%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : KRS013-1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n002.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 10:26:08 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.25s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 34
% Syntax : Number of formulae : 248 ( 122 unt; 0 typ; 0 def)
% Number of atoms : 1393 ( 363 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 1849 ( 282 ~; 419 |; 0 &;1148 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 3 con; 0-2 aty)
% Number of variables : 365 ( 0 ^; 365 !; 0 ?; 365 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c,type,
c: $i > $o ).
thf(tp_d,type,
d: $i > $o ).
thf(tp_e,type,
e: $i > $o ).
thf(tp_equalish,type,
equalish: $i > $i > $o ).
thf(tp_exist,type,
exist: $i ).
thf(tp_f,type,
f: $i > $o ).
thf(tp_r,type,
r: $i > $i > $o ).
thf(tp_s,type,
s: $i > $i > $o ).
thf(tp_s1most,type,
s1most: $i > $o ).
thf(tp_s2least,type,
s2least: $i > $o ).
thf(tp_t,type,
t: $i > $i > $o ).
thf(tp_t1most,type,
t1most: $i > $o ).
thf(tp_t2least,type,
t2least: $i > $o ).
thf(tp_u1r1,type,
u1r1: $i > $i ).
thf(tp_u1r2,type,
u1r2: $i > $i ).
thf(tp_u3r1,type,
u3r1: $i > $i ).
thf(tp_u3r2,type,
u3r2: $i > $i ).
thf(tp_u4r1,type,
u4r1: $i > $i ).
thf(tp_u4r2,type,
u4r2: $i > $i ).
thf(tp_u5r1,type,
u5r1: $i > $i ).
thf(tp_u5r2,type,
u5r2: $i > $i ).
thf(tp_u6r1,type,
u6r1: $i > $i ).
thf(tp_u7r1,type,
u7r1: $i > $i ).
thf(tp_u7r2,type,
u7r2: $i > $i ).
thf(1,axiom,
! [X1: $i] :
( ( s1most @ X1 )
| ( s @ X1 @ ( u7r2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_33) ).
thf(2,axiom,
! [X1: $i] :
( ( s1most @ X1 )
| ( s @ X1 @ ( u7r1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).
thf(3,axiom,
! [X1: $i] :
( ( s1most @ X1 )
| ~ ( equalish @ ( u7r2 @ X1 ) @ ( u7r1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31) ).
thf(4,axiom,
! [X3: $i,X2: $i,X1: $i] :
( ( equalish @ X3 @ X2 )
| ~ ( s1most @ X1 )
| ~ ( s @ X1 @ X3 )
| ~ ( s @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
thf(5,axiom,
! [X1: $i] :
( ( f @ X1 )
| ( r @ X1 @ ( u6r1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).
thf(6,axiom,
! [X1: $i] :
( ( f @ X1 )
| ~ ( s1most @ ( u6r1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_28) ).
thf(7,axiom,
! [X2: $i,X1: $i] :
( ( s1most @ X2 )
| ~ ( f @ X1 )
| ~ ( r @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_27) ).
thf(8,axiom,
! [X1: $i,X3: $i,X2: $i] :
( ( s2least @ X1 )
| ( equalish @ X3 @ X2 )
| ~ ( s @ X1 @ X3 )
| ~ ( s @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26) ).
thf(9,axiom,
! [X1: $i] :
( ( s @ X1 @ ( u5r2 @ X1 ) )
| ~ ( s2least @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).
thf(10,axiom,
! [X1: $i] :
( ( s @ X1 @ ( u5r1 @ X1 ) )
| ~ ( s2least @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
thf(11,axiom,
! [X1: $i] :
( ~ ( s2least @ X1 )
| ~ ( equalish @ ( u5r2 @ X1 ) @ ( u5r1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
thf(12,axiom,
! [X1: $i] :
( ( e @ X1 )
| ( r @ X1 @ ( u4r1 @ X1 ) )
| ( r @ X1 @ ( u4r2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
thf(13,axiom,
! [X1: $i] :
( ( e @ X1 )
| ( r @ X1 @ ( u4r1 @ X1 ) )
| ~ ( d @ ( u4r2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
thf(14,axiom,
! [X1: $i] :
( ( e @ X1 )
| ( s2least @ ( u4r1 @ X1 ) )
| ( r @ X1 @ ( u4r2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
thf(15,axiom,
! [X1: $i] :
( ( e @ X1 )
| ( s2least @ ( u4r1 @ X1 ) )
| ~ ( d @ ( u4r2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
thf(16,axiom,
! [X1: $i] :
( ( e @ X1 )
| ( r @ X1 @ ( u4r2 @ X1 ) )
| ~ ( c @ ( u4r1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
thf(17,axiom,
! [X1: $i] :
( ( e @ X1 )
| ~ ( c @ ( u4r1 @ X1 ) )
| ~ ( d @ ( u4r2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
thf(18,axiom,
! [X2: $i,X1: $i] :
( ( c @ X2 )
| ~ ( e @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( s2least @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
thf(19,axiom,
! [X3: $i,X1: $i] :
( ( d @ X3 )
| ~ ( e @ X1 )
| ~ ( r @ X1 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
thf(20,axiom,
! [X1: $i] :
( ( t1most @ X1 )
| ( t @ X1 @ ( u3r2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
thf(21,axiom,
! [X1: $i] :
( ( t1most @ X1 )
| ( t @ X1 @ ( u3r1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
thf(22,axiom,
! [X1: $i] :
( ( t1most @ X1 )
| ~ ( equalish @ ( u3r2 @ X1 ) @ ( u3r1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
thf(23,axiom,
! [X3: $i,X2: $i,X1: $i] :
( ( equalish @ X3 @ X2 )
| ~ ( t1most @ X1 )
| ~ ( t @ X1 @ X3 )
| ~ ( t @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
thf(24,axiom,
! [X1: $i] :
( ( d @ X1 )
| ~ ( t1most @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
thf(25,axiom,
! [X1: $i] :
( ( t1most @ X1 )
| ~ ( d @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
thf(26,axiom,
! [X1: $i,X3: $i,X2: $i] :
( ( t2least @ X1 )
| ( equalish @ X3 @ X2 )
| ~ ( t @ X1 @ X3 )
| ~ ( t @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
thf(27,axiom,
! [X1: $i] :
( ( t @ X1 @ ( u1r2 @ X1 ) )
| ~ ( t2least @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(28,axiom,
! [X1: $i] :
( ( t @ X1 @ ( u1r1 @ X1 ) )
| ~ ( t2least @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(29,axiom,
! [X1: $i] :
( ~ ( t2least @ X1 )
| ~ ( equalish @ ( u1r2 @ X1 ) @ ( u1r1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(30,axiom,
! [X1: $i] :
( ( c @ X1 )
| ~ ( t2least @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(31,axiom,
! [X1: $i] :
( ( t2least @ X1 )
| ~ ( c @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(32,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(33,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[32]) ).
thf(34,negated_conjecture,
~ ( f @ exist ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(35,negated_conjecture,
e @ exist,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(36,plain,
$false = $false,
inference(unfold_def,[status(thm)],[33]) ).
thf(37,plain,
( ( ! [X1: $i] :
( ( s1most @ X1 )
| ( s @ X1 @ ( u7r2 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(38,plain,
( ( ! [X1: $i] :
( ( s1most @ X1 )
| ( s @ X1 @ ( u7r1 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(39,plain,
( ( ! [X1: $i] :
( ( s1most @ X1 )
| ~ ( equalish @ ( u7r2 @ X1 ) @ ( u7r1 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(40,plain,
( ( ! [X3: $i,X2: $i,X1: $i] :
( ( equalish @ X3 @ X2 )
| ~ ( s1most @ X1 )
| ~ ( s @ X1 @ X3 )
| ~ ( s @ X1 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(41,plain,
( ( ! [X1: $i] :
( ( f @ X1 )
| ( r @ X1 @ ( u6r1 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(42,plain,
( ( ! [X1: $i] :
( ( f @ X1 )
| ~ ( s1most @ ( u6r1 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(43,plain,
( ( ! [X2: $i,X1: $i] :
( ( s1most @ X2 )
| ~ ( f @ X1 )
| ~ ( r @ X1 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(44,plain,
( ( ! [X1: $i,X3: $i,X2: $i] :
( ( s2least @ X1 )
| ( equalish @ X3 @ X2 )
| ~ ( s @ X1 @ X3 )
| ~ ( s @ X1 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(45,plain,
( ( ! [X1: $i] :
( ( s @ X1 @ ( u5r2 @ X1 ) )
| ~ ( s2least @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(46,plain,
( ( ! [X1: $i] :
( ( s @ X1 @ ( u5r1 @ X1 ) )
| ~ ( s2least @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(47,plain,
( ( ! [X1: $i] :
( ~ ( s2least @ X1 )
| ~ ( equalish @ ( u5r2 @ X1 ) @ ( u5r1 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(48,plain,
( ( ! [X1: $i] :
( ( e @ X1 )
| ( r @ X1 @ ( u4r1 @ X1 ) )
| ( r @ X1 @ ( u4r2 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(49,plain,
( ( ! [X1: $i] :
( ( e @ X1 )
| ( r @ X1 @ ( u4r1 @ X1 ) )
| ~ ( d @ ( u4r2 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(50,plain,
( ( ! [X1: $i] :
( ( e @ X1 )
| ( s2least @ ( u4r1 @ X1 ) )
| ( r @ X1 @ ( u4r2 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(51,plain,
( ( ! [X1: $i] :
( ( e @ X1 )
| ( s2least @ ( u4r1 @ X1 ) )
| ~ ( d @ ( u4r2 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(52,plain,
( ( ! [X1: $i] :
( ( e @ X1 )
| ( r @ X1 @ ( u4r2 @ X1 ) )
| ~ ( c @ ( u4r1 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(53,plain,
( ( ! [X1: $i] :
( ( e @ X1 )
| ~ ( c @ ( u4r1 @ X1 ) )
| ~ ( d @ ( u4r2 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(54,plain,
( ( ! [X2: $i,X1: $i] :
( ( c @ X2 )
| ~ ( e @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( s2least @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(55,plain,
( ( ! [X3: $i,X1: $i] :
( ( d @ X3 )
| ~ ( e @ X1 )
| ~ ( r @ X1 @ X3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(56,plain,
( ( ! [X1: $i] :
( ( t1most @ X1 )
| ( t @ X1 @ ( u3r2 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(57,plain,
( ( ! [X1: $i] :
( ( t1most @ X1 )
| ( t @ X1 @ ( u3r1 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(58,plain,
( ( ! [X1: $i] :
( ( t1most @ X1 )
| ~ ( equalish @ ( u3r2 @ X1 ) @ ( u3r1 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(59,plain,
( ( ! [X3: $i,X2: $i,X1: $i] :
( ( equalish @ X3 @ X2 )
| ~ ( t1most @ X1 )
| ~ ( t @ X1 @ X3 )
| ~ ( t @ X1 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(60,plain,
( ( ! [X1: $i] :
( ( d @ X1 )
| ~ ( t1most @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(61,plain,
( ( ! [X1: $i] :
( ( t1most @ X1 )
| ~ ( d @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(62,plain,
( ( ! [X1: $i,X3: $i,X2: $i] :
( ( t2least @ X1 )
| ( equalish @ X3 @ X2 )
| ~ ( t @ X1 @ X3 )
| ~ ( t @ X1 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(63,plain,
( ( ! [X1: $i] :
( ( t @ X1 @ ( u1r2 @ X1 ) )
| ~ ( t2least @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(64,plain,
( ( ! [X1: $i] :
( ( t @ X1 @ ( u1r1 @ X1 ) )
| ~ ( t2least @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(65,plain,
( ( ! [X1: $i] :
( ~ ( t2least @ X1 )
| ~ ( equalish @ ( u1r2 @ X1 ) @ ( u1r1 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(66,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ~ ( t2least @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(67,plain,
( ( ! [X1: $i] :
( ( t2least @ X1 )
| ~ ( c @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(68,plain,
( ( ~ ( f @ exist ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(69,plain,
( ( e @ exist )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(70,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[36]) ).
thf(71,plain,
( ( ! [X1: $i] :
( ( s @ X1 @ ( u7r2 @ X1 ) )
| ( s1most @ X1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(72,plain,
( ( ! [X1: $i] :
( ( s @ X1 @ ( u7r1 @ X1 ) )
| ( s1most @ X1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(73,plain,
( ( ! [X3: $i,X2: $i] :
( ( equalish @ X3 @ X2 )
| ! [X1: $i] :
( ~ ( s1most @ X1 )
| ~ ( s @ X1 @ X3 )
| ~ ( s @ X1 @ X2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(74,plain,
( ( ! [X2: $i] :
( ( s1most @ X2 )
| ! [X1: $i] :
( ~ ( f @ X1 )
| ~ ( r @ X1 @ X2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(75,plain,
( ( ! [X1: $i] :
( ( s2least @ X1 )
| ! [X3: $i,X2: $i] :
( ( equalish @ X3 @ X2 )
| ~ ( s @ X1 @ X3 )
| ~ ( s @ X1 @ X2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(76,plain,
( ( ! [X1: $i] :
( ( e @ X1 )
| ( r @ X1 @ ( u4r2 @ X1 ) )
| ( s2least @ ( u4r1 @ X1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(77,plain,
( ( ! [X2: $i] :
( ( c @ X2 )
| ! [X1: $i] :
( ~ ( e @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( s2least @ X2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(78,plain,
( ( ! [X3: $i] :
( ( d @ X3 )
| ! [X1: $i] :
( ~ ( e @ X1 )
| ~ ( r @ X1 @ X3 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(79,plain,
( ( ! [X1: $i] :
( ( t @ X1 @ ( u3r2 @ X1 ) )
| ( t1most @ X1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(80,plain,
( ( ! [X1: $i] :
( ( t @ X1 @ ( u3r1 @ X1 ) )
| ( t1most @ X1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(81,plain,
( ( ! [X3: $i,X2: $i] :
( ( equalish @ X3 @ X2 )
| ! [X1: $i] :
( ~ ( t1most @ X1 )
| ~ ( t @ X1 @ X3 )
| ~ ( t @ X1 @ X2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(82,plain,
( ( ! [X1: $i] :
( ( t2least @ X1 )
| ! [X3: $i,X2: $i] :
( ( equalish @ X3 @ X2 )
| ~ ( t @ X1 @ X3 )
| ~ ( t @ X1 @ X2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(83,plain,
( ( e @ exist )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(84,plain,
( ( ~ ( f @ exist ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(85,plain,
( ( ! [X1: $i] :
( ( t2least @ X1 )
| ~ ( c @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(86,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ~ ( t2least @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(87,plain,
( ( ! [X1: $i] :
( ~ ( t2least @ X1 )
| ~ ( equalish @ ( u1r2 @ X1 ) @ ( u1r1 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(88,plain,
( ( ! [X1: $i] :
( ( t @ X1 @ ( u1r1 @ X1 ) )
| ~ ( t2least @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(89,plain,
( ( ! [X1: $i] :
( ( t @ X1 @ ( u1r2 @ X1 ) )
| ~ ( t2least @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(90,plain,
( ( ! [X1: $i] :
( ( t2least @ X1 )
| ! [X3: $i,X2: $i] :
( ( equalish @ X3 @ X2 )
| ~ ( t @ X1 @ X3 )
| ~ ( t @ X1 @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(91,plain,
( ( ! [X1: $i] :
( ( t1most @ X1 )
| ~ ( d @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(92,plain,
( ( ! [X1: $i] :
( ( d @ X1 )
| ~ ( t1most @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(93,plain,
( ( ! [X3: $i,X2: $i] :
( ( equalish @ X3 @ X2 )
| ! [X1: $i] :
( ~ ( t1most @ X1 )
| ~ ( t @ X1 @ X3 )
| ~ ( t @ X1 @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(94,plain,
( ( ! [X1: $i] :
( ( t1most @ X1 )
| ~ ( equalish @ ( u3r2 @ X1 ) @ ( u3r1 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(95,plain,
( ( ! [X1: $i] :
( ( t @ X1 @ ( u3r1 @ X1 ) )
| ( t1most @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(96,plain,
( ( ! [X1: $i] :
( ( t @ X1 @ ( u3r2 @ X1 ) )
| ( t1most @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(97,plain,
( ( ! [X3: $i] :
( ( d @ X3 )
| ! [X1: $i] :
( ~ ( e @ X1 )
| ~ ( r @ X1 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(98,plain,
( ( ! [X2: $i] :
( ( c @ X2 )
| ! [X1: $i] :
( ~ ( e @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( s2least @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(99,plain,
( ( ! [X1: $i] :
( ( e @ X1 )
| ~ ( c @ ( u4r1 @ X1 ) )
| ~ ( d @ ( u4r2 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(100,plain,
( ( ! [X1: $i] :
( ( e @ X1 )
| ( r @ X1 @ ( u4r2 @ X1 ) )
| ~ ( c @ ( u4r1 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(101,plain,
( ( ! [X1: $i] :
( ( e @ X1 )
| ( s2least @ ( u4r1 @ X1 ) )
| ~ ( d @ ( u4r2 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(102,plain,
( ( ! [X1: $i] :
( ( e @ X1 )
| ( r @ X1 @ ( u4r2 @ X1 ) )
| ( s2least @ ( u4r1 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(103,plain,
( ( ! [X1: $i] :
( ( e @ X1 )
| ( r @ X1 @ ( u4r1 @ X1 ) )
| ~ ( d @ ( u4r2 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(104,plain,
( ( ! [X1: $i] :
( ( e @ X1 )
| ( r @ X1 @ ( u4r1 @ X1 ) )
| ( r @ X1 @ ( u4r2 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(105,plain,
( ( ! [X1: $i] :
( ~ ( s2least @ X1 )
| ~ ( equalish @ ( u5r2 @ X1 ) @ ( u5r1 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(106,plain,
( ( ! [X1: $i] :
( ( s @ X1 @ ( u5r1 @ X1 ) )
| ~ ( s2least @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(107,plain,
( ( ! [X1: $i] :
( ( s @ X1 @ ( u5r2 @ X1 ) )
| ~ ( s2least @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(108,plain,
( ( ! [X1: $i] :
( ( s2least @ X1 )
| ! [X3: $i,X2: $i] :
( ( equalish @ X3 @ X2 )
| ~ ( s @ X1 @ X3 )
| ~ ( s @ X1 @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(109,plain,
( ( ! [X2: $i] :
( ( s1most @ X2 )
| ! [X1: $i] :
( ~ ( f @ X1 )
| ~ ( r @ X1 @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(110,plain,
( ( ! [X1: $i] :
( ( f @ X1 )
| ~ ( s1most @ ( u6r1 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(111,plain,
( ( ! [X1: $i] :
( ( f @ X1 )
| ( r @ X1 @ ( u6r1 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(112,plain,
( ( ! [X3: $i,X2: $i] :
( ( equalish @ X3 @ X2 )
| ! [X1: $i] :
( ~ ( s1most @ X1 )
| ~ ( s @ X1 @ X3 )
| ~ ( s @ X1 @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(113,plain,
( ( ! [X1: $i] :
( ( s1most @ X1 )
| ~ ( equalish @ ( u7r2 @ X1 ) @ ( u7r1 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(114,plain,
( ( ! [X1: $i] :
( ( s @ X1 @ ( u7r1 @ X1 ) )
| ( s1most @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(115,plain,
( ( ! [X1: $i] :
( ( s @ X1 @ ( u7r2 @ X1 ) )
| ( s1most @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(116,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[70]) ).
thf(117,plain,
( ( f @ exist )
= $false ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(118,plain,
! [SV1: $i] :
( ( ( t2least @ SV1 )
| ~ ( c @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(119,plain,
! [SV2: $i] :
( ( ( c @ SV2 )
| ~ ( t2least @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(120,plain,
! [SV3: $i] :
( ( ~ ( t2least @ SV3 )
| ~ ( equalish @ ( u1r2 @ SV3 ) @ ( u1r1 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(121,plain,
! [SV4: $i] :
( ( ( t @ SV4 @ ( u1r1 @ SV4 ) )
| ~ ( t2least @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(122,plain,
! [SV5: $i] :
( ( ( t @ SV5 @ ( u1r2 @ SV5 ) )
| ~ ( t2least @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(123,plain,
! [SV6: $i] :
( ( ( t2least @ SV6 )
| ! [SY42: $i,SY43: $i] :
( ( equalish @ SY42 @ SY43 )
| ~ ( t @ SV6 @ SY42 )
| ~ ( t @ SV6 @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(124,plain,
! [SV7: $i] :
( ( ( t1most @ SV7 )
| ~ ( d @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(125,plain,
! [SV8: $i] :
( ( ( d @ SV8 )
| ~ ( t1most @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(126,plain,
! [SV9: $i] :
( ( ! [SY44: $i] :
( ( equalish @ SV9 @ SY44 )
| ! [SY45: $i] :
( ~ ( t1most @ SY45 )
| ~ ( t @ SY45 @ SV9 )
| ~ ( t @ SY45 @ SY44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(127,plain,
! [SV10: $i] :
( ( ( t1most @ SV10 )
| ~ ( equalish @ ( u3r2 @ SV10 ) @ ( u3r1 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(128,plain,
! [SV11: $i] :
( ( ( t @ SV11 @ ( u3r1 @ SV11 ) )
| ( t1most @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(129,plain,
! [SV12: $i] :
( ( ( t @ SV12 @ ( u3r2 @ SV12 ) )
| ( t1most @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(130,plain,
! [SV13: $i] :
( ( ( d @ SV13 )
| ! [SY46: $i] :
( ~ ( e @ SY46 )
| ~ ( r @ SY46 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(131,plain,
! [SV14: $i] :
( ( ( c @ SV14 )
| ! [SY47: $i] :
( ~ ( e @ SY47 )
| ~ ( r @ SY47 @ SV14 )
| ~ ( s2least @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(132,plain,
! [SV15: $i] :
( ( ( e @ SV15 )
| ~ ( c @ ( u4r1 @ SV15 ) )
| ~ ( d @ ( u4r2 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(133,plain,
! [SV16: $i] :
( ( ( e @ SV16 )
| ( r @ SV16 @ ( u4r2 @ SV16 ) )
| ~ ( c @ ( u4r1 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(134,plain,
! [SV17: $i] :
( ( ( e @ SV17 )
| ( s2least @ ( u4r1 @ SV17 ) )
| ~ ( d @ ( u4r2 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(135,plain,
! [SV18: $i] :
( ( ( e @ SV18 )
| ( r @ SV18 @ ( u4r2 @ SV18 ) )
| ( s2least @ ( u4r1 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(136,plain,
! [SV19: $i] :
( ( ( e @ SV19 )
| ( r @ SV19 @ ( u4r1 @ SV19 ) )
| ~ ( d @ ( u4r2 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(137,plain,
! [SV20: $i] :
( ( ( e @ SV20 )
| ( r @ SV20 @ ( u4r1 @ SV20 ) )
| ( r @ SV20 @ ( u4r2 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(138,plain,
! [SV21: $i] :
( ( ~ ( s2least @ SV21 )
| ~ ( equalish @ ( u5r2 @ SV21 ) @ ( u5r1 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(139,plain,
! [SV22: $i] :
( ( ( s @ SV22 @ ( u5r1 @ SV22 ) )
| ~ ( s2least @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(140,plain,
! [SV23: $i] :
( ( ( s @ SV23 @ ( u5r2 @ SV23 ) )
| ~ ( s2least @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(141,plain,
! [SV24: $i] :
( ( ( s2least @ SV24 )
| ! [SY48: $i,SY49: $i] :
( ( equalish @ SY48 @ SY49 )
| ~ ( s @ SV24 @ SY48 )
| ~ ( s @ SV24 @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(142,plain,
! [SV25: $i] :
( ( ( s1most @ SV25 )
| ! [SY50: $i] :
( ~ ( f @ SY50 )
| ~ ( r @ SY50 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(143,plain,
! [SV26: $i] :
( ( ( f @ SV26 )
| ~ ( s1most @ ( u6r1 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(144,plain,
! [SV27: $i] :
( ( ( f @ SV27 )
| ( r @ SV27 @ ( u6r1 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(145,plain,
! [SV28: $i] :
( ( ! [SY51: $i] :
( ( equalish @ SV28 @ SY51 )
| ! [SY52: $i] :
( ~ ( s1most @ SY52 )
| ~ ( s @ SY52 @ SV28 )
| ~ ( s @ SY52 @ SY51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(146,plain,
! [SV29: $i] :
( ( ( s1most @ SV29 )
| ~ ( equalish @ ( u7r2 @ SV29 ) @ ( u7r1 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(147,plain,
! [SV30: $i] :
( ( ( s @ SV30 @ ( u7r1 @ SV30 ) )
| ( s1most @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(148,plain,
! [SV31: $i] :
( ( ( s @ SV31 @ ( u7r2 @ SV31 ) )
| ( s1most @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(149,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(150,plain,
! [SV1: $i] :
( ( ( t2least @ SV1 )
= $true )
| ( ( ~ ( c @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(151,plain,
! [SV2: $i] :
( ( ( c @ SV2 )
= $true )
| ( ( ~ ( t2least @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(152,plain,
! [SV3: $i] :
( ( ( ~ ( t2least @ SV3 ) )
= $true )
| ( ( ~ ( equalish @ ( u1r2 @ SV3 ) @ ( u1r1 @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(153,plain,
! [SV4: $i] :
( ( ( t @ SV4 @ ( u1r1 @ SV4 ) )
= $true )
| ( ( ~ ( t2least @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(154,plain,
! [SV5: $i] :
( ( ( t @ SV5 @ ( u1r2 @ SV5 ) )
= $true )
| ( ( ~ ( t2least @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(155,plain,
! [SV6: $i] :
( ( ( t2least @ SV6 )
= $true )
| ( ( ! [SY42: $i,SY43: $i] :
( ( equalish @ SY42 @ SY43 )
| ~ ( t @ SV6 @ SY42 )
| ~ ( t @ SV6 @ SY43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(156,plain,
! [SV7: $i] :
( ( ( t1most @ SV7 )
= $true )
| ( ( ~ ( d @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(157,plain,
! [SV8: $i] :
( ( ( d @ SV8 )
= $true )
| ( ( ~ ( t1most @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(158,plain,
! [SV32: $i,SV9: $i] :
( ( ( equalish @ SV9 @ SV32 )
| ! [SY53: $i] :
( ~ ( t1most @ SY53 )
| ~ ( t @ SY53 @ SV9 )
| ~ ( t @ SY53 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(159,plain,
! [SV10: $i] :
( ( ( t1most @ SV10 )
= $true )
| ( ( ~ ( equalish @ ( u3r2 @ SV10 ) @ ( u3r1 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(160,plain,
! [SV11: $i] :
( ( ( t @ SV11 @ ( u3r1 @ SV11 ) )
= $true )
| ( ( t1most @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(161,plain,
! [SV12: $i] :
( ( ( t @ SV12 @ ( u3r2 @ SV12 ) )
= $true )
| ( ( t1most @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(162,plain,
! [SV13: $i] :
( ( ( d @ SV13 )
= $true )
| ( ( ! [SY46: $i] :
( ~ ( e @ SY46 )
| ~ ( r @ SY46 @ SV13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(163,plain,
! [SV14: $i] :
( ( ( c @ SV14 )
= $true )
| ( ( ! [SY47: $i] :
( ~ ( e @ SY47 )
| ~ ( r @ SY47 @ SV14 )
| ~ ( s2least @ SV14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(164,plain,
! [SV15: $i] :
( ( ( e @ SV15 )
= $true )
| ( ( ~ ( c @ ( u4r1 @ SV15 ) )
| ~ ( d @ ( u4r2 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(165,plain,
! [SV16: $i] :
( ( ( e @ SV16 )
= $true )
| ( ( ( r @ SV16 @ ( u4r2 @ SV16 ) )
| ~ ( c @ ( u4r1 @ SV16 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(166,plain,
! [SV17: $i] :
( ( ( e @ SV17 )
= $true )
| ( ( ( s2least @ ( u4r1 @ SV17 ) )
| ~ ( d @ ( u4r2 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(167,plain,
! [SV18: $i] :
( ( ( e @ SV18 )
= $true )
| ( ( ( r @ SV18 @ ( u4r2 @ SV18 ) )
| ( s2least @ ( u4r1 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(168,plain,
! [SV19: $i] :
( ( ( e @ SV19 )
= $true )
| ( ( ( r @ SV19 @ ( u4r1 @ SV19 ) )
| ~ ( d @ ( u4r2 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(169,plain,
! [SV20: $i] :
( ( ( e @ SV20 )
= $true )
| ( ( ( r @ SV20 @ ( u4r1 @ SV20 ) )
| ( r @ SV20 @ ( u4r2 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(170,plain,
! [SV21: $i] :
( ( ( ~ ( s2least @ SV21 ) )
= $true )
| ( ( ~ ( equalish @ ( u5r2 @ SV21 ) @ ( u5r1 @ SV21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(171,plain,
! [SV22: $i] :
( ( ( s @ SV22 @ ( u5r1 @ SV22 ) )
= $true )
| ( ( ~ ( s2least @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(172,plain,
! [SV23: $i] :
( ( ( s @ SV23 @ ( u5r2 @ SV23 ) )
= $true )
| ( ( ~ ( s2least @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(173,plain,
! [SV24: $i] :
( ( ( s2least @ SV24 )
= $true )
| ( ( ! [SY48: $i,SY49: $i] :
( ( equalish @ SY48 @ SY49 )
| ~ ( s @ SV24 @ SY48 )
| ~ ( s @ SV24 @ SY49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(174,plain,
! [SV25: $i] :
( ( ( s1most @ SV25 )
= $true )
| ( ( ! [SY50: $i] :
( ~ ( f @ SY50 )
| ~ ( r @ SY50 @ SV25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(175,plain,
! [SV26: $i] :
( ( ( f @ SV26 )
= $true )
| ( ( ~ ( s1most @ ( u6r1 @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(176,plain,
! [SV27: $i] :
( ( ( f @ SV27 )
= $true )
| ( ( r @ SV27 @ ( u6r1 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(177,plain,
! [SV33: $i,SV28: $i] :
( ( ( equalish @ SV28 @ SV33 )
| ! [SY54: $i] :
( ~ ( s1most @ SY54 )
| ~ ( s @ SY54 @ SV28 )
| ~ ( s @ SY54 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(178,plain,
! [SV29: $i] :
( ( ( s1most @ SV29 )
= $true )
| ( ( ~ ( equalish @ ( u7r2 @ SV29 ) @ ( u7r1 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(179,plain,
! [SV30: $i] :
( ( ( s @ SV30 @ ( u7r1 @ SV30 ) )
= $true )
| ( ( s1most @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(180,plain,
! [SV31: $i] :
( ( ( s @ SV31 @ ( u7r2 @ SV31 ) )
= $true )
| ( ( s1most @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(181,plain,
! [SV1: $i] :
( ( ( c @ SV1 )
= $false )
| ( ( t2least @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(182,plain,
! [SV2: $i] :
( ( ( t2least @ SV2 )
= $false )
| ( ( c @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(183,plain,
! [SV3: $i] :
( ( ( t2least @ SV3 )
= $false )
| ( ( ~ ( equalish @ ( u1r2 @ SV3 ) @ ( u1r1 @ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(184,plain,
! [SV4: $i] :
( ( ( t2least @ SV4 )
= $false )
| ( ( t @ SV4 @ ( u1r1 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(185,plain,
! [SV5: $i] :
( ( ( t2least @ SV5 )
= $false )
| ( ( t @ SV5 @ ( u1r2 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(186,plain,
! [SV6: $i,SV34: $i] :
( ( ( ! [SY55: $i] :
( ( equalish @ SV34 @ SY55 )
| ~ ( t @ SV6 @ SV34 )
| ~ ( t @ SV6 @ SY55 ) ) )
= $true )
| ( ( t2least @ SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(187,plain,
! [SV7: $i] :
( ( ( d @ SV7 )
= $false )
| ( ( t1most @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(188,plain,
! [SV8: $i] :
( ( ( t1most @ SV8 )
= $false )
| ( ( d @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(189,plain,
! [SV32: $i,SV9: $i] :
( ( ( equalish @ SV9 @ SV32 )
= $true )
| ( ( ! [SY53: $i] :
( ~ ( t1most @ SY53 )
| ~ ( t @ SY53 @ SV9 )
| ~ ( t @ SY53 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(190,plain,
! [SV10: $i] :
( ( ( equalish @ ( u3r2 @ SV10 ) @ ( u3r1 @ SV10 ) )
= $false )
| ( ( t1most @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(191,plain,
! [SV13: $i,SV35: $i] :
( ( ( ~ ( e @ SV35 )
| ~ ( r @ SV35 @ SV13 ) )
= $true )
| ( ( d @ SV13 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(192,plain,
! [SV14: $i,SV36: $i] :
( ( ( ~ ( e @ SV36 )
| ~ ( r @ SV36 @ SV14 )
| ~ ( s2least @ SV14 ) )
= $true )
| ( ( c @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(193,plain,
! [SV15: $i] :
( ( ( ~ ( c @ ( u4r1 @ SV15 ) ) )
= $true )
| ( ( ~ ( d @ ( u4r2 @ SV15 ) ) )
= $true )
| ( ( e @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(194,plain,
! [SV16: $i] :
( ( ( r @ SV16 @ ( u4r2 @ SV16 ) )
= $true )
| ( ( ~ ( c @ ( u4r1 @ SV16 ) ) )
= $true )
| ( ( e @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(195,plain,
! [SV17: $i] :
( ( ( s2least @ ( u4r1 @ SV17 ) )
= $true )
| ( ( ~ ( d @ ( u4r2 @ SV17 ) ) )
= $true )
| ( ( e @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(196,plain,
! [SV18: $i] :
( ( ( r @ SV18 @ ( u4r2 @ SV18 ) )
= $true )
| ( ( s2least @ ( u4r1 @ SV18 ) )
= $true )
| ( ( e @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(197,plain,
! [SV19: $i] :
( ( ( r @ SV19 @ ( u4r1 @ SV19 ) )
= $true )
| ( ( ~ ( d @ ( u4r2 @ SV19 ) ) )
= $true )
| ( ( e @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(198,plain,
! [SV20: $i] :
( ( ( r @ SV20 @ ( u4r1 @ SV20 ) )
= $true )
| ( ( r @ SV20 @ ( u4r2 @ SV20 ) )
= $true )
| ( ( e @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(199,plain,
! [SV21: $i] :
( ( ( s2least @ SV21 )
= $false )
| ( ( ~ ( equalish @ ( u5r2 @ SV21 ) @ ( u5r1 @ SV21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(200,plain,
! [SV22: $i] :
( ( ( s2least @ SV22 )
= $false )
| ( ( s @ SV22 @ ( u5r1 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(201,plain,
! [SV23: $i] :
( ( ( s2least @ SV23 )
= $false )
| ( ( s @ SV23 @ ( u5r2 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(202,plain,
! [SV24: $i,SV37: $i] :
( ( ( ! [SY56: $i] :
( ( equalish @ SV37 @ SY56 )
| ~ ( s @ SV24 @ SV37 )
| ~ ( s @ SV24 @ SY56 ) ) )
= $true )
| ( ( s2least @ SV24 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(203,plain,
! [SV25: $i,SV38: $i] :
( ( ( ~ ( f @ SV38 )
| ~ ( r @ SV38 @ SV25 ) )
= $true )
| ( ( s1most @ SV25 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(204,plain,
! [SV26: $i] :
( ( ( s1most @ ( u6r1 @ SV26 ) )
= $false )
| ( ( f @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(205,plain,
! [SV33: $i,SV28: $i] :
( ( ( equalish @ SV28 @ SV33 )
= $true )
| ( ( ! [SY54: $i] :
( ~ ( s1most @ SY54 )
| ~ ( s @ SY54 @ SV28 )
| ~ ( s @ SY54 @ SV33 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(206,plain,
! [SV29: $i] :
( ( ( equalish @ ( u7r2 @ SV29 ) @ ( u7r1 @ SV29 ) )
= $false )
| ( ( s1most @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(207,plain,
! [SV3: $i] :
( ( ( equalish @ ( u1r2 @ SV3 ) @ ( u1r1 @ SV3 ) )
= $false )
| ( ( t2least @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(208,plain,
! [SV6: $i,SV39: $i,SV34: $i] :
( ( ( ( equalish @ SV34 @ SV39 )
| ~ ( t @ SV6 @ SV34 )
| ~ ( t @ SV6 @ SV39 ) )
= $true )
| ( ( t2least @ SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(209,plain,
! [SV32: $i,SV9: $i,SV40: $i] :
( ( ( ~ ( t1most @ SV40 )
| ~ ( t @ SV40 @ SV9 )
| ~ ( t @ SV40 @ SV32 ) )
= $true )
| ( ( equalish @ SV9 @ SV32 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(210,plain,
! [SV13: $i,SV35: $i] :
( ( ( ~ ( e @ SV35 ) )
= $true )
| ( ( ~ ( r @ SV35 @ SV13 ) )
= $true )
| ( ( d @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(211,plain,
! [SV14: $i,SV36: $i] :
( ( ( ~ ( e @ SV36 ) )
= $true )
| ( ( ~ ( r @ SV36 @ SV14 )
| ~ ( s2least @ SV14 ) )
= $true )
| ( ( c @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(212,plain,
! [SV15: $i] :
( ( ( c @ ( u4r1 @ SV15 ) )
= $false )
| ( ( ~ ( d @ ( u4r2 @ SV15 ) ) )
= $true )
| ( ( e @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(213,plain,
! [SV16: $i] :
( ( ( c @ ( u4r1 @ SV16 ) )
= $false )
| ( ( r @ SV16 @ ( u4r2 @ SV16 ) )
= $true )
| ( ( e @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(214,plain,
! [SV17: $i] :
( ( ( d @ ( u4r2 @ SV17 ) )
= $false )
| ( ( s2least @ ( u4r1 @ SV17 ) )
= $true )
| ( ( e @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(215,plain,
! [SV19: $i] :
( ( ( d @ ( u4r2 @ SV19 ) )
= $false )
| ( ( r @ SV19 @ ( u4r1 @ SV19 ) )
= $true )
| ( ( e @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(216,plain,
! [SV21: $i] :
( ( ( equalish @ ( u5r2 @ SV21 ) @ ( u5r1 @ SV21 ) )
= $false )
| ( ( s2least @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(217,plain,
! [SV24: $i,SV41: $i,SV37: $i] :
( ( ( ( equalish @ SV37 @ SV41 )
| ~ ( s @ SV24 @ SV37 )
| ~ ( s @ SV24 @ SV41 ) )
= $true )
| ( ( s2least @ SV24 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(218,plain,
! [SV25: $i,SV38: $i] :
( ( ( ~ ( f @ SV38 ) )
= $true )
| ( ( ~ ( r @ SV38 @ SV25 ) )
= $true )
| ( ( s1most @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(219,plain,
! [SV33: $i,SV28: $i,SV42: $i] :
( ( ( ~ ( s1most @ SV42 )
| ~ ( s @ SV42 @ SV28 )
| ~ ( s @ SV42 @ SV33 ) )
= $true )
| ( ( equalish @ SV28 @ SV33 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(220,plain,
! [SV6: $i,SV39: $i,SV34: $i] :
( ( ( equalish @ SV34 @ SV39 )
= $true )
| ( ( ~ ( t @ SV6 @ SV34 )
| ~ ( t @ SV6 @ SV39 ) )
= $true )
| ( ( t2least @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(221,plain,
! [SV32: $i,SV9: $i,SV40: $i] :
( ( ( ~ ( t1most @ SV40 ) )
= $true )
| ( ( ~ ( t @ SV40 @ SV9 )
| ~ ( t @ SV40 @ SV32 ) )
= $true )
| ( ( equalish @ SV9 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(222,plain,
! [SV13: $i,SV35: $i] :
( ( ( e @ SV35 )
= $false )
| ( ( ~ ( r @ SV35 @ SV13 ) )
= $true )
| ( ( d @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(223,plain,
! [SV14: $i,SV36: $i] :
( ( ( e @ SV36 )
= $false )
| ( ( ~ ( r @ SV36 @ SV14 )
| ~ ( s2least @ SV14 ) )
= $true )
| ( ( c @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(224,plain,
! [SV15: $i] :
( ( ( d @ ( u4r2 @ SV15 ) )
= $false )
| ( ( c @ ( u4r1 @ SV15 ) )
= $false )
| ( ( e @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(225,plain,
! [SV24: $i,SV41: $i,SV37: $i] :
( ( ( equalish @ SV37 @ SV41 )
= $true )
| ( ( ~ ( s @ SV24 @ SV37 )
| ~ ( s @ SV24 @ SV41 ) )
= $true )
| ( ( s2least @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(226,plain,
! [SV25: $i,SV38: $i] :
( ( ( f @ SV38 )
= $false )
| ( ( ~ ( r @ SV38 @ SV25 ) )
= $true )
| ( ( s1most @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(227,plain,
! [SV33: $i,SV28: $i,SV42: $i] :
( ( ( ~ ( s1most @ SV42 ) )
= $true )
| ( ( ~ ( s @ SV42 @ SV28 )
| ~ ( s @ SV42 @ SV33 ) )
= $true )
| ( ( equalish @ SV28 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(228,plain,
! [SV39: $i,SV34: $i,SV6: $i] :
( ( ( ~ ( t @ SV6 @ SV34 ) )
= $true )
| ( ( ~ ( t @ SV6 @ SV39 ) )
= $true )
| ( ( equalish @ SV34 @ SV39 )
= $true )
| ( ( t2least @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(229,plain,
! [SV32: $i,SV9: $i,SV40: $i] :
( ( ( t1most @ SV40 )
= $false )
| ( ( ~ ( t @ SV40 @ SV9 )
| ~ ( t @ SV40 @ SV32 ) )
= $true )
| ( ( equalish @ SV9 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(230,plain,
! [SV13: $i,SV35: $i] :
( ( ( r @ SV35 @ SV13 )
= $false )
| ( ( e @ SV35 )
= $false )
| ( ( d @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(231,plain,
! [SV14: $i,SV36: $i] :
( ( ( ~ ( r @ SV36 @ SV14 ) )
= $true )
| ( ( ~ ( s2least @ SV14 ) )
= $true )
| ( ( e @ SV36 )
= $false )
| ( ( c @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(232,plain,
! [SV41: $i,SV37: $i,SV24: $i] :
( ( ( ~ ( s @ SV24 @ SV37 ) )
= $true )
| ( ( ~ ( s @ SV24 @ SV41 ) )
= $true )
| ( ( equalish @ SV37 @ SV41 )
= $true )
| ( ( s2least @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(233,plain,
! [SV25: $i,SV38: $i] :
( ( ( r @ SV38 @ SV25 )
= $false )
| ( ( f @ SV38 )
= $false )
| ( ( s1most @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(234,plain,
! [SV33: $i,SV28: $i,SV42: $i] :
( ( ( s1most @ SV42 )
= $false )
| ( ( ~ ( s @ SV42 @ SV28 )
| ~ ( s @ SV42 @ SV33 ) )
= $true )
| ( ( equalish @ SV28 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(235,plain,
! [SV39: $i,SV34: $i,SV6: $i] :
( ( ( t @ SV6 @ SV34 )
= $false )
| ( ( ~ ( t @ SV6 @ SV39 ) )
= $true )
| ( ( equalish @ SV34 @ SV39 )
= $true )
| ( ( t2least @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(236,plain,
! [SV32: $i,SV9: $i,SV40: $i] :
( ( ( ~ ( t @ SV40 @ SV9 ) )
= $true )
| ( ( ~ ( t @ SV40 @ SV32 ) )
= $true )
| ( ( t1most @ SV40 )
= $false )
| ( ( equalish @ SV9 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(237,plain,
! [SV14: $i,SV36: $i] :
( ( ( r @ SV36 @ SV14 )
= $false )
| ( ( ~ ( s2least @ SV14 ) )
= $true )
| ( ( e @ SV36 )
= $false )
| ( ( c @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(238,plain,
! [SV41: $i,SV37: $i,SV24: $i] :
( ( ( s @ SV24 @ SV37 )
= $false )
| ( ( ~ ( s @ SV24 @ SV41 ) )
= $true )
| ( ( equalish @ SV37 @ SV41 )
= $true )
| ( ( s2least @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(239,plain,
! [SV33: $i,SV28: $i,SV42: $i] :
( ( ( ~ ( s @ SV42 @ SV28 ) )
= $true )
| ( ( ~ ( s @ SV42 @ SV33 ) )
= $true )
| ( ( s1most @ SV42 )
= $false )
| ( ( equalish @ SV28 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(240,plain,
! [SV34: $i,SV39: $i,SV6: $i] :
( ( ( t @ SV6 @ SV39 )
= $false )
| ( ( t @ SV6 @ SV34 )
= $false )
| ( ( equalish @ SV34 @ SV39 )
= $true )
| ( ( t2least @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(241,plain,
! [SV32: $i,SV9: $i,SV40: $i] :
( ( ( t @ SV40 @ SV9 )
= $false )
| ( ( ~ ( t @ SV40 @ SV32 ) )
= $true )
| ( ( t1most @ SV40 )
= $false )
| ( ( equalish @ SV9 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(242,plain,
! [SV36: $i,SV14: $i] :
( ( ( s2least @ SV14 )
= $false )
| ( ( r @ SV36 @ SV14 )
= $false )
| ( ( e @ SV36 )
= $false )
| ( ( c @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(243,plain,
! [SV37: $i,SV41: $i,SV24: $i] :
( ( ( s @ SV24 @ SV41 )
= $false )
| ( ( s @ SV24 @ SV37 )
= $false )
| ( ( equalish @ SV37 @ SV41 )
= $true )
| ( ( s2least @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(244,plain,
! [SV33: $i,SV28: $i,SV42: $i] :
( ( ( s @ SV42 @ SV28 )
= $false )
| ( ( ~ ( s @ SV42 @ SV33 ) )
= $true )
| ( ( s1most @ SV42 )
= $false )
| ( ( equalish @ SV28 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(245,plain,
! [SV9: $i,SV32: $i,SV40: $i] :
( ( ( t @ SV40 @ SV32 )
= $false )
| ( ( t @ SV40 @ SV9 )
= $false )
| ( ( t1most @ SV40 )
= $false )
| ( ( equalish @ SV9 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(246,plain,
! [SV28: $i,SV33: $i,SV42: $i] :
( ( ( s @ SV42 @ SV33 )
= $false )
| ( ( s @ SV42 @ SV28 )
= $false )
| ( ( s1most @ SV42 )
= $false )
| ( ( equalish @ SV28 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(247,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[83,246,245,243,242,240,233,230,224,216,215,214,213,207,206,204,201,200,198,196,190,188,187,185,184,182,181,180,179,176,161,160,149,117]) ).
thf(248,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS013-1 : TPTP v9.3.1. Released v2.0.0.
% 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
% 0.11/0.16 % Computer : n002.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Tue Oct 6 11:42:12 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.16 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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% 0.11/0.25 No.of.Axioms: 33
% 0.11/0.25
% 0.11/0.25 Length.of.Defs: 0
% 0.11/0.25
% 0.11/0.25 Contains.Choice.Funs: false
% 0.11/0.25 .....
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% 0.11/0.25 ********************************
% 0.11/0.25 * All subproblems solved! *
% 0.11/0.25 ********************************
% 0.11/0.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:33,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:247,loop_count:0,foatp_calls:1,translation:fof_experiment)
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% 0.11/0.25 %**** Beginning of derivation protocol ****
% 0.11/0.25 % SZS output start CNFRefutation
% See solution above
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% 0.11/0.25 %**** End of derivation protocol ****
% 0.11/0.25 %**** no. of clauses in derivation: 248 ****
% 0.11/0.25 %**** clause counter: 247 ****
% 0.11/0.25
% 0.11/0.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:33,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:247,loop_count:0,foatp_calls:1,translation:fof_experiment)
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