%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR142^1 : 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 : n015.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 10:16:13 AM UTC 2026
% Result : Theorem 0.09s 0.19s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 37 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 141 ( 49 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 292 ( 60 ~; 48 |; 0 &; 178 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 76 ( 76 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 86 ( 0 ^; 81 !; 5 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_husband_THFTYPE_IiioI,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_inverse_THFTYPE_IIiioIIiioIoI,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_lChris_THFTYPE_i,type,
lChris_THFTYPE_i: $i ).
thf(tp_lCorina_THFTYPE_i,type,
lCorina_THFTYPE_i: $i ).
thf(tp_wife_THFTYPE_IiioI,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(1,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(2,axiom,
! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
=> ! [INST1: $i,INST2: $i] :
( ( REL1 @ INST1 @ INST2 )
<=> ( REL2 @ INST2 @ INST1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(3,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(4,conjecture,
? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(5,negated_conjecture,
( ( ? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) )
= $false ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
=> ! [INST1: $i,INST2: $i] :
( ( REL1 @ INST1 @ INST2 )
<=> ( REL2 @ INST2 @ INST1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10,plain,
( ( ~ ? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(11,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
=> ! [INST1: $i,INST2: $i] :
( ( REL1 @ INST1 @ INST2 )
<=> ( REL2 @ INST2 @ INST1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(14,plain,
( ( ~ ? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( ~ ~ ! [SX0: $i] :
~ ( husband_THFTYPE_IiioI @ SX0 @ lCorina_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [SX0: $i > $i > $o,SX1: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SX1 @ SX0 )
| ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( SX1 @ SX2 @ SX3 )
| ( SX0 @ SX3 @ SX2 ) )
| ~ ( ~ ( SX0 @ SX3 @ SX2 )
| ( SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(17,plain,
( ( ~ ! [SX0: $i] :
~ ( husband_THFTYPE_IiioI @ SX0 @ lCorina_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: $i > $i > $o] :
( ( ! [SY5: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SY5 @ SV1 )
| ! [SY6: $i,SY7: $i] :
~ ( ~ ( ~ ( SY5 @ SY6 @ SY7 )
| ( SV1 @ SY7 @ SY6 ) )
| ~ ( ~ ( SV1 @ SY7 @ SY6 )
| ( SY5 @ SY6 @ SY7 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ! [SX0: $i] :
~ ( husband_THFTYPE_IiioI @ SX0 @ lCorina_THFTYPE_i ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
! [SV1: $i > $i > $o,SV2: $i > $i > $o] :
( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 )
| ! [SY8: $i,SY9: $i] :
~ ( ~ ( ~ ( SV2 @ SY8 @ SY9 )
| ( SV1 @ SY9 @ SY8 ) )
| ~ ( ~ ( SV1 @ SY9 @ SY8 )
| ( SV2 @ SY8 @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(21,plain,
! [SV3: $i] :
( ( ~ ( husband_THFTYPE_IiioI @ SV3 @ lCorina_THFTYPE_i ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV1: $i > $i > $o,SV2: $i > $i > $o] :
( ( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 ) )
= $true )
| ( ( ! [SY8: $i,SY9: $i] :
~ ( ~ ( ~ ( SV2 @ SY8 @ SY9 )
| ( SV1 @ SY9 @ SY8 ) )
| ~ ( ~ ( SV1 @ SY9 @ SY8 )
| ( SV2 @ SY8 @ SY9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV3: $i] :
( ( husband_THFTYPE_IiioI @ SV3 @ lCorina_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV1: $i > $i > $o,SV2: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 )
= $false )
| ( ( ! [SY8: $i,SY9: $i] :
~ ( ~ ( ~ ( SV2 @ SY8 @ SY9 )
| ( SV1 @ SY9 @ SY8 ) )
| ~ ( ~ ( SV1 @ SY9 @ SY8 )
| ( SV2 @ SY8 @ SY9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
! [SV1: $i > $i > $o,SV4: $i,SV2: $i > $i > $o] :
( ( ( ! [SY10: $i] :
~ ( ~ ( ~ ( SV2 @ SV4 @ SY10 )
| ( SV1 @ SY10 @ SV4 ) )
| ~ ( ~ ( SV1 @ SY10 @ SV4 )
| ( SV2 @ SV4 @ SY10 ) ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(26,plain,
! [SV1: $i > $i > $o,SV5: $i,SV4: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV2 @ SV4 @ SV5 )
| ( SV1 @ SV5 @ SV4 ) )
| ~ ( ~ ( SV1 @ SV5 @ SV4 )
| ( SV2 @ SV4 @ SV5 ) ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(27,plain,
! [SV1: $i > $i > $o,SV5: $i,SV4: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ~ ( SV2 @ SV4 @ SV5 )
| ( SV1 @ SV5 @ SV4 ) )
| ~ ( ~ ( SV1 @ SV5 @ SV4 )
| ( SV2 @ SV4 @ SV5 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(28,plain,
! [SV1: $i > $i > $o,SV5: $i,SV4: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ~ ( SV2 @ SV4 @ SV5 )
| ( SV1 @ SV5 @ SV4 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(29,plain,
! [SV2: $i > $i > $o,SV4: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ~ ( SV1 @ SV5 @ SV4 )
| ( SV2 @ SV4 @ SV5 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(30,plain,
! [SV1: $i > $i > $o,SV5: $i,SV4: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV4 @ SV5 )
| ( SV1 @ SV5 @ SV4 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(31,plain,
! [SV2: $i > $i > $o,SV4: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV5 @ SV4 )
| ( SV2 @ SV4 @ SV5 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(32,plain,
! [SV1: $i > $i > $o,SV5: $i,SV4: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV4 @ SV5 ) )
= $true )
| ( ( SV1 @ SV5 @ SV4 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV2: $i > $i > $o,SV4: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV5 @ SV4 ) )
= $true )
| ( ( SV2 @ SV4 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV1: $i > $i > $o,SV5: $i,SV4: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV4 @ SV5 )
= $false )
| ( ( SV1 @ SV5 @ SV4 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(35,plain,
! [SV2: $i > $i > $o,SV4: $i,SV5: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV5 @ SV4 )
= $false )
| ( ( SV2 @ SV4 @ SV5 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV2 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(36,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,35,34,23,13]) ).
thf(37,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR142^1 : TPTP v9.3.1. Released v4.1.0.
% 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
% 0.09/0.16 % Computer : n015.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Oct 6 18:59:13 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.19
% 0.09/0.19 No.of.Axioms: 3
% 0.09/0.19
% 0.09/0.19 Length.of.Defs: 0
% 0.09/0.19
% 0.09/0.19 Contains.Choice.Funs: false
% 0.09/0.19
% 0.09/0.19 ********************************
% 0.09/0.19 * All subproblems solved! *
% 0.09/0.19 ********************************
% 0.09/0.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:3,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:36,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.19
% 0.09/0.19 %**** Beginning of derivation protocol ****
% 0.09/0.19 % SZS output start CNFRefutation
% See solution above
% 0.09/0.19
% 0.09/0.19 %**** End of derivation protocol ****
% 0.09/0.19 %**** no. of clauses in derivation: 37 ****
% 0.09/0.19 %**** clause counter: 36 ****
% 0.09/0.19
% 0.09/0.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:3,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:36,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------