%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR144^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:16:14 AM UTC 2026
% Result : Theorem 0.53s 0.28s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 110 ( 45 unt; 0 typ; 0 def)
% Number of atoms : 726 ( 189 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 958 ( 125 ~; 114 |; 0 &; 710 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 76 ( 76 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 234 ( 0 ^; 223 !; 11 ?; 234 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_believes_THFTYPE_IiooI,type,
believes_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_considers_THFTYPE_IiooI,type,
considers_THFTYPE_IiooI: $i > $o > $o ).
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_lMax_THFTYPE_i,type,
lMax_THFTYPE_i: $i ).
thf(tp_sK1_SY16,type,
sK1_SY16: $o > $i > $i ).
thf(tp_sK2_SY17,type,
sK2_SY17: $i > $i ).
thf(tp_sK3_SY18,type,
sK3_SY18: $i > $i ).
thf(tp_wife_THFTYPE_IiioI,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(1,axiom,
! [X: $i] :
~ ? [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X @ lMax_THFTYPE_i ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).
thf(2,axiom,
! [FORMULA: $o,AGENT: $i] :
( ( believes_THFTYPE_IiooI @ AGENT @ FORMULA )
=> ? [TIME: $i] : ( holdsDuring_THFTYPE_IiooI @ TIME @ ( considers_THFTYPE_IiooI @ AGENT @ FORMULA ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(4,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(5,conjecture,
? [Z: $i] :
~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(6,negated_conjecture,
( ( ? [Z: $i] :
~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Z ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,plain,
( ( ? [Z: $i] :
~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Z ) ) )
= $false ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [X: $i] :
~ ? [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X @ lMax_THFTYPE_i ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( ! [FORMULA: $o,AGENT: $i] :
( ( believes_THFTYPE_IiooI @ AGENT @ FORMULA )
=> ? [TIME: $i] : ( holdsDuring_THFTYPE_IiooI @ TIME @ ( considers_THFTYPE_IiooI @ AGENT @ FORMULA ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(10,plain,
( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
=> ! [INST1: $i,INST2: $i] :
( ( REL1 @ INST1 @ INST2 )
<=> ( REL2 @ INST2 @ INST1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(11,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(12,plain,
( ( ~ ? [Z: $i] :
~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Z ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(13,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(14,plain,
( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
=> ! [INST1: $i,INST2: $i] :
( ( REL1 @ INST1 @ INST2 )
<=> ( REL2 @ INST2 @ INST1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( ! [FORMULA: $o,AGENT: $i] :
( ( believes_THFTYPE_IiooI @ AGENT @ FORMULA )
=> ? [TIME: $i] : ( holdsDuring_THFTYPE_IiooI @ TIME @ ( considers_THFTYPE_IiooI @ AGENT @ FORMULA ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(16,plain,
( ( ! [X: $i] :
~ ? [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X @ lMax_THFTYPE_i ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(17,plain,
( ( ~ ? [Z: $i] :
~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ! [SX0: $o,SX1: $i] :
( ~ ( believes_THFTYPE_IiooI @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SX2 @ ( considers_THFTYPE_IiooI @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(19,plain,
( ( ! [SX0: $i > $i > $o,SX1: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SX1 @ SX0 )
| ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( SX1 @ SX2 @ SX3 )
| ( SX0 @ SX3 @ SX2 ) )
| ~ ( ~ ( SX0 @ SX3 @ SX2 )
| ( SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(20,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SX1 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SX0 @ lMax_THFTYPE_i ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(21,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(22,plain,
! [SV1: $o] :
( ( ! [SY10: $i] :
( ~ ( believes_THFTYPE_IiooI @ SY10 @ SV1 )
| ~ ! [SY11: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY11 @ ( considers_THFTYPE_IiooI @ SY10 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[18]) ).
thf(23,plain,
( ( ! [SX0: $i] :
( ~ ( believes_THFTYPE_IiooI @ SX0 @ $true )
| ~ ! [SX1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SX1 @ ( considers_THFTYPE_IiooI @ SX0 @ $true ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[18]) ).
thf(24,plain,
( ( ! [SX0: $i] :
( ~ ( believes_THFTYPE_IiooI @ SX0 @ $false )
| ~ ! [SX1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SX1 @ ( considers_THFTYPE_IiooI @ SX0 @ $false ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[18]) ).
thf(25,plain,
! [SV2: $i > $i > $o] :
( ( ! [SY12: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SY12 @ SV2 )
| ! [SY13: $i,SY14: $i] :
~ ( ~ ( ~ ( SY12 @ SY13 @ SY14 )
| ( SV2 @ SY14 @ SY13 ) )
| ~ ( ~ ( SV2 @ SY14 @ SY13 )
| ( SY12 @ SY13 @ SY14 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(26,plain,
! [SV3: $i] :
( ( ~ ~ ! [SY15: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY15 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV3 @ lMax_THFTYPE_i ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(27,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(28,plain,
! [SV1: $o,SV4: $i] :
( ( ~ ( believes_THFTYPE_IiooI @ SV4 @ SV1 )
| ~ ! [SY16: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY16 @ ( considers_THFTYPE_IiooI @ SV4 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(29,plain,
! [SV5: $i] :
( ( ~ ( believes_THFTYPE_IiooI @ SV5 @ $true )
| ~ ! [SY17: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY17 @ ( considers_THFTYPE_IiooI @ SV5 @ $true ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(30,plain,
! [SV6: $i] :
( ( ~ ( believes_THFTYPE_IiooI @ SV6 @ $false )
| ~ ! [SY18: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY18 @ ( considers_THFTYPE_IiooI @ SV6 @ $false ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(31,plain,
! [SV2: $i > $i > $o,SV7: $i > $i > $o] :
( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 )
| ! [SY19: $i,SY20: $i] :
~ ( ~ ( ~ ( SV7 @ SY19 @ SY20 )
| ( SV2 @ SY20 @ SY19 ) )
| ~ ( ~ ( SV2 @ SY20 @ SY19 )
| ( SV7 @ SY19 @ SY20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(32,plain,
! [SV3: $i] :
( ( ~ ! [SY15: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY15 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV3 @ lMax_THFTYPE_i ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(33,plain,
( ( ! [SX0: $i] :
~ ~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(34,plain,
! [SV1: $o,SV4: $i] :
( ( ( ~ ( believes_THFTYPE_IiooI @ SV4 @ SV1 ) )
= $true )
| ( ( ~ ! [SY16: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY16 @ ( considers_THFTYPE_IiooI @ SV4 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV5: $i] :
( ( ( ~ ( believes_THFTYPE_IiooI @ SV5 @ $true ) )
= $true )
| ( ( ~ ! [SY17: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY17 @ ( considers_THFTYPE_IiooI @ SV5 @ $true ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV6: $i] :
( ( ( ~ ( believes_THFTYPE_IiooI @ SV6 @ $false ) )
= $true )
| ( ( ~ ! [SY18: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY18 @ ( considers_THFTYPE_IiooI @ SV6 @ $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(37,plain,
! [SV2: $i > $i > $o,SV7: $i > $i > $o] :
( ( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 ) )
= $true )
| ( ( ! [SY19: $i,SY20: $i] :
~ ( ~ ( ~ ( SV7 @ SY19 @ SY20 )
| ( SV2 @ SY20 @ SY19 ) )
| ~ ( ~ ( SV2 @ SY20 @ SY19 )
| ( SV7 @ SY19 @ SY20 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(38,plain,
! [SV3: $i] :
( ( ! [SY15: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY15 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV3 @ lMax_THFTYPE_i ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(39,plain,
! [SV8: $i] :
( ( ~ ~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV1: $o,SV4: $i] :
( ( ( believes_THFTYPE_IiooI @ SV4 @ SV1 )
= $false )
| ( ( ~ ! [SY16: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY16 @ ( considers_THFTYPE_IiooI @ SV4 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV5: $i] :
( ( ( believes_THFTYPE_IiooI @ SV5 @ $true )
= $false )
| ( ( ~ ! [SY17: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY17 @ ( considers_THFTYPE_IiooI @ SV5 @ $true ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(42,plain,
! [SV6: $i] :
( ( ( believes_THFTYPE_IiooI @ SV6 @ $false )
= $false )
| ( ( ~ ! [SY18: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY18 @ ( considers_THFTYPE_IiooI @ SV6 @ $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV2: $i > $i > $o,SV7: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 )
= $false )
| ( ( ! [SY19: $i,SY20: $i] :
~ ( ~ ( ~ ( SV7 @ SY19 @ SY20 )
| ( SV2 @ SY20 @ SY19 ) )
| ~ ( ~ ( SV2 @ SY20 @ SY19 )
| ( SV7 @ SY19 @ SY20 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV3: $i,SV9: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV3 @ lMax_THFTYPE_i ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV8: $i] :
( ( ~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV8 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV1: $o,SV4: $i] :
( ( ( ! [SY16: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY16 @ ( considers_THFTYPE_IiooI @ SV4 @ SV1 ) ) )
= $false )
| ( ( believes_THFTYPE_IiooI @ SV4 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(47,plain,
! [SV5: $i] :
( ( ( ! [SY17: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY17 @ ( considers_THFTYPE_IiooI @ SV5 @ $true ) ) )
= $false )
| ( ( believes_THFTYPE_IiooI @ SV5 @ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(48,plain,
! [SV6: $i] :
( ( ( ! [SY18: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ SY18 @ ( considers_THFTYPE_IiooI @ SV6 @ $false ) ) )
= $false )
| ( ( believes_THFTYPE_IiooI @ SV6 @ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV2: $i > $i > $o,SV10: $i,SV7: $i > $i > $o] :
( ( ( ! [SY21: $i] :
~ ( ~ ( ~ ( SV7 @ SV10 @ SY21 )
| ( SV2 @ SY21 @ SV10 ) )
| ~ ( ~ ( SV2 @ SY21 @ SV10 )
| ( SV7 @ SV10 @ SY21 ) ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV3: $i,SV9: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV9 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV3 @ lMax_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV8: $i] :
( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV4: $i,SV1: $o] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( sK1_SY16 @ SV1 @ SV4 ) @ ( considers_THFTYPE_IiooI @ SV4 @ SV1 ) ) )
= $false )
| ( ( believes_THFTYPE_IiooI @ SV4 @ SV1 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(53,plain,
! [SV5: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( sK2_SY17 @ SV5 ) @ ( considers_THFTYPE_IiooI @ SV5 @ $true ) ) )
= $false )
| ( ( believes_THFTYPE_IiooI @ SV5 @ $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[47]) ).
thf(54,plain,
! [SV6: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( sK3_SY18 @ SV6 ) @ ( considers_THFTYPE_IiooI @ SV6 @ $false ) ) )
= $false )
| ( ( believes_THFTYPE_IiooI @ SV6 @ $false )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[48]) ).
thf(55,plain,
! [SV2: $i > $i > $o,SV11: $i,SV10: $i,SV7: $i > $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV7 @ SV10 @ SV11 )
| ( SV2 @ SV11 @ SV10 ) )
| ~ ( ~ ( SV2 @ SV11 @ SV10 )
| ( SV7 @ SV10 @ SV11 ) ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV4: $i,SV1: $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( sK1_SY16 @ SV1 @ SV4 ) @ ( considers_THFTYPE_IiooI @ SV4 @ SV1 ) )
= $true )
| ( ( believes_THFTYPE_IiooI @ SV4 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(57,plain,
! [SV5: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( sK2_SY17 @ SV5 ) @ ( considers_THFTYPE_IiooI @ SV5 @ $true ) )
= $true )
| ( ( believes_THFTYPE_IiooI @ SV5 @ $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(58,plain,
! [SV6: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( sK3_SY18 @ SV6 ) @ ( considers_THFTYPE_IiooI @ SV6 @ $false ) )
= $true )
| ( ( believes_THFTYPE_IiooI @ SV6 @ $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(59,plain,
! [SV2: $i > $i > $o,SV11: $i,SV10: $i,SV7: $i > $i > $o] :
( ( ( ~ ( ~ ( SV7 @ SV10 @ SV11 )
| ( SV2 @ SV11 @ SV10 ) )
| ~ ( ~ ( SV2 @ SV11 @ SV10 )
| ( SV7 @ SV10 @ SV11 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV2: $i > $i > $o,SV11: $i,SV10: $i,SV7: $i > $i > $o] :
( ( ( ~ ( ~ ( SV7 @ SV10 @ SV11 )
| ( SV2 @ SV11 @ SV10 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(61,plain,
! [SV7: $i > $i > $o,SV10: $i,SV11: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ~ ( SV2 @ SV11 @ SV10 )
| ( SV7 @ SV10 @ SV11 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(62,plain,
! [SV2: $i > $i > $o,SV11: $i,SV10: $i,SV7: $i > $i > $o] :
( ( ( ~ ( SV7 @ SV10 @ SV11 )
| ( SV2 @ SV11 @ SV10 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(63,plain,
! [SV7: $i > $i > $o,SV10: $i,SV11: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV11 @ SV10 )
| ( SV7 @ SV10 @ SV11 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(64,plain,
! [SV2: $i > $i > $o,SV11: $i,SV10: $i,SV7: $i > $i > $o] :
( ( ( ~ ( SV7 @ SV10 @ SV11 ) )
= $true )
| ( ( SV2 @ SV11 @ SV10 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(65,plain,
! [SV7: $i > $i > $o,SV10: $i,SV11: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV11 @ SV10 ) )
= $true )
| ( ( SV7 @ SV10 @ SV11 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(66,plain,
! [SV2: $i > $i > $o,SV11: $i,SV10: $i,SV7: $i > $i > $o] :
( ( ( SV7 @ SV10 @ SV11 )
= $false )
| ( ( SV2 @ SV11 @ SV10 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(67,plain,
! [SV7: $i > $i > $o,SV10: $i,SV11: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV11 @ SV10 )
= $false )
| ( ( SV7 @ SV10 @ SV11 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV7 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(68,plain,
! [SV12: $i,SV13: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV13 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) ) )
= $false ),
inference(rename,[status(thm)],[50]) ).
thf(70,plain,
! [SV14: $i] :
( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 ) )
= $true ),
inference(rename,[status(thm)],[51]) ).
thf(72,plain,
! [SV15: $i,SV16: $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( sK1_SY16 @ SV16 @ SV15 ) @ ( considers_THFTYPE_IiooI @ SV15 @ SV16 ) )
= $true )
| ( ( believes_THFTYPE_IiooI @ SV15 @ SV16 )
= $false ) ),
inference(rename,[status(thm)],[56]) ).
thf(75,plain,
! [SV15: $i,SV16: $o,SV14: $i] :
( ( ( ( believes_THFTYPE_IiooI @ SV15 @ SV16 )
= ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( sK1_SY16 @ SV16 @ SV15 ) @ ( considers_THFTYPE_IiooI @ SV15 @ SV16 ) )
= $true ) ),
inference(res,[status(thm)],[72,70]) ).
thf(76,plain,
! [SV15: $i,SV16: $o,SV12: $i,SV13: $i] :
( ( ( ( holdsDuring_THFTYPE_IiooI @ ( sK1_SY16 @ SV16 @ SV15 ) @ ( considers_THFTYPE_IiooI @ SV15 @ SV16 ) )
= ( holdsDuring_THFTYPE_IiooI @ SV13 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) ) ) )
= $false )
| ( ( believes_THFTYPE_IiooI @ SV15 @ SV16 )
= $false ) ),
inference(res,[status(thm)],[72,68]) ).
thf(78,plain,
! [SV12: $i] :
( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) )
= $false ),
inference(extuni,[status(esa)],[76:[bind(SV16,$thf( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i )),bind(SV15,$thf( lMax_THFTYPE_i )),bind(SV13,$thf( sK1_SY16 @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) @ lMax_THFTYPE_i ))]]) ).
thf(79,plain,
! [SV12: $i,SV16: $o,SV15: $i] :
( ( ( believes_THFTYPE_IiooI @ SV15 @ SV16 )
= $false )
| ( ( considers_THFTYPE_IiooI @ SV15 @ SV16 )
= $true )
| ( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) )
= $true ) ),
inference(extuni,[status(esa)],[76:[bind(SV13,$thf( sK1_SY16 @ SV16 @ SV15 ))]]) ).
thf(80,plain,
! [SV12: $i,SV16: $o,SV15: $i] :
( ( ( believes_THFTYPE_IiooI @ SV15 @ SV16 )
= $false )
| ( ( considers_THFTYPE_IiooI @ SV15 @ SV16 )
= $false )
| ( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) )
= $false ) ),
inference(extuni,[status(esa)],[76:[bind(SV13,$thf( sK1_SY16 @ SV16 @ SV15 ))]]) ).
thf(81,plain,
! [SV14: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( sK1_SY16 @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 ) @ lMax_THFTYPE_i ) @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 ) ) )
= $true ),
inference(extuni,[status(esa)],[75:[bind(SV16,$thf( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 )),bind(SV15,$thf( lMax_THFTYPE_i ))]]) ).
thf(82,plain,
! [SV17: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( sK2_SY17 @ SV17 ) @ ( considers_THFTYPE_IiooI @ SV17 @ $true ) )
= $true )
| ( ( believes_THFTYPE_IiooI @ SV17 @ $true )
= $false ) ),
inference(rename,[status(thm)],[57]) ).
thf(87,plain,
! [SV17: $i,SV14: $i] :
( ( ( ( believes_THFTYPE_IiooI @ SV17 @ $true )
= ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( sK2_SY17 @ SV17 ) @ ( considers_THFTYPE_IiooI @ SV17 @ $true ) )
= $true ) ),
inference(res,[status(thm)],[82,70]) ).
thf(88,plain,
! [SV17: $i,SV12: $i,SV13: $i] :
( ( ( ( holdsDuring_THFTYPE_IiooI @ ( sK2_SY17 @ SV17 ) @ ( considers_THFTYPE_IiooI @ SV17 @ $true ) )
= ( holdsDuring_THFTYPE_IiooI @ SV13 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) ) ) )
= $false )
| ( ( believes_THFTYPE_IiooI @ SV17 @ $true )
= $false ) ),
inference(res,[status(thm)],[82,68]) ).
thf(91,plain,
! [SV12: $i] :
( ( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
= $false )
| ( $true = $false )
| ( ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[88:[bind(SV17,$thf( lMax_THFTYPE_i )),bind(SV13,$thf( sK2_SY17 @ lMax_THFTYPE_i ))]]) ).
thf(92,plain,
! [SV12: $i,SV17: $i] :
( ( ( believes_THFTYPE_IiooI @ SV17 @ $true )
= $false )
| ( ( considers_THFTYPE_IiooI @ SV17 @ $true )
= $true )
| ( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) )
= $true ) ),
inference(extuni,[status(esa)],[88:[bind(SV13,$thf( sK2_SY17 @ SV17 ))]]) ).
thf(93,plain,
! [SV12: $i,SV17: $i] :
( ( ( believes_THFTYPE_IiooI @ SV17 @ $true )
= $false )
| ( ( considers_THFTYPE_IiooI @ SV17 @ $true )
= $false )
| ( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) )
= $false ) ),
inference(extuni,[status(esa)],[88:[bind(SV13,$thf( sK2_SY17 @ SV17 ))]]) ).
thf(95,plain,
! [SV14: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( sK2_SY17 @ lMax_THFTYPE_i ) @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
= $true )
| ( $true = $false )
| ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[87:[bind(SV17,$thf( lMax_THFTYPE_i ))]]) ).
thf(96,plain,
! [SV12: $i] :
( ( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
= $false )
| ( ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[91]) ).
thf(97,plain,
! [SV14: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( sK2_SY17 @ lMax_THFTYPE_i ) @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
= $true )
| ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 )
= $false ) ),
inference(sim,[status(thm)],[95]) ).
thf(98,plain,
! [SV18: $i] :
( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV18 @ lMax_THFTYPE_i ) )
= $false ),
inference(rename,[status(thm)],[78]) ).
thf(101,plain,
! [SV18: $i,SV14: $i] :
( ( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV18 @ lMax_THFTYPE_i ) )
= ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 ) ) )
= $false ),
inference(res,[status(thm)],[98,70]) ).
thf(103,plain,
! [SV14: $i,SV18: $i] :
( ( ( wife_THFTYPE_IiioI @ SV18 @ lMax_THFTYPE_i )
= $true )
| ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 )
= $true ) ),
inference(extuni,[status(esa)],[101]) ).
thf(104,plain,
! [SV14: $i,SV18: $i] :
( ( ( wife_THFTYPE_IiioI @ SV18 @ lMax_THFTYPE_i )
= $false )
| ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[101]) ).
thf(105,plain,
! [SV19: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( sK1_SY16 @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV19 ) @ lMax_THFTYPE_i ) @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV19 ) ) )
= $true ),
inference(rename,[status(thm)],[81]) ).
thf(109,plain,
! [SV19: $i,SV12: $i,SV13: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( sK1_SY16 @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV19 ) @ lMax_THFTYPE_i ) @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV19 ) ) )
= ( holdsDuring_THFTYPE_IiooI @ SV13 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) ) ) )
= $false ),
inference(res,[status(thm)],[105,68]) ).
thf(110,plain,
! [SV12: $i,SV19: $i] :
( ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV19 )
= $true )
| ( ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[109:[bind(SV13,$thf( sK1_SY16 @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV19 ) @ lMax_THFTYPE_i ))]]) ).
thf(111,plain,
! [SV12: $i,SV19: $i] :
( ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV19 )
= $false )
| ( ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[109:[bind(SV13,$thf( sK1_SY16 @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV19 ) @ lMax_THFTYPE_i ))]]) ).
thf(112,plain,
! [SV12: $i,SV19: $i] :
( ( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV19 ) )
= $true )
| ( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) )
= $true ) ),
inference(extuni,[status(esa)],[109:[bind(SV13,$thf( sK1_SY16 @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV19 ) @ lMax_THFTYPE_i ))]]) ).
thf(113,plain,
! [SV12: $i,SV19: $i] :
( ( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV19 ) )
= $false )
| ( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) )
= $false ) ),
inference(extuni,[status(esa)],[109:[bind(SV13,$thf( sK1_SY16 @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV19 ) @ lMax_THFTYPE_i ))]]) ).
thf(114,plain,
! [SV20: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( sK3_SY18 @ SV20 ) @ ( considers_THFTYPE_IiooI @ SV20 @ $false ) )
= $true )
| ( ( believes_THFTYPE_IiooI @ SV20 @ $false )
= $false ) ),
inference(rename,[status(thm)],[58]) ).
thf(123,plain,
! [SV20: $i,SV14: $i] :
( ( ( ( believes_THFTYPE_IiooI @ SV20 @ $false )
= ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 ) ) )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( sK3_SY18 @ SV20 ) @ ( considers_THFTYPE_IiooI @ SV20 @ $false ) )
= $true ) ),
inference(res,[status(thm)],[114,70]) ).
thf(124,plain,
! [SV20: $i,SV12: $i,SV13: $i] :
( ( ( ( holdsDuring_THFTYPE_IiooI @ ( sK3_SY18 @ SV20 ) @ ( considers_THFTYPE_IiooI @ SV20 @ $false ) )
= ( holdsDuring_THFTYPE_IiooI @ SV13 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) ) ) )
= $false )
| ( ( believes_THFTYPE_IiooI @ SV20 @ $false )
= $false ) ),
inference(res,[status(thm)],[114,68]) ).
thf(126,plain,
! [SV12: $i] :
( ( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
= $false )
| ( $false = $true )
| ( ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[124:[bind(SV20,$thf( lMax_THFTYPE_i )),bind(SV13,$thf( sK3_SY18 @ lMax_THFTYPE_i ))]]) ).
thf(128,plain,
! [SV12: $i,SV20: $i] :
( ( ( believes_THFTYPE_IiooI @ SV20 @ $false )
= $false )
| ( ( considers_THFTYPE_IiooI @ SV20 @ $false )
= $true )
| ( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) )
= $true ) ),
inference(extuni,[status(esa)],[124:[bind(SV13,$thf( sK3_SY18 @ SV20 ))]]) ).
thf(129,plain,
! [SV12: $i,SV20: $i] :
( ( ( believes_THFTYPE_IiooI @ SV20 @ $false )
= $false )
| ( ( considers_THFTYPE_IiooI @ SV20 @ $false )
= $false )
| ( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i ) )
= $false ) ),
inference(extuni,[status(esa)],[124:[bind(SV13,$thf( sK3_SY18 @ SV20 ))]]) ).
thf(130,plain,
! [SV14: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( sK3_SY18 @ lMax_THFTYPE_i ) @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ) )
= $true )
| ( $false = $true )
| ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 )
= $true ) ),
inference(extuni,[status(esa)],[123:[bind(SV20,$thf( lMax_THFTYPE_i ))]]) ).
thf(132,plain,
! [SV12: $i] :
( ( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
= $false )
| ( ( wife_THFTYPE_IiioI @ SV12 @ lMax_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[126]) ).
thf(133,plain,
! [SV14: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( sK3_SY18 @ lMax_THFTYPE_i ) @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ) )
= $true )
| ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 )
= $true ) ),
inference(sim,[status(thm)],[130]) ).
thf(134,plain,
! [SV21: $i] :
( ( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
= $false )
| ( ( wife_THFTYPE_IiioI @ SV21 @ lMax_THFTYPE_i )
= $false ) ),
inference(rename,[status(thm)],[96]) ).
thf(144,plain,
! [SV21: $i,SV14: $i] :
( ( ( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
= ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 ) ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ SV21 @ lMax_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[134,70]) ).
thf(149,plain,
! [SV14: $i,SV21: $i] :
( ( ( wife_THFTYPE_IiioI @ SV21 @ lMax_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[144]) ).
thf(150,plain,
! [SV14: $i,SV21: $i] :
( ( ( wife_THFTYPE_IiioI @ SV21 @ lMax_THFTYPE_i )
= $false )
| ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ SV14 )
= $false ) ),
inference(sim,[status(thm)],[149]) ).
thf(151,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[13,150,134,133,132,129,128,114,113,112,111,110,105,104,103,98,97,93,92,82,80,79,72,70,68,67,66]) ).
thf(152,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR144^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.17 % Computer : n026.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Oct 6 18:58:32 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.28
% 0.53/0.28 No.of.Axioms: 4
% 0.53/0.28
% 0.53/0.28 Length.of.Defs: 0
% 0.53/0.28
% 0.53/0.28 Contains.Choice.Funs: false
% 0.53/0.28 ...
% 0.53/0.28
% 0.53/0.28 ********************************
% 0.53/0.28 * All subproblems solved! *
% 0.53/0.28 ********************************
% 0.53/0.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:151,loop_count:10,foatp_calls:3,translation:fof_full)
% 0.53/0.28
% 0.53/0.28 %**** Beginning of derivation protocol ****
% 0.53/0.28 % SZS output start CNFRefutation
% See solution above
% 0.53/0.28
% 0.53/0.28 %**** End of derivation protocol ****
% 0.53/0.28 %**** no. of clauses in derivation: 110 ****
% 0.53/0.28 %**** clause counter: 151 ****
% 0.53/0.28
% 0.53/0.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:151,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------