TSTP Solution File: SWW443-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWW443-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:50:15 EDT 2022
% Result : Unsatisfiable 1.17s 1.36s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 61
% Syntax : Number of formulae : 245 ( 190 unt; 25 typ; 0 def)
% Number of atoms : 742 ( 392 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 1549 ( 165 ~; 106 |; 0 &;1278 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 23 con; 0-2 aty)
% Number of variables : 341 ( 0 ^ 341 !; 0 ?; 341 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_emp,type,
emp: $i ).
thf(tp_heap,type,
heap: $i > $o ).
thf(tp_lseg,type,
lseg: $i > $i > $i ).
thf(tp_next,type,
next: $i > $i > $i ).
thf(tp_nil,type,
nil: $i ).
thf(tp_sep,type,
sep: $i > $i > $i ).
thf(tp_x1,type,
x1: $i ).
thf(tp_x10,type,
x10: $i ).
thf(tp_x11,type,
x11: $i ).
thf(tp_x12,type,
x12: $i ).
thf(tp_x13,type,
x13: $i ).
thf(tp_x14,type,
x14: $i ).
thf(tp_x15,type,
x15: $i ).
thf(tp_x16,type,
x16: $i ).
thf(tp_x17,type,
x17: $i ).
thf(tp_x18,type,
x18: $i ).
thf(tp_x19,type,
x19: $i ).
thf(tp_x2,type,
x2: $i ).
thf(tp_x3,type,
x3: $i ).
thf(tp_x4,type,
x4: $i ).
thf(tp_x5,type,
x5: $i ).
thf(tp_x6,type,
x6: $i ).
thf(tp_x7,type,
x7: $i ).
thf(tp_x8,type,
x8: $i ).
thf(tp_x9,type,
x9: $i ).
thf(1,axiom,
! [X: $i,Y: $i,Z: $i,W: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ Y @ Z ) @ ( sep @ ( lseg @ Z @ W ) @ Sigma ) ) ) )
| ( Z = W )
| ( heap @ ( sep @ ( lseg @ X @ Z ) @ ( sep @ ( lseg @ Z @ W ) @ Sigma ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_5) ).
thf(2,axiom,
! [X: $i,Y: $i,Z: $i,W: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ Y @ Z ) @ ( sep @ ( next @ Z @ W ) @ Sigma ) ) ) )
| ( heap @ ( sep @ ( lseg @ X @ Z ) @ ( sep @ ( next @ Z @ W ) @ Sigma ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_4) ).
thf(3,axiom,
! [X: $i,Y: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ Y @ nil ) @ Sigma ) ) )
| ( heap @ ( sep @ ( lseg @ X @ nil ) @ Sigma ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_3) ).
thf(4,axiom,
! [X: $i,Y: $i,Z: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( next @ X @ Y ) @ ( sep @ ( lseg @ Y @ Z ) @ Sigma ) ) )
| ( X = Y )
| ( heap @ ( sep @ ( lseg @ X @ Z ) @ Sigma ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_2) ).
thf(5,axiom,
! [X: $i,Y: $i,Z: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ X @ Z ) @ Sigma ) ) )
| ( X = Y )
| ( X = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_5) ).
thf(6,axiom,
! [X: $i,Y: $i,Z: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( next @ X @ Y ) @ ( sep @ ( lseg @ X @ Z ) @ Sigma ) ) )
| ( X = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_4) ).
thf(7,axiom,
! [X: $i,Y: $i,Z: $i,Sigma: $i] :
~ ( heap @ ( sep @ ( next @ X @ Y ) @ ( sep @ ( next @ X @ Z ) @ Sigma ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_3) ).
thf(8,axiom,
! [Y: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( lseg @ nil @ Y ) @ Sigma ) )
| ( Y = nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_2) ).
thf(9,axiom,
! [Y: $i,Sigma: $i] :
~ ( heap @ ( sep @ ( next @ nil @ Y ) @ Sigma ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_1) ).
thf(10,axiom,
! [X: $i,Sigma: $i] :
( ( sep @ ( lseg @ X @ X ) @ Sigma )
= Sigma ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normalization) ).
thf(11,axiom,
! [S: $i,T: $i,Sigma: $i] :
( ( sep @ S @ ( sep @ T @ Sigma ) )
= ( sep @ T @ ( sep @ S @ Sigma ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_commutative) ).
thf(12,axiom,
heap @ ( sep @ ( lseg @ x10 @ x1 ) @ ( sep @ ( lseg @ x18 @ x15 ) @ ( sep @ ( lseg @ x1 @ x14 ) @ ( sep @ ( lseg @ x1 @ x3 ) @ ( sep @ ( lseg @ x12 @ x13 ) @ ( sep @ ( lseg @ x2 @ x5 ) @ ( sep @ ( lseg @ x2 @ x12 ) @ ( sep @ ( lseg @ x2 @ x18 ) @ ( sep @ ( lseg @ x2 @ x8 ) @ ( sep @ ( lseg @ x9 @ x5 ) @ ( sep @ ( lseg @ x7 @ x5 ) @ ( sep @ ( lseg @ x11 @ x9 ) @ ( sep @ ( lseg @ x11 @ x7 ) @ emp ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_23) ).
thf(13,axiom,
x5 != x15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_22) ).
thf(14,axiom,
x5 != x16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_21) ).
thf(15,axiom,
x13 != x19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_20) ).
thf(16,axiom,
x1 != x14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_19) ).
thf(17,axiom,
x1 != x15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_18) ).
thf(18,axiom,
x1 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_17) ).
thf(19,axiom,
x1 != x6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_16) ).
thf(20,axiom,
x4 != x19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_15) ).
thf(21,axiom,
x4 != x18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_14) ).
thf(22,axiom,
x8 != x9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_13) ).
thf(23,axiom,
x14 != x16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_12) ).
thf(24,axiom,
x14 != x18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_11) ).
thf(25,axiom,
x2 != x14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_10) ).
thf(26,axiom,
x2 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_9) ).
thf(27,axiom,
x2 != x8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).
thf(28,axiom,
x17 != x18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_7) ).
thf(29,axiom,
x3 != x5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).
thf(30,axiom,
x3 != x4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).
thf(31,axiom,
x11 != x15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).
thf(32,axiom,
x11 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
thf(33,axiom,
x11 != x16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
thf(34,axiom,
x6 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
thf(35,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(36,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[35]) ).
thf(37,negated_conjecture,
( ( x1 = x1 )
| ~ ( heap @ emp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
thf(38,plain,
$false = $false,
inference(unfold_def,[status(thm)],[36]) ).
thf(39,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ Y @ Z ) @ ( sep @ ( lseg @ Z @ W ) @ Sigma ) ) ) )
| ( Z = W )
| ( heap @ ( sep @ ( lseg @ X @ Z ) @ ( sep @ ( lseg @ Z @ W ) @ Sigma ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(40,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ Y @ Z ) @ ( sep @ ( next @ Z @ W ) @ Sigma ) ) ) )
| ( heap @ ( sep @ ( lseg @ X @ Z ) @ ( sep @ ( next @ Z @ W ) @ Sigma ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(41,plain,
( ( ! [X: $i,Y: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ Y @ nil ) @ Sigma ) ) )
| ( heap @ ( sep @ ( lseg @ X @ nil ) @ Sigma ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i,Z: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( next @ X @ Y ) @ ( sep @ ( lseg @ Y @ Z ) @ Sigma ) ) )
| ( X = Y )
| ( heap @ ( sep @ ( lseg @ X @ Z ) @ Sigma ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(43,plain,
( ( ! [X: $i,Y: $i,Z: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ X @ Z ) @ Sigma ) ) )
| ( X = Y )
| ( X = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(44,plain,
( ( ! [X: $i,Y: $i,Z: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( next @ X @ Y ) @ ( sep @ ( lseg @ X @ Z ) @ Sigma ) ) )
| ( X = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(45,plain,
( ( ! [X: $i,Y: $i,Z: $i,Sigma: $i] :
~ ( heap @ ( sep @ ( next @ X @ Y ) @ ( sep @ ( next @ X @ Z ) @ Sigma ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(46,plain,
( ( ! [Y: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( lseg @ nil @ Y ) @ Sigma ) )
| ( Y = nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(47,plain,
( ( ! [Y: $i,Sigma: $i] :
~ ( heap @ ( sep @ ( next @ nil @ Y ) @ Sigma ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(48,plain,
( ( ! [X: $i,Sigma: $i] :
( ( sep @ ( lseg @ X @ X ) @ Sigma )
= Sigma ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(49,plain,
( ( ! [S: $i,T: $i,Sigma: $i] :
( ( sep @ S @ ( sep @ T @ Sigma ) )
= ( sep @ T @ ( sep @ S @ Sigma ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(50,plain,
( ( heap @ ( sep @ ( lseg @ x10 @ x1 ) @ ( sep @ ( lseg @ x18 @ x15 ) @ ( sep @ ( lseg @ x1 @ x14 ) @ ( sep @ ( lseg @ x1 @ x3 ) @ ( sep @ ( lseg @ x12 @ x13 ) @ ( sep @ ( lseg @ x2 @ x5 ) @ ( sep @ ( lseg @ x2 @ x12 ) @ ( sep @ ( lseg @ x2 @ x18 ) @ ( sep @ ( lseg @ x2 @ x8 ) @ ( sep @ ( lseg @ x9 @ x5 ) @ ( sep @ ( lseg @ x7 @ x5 ) @ ( sep @ ( lseg @ x11 @ x9 ) @ ( sep @ ( lseg @ x11 @ x7 ) @ emp ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(51,plain,
( ( ( x5 != x15 ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(52,plain,
( ( ( x5 != x16 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(53,plain,
( ( ( x13 != x19 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(54,plain,
( ( ( x1 != x14 ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(55,plain,
( ( ( x1 != x15 ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(56,plain,
( ( ( x1 != x13 ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(57,plain,
( ( ( x1 != x6 ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(58,plain,
( ( ( x4 != x19 ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(59,plain,
( ( ( x4 != x18 ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(60,plain,
( ( ( x8 != x9 ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(61,plain,
( ( ( x14 != x16 ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(62,plain,
( ( ( x14 != x18 ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(63,plain,
( ( ( x2 != x14 ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(64,plain,
( ( ( x2 != x13 ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(65,plain,
( ( ( x2 != x8 ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(66,plain,
( ( ( x17 != x18 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(67,plain,
( ( ( x3 != x5 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(68,plain,
( ( ( x3 != x4 ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(69,plain,
( ( ( x11 != x15 ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(70,plain,
( ( ( x11 != x13 ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(71,plain,
( ( ( x11 != x16 ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(72,plain,
( ( ( x6 != x13 ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(73,plain,
( ( ( x1 = x1 )
| ~ ( heap @ emp ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(74,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[38]) ).
thf(75,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ! [Sigma: $i] :
~ ( heap @ ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ X @ Z ) @ Sigma ) ) )
| ( X = Y )
| ( X = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(76,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ! [Sigma: $i] :
~ ( heap @ ( sep @ ( next @ X @ Y ) @ ( sep @ ( lseg @ X @ Z ) @ Sigma ) ) )
| ( X = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(77,plain,
( ( ! [Y: $i] :
( ! [Sigma: $i] :
~ ( heap @ ( sep @ ( lseg @ nil @ Y ) @ Sigma ) )
| ( Y = nil ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(78,plain,
( ( ( x5 != x15 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(79,plain,
( ( ( x5 != x16 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(80,plain,
( ( ( x13 != x19 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(81,plain,
( ( ( x1 != x14 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(82,plain,
( ( ( x1 != x15 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(83,plain,
( ( ( x1 != x13 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(84,plain,
( ( ( x1 != x6 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(85,plain,
( ( ( x4 != x19 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(86,plain,
( ( ( x4 != x18 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(87,plain,
( ( ( x8 != x9 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(88,plain,
( ( ( x14 != x16 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(89,plain,
( ( ( x14 != x18 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(90,plain,
( ( ( x2 != x14 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(91,plain,
( ( ( x2 != x13 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(92,plain,
( ( ( x2 != x8 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(93,plain,
( ( ( x17 != x18 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(94,plain,
( ( ( x3 != x5 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(95,plain,
( ( ( x3 != x4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(96,plain,
( ( ( x11 != x15 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(97,plain,
( ( ( x11 != x13 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(98,plain,
( ( ( x11 != x16 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(99,plain,
( ( ( x6 != x13 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(100,plain,
( ( $true
| ~ ( heap @ emp ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(101,plain,
( ( $true
| ~ ( heap @ emp ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(102,plain,
( ( ( x6 != x13 ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(103,plain,
( ( ( x11 != x16 ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(104,plain,
( ( ( x11 != x13 ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(105,plain,
( ( ( x11 != x15 ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(106,plain,
( ( ( x3 != x4 ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(107,plain,
( ( ( x3 != x5 ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(108,plain,
( ( ( x17 != x18 ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(109,plain,
( ( ( x2 != x8 ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(110,plain,
( ( ( x2 != x13 ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(111,plain,
( ( ( x2 != x14 ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(112,plain,
( ( ( x14 != x18 ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(113,plain,
( ( ( x14 != x16 ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(114,plain,
( ( ( x8 != x9 ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(115,plain,
( ( ( x4 != x18 ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(116,plain,
( ( ( x4 != x19 ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(117,plain,
( ( ( x1 != x6 ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(118,plain,
( ( ( x1 != x13 ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(119,plain,
( ( ( x1 != x15 ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(120,plain,
( ( ( x1 != x14 ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(121,plain,
( ( ( x13 != x19 ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(122,plain,
( ( ( x5 != x16 ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(123,plain,
( ( ( x5 != x15 ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(124,plain,
( ( heap @ ( sep @ ( lseg @ x10 @ x1 ) @ ( sep @ ( lseg @ x18 @ x15 ) @ ( sep @ ( lseg @ x1 @ x14 ) @ ( sep @ ( lseg @ x1 @ x3 ) @ ( sep @ ( lseg @ x12 @ x13 ) @ ( sep @ ( lseg @ x2 @ x5 ) @ ( sep @ ( lseg @ x2 @ x12 ) @ ( sep @ ( lseg @ x2 @ x18 ) @ ( sep @ ( lseg @ x2 @ x8 ) @ ( sep @ ( lseg @ x9 @ x5 ) @ ( sep @ ( lseg @ x7 @ x5 ) @ ( sep @ ( lseg @ x11 @ x9 ) @ ( sep @ ( lseg @ x11 @ x7 ) @ emp ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(125,plain,
( ( ! [S: $i,T: $i,Sigma: $i] :
( ( sep @ S @ ( sep @ T @ Sigma ) )
= ( sep @ T @ ( sep @ S @ Sigma ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(126,plain,
( ( ! [X: $i,Sigma: $i] :
( ( sep @ ( lseg @ X @ X ) @ Sigma )
= Sigma ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(127,plain,
( ( ! [Y: $i,Sigma: $i] :
~ ( heap @ ( sep @ ( next @ nil @ Y ) @ Sigma ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(128,plain,
( ( ! [Y: $i] :
( ! [Sigma: $i] :
~ ( heap @ ( sep @ ( lseg @ nil @ Y ) @ Sigma ) )
| ( Y = nil ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(129,plain,
( ( ! [X: $i,Y: $i,Z: $i,Sigma: $i] :
~ ( heap @ ( sep @ ( next @ X @ Y ) @ ( sep @ ( next @ X @ Z ) @ Sigma ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(130,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ! [Sigma: $i] :
~ ( heap @ ( sep @ ( next @ X @ Y ) @ ( sep @ ( lseg @ X @ Z ) @ Sigma ) ) )
| ( X = Z ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(131,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ! [Sigma: $i] :
~ ( heap @ ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ X @ Z ) @ Sigma ) ) )
| ( X = Y )
| ( X = Z ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(132,plain,
( ( ! [X: $i,Y: $i,Z: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( next @ X @ Y ) @ ( sep @ ( lseg @ Y @ Z ) @ Sigma ) ) )
| ( X = Y )
| ( heap @ ( sep @ ( lseg @ X @ Z ) @ Sigma ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(133,plain,
( ( ! [X: $i,Y: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ Y @ nil ) @ Sigma ) ) )
| ( heap @ ( sep @ ( lseg @ X @ nil ) @ Sigma ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(134,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ Y @ Z ) @ ( sep @ ( next @ Z @ W ) @ Sigma ) ) ) )
| ( heap @ ( sep @ ( lseg @ X @ Z ) @ ( sep @ ( next @ Z @ W ) @ Sigma ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(135,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i,Sigma: $i] :
( ~ ( heap @ ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ Y @ Z ) @ ( sep @ ( lseg @ Z @ W ) @ Sigma ) ) ) )
| ( Z = W )
| ( heap @ ( sep @ ( lseg @ X @ Z ) @ ( sep @ ( lseg @ Z @ W ) @ Sigma ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(136,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(137,plain,
( ( $true = $true )
| ( ( ~ ( heap @ emp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(138,plain,
( ( x6 = x13 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(139,plain,
( ( x11 = x16 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(140,plain,
( ( x11 = x13 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(141,plain,
( ( x11 = x15 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(142,plain,
( ( x3 = x4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(143,plain,
( ( x3 = x5 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(144,plain,
( ( x17 = x18 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(145,plain,
( ( x2 = x8 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(146,plain,
( ( x2 = x13 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(147,plain,
( ( x2 = x14 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(148,plain,
( ( x14 = x18 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(149,plain,
( ( x14 = x16 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(150,plain,
( ( x8 = x9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(151,plain,
( ( x4 = x18 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(152,plain,
( ( x4 = x19 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(153,plain,
( ( x1 = x6 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(154,plain,
( ( x1 = x13 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(155,plain,
( ( x1 = x15 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(156,plain,
( ( x1 = x14 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(157,plain,
( ( x13 = x19 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(158,plain,
( ( x5 = x16 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(159,plain,
( ( x5 = x15 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(160,plain,
! [SV1: $i] :
( ( ! [SY38: $i,SY39: $i] :
( ( sep @ SV1 @ ( sep @ SY38 @ SY39 ) )
= ( sep @ SY38 @ ( sep @ SV1 @ SY39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(161,plain,
! [SV2: $i] :
( ( ! [SY40: $i] :
( ( sep @ ( lseg @ SV2 @ SV2 ) @ SY40 )
= SY40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(162,plain,
! [SV3: $i] :
( ( ! [SY41: $i] :
~ ( heap @ ( sep @ ( next @ nil @ SV3 ) @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(163,plain,
! [SV4: $i] :
( ( ! [SY42: $i] :
~ ( heap @ ( sep @ ( lseg @ nil @ SV4 ) @ SY42 ) )
| ( SV4 = nil ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(164,plain,
! [SV5: $i] :
( ( ! [SY43: $i,SY44: $i,SY45: $i] :
~ ( heap @ ( sep @ ( next @ SV5 @ SY43 ) @ ( sep @ ( next @ SV5 @ SY44 ) @ SY45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(165,plain,
! [SV6: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ! [SY48: $i] :
~ ( heap @ ( sep @ ( next @ SV6 @ SY46 ) @ ( sep @ ( lseg @ SV6 @ SY47 ) @ SY48 ) ) )
| ( SV6 = SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(166,plain,
! [SV7: $i] :
( ( ! [SY49: $i,SY50: $i] :
( ! [SY51: $i] :
~ ( heap @ ( sep @ ( lseg @ SV7 @ SY49 ) @ ( sep @ ( lseg @ SV7 @ SY50 ) @ SY51 ) ) )
| ( SV7 = SY49 )
| ( SV7 = SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(167,plain,
! [SV8: $i] :
( ( ! [SY52: $i,SY53: $i,SY54: $i] :
( ~ ( heap @ ( sep @ ( next @ SV8 @ SY52 ) @ ( sep @ ( lseg @ SY52 @ SY53 ) @ SY54 ) ) )
| ( SV8 = SY52 )
| ( heap @ ( sep @ ( lseg @ SV8 @ SY53 ) @ SY54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(168,plain,
! [SV9: $i] :
( ( ! [SY55: $i,SY56: $i] :
( ~ ( heap @ ( sep @ ( lseg @ SV9 @ SY55 ) @ ( sep @ ( lseg @ SY55 @ nil ) @ SY56 ) ) )
| ( heap @ ( sep @ ( lseg @ SV9 @ nil ) @ SY56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(169,plain,
! [SV10: $i] :
( ( ! [SY57: $i,SY58: $i,SY59: $i,SY60: $i] :
( ~ ( heap @ ( sep @ ( lseg @ SV10 @ SY57 ) @ ( sep @ ( lseg @ SY57 @ SY58 ) @ ( sep @ ( next @ SY58 @ SY59 ) @ SY60 ) ) ) )
| ( heap @ ( sep @ ( lseg @ SV10 @ SY58 ) @ ( sep @ ( next @ SY58 @ SY59 ) @ SY60 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(170,plain,
! [SV11: $i] :
( ( ! [SY61: $i,SY62: $i,SY63: $i,SY64: $i] :
( ~ ( heap @ ( sep @ ( lseg @ SV11 @ SY61 ) @ ( sep @ ( lseg @ SY61 @ SY62 ) @ ( sep @ ( lseg @ SY62 @ SY63 ) @ SY64 ) ) ) )
| ( SY62 = SY63 )
| ( heap @ ( sep @ ( lseg @ SV11 @ SY62 ) @ ( sep @ ( lseg @ SY62 @ SY63 ) @ SY64 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(171,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(172,plain,
( ( ( heap @ emp )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(173,plain,
! [SV12: $i,SV1: $i] :
( ( ! [SY65: $i] :
( ( sep @ SV1 @ ( sep @ SV12 @ SY65 ) )
= ( sep @ SV12 @ ( sep @ SV1 @ SY65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(174,plain,
! [SV13: $i,SV2: $i] :
( ( ( sep @ ( lseg @ SV2 @ SV2 ) @ SV13 )
= SV13 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(175,plain,
! [SV14: $i,SV3: $i] :
( ( ~ ( heap @ ( sep @ ( next @ nil @ SV3 ) @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(176,plain,
! [SV4: $i] :
( ( ( ! [SY42: $i] :
~ ( heap @ ( sep @ ( lseg @ nil @ SV4 ) @ SY42 ) ) )
= $true )
| ( ( SV4 = nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(177,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY66: $i,SY67: $i] :
~ ( heap @ ( sep @ ( next @ SV5 @ SV15 ) @ ( sep @ ( next @ SV5 @ SY66 ) @ SY67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(178,plain,
! [SV16: $i,SV6: $i] :
( ( ! [SY68: $i] :
( ! [SY69: $i] :
~ ( heap @ ( sep @ ( next @ SV6 @ SV16 ) @ ( sep @ ( lseg @ SV6 @ SY68 ) @ SY69 ) ) )
| ( SV6 = SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(179,plain,
! [SV17: $i,SV7: $i] :
( ( ! [SY70: $i] :
( ! [SY71: $i] :
~ ( heap @ ( sep @ ( lseg @ SV7 @ SV17 ) @ ( sep @ ( lseg @ SV7 @ SY70 ) @ SY71 ) ) )
| ( SV7 = SV17 )
| ( SV7 = SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(180,plain,
! [SV18: $i,SV8: $i] :
( ( ! [SY72: $i,SY73: $i] :
( ~ ( heap @ ( sep @ ( next @ SV8 @ SV18 ) @ ( sep @ ( lseg @ SV18 @ SY72 ) @ SY73 ) ) )
| ( SV8 = SV18 )
| ( heap @ ( sep @ ( lseg @ SV8 @ SY72 ) @ SY73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(181,plain,
! [SV19: $i,SV9: $i] :
( ( ! [SY74: $i] :
( ~ ( heap @ ( sep @ ( lseg @ SV9 @ SV19 ) @ ( sep @ ( lseg @ SV19 @ nil ) @ SY74 ) ) )
| ( heap @ ( sep @ ( lseg @ SV9 @ nil ) @ SY74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(182,plain,
! [SV20: $i,SV10: $i] :
( ( ! [SY75: $i,SY76: $i,SY77: $i] :
( ~ ( heap @ ( sep @ ( lseg @ SV10 @ SV20 ) @ ( sep @ ( lseg @ SV20 @ SY75 ) @ ( sep @ ( next @ SY75 @ SY76 ) @ SY77 ) ) ) )
| ( heap @ ( sep @ ( lseg @ SV10 @ SY75 ) @ ( sep @ ( next @ SY75 @ SY76 ) @ SY77 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(183,plain,
! [SV21: $i,SV11: $i] :
( ( ! [SY78: $i,SY79: $i,SY80: $i] :
( ~ ( heap @ ( sep @ ( lseg @ SV11 @ SV21 ) @ ( sep @ ( lseg @ SV21 @ SY78 ) @ ( sep @ ( lseg @ SY78 @ SY79 ) @ SY80 ) ) ) )
| ( SY78 = SY79 )
| ( heap @ ( sep @ ( lseg @ SV11 @ SY78 ) @ ( sep @ ( lseg @ SY78 @ SY79 ) @ SY80 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(184,plain,
! [SV22: $i,SV12: $i,SV1: $i] :
( ( ( sep @ SV1 @ ( sep @ SV12 @ SV22 ) )
= ( sep @ SV12 @ ( sep @ SV1 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(185,plain,
! [SV14: $i,SV3: $i] :
( ( heap @ ( sep @ ( next @ nil @ SV3 ) @ SV14 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(186,plain,
! [SV23: $i,SV4: $i] :
( ( ( ~ ( heap @ ( sep @ ( lseg @ nil @ SV4 ) @ SV23 ) ) )
= $true )
| ( ( SV4 = nil )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(187,plain,
! [SV24: $i,SV15: $i,SV5: $i] :
( ( ! [SY81: $i] :
~ ( heap @ ( sep @ ( next @ SV5 @ SV15 ) @ ( sep @ ( next @ SV5 @ SV24 ) @ SY81 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(188,plain,
! [SV25: $i,SV16: $i,SV6: $i] :
( ( ! [SY82: $i] :
~ ( heap @ ( sep @ ( next @ SV6 @ SV16 ) @ ( sep @ ( lseg @ SV6 @ SV25 ) @ SY82 ) ) )
| ( SV6 = SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(189,plain,
! [SV26: $i,SV17: $i,SV7: $i] :
( ( ! [SY83: $i] :
~ ( heap @ ( sep @ ( lseg @ SV7 @ SV17 ) @ ( sep @ ( lseg @ SV7 @ SV26 ) @ SY83 ) ) )
| ( SV7 = SV17 )
| ( SV7 = SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(190,plain,
! [SV27: $i,SV18: $i,SV8: $i] :
( ( ! [SY84: $i] :
( ~ ( heap @ ( sep @ ( next @ SV8 @ SV18 ) @ ( sep @ ( lseg @ SV18 @ SV27 ) @ SY84 ) ) )
| ( SV8 = SV18 )
| ( heap @ ( sep @ ( lseg @ SV8 @ SV27 ) @ SY84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(191,plain,
! [SV28: $i,SV19: $i,SV9: $i] :
( ( ~ ( heap @ ( sep @ ( lseg @ SV9 @ SV19 ) @ ( sep @ ( lseg @ SV19 @ nil ) @ SV28 ) ) )
| ( heap @ ( sep @ ( lseg @ SV9 @ nil ) @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(192,plain,
! [SV29: $i,SV20: $i,SV10: $i] :
( ( ! [SY85: $i,SY86: $i] :
( ~ ( heap @ ( sep @ ( lseg @ SV10 @ SV20 ) @ ( sep @ ( lseg @ SV20 @ SV29 ) @ ( sep @ ( next @ SV29 @ SY85 ) @ SY86 ) ) ) )
| ( heap @ ( sep @ ( lseg @ SV10 @ SV29 ) @ ( sep @ ( next @ SV29 @ SY85 ) @ SY86 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(193,plain,
! [SV30: $i,SV21: $i,SV11: $i] :
( ( ! [SY87: $i,SY88: $i] :
( ~ ( heap @ ( sep @ ( lseg @ SV11 @ SV21 ) @ ( sep @ ( lseg @ SV21 @ SV30 ) @ ( sep @ ( lseg @ SV30 @ SY87 ) @ SY88 ) ) ) )
| ( SV30 = SY87 )
| ( heap @ ( sep @ ( lseg @ SV11 @ SV30 ) @ ( sep @ ( lseg @ SV30 @ SY87 ) @ SY88 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(194,plain,
! [SV23: $i,SV4: $i] :
( ( ( heap @ ( sep @ ( lseg @ nil @ SV4 ) @ SV23 ) )
= $false )
| ( ( SV4 = nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(195,plain,
! [SV31: $i,SV24: $i,SV15: $i,SV5: $i] :
( ( ~ ( heap @ ( sep @ ( next @ SV5 @ SV15 ) @ ( sep @ ( next @ SV5 @ SV24 ) @ SV31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(196,plain,
! [SV25: $i,SV16: $i,SV6: $i] :
( ( ( ! [SY82: $i] :
~ ( heap @ ( sep @ ( next @ SV6 @ SV16 ) @ ( sep @ ( lseg @ SV6 @ SV25 ) @ SY82 ) ) ) )
= $true )
| ( ( SV6 = SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(197,plain,
! [SV26: $i,SV17: $i,SV7: $i] :
( ( ( ! [SY83: $i] :
~ ( heap @ ( sep @ ( lseg @ SV7 @ SV17 ) @ ( sep @ ( lseg @ SV7 @ SV26 ) @ SY83 ) ) ) )
= $true )
| ( ( ( SV7 = SV17 )
| ( SV7 = SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(198,plain,
! [SV32: $i,SV27: $i,SV18: $i,SV8: $i] :
( ( ~ ( heap @ ( sep @ ( next @ SV8 @ SV18 ) @ ( sep @ ( lseg @ SV18 @ SV27 ) @ SV32 ) ) )
| ( SV8 = SV18 )
| ( heap @ ( sep @ ( lseg @ SV8 @ SV27 ) @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(199,plain,
! [SV28: $i,SV19: $i,SV9: $i] :
( ( ( ~ ( heap @ ( sep @ ( lseg @ SV9 @ SV19 ) @ ( sep @ ( lseg @ SV19 @ nil ) @ SV28 ) ) ) )
= $true )
| ( ( heap @ ( sep @ ( lseg @ SV9 @ nil ) @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(200,plain,
! [SV33: $i,SV29: $i,SV20: $i,SV10: $i] :
( ( ! [SY89: $i] :
( ~ ( heap @ ( sep @ ( lseg @ SV10 @ SV20 ) @ ( sep @ ( lseg @ SV20 @ SV29 ) @ ( sep @ ( next @ SV29 @ SV33 ) @ SY89 ) ) ) )
| ( heap @ ( sep @ ( lseg @ SV10 @ SV29 ) @ ( sep @ ( next @ SV29 @ SV33 ) @ SY89 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(201,plain,
! [SV34: $i,SV30: $i,SV21: $i,SV11: $i] :
( ( ! [SY90: $i] :
( ~ ( heap @ ( sep @ ( lseg @ SV11 @ SV21 ) @ ( sep @ ( lseg @ SV21 @ SV30 ) @ ( sep @ ( lseg @ SV30 @ SV34 ) @ SY90 ) ) ) )
| ( SV30 = SV34 )
| ( heap @ ( sep @ ( lseg @ SV11 @ SV30 ) @ ( sep @ ( lseg @ SV30 @ SV34 ) @ SY90 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(202,plain,
! [SV31: $i,SV24: $i,SV15: $i,SV5: $i] :
( ( heap @ ( sep @ ( next @ SV5 @ SV15 ) @ ( sep @ ( next @ SV5 @ SV24 ) @ SV31 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(203,plain,
! [SV35: $i,SV25: $i,SV16: $i,SV6: $i] :
( ( ( ~ ( heap @ ( sep @ ( next @ SV6 @ SV16 ) @ ( sep @ ( lseg @ SV6 @ SV25 ) @ SV35 ) ) ) )
= $true )
| ( ( SV6 = SV25 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(204,plain,
! [SV36: $i,SV26: $i,SV17: $i,SV7: $i] :
( ( ( ~ ( heap @ ( sep @ ( lseg @ SV7 @ SV17 ) @ ( sep @ ( lseg @ SV7 @ SV26 ) @ SV36 ) ) ) )
= $true )
| ( ( ( SV7 = SV17 )
| ( SV7 = SV26 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(205,plain,
! [SV32: $i,SV27: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( heap @ ( sep @ ( next @ SV8 @ SV18 ) @ ( sep @ ( lseg @ SV18 @ SV27 ) @ SV32 ) ) ) )
= $true )
| ( ( ( SV8 = SV18 )
| ( heap @ ( sep @ ( lseg @ SV8 @ SV27 ) @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(206,plain,
! [SV28: $i,SV19: $i,SV9: $i] :
( ( ( heap @ ( sep @ ( lseg @ SV9 @ SV19 ) @ ( sep @ ( lseg @ SV19 @ nil ) @ SV28 ) ) )
= $false )
| ( ( heap @ ( sep @ ( lseg @ SV9 @ nil ) @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(207,plain,
! [SV37: $i,SV33: $i,SV29: $i,SV20: $i,SV10: $i] :
( ( ~ ( heap @ ( sep @ ( lseg @ SV10 @ SV20 ) @ ( sep @ ( lseg @ SV20 @ SV29 ) @ ( sep @ ( next @ SV29 @ SV33 ) @ SV37 ) ) ) )
| ( heap @ ( sep @ ( lseg @ SV10 @ SV29 ) @ ( sep @ ( next @ SV29 @ SV33 ) @ SV37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(208,plain,
! [SV38: $i,SV34: $i,SV30: $i,SV21: $i,SV11: $i] :
( ( ~ ( heap @ ( sep @ ( lseg @ SV11 @ SV21 ) @ ( sep @ ( lseg @ SV21 @ SV30 ) @ ( sep @ ( lseg @ SV30 @ SV34 ) @ SV38 ) ) ) )
| ( SV30 = SV34 )
| ( heap @ ( sep @ ( lseg @ SV11 @ SV30 ) @ ( sep @ ( lseg @ SV30 @ SV34 ) @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(209,plain,
! [SV35: $i,SV25: $i,SV16: $i,SV6: $i] :
( ( ( heap @ ( sep @ ( next @ SV6 @ SV16 ) @ ( sep @ ( lseg @ SV6 @ SV25 ) @ SV35 ) ) )
= $false )
| ( ( SV6 = SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(210,plain,
! [SV36: $i,SV26: $i,SV17: $i,SV7: $i] :
( ( ( heap @ ( sep @ ( lseg @ SV7 @ SV17 ) @ ( sep @ ( lseg @ SV7 @ SV26 ) @ SV36 ) ) )
= $false )
| ( ( ( SV7 = SV17 )
| ( SV7 = SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(211,plain,
! [SV32: $i,SV27: $i,SV18: $i,SV8: $i] :
( ( ( heap @ ( sep @ ( next @ SV8 @ SV18 ) @ ( sep @ ( lseg @ SV18 @ SV27 ) @ SV32 ) ) )
= $false )
| ( ( ( SV8 = SV18 )
| ( heap @ ( sep @ ( lseg @ SV8 @ SV27 ) @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(212,plain,
! [SV37: $i,SV33: $i,SV29: $i,SV20: $i,SV10: $i] :
( ( ( ~ ( heap @ ( sep @ ( lseg @ SV10 @ SV20 ) @ ( sep @ ( lseg @ SV20 @ SV29 ) @ ( sep @ ( next @ SV29 @ SV33 ) @ SV37 ) ) ) ) )
= $true )
| ( ( heap @ ( sep @ ( lseg @ SV10 @ SV29 ) @ ( sep @ ( next @ SV29 @ SV33 ) @ SV37 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(213,plain,
! [SV38: $i,SV34: $i,SV30: $i,SV21: $i,SV11: $i] :
( ( ( ~ ( heap @ ( sep @ ( lseg @ SV11 @ SV21 ) @ ( sep @ ( lseg @ SV21 @ SV30 ) @ ( sep @ ( lseg @ SV30 @ SV34 ) @ SV38 ) ) ) ) )
= $true )
| ( ( ( SV30 = SV34 )
| ( heap @ ( sep @ ( lseg @ SV11 @ SV30 ) @ ( sep @ ( lseg @ SV30 @ SV34 ) @ SV38 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(214,plain,
! [SV36: $i,SV26: $i,SV17: $i,SV7: $i] :
( ( ( SV7 = SV17 )
= $true )
| ( ( SV7 = SV26 )
= $true )
| ( ( heap @ ( sep @ ( lseg @ SV7 @ SV17 ) @ ( sep @ ( lseg @ SV7 @ SV26 ) @ SV36 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(215,plain,
! [SV32: $i,SV27: $i,SV18: $i,SV8: $i] :
( ( ( SV8 = SV18 )
= $true )
| ( ( heap @ ( sep @ ( lseg @ SV8 @ SV27 ) @ SV32 ) )
= $true )
| ( ( heap @ ( sep @ ( next @ SV8 @ SV18 ) @ ( sep @ ( lseg @ SV18 @ SV27 ) @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(216,plain,
! [SV37: $i,SV33: $i,SV29: $i,SV20: $i,SV10: $i] :
( ( ( heap @ ( sep @ ( lseg @ SV10 @ SV20 ) @ ( sep @ ( lseg @ SV20 @ SV29 ) @ ( sep @ ( next @ SV29 @ SV33 ) @ SV37 ) ) ) )
= $false )
| ( ( heap @ ( sep @ ( lseg @ SV10 @ SV29 ) @ ( sep @ ( next @ SV29 @ SV33 ) @ SV37 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(217,plain,
! [SV38: $i,SV34: $i,SV30: $i,SV21: $i,SV11: $i] :
( ( ( heap @ ( sep @ ( lseg @ SV11 @ SV21 ) @ ( sep @ ( lseg @ SV21 @ SV30 ) @ ( sep @ ( lseg @ SV30 @ SV34 ) @ SV38 ) ) ) )
= $false )
| ( ( ( SV30 = SV34 )
| ( heap @ ( sep @ ( lseg @ SV11 @ SV30 ) @ ( sep @ ( lseg @ SV30 @ SV34 ) @ SV38 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(218,plain,
! [SV21: $i,SV38: $i,SV11: $i,SV34: $i,SV30: $i] :
( ( ( SV30 = SV34 )
= $true )
| ( ( heap @ ( sep @ ( lseg @ SV11 @ SV30 ) @ ( sep @ ( lseg @ SV30 @ SV34 ) @ SV38 ) ) )
= $true )
| ( ( heap @ ( sep @ ( lseg @ SV11 @ SV21 ) @ ( sep @ ( lseg @ SV21 @ SV30 ) @ ( sep @ ( lseg @ SV30 @ SV34 ) @ SV38 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(219,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[124,218,216,215,214,209,206,202,194,185,184,174,172,171,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138]) ).
thf(220,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW443-1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 5 13:20:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47
% 0.21/0.47 No.of.Axioms: 35
% 0.21/0.47
% 0.21/0.47 Length.of.Defs: 0
% 0.21/0.47
% 0.21/0.47 Contains.Choice.Funs: false
% 0.38/0.56 (rf:0,axioms:35,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:37,loop_count:0,foatp_calls:0,translation:fof_full)........
% 1.17/1.36
% 1.17/1.36 ********************************
% 1.17/1.36 * All subproblems solved! *
% 1.17/1.36 ********************************
% 1.17/1.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:35,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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:219,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.20/1.37
% 1.20/1.37 %**** Beginning of derivation protocol ****
% 1.20/1.37 % SZS output start CNFRefutation
% See solution above
% 1.20/1.37
% 1.20/1.37 %**** End of derivation protocol ****
% 1.20/1.37 %**** no. of clauses in derivation: 220 ****
% 1.20/1.37 %**** clause counter: 219 ****
% 1.20/1.37
% 1.20/1.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:35,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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:219,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------