%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR120^1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 10:16:03 AM UTC 2026
% Result : Theorem 0.11s 0.21s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 31 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 163 ( 46 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 218 ( 36 ~; 24 |; 0 &; 158 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 25 ( 0 ^; 20 !; 5 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(tp_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(tp_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(tp_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(tp_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(1,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(2,conjecture,
? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(3,negated_conjecture,
( ( ? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) )
= $false ),
inference(unfold_def,[status(thm)],[3]) ).
thf(5,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(6,plain,
( ( ~ ? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ ? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ~ ! [SX0: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SX0 @ lBill_THFTYPE_i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(10,plain,
( ( ~ ! [SX0: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SX0 @ lBill_THFTYPE_i ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [SX0: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SX0 @ lBill_THFTYPE_i ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SV1 @ lBill_THFTYPE_i ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(13,plain,
! [SV1: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SV1 @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(14,plain,
! [SV2: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i ) )
= $false ),
inference(rename,[status(thm)],[13]) ).
thf(15,plain,
! [SV2: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) )
= $false ),
inference(res,[status(thm)],[14,7]) ).
thf(16,plain,
! [SV2: $i] :
( ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $true )
| ( ( ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ) ),
inference(extuni,[status(esa)],[15]) ).
thf(17,plain,
! [SV2: $i] :
( ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $false ) ),
inference(extuni,[status(esa)],[15]) ).
thf(18,plain,
! [SV2: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(19,plain,
! [SV2: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(20,plain,
! [SV2: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(21,plain,
! [SV2: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(22,plain,
! [SV2: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(23,plain,
! [SV2: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
! [SV2: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(26,plain,
! [SV2: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV3: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(rename,[status(thm)],[24]) ).
thf(30,plain,
! [SV3: $i] :
( ( ( likes_THFTYPE_IiioI @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ SV3 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(fac_restr,[status(thm)],[27]) ).
thf(31,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(extuni,[status(esa)],[30:[bind(SV3,$thf( lMary_THFTYPE_i ))]]) ).
thf(33,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[7,31,26,25,14]) ).
thf(34,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR120^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.16 % Computer : n013.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Tue Oct 6 18:54:36 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.21
% 0.11/0.21 No.of.Axioms: 1
% 0.11/0.21
% 0.11/0.21 Length.of.Defs: 0
% 0.11/0.21
% 0.11/0.21 Contains.Choice.Funs: false
% 0.11/0.21
% 0.11/0.21 ********************************
% 0.11/0.21 * All subproblems solved! *
% 0.11/0.21 ********************************
% 0.11/0.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:33,loop_count:5,foatp_calls:2,translation:fof_full)
% 0.11/0.21
% 0.11/0.21 %**** Beginning of derivation protocol ****
% 0.11/0.21 % SZS output start CNFRefutation
% See solution above
% 0.11/0.21
% 0.11/0.21 %**** End of derivation protocol ****
% 0.11/0.21 %**** no. of clauses in derivation: 31 ****
% 0.11/0.21 %**** clause counter: 33 ****
% 0.11/0.21
% 0.11/0.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:33,loop_count:5,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------