TSTP Solution File: GRP279-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : GRP279-1 : 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 : n024.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 10:17:20 EDT 2022
% Result : Unsatisfiable 78.45s 78.66s
% Output : CNFRefutation 78.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 45
% Syntax : Number of formulae : 463 ( 82 unt; 11 typ; 0 def)
% Number of atoms : 3469 (2497 equ; 0 cnn)
% Maximal formula atoms : 11 ( 7 avg)
% Number of connectives : 3702 ( 353 ~; 957 |; 0 &;2392 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 11 con; 0-2 aty)
% Number of variables : 176 ( 0 ^ 176 !; 0 ?; 176 :)
% 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(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,
! [X3: $i,X4: $i,X5: $i,X1: $i,X2: $i] :
( ( ( multiply @ sk_c8 @ sk_c7 )
!= sk_c6 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X3 )
!= sk_c8 )
| ( ( multiply @ X4 @ X5 )
!= sk_c8 )
| ( ( inverse @ X4 )
!= X5 )
| ( ( multiply @ X5 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
thf(7,negated_conjecture,
( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
thf(8,negated_conjecture,
( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
thf(9,negated_conjecture,
( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
thf(10,negated_conjecture,
( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
thf(11,negated_conjecture,
( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
thf(12,negated_conjecture,
( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
thf(13,negated_conjecture,
( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
thf(14,negated_conjecture,
( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
thf(15,negated_conjecture,
( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
thf(16,negated_conjecture,
( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
thf(17,negated_conjecture,
( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
thf(18,negated_conjecture,
( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
thf(19,negated_conjecture,
( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
thf(20,negated_conjecture,
( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
thf(21,negated_conjecture,
( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
thf(22,negated_conjecture,
( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
thf(23,negated_conjecture,
( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
thf(24,negated_conjecture,
( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
thf(25,negated_conjecture,
( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
thf(26,negated_conjecture,
( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
thf(27,negated_conjecture,
( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
thf(28,negated_conjecture,
( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
thf(29,negated_conjecture,
( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
thf(30,negated_conjecture,
( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
thf(31,negated_conjecture,
( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
thf(32,negated_conjecture,
( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
thf(33,negated_conjecture,
( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
thf(34,negated_conjecture,
( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
thf(35,negated_conjecture,
( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
thf(36,negated_conjecture,
( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
thf(38,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(39,plain,
( ( ! [X: $i] :
( ( multiply @ ( inverse @ X ) @ X )
= identity ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(40,plain,
( ( ! [X: $i] :
( ( multiply @ identity @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(41,plain,
( ( ! [X3: $i,X4: $i,X5: $i,X1: $i,X2: $i] :
( ( ( multiply @ sk_c8 @ sk_c7 )
!= sk_c6 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X3 )
!= sk_c8 )
| ( ( multiply @ X4 @ X5 )
!= sk_c8 )
| ( ( inverse @ X4 )
!= X5 )
| ( ( multiply @ X5 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(42,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(43,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(44,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(45,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(46,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(47,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(48,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(49,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(50,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(51,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(52,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(53,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(54,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(55,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(56,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(57,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(58,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(59,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(60,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(61,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(62,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(63,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(64,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(65,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(66,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(67,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(68,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(69,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(70,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(71,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(73,plain,
( ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( multiply @ sk_c8 @ sk_c7 )
!= sk_c6 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X3 )
!= sk_c8 )
| ( ( multiply @ X4 @ X5 )
!= sk_c8 )
| ( ( inverse @ X4 )
!= X5 )
| ( ( multiply @ X5 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(74,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(75,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(76,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(77,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(78,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(79,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(80,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(81,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(82,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(83,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(84,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(85,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(86,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(87,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(88,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(89,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(90,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(91,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(92,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(93,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(94,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(95,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(96,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(97,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(98,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(99,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(100,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(101,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(102,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(103,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(104,plain,
( ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( multiply @ sk_c8 @ sk_c7 )
!= sk_c6 )
| ( ( multiply @ X3 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ X3 )
!= sk_c8 )
| ( ( multiply @ X4 @ X5 )
!= sk_c8 )
| ( ( inverse @ X4 )
!= X5 )
| ( ( multiply @ X5 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(105,plain,
( ( ! [X: $i] :
( ( multiply @ identity @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(106,plain,
( ( ! [X: $i] :
( ( multiply @ ( inverse @ X ) @ X )
= identity ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(107,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( multiply @ ( multiply @ X @ Y ) @ Z )
= ( multiply @ X @ ( multiply @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(109,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(110,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(111,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(112,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(113,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(114,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(115,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(116,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(117,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(118,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(119,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(120,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(121,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(122,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(123,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(124,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(125,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(126,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(127,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(128,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(129,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(130,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(131,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(132,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(133,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(134,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(135,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(136,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(137,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(138,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(139,plain,
! [SV1: $i] :
( ( ! [SY10: $i,SY11: $i] :
( ( ( multiply @ sk_c8 @ sk_c7 )
!= sk_c6 )
| ( ( multiply @ SV1 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SV1 )
!= sk_c8 )
| ( ( multiply @ SY10 @ SY11 )
!= sk_c8 )
| ( ( inverse @ SY10 )
!= SY11 )
| ( ( multiply @ SY11 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(140,plain,
! [SV2: $i] :
( ( ( multiply @ identity @ SV2 )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(141,plain,
! [SV3: $i] :
( ( ( multiply @ ( inverse @ SV3 ) @ SV3 )
= identity )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(142,plain,
! [SV4: $i] :
( ( ! [SY14: $i,SY15: $i] :
( ( multiply @ ( multiply @ SV4 @ SY14 ) @ SY15 )
= ( multiply @ SV4 @ ( multiply @ SY14 @ SY15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(144,plain,
! [SV5: $i,SV1: $i] :
( ( ! [SY16: $i] :
( ( ( multiply @ sk_c8 @ sk_c7 )
!= sk_c6 )
| ( ( multiply @ SV1 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SV1 )
!= sk_c8 )
| ( ( multiply @ SV5 @ SY16 )
!= sk_c8 )
| ( ( inverse @ SV5 )
!= SY16 )
| ( ( multiply @ SY16 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(145,plain,
! [SV6: $i,SV4: $i] :
( ( ! [SY19: $i] :
( ( multiply @ ( multiply @ SV4 @ SV6 ) @ SY19 )
= ( multiply @ SV4 @ ( multiply @ SV6 @ SY19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(146,plain,
! [SV7: $i,SV5: $i,SV1: $i] :
( ( ( ( multiply @ sk_c8 @ sk_c7 )
!= sk_c6 )
| ( ( multiply @ SV1 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SV1 )
!= sk_c8 )
| ( ( multiply @ SV5 @ SV7 )
!= sk_c8 )
| ( ( inverse @ SV5 )
!= SV7 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(147,plain,
! [SV8: $i,SV6: $i,SV4: $i] :
( ( ( multiply @ ( multiply @ SV4 @ SV6 ) @ SV8 )
= ( multiply @ SV4 @ ( multiply @ SV6 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(148,plain,
! [SV7: $i,SV5: $i,SV1: $i] :
( ( ( ( ( multiply @ sk_c8 @ sk_c7 )
!= sk_c6 ) )
= $true )
| ( ( ( ( multiply @ SV1 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SV1 )
!= sk_c8 )
| ( ( multiply @ SV5 @ SV7 )
!= sk_c8 )
| ( ( inverse @ SV5 )
!= SV7 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(149,plain,
! [SV7: $i,SV5: $i,SV1: $i] :
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false )
| ( ( ( ( multiply @ SV1 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ SV1 )
!= sk_c8 )
| ( ( multiply @ SV5 @ SV7 )
!= sk_c8 )
| ( ( inverse @ SV5 )
!= SV7 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(150,plain,
! [SV7: $i,SV5: $i,SV1: $i] :
( ( ( ( ( multiply @ SV1 @ sk_c8 )
!= sk_c7 ) )
= $true )
| ( ( ( ( inverse @ SV1 )
!= sk_c8 )
| ( ( multiply @ SV5 @ SV7 )
!= sk_c8 )
| ( ( inverse @ SV5 )
!= SV7 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(151,plain,
! [SV7: $i,SV5: $i,SV1: $i] :
( ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( ( inverse @ SV1 )
!= sk_c8 )
| ( ( multiply @ SV5 @ SV7 )
!= sk_c8 )
| ( ( inverse @ SV5 )
!= SV7 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(152,plain,
! [SV7: $i,SV5: $i,SV1: $i] :
( ( ( ( ( inverse @ SV1 )
!= sk_c8 ) )
= $true )
| ( ( ( ( multiply @ SV5 @ SV7 )
!= sk_c8 )
| ( ( inverse @ SV5 )
!= SV7 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(153,plain,
! [SV7: $i,SV5: $i,SV1: $i] :
( ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( ( multiply @ SV5 @ SV7 )
!= sk_c8 )
| ( ( inverse @ SV5 )
!= SV7 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(154,plain,
! [SV1: $i,SV7: $i,SV5: $i] :
( ( ( ( ( multiply @ SV5 @ SV7 )
!= sk_c8 ) )
= $true )
| ( ( ( ( inverse @ SV5 )
!= SV7 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(155,plain,
! [SV1: $i,SV7: $i,SV5: $i] :
( ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( ( inverse @ SV5 )
!= SV7 )
| ( ( multiply @ SV7 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(156,plain,
! [SV1: $i,SV7: $i,SV5: $i] :
( ( ( ( ( inverse @ SV5 )
!= SV7 ) )
= $true )
| ( ( ( ( multiply @ SV7 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(157,plain,
! [SV1: $i,SV7: $i,SV5: $i] :
( ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( ( multiply @ SV7 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(158,plain,
! [SV1: $i,SV5: $i,SV7: $i] :
( ( ( ( ( multiply @ SV7 @ sk_c7 )
!= sk_c8 ) )
= $true )
| ( ( ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true )
| ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(159,plain,
! [SV1: $i,SV5: $i,SV7: $i] :
( ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 )
| ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true )
| ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(160,plain,
! [SV1: $i,SV5: $i,SV7: $i] :
( ( ( ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 ) )
= $true )
| ( ( ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(161,plain,
! [SV1: $i,SV5: $i,SV7: $i] :
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $false )
| ( ( ! [X1: $i] :
( ( ( inverse @ X1 )
!= sk_c8 )
| ( ( multiply @ X1 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) ) )
= $true )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(162,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i] :
( ( ( ( ( inverse @ SV9 )
!= sk_c8 )
| ( ( multiply @ SV9 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(163,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i] :
( ( ( ( ( inverse @ SV9 )
!= sk_c8 ) )
= $true )
| ( ( ( ( multiply @ SV9 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(164,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i] :
( ( ( ( inverse @ SV9 )
= sk_c8 )
= $false )
| ( ( ( ( multiply @ SV9 @ sk_c7 )
!= sk_c8 )
| ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(165,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i] :
( ( ( ( ( multiply @ SV9 @ sk_c7 )
!= sk_c8 ) )
= $true )
| ( ( ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) )
= $true )
| ( ( ( inverse @ SV9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(166,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i] :
( ( ( ( multiply @ SV9 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ! [X2: $i] :
( ( ( inverse @ X2 )
!= sk_c7 )
| ( ( multiply @ X2 @ sk_c6 )
!= sk_c7 ) ) )
= $true )
| ( ( ( inverse @ SV9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(167,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ( ( inverse @ SV10 )
!= sk_c7 )
| ( ( multiply @ SV10 @ sk_c6 )
!= sk_c7 ) )
= $true )
| ( ( ( multiply @ SV9 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(168,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ( ( inverse @ SV10 )
!= sk_c7 ) )
= $true )
| ( ( ( ( multiply @ SV10 @ sk_c6 )
!= sk_c7 ) )
= $true )
| ( ( ( multiply @ SV9 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(169,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ( inverse @ SV10 )
= sk_c7 )
= $false )
| ( ( ( ( multiply @ SV10 @ sk_c6 )
!= sk_c7 ) )
= $true )
| ( ( ( multiply @ SV9 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(170,plain,
! [SV1: $i,SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ( multiply @ SV10 @ sk_c6 )
= sk_c7 )
= $false )
| ( ( ( inverse @ SV10 )
= sk_c7 )
= $false )
| ( ( ( multiply @ SV9 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV9 )
= sk_c8 )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $false )
| ( ( ( multiply @ SV7 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV5 )
= SV7 )
= $false )
| ( ( ( multiply @ SV5 @ SV7 )
= sk_c8 )
= $false )
| ( ( ( inverse @ SV1 )
= sk_c8 )
= $false )
| ( ( ( multiply @ SV1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(171,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[109]) ).
thf(172,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[110]) ).
thf(173,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[111]) ).
thf(174,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[112]) ).
thf(175,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[113]) ).
thf(176,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[114]) ).
thf(177,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[115]) ).
thf(178,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[116]) ).
thf(179,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[117]) ).
thf(180,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[118]) ).
thf(181,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[119]) ).
thf(182,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[120]) ).
thf(183,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[121]) ).
thf(184,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[122]) ).
thf(185,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[123]) ).
thf(186,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[124]) ).
thf(187,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[125]) ).
thf(188,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[126]) ).
thf(189,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[127]) ).
thf(190,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[128]) ).
thf(191,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[129]) ).
thf(192,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[130]) ).
thf(193,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[131]) ).
thf(194,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[132]) ).
thf(195,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[133]) ).
thf(196,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[134]) ).
thf(197,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[135]) ).
thf(198,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[136]) ).
thf(199,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[137]) ).
thf(200,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[138]) ).
thf(201,plain,
( ( ( ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
| ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
!= sk_c6 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 ) ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[171]) ).
thf(202,plain,
( ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[171]) ).
thf(203,plain,
( ( ( ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
!= sk_c6 )
| ( ( inverse @ sk_c4 )
!= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[172]) ).
thf(204,plain,
( ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[172]) ).
thf(205,plain,
( ( ( ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
!= sk_c6 )
| ( ( multiply @ sk_c4 @ sk_c7 )
!= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[173]) ).
thf(206,plain,
( ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[173]) ).
thf(207,plain,
( ( ( ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
| ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
!= sk_c6 )
| ( ( inverse @ sk_c5 )
!= sk_c7 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[174]) ).
thf(208,plain,
( ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[174]) ).
thf(209,plain,
( ( ( ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
| ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
!= sk_c6 )
| ( ( multiply @ sk_c5 @ sk_c6 )
!= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[175]) ).
thf(210,plain,
( ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[175]) ).
thf(211,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
| ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
!= sk_c7 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 ) ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[176]) ).
thf(212,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[176]) ).
thf(213,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ sk_c4 )
!= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[177]) ).
thf(214,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[177]) ).
thf(215,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
!= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c7 )
!= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[178]) ).
thf(216,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[178]) ).
thf(217,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
| ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
!= sk_c7 )
| ( ( inverse @ sk_c5 )
!= sk_c7 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[179]) ).
thf(218,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[179]) ).
thf(219,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
| ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
!= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c6 )
!= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[180]) ).
thf(220,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[180]) ).
thf(221,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
| ~ ( ( ( inverse @ sk_c1 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 ) ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[181]) ).
thf(222,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[181]) ).
thf(223,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
| ~ ( ( ( inverse @ sk_c1 )
!= sk_c8 )
| ( ( inverse @ sk_c4 )
!= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[182]) ).
thf(224,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[182]) ).
thf(225,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
| ~ ( ( ( inverse @ sk_c1 )
!= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
!= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[183]) ).
thf(226,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[183]) ).
thf(227,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
| ~ ( ( ( inverse @ sk_c1 )
!= sk_c8 )
| ( ( inverse @ sk_c5 )
!= sk_c7 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[184]) ).
thf(228,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[184]) ).
thf(229,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
| ~ ( ( ( inverse @ sk_c1 )
!= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
!= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[185]) ).
thf(230,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[185]) ).
thf(231,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
| ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 ) ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[186]) ).
thf(232,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[186]) ).
thf(233,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
!= sk_c8 )
| ( ( inverse @ sk_c4 )
!= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[187]) ).
thf(234,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[187]) ).
thf(235,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
!= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
!= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[188]) ).
thf(236,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[188]) ).
thf(237,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
| ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
!= sk_c8 )
| ( ( inverse @ sk_c5 )
!= sk_c7 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[189]) ).
thf(238,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[189]) ).
thf(239,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
| ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
!= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
!= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[190]) ).
thf(240,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[190]) ).
thf(241,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
| ~ ( ( ( inverse @ sk_c2 )
!= sk_c3 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 ) ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[191]) ).
thf(242,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[191]) ).
thf(243,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
| ~ ( ( ( inverse @ sk_c2 )
!= sk_c3 )
| ( ( inverse @ sk_c4 )
!= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[192]) ).
thf(244,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[192]) ).
thf(245,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
| ~ ( ( ( inverse @ sk_c2 )
!= sk_c3 )
| ( ( multiply @ sk_c4 @ sk_c7 )
!= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[193]) ).
thf(246,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[193]) ).
thf(247,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
| ~ ( ( ( inverse @ sk_c2 )
!= sk_c3 )
| ( ( inverse @ sk_c5 )
!= sk_c7 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[194]) ).
thf(248,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[194]) ).
thf(249,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
| ~ ( ( ( inverse @ sk_c2 )
!= sk_c3 )
| ( ( multiply @ sk_c5 @ sk_c6 )
!= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[195]) ).
thf(250,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[195]) ).
thf(251,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
| ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
!= sk_c6 ) ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[196]) ).
thf(252,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[196]) ).
thf(253,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
!= sk_c8 )
| ( ( inverse @ sk_c4 )
!= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[197]) ).
thf(254,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[197]) ).
thf(255,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
| ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
!= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[198]) ).
thf(256,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[198]) ).
thf(257,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
| ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
!= sk_c8 )
| ( ( inverse @ sk_c5 )
!= sk_c7 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[199]) ).
thf(258,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[199]) ).
thf(259,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
| ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
!= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
!= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[200]) ).
thf(260,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[200]) ).
thf(261,plain,
( ( ( ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(263,plain,
( ( ( ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(265,plain,
( ( ( ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(267,plain,
( ( ( ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(269,plain,
( ( ( ~ ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(271,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(273,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(275,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(277,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(279,plain,
( ( ( ~ ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(281,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(283,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(285,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(287,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(289,plain,
( ( ( ~ ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(291,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(293,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(295,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(297,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(299,plain,
( ( ( ~ ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(301,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(303,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(305,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(307,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(309,plain,
( ( ( ~ ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(311,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) ) )
= $false )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(313,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) ) )
= $false )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(315,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) ) )
= $false )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(317,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) ) )
= $false )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(319,plain,
( ( ( ~ ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) ) )
= $false )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(321,plain,
( ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(323,plain,
( ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(325,plain,
( ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(327,plain,
( ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(329,plain,
( ( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(331,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(333,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(335,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(337,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(339,plain,
( ( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(341,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(343,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(345,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(347,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(349,plain,
( ( ( ( ( inverse @ sk_c1 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(351,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(353,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(355,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(357,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(359,plain,
( ( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(361,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(363,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(365,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(367,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(369,plain,
( ( ( ( ( inverse @ sk_c2 )
= sk_c3 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(371,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 ) )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(373,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( inverse @ sk_c4 )
= sk_c8 ) )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(375,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 ) )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(377,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( inverse @ sk_c5 )
= sk_c7 ) )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(379,plain,
( ( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
| ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 ) )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(381,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(383,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(385,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(387,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(389,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(391,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(393,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(395,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(397,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(399,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(401,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(403,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(405,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(407,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(409,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(411,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(413,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(415,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(417,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(419,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(421,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(423,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(425,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(427,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(429,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(431,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(433,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(435,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(437,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(439,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(501,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $false )
| ( ( sk_c6
= ( multiply @ sk_c7 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[202]) ).
thf(502,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( sk_c7 = sk_c8 )
= $false )
| ( ( sk_c8 = sk_c7 )
= $false ) ),
inference(extuni,[status(esa)],[202]) ).
thf(503,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= ( multiply @ sk_c7 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[202]) ).
thf(504,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( sk_c6
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[204]) ).
thf(505,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( sk_c6 = sk_c8 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[204]) ).
thf(506,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( sk_c6
= ( multiply @ sk_c4 @ sk_c7 ) )
= $false ) ),
inference(extuni,[status(esa)],[206]) ).
thf(507,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( sk_c6 = sk_c8 )
= $false )
| ( ( sk_c8 = sk_c4 )
= $false ) ),
inference(extuni,[status(esa)],[206]) ).
thf(508,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( sk_c6 = sk_c8 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= ( multiply @ sk_c4 @ sk_c7 ) )
= $false ) ),
inference(extuni,[status(esa)],[206]) ).
thf(509,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c7 )
= $false )
| ( ( sk_c6
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[208]) ).
thf(510,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( sk_c6 = sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[208]) ).
thf(511,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c7 )
= $false )
| ( ( sk_c6
= ( multiply @ sk_c5 @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[210]) ).
thf(512,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( sk_c6 = sk_c7 )
= $false )
| ( ( sk_c7 = sk_c6 )
= $false )
| ( ( sk_c8 = sk_c5 )
= $false ) ),
inference(extuni,[status(esa)],[210]) ).
thf(513,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( sk_c6 = sk_c7 )
= $false )
| ( ( ( multiply @ sk_c8 @ sk_c7 )
= ( multiply @ sk_c5 @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[210]) ).
thf(514,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c6 )
= $false )
| ( ( sk_c7
= ( multiply @ sk_c7 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[212]) ).
thf(515,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( sk_c7 = sk_c6 )
= $false )
| ( ( sk_c1 = sk_c7 )
= $false ) ),
inference(extuni,[status(esa)],[212]) ).
thf(516,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( sk_c7 = sk_c6 )
= $false )
| ( ( ( multiply @ sk_c1 @ sk_c8 )
= ( multiply @ sk_c7 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[212]) ).
thf(517,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c8 )
= $false )
| ( ( sk_c7
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[214]) ).
thf(518,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( sk_c7 = sk_c8 )
= $false )
| ( ( ( multiply @ sk_c1 @ sk_c8 )
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[214]) ).
thf(519,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c8 )
= $false )
| ( ( sk_c7
= ( multiply @ sk_c4 @ sk_c7 ) )
= $false ) ),
inference(extuni,[status(esa)],[216]) ).
thf(520,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( sk_c7 = sk_c8 )
= $false )
| ( ( sk_c8 = sk_c7 )
= $false )
| ( ( sk_c1 = sk_c4 )
= $false ) ),
inference(extuni,[status(esa)],[216]) ).
thf(521,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( sk_c7 = sk_c8 )
= $false )
| ( ( ( multiply @ sk_c1 @ sk_c8 )
= ( multiply @ sk_c4 @ sk_c7 ) )
= $false ) ),
inference(extuni,[status(esa)],[216]) ).
thf(522,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( sk_c7
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[218]) ).
thf(523,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c8 )
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[218]) ).
thf(524,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $false )
| ( ( sk_c7
= ( multiply @ sk_c5 @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[220]) ).
thf(525,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( sk_c8 = sk_c6 )
= $false )
| ( ( sk_c1 = sk_c5 )
= $false ) ),
inference(extuni,[status(esa)],[220]) ).
thf(526,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c1 @ sk_c8 )
= ( multiply @ sk_c5 @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[220]) ).
thf(527,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( inverse @ sk_c1 )
= sk_c6 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c7 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[222]) ).
thf(528,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( sk_c8 = sk_c6 )
= $false )
| ( ( ( inverse @ sk_c1 )
= ( multiply @ sk_c7 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[222]) ).
thf(529,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $false )
| ( ( sk_c8
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[224]) ).
thf(530,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( sk_c1 = sk_c4 )
= $false ) ),
inference(extuni,[status(esa)],[224]) ).
thf(531,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c1 )
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[224]) ).
thf(532,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c4 @ sk_c7 ) )
= $false ) ),
inference(extuni,[status(esa)],[226]) ).
thf(533,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c1 )
= ( multiply @ sk_c4 @ sk_c7 ) )
= $false ) ),
inference(extuni,[status(esa)],[226]) ).
thf(534,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c1 )
= sk_c7 )
= $false )
| ( ( sk_c8
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[228]) ).
thf(535,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( sk_c8 = sk_c7 )
= $false )
| ( ( sk_c1 = sk_c5 )
= $false ) ),
inference(extuni,[status(esa)],[228]) ).
thf(536,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( sk_c8 = sk_c7 )
= $false )
| ( ( ( inverse @ sk_c1 )
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[228]) ).
thf(537,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c1 )
= sk_c7 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c5 @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[230]) ).
thf(538,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( sk_c8 = sk_c7 )
= $false )
| ( ( ( inverse @ sk_c1 )
= ( multiply @ sk_c5 @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[230]) ).
thf(539,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c6 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c7 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[232]) ).
thf(540,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( sk_c8 = sk_c6 )
= $false )
| ( ( sk_c3 = sk_c8 )
= $false )
| ( ( sk_c2 = sk_c7 )
= $false ) ),
inference(extuni,[status(esa)],[232]) ).
thf(541,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( sk_c8 = sk_c6 )
= $false )
| ( ( ( multiply @ sk_c2 @ sk_c3 )
= ( multiply @ sk_c7 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[232]) ).
thf(542,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $false )
| ( ( sk_c8
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[234]) ).
thf(543,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c3 )
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[234]) ).
thf(544,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c4 @ sk_c7 ) )
= $false ) ),
inference(extuni,[status(esa)],[236]) ).
thf(545,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( sk_c3 = sk_c7 )
= $false )
| ( ( sk_c2 = sk_c4 )
= $false ) ),
inference(extuni,[status(esa)],[236]) ).
thf(546,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c3 )
= ( multiply @ sk_c4 @ sk_c7 ) )
= $false ) ),
inference(extuni,[status(esa)],[236]) ).
thf(547,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c7 )
= $false )
| ( ( sk_c8
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[238]) ).
thf(548,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( sk_c8 = sk_c7 )
= $false )
| ( ( ( multiply @ sk_c2 @ sk_c3 )
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[238]) ).
thf(549,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c7 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c5 @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[240]) ).
thf(550,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( sk_c8 = sk_c7 )
= $false )
| ( ( sk_c3 = sk_c6 )
= $false )
| ( ( sk_c2 = sk_c5 )
= $false ) ),
inference(extuni,[status(esa)],[240]) ).
thf(551,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( sk_c8 = sk_c7 )
= $false )
| ( ( ( multiply @ sk_c2 @ sk_c3 )
= ( multiply @ sk_c5 @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[240]) ).
thf(552,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( inverse @ sk_c2 )
= sk_c6 )
= $false )
| ( ( sk_c3
= ( multiply @ sk_c7 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[242]) ).
thf(553,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( sk_c3 = sk_c6 )
= $false )
| ( ( ( inverse @ sk_c2 )
= ( multiply @ sk_c7 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[242]) ).
thf(554,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $false )
| ( ( sk_c3
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[244]) ).
thf(555,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( sk_c3 = sk_c8 )
= $false )
| ( ( sk_c2 = sk_c4 )
= $false ) ),
inference(extuni,[status(esa)],[244]) ).
thf(556,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( sk_c3 = sk_c8 )
= $false )
| ( ( ( inverse @ sk_c2 )
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[244]) ).
thf(557,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c2 )
= sk_c8 )
= $false )
| ( ( sk_c3
= ( multiply @ sk_c4 @ sk_c7 ) )
= $false ) ),
inference(extuni,[status(esa)],[246]) ).
thf(558,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( sk_c3 = sk_c8 )
= $false )
| ( ( ( inverse @ sk_c2 )
= ( multiply @ sk_c4 @ sk_c7 ) )
= $false ) ),
inference(extuni,[status(esa)],[246]) ).
thf(559,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c2 )
= sk_c7 )
= $false )
| ( ( sk_c3
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[248]) ).
thf(560,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( sk_c3 = sk_c7 )
= $false )
| ( ( sk_c2 = sk_c5 )
= $false ) ),
inference(extuni,[status(esa)],[248]) ).
thf(561,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( sk_c3 = sk_c7 )
= $false )
| ( ( ( inverse @ sk_c2 )
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[248]) ).
thf(562,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c2 )
= sk_c7 )
= $false )
| ( ( sk_c3
= ( multiply @ sk_c5 @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[250]) ).
thf(563,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( sk_c3 = sk_c7 )
= $false )
| ( ( ( inverse @ sk_c2 )
= ( multiply @ sk_c5 @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[250]) ).
thf(564,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c6 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c7 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[252]) ).
thf(565,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( sk_c8 = sk_c6 )
= $false )
| ( ( sk_c7 = sk_c8 )
= $false )
| ( ( sk_c3 = sk_c7 )
= $false ) ),
inference(extuni,[status(esa)],[252]) ).
thf(566,plain,
( ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true )
| ( ( sk_c8 = sk_c6 )
= $false )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= ( multiply @ sk_c7 @ sk_c8 ) )
= $false ) ),
inference(extuni,[status(esa)],[252]) ).
thf(567,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( sk_c8
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[254]) ).
thf(568,plain,
( ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= ( inverse @ sk_c4 ) )
= $false ) ),
inference(extuni,[status(esa)],[254]) ).
thf(569,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c4 @ sk_c7 ) )
= $false ) ),
inference(extuni,[status(esa)],[256]) ).
thf(570,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( sk_c3 = sk_c4 )
= $false ) ),
inference(extuni,[status(esa)],[256]) ).
thf(571,plain,
( ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= ( multiply @ sk_c4 @ sk_c7 ) )
= $false ) ),
inference(extuni,[status(esa)],[256]) ).
thf(572,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c7 )
= $false )
| ( ( sk_c8
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[258]) ).
thf(573,plain,
( ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true )
| ( ( sk_c8 = sk_c7 )
= $false )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= ( inverse @ sk_c5 ) )
= $false ) ),
inference(extuni,[status(esa)],[258]) ).
thf(574,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c7 )
= $false )
| ( ( sk_c8
= ( multiply @ sk_c5 @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[260]) ).
thf(575,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( sk_c8 = sk_c7 )
= $false )
| ( ( sk_c7 = sk_c6 )
= $false )
| ( ( sk_c3 = sk_c5 )
= $false ) ),
inference(extuni,[status(esa)],[260]) ).
thf(576,plain,
( ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true )
| ( ( sk_c8 = sk_c7 )
= $false )
| ( ( ( multiply @ sk_c3 @ sk_c7 )
= ( multiply @ sk_c5 @ sk_c6 ) )
= $false ) ),
inference(extuni,[status(esa)],[260]) ).
thf(577,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(sim,[status(thm)],[381]) ).
thf(578,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[383]) ).
thf(579,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[385]) ).
thf(580,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[387]) ).
thf(581,plain,
( ( ( ( multiply @ sk_c8 @ sk_c7 )
= sk_c6 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[389]) ).
thf(582,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(sim,[status(thm)],[391]) ).
thf(583,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[393]) ).
thf(584,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[395]) ).
thf(585,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[397]) ).
thf(586,plain,
( ( ( ( multiply @ sk_c1 @ sk_c8 )
= sk_c7 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[399]) ).
thf(587,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(sim,[status(thm)],[401]) ).
thf(588,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[403]) ).
thf(589,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[405]) ).
thf(590,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[407]) ).
thf(591,plain,
( ( ( ( inverse @ sk_c1 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[409]) ).
thf(592,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(sim,[status(thm)],[411]) ).
thf(593,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[413]) ).
thf(594,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[415]) ).
thf(595,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[417]) ).
thf(596,plain,
( ( ( ( multiply @ sk_c2 @ sk_c3 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[419]) ).
thf(597,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(sim,[status(thm)],[421]) ).
thf(598,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[423]) ).
thf(599,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[425]) ).
thf(600,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[427]) ).
thf(601,plain,
( ( ( ( inverse @ sk_c2 )
= sk_c3 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[429]) ).
thf(602,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c7 @ sk_c8 )
= sk_c6 )
= $true ) ),
inference(sim,[status(thm)],[431]) ).
thf(603,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c4 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[433]) ).
thf(604,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c4 @ sk_c7 )
= sk_c8 )
= $true ) ),
inference(sim,[status(thm)],[435]) ).
thf(605,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( inverse @ sk_c5 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[437]) ).
thf(606,plain,
( ( ( ( multiply @ sk_c3 @ sk_c7 )
= sk_c8 )
= $true )
| ( ( ( multiply @ sk_c5 @ sk_c6 )
= sk_c7 )
= $true ) ),
inference(sim,[status(thm)],[439]) ).
thf(607,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[109,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,170,147,141,140,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110]) ).
thf(608,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[607]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP279-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 10:22:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 34
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.19/0.37 (rf:0,axioms:34,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:36,loop_count:0,foatp_calls:0,translation:fof_full).......eprover: CPU time limit exceeded, terminating
% 74.35/74.53 ......
% 78.45/78.66
% 78.45/78.66 ********************************
% 78.45/78.66 * All subproblems solved! *
% 78.45/78.66 ********************************
% 78.45/78.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:34,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:607,loop_count:0,foatp_calls:2,translation:fof_full)
% 78.59/78.78
% 78.59/78.78 %**** Beginning of derivation protocol ****
% 78.59/78.78 % SZS output start CNFRefutation
% See solution above
% 78.59/78.78
% 78.59/78.78 %**** End of derivation protocol ****
% 78.59/78.78 %**** no. of clauses in derivation: 452 ****
% 78.59/78.78 %**** clause counter: 607 ****
% 78.59/78.78
% 78.59/78.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:34,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:607,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------