TSTP Solution File: GRP247-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : GRP247-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : Sat Jul 16 10:17:11 EDT 2022
% Result : Unsatisfiable 79.03s 79.27s
% Output : CNFRefutation 79.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 52
% Syntax : Number of formulae : 547 ( 95 unt; 12 typ; 0 def)
% Number of atoms : 4104 (2959 equ; 0 cnn)
% Maximal formula atoms : 12 ( 7 avg)
% Number of connectives : 4197 ( 425 ~;1139 |; 0 &;2633 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 12 con; 0-2 aty)
% Number of variables : 224 ( 0 ^ 224 !; 0 ?; 224 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_identity,type,
identity: $i ).
thf(tp_inverse,type,
inverse: $i > $i ).
thf(tp_multiply,type,
multiply: $i > $i > $i ).
thf(tp_sk_c1,type,
sk_c1: $i ).
thf(tp_sk_c2,type,
sk_c2: $i ).
thf(tp_sk_c3,type,
sk_c3: $i ).
thf(tp_sk_c4,type,
sk_c4: $i ).
thf(tp_sk_c5,type,
sk_c5: $i ).
thf(tp_sk_c6,type,
sk_c6: $i ).
thf(tp_sk_c7,type,
sk_c7: $i ).
thf(tp_sk_c8,type,
sk_c8: $i ).
thf(tp_sk_c9,type,
sk_c9: $i ).
thf(1,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( multiply @ ( multiply @ X @ Y ) @ Z )
= ( multiply @ X @ ( multiply @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
thf(2,axiom,
! [X: $i] :
( ( multiply @ ( inverse @ X ) @ X )
= identity ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
thf(3,axiom,
! [X: $i] :
( ( multiply @ identity @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
thf(6,negated_conjecture,
! [X4: $i,X5: $i,X6: $i,X1: $i,X2: $i,X3: $i] :
( ( ( multiply @ X4 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ X4 )
!= sk_c9 )
| ( ( multiply @ X5 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X5 )
!= sk_c8 )
| ( ( inverse @ X6 )
!= sk_c9 )
| ( ( multiply @ X6 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ X1 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ X1 )
!= sk_c9 )
| ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
thf(7,negated_conjecture,
( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
thf(8,negated_conjecture,
( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
thf(9,negated_conjecture,
( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
thf(10,negated_conjecture,
( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
thf(11,negated_conjecture,
( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
thf(12,negated_conjecture,
( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
thf(13,negated_conjecture,
( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
thf(14,negated_conjecture,
( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
thf(15,negated_conjecture,
( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
thf(16,negated_conjecture,
( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
thf(17,negated_conjecture,
( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
thf(18,negated_conjecture,
( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
thf(19,negated_conjecture,
( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
thf(20,negated_conjecture,
( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
thf(21,negated_conjecture,
( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
thf(22,negated_conjecture,
( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
thf(23,negated_conjecture,
( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
thf(24,negated_conjecture,
( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
thf(25,negated_conjecture,
( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
thf(26,negated_conjecture,
( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
thf(27,negated_conjecture,
( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
thf(28,negated_conjecture,
( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
thf(29,negated_conjecture,
( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
thf(30,negated_conjecture,
( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
thf(31,negated_conjecture,
( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
thf(32,negated_conjecture,
( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
thf(33,negated_conjecture,
( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
thf(34,negated_conjecture,
( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
thf(35,negated_conjecture,
( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
thf(36,negated_conjecture,
( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
thf(37,negated_conjecture,
( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
thf(38,negated_conjecture,
( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
thf(39,negated_conjecture,
( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
thf(40,negated_conjecture,
( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
thf(41,negated_conjecture,
( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
thf(42,negated_conjecture,
( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
thf(44,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( multiply @ ( multiply @ X @ Y ) @ Z )
= ( multiply @ X @ ( multiply @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(45,plain,
( ( ! [X: $i] :
( ( multiply @ ( inverse @ X ) @ X )
= identity ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(46,plain,
( ( ! [X: $i] :
( ( multiply @ identity @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(47,plain,
( ( ! [X4: $i,X5: $i,X6: $i,X1: $i,X2: $i,X3: $i] :
( ( ( multiply @ X4 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ X4 )
!= sk_c9 )
| ( ( multiply @ X5 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X5 )
!= sk_c8 )
| ( ( inverse @ X6 )
!= sk_c9 )
| ( ( multiply @ X6 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ X1 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ X1 )
!= sk_c9 )
| ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(48,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(49,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(50,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(51,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(52,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(53,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(54,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(55,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(56,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(57,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(58,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(59,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(60,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(61,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(62,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(63,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(64,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(65,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(66,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(67,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(68,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(69,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(70,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(71,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(72,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(73,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(74,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(75,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(76,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(77,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(78,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(79,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(80,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(81,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(82,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(83,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(85,plain,
( ( ! [X4: $i,X5: $i,X6: $i,X1: $i] :
( ( ( multiply @ X4 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ X4 )
!= sk_c9 )
| ( ( multiply @ X5 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X5 )
!= sk_c8 )
| ( ( inverse @ X6 )
!= sk_c9 )
| ( ( multiply @ X6 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ X1 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ X1 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(86,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(87,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(88,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(89,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(90,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(91,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(92,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(93,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(94,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(95,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(96,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(97,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(98,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(99,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(100,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(101,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(102,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(103,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(104,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(105,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(106,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(107,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(108,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(109,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(110,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(111,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(112,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(113,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(114,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(115,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(116,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(117,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(118,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(119,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(120,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(121,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(122,plain,
( ( ! [X4: $i,X5: $i,X6: $i,X1: $i] :
( ( ( multiply @ X4 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ X4 )
!= sk_c9 )
| ( ( multiply @ X5 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X5 )
!= sk_c8 )
| ( ( inverse @ X6 )
!= sk_c9 )
| ( ( multiply @ X6 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ X1 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ X1 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(123,plain,
( ( ! [X: $i] :
( ( multiply @ identity @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(124,plain,
( ( ! [X: $i] :
( ( multiply @ ( inverse @ X ) @ X )
= identity ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(125,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( multiply @ ( multiply @ X @ Y ) @ Z )
= ( multiply @ X @ ( multiply @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(127,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(128,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(129,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(130,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(131,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(132,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(133,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(134,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(135,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(136,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(137,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(138,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(139,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(140,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(141,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(142,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(143,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(144,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(145,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(146,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(147,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(148,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(149,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(150,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(151,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(152,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(153,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(154,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(155,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(156,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(157,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(158,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(159,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(160,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(161,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(162,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(163,plain,
! [SV1: $i] :
( ( ! [SY11: $i,SY12: $i,SY13: $i] :
( ( ( multiply @ SV1 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV1 )
!= sk_c9 )
| ( ( multiply @ SY11 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SY11 )
!= sk_c8 )
| ( ( inverse @ SY12 )
!= sk_c9 )
| ( ( multiply @ SY12 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SY13 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SY13 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(164,plain,
! [SV2: $i] :
( ( ( multiply @ identity @ SV2 )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(165,plain,
! [SV3: $i] :
( ( ( multiply @ ( inverse @ SV3 ) @ SV3 )
= identity )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(166,plain,
! [SV4: $i] :
( ( ! [SY16: $i,SY17: $i] :
( ( multiply @ ( multiply @ SV4 @ SY16 ) @ SY17 )
= ( multiply @ SV4 @ ( multiply @ SY16 @ SY17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(168,plain,
! [SV5: $i,SV1: $i] :
( ( ! [SY18: $i,SY19: $i] :
( ( ( multiply @ SV1 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV1 )
!= sk_c9 )
| ( ( multiply @ SV5 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SV5 )
!= sk_c8 )
| ( ( inverse @ SY18 )
!= sk_c9 )
| ( ( multiply @ SY18 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SY19 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SY19 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(169,plain,
! [SV6: $i,SV4: $i] :
( ( ! [SY22: $i] :
( ( multiply @ ( multiply @ SV4 @ SV6 ) @ SY22 )
= ( multiply @ SV4 @ ( multiply @ SV6 @ SY22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(170,plain,
! [SV7: $i,SV5: $i,SV1: $i] :
( ( ! [SY23: $i] :
( ( ( multiply @ SV1 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV1 )
!= sk_c9 )
| ( ( multiply @ SV5 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SV5 )
!= sk_c8 )
| ( ( inverse @ SV7 )
!= sk_c9 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SY23 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SY23 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(171,plain,
! [SV8: $i,SV6: $i,SV4: $i] :
( ( ( multiply @ ( multiply @ SV4 @ SV6 ) @ SV8 )
= ( multiply @ SV4 @ ( multiply @ SV6 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(172,plain,
! [SV9: $i,SV7: $i,SV5: $i,SV1: $i] :
( ( ( ( multiply @ SV1 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV1 )
!= sk_c9 )
| ( ( multiply @ SV5 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SV5 )
!= sk_c8 )
| ( ( inverse @ SV7 )
!= sk_c9 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(173,plain,
! [SV9: $i,SV7: $i,SV5: $i,SV1: $i] :
( ( ( ( ( multiply @ SV1 @ sk_c9 )
!= sk_c8 ) )
= $true )
| ( ( ( ( inverse @ SV1 )
!= sk_c9 )
| ( ( multiply @ SV5 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SV5 )
!= sk_c8 )
| ( ( inverse @ SV7 )
!= sk_c9 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(174,plain,
! [SV9: $i,SV7: $i,SV5: $i,SV1: $i] :
( ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( ( ( inverse @ SV1 )
!= sk_c9 )
| ( ( multiply @ SV5 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SV5 )
!= sk_c8 )
| ( ( inverse @ SV7 )
!= sk_c9 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(175,plain,
! [SV9: $i,SV7: $i,SV5: $i,SV1: $i] :
( ( ( ( ( inverse @ SV1 )
!= sk_c9 ) )
= $true )
| ( ( ( ( multiply @ SV5 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SV5 )
!= sk_c8 )
| ( ( inverse @ SV7 )
!= sk_c9 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(176,plain,
! [SV9: $i,SV7: $i,SV5: $i,SV1: $i] :
( ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( ( multiply @ SV5 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SV5 )
!= sk_c8 )
| ( ( inverse @ SV7 )
!= sk_c9 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(177,plain,
! [SV1: $i,SV9: $i,SV7: $i,SV5: $i] :
( ( ( ( ( multiply @ SV5 @ sk_c8 )
!= sk_c7 ) )
= $true )
| ( ( ( ( inverse @ SV5 )
!= sk_c8 )
| ( ( inverse @ SV7 )
!= sk_c9 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(178,plain,
! [SV1: $i,SV9: $i,SV7: $i,SV5: $i] :
( ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( ( inverse @ SV5 )
!= sk_c8 )
| ( ( inverse @ SV7 )
!= sk_c9 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(179,plain,
! [SV1: $i,SV9: $i,SV7: $i,SV5: $i] :
( ( ( ( ( inverse @ SV5 )
!= sk_c8 ) )
= $true )
| ( ( ( ( inverse @ SV7 )
!= sk_c9 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(180,plain,
! [SV1: $i,SV9: $i,SV7: $i,SV5: $i] :
( ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( ( inverse @ SV7 )
!= sk_c9 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(181,plain,
! [SV1: $i,SV5: $i,SV9: $i,SV7: $i] :
( ( ( ( ( inverse @ SV7 )
!= sk_c9 ) )
= $true )
| ( ( ( ( multiply @ SV7 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(182,plain,
! [SV1: $i,SV5: $i,SV9: $i,SV7: $i] :
( ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( ( multiply @ SV7 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(183,plain,
! [SV1: $i,SV5: $i,SV9: $i,SV7: $i] :
( ( ( ( ( multiply @ SV7 @ sk_c7 )
!= sk_c9 ) )
= $true )
| ( ( ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(184,plain,
! [SV1: $i,SV5: $i,SV9: $i,SV7: $i] :
( ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(185,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i] :
( ( ( ( ( multiply @ SV9 @ sk_c9 )
!= sk_c8 ) )
= $true )
| ( ( ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(186,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i] :
( ( ( ( multiply @ SV9 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( ( ( inverse @ SV9 )
!= sk_c9 )
| ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(187,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i] :
( ( ( ( ( inverse @ SV9 )
!= sk_c9 ) )
= $true )
| ( ( ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( multiply @ SV9 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(188,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i] :
( ( ( ( inverse @ SV9 )
= sk_c9 )
= $false )
| ( ( ! [X2: $i] :
( ( ( multiply @ X2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X2 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) ) )
= $true )
| ( ( ( multiply @ SV9 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(189,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ( ( multiply @ SV10 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SV10 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) )
= $true )
| ( ( ( inverse @ SV9 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV9 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(190,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ( ( multiply @ SV10 @ sk_c8 )
!= sk_c7 ) )
= $true )
| ( ( ( ( inverse @ SV10 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) )
= $true )
| ( ( ( inverse @ SV9 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV9 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(191,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ( multiply @ SV10 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( ( inverse @ SV10 )
!= sk_c8 )
| ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) )
= $true )
| ( ( ( inverse @ SV9 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV9 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(192,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ( ( inverse @ SV10 )
!= sk_c8 ) )
= $true )
| ( ( ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) )
= $true )
| ( ( ( multiply @ SV10 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV9 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV9 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(193,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ( inverse @ SV10 )
= sk_c8 )
= $false )
| ( ( ! [X3: $i] :
( ( ( inverse @ X3 )
!= sk_c9 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c9 ) ) )
= $true )
| ( ( ( multiply @ SV10 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV9 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV9 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(194,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( ( inverse @ SV11 )
!= sk_c9 )
| ( ( multiply @ SV11 @ sk_c8 )
!= sk_c9 ) )
= $true )
| ( ( ( inverse @ SV10 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV10 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV9 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV9 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(195,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( ( inverse @ SV11 )
!= sk_c9 ) )
= $true )
| ( ( ( ( multiply @ SV11 @ sk_c8 )
!= sk_c9 ) )
= $true )
| ( ( ( inverse @ SV10 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV10 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV9 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV9 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(196,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( inverse @ SV11 )
= sk_c9 )
= $false )
| ( ( ( ( multiply @ SV11 @ sk_c8 )
!= sk_c9 ) )
= $true )
| ( ( ( inverse @ SV10 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV10 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV9 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV9 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(197,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( multiply @ SV11 @ sk_c8 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV11 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV10 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV10 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV9 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV9 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV7 )
= sk_c9 )
= $false )
| ( ( ( inverse @ SV5 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV5 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c9 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c9 )
= sk_c8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(198,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[127]) ).
thf(199,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[128]) ).
thf(200,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[129]) ).
thf(201,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[130]) ).
thf(202,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[131]) ).
thf(203,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[132]) ).
thf(204,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[133]) ).
thf(205,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[134]) ).
thf(206,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[135]) ).
thf(207,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[136]) ).
thf(208,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[137]) ).
thf(209,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[138]) ).
thf(210,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[139]) ).
thf(211,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[140]) ).
thf(212,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[141]) ).
thf(213,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[142]) ).
thf(214,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[143]) ).
thf(215,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[144]) ).
thf(216,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[145]) ).
thf(217,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[146]) ).
thf(218,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[147]) ).
thf(219,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[148]) ).
thf(220,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[149]) ).
thf(221,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[150]) ).
thf(222,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[151]) ).
thf(223,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[152]) ).
thf(224,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[153]) ).
thf(225,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[154]) ).
thf(226,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[155]) ).
thf(227,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[156]) ).
thf(228,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[157]) ).
thf(229,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[158]) ).
thf(230,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[159]) ).
thf(231,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[160]) ).
thf(232,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[161]) ).
thf(233,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[162]) ).
thf(234,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
!= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
!= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[198]) ).
thf(235,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[198]) ).
thf(236,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
| ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ sk_c4 )
!= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[199]) ).
thf(237,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[199]) ).
thf(238,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
| ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
!= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
!= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[200]) ).
thf(239,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[200]) ).
thf(240,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ sk_c5 )
!= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[201]) ).
thf(241,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[201]) ).
thf(242,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
| ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
!= sk_c8 )
| ( ( inverse @ sk_c6 )
!= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[202]) ).
thf(243,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[202]) ).
thf(244,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
| ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
!= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
!= sk_c9 ) ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[203]) ).
thf(245,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[203]) ).
thf(246,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
| ~ ( ( ( inverse @ sk_c1 )
!= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
!= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[204]) ).
thf(247,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[204]) ).
thf(248,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
| ~ ( ( ( inverse @ sk_c1 )
!= sk_c9 )
| ( ( inverse @ sk_c4 )
!= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[205]) ).
thf(249,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[205]) ).
thf(250,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
| ~ ( ( ( inverse @ sk_c1 )
!= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
!= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[206]) ).
thf(251,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[206]) ).
thf(252,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
| ~ ( ( ( inverse @ sk_c1 )
!= sk_c9 )
| ( ( inverse @ sk_c5 )
!= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[207]) ).
thf(253,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[207]) ).
thf(254,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
| ~ ( ( ( inverse @ sk_c1 )
!= sk_c9 )
| ( ( inverse @ sk_c6 )
!= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[208]) ).
thf(255,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[208]) ).
thf(256,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
| ~ ( ( ( inverse @ sk_c1 )
!= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
!= sk_c9 ) ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[209]) ).
thf(257,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[209]) ).
thf(258,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
!= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c9 )
!= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[210]) ).
thf(259,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[210]) ).
thf(260,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
| ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ sk_c4 )
!= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[211]) ).
thf(261,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[211]) ).
thf(262,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
| ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
!= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c8 )
!= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[212]) ).
thf(263,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[212]) ).
thf(264,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ sk_c5 )
!= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[213]) ).
thf(265,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[213]) ).
thf(266,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
| ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ sk_c6 )
!= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[214]) ).
thf(267,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[214]) ).
thf(268,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
| ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
!= sk_c7 )
| ( ( multiply @ sk_c6 @ sk_c8 )
!= sk_c9 ) ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[215]) ).
thf(269,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[215]) ).
thf(270,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
| ~ ( ( ( inverse @ sk_c2 )
!= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
!= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[216]) ).
thf(271,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[216]) ).
thf(272,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
| ~ ( ( ( inverse @ sk_c2 )
!= sk_c8 )
| ( ( inverse @ sk_c4 )
!= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[217]) ).
thf(273,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[217]) ).
thf(274,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
| ~ ( ( ( inverse @ sk_c2 )
!= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
!= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[218]) ).
thf(275,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[218]) ).
thf(276,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
| ~ ( ( ( inverse @ sk_c2 )
!= sk_c8 )
| ( ( inverse @ sk_c5 )
!= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[219]) ).
thf(277,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[219]) ).
thf(278,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
| ~ ( ( ( inverse @ sk_c2 )
!= sk_c8 )
| ( ( inverse @ sk_c6 )
!= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[220]) ).
thf(279,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[220]) ).
thf(280,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
| ~ ( ( ( inverse @ sk_c2 )
!= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
!= sk_c9 ) ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[221]) ).
thf(281,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[221]) ).
thf(282,plain,
( ( ( ~ ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
| ~ ( ( ( inverse @ sk_c3 )
!= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
!= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[222]) ).
thf(283,plain,
( ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[222]) ).
thf(284,plain,
( ( ( ~ ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
| ~ ( ( ( inverse @ sk_c3 )
!= sk_c9 )
| ( ( inverse @ sk_c4 )
!= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[223]) ).
thf(285,plain,
( ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[223]) ).
thf(286,plain,
( ( ( ~ ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
| ~ ( ( ( inverse @ sk_c3 )
!= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
!= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[224]) ).
thf(287,plain,
( ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[224]) ).
thf(288,plain,
( ( ( ~ ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
| ~ ( ( ( inverse @ sk_c3 )
!= sk_c9 )
| ( ( inverse @ sk_c5 )
!= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[225]) ).
thf(289,plain,
( ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[225]) ).
thf(290,plain,
( ( ( ~ ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
| ~ ( ( ( inverse @ sk_c3 )
!= sk_c9 )
| ( ( inverse @ sk_c6 )
!= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[226]) ).
thf(291,plain,
( ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[226]) ).
thf(292,plain,
( ( ( ~ ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
| ~ ( ( ( inverse @ sk_c3 )
!= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
!= sk_c9 ) ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[227]) ).
thf(293,plain,
( ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[227]) ).
thf(294,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
!= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[228]) ).
thf(295,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[228]) ).
thf(296,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
| ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
!= sk_c9 )
| ( ( inverse @ sk_c4 )
!= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[229]) ).
thf(297,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[229]) ).
thf(298,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
| ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
!= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[230]) ).
thf(299,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[230]) ).
thf(300,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
!= sk_c9 )
| ( ( inverse @ sk_c5 )
!= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[231]) ).
thf(301,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[231]) ).
thf(302,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
| ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
!= sk_c9 )
| ( ( inverse @ sk_c6 )
!= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[232]) ).
thf(303,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[232]) ).
thf(304,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
| ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
!= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
!= sk_c9 ) ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[233]) ).
thf(305,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[233]) ).
thf(306,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(308,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(310,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(312,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(314,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(316,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(318,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(320,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(322,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(324,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(326,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(328,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(330,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(332,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(334,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(336,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(338,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(340,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(342,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(344,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(346,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(348,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(350,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(352,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(354,plain,
( ( ( ~ ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(356,plain,
( ( ( ~ ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(358,plain,
( ( ( ~ ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(360,plain,
( ( ( ~ ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(362,plain,
( ( ( ~ ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(364,plain,
( ( ( ~ ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(366,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(368,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(370,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(372,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(374,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) ) )
= $false )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(376,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) ) )
= $false )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(378,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(380,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(382,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(384,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(386,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(388,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(390,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(392,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(394,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(396,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(398,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(400,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(402,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(404,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(406,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(408,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(410,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(412,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(414,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(416,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(418,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(420,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(422,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(424,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c8 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(426,plain,
( ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(428,plain,
( ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(430,plain,
( ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(432,plain,
( ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(434,plain,
( ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(436,plain,
( ( ( ( ( inverse @ sk_c3 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(438,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 ) )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(440,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c4 )
= sk_c9 ) )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(442,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 ) )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(444,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c5 )
= sk_c8 ) )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(446,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( inverse @ sk_c6 )
= sk_c9 ) )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(448,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
| ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 ) )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(450,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(452,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(454,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(456,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(458,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(460,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(462,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(464,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(466,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(468,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(470,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(472,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(474,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(476,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(478,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(480,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(482,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(484,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(486,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(488,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(490,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(492,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(494,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(496,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(498,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(500,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(502,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(504,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(506,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(508,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(510,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(512,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(514,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(516,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(518,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(520,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(594,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c4 @ sk_c9 ) )
= $false ) ),
inference(extuni,[status(esa)],[235]) ).
thf(595,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( sk_c1 = sk_c4 )
= $false ) ),
inference(extuni,[status(esa)],[235]) ).
thf(596,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c9 )
= ( multiply @ sk_c4 @ sk_c9 ) )
= $false ) ),
inference(extuni,[status(esa)],[235]) ).
thf(597,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c9 )
= $false )
| ( ( sk_c8
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[237]) ).
thf(598,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( sk_c8 = sk_c9 )
= $false )
| ( ( ( multiply @ sk_c1 @ sk_c9 )
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[237]) ).
thf(599,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c7 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c5 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[239]) ).
thf(600,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( sk_c8 = sk_c7 )
= $false )
| ( ( sk_c9 = sk_c8 )
= $false )
| ( ( sk_c1 = sk_c5 )
= $false ) ),
inference(extuni,[status(esa)],[239]) ).
thf(601,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( sk_c8 = sk_c7 )
= $false )
| ( ( ( multiply @ sk_c1 @ sk_c9 )
= ( multiply @ sk_c5 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[239]) ).
thf(602,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $false )
| ( ( sk_c8
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[241]) ).
thf(603,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c9 )
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[241]) ).
thf(604,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c9 )
= $false )
| ( ( sk_c8
= ( inverse @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[243]) ).
thf(605,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( sk_c8 = sk_c9 )
= $false )
| ( ( ( multiply @ sk_c1 @ sk_c9 )
= ( inverse @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[243]) ).
thf(606,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c9 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c6 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[245]) ).
thf(607,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( sk_c8 = sk_c9 )
= $false )
| ( ( sk_c9 = sk_c8 )
= $false )
| ( ( sk_c1 = sk_c6 )
= $false ) ),
inference(extuni,[status(esa)],[245]) ).
thf(608,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( sk_c8 = sk_c9 )
= $false )
| ( ( ( multiply @ sk_c1 @ sk_c9 )
= ( multiply @ sk_c6 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[245]) ).
thf(609,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $false )
| ( ( sk_c9
= ( multiply @ sk_c4 @ sk_c9 ) )
= $false ) ),
inference(extuni,[status(esa)],[247]) ).
thf(610,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( sk_c9 = sk_c8 )
= $false )
| ( ( ( inverse @ sk_c1 )
= ( multiply @ sk_c4 @ sk_c9 ) )
= $false ) ),
inference(extuni,[status(esa)],[247]) ).
thf(611,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $false )
| ( ( sk_c9
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[249]) ).
thf(612,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( sk_c1 = sk_c4 )
= $false ) ),
inference(extuni,[status(esa)],[249]) ).
thf(613,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c1 )
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[249]) ).
thf(614,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c1 )
= sk_c7 )
= $false )
| ( ( sk_c9
= ( multiply @ sk_c5 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[251]) ).
thf(615,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( sk_c9 = sk_c7 )
= $false )
| ( ( ( inverse @ sk_c1 )
= ( multiply @ sk_c5 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[251]) ).
thf(616,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $false )
| ( ( sk_c9
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[253]) ).
thf(617,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( sk_c9 = sk_c8 )
= $false )
| ( ( sk_c1 = sk_c5 )
= $false ) ),
inference(extuni,[status(esa)],[253]) ).
thf(618,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( sk_c9 = sk_c8 )
= $false )
| ( ( ( inverse @ sk_c1 )
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[253]) ).
thf(619,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $false )
| ( ( sk_c9
= ( inverse @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[255]) ).
thf(620,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( sk_c1 = sk_c6 )
= $false ) ),
inference(extuni,[status(esa)],[255]) ).
thf(621,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c1 )
= ( inverse @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[255]) ).
thf(622,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $false )
| ( ( sk_c9
= ( multiply @ sk_c6 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[257]) ).
thf(623,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c1 )
= ( multiply @ sk_c6 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[257]) ).
thf(624,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c8 )
= $false )
| ( ( sk_c7
= ( multiply @ sk_c4 @ sk_c9 ) )
= $false ) ),
inference(extuni,[status(esa)],[259]) ).
thf(625,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( sk_c7 = sk_c8 )
= $false )
| ( ( sk_c8 = sk_c9 )
= $false )
| ( ( sk_c2 = sk_c4 )
= $false ) ),
inference(extuni,[status(esa)],[259]) ).
thf(626,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( sk_c7 = sk_c8 )
= $false )
| ( ( ( multiply @ sk_c2 @ sk_c8 )
= ( multiply @ sk_c4 @ sk_c9 ) )
= $false ) ),
inference(extuni,[status(esa)],[259]) ).
thf(627,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c9 )
= $false )
| ( ( sk_c7
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[261]) ).
thf(628,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( sk_c7 = sk_c9 )
= $false )
| ( ( ( multiply @ sk_c2 @ sk_c8 )
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[261]) ).
thf(629,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( sk_c7
= ( multiply @ sk_c5 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[263]) ).
thf(630,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( sk_c2 = sk_c5 )
= $false ) ),
inference(extuni,[status(esa)],[263]) ).
thf(631,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c8 )
= ( multiply @ sk_c5 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[263]) ).
thf(632,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c8 )
= $false )
| ( ( sk_c7
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[265]) ).
thf(633,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( sk_c7 = sk_c8 )
= $false )
| ( ( ( multiply @ sk_c2 @ sk_c8 )
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[265]) ).
thf(634,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c9 )
= $false )
| ( ( sk_c7
= ( inverse @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[267]) ).
thf(635,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( sk_c7 = sk_c9 )
= $false )
| ( ( ( multiply @ sk_c2 @ sk_c8 )
= ( inverse @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[267]) ).
thf(636,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c9 )
= $false )
| ( ( sk_c7
= ( multiply @ sk_c6 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[269]) ).
thf(637,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( sk_c7 = sk_c9 )
= $false )
| ( ( sk_c2 = sk_c6 )
= $false ) ),
inference(extuni,[status(esa)],[269]) ).
thf(638,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( sk_c7 = sk_c9 )
= $false )
| ( ( ( multiply @ sk_c2 @ sk_c8 )
= ( multiply @ sk_c6 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[269]) ).
thf(639,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c4 @ sk_c9 ) )
= $false ) ),
inference(extuni,[status(esa)],[271]) ).
thf(640,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c2 )
= ( multiply @ sk_c4 @ sk_c9 ) )
= $false ) ),
inference(extuni,[status(esa)],[271]) ).
thf(641,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c2 )
= sk_c9 )
= $false )
| ( ( sk_c8
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[273]) ).
thf(642,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( sk_c8 = sk_c9 )
= $false )
| ( ( sk_c2 = sk_c4 )
= $false ) ),
inference(extuni,[status(esa)],[273]) ).
thf(643,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( sk_c8 = sk_c9 )
= $false )
| ( ( ( inverse @ sk_c2 )
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[273]) ).
thf(644,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c2 )
= sk_c7 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c5 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[275]) ).
thf(645,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( sk_c8 = sk_c7 )
= $false )
| ( ( ( inverse @ sk_c2 )
= ( multiply @ sk_c5 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[275]) ).
thf(646,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $false )
| ( ( sk_c8
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[277]) ).
thf(647,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( sk_c2 = sk_c5 )
= $false ) ),
inference(extuni,[status(esa)],[277]) ).
thf(648,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c2 )
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[277]) ).
thf(649,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c2 )
= sk_c9 )
= $false )
| ( ( sk_c8
= ( inverse @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[279]) ).
thf(650,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( sk_c8 = sk_c9 )
= $false )
| ( ( sk_c2 = sk_c6 )
= $false ) ),
inference(extuni,[status(esa)],[279]) ).
thf(651,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( sk_c8 = sk_c9 )
= $false )
| ( ( ( inverse @ sk_c2 )
= ( inverse @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[279]) ).
thf(652,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c2 )
= sk_c9 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c6 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[281]) ).
thf(653,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( sk_c8 = sk_c9 )
= $false )
| ( ( ( inverse @ sk_c2 )
= ( multiply @ sk_c6 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[281]) ).
thf(654,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c3 )
= sk_c8 )
= $false )
| ( ( sk_c9
= ( multiply @ sk_c4 @ sk_c9 ) )
= $false ) ),
inference(extuni,[status(esa)],[283]) ).
thf(655,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( sk_c9 = sk_c8 )
= $false )
| ( ( ( inverse @ sk_c3 )
= ( multiply @ sk_c4 @ sk_c9 ) )
= $false ) ),
inference(extuni,[status(esa)],[283]) ).
thf(656,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $false )
| ( ( sk_c9
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[285]) ).
thf(657,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( sk_c3 = sk_c4 )
= $false ) ),
inference(extuni,[status(esa)],[285]) ).
thf(658,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c3 )
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[285]) ).
thf(659,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c3 )
= sk_c7 )
= $false )
| ( ( sk_c9
= ( multiply @ sk_c5 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[287]) ).
thf(660,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( sk_c9 = sk_c7 )
= $false )
| ( ( ( inverse @ sk_c3 )
= ( multiply @ sk_c5 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[287]) ).
thf(661,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c3 )
= sk_c8 )
= $false )
| ( ( sk_c9
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[289]) ).
thf(662,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( sk_c9 = sk_c8 )
= $false )
| ( ( sk_c3 = sk_c5 )
= $false ) ),
inference(extuni,[status(esa)],[289]) ).
thf(663,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( sk_c9 = sk_c8 )
= $false )
| ( ( ( inverse @ sk_c3 )
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[289]) ).
thf(664,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $false )
| ( ( sk_c9
= ( inverse @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[291]) ).
thf(665,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( sk_c3 = sk_c6 )
= $false ) ),
inference(extuni,[status(esa)],[291]) ).
thf(666,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c3 )
= ( inverse @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[291]) ).
thf(667,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $false )
| ( ( sk_c9
= ( multiply @ sk_c6 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[293]) ).
thf(668,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c3 )
= ( multiply @ sk_c6 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[293]) ).
thf(669,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( sk_c9
= ( multiply @ sk_c4 @ sk_c9 ) )
= $false ) ),
inference(extuni,[status(esa)],[295]) ).
thf(670,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( sk_c9 = sk_c8 )
= $false )
| ( ( sk_c7 = sk_c9 )
= $false )
| ( ( sk_c3 = sk_c4 )
= $false ) ),
inference(extuni,[status(esa)],[295]) ).
thf(671,plain,
( ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( sk_c9 = sk_c8 )
= $false )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= ( multiply @ sk_c4 @ sk_c9 ) )
= $false ) ),
inference(extuni,[status(esa)],[295]) ).
thf(672,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( sk_c9
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[297]) ).
thf(673,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[297]) ).
thf(674,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c7 )
= $false )
| ( ( sk_c9
= ( multiply @ sk_c5 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[299]) ).
thf(675,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( sk_c9 = sk_c7 )
= $false )
| ( ( sk_c7 = sk_c8 )
= $false )
| ( ( sk_c3 = sk_c5 )
= $false ) ),
inference(extuni,[status(esa)],[299]) ).
thf(676,plain,
( ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( sk_c9 = sk_c7 )
= $false )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= ( multiply @ sk_c5 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[299]) ).
thf(677,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( sk_c9
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[301]) ).
thf(678,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true )
| ( ( sk_c9 = sk_c8 )
= $false )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[301]) ).
thf(679,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( sk_c9
= ( inverse @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[303]) ).
thf(680,plain,
( ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= ( inverse @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[303]) ).
thf(681,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $false )
| ( ( sk_c9
= ( multiply @ sk_c6 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[305]) ).
thf(682,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( sk_c7 = sk_c8 )
= $false )
| ( ( sk_c3 = sk_c6 )
= $false ) ),
inference(extuni,[status(esa)],[305]) ).
thf(683,plain,
( ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= ( multiply @ sk_c6 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[305]) ).
thf(684,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[450]) ).
thf(685,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[452]) ).
thf(686,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[454]) ).
thf(687,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[456]) ).
thf(688,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[458]) ).
thf(689,plain,
( ( ( ( multiply @ sk_c1 @ sk_c9 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[460]) ).
thf(690,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[462]) ).
thf(691,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[464]) ).
thf(692,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[466]) ).
thf(693,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[468]) ).
thf(694,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[470]) ).
thf(695,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[472]) ).
thf(696,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[474]) ).
thf(697,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[476]) ).
thf(698,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[478]) ).
thf(699,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[480]) ).
thf(700,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[482]) ).
thf(701,plain,
( ( ( ( multiply @ sk_c2 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[484]) ).
thf(702,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[486]) ).
thf(703,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[488]) ).
thf(704,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[490]) ).
thf(705,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[492]) ).
thf(706,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[494]) ).
thf(707,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[496]) ).
thf(708,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[498]) ).
thf(709,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[500]) ).
thf(710,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[502]) ).
thf(711,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[504]) ).
thf(712,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[506]) ).
thf(713,plain,
( ( ( ( inverse @ sk_c3 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[508]) ).
thf(714,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c9 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[510]) ).
thf(715,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[512]) ).
thf(716,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c8 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[514]) ).
thf(717,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[516]) ).
thf(718,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( inverse @ sk_c6 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[518]) ).
thf(719,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c9 )
= $true )
| ( ( ( multiply @ sk_c6 @ sk_c8 )
= sk_c9 )
= $true ) ),
inference(sim,[status(thm)],[520]) ).
thf(720,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[127,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,197,171,165,164,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128]) ).
thf(721,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[720]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP247-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.10 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Tue Jun 14 07:51:27 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.13/0.30
% 0.13/0.30 No.of.Axioms: 40
% 0.13/0.30
% 0.13/0.30 Length.of.Defs: 0
% 0.13/0.30
% 0.13/0.30 Contains.Choice.Funs: false
% 0.13/0.31 (rf:0,axioms:40,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:42,loop_count:0,foatp_calls:0,translation:fof_full).........eprover: CPU time limit exceeded, terminating
% 74.23/74.44 .......
% 79.03/79.27
% 79.03/79.27 ********************************
% 79.03/79.27 * All subproblems solved! *
% 79.03/79.27 ********************************
% 79.03/79.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:40,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:720,loop_count:0,foatp_calls:2,translation:fof_full)
% 79.21/79.39
% 79.21/79.39 %**** Beginning of derivation protocol ****
% 79.21/79.39 % SZS output start CNFRefutation
% See solution above
% 79.21/79.39
% 79.21/79.39 %**** End of derivation protocol ****
% 79.21/79.39 %**** no. of clauses in derivation: 535 ****
% 79.21/79.39 %**** clause counter: 720 ****
% 79.21/79.39
% 79.21/79.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:40,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:720,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------