TSTP Solution File: CSR143^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : CSR143^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n023.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 : Fri Jul 15 21:37:31 EDT 2022
% Result : Theorem 76.65s 76.88s
% Output : CNFRefutation 76.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 134 ( 23 unt; 11 typ; 0 def)
% Number of atoms : 833 ( 363 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 964 ( 111 ~; 198 |; 2 &; 651 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 281 ( 281 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 511 ( 152 ^ 356 !; 3 ?; 511 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_husband_THFTYPE_IiioI,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_inverse_THFTYPE_IIiioIIiioIoI,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_lChris_THFTYPE_i,type,
lChris_THFTYPE_i: $i ).
thf(tp_lCorina_THFTYPE_i,type,
lCorina_THFTYPE_i: $i ).
thf(tp_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(tp_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(tp_sK1_E,type,
sK1_E: $i > $i > $i ).
thf(tp_sK2_E,type,
sK2_E: $i > $i > $i ).
thf(tp_wife_THFTYPE_IiioI,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(1,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(2,axiom,
! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(3,axiom,
! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
=> ! [INST1: $i,INST2: $i] :
( ( REL1 @ INST1 @ INST2 )
<=> ( REL2 @ INST2 @ INST1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(4,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(5,conjecture,
? [X: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(6,negated_conjecture,
( ( ? [X: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,plain,
( ( ~ ? [X: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [X: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
| ( ! [INST1: $i,INST2: $i] :
( ~ ( REL1 @ INST1 @ INST2 )
| ( REL2 @ INST2 @ INST1 ) )
& ! [INST1: $i,INST2: $i] :
( ~ ( REL2 @ INST2 @ INST1 )
| ( REL1 @ INST1 @ INST2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[3]) ).
thf(10,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(11,plain,
( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
| ( ! [INST1: $i,INST2: $i] :
( ~ ( REL1 @ INST1 @ INST2 )
| ( REL2 @ INST2 @ INST1 ) )
& ! [INST1: $i,INST2: $i] :
( ~ ( REL2 @ INST2 @ INST1 )
| ( REL1 @ INST1 @ INST2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(13,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(14,plain,
( ( ! [X: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(15,plain,
( ( ! [SX0: $i > $i > $o,SX1: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SX1 @ SX0 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( SX1 @ SX2 @ SX3 )
| ( SX0 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( SX0 @ SX3 @ SX2 )
| ( SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(16,plain,
! [SV1: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(17,plain,
! [SV2: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV2 @ lCorina_THFTYPE_i ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV3: $i > $i > $o] :
( ( ! [SY233: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SY233 @ SV3 )
| ~ ( ~ ! [SY234: $i,SY235: $i] :
( ~ ( SY233 @ SY234 @ SY235 )
| ( SV3 @ SY235 @ SY234 ) )
| ~ ! [SY236: $i,SY237: $i] :
( ~ ( SV3 @ SY237 @ SY236 )
| ( SY233 @ SY236 @ SY237 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV2: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV2 @ lCorina_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
| ~ ( ~ ! [SY238: $i,SY239: $i] :
( ~ ( SV4 @ SY238 @ SY239 )
| ( SV3 @ SY239 @ SY238 ) )
| ~ ! [SY240: $i,SY241: $i] :
( ~ ( SV3 @ SY241 @ SY240 )
| ( SV4 @ SY240 @ SY241 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(21,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ! [SY238: $i,SY239: $i] :
( ~ ( SV4 @ SY238 @ SY239 )
| ( SV3 @ SY239 @ SY238 ) )
| ~ ! [SY240: $i,SY241: $i] :
( ~ ( SV3 @ SY241 @ SY240 )
| ( SV4 @ SY240 @ SY241 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(22,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false )
| ( ( ~ ( ~ ! [SY238: $i,SY239: $i] :
( ~ ( SV4 @ SY238 @ SY239 )
| ( SV3 @ SY239 @ SY238 ) )
| ~ ! [SY240: $i,SY241: $i] :
( ~ ( SV3 @ SY241 @ SY240 )
| ( SV4 @ SY240 @ SY241 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(23,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( ~ ! [SY238: $i,SY239: $i] :
( ~ ( SV4 @ SY238 @ SY239 )
| ( SV3 @ SY239 @ SY238 ) )
| ~ ! [SY240: $i,SY241: $i] :
( ~ ( SV3 @ SY241 @ SY240 )
| ( SV4 @ SY240 @ SY241 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(24,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( ~ ! [SY238: $i,SY239: $i] :
( ~ ( SV4 @ SY238 @ SY239 )
| ( SV3 @ SY239 @ SY238 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(25,plain,
! [SV4: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ~ ! [SY240: $i,SY241: $i] :
( ~ ( SV3 @ SY241 @ SY240 )
| ( SV4 @ SY240 @ SY241 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(26,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( ! [SY238: $i,SY239: $i] :
( ~ ( SV4 @ SY238 @ SY239 )
| ( SV3 @ SY239 @ SY238 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(27,plain,
! [SV4: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ! [SY240: $i,SY241: $i] :
( ~ ( SV3 @ SY241 @ SY240 )
| ( SV4 @ SY240 @ SY241 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(28,plain,
! [SV3: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SY242: $i] :
( ~ ( SV4 @ SV5 @ SY242 )
| ( SV3 @ SY242 @ SV5 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV4: $i > $i > $o,SV6: $i,SV3: $i > $i > $o] :
( ( ( ! [SY243: $i] :
( ~ ( SV3 @ SY243 @ SV6 )
| ( SV4 @ SV6 @ SY243 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV3: $i > $i > $o,SV7: $i,SV5: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV5 @ SV7 )
| ( SV3 @ SV7 @ SV5 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV4: $i > $i > $o,SV6: $i,SV8: $i,SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ SV8 @ SV6 )
| ( SV4 @ SV6 @ SV8 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV3: $i > $i > $o,SV7: $i,SV5: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV5 @ SV7 ) )
= $true )
| ( ( SV3 @ SV7 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV4: $i > $i > $o,SV6: $i,SV8: $i,SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ SV8 @ SV6 ) )
= $true )
| ( ( SV4 @ SV6 @ SV8 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV3: $i > $i > $o,SV7: $i,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ SV7 )
= $false )
| ( ( SV3 @ SV7 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(35,plain,
! [SV4: $i > $i > $o,SV6: $i,SV8: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV8 @ SV6 )
= $false )
| ( ( SV4 @ SV6 @ SV8 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV7: $i,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ SV7 )
= $false )
| ( $false = $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : $false )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV3,$thf( ^ [SV12: $i] : ^ [SV13: $i] : $false ))]]) ).
thf(38,plain,
! [SV11: $i > $i > $o,SV7: $i,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ SV7 )
= $false )
| ( ( ~ ( SV11 @ SV7 @ SV5 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] :
~ ( SV11 @ SX0 @ SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV3,$thf( ^ [SV9: $i] : ^ [SV10: $i] : ~ ( SV11 @ SV9 @ SV10 ) ))]]) ).
thf(39,plain,
! [SV7: $i,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ SV7 )
= $false )
| ( ( ( SV7 != SV5 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV3,$thf( ^ [SY250: $i] : ^ [SY251: $i] : ( SY250 != SY251 ) ))]]) ).
thf(40,plain,
! [SV7: $i,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ SV7 )
= $false )
| ( ( SV7 = SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV3,$thf( ^ [SV17: $i] : ^ [SV16: $i] : ( SV17 = SV16 ) ))]]) ).
thf(41,plain,
! [SV5: $i,SV7: $i,SV3: $i > $i > $o] :
( ( $true = $false )
| ( ( SV3 @ SV7 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $true
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV4,$thf( ^ [SV23: $i] : ^ [SV24: $i] : $true ))]]) ).
thf(43,plain,
! [SV3: $i > $i > $o,SV7: $i,SV5: $i,SV20: $i > $i > $o] :
( ( ( ~ ( SV20 @ SV5 @ SV7 ) )
= $false )
| ( ( SV3 @ SV7 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV20 @ SX0 @ SX1 )
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV4,$thf( ^ [SV18: $i] : ^ [SV19: $i] : ~ ( SV20 @ SV18 @ SV19 ) ))]]) ).
thf(44,plain,
! [SV3: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( ( SV5 != SV7 ) )
= $false )
| ( ( SV3 @ SV7 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV4,$thf( ^ [SY261: $i] : ^ [SY262: $i] : ( SY261 != SY262 ) ))]]) ).
thf(45,plain,
! [SV3: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $false )
| ( ( SV3 @ SV7 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV4,$thf( ^ [SV26: $i] : ^ [SV25: $i] : ( SV26 = SV25 ) ))]]) ).
thf(46,plain,
! [SV8: $i,SV6: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( SV4 @ SV6 @ SV8 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : $true )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV3,$thf( ^ [SV14: $i] : ^ [SV15: $i] : $true ))]]) ).
thf(48,plain,
! [SV4: $i > $i > $o,SV6: $i,SV8: $i,SV11: $i > $i > $o] :
( ( ( ~ ( SV11 @ SV8 @ SV6 ) )
= $false )
| ( ( SV4 @ SV6 @ SV8 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] :
~ ( SV11 @ SX0 @ SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV3,$thf( ^ [SV9: $i] : ^ [SV10: $i] : ~ ( SV11 @ SV9 @ SV10 ) ))]]) ).
thf(49,plain,
! [SV4: $i > $i > $o,SV6: $i,SV8: $i] :
( ( ( ( SV8 != SV6 ) )
= $false )
| ( ( SV4 @ SV6 @ SV8 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV3,$thf( ^ [SY250: $i] : ^ [SY251: $i] : ( SY250 != SY251 ) ))]]) ).
thf(50,plain,
! [SV4: $i > $i > $o,SV6: $i,SV8: $i] :
( ( ( SV8 = SV6 )
= $false )
| ( ( SV4 @ SV6 @ SV8 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV3,$thf( ^ [SV17: $i] : ^ [SV16: $i] : ( SV17 = SV16 ) ))]]) ).
thf(52,plain,
! [SV6: $i,SV8: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV8 @ SV6 )
= $false )
| ( $false = $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $false
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV4,$thf( ^ [SV21: $i] : ^ [SV22: $i] : $false ))]]) ).
thf(53,plain,
! [SV20: $i > $i > $o,SV6: $i,SV8: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV8 @ SV6 )
= $false )
| ( ( ~ ( SV20 @ SV6 @ SV8 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV20 @ SX0 @ SX1 )
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV4,$thf( ^ [SV18: $i] : ^ [SV19: $i] : ~ ( SV20 @ SV18 @ SV19 ) ))]]) ).
thf(54,plain,
! [SV6: $i,SV8: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV8 @ SV6 )
= $false )
| ( ( ( SV6 != SV8 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV4,$thf( ^ [SY261: $i] : ^ [SY262: $i] : ( SY261 != SY262 ) ))]]) ).
thf(55,plain,
! [SV6: $i,SV8: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV8 @ SV6 )
= $false )
| ( ( SV6 = SV8 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV4,$thf( ^ [SV26: $i] : ^ [SV25: $i] : ( SV26 = SV25 ) ))]]) ).
thf(56,plain,
! [SV4: $i > $i > $o,SV5: $i,SV7: $i,SV11: $i > $i > $o] :
( ( ( SV11 @ SV7 @ SV5 )
= $false )
| ( ( SV4 @ SV5 @ SV7 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] :
~ ( SV11 @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(57,plain,
! [SV4: $i > $i > $o,SV5: $i,SV7: $i] :
( ( ( SV7 = SV5 )
= $false )
| ( ( SV4 @ SV5 @ SV7 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(58,plain,
! [SV3: $i > $i > $o,SV7: $i,SV5: $i,SV20: $i > $i > $o] :
( ( ( SV20 @ SV5 @ SV7 )
= $true )
| ( ( SV3 @ SV7 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV20 @ SX0 @ SX1 )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(59,plain,
! [SV3: $i > $i > $o,SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $true )
| ( ( SV3 @ SV7 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(60,plain,
! [SV4: $i > $i > $o,SV6: $i,SV8: $i,SV11: $i > $i > $o] :
( ( ( SV11 @ SV8 @ SV6 )
= $true )
| ( ( SV4 @ SV6 @ SV8 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] :
~ ( SV11 @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(61,plain,
! [SV4: $i > $i > $o,SV6: $i,SV8: $i] :
( ( ( SV8 = SV6 )
= $true )
| ( ( SV4 @ SV6 @ SV8 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(62,plain,
! [SV3: $i > $i > $o,SV8: $i,SV6: $i,SV20: $i > $i > $o] :
( ( ( SV20 @ SV6 @ SV8 )
= $false )
| ( ( SV3 @ SV8 @ SV6 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV20 @ SX0 @ SX1 )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(63,plain,
! [SV3: $i > $i > $o,SV8: $i,SV6: $i] :
( ( ( SV6 = SV8 )
= $false )
| ( ( SV3 @ SV8 @ SV6 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(64,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false )
| ( ( SV4 @ SV5 @ SV5 )
= $false ) ),
inference(extuni,[status(esa)],[57:[bind(SV7,$thf( SV5 ))]]) ).
thf(65,plain,
! [SV7: $i,SV3: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV3 )
= $false )
| ( ( SV3 @ SV7 @ SV7 )
= $true ) ),
inference(extuni,[status(esa)],[45:[bind(SV5,$thf( SV7 ))]]) ).
thf(66,plain,
! [SV6: $i,SV4: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false )
| ( ( SV4 @ SV6 @ SV6 )
= $true ) ),
inference(extuni,[status(esa)],[50:[bind(SV8,$thf( SV6 ))]]) ).
thf(67,plain,
! [SV8: $i,SV3: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV3 )
= $false )
| ( ( SV3 @ SV8 @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[63:[bind(SV6,$thf( SV8 ))]]) ).
thf(68,plain,
! [SV7: $i,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ SV7 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : $false )
= $false ) ),
inference(sim,[status(thm)],[37]) ).
thf(69,plain,
! [SV5: $i,SV7: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV7 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $true
@ SV3 )
= $false ) ),
inference(sim,[status(thm)],[41]) ).
thf(70,plain,
! [SV8: $i,SV6: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV6 @ SV8 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : $true )
= $false ) ),
inference(sim,[status(thm)],[46]) ).
thf(71,plain,
! [SV6: $i,SV8: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV8 @ SV6 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $false
@ SV3 )
= $false ) ),
inference(sim,[status(thm)],[52]) ).
thf(72,plain,
! [SV27: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV27 @ $true )
= $true ),
inference(rename,[status(thm)],[16]) ).
thf(73,plain,
! [SV28: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV28 @ lCorina_THFTYPE_i ) )
= $false ),
inference(rename,[status(thm)],[19]) ).
thf(74,plain,
! [SV28: $i,SV27: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV28 @ lCorina_THFTYPE_i ) )
= ( holdsDuring_THFTYPE_IiooI @ SV27 @ $true ) )
= $false ),
inference(res,[status(thm)],[73,72]) ).
thf(75,plain,
! [SV28: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV28 @ lCorina_THFTYPE_i ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ) )
= $false ),
inference(res,[status(thm)],[73,13]) ).
thf(77,plain,
! [SV28: $i] :
( ( ( husband_THFTYPE_IiioI @ SV28 @ lCorina_THFTYPE_i )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[75]) ).
thf(78,plain,
! [SV28: $i] :
( ( ( husband_THFTYPE_IiioI @ SV28 @ lCorina_THFTYPE_i )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[75]) ).
thf(80,plain,
! [SV28: $i] :
( ( ( husband_THFTYPE_IiioI @ SV28 @ lCorina_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[74:[bind(SV27,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(81,plain,
! [SV28: $i] :
( ( husband_THFTYPE_IiioI @ SV28 @ lCorina_THFTYPE_i )
= $false ),
inference(sim,[status(thm)],[80]) ).
thf(82,plain,
! [SV29: $i > $i > $o,SV30: $i,SV31: $i,SV32: $i > $i > $o] :
( ( ( SV32 @ SV31 @ SV30 )
= $false )
| ( ( SV29 @ SV30 @ SV31 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV32 @ SV29 )
= $false ) ),
inference(rename,[status(thm)],[34]) ).
thf(92,plain,
! [SV29: $i > $i > $o,SV30: $i,SV31: $i,SV32: $i > $i > $o] :
( ( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV32 @ SV29 )
= ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ) )
= $false )
| ( ( SV32 @ SV31 @ SV30 )
= $false )
| ( ( SV29 @ SV30 @ SV31 )
= $true ) ),
inference(res,[status(thm)],[82,10]) ).
thf(94,plain,
! [SV31: $i,SV30: $i,SV29: $i > $i > $o] :
( ( $true = $false )
| ( ( SV29 @ SV30 @ SV31 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $true
@ SV29 )
= $false ) ),
inference(prim_subst,[status(thm)],[82:[bind(SV32,$thf( ^ [SV38: $i] : ^ [SV39: $i] : $true ))]]) ).
thf(95,plain,
! [SV31: $i,SV30: $i,SV29: $i > $i > $o] :
( ( ( SV29 @ SV30 @ SV31 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $true
@ SV29 )
= $false ) ),
inference(sim,[status(thm)],[94]) ).
thf(97,plain,
! [SV29: $i > $i > $o,SV30: $i,SV31: $i,SV35: $i > $i > $o] :
( ( ( ~ ( SV35 @ SV31 @ SV30 ) )
= $false )
| ( ( SV29 @ SV30 @ SV31 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV35 @ SX0 @ SX1 )
@ SV29 )
= $false ) ),
inference(prim_subst,[status(thm)],[82:[bind(SV32,$thf( ^ [SV33: $i] : ^ [SV34: $i] : ~ ( SV35 @ SV33 @ SV34 ) ))]]) ).
thf(98,plain,
! [SV29: $i > $i > $o,SV30: $i,SV31: $i] :
( ( ( ( SV31 != SV30 ) )
= $false )
| ( ( SV29 @ SV30 @ SV31 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV29 )
= $false ) ),
inference(prim_subst,[status(thm)],[82:[bind(SV32,$thf( ^ [SY272: $i] : ^ [SY273: $i] : ( SY272 != SY273 ) ))]]) ).
thf(99,plain,
! [SV29: $i > $i > $o,SV30: $i,SV31: $i] :
( ( ( SV31 = SV30 )
= $false )
| ( ( SV29 @ SV30 @ SV31 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV29 )
= $false ) ),
inference(prim_subst,[status(thm)],[82:[bind(SV32,$thf( ^ [SV41: $i] : ^ [SV40: $i] : ( SV41 = SV40 ) ))]]) ).
thf(101,plain,
! [SV30: $i,SV31: $i,SV32: $i > $i > $o] :
( ( ( SV32 @ SV31 @ SV30 )
= $false )
| ( $false = $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV32
@ ^ [SX0: $i,SX1: $i] : $false )
= $false ) ),
inference(prim_subst,[status(thm)],[82:[bind(SV29,$thf( ^ [SV81: $i] : ^ [SV82: $i] : $false ))]]) ).
thf(102,plain,
! [SV30: $i,SV31: $i,SV32: $i > $i > $o] :
( ( ( SV32 @ SV31 @ SV30 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV32
@ ^ [SX0: $i,SX1: $i] : $false )
= $false ) ),
inference(sim,[status(thm)],[101]) ).
thf(103,plain,
! [SV80: $i > $i > $o,SV30: $i,SV31: $i,SV32: $i > $i > $o] :
( ( ( SV32 @ SV31 @ SV30 )
= $false )
| ( ( ~ ( SV80 @ SV30 @ SV31 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV32
@ ^ [SX0: $i,SX1: $i] :
~ ( SV80 @ SX0 @ SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[82:[bind(SV29,$thf( ^ [SV78: $i] : ^ [SV79: $i] : ~ ( SV80 @ SV78 @ SV79 ) ))]]) ).
thf(104,plain,
! [SV30: $i,SV31: $i,SV32: $i > $i > $o] :
( ( ( SV32 @ SV31 @ SV30 )
= $false )
| ( ( ( SV30 != SV31 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV32
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[82:[bind(SV29,$thf( ^ [SY304: $i] : ^ [SY305: $i] : ( SY304 != SY305 ) ))]]) ).
thf(105,plain,
! [SV30: $i,SV31: $i,SV32: $i > $i > $o] :
( ( ( SV32 @ SV31 @ SV30 )
= $false )
| ( ( SV30 = SV31 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV32
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[82:[bind(SV29,$thf( ^ [SV86: $i] : ^ [SV85: $i] : ( SV86 = SV85 ) ))]]) ).
thf(106,plain,
! [SV31: $i,SV30: $i] :
( ( ( wife_THFTYPE_IiioI @ SV30 @ SV31 )
= $true )
| ( ( husband_THFTYPE_IiioI @ SV31 @ SV30 )
= $false ) ),
inference(extuni,[status(esa)],[92:[bind(SV29,$thf( wife_THFTYPE_IiioI )),bind(SV32,$thf( husband_THFTYPE_IiioI ))]]) ).
thf(107,plain,
! [SV30: $i,SV29: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV29 )
= $false )
| ( ( SV29 @ SV30 @ SV30 )
= $true ) ),
inference(extuni,[status(esa)],[99:[bind(SV31,$thf( SV30 ))]]) ).
thf(108,plain,
! [SV29: $i > $i > $o,SV30: $i,SV31: $i,SV35: $i > $i > $o] :
( ( ( SV35 @ SV31 @ SV30 )
= $true )
| ( ( SV29 @ SV30 @ SV31 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV35 @ SX0 @ SX1 )
@ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(109,plain,
! [SV29: $i > $i > $o,SV30: $i,SV31: $i] :
( ( ( SV31 = SV30 )
= $true )
| ( ( SV29 @ SV30 @ SV31 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(110,plain,
! [SV32: $i > $i > $o,SV31: $i,SV30: $i,SV80: $i > $i > $o] :
( ( ( SV80 @ SV30 @ SV31 )
= $false )
| ( ( SV32 @ SV31 @ SV30 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV32
@ ^ [SX0: $i,SX1: $i] :
~ ( SV80 @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(111,plain,
! [SV32: $i > $i > $o,SV31: $i,SV30: $i] :
( ( ( SV30 = SV31 )
= $false )
| ( ( SV32 @ SV31 @ SV30 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV32
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(112,plain,
! [SV153: $i > $i > $o,SV154: $i,SV155: $i,SV156: $i > $i > $o] :
( ( ( SV156 @ SV155 @ SV154 )
= $false )
| ( ( SV153 @ SV154 @ SV155 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV153 @ SV156 )
= $false ) ),
inference(rename,[status(thm)],[35]) ).
thf(126,plain,
! [SV153: $i > $i > $o,SV154: $i,SV155: $i,SV156: $i > $i > $o] :
( ( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV153 @ SV156 )
= ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ) )
= $false )
| ( ( SV156 @ SV155 @ SV154 )
= $false )
| ( ( SV153 @ SV154 @ SV155 )
= $true ) ),
inference(res,[status(thm)],[112,10]) ).
thf(128,plain,
! [SV155: $i,SV154: $i,SV153: $i > $i > $o] :
( ( $true = $false )
| ( ( SV153 @ SV154 @ SV155 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV153
@ ^ [SX0: $i,SX1: $i] : $true )
= $false ) ),
inference(prim_subst,[status(thm)],[112:[bind(SV156,$thf( ^ [SV162: $i] : ^ [SV163: $i] : $true ))]]) ).
thf(129,plain,
! [SV155: $i,SV154: $i,SV153: $i > $i > $o] :
( ( ( SV153 @ SV154 @ SV155 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV153
@ ^ [SX0: $i,SX1: $i] : $true )
= $false ) ),
inference(sim,[status(thm)],[128]) ).
thf(131,plain,
! [SV153: $i > $i > $o,SV154: $i,SV155: $i,SV159: $i > $i > $o] :
( ( ( ~ ( SV159 @ SV155 @ SV154 ) )
= $false )
| ( ( SV153 @ SV154 @ SV155 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV153
@ ^ [SX0: $i,SX1: $i] :
~ ( SV159 @ SX0 @ SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[112:[bind(SV156,$thf( ^ [SV157: $i] : ^ [SV158: $i] : ~ ( SV159 @ SV157 @ SV158 ) ))]]) ).
thf(132,plain,
! [SV153: $i > $i > $o,SV154: $i,SV155: $i] :
( ( ( ( SV155 != SV154 ) )
= $false )
| ( ( SV153 @ SV154 @ SV155 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV153
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[112:[bind(SV156,$thf( ^ [SY346: $i] : ^ [SY347: $i] : ( SY346 != SY347 ) ))]]) ).
thf(133,plain,
! [SV153: $i > $i > $o,SV154: $i,SV155: $i] :
( ( ( SV155 = SV154 )
= $false )
| ( ( SV153 @ SV154 @ SV155 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV153
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[112:[bind(SV156,$thf( ^ [SV165: $i] : ^ [SV164: $i] : ( SV165 = SV164 ) ))]]) ).
thf(135,plain,
! [SV154: $i,SV155: $i,SV156: $i > $i > $o] :
( ( ( SV156 @ SV155 @ SV154 )
= $false )
| ( $false = $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $false
@ SV156 )
= $false ) ),
inference(prim_subst,[status(thm)],[112:[bind(SV153,$thf( ^ [SV205: $i] : ^ [SV206: $i] : $false ))]]) ).
thf(136,plain,
! [SV154: $i,SV155: $i,SV156: $i > $i > $o] :
( ( ( SV156 @ SV155 @ SV154 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $false
@ SV156 )
= $false ) ),
inference(sim,[status(thm)],[135]) ).
thf(137,plain,
! [SV204: $i > $i > $o,SV154: $i,SV155: $i,SV156: $i > $i > $o] :
( ( ( SV156 @ SV155 @ SV154 )
= $false )
| ( ( ~ ( SV204 @ SV154 @ SV155 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV204 @ SX0 @ SX1 )
@ SV156 )
= $false ) ),
inference(prim_subst,[status(thm)],[112:[bind(SV153,$thf( ^ [SV202: $i] : ^ [SV203: $i] : ~ ( SV204 @ SV202 @ SV203 ) ))]]) ).
thf(138,plain,
! [SV154: $i,SV155: $i,SV156: $i > $i > $o] :
( ( ( SV156 @ SV155 @ SV154 )
= $false )
| ( ( ( SV154 != SV155 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV156 )
= $false ) ),
inference(prim_subst,[status(thm)],[112:[bind(SV153,$thf( ^ [SY378: $i] : ^ [SY379: $i] : ( SY378 != SY379 ) ))]]) ).
thf(139,plain,
! [SV154: $i,SV155: $i,SV156: $i > $i > $o] :
( ( ( SV156 @ SV155 @ SV154 )
= $false )
| ( ( SV154 = SV155 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV156 )
= $false ) ),
inference(prim_subst,[status(thm)],[112:[bind(SV153,$thf( ^ [SV210: $i] : ^ [SV209: $i] : ( SV210 = SV209 ) ))]]) ).
thf(140,plain,
! [SV155: $i,SV154: $i] :
( ( ( husband_THFTYPE_IiioI @ SV154 @ SV155 )
= $true )
| ( ( wife_THFTYPE_IiioI @ SV155 @ SV154 )
= $false ) ),
inference(extuni,[status(esa)],[126:[bind(SV156,$thf( wife_THFTYPE_IiioI )),bind(SV153,$thf( husband_THFTYPE_IiioI ))]]) ).
thf(141,plain,
! [SV154: $i,SV153: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV153
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false )
| ( ( SV153 @ SV154 @ SV154 )
= $true ) ),
inference(extuni,[status(esa)],[133:[bind(SV155,$thf( SV154 ))]]) ).
thf(142,plain,
! [SV153: $i > $i > $o,SV154: $i,SV155: $i,SV159: $i > $i > $o] :
( ( ( SV159 @ SV155 @ SV154 )
= $true )
| ( ( SV153 @ SV154 @ SV155 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV153
@ ^ [SX0: $i,SX1: $i] :
~ ( SV159 @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(143,plain,
! [SV153: $i > $i > $o,SV154: $i,SV155: $i] :
( ( ( SV155 = SV154 )
= $true )
| ( ( SV153 @ SV154 @ SV155 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV153
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(144,plain,
! [SV156: $i > $i > $o,SV155: $i,SV154: $i,SV204: $i > $i > $o] :
( ( ( SV204 @ SV154 @ SV155 )
= $false )
| ( ( SV156 @ SV155 @ SV154 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV204 @ SX0 @ SX1 )
@ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(145,plain,
! [SV156: $i > $i > $o,SV155: $i,SV154: $i] :
( ( ( SV154 = SV155 )
= $false )
| ( ( SV156 @ SV155 @ SV154 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(146,plain,
! [SV283: $i,SV284: $i,SV285: $i > $i > $o] :
( ( ( SV285 @ SV284 @ SV283 )
= $false )
| ( ( SV283 = SV284 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV285
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(rename,[status(thm)],[40]) ).
thf(164,plain,
! [SV283: $i,SV284: $i,SV285: $i > $i > $o] :
( ( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV285
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ) )
= $false )
| ( ( SV285 @ SV284 @ SV283 )
= $false )
| ( ( SV283 = SV284 )
= $true ) ),
inference(res,[status(thm)],[146,10]) ).
thf(166,plain,
! [SV284: $i,SV283: $i] :
( ( $true = $false )
| ( ( SV283 = SV284 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $true
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[146:[bind(SV285,$thf( ^ [SV291: $i] : ^ [SV292: $i] : $true ))]]) ).
thf(167,plain,
! [SV284: $i,SV283: $i] :
( ( ( SV283 = SV284 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $true
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(sim,[status(thm)],[166]) ).
thf(169,plain,
! [SV283: $i,SV284: $i,SV288: $i > $i > $o] :
( ( ( ~ ( SV288 @ SV284 @ SV283 ) )
= $false )
| ( ( SV283 = SV284 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV288 @ SX0 @ SX1 )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[146:[bind(SV285,$thf( ^ [SV286: $i] : ^ [SV287: $i] : ~ ( SV288 @ SV286 @ SV287 ) ))]]) ).
thf(170,plain,
! [SV283: $i,SV284: $i] :
( ( ( ( SV284 != SV283 ) )
= $false )
| ( ( SV283 = SV284 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[146:[bind(SV285,$thf( ^ [SY422: $i] : ^ [SY423: $i] : ( SY422 != SY423 ) ))]]) ).
thf(172,plain,
! [SV284: $i,SV283: $i] :
( ( ( SV283 = SV284 )
= $true )
| ( ( husband_THFTYPE_IiioI @ SV284 @ SV283 )
= $false )
| ( ( ( sK1_E @ SV283 @ SV284 )
= ( sK2_E @ SV284 @ SV283 ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( sK1_E @ SV283 @ SV284 ) @ ( sK2_E @ SV284 @ SV283 ) )
= $true ) ),
inference(extuni,[status(esa)],[164:[bind(SV285,$thf( husband_THFTYPE_IiioI ))]]) ).
thf(173,plain,
! [SV284: $i,SV283: $i] :
( ( ( SV283 = SV284 )
= $true )
| ( ( husband_THFTYPE_IiioI @ SV284 @ SV283 )
= $false )
| ( ( ( sK1_E @ SV283 @ SV284 )
= ( sK2_E @ SV284 @ SV283 ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ ( sK1_E @ SV283 @ SV284 ) @ ( sK2_E @ SV284 @ SV283 ) )
= $false ) ),
inference(extuni,[status(esa)],[164:[bind(SV285,$thf( husband_THFTYPE_IiioI ))]]) ).
thf(175,plain,
! [SV283: $i,SV284: $i,SV288: $i > $i > $o] :
( ( ( SV288 @ SV284 @ SV283 )
= $true )
| ( ( SV283 = SV284 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV288 @ SX0 @ SX1 )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(176,plain,
! [SV283: $i,SV284: $i] :
( ( ( SV284 = SV283 )
= $true )
| ( ( SV283 = SV284 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(177,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,176,175,173,172,167,146,145,144,143,142,141,140,139,136,129,112,111,110,109,108,107,106,105,102,95,82,81,78,77,73,72,71,70,69,68,67,66,65,64,62,61,60,59,58,56,55,13]) ).
thf(178,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR143^1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n023.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 : Sat Jun 11 03:54:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 4
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:4,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:6,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.55/0.75
% 0.55/0.75 Prim_subst applied to clause
% 0.55/0.75
% 0.55/0.75 87:[ 0:<(SV32@SV31)@SV30 = $false>-w(1)-i() 1:<(SV29@SV30)@SV31 = $true>-w(1)-i() 2:<(inverse_THFTYPE_IIiioIIiioIoI@SV32)@SV29 = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 39)-o(AXIOM)-fv([ SV29 SV30 SV31 SV32 ])
% 0.59/0.76 .
% 0.59/0.79
% 0.59/0.79 Prim_subst applied to clause
% 0.59/0.79
% 0.59/0.79 87:[ 0:<(SV32@SV31)@SV30 = $false>-w(1)-i() 1:<(SV29@SV30)@SV31 = $true>-w(1)-i() 2:<(inverse_THFTYPE_IIiioIIiioIoI@SV32)@SV29 = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 39)-o(AXIOM)-fv([ SV29 SV30 SV31 SV32 ])
% 0.91/1.15 ....
% 75.55/75.76 (rf:0,axioms:4,ps:2,u:1,ude:false,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:6,loop_count:0,foatp_calls:0,translation:fof_full)....
% 75.81/76.01
% 75.81/76.01 Prim_subst applied to clause
% 75.81/76.01
% 75.81/76.01 82:[ 0:<(SV32@SV31)@SV30 = $false>-w(1)-i() 1:<(SV29@SV30)@SV31 = $true>-w(1)-i() 2:<(inverse_THFTYPE_IIiioIIiioIoI@SV32)@SV29 = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 34)-o(AXIOM)-fv([ SV29 SV30 SV31 SV32 ])
% 75.81/76.02
% 75.81/76.02 Prim_subst applied to clause
% 75.81/76.02
% 75.81/76.02 82:[ 0:<(SV32@SV31)@SV30 = $false>-w(1)-i() 1:<(SV29@SV30)@SV31 = $true>-w(1)-i() 2:<(inverse_THFTYPE_IIiioIIiioIoI@SV32)@SV29 = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 34)-o(AXIOM)-fv([ SV29 SV30 SV31 SV32 ])
% 75.96/76.21 .
% 75.96/76.21
% 75.96/76.21 Prim_subst applied to clause
% 75.96/76.21
% 75.96/76.21 112:[ 0:<(SV156@SV155)@SV154 = $false>-w(1)-i() 1:<(SV153@SV154)@SV155 = $true>-w(1)-i() 2:<(inverse_THFTYPE_IIiioIIiioIoI@SV153)@SV156 = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 35)-o(AXIOM)-fv([ SV153 SV154 SV155 SV156 ])
% 75.96/76.23
% 75.96/76.23 Prim_subst applied to clause
% 75.96/76.23
% 75.96/76.23 112:[ 0:<(SV156@SV155)@SV154 = $false>-w(1)-i() 1:<(SV153@SV154)@SV155 = $true>-w(1)-i() 2:<(inverse_THFTYPE_IIiioIIiioIoI@SV153)@SV156 = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 35)-o(AXIOM)-fv([ SV153 SV154 SV155 SV156 ])
% 76.10/76.33 .
% 76.36/76.58
% 76.36/76.58 Prim_subst applied to clause
% 76.36/76.58
% 76.36/76.58 146:[ 0:<(SV285@SV284)@SV283 = $false>-w(1)-i() 1:<SV283 = SV284 = $true>-w(1)-i() 2:<(inverse_THFTYPE_IIiioIIiioIoI@SV285)@(^[SX0:$i,SX1:$i]: (SX0 = SX1)) = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 40)-o(AXIOM)-fv([ SV283 SV284 SV285 ])
% 76.65/76.84 .
% 76.65/76.88
% 76.65/76.88 ********************************
% 76.65/76.88 * All subproblems solved! *
% 76.65/76.88 ********************************
% 76.65/76.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:2,u:1,ude:false,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:177,loop_count:7,foatp_calls:3,translation:fof_full)
% 76.65/76.89
% 76.65/76.89 %**** Beginning of derivation protocol ****
% 76.65/76.89 % SZS output start CNFRefutation
% See solution above
% 76.65/76.89
% 76.65/76.89 %**** End of derivation protocol ****
% 76.65/76.89 %**** no. of clauses in derivation: 123 ****
% 76.65/76.89 %**** clause counter: 177 ****
% 76.65/76.89
% 76.65/76.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:2,u:1,ude:false,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:177,loop_count:7,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------