%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GRA117^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 10:19:52 AM UTC 2026
% Result : Unsatisfiable 217.50s 36.85s
% Output : CNFRefutation 217.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 396 ( 93 unt; 0 typ; 0 def)
% Number of atoms : 5046 (2504 equ; 0 cnn)
% Maximal formula atoms : 7 ( 12 avg)
% Number of connectives : 3325 ( 105 ~;1296 |; 0 &;1924 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 8 con; 0-2 aty)
% Number of variables : 398 ( 0 ^; 398 !; 0 ?; 398 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_r,type,
r: $i > $i > $o ).
thf(tp_v0,type,
v0: $i ).
thf(tp_v1,type,
v1: $i ).
thf(tp_v2,type,
v2: $i ).
thf(tp_v3,type,
v3: $i ).
thf(tp_v4,type,
v4: $i ).
thf(tp_v5,type,
v5: $i ).
thf(1,axiom,
v4 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4nv5) ).
thf(2,axiom,
v3 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3nv5) ).
thf(3,axiom,
v2 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2nv5) ).
thf(4,axiom,
v1 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv5) ).
thf(5,axiom,
v0 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv5) ).
thf(6,axiom,
v3 != v4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3nv4) ).
thf(7,axiom,
v2 != v4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2nv4) ).
thf(8,axiom,
v1 != v4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv4) ).
thf(9,axiom,
v0 != v4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv4) ).
thf(10,axiom,
v2 != v3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2nv3) ).
thf(11,axiom,
v1 != v3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv3) ).
thf(12,axiom,
v0 != v3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv3) ).
thf(13,axiom,
v1 != v2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv2) ).
thf(14,axiom,
v0 != v2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv2) ).
thf(15,axiom,
v0 != v1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv1) ).
thf(16,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( X = Y )
| ( X = Z )
| ( Y = Z )
| ( r @ X @ Y )
| ( r @ X @ Z )
| ( r @ Y @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rno3acl) ).
thf(17,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( X = Y )
| ( X = Z )
| ( Y = Z )
| ~ ( r @ X @ Y )
| ~ ( r @ X @ Z )
| ~ ( r @ Y @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rno3cl) ).
thf(18,axiom,
! [X: $i,Y: $i] :
( ~ ( r @ X @ Y )
| ( r @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rsym) ).
thf(22,plain,
( ( v4 != v5 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(23,plain,
( ( v3 != v5 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(24,plain,
( ( v2 != v5 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(25,plain,
( ( v1 != v5 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(26,plain,
( ( v0 != v5 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(27,plain,
( ( v3 != v4 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(28,plain,
( ( v2 != v4 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(29,plain,
( ( v1 != v4 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(30,plain,
( ( v0 != v4 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(31,plain,
( ( v2 != v3 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(32,plain,
( ( v1 != v3 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(33,plain,
( ( v0 != v3 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(34,plain,
( ( v1 != v2 )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(35,plain,
( ( v0 != v2 )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(36,plain,
( ( v0 != v1 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(37,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( X = Y )
| ( X = Z )
| ( Y = Z )
| ( r @ X @ Y )
| ( r @ X @ Z )
| ( r @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(38,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( X = Y )
| ( X = Z )
| ( Y = Z )
| ~ ( r @ X @ Y )
| ~ ( r @ X @ Z )
| ~ ( r @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(39,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( r @ X @ Y )
| ( r @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(41,plain,
( ( v4 != v5 )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(42,plain,
( ( v3 != v5 )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(43,plain,
( ( v2 != v5 )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(44,plain,
( ( v1 != v5 )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(45,plain,
( ( v0 != v5 )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(46,plain,
( ( v3 != v4 )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(47,plain,
( ( v2 != v4 )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(48,plain,
( ( v1 != v4 )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(49,plain,
( ( v0 != v4 )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(50,plain,
( ( v2 != v3 )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(51,plain,
( ( v1 != v3 )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(52,plain,
( ( v0 != v3 )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(53,plain,
( ( v1 != v2 )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(54,plain,
( ( v0 != v2 )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(55,plain,
( ( v0 != v1 )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(56,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( r @ Y @ Z )
| ( r @ X @ Z )
| ( r @ X @ Y )
| ( Y = Z )
| ( X = Y )
| ( X = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(57,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ( X = Y )
| ( X = Z )
| ~ ( r @ X @ Y )
| ~ ( r @ X @ Z )
| ~ ( r @ Y @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( r @ X @ Y )
| ( r @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(59,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( Y = Z )
| ( X = Y )
| ( X = Z )
| ~ ( r @ X @ Y )
| ~ ( r @ X @ Z )
| ~ ( r @ Y @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(60,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( r @ Y @ Z )
| ( r @ X @ Z )
| ( r @ X @ Y )
| ( Y = Z )
| ( X = Y )
| ( X = Z ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(61,plain,
( ( v0 != v1 )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(62,plain,
( ( v0 != v2 )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(63,plain,
( ( v1 != v2 )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(64,plain,
( ( v0 != v3 )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(65,plain,
( ( v1 != v3 )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(66,plain,
( ( v2 != v3 )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(67,plain,
( ( v0 != v4 )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(68,plain,
( ( v1 != v4 )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(69,plain,
( ( v2 != v4 )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(70,plain,
( ( v3 != v4 )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(71,plain,
( ( v0 != v5 )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(72,plain,
( ( v1 != v5 )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(73,plain,
( ( v2 != v5 )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(74,plain,
( ( v3 != v5 )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(75,plain,
( ( v4 != v5 )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(77,plain,
! [SV1: $i] :
( ( ! [SY8: $i] :
( ~ ( r @ SV1 @ SY8 )
| ( r @ SY8 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(78,plain,
! [SV2: $i] :
( ( ! [SY9: $i,SY10: $i] :
( ( SY9 = SY10 )
| ( SV2 = SY9 )
| ( SV2 = SY10 )
| ~ ( r @ SV2 @ SY9 )
| ~ ( r @ SV2 @ SY10 )
| ~ ( r @ SY9 @ SY10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(79,plain,
! [SV3: $i] :
( ( ! [SY11: $i,SY12: $i] :
( ( r @ SY11 @ SY12 )
| ( r @ SV3 @ SY12 )
| ( r @ SV3 @ SY11 )
| ( SY11 = SY12 )
| ( SV3 = SY11 )
| ( SV3 = SY12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(80,plain,
( ( v0 = v1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(81,plain,
( ( v0 = v2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(82,plain,
( ( v1 = v2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(83,plain,
( ( v0 = v3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(84,plain,
( ( v1 = v3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(85,plain,
( ( v2 = v3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(86,plain,
( ( v0 = v4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(87,plain,
( ( v1 = v4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(88,plain,
( ( v2 = v4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(89,plain,
( ( v3 = v4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(90,plain,
( ( v0 = v5 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(91,plain,
( ( v1 = v5 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(92,plain,
( ( v2 = v5 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(93,plain,
( ( v3 = v5 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(94,plain,
( ( v4 = v5 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(96,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( r @ SV1 @ SV4 )
| ( r @ SV4 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(97,plain,
! [SV2: $i,SV5: $i] :
( ( ! [SY13: $i] :
( ( SV5 = SY13 )
| ( SV2 = SV5 )
| ( SV2 = SY13 )
| ~ ( r @ SV2 @ SV5 )
| ~ ( r @ SV2 @ SY13 )
| ~ ( r @ SV5 @ SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(98,plain,
! [SV3: $i,SV6: $i] :
( ( ! [SY14: $i] :
( ( r @ SV6 @ SY14 )
| ( r @ SV3 @ SY14 )
| ( r @ SV3 @ SV6 )
| ( SV6 = SY14 )
| ( SV3 = SV6 )
| ( SV3 = SY14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(99,plain,
! [SV4: $i,SV1: $i] :
( ( ( ~ ( r @ SV1 @ SV4 ) )
= $true )
| ( ( r @ SV4 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(100,plain,
! [SV2: $i,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
| ( SV2 = SV5 )
| ( SV2 = SV7 )
| ~ ( r @ SV2 @ SV5 )
| ~ ( r @ SV2 @ SV7 )
| ~ ( r @ SV5 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(101,plain,
! [SV3: $i,SV8: $i,SV6: $i] :
( ( ( r @ SV6 @ SV8 )
| ( r @ SV3 @ SV8 )
| ( r @ SV3 @ SV6 )
| ( SV6 = SV8 )
| ( SV3 = SV6 )
| ( SV3 = SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(102,plain,
! [SV4: $i,SV1: $i] :
( ( ( r @ SV1 @ SV4 )
= $false )
| ( ( r @ SV4 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(103,plain,
! [SV2: $i,SV7: $i,SV5: $i] :
( ( ( ( SV5 = SV7 )
| ( SV2 = SV5 )
| ( SV2 = SV7 )
| ~ ( r @ SV2 @ SV5 )
| ~ ( r @ SV2 @ SV7 ) )
= $true )
| ( ( ~ ( r @ SV5 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(104,plain,
! [SV3: $i,SV8: $i,SV6: $i] :
( ( ( r @ SV6 @ SV8 )
= $true )
| ( ( ( r @ SV3 @ SV8 )
| ( r @ SV3 @ SV6 )
| ( SV6 = SV8 )
| ( SV3 = SV6 )
| ( SV3 = SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(105,plain,
! [SV2: $i,SV7: $i,SV5: $i] :
( ( ( ( SV5 = SV7 )
| ( SV2 = SV5 )
| ( SV2 = SV7 )
| ~ ( r @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( r @ SV2 @ SV7 ) )
= $true )
| ( ( ~ ( r @ SV5 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(106,plain,
! [SV6: $i,SV8: $i,SV3: $i] :
( ( ( r @ SV3 @ SV8 )
= $true )
| ( ( ( r @ SV3 @ SV6 )
| ( SV6 = SV8 )
| ( SV3 = SV6 )
| ( SV3 = SV8 ) )
= $true )
| ( ( r @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(107,plain,
! [SV2: $i,SV7: $i,SV5: $i] :
( ( ( ( SV5 = SV7 )
| ( SV2 = SV5 )
| ( SV2 = SV7 ) )
= $true )
| ( ( ~ ( r @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( r @ SV2 @ SV7 ) )
= $true )
| ( ( ~ ( r @ SV5 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(108,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( r @ SV3 @ SV6 )
= $true )
| ( ( ( SV6 = SV8 )
| ( SV3 = SV6 )
| ( SV3 = SV8 ) )
= $true )
| ( ( r @ SV3 @ SV8 )
= $true )
| ( ( r @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(109,plain,
! [SV2: $i,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $true )
| ( ( ( SV2 = SV5 )
| ( SV2 = SV7 ) )
= $true )
| ( ( ~ ( r @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( r @ SV2 @ SV7 ) )
= $true )
| ( ( ~ ( r @ SV5 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(110,plain,
! [SV3: $i,SV8: $i,SV6: $i] :
( ( ( SV6 = SV8 )
= $true )
| ( ( ( SV3 = SV6 )
| ( SV3 = SV8 ) )
= $true )
| ( ( r @ SV3 @ SV6 )
= $true )
| ( ( r @ SV3 @ SV8 )
= $true )
| ( ( r @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(111,plain,
! [SV7: $i,SV5: $i,SV2: $i] :
( ( ( SV2 = SV5 )
= $true )
| ( ( SV2 = SV7 )
= $true )
| ( ( SV5 = SV7 )
= $true )
| ( ( ~ ( r @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( r @ SV2 @ SV7 ) )
= $true )
| ( ( ~ ( r @ SV5 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(112,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( SV3 = SV6 )
= $true )
| ( ( SV3 = SV8 )
= $true )
| ( ( SV6 = SV8 )
= $true )
| ( ( r @ SV3 @ SV6 )
= $true )
| ( ( r @ SV3 @ SV8 )
= $true )
| ( ( r @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(113,plain,
! [SV7: $i,SV5: $i,SV2: $i] :
( ( ( r @ SV2 @ SV5 )
= $false )
| ( ( SV5 = SV7 )
= $true )
| ( ( SV2 = SV7 )
= $true )
| ( ( SV2 = SV5 )
= $true )
| ( ( ~ ( r @ SV2 @ SV7 ) )
= $true )
| ( ( ~ ( r @ SV5 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(114,plain,
! [SV5: $i,SV7: $i,SV2: $i] :
( ( ( r @ SV2 @ SV7 )
= $false )
| ( ( SV2 = SV5 )
= $true )
| ( ( SV2 = SV7 )
= $true )
| ( ( SV5 = SV7 )
= $true )
| ( ( r @ SV2 @ SV5 )
= $false )
| ( ( ~ ( r @ SV5 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(115,plain,
! [SV2: $i,SV7: $i,SV5: $i] :
( ( ( r @ SV5 @ SV7 )
= $false )
| ( ( r @ SV2 @ SV5 )
= $false )
| ( ( SV5 = SV7 )
= $true )
| ( ( SV2 = SV7 )
= $true )
| ( ( SV2 = SV5 )
= $true )
| ( ( r @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(116,plain,
! [SV9: $i,SV10: $i] :
( ( ( r @ SV10 @ SV9 )
= $false )
| ( ( r @ SV9 @ SV10 )
= $true ) ),
inference(rename,[status(thm)],[102]) ).
thf(136,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(rename,[status(thm)],[112]) ).
thf(137,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV9: $i,SV10: $i] :
( ( ( ( r @ SV12 @ SV11 )
= ( r @ SV10 @ SV9 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV9 @ SV10 )
= $true ) ),
inference(res,[status(thm)],[136,116]) ).
thf(138,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV9: $i,SV10: $i] :
( ( ( ( r @ SV13 @ SV11 )
= ( r @ SV10 @ SV9 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true )
| ( ( r @ SV9 @ SV10 )
= $true ) ),
inference(res,[status(thm)],[136,116]) ).
thf(139,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV9: $i,SV10: $i] :
( ( ( ( r @ SV13 @ SV12 )
= ( r @ SV10 @ SV9 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true )
| ( ( r @ SV9 @ SV10 )
= $true ) ),
inference(res,[status(thm)],[136,116]) ).
thf(146,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v4 = v5 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,94]) ).
thf(147,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v4 = v5 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,94]) ).
thf(148,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v4 = v5 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,94]) ).
thf(152,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v3 = v5 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,93]) ).
thf(153,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v3 = v5 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,93]) ).
thf(154,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v3 = v5 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,93]) ).
thf(158,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v2 = v5 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,92]) ).
thf(159,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v2 = v5 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,92]) ).
thf(160,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v2 = v5 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,92]) ).
thf(164,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v1 = v5 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,91]) ).
thf(165,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v1 = v5 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,91]) ).
thf(166,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v1 = v5 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,91]) ).
thf(170,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v0 = v5 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,90]) ).
thf(171,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v0 = v5 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,90]) ).
thf(172,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v0 = v5 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,90]) ).
thf(176,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v3 = v4 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,89]) ).
thf(177,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v3 = v4 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,89]) ).
thf(178,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v3 = v4 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,89]) ).
thf(182,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v2 = v4 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,88]) ).
thf(183,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v2 = v4 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,88]) ).
thf(184,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v2 = v4 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,88]) ).
thf(188,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v1 = v4 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,87]) ).
thf(189,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v1 = v4 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,87]) ).
thf(190,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v1 = v4 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,87]) ).
thf(194,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v0 = v4 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,86]) ).
thf(195,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v0 = v4 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,86]) ).
thf(196,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v0 = v4 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,86]) ).
thf(200,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v2 = v3 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,85]) ).
thf(201,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v2 = v3 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,85]) ).
thf(202,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v2 = v3 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,85]) ).
thf(206,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v1 = v3 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,84]) ).
thf(207,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v1 = v3 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,84]) ).
thf(208,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v1 = v3 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,84]) ).
thf(212,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v0 = v3 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,83]) ).
thf(213,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v0 = v3 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,83]) ).
thf(214,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v0 = v3 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,83]) ).
thf(218,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v1 = v2 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,82]) ).
thf(219,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v1 = v2 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,82]) ).
thf(220,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v1 = v2 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,82]) ).
thf(224,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v0 = v2 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,81]) ).
thf(225,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v0 = v2 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,81]) ).
thf(226,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v0 = v2 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,81]) ).
thf(230,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV12 = SV11 )
= ( v0 = v1 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV13 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,80]) ).
thf(231,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV11 )
= ( v0 = v1 ) )
= $false )
| ( ( SV13 = SV12 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,80]) ).
thf(232,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ( SV13 = SV12 )
= ( v0 = v1 ) )
= $false )
| ( ( SV13 = SV11 )
= $true )
| ( ( SV12 = SV11 )
= $true )
| ( ( r @ SV13 @ SV12 )
= $true )
| ( ( r @ SV13 @ SV11 )
= $true )
| ( ( r @ SV12 @ SV11 )
= $true ) ),
inference(res,[status(thm)],[136,80]) ).
thf(233,plain,
! [SV11: $i] :
( ( ( r @ v0 @ SV11 )
= $true )
| ( ( r @ v1 @ SV11 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV11 )
= $true )
| ( ( v1 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[232:[bind(SV13,$thf( v1 )),bind(SV12,$thf( v0 ))]]) ).
thf(234,plain,
! [SV11: $i] :
( ( ( r @ v1 @ SV11 )
= $true )
| ( ( r @ v0 @ SV11 )
= $true )
| ( ( r @ v0 @ v1 )
= $true )
| ( ( v1 = SV11 )
= $true )
| ( ( v0 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[232:[bind(SV12,$thf( v1 )),bind(SV13,$thf( v0 ))]]) ).
thf(235,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ SV12 )
= $true )
| ( ( SV12 = v0 )
= $true )
| ( ( v1 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[231:[bind(SV13,$thf( v1 )),bind(SV11,$thf( v0 ))]]) ).
thf(236,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v1 )
= $true )
| ( ( r @ v0 @ v1 )
= $true )
| ( ( r @ v0 @ SV12 )
= $true )
| ( ( SV12 = v1 )
= $true )
| ( ( v0 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[231:[bind(SV11,$thf( v1 )),bind(SV13,$thf( v0 ))]]) ).
thf(237,plain,
! [SV13: $i] :
( ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ SV13 @ v0 )
= $true )
| ( ( r @ SV13 @ v1 )
= $true )
| ( ( SV13 = v0 )
= $true )
| ( ( SV13 = v1 )
= $true ) ),
inference(extuni,[status(esa)],[230:[bind(SV12,$thf( v1 )),bind(SV11,$thf( v0 ))]]) ).
thf(238,plain,
! [SV13: $i] :
( ( ( r @ v0 @ v1 )
= $true )
| ( ( r @ SV13 @ v1 )
= $true )
| ( ( r @ SV13 @ v0 )
= $true )
| ( ( SV13 = v1 )
= $true )
| ( ( SV13 = v0 )
= $true ) ),
inference(extuni,[status(esa)],[230:[bind(SV11,$thf( v1 )),bind(SV12,$thf( v0 ))]]) ).
thf(239,plain,
! [SV11: $i] :
( ( ( r @ v0 @ SV11 )
= $true )
| ( ( r @ v2 @ SV11 )
= $true )
| ( ( r @ v2 @ v0 )
= $true )
| ( ( v0 = SV11 )
= $true )
| ( ( v2 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[226:[bind(SV13,$thf( v2 )),bind(SV12,$thf( v0 ))]]) ).
thf(240,plain,
! [SV11: $i] :
( ( ( r @ v2 @ SV11 )
= $true )
| ( ( r @ v0 @ SV11 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( v2 = SV11 )
= $true )
| ( ( v0 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[226:[bind(SV12,$thf( v2 )),bind(SV13,$thf( v0 ))]]) ).
thf(241,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v0 )
= $true )
| ( ( r @ v2 @ v0 )
= $true )
| ( ( r @ v2 @ SV12 )
= $true )
| ( ( SV12 = v0 )
= $true )
| ( ( v2 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[225:[bind(SV13,$thf( v2 )),bind(SV11,$thf( v0 ))]]) ).
thf(242,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v0 @ SV12 )
= $true )
| ( ( SV12 = v2 )
= $true )
| ( ( v0 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[225:[bind(SV11,$thf( v2 )),bind(SV13,$thf( v0 ))]]) ).
thf(243,plain,
! [SV13: $i] :
( ( ( r @ v2 @ v0 )
= $true )
| ( ( r @ SV13 @ v0 )
= $true )
| ( ( r @ SV13 @ v2 )
= $true )
| ( ( SV13 = v0 )
= $true )
| ( ( SV13 = v2 )
= $true ) ),
inference(extuni,[status(esa)],[224:[bind(SV12,$thf( v2 )),bind(SV11,$thf( v0 ))]]) ).
thf(244,plain,
! [SV13: $i] :
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ SV13 @ v2 )
= $true )
| ( ( r @ SV13 @ v0 )
= $true )
| ( ( SV13 = v2 )
= $true )
| ( ( SV13 = v0 )
= $true ) ),
inference(extuni,[status(esa)],[224:[bind(SV11,$thf( v2 )),bind(SV12,$thf( v0 ))]]) ).
thf(245,plain,
! [SV11: $i] :
( ( ( r @ v1 @ SV11 )
= $true )
| ( ( r @ v2 @ SV11 )
= $true )
| ( ( r @ v2 @ v1 )
= $true )
| ( ( v1 = SV11 )
= $true )
| ( ( v2 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[220:[bind(SV13,$thf( v2 )),bind(SV12,$thf( v1 ))]]) ).
thf(246,plain,
! [SV11: $i] :
( ( ( r @ v2 @ SV11 )
= $true )
| ( ( r @ v1 @ SV11 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( v2 = SV11 )
= $true )
| ( ( v1 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[220:[bind(SV12,$thf( v2 )),bind(SV13,$thf( v1 ))]]) ).
thf(247,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v1 )
= $true )
| ( ( r @ v2 @ v1 )
= $true )
| ( ( r @ v2 @ SV12 )
= $true )
| ( ( SV12 = v1 )
= $true )
| ( ( v2 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[219:[bind(SV13,$thf( v2 )),bind(SV11,$thf( v1 ))]]) ).
thf(248,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ SV12 )
= $true )
| ( ( SV12 = v2 )
= $true )
| ( ( v1 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[219:[bind(SV11,$thf( v2 )),bind(SV13,$thf( v1 ))]]) ).
thf(249,plain,
! [SV13: $i] :
( ( ( r @ v2 @ v1 )
= $true )
| ( ( r @ SV13 @ v1 )
= $true )
| ( ( r @ SV13 @ v2 )
= $true )
| ( ( SV13 = v1 )
= $true )
| ( ( SV13 = v2 )
= $true ) ),
inference(extuni,[status(esa)],[218:[bind(SV12,$thf( v2 )),bind(SV11,$thf( v1 ))]]) ).
thf(250,plain,
! [SV13: $i] :
( ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ SV13 @ v2 )
= $true )
| ( ( r @ SV13 @ v1 )
= $true )
| ( ( SV13 = v2 )
= $true )
| ( ( SV13 = v1 )
= $true ) ),
inference(extuni,[status(esa)],[218:[bind(SV11,$thf( v2 )),bind(SV12,$thf( v1 ))]]) ).
thf(251,plain,
! [SV11: $i] :
( ( ( r @ v0 @ SV11 )
= $true )
| ( ( r @ v3 @ SV11 )
= $true )
| ( ( r @ v3 @ v0 )
= $true )
| ( ( v0 = SV11 )
= $true )
| ( ( v3 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[214:[bind(SV13,$thf( v3 )),bind(SV12,$thf( v0 ))]]) ).
thf(252,plain,
! [SV11: $i] :
( ( ( r @ v3 @ SV11 )
= $true )
| ( ( r @ v0 @ SV11 )
= $true )
| ( ( r @ v0 @ v3 )
= $true )
| ( ( v3 = SV11 )
= $true )
| ( ( v0 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[214:[bind(SV12,$thf( v3 )),bind(SV13,$thf( v0 ))]]) ).
thf(253,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v0 )
= $true )
| ( ( r @ v3 @ v0 )
= $true )
| ( ( r @ v3 @ SV12 )
= $true )
| ( ( SV12 = v0 )
= $true )
| ( ( v3 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[213:[bind(SV13,$thf( v3 )),bind(SV11,$thf( v0 ))]]) ).
thf(254,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v3 )
= $true )
| ( ( r @ v0 @ v3 )
= $true )
| ( ( r @ v0 @ SV12 )
= $true )
| ( ( SV12 = v3 )
= $true )
| ( ( v0 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[213:[bind(SV11,$thf( v3 )),bind(SV13,$thf( v0 ))]]) ).
thf(255,plain,
! [SV13: $i] :
( ( ( r @ v3 @ v0 )
= $true )
| ( ( r @ SV13 @ v0 )
= $true )
| ( ( r @ SV13 @ v3 )
= $true )
| ( ( SV13 = v0 )
= $true )
| ( ( SV13 = v3 )
= $true ) ),
inference(extuni,[status(esa)],[212:[bind(SV12,$thf( v3 )),bind(SV11,$thf( v0 ))]]) ).
thf(256,plain,
! [SV13: $i] :
( ( ( r @ v0 @ v3 )
= $true )
| ( ( r @ SV13 @ v3 )
= $true )
| ( ( r @ SV13 @ v0 )
= $true )
| ( ( SV13 = v3 )
= $true )
| ( ( SV13 = v0 )
= $true ) ),
inference(extuni,[status(esa)],[212:[bind(SV11,$thf( v3 )),bind(SV12,$thf( v0 ))]]) ).
thf(257,plain,
! [SV11: $i] :
( ( ( r @ v1 @ SV11 )
= $true )
| ( ( r @ v3 @ SV11 )
= $true )
| ( ( r @ v3 @ v1 )
= $true )
| ( ( v1 = SV11 )
= $true )
| ( ( v3 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[208:[bind(SV13,$thf( v3 )),bind(SV12,$thf( v1 ))]]) ).
thf(258,plain,
! [SV11: $i] :
( ( ( r @ v3 @ SV11 )
= $true )
| ( ( r @ v1 @ SV11 )
= $true )
| ( ( r @ v1 @ v3 )
= $true )
| ( ( v3 = SV11 )
= $true )
| ( ( v1 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[208:[bind(SV12,$thf( v3 )),bind(SV13,$thf( v1 ))]]) ).
thf(259,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v1 )
= $true )
| ( ( r @ v3 @ v1 )
= $true )
| ( ( r @ v3 @ SV12 )
= $true )
| ( ( SV12 = v1 )
= $true )
| ( ( v3 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[207:[bind(SV13,$thf( v3 )),bind(SV11,$thf( v1 ))]]) ).
thf(260,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v3 )
= $true )
| ( ( r @ v1 @ v3 )
= $true )
| ( ( r @ v1 @ SV12 )
= $true )
| ( ( SV12 = v3 )
= $true )
| ( ( v1 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[207:[bind(SV11,$thf( v3 )),bind(SV13,$thf( v1 ))]]) ).
thf(261,plain,
! [SV13: $i] :
( ( ( r @ v3 @ v1 )
= $true )
| ( ( r @ SV13 @ v1 )
= $true )
| ( ( r @ SV13 @ v3 )
= $true )
| ( ( SV13 = v1 )
= $true )
| ( ( SV13 = v3 )
= $true ) ),
inference(extuni,[status(esa)],[206:[bind(SV12,$thf( v3 )),bind(SV11,$thf( v1 ))]]) ).
thf(262,plain,
! [SV13: $i] :
( ( ( r @ v1 @ v3 )
= $true )
| ( ( r @ SV13 @ v3 )
= $true )
| ( ( r @ SV13 @ v1 )
= $true )
| ( ( SV13 = v3 )
= $true )
| ( ( SV13 = v1 )
= $true ) ),
inference(extuni,[status(esa)],[206:[bind(SV11,$thf( v3 )),bind(SV12,$thf( v1 ))]]) ).
thf(263,plain,
! [SV11: $i] :
( ( ( r @ v2 @ SV11 )
= $true )
| ( ( r @ v3 @ SV11 )
= $true )
| ( ( r @ v3 @ v2 )
= $true )
| ( ( v2 = SV11 )
= $true )
| ( ( v3 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[202:[bind(SV13,$thf( v3 )),bind(SV12,$thf( v2 ))]]) ).
thf(264,plain,
! [SV11: $i] :
( ( ( r @ v3 @ SV11 )
= $true )
| ( ( r @ v2 @ SV11 )
= $true )
| ( ( r @ v2 @ v3 )
= $true )
| ( ( v3 = SV11 )
= $true )
| ( ( v2 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[202:[bind(SV12,$thf( v3 )),bind(SV13,$thf( v2 ))]]) ).
thf(265,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v2 )
= $true )
| ( ( r @ v3 @ v2 )
= $true )
| ( ( r @ v3 @ SV12 )
= $true )
| ( ( SV12 = v2 )
= $true )
| ( ( v3 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[201:[bind(SV13,$thf( v3 )),bind(SV11,$thf( v2 ))]]) ).
thf(266,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v3 )
= $true )
| ( ( r @ v2 @ v3 )
= $true )
| ( ( r @ v2 @ SV12 )
= $true )
| ( ( SV12 = v3 )
= $true )
| ( ( v2 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[201:[bind(SV11,$thf( v3 )),bind(SV13,$thf( v2 ))]]) ).
thf(267,plain,
! [SV13: $i] :
( ( ( r @ v3 @ v2 )
= $true )
| ( ( r @ SV13 @ v2 )
= $true )
| ( ( r @ SV13 @ v3 )
= $true )
| ( ( SV13 = v2 )
= $true )
| ( ( SV13 = v3 )
= $true ) ),
inference(extuni,[status(esa)],[200:[bind(SV12,$thf( v3 )),bind(SV11,$thf( v2 ))]]) ).
thf(268,plain,
! [SV13: $i] :
( ( ( r @ v2 @ v3 )
= $true )
| ( ( r @ SV13 @ v3 )
= $true )
| ( ( r @ SV13 @ v2 )
= $true )
| ( ( SV13 = v3 )
= $true )
| ( ( SV13 = v2 )
= $true ) ),
inference(extuni,[status(esa)],[200:[bind(SV11,$thf( v3 )),bind(SV12,$thf( v2 ))]]) ).
thf(269,plain,
! [SV11: $i] :
( ( ( r @ v0 @ SV11 )
= $true )
| ( ( r @ v4 @ SV11 )
= $true )
| ( ( r @ v4 @ v0 )
= $true )
| ( ( v0 = SV11 )
= $true )
| ( ( v4 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[196:[bind(SV13,$thf( v4 )),bind(SV12,$thf( v0 ))]]) ).
thf(270,plain,
! [SV11: $i] :
( ( ( r @ v4 @ SV11 )
= $true )
| ( ( r @ v0 @ SV11 )
= $true )
| ( ( r @ v0 @ v4 )
= $true )
| ( ( v4 = SV11 )
= $true )
| ( ( v0 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[196:[bind(SV12,$thf( v4 )),bind(SV13,$thf( v0 ))]]) ).
thf(271,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v0 )
= $true )
| ( ( r @ v4 @ v0 )
= $true )
| ( ( r @ v4 @ SV12 )
= $true )
| ( ( SV12 = v0 )
= $true )
| ( ( v4 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[195:[bind(SV13,$thf( v4 )),bind(SV11,$thf( v0 ))]]) ).
thf(272,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v4 )
= $true )
| ( ( r @ v0 @ v4 )
= $true )
| ( ( r @ v0 @ SV12 )
= $true )
| ( ( SV12 = v4 )
= $true )
| ( ( v0 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[195:[bind(SV11,$thf( v4 )),bind(SV13,$thf( v0 ))]]) ).
thf(273,plain,
! [SV13: $i] :
( ( ( r @ v4 @ v0 )
= $true )
| ( ( r @ SV13 @ v0 )
= $true )
| ( ( r @ SV13 @ v4 )
= $true )
| ( ( SV13 = v0 )
= $true )
| ( ( SV13 = v4 )
= $true ) ),
inference(extuni,[status(esa)],[194:[bind(SV12,$thf( v4 )),bind(SV11,$thf( v0 ))]]) ).
thf(274,plain,
! [SV13: $i] :
( ( ( r @ v0 @ v4 )
= $true )
| ( ( r @ SV13 @ v4 )
= $true )
| ( ( r @ SV13 @ v0 )
= $true )
| ( ( SV13 = v4 )
= $true )
| ( ( SV13 = v0 )
= $true ) ),
inference(extuni,[status(esa)],[194:[bind(SV11,$thf( v4 )),bind(SV12,$thf( v0 ))]]) ).
thf(275,plain,
! [SV11: $i] :
( ( ( r @ v1 @ SV11 )
= $true )
| ( ( r @ v4 @ SV11 )
= $true )
| ( ( r @ v4 @ v1 )
= $true )
| ( ( v1 = SV11 )
= $true )
| ( ( v4 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[190:[bind(SV13,$thf( v4 )),bind(SV12,$thf( v1 ))]]) ).
thf(276,plain,
! [SV11: $i] :
( ( ( r @ v4 @ SV11 )
= $true )
| ( ( r @ v1 @ SV11 )
= $true )
| ( ( r @ v1 @ v4 )
= $true )
| ( ( v4 = SV11 )
= $true )
| ( ( v1 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[190:[bind(SV12,$thf( v4 )),bind(SV13,$thf( v1 ))]]) ).
thf(277,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v1 )
= $true )
| ( ( r @ v4 @ v1 )
= $true )
| ( ( r @ v4 @ SV12 )
= $true )
| ( ( SV12 = v1 )
= $true )
| ( ( v4 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[189:[bind(SV13,$thf( v4 )),bind(SV11,$thf( v1 ))]]) ).
thf(278,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v4 )
= $true )
| ( ( r @ v1 @ v4 )
= $true )
| ( ( r @ v1 @ SV12 )
= $true )
| ( ( SV12 = v4 )
= $true )
| ( ( v1 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[189:[bind(SV11,$thf( v4 )),bind(SV13,$thf( v1 ))]]) ).
thf(279,plain,
! [SV13: $i] :
( ( ( r @ v4 @ v1 )
= $true )
| ( ( r @ SV13 @ v1 )
= $true )
| ( ( r @ SV13 @ v4 )
= $true )
| ( ( SV13 = v1 )
= $true )
| ( ( SV13 = v4 )
= $true ) ),
inference(extuni,[status(esa)],[188:[bind(SV12,$thf( v4 )),bind(SV11,$thf( v1 ))]]) ).
thf(280,plain,
! [SV13: $i] :
( ( ( r @ v1 @ v4 )
= $true )
| ( ( r @ SV13 @ v4 )
= $true )
| ( ( r @ SV13 @ v1 )
= $true )
| ( ( SV13 = v4 )
= $true )
| ( ( SV13 = v1 )
= $true ) ),
inference(extuni,[status(esa)],[188:[bind(SV11,$thf( v4 )),bind(SV12,$thf( v1 ))]]) ).
thf(281,plain,
! [SV11: $i] :
( ( ( r @ v2 @ SV11 )
= $true )
| ( ( r @ v4 @ SV11 )
= $true )
| ( ( r @ v4 @ v2 )
= $true )
| ( ( v2 = SV11 )
= $true )
| ( ( v4 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[184:[bind(SV13,$thf( v4 )),bind(SV12,$thf( v2 ))]]) ).
thf(282,plain,
! [SV11: $i] :
( ( ( r @ v4 @ SV11 )
= $true )
| ( ( r @ v2 @ SV11 )
= $true )
| ( ( r @ v2 @ v4 )
= $true )
| ( ( v4 = SV11 )
= $true )
| ( ( v2 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[184:[bind(SV12,$thf( v4 )),bind(SV13,$thf( v2 ))]]) ).
thf(283,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v2 )
= $true )
| ( ( r @ v4 @ v2 )
= $true )
| ( ( r @ v4 @ SV12 )
= $true )
| ( ( SV12 = v2 )
= $true )
| ( ( v4 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[183:[bind(SV13,$thf( v4 )),bind(SV11,$thf( v2 ))]]) ).
thf(284,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v4 )
= $true )
| ( ( r @ v2 @ v4 )
= $true )
| ( ( r @ v2 @ SV12 )
= $true )
| ( ( SV12 = v4 )
= $true )
| ( ( v2 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[183:[bind(SV11,$thf( v4 )),bind(SV13,$thf( v2 ))]]) ).
thf(285,plain,
! [SV13: $i] :
( ( ( r @ v4 @ v2 )
= $true )
| ( ( r @ SV13 @ v2 )
= $true )
| ( ( r @ SV13 @ v4 )
= $true )
| ( ( SV13 = v2 )
= $true )
| ( ( SV13 = v4 )
= $true ) ),
inference(extuni,[status(esa)],[182:[bind(SV12,$thf( v4 )),bind(SV11,$thf( v2 ))]]) ).
thf(286,plain,
! [SV13: $i] :
( ( ( r @ v2 @ v4 )
= $true )
| ( ( r @ SV13 @ v4 )
= $true )
| ( ( r @ SV13 @ v2 )
= $true )
| ( ( SV13 = v4 )
= $true )
| ( ( SV13 = v2 )
= $true ) ),
inference(extuni,[status(esa)],[182:[bind(SV11,$thf( v4 )),bind(SV12,$thf( v2 ))]]) ).
thf(287,plain,
! [SV11: $i] :
( ( ( r @ v3 @ SV11 )
= $true )
| ( ( r @ v4 @ SV11 )
= $true )
| ( ( r @ v4 @ v3 )
= $true )
| ( ( v3 = SV11 )
= $true )
| ( ( v4 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[178:[bind(SV13,$thf( v4 )),bind(SV12,$thf( v3 ))]]) ).
thf(288,plain,
! [SV11: $i] :
( ( ( r @ v4 @ SV11 )
= $true )
| ( ( r @ v3 @ SV11 )
= $true )
| ( ( r @ v3 @ v4 )
= $true )
| ( ( v4 = SV11 )
= $true )
| ( ( v3 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[178:[bind(SV12,$thf( v4 )),bind(SV13,$thf( v3 ))]]) ).
thf(289,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v3 )
= $true )
| ( ( r @ v4 @ v3 )
= $true )
| ( ( r @ v4 @ SV12 )
= $true )
| ( ( SV12 = v3 )
= $true )
| ( ( v4 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[177:[bind(SV13,$thf( v4 )),bind(SV11,$thf( v3 ))]]) ).
thf(290,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v4 )
= $true )
| ( ( r @ v3 @ v4 )
= $true )
| ( ( r @ v3 @ SV12 )
= $true )
| ( ( SV12 = v4 )
= $true )
| ( ( v3 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[177:[bind(SV11,$thf( v4 )),bind(SV13,$thf( v3 ))]]) ).
thf(291,plain,
! [SV13: $i] :
( ( ( r @ v4 @ v3 )
= $true )
| ( ( r @ SV13 @ v3 )
= $true )
| ( ( r @ SV13 @ v4 )
= $true )
| ( ( SV13 = v3 )
= $true )
| ( ( SV13 = v4 )
= $true ) ),
inference(extuni,[status(esa)],[176:[bind(SV12,$thf( v4 )),bind(SV11,$thf( v3 ))]]) ).
thf(292,plain,
! [SV13: $i] :
( ( ( r @ v3 @ v4 )
= $true )
| ( ( r @ SV13 @ v4 )
= $true )
| ( ( r @ SV13 @ v3 )
= $true )
| ( ( SV13 = v4 )
= $true )
| ( ( SV13 = v3 )
= $true ) ),
inference(extuni,[status(esa)],[176:[bind(SV11,$thf( v4 )),bind(SV12,$thf( v3 ))]]) ).
thf(293,plain,
! [SV11: $i] :
( ( ( r @ v0 @ SV11 )
= $true )
| ( ( r @ v5 @ SV11 )
= $true )
| ( ( r @ v5 @ v0 )
= $true )
| ( ( v0 = SV11 )
= $true )
| ( ( v5 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[172:[bind(SV13,$thf( v5 )),bind(SV12,$thf( v0 ))]]) ).
thf(294,plain,
! [SV11: $i] :
( ( ( r @ v5 @ SV11 )
= $true )
| ( ( r @ v0 @ SV11 )
= $true )
| ( ( r @ v0 @ v5 )
= $true )
| ( ( v5 = SV11 )
= $true )
| ( ( v0 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[172:[bind(SV12,$thf( v5 )),bind(SV13,$thf( v0 ))]]) ).
thf(295,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v0 )
= $true )
| ( ( r @ v5 @ v0 )
= $true )
| ( ( r @ v5 @ SV12 )
= $true )
| ( ( SV12 = v0 )
= $true )
| ( ( v5 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[171:[bind(SV13,$thf( v5 )),bind(SV11,$thf( v0 ))]]) ).
thf(296,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v5 )
= $true )
| ( ( r @ v0 @ v5 )
= $true )
| ( ( r @ v0 @ SV12 )
= $true )
| ( ( SV12 = v5 )
= $true )
| ( ( v0 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[171:[bind(SV11,$thf( v5 )),bind(SV13,$thf( v0 ))]]) ).
thf(297,plain,
! [SV13: $i] :
( ( ( r @ v5 @ v0 )
= $true )
| ( ( r @ SV13 @ v0 )
= $true )
| ( ( r @ SV13 @ v5 )
= $true )
| ( ( SV13 = v0 )
= $true )
| ( ( SV13 = v5 )
= $true ) ),
inference(extuni,[status(esa)],[170:[bind(SV12,$thf( v5 )),bind(SV11,$thf( v0 ))]]) ).
thf(298,plain,
! [SV13: $i] :
( ( ( r @ v0 @ v5 )
= $true )
| ( ( r @ SV13 @ v5 )
= $true )
| ( ( r @ SV13 @ v0 )
= $true )
| ( ( SV13 = v5 )
= $true )
| ( ( SV13 = v0 )
= $true ) ),
inference(extuni,[status(esa)],[170:[bind(SV11,$thf( v5 )),bind(SV12,$thf( v0 ))]]) ).
thf(299,plain,
! [SV11: $i] :
( ( ( r @ v1 @ SV11 )
= $true )
| ( ( r @ v5 @ SV11 )
= $true )
| ( ( r @ v5 @ v1 )
= $true )
| ( ( v1 = SV11 )
= $true )
| ( ( v5 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[166:[bind(SV13,$thf( v5 )),bind(SV12,$thf( v1 ))]]) ).
thf(300,plain,
! [SV11: $i] :
( ( ( r @ v5 @ SV11 )
= $true )
| ( ( r @ v1 @ SV11 )
= $true )
| ( ( r @ v1 @ v5 )
= $true )
| ( ( v5 = SV11 )
= $true )
| ( ( v1 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[166:[bind(SV12,$thf( v5 )),bind(SV13,$thf( v1 ))]]) ).
thf(301,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v1 )
= $true )
| ( ( r @ v5 @ v1 )
= $true )
| ( ( r @ v5 @ SV12 )
= $true )
| ( ( SV12 = v1 )
= $true )
| ( ( v5 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[165:[bind(SV13,$thf( v5 )),bind(SV11,$thf( v1 ))]]) ).
thf(302,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v5 )
= $true )
| ( ( r @ v1 @ v5 )
= $true )
| ( ( r @ v1 @ SV12 )
= $true )
| ( ( SV12 = v5 )
= $true )
| ( ( v1 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[165:[bind(SV11,$thf( v5 )),bind(SV13,$thf( v1 ))]]) ).
thf(303,plain,
! [SV13: $i] :
( ( ( r @ v5 @ v1 )
= $true )
| ( ( r @ SV13 @ v1 )
= $true )
| ( ( r @ SV13 @ v5 )
= $true )
| ( ( SV13 = v1 )
= $true )
| ( ( SV13 = v5 )
= $true ) ),
inference(extuni,[status(esa)],[164:[bind(SV12,$thf( v5 )),bind(SV11,$thf( v1 ))]]) ).
thf(304,plain,
! [SV13: $i] :
( ( ( r @ v1 @ v5 )
= $true )
| ( ( r @ SV13 @ v5 )
= $true )
| ( ( r @ SV13 @ v1 )
= $true )
| ( ( SV13 = v5 )
= $true )
| ( ( SV13 = v1 )
= $true ) ),
inference(extuni,[status(esa)],[164:[bind(SV11,$thf( v5 )),bind(SV12,$thf( v1 ))]]) ).
thf(305,plain,
! [SV11: $i] :
( ( ( r @ v2 @ SV11 )
= $true )
| ( ( r @ v5 @ SV11 )
= $true )
| ( ( r @ v5 @ v2 )
= $true )
| ( ( v2 = SV11 )
= $true )
| ( ( v5 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[160:[bind(SV13,$thf( v5 )),bind(SV12,$thf( v2 ))]]) ).
thf(306,plain,
! [SV11: $i] :
( ( ( r @ v5 @ SV11 )
= $true )
| ( ( r @ v2 @ SV11 )
= $true )
| ( ( r @ v2 @ v5 )
= $true )
| ( ( v5 = SV11 )
= $true )
| ( ( v2 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[160:[bind(SV12,$thf( v5 )),bind(SV13,$thf( v2 ))]]) ).
thf(307,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v2 )
= $true )
| ( ( r @ v5 @ v2 )
= $true )
| ( ( r @ v5 @ SV12 )
= $true )
| ( ( SV12 = v2 )
= $true )
| ( ( v5 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[159:[bind(SV13,$thf( v5 )),bind(SV11,$thf( v2 ))]]) ).
thf(308,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v5 )
= $true )
| ( ( r @ v2 @ v5 )
= $true )
| ( ( r @ v2 @ SV12 )
= $true )
| ( ( SV12 = v5 )
= $true )
| ( ( v2 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[159:[bind(SV11,$thf( v5 )),bind(SV13,$thf( v2 ))]]) ).
thf(309,plain,
! [SV13: $i] :
( ( ( r @ v5 @ v2 )
= $true )
| ( ( r @ SV13 @ v2 )
= $true )
| ( ( r @ SV13 @ v5 )
= $true )
| ( ( SV13 = v2 )
= $true )
| ( ( SV13 = v5 )
= $true ) ),
inference(extuni,[status(esa)],[158:[bind(SV12,$thf( v5 )),bind(SV11,$thf( v2 ))]]) ).
thf(310,plain,
! [SV13: $i] :
( ( ( r @ v2 @ v5 )
= $true )
| ( ( r @ SV13 @ v5 )
= $true )
| ( ( r @ SV13 @ v2 )
= $true )
| ( ( SV13 = v5 )
= $true )
| ( ( SV13 = v2 )
= $true ) ),
inference(extuni,[status(esa)],[158:[bind(SV11,$thf( v5 )),bind(SV12,$thf( v2 ))]]) ).
thf(311,plain,
! [SV11: $i] :
( ( ( r @ v3 @ SV11 )
= $true )
| ( ( r @ v5 @ SV11 )
= $true )
| ( ( r @ v5 @ v3 )
= $true )
| ( ( v3 = SV11 )
= $true )
| ( ( v5 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[154:[bind(SV13,$thf( v5 )),bind(SV12,$thf( v3 ))]]) ).
thf(312,plain,
! [SV11: $i] :
( ( ( r @ v5 @ SV11 )
= $true )
| ( ( r @ v3 @ SV11 )
= $true )
| ( ( r @ v3 @ v5 )
= $true )
| ( ( v5 = SV11 )
= $true )
| ( ( v3 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[154:[bind(SV12,$thf( v5 )),bind(SV13,$thf( v3 ))]]) ).
thf(313,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v3 )
= $true )
| ( ( r @ v5 @ v3 )
= $true )
| ( ( r @ v5 @ SV12 )
= $true )
| ( ( SV12 = v3 )
= $true )
| ( ( v5 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[153:[bind(SV13,$thf( v5 )),bind(SV11,$thf( v3 ))]]) ).
thf(314,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v5 )
= $true )
| ( ( r @ v3 @ v5 )
= $true )
| ( ( r @ v3 @ SV12 )
= $true )
| ( ( SV12 = v5 )
= $true )
| ( ( v3 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[153:[bind(SV11,$thf( v5 )),bind(SV13,$thf( v3 ))]]) ).
thf(315,plain,
! [SV13: $i] :
( ( ( r @ v5 @ v3 )
= $true )
| ( ( r @ SV13 @ v3 )
= $true )
| ( ( r @ SV13 @ v5 )
= $true )
| ( ( SV13 = v3 )
= $true )
| ( ( SV13 = v5 )
= $true ) ),
inference(extuni,[status(esa)],[152:[bind(SV12,$thf( v5 )),bind(SV11,$thf( v3 ))]]) ).
thf(316,plain,
! [SV13: $i] :
( ( ( r @ v3 @ v5 )
= $true )
| ( ( r @ SV13 @ v5 )
= $true )
| ( ( r @ SV13 @ v3 )
= $true )
| ( ( SV13 = v5 )
= $true )
| ( ( SV13 = v3 )
= $true ) ),
inference(extuni,[status(esa)],[152:[bind(SV11,$thf( v5 )),bind(SV12,$thf( v3 ))]]) ).
thf(317,plain,
! [SV11: $i] :
( ( ( r @ v4 @ SV11 )
= $true )
| ( ( r @ v5 @ SV11 )
= $true )
| ( ( r @ v5 @ v4 )
= $true )
| ( ( v4 = SV11 )
= $true )
| ( ( v5 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[148:[bind(SV13,$thf( v5 )),bind(SV12,$thf( v4 ))]]) ).
thf(318,plain,
! [SV11: $i] :
( ( ( r @ v5 @ SV11 )
= $true )
| ( ( r @ v4 @ SV11 )
= $true )
| ( ( r @ v4 @ v5 )
= $true )
| ( ( v5 = SV11 )
= $true )
| ( ( v4 = SV11 )
= $true ) ),
inference(extuni,[status(esa)],[148:[bind(SV12,$thf( v5 )),bind(SV13,$thf( v4 ))]]) ).
thf(319,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v4 )
= $true )
| ( ( r @ v5 @ v4 )
= $true )
| ( ( r @ v5 @ SV12 )
= $true )
| ( ( SV12 = v4 )
= $true )
| ( ( v5 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[147:[bind(SV13,$thf( v5 )),bind(SV11,$thf( v4 ))]]) ).
thf(320,plain,
! [SV12: $i] :
( ( ( r @ SV12 @ v5 )
= $true )
| ( ( r @ v4 @ v5 )
= $true )
| ( ( r @ v4 @ SV12 )
= $true )
| ( ( SV12 = v5 )
= $true )
| ( ( v4 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[147:[bind(SV11,$thf( v5 )),bind(SV13,$thf( v4 ))]]) ).
thf(321,plain,
! [SV13: $i] :
( ( ( r @ v5 @ v4 )
= $true )
| ( ( r @ SV13 @ v4 )
= $true )
| ( ( r @ SV13 @ v5 )
= $true )
| ( ( SV13 = v4 )
= $true )
| ( ( SV13 = v5 )
= $true ) ),
inference(extuni,[status(esa)],[146:[bind(SV12,$thf( v5 )),bind(SV11,$thf( v4 ))]]) ).
thf(322,plain,
! [SV13: $i] :
( ( ( r @ v4 @ v5 )
= $true )
| ( ( r @ SV13 @ v5 )
= $true )
| ( ( r @ SV13 @ v4 )
= $true )
| ( ( SV13 = v5 )
= $true )
| ( ( SV13 = v4 )
= $true ) ),
inference(extuni,[status(esa)],[146:[bind(SV11,$thf( v5 )),bind(SV12,$thf( v4 ))]]) ).
thf(323,plain,
! [SV11: $i,SV10: $i,SV9: $i] :
( ( ( r @ SV9 @ SV10 )
= $true )
| ( ( r @ SV9 @ SV11 )
= $true )
| ( ( r @ SV10 @ SV11 )
= $true )
| ( ( SV9 = SV11 )
= $true )
| ( ( SV10 = SV11 )
= $true )
| ( ( SV10 = SV9 )
= $true ) ),
inference(extuni,[status(esa)],[139:[bind(SV12,$thf( SV9 )),bind(SV13,$thf( SV10 ))]]) ).
thf(324,plain,
! [SV12: $i,SV10: $i,SV9: $i] :
( ( ( r @ SV9 @ SV10 )
= $true )
| ( ( r @ SV12 @ SV9 )
= $true )
| ( ( r @ SV10 @ SV12 )
= $true )
| ( ( SV12 = SV9 )
= $true )
| ( ( SV10 = SV9 )
= $true )
| ( ( SV10 = SV12 )
= $true ) ),
inference(extuni,[status(esa)],[138:[bind(SV11,$thf( SV9 )),bind(SV13,$thf( SV10 ))]]) ).
thf(325,plain,
! [SV13: $i,SV10: $i,SV9: $i] :
( ( ( r @ SV9 @ SV10 )
= $true )
| ( ( r @ SV13 @ SV9 )
= $true )
| ( ( r @ SV13 @ SV10 )
= $true )
| ( ( SV10 = SV9 )
= $true )
| ( ( SV13 = SV9 )
= $true )
| ( ( SV13 = SV10 )
= $true ) ),
inference(extuni,[status(esa)],[137:[bind(SV11,$thf( SV9 )),bind(SV12,$thf( SV10 ))]]) ).
thf(326,plain,
! [SV14: $i] :
( ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(rename,[status(thm)],[233]) ).
thf(329,plain,
! [SV14: $i,SV9: $i,SV10: $i] :
( ( ( ( r @ v1 @ v0 )
= ( r @ SV10 @ SV9 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( v0 = SV14 )
= $true )
| ( ( v1 = SV14 )
= $true )
| ( ( r @ SV9 @ SV10 )
= $true ) ),
inference(res,[status(thm)],[326,116]) ).
thf(330,plain,
! [SV14: $i,SV9: $i,SV10: $i] :
( ( ( ( r @ v1 @ SV14 )
= ( r @ SV10 @ SV9 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true )
| ( ( v1 = SV14 )
= $true )
| ( ( r @ SV9 @ SV10 )
= $true ) ),
inference(res,[status(thm)],[326,116]) ).
thf(331,plain,
! [SV14: $i,SV9: $i,SV10: $i] :
( ( ( ( r @ v0 @ SV14 )
= ( r @ SV10 @ SV9 ) )
= $false )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true )
| ( ( v1 = SV14 )
= $true )
| ( ( r @ SV9 @ SV10 )
= $true ) ),
inference(res,[status(thm)],[326,116]) ).
thf(332,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v4 = v5 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,94]) ).
thf(333,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v4 = v5 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,94]) ).
thf(337,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v3 = v5 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,93]) ).
thf(338,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v3 = v5 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,93]) ).
thf(342,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v2 = v5 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,92]) ).
thf(343,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v2 = v5 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,92]) ).
thf(347,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v1 = v5 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,91]) ).
thf(348,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v1 = v5 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,91]) ).
thf(352,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v0 = v5 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,90]) ).
thf(353,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v0 = v5 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,90]) ).
thf(357,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v3 = v4 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,89]) ).
thf(358,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v3 = v4 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,89]) ).
thf(362,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v2 = v4 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,88]) ).
thf(363,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v2 = v4 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,88]) ).
thf(367,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v1 = v4 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,87]) ).
thf(368,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v1 = v4 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,87]) ).
thf(372,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v0 = v4 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,86]) ).
thf(373,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v0 = v4 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,86]) ).
thf(377,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v2 = v3 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,85]) ).
thf(378,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v2 = v3 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,85]) ).
thf(382,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v1 = v3 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,84]) ).
thf(383,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v1 = v3 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,84]) ).
thf(387,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v0 = v3 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,83]) ).
thf(388,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v0 = v3 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,83]) ).
thf(392,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v1 = v2 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,82]) ).
thf(393,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v1 = v2 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,82]) ).
thf(397,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v0 = v2 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,81]) ).
thf(398,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v0 = v2 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,81]) ).
thf(402,plain,
! [SV14: $i] :
( ( ( ( v1 = SV14 )
= ( v0 = v1 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v0 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,80]) ).
thf(403,plain,
! [SV14: $i] :
( ( ( ( v0 = SV14 )
= ( v0 = v1 ) )
= $false )
| ( ( r @ v0 @ SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = SV14 )
= $true ) ),
inference(res,[status(thm)],[326,80]) ).
thf(407,plain,
( ( ( v1 = v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v0 @ v0 )
= $true )
| ( ( v0 = v1 )
= $false ) ),
inference(extuni,[status(esa)],[403:[bind(SV14,$thf( v0 ))]]) ).
thf(410,plain,
( ( ( v0 = v1 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v1 )
= $true )
| ( ( r @ v0 @ v1 )
= $true )
| ( ( v1 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[402:[bind(SV14,$thf( v1 ))]]) ).
thf(411,plain,
( ( ( v1 = v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v0 @ v0 )
= $true )
| ( ( v0 = v2 )
= $false ) ),
inference(extuni,[status(esa)],[398:[bind(SV14,$thf( v0 ))]]) ).
thf(412,plain,
( ( ( v1 = v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(extuni,[status(esa)],[398:[bind(SV14,$thf( v2 ))]]) ).
thf(414,plain,
( ( ( v0 = v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( v1 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[397:[bind(SV14,$thf( v2 ))]]) ).
thf(416,plain,
( ( ( v1 = v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( v0 = v1 )
= $false ) ),
inference(extuni,[status(esa)],[393:[bind(SV14,$thf( v2 ))]]) ).
thf(417,plain,
( ( ( v0 = v1 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v1 )
= $true )
| ( ( r @ v0 @ v1 )
= $true )
| ( ( v1 = v2 )
= $false ) ),
inference(extuni,[status(esa)],[392:[bind(SV14,$thf( v1 ))]]) ).
thf(418,plain,
( ( ( v0 = v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(extuni,[status(esa)],[392:[bind(SV14,$thf( v2 ))]]) ).
thf(419,plain,
( ( ( v1 = v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v0 @ v0 )
= $true )
| ( ( v0 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[388:[bind(SV14,$thf( v0 ))]]) ).
thf(420,plain,
( ( ( v1 = v3 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v3 )
= $true )
| ( ( r @ v0 @ v3 )
= $true ) ),
inference(extuni,[status(esa)],[388:[bind(SV14,$thf( v3 ))]]) ).
thf(422,plain,
( ( ( v0 = v3 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v3 )
= $true )
| ( ( r @ v0 @ v3 )
= $true )
| ( ( v1 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[387:[bind(SV14,$thf( v3 ))]]) ).
thf(424,plain,
( ( ( v1 = v3 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v3 )
= $true )
| ( ( r @ v0 @ v3 )
= $true )
| ( ( v0 = v1 )
= $false ) ),
inference(extuni,[status(esa)],[383:[bind(SV14,$thf( v3 ))]]) ).
thf(425,plain,
( ( ( v0 = v1 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v1 )
= $true )
| ( ( r @ v0 @ v1 )
= $true )
| ( ( v1 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[382:[bind(SV14,$thf( v1 ))]]) ).
thf(426,plain,
( ( ( v0 = v3 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v3 )
= $true )
| ( ( r @ v0 @ v3 )
= $true ) ),
inference(extuni,[status(esa)],[382:[bind(SV14,$thf( v3 ))]]) ).
thf(427,plain,
( ( ( v1 = v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( v0 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[378:[bind(SV14,$thf( v2 ))]]) ).
thf(428,plain,
( ( ( v1 = v3 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v3 )
= $true )
| ( ( r @ v0 @ v3 )
= $true )
| ( ( v0 = v2 )
= $false ) ),
inference(extuni,[status(esa)],[378:[bind(SV14,$thf( v3 ))]]) ).
thf(429,plain,
( ( ( v0 = v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( v1 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[377:[bind(SV14,$thf( v2 ))]]) ).
thf(430,plain,
( ( ( v0 = v3 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v3 )
= $true )
| ( ( r @ v0 @ v3 )
= $true )
| ( ( v1 = v2 )
= $false ) ),
inference(extuni,[status(esa)],[377:[bind(SV14,$thf( v3 ))]]) ).
thf(431,plain,
( ( ( v1 = v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v0 @ v0 )
= $true )
| ( ( v0 = v4 )
= $false ) ),
inference(extuni,[status(esa)],[373:[bind(SV14,$thf( v0 ))]]) ).
thf(432,plain,
( ( ( v1 = v4 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v4 )
= $true )
| ( ( r @ v0 @ v4 )
= $true ) ),
inference(extuni,[status(esa)],[373:[bind(SV14,$thf( v4 ))]]) ).
thf(434,plain,
( ( ( v0 = v4 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v4 )
= $true )
| ( ( r @ v0 @ v4 )
= $true )
| ( ( v1 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[372:[bind(SV14,$thf( v4 ))]]) ).
thf(436,plain,
( ( ( v1 = v4 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v4 )
= $true )
| ( ( r @ v0 @ v4 )
= $true )
| ( ( v0 = v1 )
= $false ) ),
inference(extuni,[status(esa)],[368:[bind(SV14,$thf( v4 ))]]) ).
thf(437,plain,
( ( ( v0 = v1 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v1 )
= $true )
| ( ( r @ v0 @ v1 )
= $true )
| ( ( v1 = v4 )
= $false ) ),
inference(extuni,[status(esa)],[367:[bind(SV14,$thf( v1 ))]]) ).
thf(438,plain,
( ( ( v0 = v4 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v4 )
= $true )
| ( ( r @ v0 @ v4 )
= $true ) ),
inference(extuni,[status(esa)],[367:[bind(SV14,$thf( v4 ))]]) ).
thf(439,plain,
( ( ( v1 = v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( v0 = v4 )
= $false ) ),
inference(extuni,[status(esa)],[363:[bind(SV14,$thf( v2 ))]]) ).
thf(440,plain,
( ( ( v1 = v4 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v4 )
= $true )
| ( ( r @ v0 @ v4 )
= $true )
| ( ( v0 = v2 )
= $false ) ),
inference(extuni,[status(esa)],[363:[bind(SV14,$thf( v4 ))]]) ).
thf(441,plain,
( ( ( v0 = v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( v1 = v4 )
= $false ) ),
inference(extuni,[status(esa)],[362:[bind(SV14,$thf( v2 ))]]) ).
thf(442,plain,
( ( ( v0 = v4 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v4 )
= $true )
| ( ( r @ v0 @ v4 )
= $true )
| ( ( v1 = v2 )
= $false ) ),
inference(extuni,[status(esa)],[362:[bind(SV14,$thf( v4 ))]]) ).
thf(443,plain,
( ( ( v1 = v3 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v3 )
= $true )
| ( ( r @ v0 @ v3 )
= $true )
| ( ( v0 = v4 )
= $false ) ),
inference(extuni,[status(esa)],[358:[bind(SV14,$thf( v3 ))]]) ).
thf(444,plain,
( ( ( v1 = v4 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v4 )
= $true )
| ( ( r @ v0 @ v4 )
= $true )
| ( ( v0 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[358:[bind(SV14,$thf( v4 ))]]) ).
thf(445,plain,
( ( ( v0 = v3 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v3 )
= $true )
| ( ( r @ v0 @ v3 )
= $true )
| ( ( v1 = v4 )
= $false ) ),
inference(extuni,[status(esa)],[357:[bind(SV14,$thf( v3 ))]]) ).
thf(446,plain,
( ( ( v0 = v4 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v4 )
= $true )
| ( ( r @ v0 @ v4 )
= $true )
| ( ( v1 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[357:[bind(SV14,$thf( v4 ))]]) ).
thf(447,plain,
( ( ( v1 = v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v0 @ v0 )
= $true )
| ( ( v0 = v5 )
= $false ) ),
inference(extuni,[status(esa)],[353:[bind(SV14,$thf( v0 ))]]) ).
thf(448,plain,
( ( ( v1 = v5 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v5 )
= $true )
| ( ( r @ v0 @ v5 )
= $true ) ),
inference(extuni,[status(esa)],[353:[bind(SV14,$thf( v5 ))]]) ).
thf(450,plain,
( ( ( v0 = v5 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v5 )
= $true )
| ( ( r @ v0 @ v5 )
= $true )
| ( ( v1 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[352:[bind(SV14,$thf( v5 ))]]) ).
thf(452,plain,
( ( ( v1 = v5 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v5 )
= $true )
| ( ( r @ v0 @ v5 )
= $true )
| ( ( v0 = v1 )
= $false ) ),
inference(extuni,[status(esa)],[348:[bind(SV14,$thf( v5 ))]]) ).
thf(453,plain,
( ( ( v0 = v1 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v1 )
= $true )
| ( ( r @ v0 @ v1 )
= $true )
| ( ( v1 = v5 )
= $false ) ),
inference(extuni,[status(esa)],[347:[bind(SV14,$thf( v1 ))]]) ).
thf(454,plain,
( ( ( v0 = v5 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v5 )
= $true )
| ( ( r @ v0 @ v5 )
= $true ) ),
inference(extuni,[status(esa)],[347:[bind(SV14,$thf( v5 ))]]) ).
thf(455,plain,
( ( ( v1 = v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( v0 = v5 )
= $false ) ),
inference(extuni,[status(esa)],[343:[bind(SV14,$thf( v2 ))]]) ).
thf(456,plain,
( ( ( v1 = v5 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v5 )
= $true )
| ( ( r @ v0 @ v5 )
= $true )
| ( ( v0 = v2 )
= $false ) ),
inference(extuni,[status(esa)],[343:[bind(SV14,$thf( v5 ))]]) ).
thf(457,plain,
( ( ( v0 = v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( v1 = v5 )
= $false ) ),
inference(extuni,[status(esa)],[342:[bind(SV14,$thf( v2 ))]]) ).
thf(458,plain,
( ( ( v0 = v5 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v5 )
= $true )
| ( ( r @ v0 @ v5 )
= $true )
| ( ( v1 = v2 )
= $false ) ),
inference(extuni,[status(esa)],[342:[bind(SV14,$thf( v5 ))]]) ).
thf(459,plain,
( ( ( v1 = v3 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v3 )
= $true )
| ( ( r @ v0 @ v3 )
= $true )
| ( ( v0 = v5 )
= $false ) ),
inference(extuni,[status(esa)],[338:[bind(SV14,$thf( v3 ))]]) ).
thf(460,plain,
( ( ( v1 = v5 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v5 )
= $true )
| ( ( r @ v0 @ v5 )
= $true )
| ( ( v0 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[338:[bind(SV14,$thf( v5 ))]]) ).
thf(461,plain,
( ( ( v0 = v3 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v3 )
= $true )
| ( ( r @ v0 @ v3 )
= $true )
| ( ( v1 = v5 )
= $false ) ),
inference(extuni,[status(esa)],[337:[bind(SV14,$thf( v3 ))]]) ).
thf(462,plain,
( ( ( v0 = v5 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v5 )
= $true )
| ( ( r @ v0 @ v5 )
= $true )
| ( ( v1 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[337:[bind(SV14,$thf( v5 ))]]) ).
thf(463,plain,
( ( ( v1 = v4 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v4 )
= $true )
| ( ( r @ v0 @ v4 )
= $true )
| ( ( v0 = v5 )
= $false ) ),
inference(extuni,[status(esa)],[333:[bind(SV14,$thf( v4 ))]]) ).
thf(464,plain,
( ( ( v1 = v5 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v5 )
= $true )
| ( ( r @ v0 @ v5 )
= $true )
| ( ( v0 = v4 )
= $false ) ),
inference(extuni,[status(esa)],[333:[bind(SV14,$thf( v5 ))]]) ).
thf(465,plain,
( ( ( v0 = v4 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v4 )
= $true )
| ( ( r @ v0 @ v4 )
= $true )
| ( ( v1 = v5 )
= $false ) ),
inference(extuni,[status(esa)],[332:[bind(SV14,$thf( v4 ))]]) ).
thf(466,plain,
( ( ( v0 = v5 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v5 )
= $true )
| ( ( r @ v0 @ v5 )
= $true )
| ( ( v1 = v4 )
= $false ) ),
inference(extuni,[status(esa)],[332:[bind(SV14,$thf( v5 ))]]) ).
thf(467,plain,
! [SV9: $i] :
( ( ( r @ SV9 @ v0 )
= $true )
| ( ( v1 = SV9 )
= $true )
| ( ( v0 = SV9 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ SV9 )
= $true ) ),
inference(extuni,[status(esa)],[331:[bind(SV14,$thf( SV9 )),bind(SV10,$thf( v0 ))]]) ).
thf(468,plain,
! [SV9: $i] :
( ( ( r @ SV9 @ v1 )
= $true )
| ( ( v1 = SV9 )
= $true )
| ( ( v0 = SV9 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v0 @ SV9 )
= $true ) ),
inference(extuni,[status(esa)],[330:[bind(SV14,$thf( SV9 )),bind(SV10,$thf( v1 ))]]) ).
thf(469,plain,
! [SV14: $i] :
( ( ( r @ v0 @ v1 )
= $true )
| ( ( v1 = SV14 )
= $true )
| ( ( v0 = SV14 )
= $true )
| ( ( r @ v1 @ SV14 )
= $true )
| ( ( r @ v0 @ SV14 )
= $true ) ),
inference(extuni,[status(esa)],[329:[bind(SV9,$thf( v0 )),bind(SV10,$thf( v1 ))]]) ).
thf(470,plain,
( ( ( v1 = v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v0 @ v0 )
= $true )
| ( ( v0 = v1 )
= $false ) ),
inference(sim,[status(thm)],[407]) ).
thf(471,plain,
( ( ( v1 = v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v0 @ v0 )
= $true )
| ( ( v0 = v2 )
= $false ) ),
inference(sim,[status(thm)],[411]) ).
thf(472,plain,
( ( ( v1 = v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v0 @ v0 )
= $true )
| ( ( v0 = v3 )
= $false ) ),
inference(sim,[status(thm)],[419]) ).
thf(473,plain,
( ( ( v1 = v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v0 @ v0 )
= $true )
| ( ( v0 = v4 )
= $false ) ),
inference(sim,[status(thm)],[431]) ).
thf(474,plain,
( ( ( v1 = v0 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v0 @ v0 )
= $true )
| ( ( v0 = v5 )
= $false ) ),
inference(sim,[status(thm)],[447]) ).
thf(475,plain,
! [SV9: $i,SV10: $i] :
( ( ( ( r @ v0 @ v2 )
= ( r @ SV10 @ SV9 ) )
= $false )
| ( ( v1 = v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ SV9 @ SV10 )
= $true ) ),
inference(res,[status(thm)],[412,116]) ).
thf(476,plain,
! [SV9: $i,SV10: $i] :
( ( ( ( r @ v1 @ v2 )
= ( r @ SV10 @ SV9 ) )
= $false )
| ( ( v1 = v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ SV9 @ SV10 )
= $true ) ),
inference(res,[status(thm)],[412,116]) ).
thf(477,plain,
! [SV9: $i,SV10: $i] :
( ( ( ( r @ v1 @ v0 )
= ( r @ SV10 @ SV9 ) )
= $false )
| ( ( v1 = v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ SV9 @ SV10 )
= $true ) ),
inference(res,[status(thm)],[412,116]) ).
thf(482,plain,
( ( ( ( v1 = v2 )
= ( v4 = v5 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,94]) ).
thf(486,plain,
( ( ( ( v1 = v2 )
= ( v3 = v5 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,93]) ).
thf(490,plain,
( ( ( ( v1 = v2 )
= ( v2 = v5 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,92]) ).
thf(494,plain,
( ( ( ( v1 = v2 )
= ( v1 = v5 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,91]) ).
thf(498,plain,
( ( ( ( v1 = v2 )
= ( v0 = v5 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,90]) ).
thf(502,plain,
( ( ( ( v1 = v2 )
= ( v3 = v4 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,89]) ).
thf(506,plain,
( ( ( ( v1 = v2 )
= ( v2 = v4 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,88]) ).
thf(510,plain,
( ( ( ( v1 = v2 )
= ( v1 = v4 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,87]) ).
thf(514,plain,
( ( ( ( v1 = v2 )
= ( v0 = v4 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,86]) ).
thf(518,plain,
( ( ( ( v1 = v2 )
= ( v2 = v3 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,85]) ).
thf(522,plain,
( ( ( ( v1 = v2 )
= ( v1 = v3 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,84]) ).
thf(526,plain,
( ( ( ( v1 = v2 )
= ( v0 = v3 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,83]) ).
thf(530,plain,
( ( ( ( v1 = v2 )
= ( v1 = v2 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,82]) ).
thf(534,plain,
( ( ( ( v1 = v2 )
= ( v0 = v2 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,81]) ).
thf(538,plain,
( ( ( ( v1 = v2 )
= ( v0 = v1 ) )
= $false )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v0 @ v2 )
= $true ) ),
inference(res,[status(thm)],[412,80]) ).
thf(539,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[538]) ).
thf(540,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v1 )
= $false )
| ( ( v1 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[538]) ).
thf(541,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v2 )
= $false )
| ( ( v2 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[534]) ).
thf(542,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[534]) ).
thf(543,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true ) ),
inference(extuni,[status(esa)],[530]) ).
thf(544,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v3 )
= $false )
| ( ( v2 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[526]) ).
thf(545,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v3 )
= $false )
| ( ( v1 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[526]) ).
thf(546,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v3 )
= $false )
| ( ( v2 = v1 )
= $false ) ),
inference(extuni,[status(esa)],[522]) ).
thf(547,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[522]) ).
thf(548,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[518]) ).
thf(549,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v3 )
= $false )
| ( ( v1 = v2 )
= $false ) ),
inference(extuni,[status(esa)],[518]) ).
thf(550,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v4 )
= $false )
| ( ( v2 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[514]) ).
thf(551,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v4 )
= $false )
| ( ( v1 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[514]) ).
thf(552,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v4 )
= $false )
| ( ( v2 = v1 )
= $false ) ),
inference(extuni,[status(esa)],[510]) ).
thf(553,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v4 )
= $false ) ),
inference(extuni,[status(esa)],[510]) ).
thf(554,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v4 )
= $false ) ),
inference(extuni,[status(esa)],[506]) ).
thf(555,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v4 )
= $false )
| ( ( v1 = v2 )
= $false ) ),
inference(extuni,[status(esa)],[506]) ).
thf(556,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v4 )
= $false )
| ( ( v2 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[502]) ).
thf(557,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v4 )
= $false )
| ( ( v1 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[502]) ).
thf(558,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v5 )
= $false )
| ( ( v2 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[498]) ).
thf(559,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v5 )
= $false )
| ( ( v1 = v0 )
= $false ) ),
inference(extuni,[status(esa)],[498]) ).
thf(560,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v5 )
= $false )
| ( ( v2 = v1 )
= $false ) ),
inference(extuni,[status(esa)],[494]) ).
thf(561,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v5 )
= $false ) ),
inference(extuni,[status(esa)],[494]) ).
thf(562,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v5 )
= $false ) ),
inference(extuni,[status(esa)],[490]) ).
thf(563,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v5 )
= $false )
| ( ( v1 = v2 )
= $false ) ),
inference(extuni,[status(esa)],[490]) ).
thf(564,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v5 )
= $false )
| ( ( v2 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[486]) ).
thf(565,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v5 )
= $false )
| ( ( v1 = v3 )
= $false ) ),
inference(extuni,[status(esa)],[486]) ).
thf(566,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v5 )
= $false )
| ( ( v2 = v4 )
= $false ) ),
inference(extuni,[status(esa)],[482]) ).
thf(567,plain,
( ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v2 = v5 )
= $false )
| ( ( v1 = v4 )
= $false ) ),
inference(extuni,[status(esa)],[482]) ).
thf(568,plain,
( ( ( r @ v0 @ v1 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( v1 = v2 )
= $true ) ),
inference(extuni,[status(esa)],[477:[bind(SV9,$thf( v0 )),bind(SV10,$thf( v1 ))]]) ).
thf(569,plain,
( ( ( r @ v2 @ v1 )
= $true )
| ( ( r @ v0 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v2 )
= $true ) ),
inference(extuni,[status(esa)],[476:[bind(SV9,$thf( v2 )),bind(SV10,$thf( v1 ))]]) ).
thf(570,plain,
( ( ( r @ v2 @ v0 )
= $true )
| ( ( r @ v1 @ v2 )
= $true )
| ( ( r @ v1 @ v0 )
= $true )
| ( ( v1 = v2 )
= $true ) ),
inference(extuni,[status(esa)],[475:[bind(SV9,$thf( v2 )),bind(SV10,$thf( v0 ))]]) ).
thf(571,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[80,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,450,448,446,445,444,443,442,441,440,439,438,437,436,434,432,430,429,428,427,426,425,424,422,420,418,417,416,414,412,410,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,136,116,115,94,93,92,91,90,89,88,87,86,85,84,83,82,81]) ).
thf(572,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[571]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA117^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 10:27:26 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 217.50/36.85
% 217.50/36.85 No.of.Axioms: 18
% 217.50/36.85
% 217.50/36.85 Length.of.Defs: 0
% 217.50/36.85
% 217.50/36.85 Contains.Choice.Funs: false
% 217.50/36.85 ..eprover: CPU time limit exceeded, terminating
% 217.50/36.85 eprover: CPU time limit exceeded, terminating
% 217.50/36.85 .........
% 217.50/36.85
% 217.50/36.85 ********************************
% 217.50/36.85 * All subproblems solved! *
% 217.50/36.85 ********************************
% 217.50/36.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:18,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:571,loop_count:20,foatp_calls:3,translation:fof_full)
% 217.50/36.85
% 217.50/36.85 %**** Beginning of derivation protocol ****
% 217.50/36.85 % SZS output start CNFRefutation
% See solution above
% 217.50/36.85
% 217.50/36.85 %**** End of derivation protocol ****
% 217.50/36.85 %**** no. of clauses in derivation: 396 ****
% 217.50/36.85 %**** clause counter: 571 ****
% 217.50/36.85
% 217.50/36.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:18,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:571,loop_count:20,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------