TSTP Solution File: CSR153^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : CSR153^2 : 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 : n026.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 21:40:53 EDT 2022
% Result : Theorem 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 74
% Syntax : Number of formulae : 181 ( 94 unt; 65 typ; 0 def)
% Number of atoms : 438 ( 218 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 597 ( 222 ~; 67 |; 38 &; 270 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 114 ( 114 >; 0 *; 0 +; 0 <<)
% Number of symbols : 67 ( 64 usr; 37 con; 0-3 aty)
% Number of variables : 59 ( 0 ^ 55 !; 4 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_agent_THFTYPE_i,type,
agent_THFTYPE_i: $i ).
thf(tp_attribute_THFTYPE_i,type,
attribute_THFTYPE_i: $i ).
thf(tp_before_THFTYPE_IiioI,type,
before_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_brother_THFTYPE_IiioI,type,
brother_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_connected_THFTYPE_i,type,
connected_THFTYPE_i: $i ).
thf(tp_disjoint_THFTYPE_IiioI,type,
disjoint_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_domain_THFTYPE_IIiiIiioI,type,
domain_THFTYPE_IIiiIiioI: ( $i > $i ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IIiioIiioI,type,
domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(tp_domain_THFTYPE_IiiioI,type,
domain_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(tp_equal_THFTYPE_i,type,
equal_THFTYPE_i: $i ).
thf(tp_familyRelation_THFTYPE_i,type,
familyRelation_THFTYPE_i: $i ).
thf(tp_greaterThan_THFTYPE_i,type,
greaterThan_THFTYPE_i: $i ).
thf(tp_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_instance_THFTYPE_IIIiioIIiioIoIioI,type,
instance_THFTYPE_IIIiioIIiioIoIioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiiIioI,type,
instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiioIioI,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IIiooIioI,type,
instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).
thf(tp_instance_THFTYPE_IiioI,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_lAsymmetricRelation_THFTYPE_i,type,
lAsymmetricRelation_THFTYPE_i: $i ).
thf(tp_lBeginFn_THFTYPE_IiiI,type,
lBeginFn_THFTYPE_IiiI: $i > $i ).
thf(tp_lBeginFn_THFTYPE_i,type,
lBeginFn_THFTYPE_i: $i ).
thf(tp_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(tp_lBinaryPredicate_THFTYPE_i,type,
lBinaryPredicate_THFTYPE_i: $i ).
thf(tp_lBob_THFTYPE_i,type,
lBob_THFTYPE_i: $i ).
thf(tp_lEndFn_THFTYPE_IiiI,type,
lEndFn_THFTYPE_IiiI: $i > $i ).
thf(tp_lEndFn_THFTYPE_i,type,
lEndFn_THFTYPE_i: $i ).
thf(tp_lEquivalenceRelation_THFTYPE_i,type,
lEquivalenceRelation_THFTYPE_i: $i ).
thf(tp_lHuman_THFTYPE_i,type,
lHuman_THFTYPE_i: $i ).
thf(tp_lIrreflexiveRelation_THFTYPE_i,type,
lIrreflexiveRelation_THFTYPE_i: $i ).
thf(tp_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(tp_lMeasureFn_THFTYPE_i,type,
lMeasureFn_THFTYPE_i: $i ).
thf(tp_lMultiplicationFn_THFTYPE_i,type,
lMultiplicationFn_THFTYPE_i: $i ).
thf(tp_lObject_THFTYPE_i,type,
lObject_THFTYPE_i: $i ).
thf(tp_lOrganism_THFTYPE_i,type,
lOrganism_THFTYPE_i: $i ).
thf(tp_lProcess_THFTYPE_i,type,
lProcess_THFTYPE_i: $i ).
thf(tp_lQuantity_THFTYPE_i,type,
lQuantity_THFTYPE_i: $i ).
thf(tp_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(tp_lSymmetricRelation_THFTYPE_i,type,
lSymmetricRelation_THFTYPE_i: $i ).
thf(tp_lTemporalRelation_THFTYPE_i,type,
lTemporalRelation_THFTYPE_i: $i ).
thf(tp_lTimeInterval_THFTYPE_i,type,
lTimeInterval_THFTYPE_i: $i ).
thf(tp_lTimePoint_THFTYPE_i,type,
lTimePoint_THFTYPE_i: $i ).
thf(tp_lTotalValuedRelation_THFTYPE_i,type,
lTotalValuedRelation_THFTYPE_i: $i ).
thf(tp_lTransitiveRelation_THFTYPE_i,type,
lTransitiveRelation_THFTYPE_i: $i ).
thf(tp_lUnaryFunction_THFTYPE_i,type,
lUnaryFunction_THFTYPE_i: $i ).
thf(tp_lWhenFn_THFTYPE_IiiI,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(tp_lWhenFn_THFTYPE_i,type,
lWhenFn_THFTYPE_i: $i ).
thf(tp_located_THFTYPE_IiioI,type,
located_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_meetsTemporally_THFTYPE_IiioI,type,
meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_n1_THFTYPE_i,type,
n1_THFTYPE_i: $i ).
thf(tp_n2_THFTYPE_i,type,
n2_THFTYPE_i: $i ).
thf(tp_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_part_THFTYPE_IiioI,type,
part_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_patient_THFTYPE_i,type,
patient_THFTYPE_i: $i ).
thf(tp_range_THFTYPE_IiioI,type,
range_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_relatedInternalConcept_THFTYPE_i,type,
relatedInternalConcept_THFTYPE_i: $i ).
thf(tp_sibling_THFTYPE_IiioI,type,
sibling_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_sister_THFTYPE_IiioI,type,
sister_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_subProcess_THFTYPE_IiioI,type,
subProcess_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_subclass_THFTYPE_IiioI,type,
subclass_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_subrelation_THFTYPE_IIiioIIiioIoI,type,
subrelation_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_subrelation_THFTYPE_IIiioIioI,type,
subrelation_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(tp_subrelation_THFTYPE_IIioIIioIoI,type,
subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).
thf(tp_subrelation_THFTYPE_IiioI,type,
subrelation_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_temporalPart_THFTYPE_IiioI,type,
temporalPart_THFTYPE_IiioI: $i > $i > $o ).
thf(98,axiom,
( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_030) ).
thf(99,axiom,
( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_029) ).
thf(107,axiom,
( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_021) ).
thf(108,axiom,
( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_020) ).
thf(109,axiom,
( ( lMary_THFTYPE_i != lSue_THFTYPE_i )
& ( lMary_THFTYPE_i != lBill_THFTYPE_i )
& ( lBob_THFTYPE_i != lMary_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_019) ).
thf(124,axiom,
( ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
& ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(126,axiom,
lBob_THFTYPE_i != lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(127,axiom,
lBob_THFTYPE_i != lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(129,conjecture,
? [R: $i > $i > $o] :
( ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [X: $i,Y: $i] : ( R @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(130,negated_conjecture,
( ( ? [R: $i > $i > $o] :
( ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [X: $i,Y: $i] : ( R @ X @ Y ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[129]) ).
thf(131,plain,
( ( ? [R: $i > $i > $o] :
( ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [X: $i,Y: $i] : ( R @ X @ Y ) ) )
= $false ),
inference(unfold_def,[status(thm)],[130]) ).
thf(132,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
& ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(133,plain,
( ( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(134,plain,
( ( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(135,plain,
( ( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(136,plain,
( ( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(137,plain,
( ( ( lMary_THFTYPE_i != lSue_THFTYPE_i )
& ( lMary_THFTYPE_i != lBill_THFTYPE_i )
& ( lBob_THFTYPE_i != lMary_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(138,plain,
( ( ( lBob_THFTYPE_i != lBill_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(139,plain,
( ( ( lBob_THFTYPE_i != lBill_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(140,plain,
( ( ~ ? [R: $i > $i > $o] :
( ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [X: $i,Y: $i] : ( R @ X @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[131]) ).
thf(141,plain,
( ( ! [R: $i > $i > $o] :
( ~ ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ! [X: $i,Y: $i] : ( R @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[140]) ).
thf(142,plain,
( ( ( lBob_THFTYPE_i != lBill_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(143,plain,
( ( ( lBob_THFTYPE_i != lBill_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(144,plain,
( ( ( lMary_THFTYPE_i != lSue_THFTYPE_i )
& ( lMary_THFTYPE_i != lBill_THFTYPE_i )
& ( lBob_THFTYPE_i != lMary_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(145,plain,
( ( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(146,plain,
( ( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(147,plain,
( ( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(148,plain,
( ( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(149,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
& ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(150,plain,
( ( ! [R: $i > $i > $o] :
( ~ ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ! [X: $i,Y: $i] : ( R @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(151,plain,
( ( ~ ( ~ ~ ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
| ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ~ ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(152,plain,
( ( ~ ( ~ ~ ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
| ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(153,plain,
( ( ~ ( ~ ( ( lSue_THFTYPE_i != lBill_THFTYPE_i ) )
| ~ ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(154,plain,
( ( ~ ( ~ ~ ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
| ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(155,plain,
( ( ~ ( ~ ~ ( ~ ( ( lMary_THFTYPE_i != lSue_THFTYPE_i ) )
| ~ ( ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ) )
| ~ ( ( lBob_THFTYPE_i != lMary_THFTYPE_i ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(156,plain,
( ( ~ ( ~ ( ( lSue_THFTYPE_i != lBill_THFTYPE_i ) )
| ~ ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(157,plain,
( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(158,plain,
( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(159,plain,
! [SV1: $i > $i > $o] :
( ( ~ ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(160,plain,
( ( ~ ~ ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
| ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ~ ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(161,plain,
( ( ~ ~ ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
| ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(162,plain,
( ( ~ ( ( lSue_THFTYPE_i != lBill_THFTYPE_i ) )
| ~ ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(163,plain,
( ( ~ ~ ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
| ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(164,plain,
( ( ~ ~ ( ~ ( ( lMary_THFTYPE_i != lSue_THFTYPE_i ) )
| ~ ( ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ) )
| ~ ( ( lBob_THFTYPE_i != lMary_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(165,plain,
( ( ~ ( ( lSue_THFTYPE_i != lBill_THFTYPE_i ) )
| ~ ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(166,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $true )
| ( ( ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(167,plain,
( ( ~ ~ ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
| ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(168,plain,
( ( ~ ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(169,plain,
( ( ~ ~ ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(170,plain,
( ( ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(171,plain,
( ( ~ ( ( lSue_THFTYPE_i != lBill_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(172,plain,
( ( ~ ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(173,plain,
( ( ~ ~ ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(174,plain,
( ( ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(175,plain,
( ( ~ ~ ( ~ ( ( lMary_THFTYPE_i != lSue_THFTYPE_i ) )
| ~ ( ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(176,plain,
( ( ~ ( ( lBob_THFTYPE_i != lMary_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(177,plain,
( ( ~ ( ( lSue_THFTYPE_i != lBill_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(178,plain,
( ( ~ ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(179,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $true )
| ( ( ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(180,plain,
( ( ~ ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
| ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(181,plain,
( ( ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(182,plain,
( ( ~ ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(183,plain,
( ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(184,plain,
( ( ( lSue_THFTYPE_i != lBill_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(185,plain,
( ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(186,plain,
( ( ~ ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(187,plain,
( ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(188,plain,
( ( ~ ( ~ ( ( lMary_THFTYPE_i != lSue_THFTYPE_i ) )
| ~ ( ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(189,plain,
( ( ( lBob_THFTYPE_i != lMary_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(190,plain,
( ( ( lSue_THFTYPE_i != lBill_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(191,plain,
( ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(192,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $true )
| ( ( ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(193,plain,
( ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
| ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(194,plain,
( ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(195,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(196,plain,
( ( lSue_THFTYPE_i = lBill_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(197,plain,
( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(198,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(199,plain,
( ( ~ ( ( lMary_THFTYPE_i != lSue_THFTYPE_i ) )
| ~ ( ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(200,plain,
( ( lBob_THFTYPE_i = lMary_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(201,plain,
( ( lSue_THFTYPE_i = lBill_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(202,plain,
( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(203,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
= $false )
| ( ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(204,plain,
( ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(205,plain,
( ( ~ ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(206,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(207,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(208,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(209,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(210,plain,
( ( ~ ( ( lMary_THFTYPE_i != lSue_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(211,plain,
( ( ~ ( ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(212,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ! [SY5: $i] : ( SV1 @ SV2 @ SY5 ) )
= $true )
| ( ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(213,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(214,plain,
( ( ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(215,plain,
( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(216,plain,
( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(217,plain,
( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(218,plain,
( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
= $true ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(219,plain,
( ( ( lMary_THFTYPE_i != lSue_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(220,plain,
( ( ( lMary_THFTYPE_i != lBill_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(221,plain,
! [SV3: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ SV3 )
= $true )
| ( ( SV1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(222,plain,
( ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(223,plain,
( ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(224,plain,
( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(225,plain,
( ( lMary_THFTYPE_i = lBill_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(228,plain,
! [SV3: $i,SV2: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( SV6 @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( ~ ( SV6 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[221:[bind(SV1,$thf( ^ [SV4: $i] : ^ [SV5: $i] : ~ ( SV6 @ SV4 @ SV5 ) ))]]) ).
thf(229,plain,
! [SV3: $i,SV2: $i] :
( ( ( ( SV2 != SV3 ) )
= $true )
| ( ( ( lBob_THFTYPE_i != lBill_THFTYPE_i ) )
= $false )
| ( ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[221:[bind(SV1,$thf( ^ [SY12: $i] : ^ [SY13: $i] : ( SY12 != SY13 ) ))]]) ).
thf(231,plain,
! [SV3: $i,SV2: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV2 @ SV3 )
= $false )
| ( ( ~ ( SV6 @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( ~ ( SV6 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(232,plain,
! [SV3: $i,SV2: $i] :
( ( ( SV2 = SV3 )
= $false )
| ( ( ( lBob_THFTYPE_i != lBill_THFTYPE_i ) )
= $false )
| ( ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(233,plain,
! [SV3: $i,SV2: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( SV6 @ SV2 @ SV3 )
= $false )
| ( ( ~ ( SV6 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(234,plain,
! [SV3: $i,SV2: $i] :
( ( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
= $true )
| ( ( SV2 = SV3 )
= $false )
| ( ( ( lSue_THFTYPE_i != lBob_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(235,plain,
! [SV3: $i,SV2: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
= $true )
| ( ( SV6 @ SV2 @ SV3 )
= $false )
| ( ( SV6 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(236,plain,
! [SV3: $i,SV2: $i] :
( ( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
= $true )
| ( ( SV2 = SV3 )
= $false )
| ( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(237,plain,
( ( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
= $true )
| ( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[236:[bind(SV2,$thf( SV3 ))]]) ).
thf(238,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[157,237,235,225,224,223,222,221,218,217,216,215,202,201,200,197,196,194,187,183,158]) ).
thf(239,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : CSR153^2 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.07 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.07/0.26 % Computer : n026.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Thu Jun 9 21:52:33 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.07/0.27 .
% 0.07/0.28
% 0.07/0.28 No.of.Axioms: 128
% 0.07/0.28
% 0.07/0.28 Length.of.Defs: 0
% 0.07/0.28
% 0.07/0.28 Contains.Choice.Funs: false
% 0.10/0.29 ....
% 0.10/0.30 (rf:2,axioms:8,ps:3,u:5,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:130,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.10/0.34
% 0.10/0.34 ********************************
% 0.10/0.34 * All subproblems solved! *
% 0.10/0.34 ********************************
% 0.10/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:8,ps:3,u:5,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:238,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.10/0.34
% 0.10/0.34 %**** Beginning of derivation protocol ****
% 0.10/0.34 % SZS output start CNFRefutation
% See solution above
% 0.10/0.34
% 0.10/0.34 %**** End of derivation protocol ****
% 0.10/0.34 %**** no. of clauses in derivation: 116 ****
% 0.10/0.34 %**** clause counter: 238 ****
% 0.10/0.34
% 0.10/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:8,ps:3,u:5,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:238,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------