%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR145^1 : 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 : n012.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 0.08s 0.13s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 327 ( 133 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 502 ( 89 ~; 106 |; 6 &; 297 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 150 ( 150 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 195 ( 23 ^; 166 !; 6 ?; 195 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
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_sK1_X,type,
sK1_X: $i ).
thf(tp_wife_THFTYPE_IiioI,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(1,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(2,axiom,
? [X: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ),
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,
? [R: $i > $i > $o] :
( ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( R
!= ( ^ [X: $i,Y: $i] : $true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(6,negated_conjecture,
( ( ? [R: $i > $i > $o] :
( ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( R
!= ( ^ [X: $i,Y: $i] : $true ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,plain,
( ( ? [R: $i > $i > $o] :
( ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( R
!= ( ^ [X: $i,Y: $i] : $true ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( ? [X: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ) )
= $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,
( ( ~ ? [R: $i > $i > $o] :
( ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( R
!= ( ^ [X: $i,Y: $i] : $true ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(13,plain,
( ( ! [R: $i > $i > $o] :
( ~ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
| ( R
= ( ^ [X: $i,Y: $i] : $true ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(14,plain,
( ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK1_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(15,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)],[10]) ).
thf(16,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(17,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)],[15]) ).
thf(18,plain,
( ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(19,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(20,plain,
( ( ! [R: $i > $i > $o] :
( ~ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
| ( R
= ( ^ [X: $i,Y: $i] : $true ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(21,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)],[17]) ).
thf(22,plain,
( ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV1: $i > $i > $o] :
( ( ~ ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
| ( SV1
= ( ^ [X: $i,Y: $i] : $true ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: $i > $i > $o] :
( ( ! [SY10: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SY10 @ SV2 )
| ~ ( ~ ! [SY11: $i,SY12: $i] :
( ~ ( SY10 @ SY11 @ SY12 )
| ( SV2 @ SY12 @ SY11 ) )
| ~ ! [SY13: $i,SY14: $i] :
( ~ ( SV2 @ SY14 @ SY13 )
| ( SY10 @ SY13 @ SY14 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( SV1
= ( ^ [X: $i,Y: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(26,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
| ~ ( ~ ! [SY15: $i,SY16: $i] :
( ~ ( SV3 @ SY15 @ SY16 )
| ( SV2 @ SY16 @ SY15 ) )
| ~ ! [SY17: $i,SY18: $i] :
( ~ ( SV2 @ SY18 @ SY17 )
| ( SV3 @ SY17 @ SY18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [X: $i,Y: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY15: $i,SY16: $i] :
( ~ ( SV3 @ SY15 @ SY16 )
| ( SV2 @ SY16 @ SY15 ) )
| ~ ! [SY17: $i,SY18: $i] :
( ~ ( SV2 @ SY18 @ SY17 )
| ( SV3 @ SY17 @ SY18 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV1: $i > $i > $o] :
( ( ( ! [SV4: $i] :
( ( SV1 @ SV4 )
= ( ^ [Y: $i] : $true ) ) )
= $true )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [X: $i,Y: $i] : $true ) )
= $true )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false )
| ( ( ~ ( ~ ! [SY15: $i,SY16: $i] :
( ~ ( SV3 @ SY15 @ SY16 )
| ( SV2 @ SY16 @ SY15 ) )
| ~ ! [SY17: $i,SY18: $i] :
( ~ ( SV2 @ SY18 @ SY17 )
| ( SV3 @ SY17 @ SY18 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV5: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV5 )
= ( ^ [Y: $i] : $true ) )
= $true )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ~ ! [SY15: $i,SY16: $i] :
( ~ ( SV3 @ SY15 @ SY16 )
| ( SV2 @ SY16 @ SY15 ) )
| ~ ! [SY17: $i,SY18: $i] :
( ~ ( SV2 @ SY18 @ SY17 )
| ( SV3 @ SY17 @ SY18 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV5: $i,SV1: $i > $i > $o] :
( ( ( ! [SV6: $i] :
( ( SV1 @ SV5 @ SV6 )
= $true ) )
= $true )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[32]) ).
thf(35,plain,
! [SV5: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV5 )
= ( ^ [Y: $i] : $true ) )
= $true )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ~ ! [SY15: $i,SY16: $i] :
( ~ ( SV3 @ SY15 @ SY16 )
| ( SV2 @ SY16 @ SY15 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(37,plain,
! [SV3: $i > $i > $o,SV2: $i > $i > $o] :
( ( ( ~ ! [SY17: $i,SY18: $i] :
( ~ ( SV2 @ SY18 @ SY17 )
| ( SV3 @ SY17 @ SY18 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(38,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV5 @ SV7 )
= $true )
= $true )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ! [SY15: $i,SY16: $i] :
( ~ ( SV3 @ SY15 @ SY16 )
| ( SV2 @ SY16 @ SY15 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(40,plain,
! [SV3: $i > $i > $o,SV2: $i > $i > $o] :
( ( ( ! [SY17: $i,SY18: $i] :
( ~ ( SV2 @ SY18 @ SY17 )
| ( SV3 @ SY17 @ SY18 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(41,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV5 @ SV7 )
| $true )
| ~ ( ~ ( SV1 @ SV5 @ SV7 )
| ~ $true ) )
= $true )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[38]) ).
thf(42,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV5 @ SV7 )
= $true )
= $true )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV2: $i > $i > $o,SV8: $i,SV3: $i > $i > $o] :
( ( ( ! [SY21: $i] :
( ~ ( SV3 @ SV8 @ SY21 )
| ( SV2 @ SY21 @ SV8 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV3: $i > $i > $o,SV9: $i,SV2: $i > $i > $o] :
( ( ( ! [SY22: $i] :
( ~ ( SV2 @ SY22 @ SV9 )
| ( SV3 @ SV9 @ SY22 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV5 @ SV7 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV5 @ SV7 )
| ~ $true ) )
= $true )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV2: $i > $i > $o,SV10: $i,SV8: $i,SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ SV8 @ SV10 )
| ( SV2 @ SV10 @ SV8 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV3: $i > $i > $o,SV9: $i,SV11: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV11 @ SV9 )
| ( SV3 @ SV9 @ SV11 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(48,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV5 @ SV7 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV5 @ SV7 )
| ~ $true ) )
= $true )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(49,plain,
! [SV2: $i > $i > $o,SV10: $i,SV8: $i,SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ SV8 @ SV10 ) )
= $true )
| ( ( SV2 @ SV10 @ SV8 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(50,plain,
! [SV3: $i > $i > $o,SV9: $i,SV11: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV11 @ SV9 ) )
= $true )
| ( ( SV3 @ SV9 @ SV11 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(51,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV5 @ SV7 )
| ~ $true ) )
= $true )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(52,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV5 @ SV7 )
| ~ $true ) )
= $true )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(53,plain,
! [SV2: $i > $i > $o,SV10: $i,SV8: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV8 @ SV10 )
= $false )
| ( ( SV2 @ SV10 @ SV8 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV3: $i > $i > $o,SV9: $i,SV11: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV11 @ SV9 )
= $false )
| ( ( SV3 @ SV9 @ SV11 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(55,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV5 @ SV7 )
| ~ $true )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV5 @ SV7 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV5 @ SV7 ) )
= $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(58,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ $true ) = $false )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(59,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV5 @ SV7 ) )
= $false )
| ( $true = $false )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(60,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(61,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV7 )
= $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(62,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV5 @ SV7 )
= $false )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(63,plain,
! [SV7: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV7 )
= $true )
| ( $true = $false )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(64,plain,
! [SV1: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(65,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[16,64,63,62,61,54,53,42,35,30,22,19]) ).
thf(66,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR145^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Oct 6 18:55:16 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.13
% 0.08/0.13 No.of.Axioms: 4
% 0.08/0.13
% 0.08/0.13 Length.of.Defs: 0
% 0.08/0.13
% 0.08/0.13 Contains.Choice.Funs: false
% 0.08/0.13 .
% 0.08/0.13
% 0.08/0.13 ********************************
% 0.08/0.13 * All subproblems solved! *
% 0.08/0.13 ********************************
% 0.08/0.13 % 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:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:65,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 0.08/0.13
% 0.08/0.13 %**** Beginning of derivation protocol ****
% 0.08/0.13 % SZS output start CNFRefutation
% See solution above
% 0.08/0.13
% 0.08/0.13 %**** End of derivation protocol ****
% 0.08/0.13 %**** no. of clauses in derivation: 66 ****
% 0.08/0.13 %**** clause counter: 65 ****
% 0.08/0.13
% 0.08/0.13 % 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:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:65,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------