%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR028+1 : TPTP v9.3.1. Released v3.4.0.
% 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 : n011.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 10:13:03 AM UTC 2026
% Result : Theorem 0.08s 0.21s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 129 ( 35 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 122 ( 26 ~; 18 |; 3 &; 69 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 13 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_binarypredicate,type,
binarypredicate: $i > $o ).
thf(tp_c_basekb,type,
c_basekb: $i ).
thf(tp_c_calendarsmt,type,
c_calendarsmt: $i ).
thf(tp_c_calendarsvocabularymt,type,
c_calendarsvocabularymt: $i ).
thf(tp_c_cyclistsmt,type,
c_cyclistsmt: $i ).
thf(tp_c_genlmt,type,
c_genlmt: $i ).
thf(tp_c_individual,type,
c_individual: $i ).
thf(tp_c_tptp_member2089_mt,type,
c_tptp_member2089_mt: $i ).
thf(tp_c_tptp_spindleheadmt,type,
c_tptp_spindleheadmt: $i ).
thf(tp_c_tptptptpcol_16_25985,type,
c_tptptptpcol_16_25985: $i ).
thf(tp_c_transitivebinarypredicate,type,
c_transitivebinarypredicate: $i ).
thf(tp_c_universalvocabularymt,type,
c_universalvocabularymt: $i ).
thf(tp_collection,type,
collection: $i > $o ).
thf(tp_disjointwith,type,
disjointwith: $i > $i > $o ).
thf(tp_genlinverse,type,
genlinverse: $i > $i > $o ).
thf(tp_genlmt,type,
genlmt: $i > $i > $o ).
thf(tp_genlpreds,type,
genlpreds: $i > $i > $o ).
thf(tp_genls,type,
genls: $i > $i > $o ).
thf(tp_individual,type,
individual: $i > $o ).
thf(tp_isa,type,
isa: $i > $i > $o ).
thf(tp_microtheory,type,
microtheory: $i > $o ).
thf(tp_mtvisible,type,
mtvisible: $i > $o ).
thf(tp_predicate,type,
predicate: $i > $o ).
thf(tp_thing,type,
thing: $i > $o ).
thf(tp_transitivebinarypredicate,type,
transitivebinarypredicate: $i > $o ).
thf(1,axiom,
mtvisible @ c_universalvocabularymt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).
thf(9,axiom,
! [SPECMT: $i,GENLMT: $i] :
( ( ( mtvisible @ SPECMT )
& ( genlmt @ SPECMT @ GENLMT ) )
=> ( mtvisible @ GENLMT ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
thf(17,axiom,
mtvisible @ c_basekb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
thf(38,axiom,
individual @ c_tptptptpcol_16_25985,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
thf(46,conjecture,
( ( mtvisible @ c_tptp_member2089_mt )
=> ( individual @ c_tptptptpcol_16_25985 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query28) ).
thf(47,negated_conjecture,
( ( ( mtvisible @ c_tptp_member2089_mt )
=> ( individual @ c_tptptptpcol_16_25985 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[46]) ).
thf(48,plain,
( ( ( mtvisible @ c_tptp_member2089_mt )
=> ( individual @ c_tptptptpcol_16_25985 ) )
= $false ),
inference(unfold_def,[status(thm)],[47]) ).
thf(49,plain,
( ( mtvisible @ c_universalvocabularymt )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(50,plain,
( ( ! [SPECMT: $i,GENLMT: $i] :
( ( ( mtvisible @ SPECMT )
& ( genlmt @ SPECMT @ GENLMT ) )
=> ( mtvisible @ GENLMT ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(51,plain,
( ( mtvisible @ c_basekb )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(52,plain,
( ( individual @ c_tptptptpcol_16_25985 )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(53,plain,
( ( mtvisible @ c_tptp_member2089_mt )
= $true ),
inference(standard_cnf,[status(thm)],[48]) ).
thf(54,plain,
( ( individual @ c_tptptptpcol_16_25985 )
= $false ),
inference(standard_cnf,[status(thm)],[48]) ).
thf(55,plain,
( ( ~ ( individual @ c_tptptptpcol_16_25985 ) )
= $true ),
inference(polarity_switch,[status(thm)],[54]) ).
thf(56,plain,
( ( individual @ c_tptptptpcol_16_25985 )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(57,plain,
( ( mtvisible @ c_basekb )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(58,plain,
( ( ! [SPECMT: $i,GENLMT: $i] :
( ( ( mtvisible @ SPECMT )
& ( genlmt @ SPECMT @ GENLMT ) )
=> ( mtvisible @ GENLMT ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(59,plain,
( ( mtvisible @ c_universalvocabularymt )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(60,plain,
( ( mtvisible @ c_tptp_member2089_mt )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(61,plain,
( ( ~ ( individual @ c_tptptptpcol_16_25985 ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(62,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( mtvisible @ SX0 )
| ~ ( genlmt @ SX0 @ SX1 ) )
| ( mtvisible @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(63,plain,
( ( individual @ c_tptptptpcol_16_25985 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(64,plain,
! [SV1: $i] :
( ( ! [SY2: $i] :
( ~ ~ ( ~ ( mtvisible @ SV1 )
| ~ ( genlmt @ SV1 @ SY2 ) )
| ( mtvisible @ SY2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(65,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ~ ( ~ ( mtvisible @ SV1 )
| ~ ( genlmt @ SV1 @ SV2 ) )
| ( mtvisible @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(66,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( mtvisible @ SV1 )
| ~ ( genlmt @ SV1 @ SV2 ) ) )
= $true )
| ( ( mtvisible @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(67,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ( ~ ( mtvisible @ SV1 )
| ~ ( genlmt @ SV1 @ SV2 ) ) )
= $false )
| ( ( mtvisible @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(68,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ( mtvisible @ SV1 )
| ~ ( genlmt @ SV1 @ SV2 ) )
= $true )
| ( ( mtvisible @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(69,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ( mtvisible @ SV1 ) )
= $true )
| ( ( ~ ( genlmt @ SV1 @ SV2 ) )
= $true )
| ( ( mtvisible @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(70,plain,
! [SV2: $i,SV1: $i] :
( ( ( mtvisible @ SV1 )
= $false )
| ( ( ~ ( genlmt @ SV1 @ SV2 ) )
= $true )
| ( ( mtvisible @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(71,plain,
! [SV2: $i,SV1: $i] :
( ( ( genlmt @ SV1 @ SV2 )
= $false )
| ( ( mtvisible @ SV1 )
= $false )
| ( ( mtvisible @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(72,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[56,71,63,60,59,57]) ).
thf(73,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR028+1 : TPTP v9.3.1. Released v3.4.0.
% 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
% 0.08/0.17 % Computer : n011.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Oct 6 18:41:06 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.21
% 0.08/0.21 No.of.Axioms: 4
% 0.08/0.21
% 0.08/0.21 Length.of.Defs: 0
% 0.08/0.21
% 0.08/0.21 Contains.Choice.Funs: false
% 0.08/0.21
% 0.08/0.21 ********************************
% 0.08/0.21 * All subproblems solved! *
% 0.08/0.21 ********************************
% 0.08/0.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:5,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:72,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.08/0.21
% 0.08/0.21 %**** Beginning of derivation protocol ****
% 0.08/0.21 % SZS output start CNFRefutation
% See solution above
% 0.08/0.21
% 0.08/0.21 %**** End of derivation protocol ****
% 0.08/0.21 %**** no. of clauses in derivation: 32 ****
% 0.08/0.21 %**** clause counter: 72 ****
% 0.08/0.21
% 0.08/0.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:5,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:72,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------