TSTP Solution File: ITP209^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : ITP209^1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 23:45:04 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 27
% Syntax : Number of formulae : 144 ( 60 unt; 16 typ; 0 def)
% Number of atoms : 730 ( 426 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 2069 ( 186 ~; 163 |; 3 &;1705 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 235 ( 235 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 507 ( 5 ^ 502 !; 0 ?; 507 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_a2,type,
a2: a ).
thf(tp_b,type,
b: a ).
thf(tp_c,type,
c: a ).
thf(tp_f,type,
f: a > a > a ).
thf(tp_sK10_SY84,type,
sK10_SY84: ( a > a > a ) > a ).
thf(tp_sK1_A2,type,
sK1_A2: ( a > a > a ) > a ).
thf(tp_sK2_SY35,type,
sK2_SY35: ( a > a > a ) > a ).
thf(tp_sK3_A2,type,
sK3_A2: ( a > a > a ) > a ).
thf(tp_sK4_SY36,type,
sK4_SY36: ( a > a > a ) > a ).
thf(tp_sK5_SY38,type,
sK5_SY38: ( a > a > a ) > a ).
thf(tp_sK6_SY68,type,
sK6_SY68: ( a > a > a ) > a ).
thf(tp_sK7_SY77,type,
sK7_SY77: ( a > a > a ) > a ).
thf(tp_sK8_SY79,type,
sK8_SY79: ( a > a > a ) > a ).
thf(tp_sK9_SY71,type,
sK9_SY71: ( a > a > a ) > a ).
thf(tp_syntax_ac_operator_a,type,
syntax_ac_operator_a: ( a > a > a ) > $o ).
thf(1,axiom,
( syntax_ac_operator_a
= ( ^ [F2: a > a > a] :
( ! [A3: a,B3: a,C3: a] :
( ( F2 @ ( F2 @ A3 @ B3 ) @ C3 )
= ( F2 @ A3 @ ( F2 @ B3 @ C3 ) ) )
& ! [A3: a,B3: a] :
( ( F2 @ A3 @ B3 )
= ( F2 @ B3 @ A3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_ac__operator__def) ).
thf(2,axiom,
! [F: a > a > a,A: a,B: a,C: a] :
( ( syntax_ac_operator_a @ F )
=> ( ( F @ A @ ( F @ B @ C ) )
= ( F @ B @ ( F @ A @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_ac__operator_Oleft__commute) ).
thf(3,axiom,
! [F: a > a > a,A: a,B: a,C: a] :
( ( syntax_ac_operator_a @ F )
=> ( ( F @ ( F @ A @ B ) @ C )
= ( F @ A @ ( F @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_ac__operator_Oright__assoc) ).
thf(4,axiom,
! [F: a > a > a,A: a,B: a,C: a] :
( ( syntax_ac_operator_a @ F )
=> ( ( F @ A @ ( F @ B @ C ) )
= ( F @ ( F @ A @ B ) @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_ac__operator_Oleft__assoc) ).
thf(5,axiom,
! [F: a > a > a,A: a,B: a] :
( ( syntax_ac_operator_a @ F )
=> ( ( F @ A @ B )
= ( F @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_ac__operator_Ocommute) ).
thf(6,axiom,
! [F: a > a > a] :
( ! [A2: a,B2: a,C2: a] :
( ( F @ ( F @ A2 @ B2 ) @ C2 )
= ( F @ A2 @ ( F @ B2 @ C2 ) ) )
=> ( ! [A2: a,B2: a] :
( ( F @ A2 @ B2 )
= ( F @ B2 @ A2 ) )
=> ( syntax_ac_operator_a @ F ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_ac__operator_Ointro) ).
thf(7,axiom,
! [A: a,B: a,C: a] :
( ( f @ ( f @ A @ B ) @ C )
= ( f @ A @ ( f @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_right__assoc) ).
thf(8,axiom,
! [A: a,B: a,C: a] :
( ( f @ A @ ( f @ B @ C ) )
= ( f @ B @ ( f @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_left__commute) ).
thf(9,axiom,
! [A: a,B: a] :
( ( f @ A @ B )
= ( f @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_commute) ).
thf(10,axiom,
syntax_ac_operator_a @ f,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_ac__operator__axioms) ).
thf(11,conjecture,
( ( f @ ( f @ a2 @ b ) @ c )
= ( f @ ( f @ a2 @ c ) @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(12,negated_conjecture,
( ( ( f @ ( f @ a2 @ b ) @ c )
= ( f @ ( f @ a2 @ c ) @ b ) )
= $false ),
inference(negate_conjecture,[status(cth)],[11]) ).
thf(13,plain,
( ( ( f @ ( f @ a2 @ b ) @ c )
= ( f @ ( f @ a2 @ c ) @ b ) )
= $false ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( syntax_ac_operator_a
= ( ^ [F2: a > a > a] :
( ! [A3: a,B3: a,C3: a] :
( ( F2 @ ( F2 @ A3 @ B3 ) @ C3 )
= ( F2 @ A3 @ ( F2 @ B3 @ C3 ) ) )
& ! [A3: a,B3: a] :
( ( F2 @ A3 @ B3 )
= ( F2 @ B3 @ A3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(15,plain,
( ( ! [F: a > a > a,A: a,B: a,C: a] :
( ( syntax_ac_operator_a @ F )
=> ( ( F @ A @ ( F @ B @ C ) )
= ( F @ B @ ( F @ A @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(16,plain,
( ( ! [F: a > a > a,A: a,B: a,C: a] :
( ( syntax_ac_operator_a @ F )
=> ( ( F @ ( F @ A @ B ) @ C )
= ( F @ A @ ( F @ B @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(17,plain,
( ( ! [F: a > a > a,A: a,B: a,C: a] :
( ( syntax_ac_operator_a @ F )
=> ( ( F @ A @ ( F @ B @ C ) )
= ( F @ ( F @ A @ B ) @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(18,plain,
( ( ! [F: a > a > a,A: a,B: a] :
( ( syntax_ac_operator_a @ F )
=> ( ( F @ A @ B )
= ( F @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(19,plain,
( ( ! [F: a > a > a] :
( ! [A2: a,B2: a,C2: a] :
( ( F @ ( F @ A2 @ B2 ) @ C2 )
= ( F @ A2 @ ( F @ B2 @ C2 ) ) )
=> ( ! [A2: a,B2: a] :
( ( F @ A2 @ B2 )
= ( F @ B2 @ A2 ) )
=> ( syntax_ac_operator_a @ F ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(20,plain,
( ( ! [A: a,B: a,C: a] :
( ( f @ ( f @ A @ B ) @ C )
= ( f @ A @ ( f @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(21,plain,
( ( ! [A: a,B: a,C: a] :
( ( f @ A @ ( f @ B @ C ) )
= ( f @ B @ ( f @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(22,plain,
( ( ! [A: a,B: a] :
( ( f @ A @ B )
= ( f @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(23,plain,
( ( syntax_ac_operator_a @ f )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(24,plain,
( ( ( ( f @ ( f @ a2 @ b ) @ c )
!= ( f @ ( f @ a2 @ c ) @ b ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(25,plain,
( ( ! [F: a > a > a,A: a] :
( ~ ( syntax_ac_operator_a @ F )
| ! [B: a,C: a] :
( ( F @ A @ ( F @ B @ C ) )
= ( F @ B @ ( F @ A @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(26,plain,
( ( ! [F: a > a > a,A: a] :
( ~ ( syntax_ac_operator_a @ F )
| ! [B: a,C: a] :
( ( F @ ( F @ A @ B ) @ C )
= ( F @ A @ ( F @ B @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(27,plain,
( ( ! [F: a > a > a,A: a] :
( ~ ( syntax_ac_operator_a @ F )
| ! [B: a,C: a] :
( ( F @ A @ ( F @ B @ C ) )
= ( F @ ( F @ A @ B ) @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(28,plain,
( ( ! [F: a > a > a] :
( ~ ( syntax_ac_operator_a @ F )
| ! [A: a,B: a] :
( ( F @ A @ B )
= ( F @ B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(29,plain,
( ( ! [F: a > a > a] :
( ( ( F @ ( F @ ( sK3_A2 @ F ) @ ( sK4_SY36 @ F ) ) @ ( sK5_SY38 @ F ) )
!= ( F @ ( sK3_A2 @ F ) @ ( F @ ( sK4_SY36 @ F ) @ ( sK5_SY38 @ F ) ) ) )
| ( ( F @ ( sK1_A2 @ F ) @ ( sK2_SY35 @ F ) )
!= ( F @ ( sK2_SY35 @ F ) @ ( sK1_A2 @ F ) ) )
| ( syntax_ac_operator_a @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(30,plain,
( ( syntax_ac_operator_a @ f )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(31,plain,
( ( ! [A: a,B: a] :
( ( f @ A @ B )
= ( f @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(32,plain,
( ( ! [A: a,B: a,C: a] :
( ( f @ A @ ( f @ B @ C ) )
= ( f @ B @ ( f @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(33,plain,
( ( ! [A: a,B: a,C: a] :
( ( f @ ( f @ A @ B ) @ C )
= ( f @ A @ ( f @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(34,plain,
( ( ! [F: a > a > a] :
( ( ( F @ ( F @ ( sK3_A2 @ F ) @ ( sK4_SY36 @ F ) ) @ ( sK5_SY38 @ F ) )
!= ( F @ ( sK3_A2 @ F ) @ ( F @ ( sK4_SY36 @ F ) @ ( sK5_SY38 @ F ) ) ) )
| ( ( F @ ( sK1_A2 @ F ) @ ( sK2_SY35 @ F ) )
!= ( F @ ( sK2_SY35 @ F ) @ ( sK1_A2 @ F ) ) )
| ( syntax_ac_operator_a @ F ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(35,plain,
( ( ! [F: a > a > a] :
( ~ ( syntax_ac_operator_a @ F )
| ! [A: a,B: a] :
( ( F @ A @ B )
= ( F @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(36,plain,
( ( ! [F: a > a > a,A: a] :
( ~ ( syntax_ac_operator_a @ F )
| ! [B: a,C: a] :
( ( F @ A @ ( F @ B @ C ) )
= ( F @ ( F @ A @ B ) @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(37,plain,
( ( ! [F: a > a > a,A: a] :
( ~ ( syntax_ac_operator_a @ F )
| ! [B: a,C: a] :
( ( F @ ( F @ A @ B ) @ C )
= ( F @ A @ ( F @ B @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(38,plain,
( ( ! [F: a > a > a,A: a] :
( ~ ( syntax_ac_operator_a @ F )
| ! [B: a,C: a] :
( ( F @ A @ ( F @ B @ C ) )
= ( F @ B @ ( F @ A @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(39,plain,
( ( syntax_ac_operator_a
= ( ^ [F2: a > a > a] :
( ! [A3: a,B3: a,C3: a] :
( ( F2 @ ( F2 @ A3 @ B3 ) @ C3 )
= ( F2 @ A3 @ ( F2 @ B3 @ C3 ) ) )
& ! [A3: a,B3: a] :
( ( F2 @ A3 @ B3 )
= ( F2 @ B3 @ A3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(40,plain,
( ( ( ( f @ ( f @ a2 @ b ) @ c )
!= ( f @ ( f @ a2 @ c ) @ b ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(41,plain,
( ( syntax_ac_operator_a
= ( ^ [SX0: a > a > a] :
~ ( ~ ! [SX1: a,SX2: a,SX3: a] :
( ( SX0 @ ( SX0 @ SX1 @ SX2 ) @ SX3 )
= ( SX0 @ SX1 @ ( SX0 @ SX2 @ SX3 ) ) )
| ~ ! [SX1: a,SX2: a] :
( ( SX0 @ SX1 @ SX2 )
= ( SX0 @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(42,plain,
! [SV1: a] :
( ( ! [SY39: a] :
( ( f @ SV1 @ SY39 )
= ( f @ SY39 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(43,plain,
! [SV2: a] :
( ( ! [SY40: a,SY41: a] :
( ( f @ SV2 @ ( f @ SY40 @ SY41 ) )
= ( f @ SY40 @ ( f @ SV2 @ SY41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(44,plain,
! [SV3: a] :
( ( ! [SY42: a,SY43: a] :
( ( f @ ( f @ SV3 @ SY42 ) @ SY43 )
= ( f @ SV3 @ ( f @ SY42 @ SY43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(45,plain,
! [SV4: a > a > a] :
( ( ( ( SV4 @ ( SV4 @ ( sK3_A2 @ SV4 ) @ ( sK4_SY36 @ SV4 ) ) @ ( sK5_SY38 @ SV4 ) )
!= ( SV4 @ ( sK3_A2 @ SV4 ) @ ( SV4 @ ( sK4_SY36 @ SV4 ) @ ( sK5_SY38 @ SV4 ) ) ) )
| ( ( SV4 @ ( sK1_A2 @ SV4 ) @ ( sK2_SY35 @ SV4 ) )
!= ( SV4 @ ( sK2_SY35 @ SV4 ) @ ( sK1_A2 @ SV4 ) ) )
| ( syntax_ac_operator_a @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(46,plain,
! [SV5: a > a > a] :
( ( ~ ( syntax_ac_operator_a @ SV5 )
| ! [SY44: a,SY45: a] :
( ( SV5 @ SY44 @ SY45 )
= ( SV5 @ SY45 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(47,plain,
! [SV6: a > a > a] :
( ( ! [SY46: a] :
( ~ ( syntax_ac_operator_a @ SV6 )
| ! [SY47: a,SY48: a] :
( ( SV6 @ SY46 @ ( SV6 @ SY47 @ SY48 ) )
= ( SV6 @ ( SV6 @ SY46 @ SY47 ) @ SY48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(48,plain,
! [SV7: a > a > a] :
( ( ! [SY49: a] :
( ~ ( syntax_ac_operator_a @ SV7 )
| ! [SY50: a,SY51: a] :
( ( SV7 @ ( SV7 @ SY49 @ SY50 ) @ SY51 )
= ( SV7 @ SY49 @ ( SV7 @ SY50 @ SY51 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(49,plain,
! [SV8: a > a > a] :
( ( ! [SY52: a] :
( ~ ( syntax_ac_operator_a @ SV8 )
| ! [SY53: a,SY54: a] :
( ( SV8 @ SY52 @ ( SV8 @ SY53 @ SY54 ) )
= ( SV8 @ SY53 @ ( SV8 @ SY52 @ SY54 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(50,plain,
( ( ( f @ ( f @ a2 @ b ) @ c )
= ( f @ ( f @ a2 @ c ) @ b ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(51,plain,
( ( ! [SV9: a > a > a] :
( ( syntax_ac_operator_a @ SV9 )
= ( ~ ( ~ ! [SY55: a,SY56: a,SY57: a] :
( ( SV9 @ ( SV9 @ SY55 @ SY56 ) @ SY57 )
= ( SV9 @ SY55 @ ( SV9 @ SY56 @ SY57 ) ) )
| ~ ! [SY58: a,SY59: a] :
( ( SV9 @ SY58 @ SY59 )
= ( SV9 @ SY59 @ SY58 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[41]) ).
thf(52,plain,
( ( syntax_ac_operator_a
= ( ^ [SX0: a > a > a] :
~ ( ~ ! [SX1: a,SX2: a,SX3: a] :
( ( SX0 @ ( SX0 @ SX1 @ SX2 ) @ SX3 )
= ( SX0 @ SX1 @ ( SX0 @ SX2 @ SX3 ) ) )
| ~ ! [SX1: a,SX2: a] :
( ( SX0 @ SX1 @ SX2 )
= ( SX0 @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[41]) ).
thf(53,plain,
! [SV10: a,SV1: a] :
( ( ( f @ SV1 @ SV10 )
= ( f @ SV10 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(54,plain,
! [SV11: a,SV2: a] :
( ( ! [SY60: a] :
( ( f @ SV2 @ ( f @ SV11 @ SY60 ) )
= ( f @ SV11 @ ( f @ SV2 @ SY60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(55,plain,
! [SV12: a,SV3: a] :
( ( ! [SY61: a] :
( ( f @ ( f @ SV3 @ SV12 ) @ SY61 )
= ( f @ SV3 @ ( f @ SV12 @ SY61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(56,plain,
! [SV4: a > a > a] :
( ( ( ( ( SV4 @ ( SV4 @ ( sK3_A2 @ SV4 ) @ ( sK4_SY36 @ SV4 ) ) @ ( sK5_SY38 @ SV4 ) )
!= ( SV4 @ ( sK3_A2 @ SV4 ) @ ( SV4 @ ( sK4_SY36 @ SV4 ) @ ( sK5_SY38 @ SV4 ) ) ) ) )
= $true )
| ( ( ( ( SV4 @ ( sK1_A2 @ SV4 ) @ ( sK2_SY35 @ SV4 ) )
!= ( SV4 @ ( sK2_SY35 @ SV4 ) @ ( sK1_A2 @ SV4 ) ) )
| ( syntax_ac_operator_a @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(57,plain,
! [SV5: a > a > a] :
( ( ( ~ ( syntax_ac_operator_a @ SV5 ) )
= $true )
| ( ( ! [SY44: a,SY45: a] :
( ( SV5 @ SY44 @ SY45 )
= ( SV5 @ SY45 @ SY44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(58,plain,
! [SV13: a,SV6: a > a > a] :
( ( ~ ( syntax_ac_operator_a @ SV6 )
| ! [SY62: a,SY63: a] :
( ( SV6 @ SV13 @ ( SV6 @ SY62 @ SY63 ) )
= ( SV6 @ ( SV6 @ SV13 @ SY62 ) @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(59,plain,
! [SV14: a,SV7: a > a > a] :
( ( ~ ( syntax_ac_operator_a @ SV7 )
| ! [SY64: a,SY65: a] :
( ( SV7 @ ( SV7 @ SV14 @ SY64 ) @ SY65 )
= ( SV7 @ SV14 @ ( SV7 @ SY64 @ SY65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(60,plain,
! [SV15: a,SV8: a > a > a] :
( ( ~ ( syntax_ac_operator_a @ SV8 )
| ! [SY66: a,SY67: a] :
( ( SV8 @ SV15 @ ( SV8 @ SY66 @ SY67 ) )
= ( SV8 @ SY66 @ ( SV8 @ SV15 @ SY67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(61,plain,
! [SV16: a > a > a] :
( ( ( syntax_ac_operator_a @ SV16 )
= ( ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(62,plain,
! [SV17: a,SV11: a,SV2: a] :
( ( ( f @ SV2 @ ( f @ SV11 @ SV17 ) )
= ( f @ SV11 @ ( f @ SV2 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV18: a,SV12: a,SV3: a] :
( ( ( f @ ( f @ SV3 @ SV12 ) @ SV18 )
= ( f @ SV3 @ ( f @ SV12 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(64,plain,
! [SV4: a > a > a] :
( ( ( ( SV4 @ ( SV4 @ ( sK3_A2 @ SV4 ) @ ( sK4_SY36 @ SV4 ) ) @ ( sK5_SY38 @ SV4 ) )
= ( SV4 @ ( sK3_A2 @ SV4 ) @ ( SV4 @ ( sK4_SY36 @ SV4 ) @ ( sK5_SY38 @ SV4 ) ) ) )
= $false )
| ( ( ( ( SV4 @ ( sK1_A2 @ SV4 ) @ ( sK2_SY35 @ SV4 ) )
!= ( SV4 @ ( sK2_SY35 @ SV4 ) @ ( sK1_A2 @ SV4 ) ) )
| ( syntax_ac_operator_a @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(65,plain,
! [SV5: a > a > a] :
( ( ( syntax_ac_operator_a @ SV5 )
= $false )
| ( ( ! [SY44: a,SY45: a] :
( ( SV5 @ SY44 @ SY45 )
= ( SV5 @ SY45 @ SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(66,plain,
! [SV13: a,SV6: a > a > a] :
( ( ( ~ ( syntax_ac_operator_a @ SV6 ) )
= $true )
| ( ( ! [SY62: a,SY63: a] :
( ( SV6 @ SV13 @ ( SV6 @ SY62 @ SY63 ) )
= ( SV6 @ ( SV6 @ SV13 @ SY62 ) @ SY63 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(67,plain,
! [SV14: a,SV7: a > a > a] :
( ( ( ~ ( syntax_ac_operator_a @ SV7 ) )
= $true )
| ( ( ! [SY64: a,SY65: a] :
( ( SV7 @ ( SV7 @ SV14 @ SY64 ) @ SY65 )
= ( SV7 @ SV14 @ ( SV7 @ SY64 @ SY65 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(68,plain,
! [SV15: a,SV8: a > a > a] :
( ( ( ~ ( syntax_ac_operator_a @ SV8 ) )
= $true )
| ( ( ! [SY66: a,SY67: a] :
( ( SV8 @ SV15 @ ( SV8 @ SY66 @ SY67 ) )
= ( SV8 @ SY66 @ ( SV8 @ SV15 @ SY67 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(69,plain,
! [SV16: a > a > a] :
( ( ~ ( ( syntax_ac_operator_a @ SV16 )
| ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) )
| ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[61]) ).
thf(70,plain,
! [SV16: a > a > a] :
( ( ( syntax_ac_operator_a @ SV16 )
= ( ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[61]) ).
thf(71,plain,
! [SV4: a > a > a] :
( ( ( ( ( SV4 @ ( sK1_A2 @ SV4 ) @ ( sK2_SY35 @ SV4 ) )
!= ( SV4 @ ( sK2_SY35 @ SV4 ) @ ( sK1_A2 @ SV4 ) ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV4 )
= $true )
| ( ( ( SV4 @ ( SV4 @ ( sK3_A2 @ SV4 ) @ ( sK4_SY36 @ SV4 ) ) @ ( sK5_SY38 @ SV4 ) )
= ( SV4 @ ( sK3_A2 @ SV4 ) @ ( SV4 @ ( sK4_SY36 @ SV4 ) @ ( sK5_SY38 @ SV4 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV19: a,SV5: a > a > a] :
( ( ( ! [SY73: a] :
( ( SV5 @ SV19 @ SY73 )
= ( SV5 @ SY73 @ SV19 ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(73,plain,
! [SV13: a,SV6: a > a > a] :
( ( ( syntax_ac_operator_a @ SV6 )
= $false )
| ( ( ! [SY62: a,SY63: a] :
( ( SV6 @ SV13 @ ( SV6 @ SY62 @ SY63 ) )
= ( SV6 @ ( SV6 @ SV13 @ SY62 ) @ SY63 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV14: a,SV7: a > a > a] :
( ( ( syntax_ac_operator_a @ SV7 )
= $false )
| ( ( ! [SY64: a,SY65: a] :
( ( SV7 @ ( SV7 @ SV14 @ SY64 ) @ SY65 )
= ( SV7 @ SV14 @ ( SV7 @ SY64 @ SY65 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(75,plain,
! [SV15: a,SV8: a > a > a] :
( ( ( syntax_ac_operator_a @ SV8 )
= $false )
| ( ( ! [SY66: a,SY67: a] :
( ( SV8 @ SV15 @ ( SV8 @ SY66 @ SY67 ) )
= ( SV8 @ SY66 @ ( SV8 @ SV15 @ SY67 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(76,plain,
! [SV16: a > a > a] :
( ( ( ~ ( ( syntax_ac_operator_a @ SV16 )
| ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV4: a > a > a] :
( ( ( ( SV4 @ ( sK1_A2 @ SV4 ) @ ( sK2_SY35 @ SV4 ) )
= ( SV4 @ ( sK2_SY35 @ SV4 ) @ ( sK1_A2 @ SV4 ) ) )
= $false )
| ( ( syntax_ac_operator_a @ SV4 )
= $true )
| ( ( ( SV4 @ ( SV4 @ ( sK3_A2 @ SV4 ) @ ( sK4_SY36 @ SV4 ) ) @ ( sK5_SY38 @ SV4 ) )
= ( SV4 @ ( sK3_A2 @ SV4 ) @ ( SV4 @ ( sK4_SY36 @ SV4 ) @ ( sK5_SY38 @ SV4 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(78,plain,
! [SV20: a,SV19: a,SV5: a > a > a] :
( ( ( ( SV5 @ SV19 @ SV20 )
= ( SV5 @ SV20 @ SV19 ) )
= $true )
| ( ( syntax_ac_operator_a @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV21: a,SV13: a,SV6: a > a > a] :
( ( ( ! [SY74: a] :
( ( SV6 @ SV13 @ ( SV6 @ SV21 @ SY74 ) )
= ( SV6 @ ( SV6 @ SV13 @ SV21 ) @ SY74 ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(80,plain,
! [SV22: a,SV14: a,SV7: a > a > a] :
( ( ( ! [SY75: a] :
( ( SV7 @ ( SV7 @ SV14 @ SV22 ) @ SY75 )
= ( SV7 @ SV14 @ ( SV7 @ SV22 @ SY75 ) ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(81,plain,
! [SV23: a,SV15: a,SV8: a > a > a] :
( ( ( ! [SY76: a] :
( ( SV8 @ SV15 @ ( SV8 @ SV23 @ SY76 ) )
= ( SV8 @ SV23 @ ( SV8 @ SV15 @ SY76 ) ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(82,plain,
! [SV16: a > a > a] :
( ( ( ( syntax_ac_operator_a @ SV16 )
| ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) )
= $false )
| ( ( ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(83,plain,
! [SV24: a,SV21: a,SV13: a,SV6: a > a > a] :
( ( ( ( SV6 @ SV13 @ ( SV6 @ SV21 @ SV24 ) )
= ( SV6 @ ( SV6 @ SV13 @ SV21 ) @ SV24 ) )
= $true )
| ( ( syntax_ac_operator_a @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(84,plain,
! [SV25: a,SV22: a,SV14: a,SV7: a > a > a] :
( ( ( ( SV7 @ ( SV7 @ SV14 @ SV22 ) @ SV25 )
= ( SV7 @ SV14 @ ( SV7 @ SV22 @ SV25 ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(85,plain,
! [SV26: a,SV23: a,SV15: a,SV8: a > a > a] :
( ( ( ( SV8 @ SV15 @ ( SV8 @ SV23 @ SV26 ) )
= ( SV8 @ SV23 @ ( SV8 @ SV15 @ SV26 ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(86,plain,
! [SV16: a > a > a] :
( ( ( syntax_ac_operator_a @ SV16 )
= $false )
| ( ( ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(87,plain,
! [SV16: a > a > a] :
( ( ( ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) )
= $false )
| ( ( ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(88,plain,
! [SV16: a > a > a] :
( ( ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) )
= $false )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(89,plain,
! [SV16: a > a > a] :
( ( ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) )
= $true )
| ( ( ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(90,plain,
! [SV16: a > a > a] :
( ( ( ~ ( syntax_ac_operator_a @ SV16 ) )
= $false )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(91,plain,
! [SV16: a > a > a] :
( ( ( ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) )
= $false )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(92,plain,
! [SV16: a > a > a] :
( ( ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) ) )
= $true )
| ( ( ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) )
= $true )
| ( ( ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(93,plain,
! [SV16: a > a > a] :
( ( ( syntax_ac_operator_a @ SV16 )
= $true )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(94,plain,
! [SV16: a > a > a] :
( ( ( ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(95,plain,
! [SV16: a > a > a] :
( ( ( ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) ) )
= $false )
| ( ( ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) )
= $true )
| ( ( ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(96,plain,
! [SV16: a > a > a] :
( ( ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) )
= $false )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(97,plain,
! [SV16: a > a > a] :
( ( ( ! [SY77: a,SY78: a] :
( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ SY77 ) @ SY78 )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ SY77 @ SY78 ) ) ) )
= $false )
| ( ( ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) )
= $true )
| ( ( ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[95]) ).
thf(98,plain,
! [SV16: a > a > a] :
( ( ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) ) )
= $false )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(99,plain,
! [SV16: a > a > a] :
( ( ( ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) )
= $false )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(100,plain,
! [SV16: a > a > a] :
( ( ( ! [SY79: a] :
( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ SY79 )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ SY79 ) ) ) )
= $false )
| ( ( ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) )
= $true )
| ( ( ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[97]) ).
thf(101,plain,
! [SV16: a > a > a] :
( ( ( ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(102,plain,
! [SV16: a > a > a] :
( ( ( ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(103,plain,
! [SV16: a > a > a] :
( ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) )
= $true )
| ( ( ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[100]) ).
thf(104,plain,
! [SV27: a,SV16: a > a > a] :
( ( ( ! [SY80: a,SY81: a] :
( ( SV16 @ ( SV16 @ SV27 @ SY80 ) @ SY81 )
= ( SV16 @ SV27 @ ( SV16 @ SY80 @ SY81 ) ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(105,plain,
! [SV28: a,SV16: a > a > a] :
( ( ( ! [SY82: a] :
( ( SV16 @ SV28 @ SY82 )
= ( SV16 @ SY82 @ SV28 ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(106,plain,
! [SV16: a > a > a] :
( ( ( ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) )
= $false )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(107,plain,
! [SV29: a,SV27: a,SV16: a > a > a] :
( ( ( ! [SY83: a] :
( ( SV16 @ ( SV16 @ SV27 @ SV29 ) @ SY83 )
= ( SV16 @ SV27 @ ( SV16 @ SV29 @ SY83 ) ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(108,plain,
! [SV30: a,SV28: a,SV16: a > a > a] :
( ( ( ( SV16 @ SV28 @ SV30 )
= ( SV16 @ SV30 @ SV28 ) )
= $true )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(109,plain,
! [SV16: a > a > a] :
( ( ( ! [SY84: a] :
( ( SV16 @ ( sK9_SY71 @ SV16 ) @ SY84 )
= ( SV16 @ SY84 @ ( sK9_SY71 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[106]) ).
thf(110,plain,
! [SV31: a,SV29: a,SV27: a,SV16: a > a > a] :
( ( ( ( SV16 @ ( SV16 @ SV27 @ SV29 ) @ SV31 )
= ( SV16 @ SV27 @ ( SV16 @ SV29 @ SV31 ) ) )
= $true )
| ( ( syntax_ac_operator_a @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(111,plain,
! [SV16: a > a > a] :
( ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ~ ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[109]) ).
thf(112,plain,
! [SV16: a > a > a] :
( ( ( ~ ( syntax_ac_operator_a @ SV16 )
| ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) )
= $false )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(113,plain,
! [SV16: a > a > a] :
( ( ( ~ ( syntax_ac_operator_a @ SV16 ) )
= $false )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(114,plain,
! [SV16: a > a > a] :
( ( ( ~ ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) )
= $false )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(115,plain,
! [SV16: a > a > a] :
( ( ( syntax_ac_operator_a @ SV16 )
= $true )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(116,plain,
! [SV16: a > a > a] :
( ( ( ~ ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) ) )
= $true )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(117,plain,
! [SV16: a > a > a] :
( ( ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) )
| ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) )
= $false )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(118,plain,
! [SV16: a > a > a] :
( ( ( ~ ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) ) )
= $false )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(119,plain,
! [SV16: a > a > a] :
( ( ( ~ ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) )
= $false )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(120,plain,
! [SV16: a > a > a] :
( ( ( ! [SY68: a,SY69: a,SY70: a] :
( ( SV16 @ ( SV16 @ SY68 @ SY69 ) @ SY70 )
= ( SV16 @ SY68 @ ( SV16 @ SY69 @ SY70 ) ) ) )
= $true )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(121,plain,
! [SV16: a > a > a] :
( ( ( ! [SY71: a,SY72: a] :
( ( SV16 @ SY71 @ SY72 )
= ( SV16 @ SY72 @ SY71 ) ) )
= $true )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(122,plain,
! [SV32: a,SV16: a > a > a] :
( ( ( ! [SY85: a,SY86: a] :
( ( SV16 @ ( SV16 @ SV32 @ SY85 ) @ SY86 )
= ( SV16 @ SV32 @ ( SV16 @ SY85 @ SY86 ) ) ) )
= $true )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(123,plain,
! [SV33: a,SV16: a > a > a] :
( ( ( ! [SY87: a] :
( ( SV16 @ SV33 @ SY87 )
= ( SV16 @ SY87 @ SV33 ) ) )
= $true )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(124,plain,
! [SV34: a,SV32: a,SV16: a > a > a] :
( ( ( ! [SY88: a] :
( ( SV16 @ ( SV16 @ SV32 @ SV34 ) @ SY88 )
= ( SV16 @ SV32 @ ( SV16 @ SV34 @ SY88 ) ) ) )
= $true )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(125,plain,
! [SV35: a,SV33: a,SV16: a > a > a] :
( ( ( ( SV16 @ SV33 @ SV35 )
= ( SV16 @ SV35 @ SV33 ) )
= $true )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(126,plain,
! [SV36: a,SV34: a,SV32: a,SV16: a > a > a] :
( ( ( ( SV16 @ ( SV16 @ SV32 @ SV34 ) @ SV36 )
= ( SV16 @ SV32 @ ( SV16 @ SV34 @ SV36 ) ) )
= $true )
| ( ( ( SV16 @ ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( sK7_SY77 @ SV16 ) ) @ ( sK8_SY79 @ SV16 ) )
= ( SV16 @ ( sK6_SY68 @ SV16 ) @ ( SV16 @ ( sK7_SY77 @ SV16 ) @ ( sK8_SY79 @ SV16 ) ) ) )
= $false )
| ( ( ( SV16 @ ( sK9_SY71 @ SV16 ) @ ( sK10_SY84 @ SV16 ) )
= ( SV16 @ ( sK10_SY84 @ SV16 ) @ ( sK9_SY71 @ SV16 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(127,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[30,126,125,115,110,108,93,85,84,83,78,77,70,63,62,53,52,50]) ).
thf(128,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP209^1 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 2 20:12:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 10
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.36 (rf:0,axioms:10,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:12,loop_count:0,foatp_calls:0,translation:fof_full).........
% 0.19/0.45
% 0.19/0.45 ********************************
% 0.19/0.45 * All subproblems solved! *
% 0.19/0.45 ********************************
% 0.19/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:10,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:127,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.45
% 0.19/0.45 %**** Beginning of derivation protocol ****
% 0.19/0.45 % SZS output start CNFRefutation
% See solution above
% 0.19/0.45
% 0.19/0.45 %**** End of derivation protocol ****
% 0.19/0.45 %**** no. of clauses in derivation: 128 ****
% 0.19/0.45 %**** clause counter: 127 ****
% 0.19/0.45
% 0.19/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:10,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:127,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------