%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR136^1 : 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 : 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 10:16:11 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 137 ( 55 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 301 ( 83 ~; 32 |; 10 &; 176 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 8 con; 0-2 aty)
% Number of variables : 63 ( 0 ^; 58 !; 5 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_lAnna_THFTYPE_i,type,
lAnna_THFTYPE_i: $i ).
thf(tp_lBen_THFTYPE_i,type,
lBen_THFTYPE_i: $i ).
thf(tp_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(tp_lBob_THFTYPE_i,type,
lBob_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_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(1,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_007) ).
thf(2,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_006) ).
thf(3,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).
thf(4,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).
thf(5,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).
thf(6,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(7,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(8,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(9,conjecture,
? [R: $i > $i > $o] :
( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [A: $i,B: $i] : ( R @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(10,negated_conjecture,
( ( ? [R: $i > $i > $o] :
( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,plain,
( ( ? [R: $i > $i > $o] :
( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) )
= $false ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(13,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(14,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(15,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(16,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(17,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(18,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(19,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(20,plain,
( ( ~ ? [R: $i > $i > $o] :
( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(21,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(23,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(24,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(25,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(26,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(27,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(28,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(29,plain,
( ( ~ ? [R: $i > $i > $o] :
( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(30,plain,
( ( ~ ~ ! [SX0: $i > $i > $o] :
~ ~ ( ~ ~ ( ~ ( SX0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( SX0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ~ ~ ! [SX1: $i,SX2: $i] : ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(31,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(32,plain,
( ( ~ ! [SX0: $i > $i > $o] :
~ ~ ( ~ ~ ( ~ ( SX0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( SX0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ~ ~ ! [SX1: $i,SX2: $i] : ( SX0 @ SX1 @ SX2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
( ( ! [SX0: $i > $i > $o] :
~ ~ ( ~ ~ ( ~ ( SX0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( SX0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ~ ~ ! [SX1: $i,SX2: $i] : ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(34,plain,
! [SV1: $i > $i > $o] :
( ( ~ ~ ( ~ ~ ( ~ ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ~ ~ ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(35,plain,
! [SV1: $i > $i > $o] :
( ( ~ ( ~ ~ ( ~ ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ~ ~ ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(36,plain,
! [SV1: $i > $i > $o] :
( ( ~ ~ ( ~ ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ~ ~ ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(37,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true )
| ( ( ~ ~ ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(38,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( ~ ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $false )
| ( ( ~ ~ ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(39,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ~ ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(40,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ~ ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(41,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ~ ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(42,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ~ ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(43,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $false )
| ( ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(44,plain,
! [SV1: $i > $i > $o] :
( ( ( ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) )
= $true )
| ( ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(45,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( ( ! [SY5: $i] : ( SV1 @ SV2 @ SY5 ) )
= $true )
| ( ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(46,plain,
! [SV3: $i,SV2: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV2 @ SV3 )
= $true )
| ( ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(47,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,46,31,28,27,26,25,24,23]) ).
thf(48,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR136^1 : 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
% 0.08/0.20 % Computer : n011.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Oct 6 18:55:36 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.25
% 0.08/0.25 No.of.Axioms: 8
% 0.08/0.25
% 0.08/0.25 Length.of.Defs: 0
% 0.08/0.25
% 0.08/0.25 Contains.Choice.Funs: false
% 0.08/0.25
% 0.08/0.25 ********************************
% 0.08/0.25 * All subproblems solved! *
% 0.08/0.25 ********************************
% 0.08/0.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,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:47,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.08/0.25
% 0.08/0.25 %**** Beginning of derivation protocol ****
% 0.08/0.25 % SZS output start CNFRefutation
% See solution above
% 0.08/0.25
% 0.08/0.25 %**** End of derivation protocol ****
% 0.08/0.25 %**** no. of clauses in derivation: 48 ****
% 0.08/0.25 %**** clause counter: 47 ****
% 0.08/0.25
% 0.08/0.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,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:47,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------