TSTP Solution File: PUZ056-2.005 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ056-2.005 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n032.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 : Mon Jul 18 18:19:32 EDT 2022
% Result : Unsatisfiable 2.22s 2.46s
% Output : CNFRefutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 22
% Syntax : Number of formulae : 150 ( 85 unt; 5 typ; 0 def)
% Number of atoms : 1377 ( 326 equ; 0 cnn)
% Maximal formula atoms : 10 ( 9 avg)
% Number of connectives : 3055 ( 420 ~; 580 |; 0 &;2055 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-5 aty)
% Number of variables : 600 ( 0 ^ 600 !; 0 ?; 600 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_neq,type,
neq: $i > $i > $o ).
thf(tp_p,type,
p: $i > $i > $i > $i > $i > $o ).
thf(tp_s0,type,
s0: $i ).
thf(tp_s1,type,
s1: $i ).
thf(tp_s2,type,
s2: $i ).
thf(1,axiom,
p @ s0 @ s0 @ s0 @ s0 @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).
thf(2,axiom,
~ ( neq @ s2 @ s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq9) ).
thf(3,axiom,
neq @ s2 @ s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq8) ).
thf(4,axiom,
neq @ s2 @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq7) ).
thf(5,axiom,
neq @ s1 @ s2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq6) ).
thf(6,axiom,
~ ( neq @ s1 @ s1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq5) ).
thf(7,axiom,
neq @ s1 @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq4) ).
thf(8,axiom,
neq @ s0 @ s2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq3) ).
thf(9,axiom,
neq @ s0 @ s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq2) ).
thf(10,axiom,
~ ( neq @ s0 @ s0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq1) ).
thf(11,axiom,
! [T0: $i,T1: $i,T2: $i,T3: $i,I: $i,J: $i] :
( ~ ( p @ T0 @ T1 @ T2 @ T3 @ I )
| ~ ( neq @ T0 @ I )
| ~ ( neq @ T0 @ J )
| ~ ( neq @ T1 @ I )
| ~ ( neq @ T1 @ J )
| ~ ( neq @ T2 @ I )
| ~ ( neq @ T2 @ J )
| ~ ( neq @ T3 @ I )
| ~ ( neq @ T3 @ J )
| ( p @ T0 @ T1 @ T2 @ T3 @ J ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5) ).
thf(12,axiom,
! [T0: $i,T1: $i,T2: $i,I: $i,T4: $i,J: $i] :
( ~ ( p @ T0 @ T1 @ T2 @ I @ T4 )
| ~ ( neq @ T0 @ I )
| ~ ( neq @ T0 @ J )
| ~ ( neq @ T1 @ I )
| ~ ( neq @ T1 @ J )
| ~ ( neq @ T2 @ I )
| ~ ( neq @ T2 @ J )
| ( p @ T0 @ T1 @ T2 @ J @ T4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).
thf(13,axiom,
! [T0: $i,T1: $i,I: $i,T3: $i,T4: $i,J: $i] :
( ~ ( p @ T0 @ T1 @ I @ T3 @ T4 )
| ~ ( neq @ T0 @ I )
| ~ ( neq @ T0 @ J )
| ~ ( neq @ T1 @ I )
| ~ ( neq @ T1 @ J )
| ( p @ T0 @ T1 @ J @ T3 @ T4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3) ).
thf(14,axiom,
! [T0: $i,I: $i,T2: $i,T3: $i,T4: $i,J: $i] :
( ~ ( p @ T0 @ I @ T2 @ T3 @ T4 )
| ~ ( neq @ T0 @ I )
| ~ ( neq @ T0 @ J )
| ( p @ T0 @ J @ T2 @ T3 @ T4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).
thf(15,axiom,
! [I: $i,T1: $i,T2: $i,T3: $i,T4: $i,J: $i] :
( ~ ( p @ I @ T1 @ T2 @ T3 @ T4 )
| ( p @ J @ T1 @ T2 @ T3 @ T4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).
thf(16,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(17,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[16]) ).
thf(18,negated_conjecture,
~ ( p @ s2 @ s2 @ s2 @ s2 @ s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(19,plain,
$false = $false,
inference(unfold_def,[status(thm)],[17]) ).
thf(20,plain,
( ( p @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(21,plain,
( ( ~ ( neq @ s2 @ s2 ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(22,plain,
( ( neq @ s2 @ s1 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(23,plain,
( ( neq @ s2 @ s0 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(24,plain,
( ( neq @ s1 @ s2 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(25,plain,
( ( ~ ( neq @ s1 @ s1 ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(26,plain,
( ( neq @ s1 @ s0 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(27,plain,
( ( neq @ s0 @ s2 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(28,plain,
( ( neq @ s0 @ s1 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(29,plain,
( ( ~ ( neq @ s0 @ s0 ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(30,plain,
( ( ! [T0: $i,T1: $i,T2: $i,T3: $i,I: $i,J: $i] :
( ~ ( p @ T0 @ T1 @ T2 @ T3 @ I )
| ~ ( neq @ T0 @ I )
| ~ ( neq @ T0 @ J )
| ~ ( neq @ T1 @ I )
| ~ ( neq @ T1 @ J )
| ~ ( neq @ T2 @ I )
| ~ ( neq @ T2 @ J )
| ~ ( neq @ T3 @ I )
| ~ ( neq @ T3 @ J )
| ( p @ T0 @ T1 @ T2 @ T3 @ J ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(31,plain,
( ( ! [T0: $i,T1: $i,T2: $i,I: $i,T4: $i,J: $i] :
( ~ ( p @ T0 @ T1 @ T2 @ I @ T4 )
| ~ ( neq @ T0 @ I )
| ~ ( neq @ T0 @ J )
| ~ ( neq @ T1 @ I )
| ~ ( neq @ T1 @ J )
| ~ ( neq @ T2 @ I )
| ~ ( neq @ T2 @ J )
| ( p @ T0 @ T1 @ T2 @ J @ T4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(32,plain,
( ( ! [T0: $i,T1: $i,I: $i,T3: $i,T4: $i,J: $i] :
( ~ ( p @ T0 @ T1 @ I @ T3 @ T4 )
| ~ ( neq @ T0 @ I )
| ~ ( neq @ T0 @ J )
| ~ ( neq @ T1 @ I )
| ~ ( neq @ T1 @ J )
| ( p @ T0 @ T1 @ J @ T3 @ T4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(33,plain,
( ( ! [T0: $i,I: $i,T2: $i,T3: $i,T4: $i,J: $i] :
( ~ ( p @ T0 @ I @ T2 @ T3 @ T4 )
| ~ ( neq @ T0 @ I )
| ~ ( neq @ T0 @ J )
| ( p @ T0 @ J @ T2 @ T3 @ T4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(34,plain,
( ( ! [I: $i,T1: $i,T2: $i,T3: $i,T4: $i,J: $i] :
( ~ ( p @ I @ T1 @ T2 @ T3 @ T4 )
| ( p @ J @ T1 @ T2 @ T3 @ T4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(35,plain,
( ( ~ ( p @ s2 @ s2 @ s2 @ s2 @ s2 ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(36,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[19]) ).
thf(37,plain,
( ( ! [T0: $i,T1: $i,T2: $i,T3: $i,I: $i] :
( ~ ( p @ T0 @ T1 @ T2 @ T3 @ I )
| ~ ( neq @ T0 @ I )
| ! [J: $i] :
( ~ ( neq @ T0 @ J )
| ~ ( neq @ T1 @ I )
| ~ ( neq @ T1 @ J )
| ~ ( neq @ T2 @ I )
| ~ ( neq @ T2 @ J )
| ~ ( neq @ T3 @ I )
| ~ ( neq @ T3 @ J )
| ( p @ T0 @ T1 @ T2 @ T3 @ J ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(38,plain,
( ( ! [T0: $i,T1: $i,T2: $i,I: $i,T4: $i] :
( ~ ( p @ T0 @ T1 @ T2 @ I @ T4 )
| ~ ( neq @ T0 @ I )
| ! [J: $i] :
( ~ ( neq @ T0 @ J )
| ~ ( neq @ T1 @ I )
| ~ ( neq @ T1 @ J )
| ~ ( neq @ T2 @ I )
| ~ ( neq @ T2 @ J )
| ( p @ T0 @ T1 @ T2 @ J @ T4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(39,plain,
( ( ! [T0: $i,T1: $i,I: $i,T3: $i,T4: $i] :
( ~ ( p @ T0 @ T1 @ I @ T3 @ T4 )
| ~ ( neq @ T0 @ I )
| ! [J: $i] :
( ~ ( neq @ T0 @ J )
| ~ ( neq @ T1 @ I )
| ~ ( neq @ T1 @ J )
| ( p @ T0 @ T1 @ J @ T3 @ T4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(40,plain,
( ( ! [T0: $i,I: $i,T2: $i,T3: $i,T4: $i] :
( ~ ( p @ T0 @ I @ T2 @ T3 @ T4 )
| ~ ( neq @ T0 @ I )
| ! [J: $i] :
( ~ ( neq @ T0 @ J )
| ( p @ T0 @ J @ T2 @ T3 @ T4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(41,plain,
( ( ! [I: $i,T1: $i,T2: $i,T3: $i,T4: $i] :
( ~ ( p @ I @ T1 @ T2 @ T3 @ T4 )
| ! [J: $i] : ( p @ J @ T1 @ T2 @ T3 @ T4 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(42,plain,
( ( ~ ( p @ s2 @ s2 @ s2 @ s2 @ s2 ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(43,plain,
( ( ! [I: $i,T1: $i,T2: $i,T3: $i,T4: $i] :
( ~ ( p @ I @ T1 @ T2 @ T3 @ T4 )
| ! [J: $i] : ( p @ J @ T1 @ T2 @ T3 @ T4 ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(44,plain,
( ( ! [T0: $i,I: $i,T2: $i,T3: $i,T4: $i] :
( ~ ( p @ T0 @ I @ T2 @ T3 @ T4 )
| ~ ( neq @ T0 @ I )
| ! [J: $i] :
( ~ ( neq @ T0 @ J )
| ( p @ T0 @ J @ T2 @ T3 @ T4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(45,plain,
( ( ! [T0: $i,T1: $i,I: $i,T3: $i,T4: $i] :
( ~ ( p @ T0 @ T1 @ I @ T3 @ T4 )
| ~ ( neq @ T0 @ I )
| ! [J: $i] :
( ~ ( neq @ T0 @ J )
| ~ ( neq @ T1 @ I )
| ~ ( neq @ T1 @ J )
| ( p @ T0 @ T1 @ J @ T3 @ T4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(46,plain,
( ( ! [T0: $i,T1: $i,T2: $i,I: $i,T4: $i] :
( ~ ( p @ T0 @ T1 @ T2 @ I @ T4 )
| ~ ( neq @ T0 @ I )
| ! [J: $i] :
( ~ ( neq @ T0 @ J )
| ~ ( neq @ T1 @ I )
| ~ ( neq @ T1 @ J )
| ~ ( neq @ T2 @ I )
| ~ ( neq @ T2 @ J )
| ( p @ T0 @ T1 @ T2 @ J @ T4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(47,plain,
( ( ! [T0: $i,T1: $i,T2: $i,T3: $i,I: $i] :
( ~ ( p @ T0 @ T1 @ T2 @ T3 @ I )
| ~ ( neq @ T0 @ I )
| ! [J: $i] :
( ~ ( neq @ T0 @ J )
| ~ ( neq @ T1 @ I )
| ~ ( neq @ T1 @ J )
| ~ ( neq @ T2 @ I )
| ~ ( neq @ T2 @ J )
| ~ ( neq @ T3 @ I )
| ~ ( neq @ T3 @ J )
| ( p @ T0 @ T1 @ T2 @ T3 @ J ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(48,plain,
( ( ~ ( neq @ s0 @ s0 ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(49,plain,
( ( neq @ s0 @ s1 )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(50,plain,
( ( neq @ s0 @ s2 )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(51,plain,
( ( neq @ s1 @ s0 )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(52,plain,
( ( ~ ( neq @ s1 @ s1 ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(53,plain,
( ( neq @ s1 @ s2 )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(54,plain,
( ( neq @ s2 @ s0 )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(55,plain,
( ( neq @ s2 @ s1 )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(56,plain,
( ( ~ ( neq @ s2 @ s2 ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(57,plain,
( ( p @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(58,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(59,plain,
( ( p @ s2 @ s2 @ s2 @ s2 @ s2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(60,plain,
! [SV1: $i] :
( ( ! [SY30: $i,SY31: $i,SY32: $i,SY33: $i] :
( ~ ( p @ SV1 @ SY30 @ SY31 @ SY32 @ SY33 )
| ! [J: $i] : ( p @ J @ SY30 @ SY31 @ SY32 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(61,plain,
! [SV2: $i] :
( ( ! [SY35: $i,SY36: $i,SY37: $i,SY38: $i] :
( ~ ( p @ SV2 @ SY35 @ SY36 @ SY37 @ SY38 )
| ~ ( neq @ SV2 @ SY35 )
| ! [SY39: $i] :
( ~ ( neq @ SV2 @ SY39 )
| ( p @ SV2 @ SY39 @ SY36 @ SY37 @ SY38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(62,plain,
! [SV3: $i] :
( ( ! [SY40: $i,SY41: $i,SY42: $i,SY43: $i] :
( ~ ( p @ SV3 @ SY40 @ SY41 @ SY42 @ SY43 )
| ~ ( neq @ SV3 @ SY41 )
| ! [SY44: $i] :
( ~ ( neq @ SV3 @ SY44 )
| ~ ( neq @ SY40 @ SY41 )
| ~ ( neq @ SY40 @ SY44 )
| ( p @ SV3 @ SY40 @ SY44 @ SY42 @ SY43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(63,plain,
! [SV4: $i] :
( ( ! [SY45: $i,SY46: $i,SY47: $i,SY48: $i] :
( ~ ( p @ SV4 @ SY45 @ SY46 @ SY47 @ SY48 )
| ~ ( neq @ SV4 @ SY47 )
| ! [SY49: $i] :
( ~ ( neq @ SV4 @ SY49 )
| ~ ( neq @ SY45 @ SY47 )
| ~ ( neq @ SY45 @ SY49 )
| ~ ( neq @ SY46 @ SY47 )
| ~ ( neq @ SY46 @ SY49 )
| ( p @ SV4 @ SY45 @ SY46 @ SY49 @ SY48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(64,plain,
! [SV5: $i] :
( ( ! [SY50: $i,SY51: $i,SY52: $i,SY53: $i] :
( ~ ( p @ SV5 @ SY50 @ SY51 @ SY52 @ SY53 )
| ~ ( neq @ SV5 @ SY53 )
| ! [SY54: $i] :
( ~ ( neq @ SV5 @ SY54 )
| ~ ( neq @ SY50 @ SY53 )
| ~ ( neq @ SY50 @ SY54 )
| ~ ( neq @ SY51 @ SY53 )
| ~ ( neq @ SY51 @ SY54 )
| ~ ( neq @ SY52 @ SY53 )
| ~ ( neq @ SY52 @ SY54 )
| ( p @ SV5 @ SY50 @ SY51 @ SY52 @ SY54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(65,plain,
( ( neq @ s0 @ s0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(66,plain,
( ( neq @ s1 @ s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(67,plain,
( ( neq @ s2 @ s2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(68,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(69,plain,
! [SV6: $i,SV1: $i] :
( ( ! [SY55: $i,SY56: $i,SY57: $i] :
( ~ ( p @ SV1 @ SV6 @ SY55 @ SY56 @ SY57 )
| ! [SY58: $i] : ( p @ SY58 @ SV6 @ SY55 @ SY56 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(70,plain,
! [SV7: $i,SV2: $i] :
( ( ! [SY59: $i,SY60: $i,SY61: $i] :
( ~ ( p @ SV2 @ SV7 @ SY59 @ SY60 @ SY61 )
| ~ ( neq @ SV2 @ SV7 )
| ! [SY39: $i] :
( ~ ( neq @ SV2 @ SY39 )
| ( p @ SV2 @ SY39 @ SY59 @ SY60 @ SY61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(71,plain,
! [SV8: $i,SV3: $i] :
( ( ! [SY63: $i,SY64: $i,SY65: $i] :
( ~ ( p @ SV3 @ SV8 @ SY63 @ SY64 @ SY65 )
| ~ ( neq @ SV3 @ SY63 )
| ! [SY66: $i] :
( ~ ( neq @ SV3 @ SY66 )
| ~ ( neq @ SV8 @ SY63 )
| ~ ( neq @ SV8 @ SY66 )
| ( p @ SV3 @ SV8 @ SY66 @ SY64 @ SY65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(72,plain,
! [SV9: $i,SV4: $i] :
( ( ! [SY67: $i,SY68: $i,SY69: $i] :
( ~ ( p @ SV4 @ SV9 @ SY67 @ SY68 @ SY69 )
| ~ ( neq @ SV4 @ SY68 )
| ! [SY70: $i] :
( ~ ( neq @ SV4 @ SY70 )
| ~ ( neq @ SV9 @ SY68 )
| ~ ( neq @ SV9 @ SY70 )
| ~ ( neq @ SY67 @ SY68 )
| ~ ( neq @ SY67 @ SY70 )
| ( p @ SV4 @ SV9 @ SY67 @ SY70 @ SY69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(73,plain,
! [SV10: $i,SV5: $i] :
( ( ! [SY71: $i,SY72: $i,SY73: $i] :
( ~ ( p @ SV5 @ SV10 @ SY71 @ SY72 @ SY73 )
| ~ ( neq @ SV5 @ SY73 )
| ! [SY74: $i] :
( ~ ( neq @ SV5 @ SY74 )
| ~ ( neq @ SV10 @ SY73 )
| ~ ( neq @ SV10 @ SY74 )
| ~ ( neq @ SY71 @ SY73 )
| ~ ( neq @ SY71 @ SY74 )
| ~ ( neq @ SY72 @ SY73 )
| ~ ( neq @ SY72 @ SY74 )
| ( p @ SV5 @ SV10 @ SY71 @ SY72 @ SY74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(74,plain,
! [SV11: $i,SV6: $i,SV1: $i] :
( ( ! [SY75: $i,SY76: $i] :
( ~ ( p @ SV1 @ SV6 @ SV11 @ SY75 @ SY76 )
| ! [SY77: $i] : ( p @ SY77 @ SV6 @ SV11 @ SY75 @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV12: $i,SV7: $i,SV2: $i] :
( ( ! [SY78: $i,SY79: $i] :
( ~ ( p @ SV2 @ SV7 @ SV12 @ SY78 @ SY79 )
| ~ ( neq @ SV2 @ SV7 )
| ! [SY80: $i] :
( ~ ( neq @ SV2 @ SY80 )
| ( p @ SV2 @ SY80 @ SV12 @ SY78 @ SY79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(76,plain,
! [SV13: $i,SV8: $i,SV3: $i] :
( ( ! [SY81: $i,SY82: $i] :
( ~ ( p @ SV3 @ SV8 @ SV13 @ SY81 @ SY82 )
| ~ ( neq @ SV3 @ SV13 )
| ! [SY83: $i] :
( ~ ( neq @ SV3 @ SY83 )
| ~ ( neq @ SV8 @ SV13 )
| ~ ( neq @ SV8 @ SY83 )
| ( p @ SV3 @ SV8 @ SY83 @ SY81 @ SY82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(77,plain,
! [SV14: $i,SV9: $i,SV4: $i] :
( ( ! [SY84: $i,SY85: $i] :
( ~ ( p @ SV4 @ SV9 @ SV14 @ SY84 @ SY85 )
| ~ ( neq @ SV4 @ SY84 )
| ! [SY86: $i] :
( ~ ( neq @ SV4 @ SY86 )
| ~ ( neq @ SV9 @ SY84 )
| ~ ( neq @ SV9 @ SY86 )
| ~ ( neq @ SV14 @ SY84 )
| ~ ( neq @ SV14 @ SY86 )
| ( p @ SV4 @ SV9 @ SV14 @ SY86 @ SY85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(78,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ! [SY87: $i,SY88: $i] :
( ~ ( p @ SV5 @ SV10 @ SV15 @ SY87 @ SY88 )
| ~ ( neq @ SV5 @ SY88 )
| ! [SY89: $i] :
( ~ ( neq @ SV5 @ SY89 )
| ~ ( neq @ SV10 @ SY88 )
| ~ ( neq @ SV10 @ SY89 )
| ~ ( neq @ SV15 @ SY88 )
| ~ ( neq @ SV15 @ SY89 )
| ~ ( neq @ SY87 @ SY88 )
| ~ ( neq @ SY87 @ SY89 )
| ( p @ SV5 @ SV10 @ SV15 @ SY87 @ SY89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(79,plain,
! [SV16: $i,SV11: $i,SV6: $i,SV1: $i] :
( ( ! [SY90: $i] :
( ~ ( p @ SV1 @ SV6 @ SV11 @ SV16 @ SY90 )
| ! [SY91: $i] : ( p @ SY91 @ SV6 @ SV11 @ SV16 @ SY90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(80,plain,
! [SV17: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ! [SY92: $i] :
( ~ ( p @ SV2 @ SV7 @ SV12 @ SV17 @ SY92 )
| ~ ( neq @ SV2 @ SV7 )
| ! [SY93: $i] :
( ~ ( neq @ SV2 @ SY93 )
| ( p @ SV2 @ SY93 @ SV12 @ SV17 @ SY92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(81,plain,
! [SV18: $i,SV13: $i,SV8: $i,SV3: $i] :
( ( ! [SY94: $i] :
( ~ ( p @ SV3 @ SV8 @ SV13 @ SV18 @ SY94 )
| ~ ( neq @ SV3 @ SV13 )
| ! [SY95: $i] :
( ~ ( neq @ SV3 @ SY95 )
| ~ ( neq @ SV8 @ SV13 )
| ~ ( neq @ SV8 @ SY95 )
| ( p @ SV3 @ SV8 @ SY95 @ SV18 @ SY94 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(82,plain,
! [SV19: $i,SV14: $i,SV9: $i,SV4: $i] :
( ( ! [SY96: $i] :
( ~ ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SY96 )
| ~ ( neq @ SV4 @ SV19 )
| ! [SY97: $i] :
( ~ ( neq @ SV4 @ SY97 )
| ~ ( neq @ SV9 @ SV19 )
| ~ ( neq @ SV9 @ SY97 )
| ~ ( neq @ SV14 @ SV19 )
| ~ ( neq @ SV14 @ SY97 )
| ( p @ SV4 @ SV9 @ SV14 @ SY97 @ SY96 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(83,plain,
! [SV20: $i,SV15: $i,SV10: $i,SV5: $i] :
( ( ! [SY98: $i] :
( ~ ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SY98 )
| ~ ( neq @ SV5 @ SY98 )
| ! [SY99: $i] :
( ~ ( neq @ SV5 @ SY99 )
| ~ ( neq @ SV10 @ SY98 )
| ~ ( neq @ SV10 @ SY99 )
| ~ ( neq @ SV15 @ SY98 )
| ~ ( neq @ SV15 @ SY99 )
| ~ ( neq @ SV20 @ SY98 )
| ~ ( neq @ SV20 @ SY99 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SY99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(84,plain,
! [SV21: $i,SV16: $i,SV11: $i,SV6: $i,SV1: $i] :
( ( ~ ( p @ SV1 @ SV6 @ SV11 @ SV16 @ SV21 )
| ! [SY100: $i] : ( p @ SY100 @ SV6 @ SV11 @ SV16 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(85,plain,
! [SV22: $i,SV17: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ~ ( p @ SV2 @ SV7 @ SV12 @ SV17 @ SV22 )
| ~ ( neq @ SV2 @ SV7 )
| ! [SY101: $i] :
( ~ ( neq @ SV2 @ SY101 )
| ( p @ SV2 @ SY101 @ SV12 @ SV17 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(86,plain,
! [SV23: $i,SV18: $i,SV13: $i,SV8: $i,SV3: $i] :
( ( ~ ( p @ SV3 @ SV8 @ SV13 @ SV18 @ SV23 )
| ~ ( neq @ SV3 @ SV13 )
| ! [SY102: $i] :
( ~ ( neq @ SV3 @ SY102 )
| ~ ( neq @ SV8 @ SV13 )
| ~ ( neq @ SV8 @ SY102 )
| ( p @ SV3 @ SV8 @ SY102 @ SV18 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(87,plain,
! [SV24: $i,SV19: $i,SV14: $i,SV9: $i,SV4: $i] :
( ( ~ ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
| ~ ( neq @ SV4 @ SV19 )
| ! [SY103: $i] :
( ~ ( neq @ SV4 @ SY103 )
| ~ ( neq @ SV9 @ SV19 )
| ~ ( neq @ SV9 @ SY103 )
| ~ ( neq @ SV14 @ SV19 )
| ~ ( neq @ SV14 @ SY103 )
| ( p @ SV4 @ SV9 @ SV14 @ SY103 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(88,plain,
! [SV25: $i,SV20: $i,SV15: $i,SV10: $i,SV5: $i] :
( ( ~ ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
| ~ ( neq @ SV5 @ SV25 )
| ! [SY104: $i] :
( ~ ( neq @ SV5 @ SY104 )
| ~ ( neq @ SV10 @ SV25 )
| ~ ( neq @ SV10 @ SY104 )
| ~ ( neq @ SV15 @ SV25 )
| ~ ( neq @ SV15 @ SY104 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SY104 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(89,plain,
! [SV21: $i,SV16: $i,SV11: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( p @ SV1 @ SV6 @ SV11 @ SV16 @ SV21 ) )
= $true )
| ( ( ! [SY100: $i] : ( p @ SY100 @ SV6 @ SV11 @ SV16 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(90,plain,
! [SV22: $i,SV17: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( p @ SV2 @ SV7 @ SV12 @ SV17 @ SV22 ) )
= $true )
| ( ( ~ ( neq @ SV2 @ SV7 )
| ! [SY101: $i] :
( ~ ( neq @ SV2 @ SY101 )
| ( p @ SV2 @ SY101 @ SV12 @ SV17 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(91,plain,
! [SV23: $i,SV18: $i,SV13: $i,SV8: $i,SV3: $i] :
( ( ( ~ ( p @ SV3 @ SV8 @ SV13 @ SV18 @ SV23 ) )
= $true )
| ( ( ~ ( neq @ SV3 @ SV13 )
| ! [SY102: $i] :
( ~ ( neq @ SV3 @ SY102 )
| ~ ( neq @ SV8 @ SV13 )
| ~ ( neq @ SV8 @ SY102 )
| ( p @ SV3 @ SV8 @ SY102 @ SV18 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(92,plain,
! [SV24: $i,SV19: $i,SV14: $i,SV9: $i,SV4: $i] :
( ( ( ~ ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 ) )
= $true )
| ( ( ~ ( neq @ SV4 @ SV19 )
| ! [SY103: $i] :
( ~ ( neq @ SV4 @ SY103 )
| ~ ( neq @ SV9 @ SV19 )
| ~ ( neq @ SV9 @ SY103 )
| ~ ( neq @ SV14 @ SV19 )
| ~ ( neq @ SV14 @ SY103 )
| ( p @ SV4 @ SV9 @ SV14 @ SY103 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV25: $i,SV20: $i,SV15: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 ) )
= $true )
| ( ( ~ ( neq @ SV5 @ SV25 )
| ! [SY104: $i] :
( ~ ( neq @ SV5 @ SY104 )
| ~ ( neq @ SV10 @ SV25 )
| ~ ( neq @ SV10 @ SY104 )
| ~ ( neq @ SV15 @ SV25 )
| ~ ( neq @ SV15 @ SY104 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SY104 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SY104 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(94,plain,
! [SV21: $i,SV16: $i,SV11: $i,SV6: $i,SV1: $i] :
( ( ( p @ SV1 @ SV6 @ SV11 @ SV16 @ SV21 )
= $false )
| ( ( ! [SY100: $i] : ( p @ SY100 @ SV6 @ SV11 @ SV16 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(95,plain,
! [SV22: $i,SV17: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ( p @ SV2 @ SV7 @ SV12 @ SV17 @ SV22 )
= $false )
| ( ( ~ ( neq @ SV2 @ SV7 )
| ! [SY101: $i] :
( ~ ( neq @ SV2 @ SY101 )
| ( p @ SV2 @ SY101 @ SV12 @ SV17 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(96,plain,
! [SV23: $i,SV18: $i,SV13: $i,SV8: $i,SV3: $i] :
( ( ( p @ SV3 @ SV8 @ SV13 @ SV18 @ SV23 )
= $false )
| ( ( ~ ( neq @ SV3 @ SV13 )
| ! [SY102: $i] :
( ~ ( neq @ SV3 @ SY102 )
| ~ ( neq @ SV8 @ SV13 )
| ~ ( neq @ SV8 @ SY102 )
| ( p @ SV3 @ SV8 @ SY102 @ SV18 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(97,plain,
! [SV24: $i,SV19: $i,SV14: $i,SV9: $i,SV4: $i] :
( ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false )
| ( ( ~ ( neq @ SV4 @ SV19 )
| ! [SY103: $i] :
( ~ ( neq @ SV4 @ SY103 )
| ~ ( neq @ SV9 @ SV19 )
| ~ ( neq @ SV9 @ SY103 )
| ~ ( neq @ SV14 @ SV19 )
| ~ ( neq @ SV14 @ SY103 )
| ( p @ SV4 @ SV9 @ SV14 @ SY103 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(98,plain,
! [SV25: $i,SV20: $i,SV15: $i,SV10: $i,SV5: $i] :
( ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false )
| ( ( ~ ( neq @ SV5 @ SV25 )
| ! [SY104: $i] :
( ~ ( neq @ SV5 @ SY104 )
| ~ ( neq @ SV10 @ SV25 )
| ~ ( neq @ SV10 @ SY104 )
| ~ ( neq @ SV15 @ SV25 )
| ~ ( neq @ SV15 @ SY104 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SY104 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SY104 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(99,plain,
! [SV1: $i,SV21: $i,SV16: $i,SV11: $i,SV6: $i,SV26: $i] :
( ( ( p @ SV26 @ SV6 @ SV11 @ SV16 @ SV21 )
= $true )
| ( ( p @ SV1 @ SV6 @ SV11 @ SV16 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(100,plain,
! [SV22: $i,SV17: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( neq @ SV2 @ SV7 ) )
= $true )
| ( ( ! [SY101: $i] :
( ~ ( neq @ SV2 @ SY101 )
| ( p @ SV2 @ SY101 @ SV12 @ SV17 @ SV22 ) ) )
= $true )
| ( ( p @ SV2 @ SV7 @ SV12 @ SV17 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(101,plain,
! [SV23: $i,SV18: $i,SV8: $i,SV13: $i,SV3: $i] :
( ( ( ~ ( neq @ SV3 @ SV13 ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( neq @ SV3 @ SY102 )
| ~ ( neq @ SV8 @ SV13 )
| ~ ( neq @ SV8 @ SY102 )
| ( p @ SV3 @ SV8 @ SY102 @ SV18 @ SV23 ) ) )
= $true )
| ( ( p @ SV3 @ SV8 @ SV13 @ SV18 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(102,plain,
! [SV24: $i,SV14: $i,SV9: $i,SV19: $i,SV4: $i] :
( ( ( ~ ( neq @ SV4 @ SV19 ) )
= $true )
| ( ( ! [SY103: $i] :
( ~ ( neq @ SV4 @ SY103 )
| ~ ( neq @ SV9 @ SV19 )
| ~ ( neq @ SV9 @ SY103 )
| ~ ( neq @ SV14 @ SV19 )
| ~ ( neq @ SV14 @ SY103 )
| ( p @ SV4 @ SV9 @ SV14 @ SY103 @ SV24 ) ) )
= $true )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(103,plain,
! [SV20: $i,SV15: $i,SV10: $i,SV25: $i,SV5: $i] :
( ( ( ~ ( neq @ SV5 @ SV25 ) )
= $true )
| ( ( ! [SY104: $i] :
( ~ ( neq @ SV5 @ SY104 )
| ~ ( neq @ SV10 @ SV25 )
| ~ ( neq @ SV10 @ SY104 )
| ~ ( neq @ SV15 @ SV25 )
| ~ ( neq @ SV15 @ SY104 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SY104 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SY104 ) ) )
= $true )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(104,plain,
! [SV22: $i,SV17: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ( neq @ SV2 @ SV7 )
= $false )
| ( ( ! [SY101: $i] :
( ~ ( neq @ SV2 @ SY101 )
| ( p @ SV2 @ SY101 @ SV12 @ SV17 @ SV22 ) ) )
= $true )
| ( ( p @ SV2 @ SV7 @ SV12 @ SV17 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(105,plain,
! [SV23: $i,SV18: $i,SV8: $i,SV13: $i,SV3: $i] :
( ( ( neq @ SV3 @ SV13 )
= $false )
| ( ( ! [SY102: $i] :
( ~ ( neq @ SV3 @ SY102 )
| ~ ( neq @ SV8 @ SV13 )
| ~ ( neq @ SV8 @ SY102 )
| ( p @ SV3 @ SV8 @ SY102 @ SV18 @ SV23 ) ) )
= $true )
| ( ( p @ SV3 @ SV8 @ SV13 @ SV18 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(106,plain,
! [SV24: $i,SV14: $i,SV9: $i,SV19: $i,SV4: $i] :
( ( ( neq @ SV4 @ SV19 )
= $false )
| ( ( ! [SY103: $i] :
( ~ ( neq @ SV4 @ SY103 )
| ~ ( neq @ SV9 @ SV19 )
| ~ ( neq @ SV9 @ SY103 )
| ~ ( neq @ SV14 @ SV19 )
| ~ ( neq @ SV14 @ SY103 )
| ( p @ SV4 @ SV9 @ SV14 @ SY103 @ SV24 ) ) )
= $true )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(107,plain,
! [SV20: $i,SV15: $i,SV10: $i,SV25: $i,SV5: $i] :
( ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( ! [SY104: $i] :
( ~ ( neq @ SV5 @ SY104 )
| ~ ( neq @ SV10 @ SV25 )
| ~ ( neq @ SV10 @ SY104 )
| ~ ( neq @ SV15 @ SV25 )
| ~ ( neq @ SV15 @ SY104 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SY104 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SY104 ) ) )
= $true )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(108,plain,
! [SV7: $i,SV22: $i,SV17: $i,SV12: $i,SV27: $i,SV2: $i] :
( ( ( ~ ( neq @ SV2 @ SV27 )
| ( p @ SV2 @ SV27 @ SV12 @ SV17 @ SV22 ) )
= $true )
| ( ( neq @ SV2 @ SV7 )
= $false )
| ( ( p @ SV2 @ SV7 @ SV12 @ SV17 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(109,plain,
! [SV23: $i,SV18: $i,SV13: $i,SV8: $i,SV28: $i,SV3: $i] :
( ( ( ~ ( neq @ SV3 @ SV28 )
| ~ ( neq @ SV8 @ SV13 )
| ~ ( neq @ SV8 @ SV28 )
| ( p @ SV3 @ SV8 @ SV28 @ SV18 @ SV23 ) )
= $true )
| ( ( neq @ SV3 @ SV13 )
= $false )
| ( ( p @ SV3 @ SV8 @ SV13 @ SV18 @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(110,plain,
! [SV24: $i,SV14: $i,SV19: $i,SV9: $i,SV29: $i,SV4: $i] :
( ( ( ~ ( neq @ SV4 @ SV29 )
| ~ ( neq @ SV9 @ SV19 )
| ~ ( neq @ SV9 @ SV29 )
| ~ ( neq @ SV14 @ SV19 )
| ~ ( neq @ SV14 @ SV29 )
| ( p @ SV4 @ SV9 @ SV14 @ SV29 @ SV24 ) )
= $true )
| ( ( neq @ SV4 @ SV19 )
= $false )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(111,plain,
! [SV20: $i,SV15: $i,SV25: $i,SV10: $i,SV30: $i,SV5: $i] :
( ( ( ~ ( neq @ SV5 @ SV30 )
| ~ ( neq @ SV10 @ SV25 )
| ~ ( neq @ SV10 @ SV30 )
| ~ ( neq @ SV15 @ SV25 )
| ~ ( neq @ SV15 @ SV30 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SV30 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 ) )
= $true )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(112,plain,
! [SV7: $i,SV22: $i,SV17: $i,SV12: $i,SV27: $i,SV2: $i] :
( ( ( ~ ( neq @ SV2 @ SV27 ) )
= $true )
| ( ( p @ SV2 @ SV27 @ SV12 @ SV17 @ SV22 )
= $true )
| ( ( neq @ SV2 @ SV7 )
= $false )
| ( ( p @ SV2 @ SV7 @ SV12 @ SV17 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV23: $i,SV18: $i,SV13: $i,SV8: $i,SV28: $i,SV3: $i] :
( ( ( ~ ( neq @ SV3 @ SV28 ) )
= $true )
| ( ( ~ ( neq @ SV8 @ SV13 )
| ~ ( neq @ SV8 @ SV28 )
| ( p @ SV3 @ SV8 @ SV28 @ SV18 @ SV23 ) )
= $true )
| ( ( neq @ SV3 @ SV13 )
= $false )
| ( ( p @ SV3 @ SV8 @ SV13 @ SV18 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(114,plain,
! [SV24: $i,SV14: $i,SV19: $i,SV9: $i,SV29: $i,SV4: $i] :
( ( ( ~ ( neq @ SV4 @ SV29 ) )
= $true )
| ( ( ~ ( neq @ SV9 @ SV19 )
| ~ ( neq @ SV9 @ SV29 )
| ~ ( neq @ SV14 @ SV19 )
| ~ ( neq @ SV14 @ SV29 )
| ( p @ SV4 @ SV9 @ SV14 @ SV29 @ SV24 ) )
= $true )
| ( ( neq @ SV4 @ SV19 )
= $false )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(115,plain,
! [SV20: $i,SV15: $i,SV25: $i,SV10: $i,SV30: $i,SV5: $i] :
( ( ( ~ ( neq @ SV5 @ SV30 ) )
= $true )
| ( ( ~ ( neq @ SV10 @ SV25 )
| ~ ( neq @ SV10 @ SV30 )
| ~ ( neq @ SV15 @ SV25 )
| ~ ( neq @ SV15 @ SV30 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SV30 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 ) )
= $true )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(116,plain,
! [SV7: $i,SV22: $i,SV17: $i,SV12: $i,SV27: $i,SV2: $i] :
( ( ( neq @ SV2 @ SV27 )
= $false )
| ( ( p @ SV2 @ SV27 @ SV12 @ SV17 @ SV22 )
= $true )
| ( ( neq @ SV2 @ SV7 )
= $false )
| ( ( p @ SV2 @ SV7 @ SV12 @ SV17 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(117,plain,
! [SV23: $i,SV18: $i,SV13: $i,SV8: $i,SV28: $i,SV3: $i] :
( ( ( neq @ SV3 @ SV28 )
= $false )
| ( ( ~ ( neq @ SV8 @ SV13 )
| ~ ( neq @ SV8 @ SV28 )
| ( p @ SV3 @ SV8 @ SV28 @ SV18 @ SV23 ) )
= $true )
| ( ( neq @ SV3 @ SV13 )
= $false )
| ( ( p @ SV3 @ SV8 @ SV13 @ SV18 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(118,plain,
! [SV24: $i,SV14: $i,SV19: $i,SV9: $i,SV29: $i,SV4: $i] :
( ( ( neq @ SV4 @ SV29 )
= $false )
| ( ( ~ ( neq @ SV9 @ SV19 )
| ~ ( neq @ SV9 @ SV29 )
| ~ ( neq @ SV14 @ SV19 )
| ~ ( neq @ SV14 @ SV29 )
| ( p @ SV4 @ SV9 @ SV14 @ SV29 @ SV24 ) )
= $true )
| ( ( neq @ SV4 @ SV19 )
= $false )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(119,plain,
! [SV20: $i,SV15: $i,SV25: $i,SV10: $i,SV30: $i,SV5: $i] :
( ( ( neq @ SV5 @ SV30 )
= $false )
| ( ( ~ ( neq @ SV10 @ SV25 )
| ~ ( neq @ SV10 @ SV30 )
| ~ ( neq @ SV15 @ SV25 )
| ~ ( neq @ SV15 @ SV30 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SV30 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 ) )
= $true )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(120,plain,
! [SV23: $i,SV18: $i,SV3: $i,SV28: $i,SV13: $i,SV8: $i] :
( ( ( ~ ( neq @ SV8 @ SV13 ) )
= $true )
| ( ( ~ ( neq @ SV8 @ SV28 )
| ( p @ SV3 @ SV8 @ SV28 @ SV18 @ SV23 ) )
= $true )
| ( ( neq @ SV3 @ SV28 )
= $false )
| ( ( neq @ SV3 @ SV13 )
= $false )
| ( ( p @ SV3 @ SV8 @ SV13 @ SV18 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(121,plain,
! [SV24: $i,SV4: $i,SV14: $i,SV29: $i,SV19: $i,SV9: $i] :
( ( ( ~ ( neq @ SV9 @ SV19 ) )
= $true )
| ( ( ~ ( neq @ SV9 @ SV29 )
| ~ ( neq @ SV14 @ SV19 )
| ~ ( neq @ SV14 @ SV29 )
| ( p @ SV4 @ SV9 @ SV14 @ SV29 @ SV24 ) )
= $true )
| ( ( neq @ SV4 @ SV29 )
= $false )
| ( ( neq @ SV4 @ SV19 )
= $false )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(122,plain,
! [SV5: $i,SV20: $i,SV15: $i,SV30: $i,SV25: $i,SV10: $i] :
( ( ( ~ ( neq @ SV10 @ SV25 ) )
= $true )
| ( ( ~ ( neq @ SV10 @ SV30 )
| ~ ( neq @ SV15 @ SV25 )
| ~ ( neq @ SV15 @ SV30 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SV30 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 ) )
= $true )
| ( ( neq @ SV5 @ SV30 )
= $false )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(123,plain,
! [SV23: $i,SV18: $i,SV3: $i,SV28: $i,SV13: $i,SV8: $i] :
( ( ( neq @ SV8 @ SV13 )
= $false )
| ( ( ~ ( neq @ SV8 @ SV28 )
| ( p @ SV3 @ SV8 @ SV28 @ SV18 @ SV23 ) )
= $true )
| ( ( neq @ SV3 @ SV28 )
= $false )
| ( ( neq @ SV3 @ SV13 )
= $false )
| ( ( p @ SV3 @ SV8 @ SV13 @ SV18 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(124,plain,
! [SV24: $i,SV4: $i,SV14: $i,SV29: $i,SV19: $i,SV9: $i] :
( ( ( neq @ SV9 @ SV19 )
= $false )
| ( ( ~ ( neq @ SV9 @ SV29 )
| ~ ( neq @ SV14 @ SV19 )
| ~ ( neq @ SV14 @ SV29 )
| ( p @ SV4 @ SV9 @ SV14 @ SV29 @ SV24 ) )
= $true )
| ( ( neq @ SV4 @ SV29 )
= $false )
| ( ( neq @ SV4 @ SV19 )
= $false )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(125,plain,
! [SV5: $i,SV20: $i,SV15: $i,SV30: $i,SV25: $i,SV10: $i] :
( ( ( neq @ SV10 @ SV25 )
= $false )
| ( ( ~ ( neq @ SV10 @ SV30 )
| ~ ( neq @ SV15 @ SV25 )
| ~ ( neq @ SV15 @ SV30 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SV30 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 ) )
= $true )
| ( ( neq @ SV5 @ SV30 )
= $false )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(126,plain,
! [SV13: $i,SV23: $i,SV18: $i,SV3: $i,SV28: $i,SV8: $i] :
( ( ( ~ ( neq @ SV8 @ SV28 ) )
= $true )
| ( ( p @ SV3 @ SV8 @ SV28 @ SV18 @ SV23 )
= $true )
| ( ( neq @ SV8 @ SV13 )
= $false )
| ( ( neq @ SV3 @ SV28 )
= $false )
| ( ( neq @ SV3 @ SV13 )
= $false )
| ( ( p @ SV3 @ SV8 @ SV13 @ SV18 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(127,plain,
! [SV24: $i,SV4: $i,SV19: $i,SV14: $i,SV29: $i,SV9: $i] :
( ( ( ~ ( neq @ SV9 @ SV29 ) )
= $true )
| ( ( ~ ( neq @ SV14 @ SV19 )
| ~ ( neq @ SV14 @ SV29 )
| ( p @ SV4 @ SV9 @ SV14 @ SV29 @ SV24 ) )
= $true )
| ( ( neq @ SV9 @ SV19 )
= $false )
| ( ( neq @ SV4 @ SV29 )
= $false )
| ( ( neq @ SV4 @ SV19 )
= $false )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(128,plain,
! [SV5: $i,SV20: $i,SV25: $i,SV15: $i,SV30: $i,SV10: $i] :
( ( ( ~ ( neq @ SV10 @ SV30 ) )
= $true )
| ( ( ~ ( neq @ SV15 @ SV25 )
| ~ ( neq @ SV15 @ SV30 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SV30 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 ) )
= $true )
| ( ( neq @ SV10 @ SV25 )
= $false )
| ( ( neq @ SV5 @ SV30 )
= $false )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(129,plain,
! [SV13: $i,SV23: $i,SV18: $i,SV3: $i,SV28: $i,SV8: $i] :
( ( ( neq @ SV8 @ SV28 )
= $false )
| ( ( p @ SV3 @ SV8 @ SV28 @ SV18 @ SV23 )
= $true )
| ( ( neq @ SV8 @ SV13 )
= $false )
| ( ( neq @ SV3 @ SV28 )
= $false )
| ( ( neq @ SV3 @ SV13 )
= $false )
| ( ( p @ SV3 @ SV8 @ SV13 @ SV18 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(130,plain,
! [SV24: $i,SV4: $i,SV19: $i,SV14: $i,SV29: $i,SV9: $i] :
( ( ( neq @ SV9 @ SV29 )
= $false )
| ( ( ~ ( neq @ SV14 @ SV19 )
| ~ ( neq @ SV14 @ SV29 )
| ( p @ SV4 @ SV9 @ SV14 @ SV29 @ SV24 ) )
= $true )
| ( ( neq @ SV9 @ SV19 )
= $false )
| ( ( neq @ SV4 @ SV29 )
= $false )
| ( ( neq @ SV4 @ SV19 )
= $false )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(131,plain,
! [SV5: $i,SV20: $i,SV25: $i,SV15: $i,SV30: $i,SV10: $i] :
( ( ( neq @ SV10 @ SV30 )
= $false )
| ( ( ~ ( neq @ SV15 @ SV25 )
| ~ ( neq @ SV15 @ SV30 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SV30 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 ) )
= $true )
| ( ( neq @ SV10 @ SV25 )
= $false )
| ( ( neq @ SV5 @ SV30 )
= $false )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(132,plain,
! [SV24: $i,SV9: $i,SV4: $i,SV29: $i,SV19: $i,SV14: $i] :
( ( ( ~ ( neq @ SV14 @ SV19 ) )
= $true )
| ( ( ~ ( neq @ SV14 @ SV29 )
| ( p @ SV4 @ SV9 @ SV14 @ SV29 @ SV24 ) )
= $true )
| ( ( neq @ SV9 @ SV29 )
= $false )
| ( ( neq @ SV9 @ SV19 )
= $false )
| ( ( neq @ SV4 @ SV29 )
= $false )
| ( ( neq @ SV4 @ SV19 )
= $false )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(133,plain,
! [SV10: $i,SV5: $i,SV20: $i,SV30: $i,SV25: $i,SV15: $i] :
( ( ( ~ ( neq @ SV15 @ SV25 ) )
= $true )
| ( ( ~ ( neq @ SV15 @ SV30 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SV30 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 ) )
= $true )
| ( ( neq @ SV10 @ SV30 )
= $false )
| ( ( neq @ SV10 @ SV25 )
= $false )
| ( ( neq @ SV5 @ SV30 )
= $false )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(134,plain,
! [SV24: $i,SV9: $i,SV4: $i,SV29: $i,SV19: $i,SV14: $i] :
( ( ( neq @ SV14 @ SV19 )
= $false )
| ( ( ~ ( neq @ SV14 @ SV29 )
| ( p @ SV4 @ SV9 @ SV14 @ SV29 @ SV24 ) )
= $true )
| ( ( neq @ SV9 @ SV29 )
= $false )
| ( ( neq @ SV9 @ SV19 )
= $false )
| ( ( neq @ SV4 @ SV29 )
= $false )
| ( ( neq @ SV4 @ SV19 )
= $false )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(135,plain,
! [SV10: $i,SV5: $i,SV20: $i,SV30: $i,SV25: $i,SV15: $i] :
( ( ( neq @ SV15 @ SV25 )
= $false )
| ( ( ~ ( neq @ SV15 @ SV30 )
| ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SV30 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 ) )
= $true )
| ( ( neq @ SV10 @ SV30 )
= $false )
| ( ( neq @ SV10 @ SV25 )
= $false )
| ( ( neq @ SV5 @ SV30 )
= $false )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(136,plain,
! [SV19: $i,SV24: $i,SV9: $i,SV4: $i,SV29: $i,SV14: $i] :
( ( ( ~ ( neq @ SV14 @ SV29 ) )
= $true )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV29 @ SV24 )
= $true )
| ( ( neq @ SV14 @ SV19 )
= $false )
| ( ( neq @ SV9 @ SV29 )
= $false )
| ( ( neq @ SV9 @ SV19 )
= $false )
| ( ( neq @ SV4 @ SV29 )
= $false )
| ( ( neq @ SV4 @ SV19 )
= $false )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(137,plain,
! [SV10: $i,SV5: $i,SV25: $i,SV20: $i,SV30: $i,SV15: $i] :
( ( ( ~ ( neq @ SV15 @ SV30 ) )
= $true )
| ( ( ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SV30 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 ) )
= $true )
| ( ( neq @ SV15 @ SV25 )
= $false )
| ( ( neq @ SV10 @ SV30 )
= $false )
| ( ( neq @ SV10 @ SV25 )
= $false )
| ( ( neq @ SV5 @ SV30 )
= $false )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(138,plain,
! [SV19: $i,SV24: $i,SV9: $i,SV4: $i,SV29: $i,SV14: $i] :
( ( ( neq @ SV14 @ SV29 )
= $false )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV29 @ SV24 )
= $true )
| ( ( neq @ SV14 @ SV19 )
= $false )
| ( ( neq @ SV9 @ SV29 )
= $false )
| ( ( neq @ SV9 @ SV19 )
= $false )
| ( ( neq @ SV4 @ SV29 )
= $false )
| ( ( neq @ SV4 @ SV19 )
= $false )
| ( ( p @ SV4 @ SV9 @ SV14 @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(139,plain,
! [SV10: $i,SV5: $i,SV25: $i,SV20: $i,SV30: $i,SV15: $i] :
( ( ( neq @ SV15 @ SV30 )
= $false )
| ( ( ~ ( neq @ SV20 @ SV25 )
| ~ ( neq @ SV20 @ SV30 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 ) )
= $true )
| ( ( neq @ SV15 @ SV25 )
= $false )
| ( ( neq @ SV10 @ SV30 )
= $false )
| ( ( neq @ SV10 @ SV25 )
= $false )
| ( ( neq @ SV5 @ SV30 )
= $false )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(140,plain,
! [SV15: $i,SV10: $i,SV5: $i,SV30: $i,SV25: $i,SV20: $i] :
( ( ( ~ ( neq @ SV20 @ SV25 ) )
= $true )
| ( ( ~ ( neq @ SV20 @ SV30 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 ) )
= $true )
| ( ( neq @ SV15 @ SV30 )
= $false )
| ( ( neq @ SV15 @ SV25 )
= $false )
| ( ( neq @ SV10 @ SV30 )
= $false )
| ( ( neq @ SV10 @ SV25 )
= $false )
| ( ( neq @ SV5 @ SV30 )
= $false )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(141,plain,
! [SV15: $i,SV10: $i,SV5: $i,SV30: $i,SV25: $i,SV20: $i] :
( ( ( neq @ SV20 @ SV25 )
= $false )
| ( ( ~ ( neq @ SV20 @ SV30 )
| ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 ) )
= $true )
| ( ( neq @ SV15 @ SV30 )
= $false )
| ( ( neq @ SV15 @ SV25 )
= $false )
| ( ( neq @ SV10 @ SV30 )
= $false )
| ( ( neq @ SV10 @ SV25 )
= $false )
| ( ( neq @ SV5 @ SV30 )
= $false )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(142,plain,
! [SV25: $i,SV15: $i,SV10: $i,SV5: $i,SV30: $i,SV20: $i] :
( ( ( ~ ( neq @ SV20 @ SV30 ) )
= $true )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 )
= $true )
| ( ( neq @ SV20 @ SV25 )
= $false )
| ( ( neq @ SV15 @ SV30 )
= $false )
| ( ( neq @ SV15 @ SV25 )
= $false )
| ( ( neq @ SV10 @ SV30 )
= $false )
| ( ( neq @ SV10 @ SV25 )
= $false )
| ( ( neq @ SV5 @ SV30 )
= $false )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(143,plain,
! [SV25: $i,SV15: $i,SV10: $i,SV5: $i,SV30: $i,SV20: $i] :
( ( ( neq @ SV20 @ SV30 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV30 )
= $true )
| ( ( neq @ SV20 @ SV25 )
= $false )
| ( ( neq @ SV15 @ SV30 )
= $false )
| ( ( neq @ SV15 @ SV25 )
= $false )
| ( ( neq @ SV10 @ SV30 )
= $false )
| ( ( neq @ SV10 @ SV25 )
= $false )
| ( ( neq @ SV5 @ SV30 )
= $false )
| ( ( neq @ SV5 @ SV25 )
= $false )
| ( ( p @ SV5 @ SV10 @ SV15 @ SV20 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(144,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[49,143,138,129,116,99,68,67,66,65,59,57,55,54,53,51,50]) ).
thf(145,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : PUZ056-2.005 : TPTP v8.1.0. Released v3.5.0.
% 0.00/0.08 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Sat May 28 22:53:26 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.07/0.30
% 0.07/0.30 No.of.Axioms: 16
% 0.07/0.30
% 0.07/0.30 Length.of.Defs: 0
% 0.07/0.30
% 0.07/0.30 Contains.Choice.Funs: false
% 0.10/0.33 (rf:0,axioms:16,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:18,loop_count:0,foatp_calls:0,translation:fof_full)........
% 2.22/2.46
% 2.22/2.46 ********************************
% 2.22/2.46 * All subproblems solved! *
% 2.22/2.46 ********************************
% 2.22/2.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:16,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:144,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.28/2.47
% 2.28/2.47 %**** Beginning of derivation protocol ****
% 2.28/2.47 % SZS output start CNFRefutation
% See solution above
% 2.28/2.47
% 2.28/2.47 %**** End of derivation protocol ****
% 2.28/2.47 %**** no. of clauses in derivation: 145 ****
% 2.28/2.47 %**** clause counter: 144 ****
% 2.28/2.47
% 2.28/2.47 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:16,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:144,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------