ c ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
( ( ( f1 @ c )
= ( g1 @ a ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(18,plain,
( ( ( f @ a )
= ( g @ b ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ( f @ b )
!= ( g @ a ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(20,plain,
( ( ( f @ b )
= ( g @ a ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(21,plain,
( ( ( ( f2 @ c )
= ( g2 @ b ) )
= ( ( f2 @ b )
= ( g2 @ c ) ) )
= $false ),
inference(res,[status(thm)],[12,11]) ).
thf(22,plain,
( ( ( ( f2 @ c )
= ( g2 @ c ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[21]) ).
thf(23,plain,
( ( b = $true )
| ( c = $true )
| ( c = $true )
| ( b = $true ) ),
inference(extuni,[status(esa)],[21]) ).
thf(25,plain,
( ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false )
| ( c = $true )
| ( b = $true ) ),
inference(extuni,[status(esa)],[21]) ).
thf(27,plain,
( ( b = $false )
| ( c = $false )
| ( c = $false )
| ( b = $false ) ),
inference(extuni,[status(esa)],[21]) ).
thf(28,plain,
( ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false )
| ( c = $false )
| ( b = $false ) ),
inference(extuni,[status(esa)],[21]) ).
thf(29,plain,
( ( b = $true )
| ( c = $true )
| ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[21]) ).
thf(30,plain,
( ( b = $false )
| ( c = $false )
| ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[21]) ).
thf(31,plain,
( ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false )
| ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[21]) ).
thf(32,plain,
( ( b = $false )
| ( c = $false ) ),
inference(sim,[status(thm)],[27]) ).
thf(33,plain,
( ( b = $true )
| ( c = $true ) ),
inference(sim,[status(thm)],[23]) ).
thf(34,plain,
( ( ( ( f1 @ a )
= ( g1 @ c ) )
= ( ( f2 @ c )
= ( g2 @ b ) ) )
= $false ),
inference(res,[status(thm)],[16,12]) ).
thf(35,plain,
( ( ( ( f1 @ a )
= ( g2 @ b ) )
= $false )
| ( ( ( g1 @ c )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[34]) ).
thf(36,plain,
( ( ( ( g1 @ c )
= ( g2 @ b ) )
= $false )
| ( ( ( f1 @ a )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[34]) ).
thf(37,plain,
( ( ( ( f1 @ c )
= ( g1 @ a ) )
= ( ( f1 @ a )
= ( g1 @ c ) ) )
= $false ),
inference(res,[status(thm)],[17,16]) ).
thf(38,plain,
( ( ( ( f1 @ c )
= ( g1 @ a ) )
= ( ( f2 @ b )
= ( g2 @ c ) ) )
= $false ),
inference(res,[status(thm)],[17,11]) ).
thf(39,plain,
( ( ( ( f1 @ c )
= ( g2 @ c ) )
= $false )
| ( ( ( g1 @ a )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[38]) ).
thf(40,plain,
( ( ( ( g1 @ a )
= ( g2 @ c ) )
= $false )
| ( ( ( f1 @ c )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[38]) ).
thf(41,plain,
( ( ( ( f1 @ c )
= ( g1 @ c ) )
= $false )
| ( ( ( g1 @ a )
= ( f1 @ a ) )
= $false ) ),
inference(extuni,[status(esa)],[37]) ).
thf(42,plain,
( ( a = $true )
| ( c = $true )
| ( c = $true )
| ( a = $true ) ),
inference(extuni,[status(esa)],[37]) ).
thf(44,plain,
( ( ( ( g1 @ a )
= ( g1 @ c ) )
= $false )
| ( c = $true )
| ( a = $true ) ),
inference(extuni,[status(esa)],[37]) ).
thf(46,plain,
( ( a = $false )
| ( c = $false )
| ( c = $false )
| ( a = $false ) ),
inference(extuni,[status(esa)],[37]) ).
thf(47,plain,
( ( ( ( g1 @ a )
= ( g1 @ c ) )
= $false )
| ( c = $false )
| ( a = $false ) ),
inference(extuni,[status(esa)],[37]) ).
thf(48,plain,
( ( a = $true )
| ( c = $true )
| ( ( ( f1 @ c )
= ( f1 @ a ) )
= $false ) ),
inference(extuni,[status(esa)],[37]) ).
thf(49,plain,
( ( a = $false )
| ( c = $false )
| ( ( ( f1 @ c )
= ( f1 @ a ) )
= $false ) ),
inference(extuni,[status(esa)],[37]) ).
thf(50,plain,
( ( ( ( g1 @ a )
= ( g1 @ c ) )
= $false )
| ( ( ( f1 @ c )
= ( f1 @ a ) )
= $false ) ),
inference(extuni,[status(esa)],[37]) ).
thf(51,plain,
( ( a = $false )
| ( c = $false ) ),
inference(sim,[status(thm)],[46]) ).
thf(52,plain,
( ( a = $true )
| ( c = $true ) ),
inference(sim,[status(thm)],[42]) ).
thf(53,plain,
( ( ( ( f @ a )
= ( g @ b ) )
= ( ( f1 @ c )
= ( g1 @ a ) ) )
= $false ),
inference(res,[status(thm)],[18,17]) ).
thf(54,plain,
( ( ( ( f @ a )
= ( g @ b ) )
= ( ( f2 @ c )
= ( g2 @ b ) ) )
= $false ),
inference(res,[status(thm)],[18,12]) ).
thf(55,plain,
( ( ( ( f @ a )
= ( g2 @ b ) )
= $false )
| ( ( ( g @ b )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[54]) ).
thf(56,plain,
( ( ( ( g @ b )
= ( g2 @ b ) )
= $false )
| ( ( ( f @ a )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[54]) ).
thf(57,plain,
( ( ( ( f @ a )
= ( g1 @ a ) )
= $false )
| ( ( ( g @ b )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[53]) ).
thf(58,plain,
( ( ( ( g @ b )
= ( g1 @ a ) )
= $false )
| ( ( ( f @ a )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[53]) ).
thf(59,plain,
( ( ( ( f @ b )
= ( g @ a ) )
= ( ( f @ a )
= ( g @ b ) ) )
= $false ),
inference(res,[status(thm)],[20,18]) ).
thf(60,plain,
( ( ( ( f @ b )
= ( g @ a ) )
= ( ( f1 @ a )
= ( g1 @ c ) ) )
= $false ),
inference(res,[status(thm)],[20,16]) ).
thf(61,plain,
( ( ( ( f @ b )
= ( g @ a ) )
= ( ( f2 @ b )
= ( g2 @ c ) ) )
= $false ),
inference(res,[status(thm)],[20,11]) ).
thf(62,plain,
( ( ( ( f @ b )
= ( g2 @ c ) )
= $false )
| ( ( ( g @ a )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[61]) ).
thf(63,plain,
( ( ( ( g @ a )
= ( g2 @ c ) )
= $false )
| ( ( ( f @ b )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[61]) ).
thf(64,plain,
( ( ( ( f @ b )
= ( g1 @ c ) )
= $false )
| ( ( ( g @ a )
= ( f1 @ a ) )
= $false ) ),
inference(extuni,[status(esa)],[60]) ).
thf(65,plain,
( ( ( ( g @ a )
= ( g1 @ c ) )
= $false )
| ( ( ( f @ b )
= ( f1 @ a ) )
= $false ) ),
inference(extuni,[status(esa)],[60]) ).
thf(66,plain,
( ( ( ( f @ b )
= ( g @ b ) )
= $false )
| ( ( ( g @ a )
= ( f @ a ) )
= $false ) ),
inference(extuni,[status(esa)],[59]) ).
thf(67,plain,
( ( a = $true )
| ( b = $true )
| ( b = $true )
| ( a = $true ) ),
inference(extuni,[status(esa)],[59]) ).
thf(69,plain,
( ( ( ( g @ a )
= ( g @ b ) )
= $false )
| ( b = $true )
| ( a = $true ) ),
inference(extuni,[status(esa)],[59]) ).
thf(71,plain,
( ( a = $false )
| ( b = $false )
| ( b = $false )
| ( a = $false ) ),
inference(extuni,[status(esa)],[59]) ).
thf(72,plain,
( ( ( ( g @ a )
= ( g @ b ) )
= $false )
| ( b = $false )
| ( a = $false ) ),
inference(extuni,[status(esa)],[59]) ).
thf(73,plain,
( ( a = $true )
| ( b = $true )
| ( ( ( f @ b )
= ( f @ a ) )
= $false ) ),
inference(extuni,[status(esa)],[59]) ).
thf(74,plain,
( ( a = $false )
| ( b = $false )
| ( ( ( f @ b )
= ( f @ a ) )
= $false ) ),
inference(extuni,[status(esa)],[59]) ).
thf(75,plain,
( ( ( ( g @ a )
= ( g @ b ) )
= $false )
| ( ( ( f @ b )
= ( f @ a ) )
= $false ) ),
inference(extuni,[status(esa)],[59]) ).
thf(76,plain,
( ( a = $false )
| ( b = $false ) ),
inference(sim,[status(thm)],[71]) ).
thf(77,plain,
( ( a = $true )
| ( b = $true ) ),
inference(sim,[status(thm)],[67]) ).
thf(78,plain,
( ( ( ( ( g2 @ b )
= ( f2 @ b ) )
= ( ( f @ b )
= ( g @ a ) ) )
= $false )
| ( ( ( f2 @ c )
= ( g2 @ c ) )
= $false ) ),
inference(res,[status(thm)],[22,20]) ).
thf(79,plain,
( ( ( ( ( f2 @ c )
= ( g2 @ c ) )
= ( ( f @ b )
= ( g @ a ) ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(res,[status(thm)],[22,20]) ).
thf(80,plain,
( ( ( ( ( g2 @ b )
= ( f2 @ b ) )
= ( ( f1 @ c )
= ( g1 @ a ) ) )
= $false )
| ( ( ( f2 @ c )
= ( g2 @ c ) )
= $false ) ),
inference(res,[status(thm)],[22,17]) ).
thf(81,plain,
( ( ( ( ( f2 @ c )
= ( g2 @ c ) )
= ( ( f1 @ c )
= ( g1 @ a ) ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(res,[status(thm)],[22,17]) ).
thf(82,plain,
( ( ( ( ( g2 @ b )
= ( f2 @ b ) )
= ( ( f2 @ c )
= ( g2 @ b ) ) )
= $false )
| ( ( ( f2 @ c )
= ( g2 @ c ) )
= $false ) ),
inference(res,[status(thm)],[22,12]) ).
thf(83,plain,
( ( ( ( ( f2 @ c )
= ( g2 @ c ) )
= ( ( f2 @ c )
= ( g2 @ b ) ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(res,[status(thm)],[22,12]) ).
thf(84,plain,
( ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false )
| ( ( ( ( f2 @ c )
= ( g2 @ c ) )
= ( ( g2 @ b )
= ( f2 @ b ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[22]) ).
thf(85,plain,
( ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false )
| ( ( ( f2 @ c )
= ( g2 @ b ) )
= $false )
| ( ( ( g2 @ c )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[83]) ).
thf(86,plain,
( ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false )
| ( c = $true )
| ( b = $true ) ),
inference(extuni,[status(esa)],[83]) ).
thf(87,plain,
( ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false )
| ( c = $false )
| ( b = $false ) ),
inference(extuni,[status(esa)],[83]) ).
thf(88,plain,
( ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ c )
= ( g2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[83]) ).
thf(89,plain,
( ( ( ( f2 @ c )
= ( g2 @ c ) )
= $false )
| ( b = $true )
| ( c = $true ) ),
inference(extuni,[status(esa)],[82]) ).
thf(90,plain,
( ( ( ( f2 @ c )
= ( g2 @ c ) )
= $false )
| ( b = $false )
| ( c = $false ) ),
inference(extuni,[status(esa)],[82]) ).
thf(91,plain,
( ( ( ( f2 @ c )
= ( g2 @ c ) )
= $false )
| ( ( ( f2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[82]) ).
thf(92,plain,
( ( ( ( f2 @ c )
= ( g2 @ c ) )
= $false )
| ( ( ( f2 @ b )
= ( g2 @ b ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[82]) ).
thf(93,plain,
( ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false )
| ( ( ( f2 @ c )
= ( g1 @ a ) )
= $false )
| ( ( ( g2 @ c )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[81]) ).
thf(94,plain,
( ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ c )
= ( g1 @ a ) )
= $false )
| ( ( ( f2 @ c )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[81]) ).
thf(95,plain,
( ( ( ( f2 @ c )
= ( g2 @ c ) )
= $false )
| ( ( ( g2 @ b )
= ( g1 @ a ) )
= $false )
| ( ( ( f2 @ b )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[80]) ).
thf(96,plain,
( ( ( ( f2 @ c )
= ( g2 @ c ) )
= $false )
| ( ( ( f2 @ b )
= ( g1 @ a ) )
= $false )
| ( ( ( g2 @ b )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[80]) ).
thf(97,plain,
( ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false )
| ( ( ( f2 @ c )
= ( g @ a ) )
= $false )
| ( ( ( g2 @ c )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[79]) ).
thf(98,plain,
( ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ c )
= ( g @ a ) )
= $false )
| ( ( ( f2 @ c )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[79]) ).
thf(99,plain,
( ( ( ( f2 @ c )
= ( g2 @ c ) )
= $false )
| ( ( ( g2 @ b )
= ( g @ a ) )
= $false )
| ( ( ( f2 @ b )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[78]) ).
thf(100,plain,
( ( ( ( f2 @ c )
= ( g2 @ c ) )
= $false )
| ( ( ( f2 @ b )
= ( g @ a ) )
= $false )
| ( ( ( g2 @ b )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[78]) ).
thf(101,plain,
( ( c = $true )
| ( b = $true )
| ( c = $true )
| ( b = $true )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[84]) ).
thf(103,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( c = $true )
| ( b = $true )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[84]) ).
thf(105,plain,
( ( c = $false )
| ( b = $false )
| ( c = $false )
| ( b = $false )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[84]) ).
thf(106,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( c = $false )
| ( b = $false )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[84]) ).
thf(107,plain,
( ( c = $true )
| ( b = $true )
| ( ( ( g2 @ c )
= ( g2 @ b ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[84]) ).
thf(108,plain,
( ( c = $false )
| ( b = $false )
| ( ( ( g2 @ c )
= ( g2 @ b ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[84]) ).
thf(109,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ c )
= ( g2 @ b ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[84]) ).
thf(110,plain,
( ( ( ( g2 @ c )
= ( f2 @ b ) )
= $false )
| ( ( ( f2 @ c )
= ( g2 @ b ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[84]) ).
thf(111,plain,
( ( c = $false )
| ( b = $false )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(sim,[status(thm)],[105]) ).
thf(112,plain,
( ( c = $true )
| ( b = $true )
| ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false ) ),
inference(sim,[status(thm)],[101]) ).
thf(113,plain,
( ( ( ( ( f2 @ c )
= ( f2 @ b ) )
= ( ( f @ b )
= ( g @ a ) ) )
= $false )
| ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false ) ),
inference(res,[status(thm)],[31,20]) ).
thf(114,plain,
( ( ( ( ( g2 @ b )
= ( g2 @ c ) )
= ( ( f @ b )
= ( g @ a ) ) )
= $false )
| ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false ) ),
inference(res,[status(thm)],[31,20]) ).
thf(115,plain,
( ( ( ( ( f2 @ c )
= ( f2 @ b ) )
= ( ( f1 @ c )
= ( g1 @ a ) ) )
= $false )
| ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false ) ),
inference(res,[status(thm)],[31,17]) ).
thf(116,plain,
( ( ( ( ( g2 @ b )
= ( g2 @ c ) )
= ( ( f1 @ c )
= ( g1 @ a ) ) )
= $false )
| ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false ) ),
inference(res,[status(thm)],[31,17]) ).
thf(117,plain,
( ( ( ( ( f2 @ c )
= ( f2 @ b ) )
= ( ( f2 @ c )
= ( g2 @ b ) ) )
= $false )
| ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false ) ),
inference(res,[status(thm)],[31,12]) ).
thf(118,plain,
( ( ( ( ( g2 @ b )
= ( g2 @ c ) )
= ( ( f2 @ c )
= ( g2 @ b ) ) )
= $false )
| ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false ) ),
inference(res,[status(thm)],[31,12]) ).
thf(119,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( ( ( ( g2 @ b )
= ( g2 @ c ) )
= ( ( f2 @ c )
= ( f2 @ b ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[31]) ).
thf(120,plain,
( ( c = $true )
| ( b = $true )
| ( ( ( g2 @ c )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[118]) ).
thf(121,plain,
( ( c = $false )
| ( b = $false )
| ( ( ( g2 @ c )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[118]) ).
thf(122,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ c )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[118]) ).
thf(123,plain,
( ( c = $true )
| ( b = $true )
| ( c = $true )
| ( b = $true )
| ( ( ( g2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[118]) ).
thf(125,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( c = $true )
| ( b = $true )
| ( ( ( g2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[118]) ).
thf(127,plain,
( ( c = $false )
| ( b = $false )
| ( c = $false )
| ( b = $false )
| ( ( ( g2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[118]) ).
thf(128,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( c = $false )
| ( b = $false )
| ( ( ( g2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[118]) ).
thf(129,plain,
( ( c = $true )
| ( b = $true )
| ( ( ( g2 @ c )
= ( g2 @ b ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[118]) ).
thf(130,plain,
( ( c = $false )
| ( b = $false )
| ( ( ( g2 @ c )
= ( g2 @ b ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[118]) ).
thf(131,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ c )
= ( g2 @ b ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[118]) ).
thf(132,plain,
( ( b = $true )
| ( c = $true )
| ( ( ( f2 @ c )
= ( g2 @ b ) )
= $false )
| ( b = $true )
| ( c = $true ) ),
inference(extuni,[status(esa)],[117]) ).
thf(134,plain,
( ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false )
| ( ( ( f2 @ c )
= ( g2 @ b ) )
= $false )
| ( b = $true )
| ( c = $true ) ),
inference(extuni,[status(esa)],[117]) ).
thf(136,plain,
( ( b = $false )
| ( c = $false )
| ( ( ( f2 @ c )
= ( g2 @ b ) )
= $false )
| ( b = $false )
| ( c = $false ) ),
inference(extuni,[status(esa)],[117]) ).
thf(137,plain,
( ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false )
| ( ( ( f2 @ c )
= ( g2 @ b ) )
= $false )
| ( b = $false )
| ( c = $false ) ),
inference(extuni,[status(esa)],[117]) ).
thf(138,plain,
( ( b = $true )
| ( c = $true )
| ( ( ( f2 @ c )
= ( g2 @ b ) )
= $false )
| ( ( ( f2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[117]) ).
thf(139,plain,
( ( b = $false )
| ( c = $false )
| ( ( ( f2 @ c )
= ( g2 @ b ) )
= $false )
| ( ( ( f2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[117]) ).
thf(140,plain,
( ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false )
| ( ( ( f2 @ c )
= ( g2 @ b ) )
= $false )
| ( ( ( f2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[117]) ).
thf(141,plain,
( ( b = $true )
| ( c = $true )
| ( ( ( f2 @ b )
= ( g2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[117]) ).
thf(142,plain,
( ( b = $false )
| ( c = $false )
| ( ( ( f2 @ b )
= ( g2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[117]) ).
thf(143,plain,
( ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false )
| ( ( ( f2 @ b )
= ( g2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[117]) ).
thf(144,plain,
( ( c = $true )
| ( b = $true )
| ( ( ( g2 @ b )
= ( g1 @ a ) )
= $false )
| ( ( ( g2 @ c )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[116]) ).
thf(145,plain,
( ( c = $false )
| ( b = $false )
| ( ( ( g2 @ b )
= ( g1 @ a ) )
= $false )
| ( ( ( g2 @ c )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[116]) ).
thf(146,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ b )
= ( g1 @ a ) )
= $false )
| ( ( ( g2 @ c )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[116]) ).
thf(147,plain,
( ( c = $true )
| ( b = $true )
| ( ( ( g2 @ c )
= ( g1 @ a ) )
= $false )
| ( ( ( g2 @ b )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[116]) ).
thf(148,plain,
( ( c = $false )
| ( b = $false )
| ( ( ( g2 @ c )
= ( g1 @ a ) )
= $false )
| ( ( ( g2 @ b )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[116]) ).
thf(149,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ c )
= ( g1 @ a ) )
= $false )
| ( ( ( g2 @ b )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[116]) ).
thf(150,plain,
( ( b = $true )
| ( c = $true )
| ( ( ( f2 @ c )
= ( g1 @ a ) )
= $false )
| ( ( ( f2 @ b )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[115]) ).
thf(151,plain,
( ( b = $false )
| ( c = $false )
| ( ( ( f2 @ c )
= ( g1 @ a ) )
= $false )
| ( ( ( f2 @ b )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[115]) ).
thf(152,plain,
( ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false )
| ( ( ( f2 @ c )
= ( g1 @ a ) )
= $false )
| ( ( ( f2 @ b )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[115]) ).
thf(153,plain,
( ( b = $true )
| ( c = $true )
| ( ( ( f2 @ b )
= ( g1 @ a ) )
= $false )
| ( ( ( f2 @ c )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[115]) ).
thf(154,plain,
( ( b = $false )
| ( c = $false )
| ( ( ( f2 @ b )
= ( g1 @ a ) )
= $false )
| ( ( ( f2 @ c )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[115]) ).
thf(155,plain,
( ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false )
| ( ( ( f2 @ b )
= ( g1 @ a ) )
= $false )
| ( ( ( f2 @ c )
= ( f1 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[115]) ).
thf(156,plain,
( ( c = $true )
| ( b = $true )
| ( ( ( g2 @ b )
= ( g @ a ) )
= $false )
| ( ( ( g2 @ c )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[114]) ).
thf(157,plain,
( ( c = $false )
| ( b = $false )
| ( ( ( g2 @ b )
= ( g @ a ) )
= $false )
| ( ( ( g2 @ c )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[114]) ).
thf(158,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ b )
= ( g @ a ) )
= $false )
| ( ( ( g2 @ c )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[114]) ).
thf(159,plain,
( ( c = $true )
| ( b = $true )
| ( ( ( g2 @ c )
= ( g @ a ) )
= $false )
| ( ( ( g2 @ b )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[114]) ).
thf(160,plain,
( ( c = $false )
| ( b = $false )
| ( ( ( g2 @ c )
= ( g @ a ) )
= $false )
| ( ( ( g2 @ b )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[114]) ).
thf(161,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ c )
= ( g @ a ) )
= $false )
| ( ( ( g2 @ b )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[114]) ).
thf(162,plain,
( ( b = $true )
| ( c = $true )
| ( ( ( f2 @ c )
= ( g @ a ) )
= $false )
| ( ( ( f2 @ b )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[113]) ).
thf(163,plain,
( ( b = $false )
| ( c = $false )
| ( ( ( f2 @ c )
= ( g @ a ) )
= $false )
| ( ( ( f2 @ b )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[113]) ).
thf(164,plain,
( ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false )
| ( ( ( f2 @ c )
= ( g @ a ) )
= $false )
| ( ( ( f2 @ b )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[113]) ).
thf(165,plain,
( ( b = $true )
| ( c = $true )
| ( ( ( f2 @ b )
= ( g @ a ) )
= $false )
| ( ( ( f2 @ c )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[113]) ).
thf(166,plain,
( ( b = $false )
| ( c = $false )
| ( ( ( f2 @ b )
= ( g @ a ) )
= $false )
| ( ( ( f2 @ c )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[113]) ).
thf(167,plain,
( ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false )
| ( ( ( f2 @ b )
= ( g @ a ) )
= $false )
| ( ( ( f2 @ c )
= ( f @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[113]) ).
thf(168,plain,
( ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ c )
= ( f2 @ c ) )
= $false )
| ( c = $true )
| ( b = $true ) ),
inference(extuni,[status(esa)],[119]) ).
thf(169,plain,
( ( ( ( g2 @ c )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ c ) )
= $false )
| ( c = $true )
| ( b = $true ) ),
inference(extuni,[status(esa)],[119]) ).
thf(170,plain,
( ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ c )
= ( f2 @ c ) )
= $false )
| ( c = $false )
| ( b = $false ) ),
inference(extuni,[status(esa)],[119]) ).
thf(171,plain,
( ( ( ( g2 @ c )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ c ) )
= $false )
| ( c = $false )
| ( b = $false ) ),
inference(extuni,[status(esa)],[119]) ).
thf(172,plain,
( ( ( ( g2 @ b )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ c )
= ( f2 @ c ) )
= $false )
| ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[119]) ).
thf(173,plain,
( ( ( ( g2 @ c )
= ( f2 @ b ) )
= $false )
| ( ( ( g2 @ b )
= ( f2 @ c ) )
= $false )
| ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false ) ),
inference(extuni,[status(esa)],[119]) ).
thf(174,plain,
( ( c = $true )
| ( b = $true )
| ( b = $true )
| ( c = $true ) ),
inference(extuni,[status(esa)],[31]) ).
thf(176,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( b = $true )
| ( c = $true ) ),
inference(extuni,[status(esa)],[31]) ).
thf(178,plain,
( ( c = $false )
| ( b = $false )
| ( b = $false )
| ( c = $false ) ),
inference(extuni,[status(esa)],[31]) ).
thf(179,plain,
( ( ( ( f2 @ c )
= ( f2 @ b ) )
= $false )
| ( b = $false )
| ( c = $false ) ),
inference(extuni,[status(esa)],[31]) ).
thf(180,plain,
( ( c = $true )
| ( b = $true )
| ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[31]) ).
thf(181,plain,
( ( c = $false )
| ( b = $false )
| ( ( ( g2 @ b )
= ( g2 @ c ) )
= $false ) ),
inference(extuni,[status(esa)],[31]) ).
thf(182,plain,
( ( c = $false )
| ( b = $false )
| ( ( ( g2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(sim,[status(thm)],[127]) ).
thf(183,plain,
( ( c = $true )
| ( b = $true )
| ( ( ( g2 @ b )
= ( f2 @ c ) )
= $false ) ),
inference(sim,[status(thm)],[123]) ).
thf(184,plain,
( ( b = $false )
| ( c = $false )
| ( ( ( f2 @ c )
= ( g2 @ b ) )
= $false ) ),
inference(sim,[status(thm)],[136]) ).
thf(185,plain,
( ( b = $true )
| ( c = $true )
| ( ( ( f2 @ c )
= ( g2 @ b ) )
= $false ) ),
inference(sim,[status(thm)],[132]) ).
thf(186,plain,
( ( c = $false )
| ( b = $false ) ),
inference(sim,[status(thm)],[178]) ).
thf(187,plain,
( ( c = $true )
| ( b = $true ) ),
inference(sim,[status(thm)],[174]) ).
thf(195,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,187,186,185,184,183,182,181,180,179,176,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,134,131,130,129,128,125,122,121,120,112,111,110,109,108,107,106,103,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,77,76,75,74,73,72,69,66,65,64,63,62,58,57,56,55,52,51,50,49,48,47,44,41,40,39,36,35,33,32,31,30,29,28,25,22,20,18,17,16,12]) ).
thf(196,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO499^1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.15 % Computer : n011.cluster.edu
% 0.10/0.15 % Model : x86_64 x86_64
% 0.10/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.15 % Memory : 8046.5625MB
% 0.10/0.15 % OS : Linux 6.8.0-71-generic
% 0.10/0.15 % CPULimit : 300
% 0.10/0.15 % WCLimit : 300
% 0.10/0.15 % DateTime : Tue Oct 6 17:42:06 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
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% 0.10/0.27 No.of.Axioms: 0
% 0.10/0.27
% 0.10/0.27 Length.of.Defs: 0
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% 0.10/0.27 Contains.Choice.Funs: false
% 0.10/0.27 ..
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% 0.10/0.27 ********************************
% 0.10/0.27 * All subproblems solved! *
% 0.10/0.27 ********************************
% 0.10/0.27 % SZS status Theorem for /export/starexec/sandbox2/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:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:195,loop_count:10,foatp_calls:3,translation:fof_full)
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% 0.10/0.27 %**** Beginning of derivation protocol ****
% 0.10/0.27 % SZS output start CNFRefutation
% See solution above
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% 0.10/0.27 %**** End of derivation protocol ****
% 0.10/0.27 %**** no. of clauses in derivation: 175 ****
% 0.10/0.27 %**** clause counter: 195 ****
% 0.10/0.27
% 0.10/0.27 % SZS status Theorem for /export/starexec/sandbox2/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:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:195,loop_count:10,foatp_calls:3,translation:fof_full)
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