%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR035+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 : n001.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 10:13:23 AM UTC 2026
% Result : Theorem 0.10s 0.20s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 168 ( 45 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 235 ( 25 ~; 18 |; 0 &; 178 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 28 usr; 12 con; 0-3 aty)
% Number of variables : 61 ( 0 ^; 56 !; 5 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_affiliatedwith,type,
affiliatedwith: $i > $i > $o ).
thf(tp_agent_generic,type,
agent_generic: $i > $o ).
thf(tp_binarypredicate,type,
binarypredicate: $i > $o ).
thf(tp_c_affiliatedwith,type,
c_affiliatedwith: $i ).
thf(tp_c_basekb,type,
c_basekb: $i ).
thf(tp_c_beloitcollege,type,
c_beloitcollege: $i ).
thf(tp_c_englishmt,type,
c_englishmt: $i ).
thf(tp_c_footballteam,type,
c_footballteam: $i ).
thf(tp_c_instancewithrelationtofn,type,
c_instancewithrelationtofn: $i ).
thf(tp_collection,type,
collection: $i > $o ).
thf(tp_controlcharacterfreestring,type,
controlcharacterfreestring: $i > $o ).
thf(tp_disjointwith,type,
disjointwith: $i > $i > $o ).
thf(tp_f_instancewithrelationtofn,type,
f_instancewithrelationtofn: $i > $i > $i > $i ).
thf(tp_footballteam,type,
footballteam: $i > $o ).
thf(tp_genlinverse,type,
genlinverse: $i > $i > $o ).
thf(tp_genlpreds,type,
genlpreds: $i > $i > $o ).
thf(tp_genls,type,
genls: $i > $i > $o ).
thf(tp_isa,type,
isa: $i > $i > $o ).
thf(tp_mtvisible,type,
mtvisible: $i > $o ).
thf(tp_n_1,type,
n_1: $i ).
thf(tp_n_2,type,
n_2: $i ).
thf(tp_n_3,type,
n_3: $i ).
thf(tp_natargument,type,
natargument: $i > $i > $i > $o ).
thf(tp_natfunction,type,
natfunction: $i > $i > $o ).
thf(tp_predicate,type,
predicate: $i > $o ).
thf(tp_prettystring,type,
prettystring: $i > $i > $o ).
thf(tp_s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege,type,
s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege: $i ).
thf(tp_thing,type,
thing: $i > $o ).
thf(1,axiom,
! [INS: $i,ARG2: $i] :
( ( prettystring @ INS @ ARG2 )
=> ( thing @ INS ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just38) ).
thf(2,axiom,
! [ARG1: $i,INS: $i] :
( ( prettystring @ ARG1 @ INS )
=> ( controlcharacterfreestring @ INS ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
thf(3,axiom,
! [ARG1: $i,ARG2: $i,ARG3: $i] : ( thing @ ( f_instancewithrelationtofn @ ARG1 @ ARG2 @ ARG3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just36) ).
thf(14,axiom,
mtvisible @ c_basekb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).
thf(38,axiom,
( ( mtvisible @ c_englishmt )
=> ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
thf(39,conjecture,
? [X: $i] :
( ( mtvisible @ c_englishmt )
=> ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query35) ).
thf(40,negated_conjecture,
( ( ? [X: $i] :
( ( mtvisible @ c_englishmt )
=> ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ X ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[39]) ).
thf(41,plain,
( ( ? [X: $i] :
( ( mtvisible @ c_englishmt )
=> ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ X ) ) )
= $false ),
inference(unfold_def,[status(thm)],[40]) ).
thf(42,plain,
( ( ! [INS: $i,ARG2: $i] :
( ( prettystring @ INS @ ARG2 )
=> ( thing @ INS ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(43,plain,
( ( ! [ARG1: $i,INS: $i] :
( ( prettystring @ ARG1 @ INS )
=> ( controlcharacterfreestring @ INS ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(44,plain,
( ( ! [ARG1: $i,ARG2: $i,ARG3: $i] : ( thing @ ( f_instancewithrelationtofn @ ARG1 @ ARG2 @ ARG3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(45,plain,
( ( mtvisible @ c_basekb )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(46,plain,
( ( ( mtvisible @ c_englishmt )
=> ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(47,plain,
( ( ~ ? [X: $i] :
( ( mtvisible @ c_englishmt )
=> ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[41]) ).
thf(48,plain,
( ( ( mtvisible @ c_englishmt )
=> ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(49,plain,
( ( mtvisible @ c_basekb )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(50,plain,
( ( ! [ARG1: $i,ARG2: $i,ARG3: $i] : ( thing @ ( f_instancewithrelationtofn @ ARG1 @ ARG2 @ ARG3 ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(51,plain,
( ( ! [ARG1: $i,INS: $i] :
( ( prettystring @ ARG1 @ INS )
=> ( controlcharacterfreestring @ INS ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(52,plain,
( ( ! [INS: $i,ARG2: $i] :
( ( prettystring @ INS @ ARG2 )
=> ( thing @ INS ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(53,plain,
( ( ~ ? [X: $i] :
( ( mtvisible @ c_englishmt )
=> ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(54,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( prettystring @ SX0 @ SX1 )
| ( controlcharacterfreestring @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(55,plain,
( ( ~ ~ ! [SX0: $i] :
~ ( ~ ( mtvisible @ c_englishmt )
| ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(56,plain,
( ( ~ ( mtvisible @ c_englishmt )
| ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(57,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( prettystring @ SX0 @ SX1 )
| ( thing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(58,plain,
! [SV1: $i] :
( ( ! [SY8: $i,SY9: $i] : ( thing @ ( f_instancewithrelationtofn @ SV1 @ SY8 @ SY9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(59,plain,
! [SV2: $i] :
( ( ! [SY10: $i] :
( ~ ( prettystring @ SV2 @ SY10 )
| ( controlcharacterfreestring @ SY10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(60,plain,
( ( ~ ! [SX0: $i] :
~ ( ~ ( mtvisible @ c_englishmt )
| ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(61,plain,
( ( ( ~ ( mtvisible @ c_englishmt ) )
= $true )
| ( ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(62,plain,
! [SV3: $i] :
( ( ! [SY11: $i] :
( ~ ( prettystring @ SV3 @ SY11 )
| ( thing @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(63,plain,
! [SV4: $i,SV1: $i] :
( ( ! [SY12: $i] : ( thing @ ( f_instancewithrelationtofn @ SV1 @ SV4 @ SY12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(64,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( prettystring @ SV2 @ SV5 )
| ( controlcharacterfreestring @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(65,plain,
( ( ! [SX0: $i] :
~ ( ~ ( mtvisible @ c_englishmt )
| ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(66,plain,
( ( ( mtvisible @ c_englishmt )
= $false )
| ( ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( prettystring @ SV3 @ SV6 )
| ( thing @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(68,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( thing @ ( f_instancewithrelationtofn @ SV1 @ SV4 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV5: $i,SV2: $i] :
( ( ( ~ ( prettystring @ SV2 @ SV5 ) )
= $true )
| ( ( controlcharacterfreestring @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV8: $i] :
( ( ~ ( ~ ( mtvisible @ c_englishmt )
| ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( prettystring @ SV3 @ SV6 ) )
= $true )
| ( ( thing @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(72,plain,
! [SV5: $i,SV2: $i] :
( ( ( prettystring @ SV2 @ SV5 )
= $false )
| ( ( controlcharacterfreestring @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(73,plain,
! [SV8: $i] :
( ( ~ ( mtvisible @ c_englishmt )
| ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ SV8 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(74,plain,
! [SV6: $i,SV3: $i] :
( ( ( prettystring @ SV3 @ SV6 )
= $false )
| ( ( thing @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(75,plain,
( ( ~ ( mtvisible @ c_englishmt ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(76,plain,
! [SV8: $i] :
( ( prettystring @ ( f_instancewithrelationtofn @ c_footballteam @ c_affiliatedwith @ c_beloitcollege ) @ SV8 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(77,plain,
( ( mtvisible @ c_englishmt )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(78,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[49,77,76,74,72,68,66]) ).
thf(79,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR035+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.15 % Computer : n001.cluster.edu
% 0.10/0.15 % Model : x86_64 x86_64
% 0.10/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.15 % Memory : 8046.5625MB
% 0.10/0.15 % OS : Linux 6.8.0-71-generic
% 0.10/0.15 % CPULimit : 300
% 0.10/0.15 % WCLimit : 300
% 0.10/0.15 % DateTime : Tue Oct 6 18:48:54 UTC 2026
% 0.10/0.15 % CPUTime :
% 0.10/0.15 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.20
% 0.10/0.20 No.of.Axioms: 5
% 0.10/0.20
% 0.10/0.20 Length.of.Defs: 0
% 0.10/0.20
% 0.10/0.20 Contains.Choice.Funs: false
% 0.10/0.20 .
% 0.10/0.20
% 0.10/0.20 ********************************
% 0.10/0.20 * All subproblems solved! *
% 0.10/0.20 ********************************
% 0.10/0.20 % 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:78,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.10/0.20
% 0.10/0.20 %**** Beginning of derivation protocol ****
% 0.10/0.20 % SZS output start CNFRefutation
% See solution above
% 0.10/0.20
% 0.10/0.20 %**** End of derivation protocol ****
% 0.10/0.20 %**** no. of clauses in derivation: 46 ****
% 0.10/0.20 %**** clause counter: 78 ****
% 0.10/0.20
% 0.10/0.20 % 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:78,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------