TSTP Solution File: CSR142^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : CSR142^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 21:37:31 EDT 2022
% Result : Theorem 0.20s 0.38s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 22 unt; 6 typ; 0 def)
% Number of atoms : 148 ( 52 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 307 ( 55 ~; 54 |; 2 &; 192 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 98 ( 98 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 112 ( 0 ^ 108 !; 4 ?; 112 :)
% 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(3,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(4,conjecture,
? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ),
file('/export/starexec/sandbox2/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,
( ( ! [X: $i] :
~ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
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 ) )
& ! [INST1: $i,INST2: $i] :
( ~ ( REL2 @ INST2 @ INST1 )
| ( REL1 @ INST1 @ INST2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(13,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(14,plain,
( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
| ( ! [INST1: $i,INST2: $i] :
( ~ ( REL1 @ INST1 @ INST2 )
| ( REL2 @ INST2 @ INST1 ) )
& ! [INST1: $i,INST2: $i] :
( ~ ( REL2 @ INST2 @ INST1 )
| ( REL1 @ INST1 @ INST2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(15,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(16,plain,
( ( ! [X: $i] :
~ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(17,plain,
( ( ! [SX0: $i > $i > $o,SX1: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SX1 @ SX0 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( SX1 @ SX2 @ SX3 )
| ( SX0 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( SX0 @ SX3 @ SX2 )
| ( SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(18,plain,
! [SV1: $i] :
( ( ~ ( husband_THFTYPE_IiioI @ SV1 @ lCorina_THFTYPE_i ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV2: $i > $i > $o] :
( ( ! [SY5: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SY5 @ SV2 )
| ~ ( ~ ! [SY6: $i,SY7: $i] :
( ~ ( SY5 @ SY6 @ SY7 )
| ( SV2 @ SY7 @ SY6 ) )
| ~ ! [SY8: $i,SY9: $i] :
( ~ ( SV2 @ SY9 @ SY8 )
| ( SY5 @ SY8 @ SY9 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV1: $i] :
( ( husband_THFTYPE_IiioI @ SV1 @ lCorina_THFTYPE_i )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(21,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
| ~ ( ~ ! [SY10: $i,SY11: $i] :
( ~ ( SV3 @ SY10 @ SY11 )
| ( SV2 @ SY11 @ SY10 ) )
| ~ ! [SY12: $i,SY13: $i] :
( ~ ( SV2 @ SY13 @ SY12 )
| ( SV3 @ SY12 @ SY13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY10: $i,SY11: $i] :
( ~ ( SV3 @ SY10 @ SY11 )
| ( SV2 @ SY11 @ SY10 ) )
| ~ ! [SY12: $i,SY13: $i] :
( ~ ( SV2 @ SY13 @ SY12 )
| ( SV3 @ SY12 @ SY13 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(23,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false )
| ( ( ~ ( ~ ! [SY10: $i,SY11: $i] :
( ~ ( SV3 @ SY10 @ SY11 )
| ( SV2 @ SY11 @ SY10 ) )
| ~ ! [SY12: $i,SY13: $i] :
( ~ ( SV2 @ SY13 @ SY12 )
| ( SV3 @ SY12 @ SY13 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(24,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ~ ! [SY10: $i,SY11: $i] :
( ~ ( SV3 @ SY10 @ SY11 )
| ( SV2 @ SY11 @ SY10 ) )
| ~ ! [SY12: $i,SY13: $i] :
( ~ ( SV2 @ SY13 @ SY12 )
| ( SV3 @ SY12 @ SY13 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(25,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ~ ! [SY10: $i,SY11: $i] :
( ~ ( SV3 @ SY10 @ SY11 )
| ( SV2 @ SY11 @ SY10 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(26,plain,
! [SV3: $i > $i > $o,SV2: $i > $i > $o] :
( ( ( ~ ! [SY12: $i,SY13: $i] :
( ~ ( SV2 @ SY13 @ SY12 )
| ( SV3 @ SY12 @ SY13 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(27,plain,
! [SV2: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ! [SY10: $i,SY11: $i] :
( ~ ( SV3 @ SY10 @ SY11 )
| ( SV2 @ SY11 @ SY10 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(28,plain,
! [SV3: $i > $i > $o,SV2: $i > $i > $o] :
( ( ( ! [SY12: $i,SY13: $i] :
( ~ ( SV2 @ SY13 @ SY12 )
| ( SV3 @ SY12 @ SY13 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(29,plain,
! [SV2: $i > $i > $o,SV4: $i,SV3: $i > $i > $o] :
( ( ( ! [SY14: $i] :
( ~ ( SV3 @ SV4 @ SY14 )
| ( SV2 @ SY14 @ SV4 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV3: $i > $i > $o,SV5: $i,SV2: $i > $i > $o] :
( ( ( ! [SY15: $i] :
( ~ ( SV2 @ SY15 @ SV5 )
| ( SV3 @ SV5 @ SY15 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV2: $i > $i > $o,SV6: $i,SV4: $i,SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ SV4 @ SV6 )
| ( SV2 @ SV6 @ SV4 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV3: $i > $i > $o,SV5: $i,SV7: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV7 @ SV5 )
| ( SV3 @ SV5 @ SV7 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV2: $i > $i > $o,SV6: $i,SV4: $i,SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ SV4 @ SV6 ) )
= $true )
| ( ( SV2 @ SV6 @ SV4 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV3: $i > $i > $o,SV5: $i,SV7: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV7 @ SV5 ) )
= $true )
| ( ( SV3 @ SV5 @ SV7 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(35,plain,
! [SV2: $i > $i > $o,SV6: $i,SV4: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV4 @ SV6 )
= $false )
| ( ( SV2 @ SV6 @ SV4 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(36,plain,
! [SV3: $i > $i > $o,SV5: $i,SV7: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV7 @ SV5 )
= $false )
| ( ( SV3 @ SV5 @ SV7 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(37,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[13,36,35,20,15]) ).
thf(38,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR142^1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 11 13:20:37 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34
% 0.14/0.34 No.of.Axioms: 3
% 0.14/0.34
% 0.14/0.34 Length.of.Defs: 0
% 0.14/0.34
% 0.14/0.34 Contains.Choice.Funs: false
% 0.14/0.35 (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:5,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.20/0.38
% 0.20/0.38 ********************************
% 0.20/0.38 * All subproblems solved! *
% 0.20/0.38 ********************************
% 0.20/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:37,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.38
% 0.20/0.38 %**** Beginning of derivation protocol ****
% 0.20/0.38 % SZS output start CNFRefutation
% See solution above
% 0.20/0.38
% 0.20/0.38 %**** End of derivation protocol ****
% 0.20/0.38 %**** no. of clauses in derivation: 38 ****
% 0.20/0.38 %**** clause counter: 37 ****
% 0.20/0.38
% 0.20/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:37,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------