%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR143^1 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 10:16:13 AM UTC 2026
% Result : Theorem 0.47s 0.27s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 81 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 459 ( 181 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 620 ( 86 ~; 107 |; 0 &; 421 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 156 ( 156 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 263 ( 64 ^; 194 !; 5 ?; 263 :)
% 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_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 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( ! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) )
= $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,
( ( ~ ? [X: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) )
= $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,
( ( ! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(16,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(17,plain,
( ( ~ ? [X: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,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(19,plain,
( ( ~ ~ ! [SX0: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SX0 @ lCorina_THFTYPE_i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(20,plain,
! [SV1: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(21,plain,
! [SV2: $i > $i > $o] :
( ( ! [SY6: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SY6 @ SV2 )
| ! [SY7: $i,SY8: $i] :
~ ( ~ ( ~ ( SY6 @ SY7 @ SY8 )
| ( SV2 @ SY8 @ SY7 ) )
| ~ ( ~ ( SV2 @ SY8 @ SY7 )
| ( SY6 @ SY7 @ SY8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ! [SX0: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SX0 @ lCorina_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
| ! [SY9: $i,SY10: $i] :
~ ( ~ ( ~ ( SV3 @ SY9 @ SY10 )
| ( SV2 @ SY10 @ SY9 ) )
| ~ ( ~ ( SV2 @ SY10 @ SY9 )
| ( SV3 @ SY9 @ SY10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( ! [SX0: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SX0 @ lCorina_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(25,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 ) )
= $true )
| ( ( ! [SY9: $i,SY10: $i] :
~ ( ~ ( ~ ( SV3 @ SY9 @ SY10 )
| ( SV2 @ SY10 @ SY9 ) )
| ~ ( ~ ( SV2 @ SY10 @ SY9 )
| ( SV3 @ SY9 @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(26,plain,
! [SV4: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV4 @ lCorina_THFTYPE_i ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false )
| ( ( ! [SY9: $i,SY10: $i] :
~ ( ~ ( ~ ( SV3 @ SY9 @ SY10 )
| ( SV2 @ SY10 @ SY9 ) )
| ~ ( ~ ( SV2 @ SY10 @ SY9 )
| ( SV3 @ SY9 @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
! [SV4: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV4 @ lCorina_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV2: $i > $i > $o,SV5: $i,SV3: $i > $i > $o] :
( ( ( ! [SY11: $i] :
~ ( ~ ( ~ ( SV3 @ SV5 @ SY11 )
| ( SV2 @ SY11 @ SV5 ) )
| ~ ( ~ ( SV2 @ SY11 @ SV5 )
| ( SV3 @ SV5 @ SY11 ) ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV2: $i > $i > $o,SV6: $i,SV5: $i,SV3: $i > $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV3 @ SV5 @ SV6 )
| ( SV2 @ SV6 @ SV5 ) )
| ~ ( ~ ( SV2 @ SV6 @ SV5 )
| ( SV3 @ SV5 @ SV6 ) ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(31,plain,
! [SV2: $i > $i > $o,SV6: $i,SV5: $i,SV3: $i > $i > $o] :
( ( ( ~ ( ~ ( SV3 @ SV5 @ SV6 )
| ( SV2 @ SV6 @ SV5 ) )
| ~ ( ~ ( SV2 @ SV6 @ SV5 )
| ( SV3 @ SV5 @ SV6 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(32,plain,
! [SV2: $i > $i > $o,SV6: $i,SV5: $i,SV3: $i > $i > $o] :
( ( ( ~ ( ~ ( SV3 @ SV5 @ SV6 )
| ( SV2 @ SV6 @ SV5 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(33,plain,
! [SV3: $i > $i > $o,SV5: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ~ ( SV2 @ SV6 @ SV5 )
| ( SV3 @ SV5 @ SV6 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(34,plain,
! [SV2: $i > $i > $o,SV6: $i,SV5: $i,SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ SV5 @ SV6 )
| ( SV2 @ SV6 @ SV5 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(35,plain,
! [SV3: $i > $i > $o,SV5: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV6 @ SV5 )
| ( SV3 @ SV5 @ SV6 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(36,plain,
! [SV2: $i > $i > $o,SV6: $i,SV5: $i,SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ SV5 @ SV6 ) )
= $true )
| ( ( SV2 @ SV6 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(37,plain,
! [SV3: $i > $i > $o,SV5: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV6 @ SV5 ) )
= $true )
| ( ( SV3 @ SV5 @ SV6 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(38,plain,
! [SV2: $i > $i > $o,SV6: $i,SV5: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV5 @ SV6 )
= $false )
| ( ( SV2 @ SV6 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV3: $i > $i > $o,SV5: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV6 @ SV5 )
= $false )
| ( ( SV3 @ SV5 @ SV6 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV6: $i,SV5: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV5 @ SV6 )
= $false )
| ( $false = $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] : $false )
= $false ) ),
inference(prim_subst,[status(thm)],[38:[bind(SV2,$thf( ^ [SV12: $i] : ^ [SV13: $i] : $false ))]]) ).
thf(42,plain,
! [SV11: $i > $i > $o,SV6: $i,SV5: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV5 @ SV6 )
= $false )
| ( ( ~ ( SV11 @ SV6 @ SV5 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV11 @ SX0 @ SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[38:[bind(SV2,$thf( ^ [SV9: $i] : ^ [SV10: $i] : ~ ( SV11 @ SV9 @ SV10 ) ))]]) ).
thf(43,plain,
! [SV6: $i,SV5: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV5 @ SV6 )
= $false )
| ( ( SV6 != SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[38:[bind(SV2,$thf( ^ [SY12: $i] : ^ [SY13: $i] : ( SY12 != SY13 ) ))]]) ).
thf(44,plain,
! [SV6: $i,SV5: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV5 @ SV6 )
= $false )
| ( ( SV6 = SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[38:[bind(SV2,$thf( ^ [SV8: $i] : ^ [SV7: $i] : ( SV8 = SV7 ) ))]]) ).
thf(45,plain,
! [SV5: $i,SV6: $i,SV2: $i > $i > $o] :
( ( $true = $false )
| ( ( SV2 @ SV6 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $true
@ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[38:[bind(SV3,$thf( ^ [SV23: $i] : ^ [SV24: $i] : $true ))]]) ).
thf(47,plain,
! [SV2: $i > $i > $o,SV6: $i,SV5: $i,SV20: $i > $i > $o] :
( ( ( ~ ( SV20 @ SV5 @ SV6 ) )
= $false )
| ( ( SV2 @ SV6 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV20 @ SX0 @ SX1 )
@ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[38:[bind(SV3,$thf( ^ [SV18: $i] : ^ [SV19: $i] : ~ ( SV20 @ SV18 @ SV19 ) ))]]) ).
thf(48,plain,
! [SV2: $i > $i > $o,SV6: $i,SV5: $i] :
( ( ( SV5 != SV6 )
= $false )
| ( ( SV2 @ SV6 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[38:[bind(SV3,$thf( ^ [SY23: $i] : ^ [SY24: $i] : ( SY23 != SY24 ) ))]]) ).
thf(49,plain,
! [SV2: $i > $i > $o,SV6: $i,SV5: $i] :
( ( ( SV5 = SV6 )
= $false )
| ( ( SV2 @ SV6 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[38:[bind(SV3,$thf( ^ [SV17: $i] : ^ [SV16: $i] : ( SV17 = SV16 ) ))]]) ).
thf(50,plain,
! [SV6: $i,SV5: $i,SV3: $i > $i > $o] :
( ( $true = $false )
| ( ( SV3 @ SV5 @ SV6 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] : $true )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV2,$thf( ^ [SV14: $i] : ^ [SV15: $i] : $true ))]]) ).
thf(52,plain,
! [SV3: $i > $i > $o,SV5: $i,SV6: $i,SV11: $i > $i > $o] :
( ( ( ~ ( SV11 @ SV6 @ SV5 ) )
= $false )
| ( ( SV3 @ SV5 @ SV6 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV11 @ SX0 @ SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV2,$thf( ^ [SV9: $i] : ^ [SV10: $i] : ~ ( SV11 @ SV9 @ SV10 ) ))]]) ).
thf(53,plain,
! [SV3: $i > $i > $o,SV5: $i,SV6: $i] :
( ( ( SV6 != SV5 )
= $false )
| ( ( SV3 @ SV5 @ SV6 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV2,$thf( ^ [SY12: $i] : ^ [SY13: $i] : ( SY12 != SY13 ) ))]]) ).
thf(54,plain,
! [SV3: $i > $i > $o,SV5: $i,SV6: $i] :
( ( ( SV6 = SV5 )
= $false )
| ( ( SV3 @ SV5 @ SV6 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV2,$thf( ^ [SV8: $i] : ^ [SV7: $i] : ( SV8 = SV7 ) ))]]) ).
thf(56,plain,
! [SV5: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV6 @ SV5 )
= $false )
| ( $false = $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $false
@ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV3,$thf( ^ [SV21: $i] : ^ [SV22: $i] : $false ))]]) ).
thf(57,plain,
! [SV20: $i > $i > $o,SV5: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV6 @ SV5 )
= $false )
| ( ( ~ ( SV20 @ SV5 @ SV6 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV20 @ SX0 @ SX1 )
@ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV3,$thf( ^ [SV18: $i] : ^ [SV19: $i] : ~ ( SV20 @ SV18 @ SV19 ) ))]]) ).
thf(58,plain,
! [SV5: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV6 @ SV5 )
= $false )
| ( ( SV5 != SV6 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV3,$thf( ^ [SY23: $i] : ^ [SY24: $i] : ( SY23 != SY24 ) ))]]) ).
thf(59,plain,
! [SV5: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV6 @ SV5 )
= $false )
| ( ( SV5 = SV6 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV3,$thf( ^ [SV17: $i] : ^ [SV16: $i] : ( SV17 = SV16 ) ))]]) ).
thf(60,plain,
! [SV3: $i > $i > $o,SV5: $i,SV6: $i,SV11: $i > $i > $o] :
( ( ( SV11 @ SV6 @ SV5 )
= $false )
| ( ( SV3 @ SV5 @ SV6 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV11 @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(61,plain,
! [SV3: $i > $i > $o,SV5: $i,SV6: $i] :
( ( ( SV6 = SV5 )
= $false )
| ( ( SV3 @ SV5 @ SV6 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(62,plain,
! [SV2: $i > $i > $o,SV6: $i,SV5: $i,SV20: $i > $i > $o] :
( ( ( SV20 @ SV5 @ SV6 )
= $true )
| ( ( SV2 @ SV6 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV20 @ SX0 @ SX1 )
@ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(63,plain,
! [SV2: $i > $i > $o,SV6: $i,SV5: $i] :
( ( ( SV5 = SV6 )
= $true )
| ( ( SV2 @ SV6 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(64,plain,
! [SV3: $i > $i > $o,SV5: $i,SV6: $i,SV11: $i > $i > $o] :
( ( ( SV11 @ SV6 @ SV5 )
= $true )
| ( ( SV3 @ SV5 @ SV6 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV11 @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(65,plain,
! [SV3: $i > $i > $o,SV5: $i,SV6: $i] :
( ( ( SV6 = SV5 )
= $true )
| ( ( SV3 @ SV5 @ SV6 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(66,plain,
! [SV2: $i > $i > $o,SV6: $i,SV5: $i,SV20: $i > $i > $o] :
( ( ( SV20 @ SV5 @ SV6 )
= $false )
| ( ( SV2 @ SV6 @ SV5 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV20 @ SX0 @ SX1 )
@ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(67,plain,
! [SV2: $i > $i > $o,SV6: $i,SV5: $i] :
( ( ( SV5 = SV6 )
= $false )
| ( ( SV2 @ SV6 @ SV5 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(68,plain,
! [SV5: $i,SV3: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false )
| ( ( SV3 @ SV5 @ SV5 )
= $false ) ),
inference(extuni,[status(esa)],[61:[bind(SV6,$thf( SV5 ))]]) ).
thf(69,plain,
! [SV6: $i,SV2: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV2 )
= $false )
| ( ( SV2 @ SV6 @ SV6 )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV5,$thf( SV6 ))]]) ).
thf(70,plain,
! [SV5: $i,SV3: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false )
| ( ( SV3 @ SV5 @ SV5 )
= $true ) ),
inference(extuni,[status(esa)],[54:[bind(SV6,$thf( SV5 ))]]) ).
thf(71,plain,
! [SV6: $i,SV2: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV2 )
= $false )
| ( ( SV2 @ SV6 @ SV6 )
= $false ) ),
inference(extuni,[status(esa)],[67:[bind(SV5,$thf( SV6 ))]]) ).
thf(72,plain,
! [SV6: $i,SV5: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV5 @ SV6 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] : $false )
= $false ) ),
inference(sim,[status(thm)],[41]) ).
thf(73,plain,
! [SV5: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV6 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $true
@ SV2 )
= $false ) ),
inference(sim,[status(thm)],[45]) ).
thf(74,plain,
! [SV6: $i,SV5: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV5 @ SV6 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3
@ ^ [SX0: $i,SX1: $i] : $true )
= $false ) ),
inference(sim,[status(thm)],[50]) ).
thf(75,plain,
! [SV5: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV6 @ SV5 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $false
@ SV2 )
= $false ) ),
inference(sim,[status(thm)],[56]) ).
thf(76,plain,
! [SV25: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV25 @ $true )
= $true ),
inference(rename,[status(thm)],[20]) ).
thf(77,plain,
! [SV26: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV26 @ lCorina_THFTYPE_i ) )
= $false ),
inference(rename,[status(thm)],[28]) ).
thf(78,plain,
! [SV26: $i,SV25: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV26 @ lCorina_THFTYPE_i ) )
= ( holdsDuring_THFTYPE_IiooI @ SV25 @ $true ) )
= $false ),
inference(res,[status(thm)],[77,76]) ).
thf(79,plain,
! [SV26: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV26 @ 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)],[77,16]) ).
thf(81,plain,
! [SV26: $i] :
( ( ( husband_THFTYPE_IiioI @ SV26 @ lCorina_THFTYPE_i )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[79]) ).
thf(82,plain,
! [SV26: $i] :
( ( ( husband_THFTYPE_IiioI @ SV26 @ lCorina_THFTYPE_i )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[79]) ).
thf(84,plain,
! [SV26: $i] :
( ( ( husband_THFTYPE_IiioI @ SV26 @ lCorina_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[78:[bind(SV25,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(85,plain,
! [SV26: $i] :
( ( husband_THFTYPE_IiioI @ SV26 @ lCorina_THFTYPE_i )
= $false ),
inference(sim,[status(thm)],[84]) ).
thf(86,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[13,85,82,81,77,76,75,74,73,72,71,70,69,68,66,65,64,63,62,60,59,44,39,38,16]) ).
thf(87,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR143^1 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.17 % Computer : n017.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Oct 6 18:51:16 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.27
% 0.47/0.27 No.of.Axioms: 4
% 0.47/0.27
% 0.47/0.27 Length.of.Defs: 0
% 0.47/0.27
% 0.47/0.27 Contains.Choice.Funs: false
% 0.47/0.27 .
% 0.47/0.27
% 0.47/0.27 ********************************
% 0.47/0.27 * All subproblems solved! *
% 0.47/0.27 ********************************
% 0.47/0.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,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:86,loop_count:5,foatp_calls:3,translation:fof_full)
% 0.47/0.27
% 0.47/0.27 %**** Beginning of derivation protocol ****
% 0.47/0.27 % SZS output start CNFRefutation
% See solution above
% 0.47/0.27
% 0.47/0.27 %**** End of derivation protocol ****
% 0.47/0.27 %**** no. of clauses in derivation: 81 ****
% 0.47/0.27 %**** clause counter: 86 ****
% 0.47/0.27
% 0.47/0.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,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:86,loop_count:5,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------