TSTP Solution File: SYO175^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO175^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n027.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 : Thu Jul 21 17:32:33 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 64 ( 39 unt; 13 typ; 0 def)
% Number of atoms : 279 ( 69 equ; 0 cnn)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 414 ( 46 ~; 44 |; 39 &; 278 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 92 ( 0 ^ 70 !; 22 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_p,type,
p: $tType ).
thf(tp_cBIRD,type,
cBIRD: a ).
thf(tp_cCATERPILLAR,type,
cCATERPILLAR: a ).
thf(tp_cFOX,type,
cFOX: a ).
thf(tp_cGRAIN,type,
cGRAIN: p ).
thf(tp_cMEAT_EATS,type,
cMEAT_EATS: a > a > $o ).
thf(tp_cSMALLER,type,
cSMALLER: a > a > $o ).
thf(tp_cSNAIL,type,
cSNAIL: a ).
thf(tp_cVEG_EATS,type,
cVEG_EATS: a > p > $o ).
thf(tp_cWOLF,type,
cWOLF: a ).
thf(tp_sK1_Xy,type,
sK1_Xy: p ).
thf(tp_sK2_Xy,type,
sK2_Xy: p ).
thf(1,conjecture,
( ( ! [Xx: a] :
( ! [Xy: p] : ( cVEG_EATS @ Xx @ Xy )
| ! [Xz: a] :
( ( ( cSMALLER @ Xz @ Xx )
& ? [Xw: p] : ( cVEG_EATS @ Xz @ Xw ) )
=> ( cMEAT_EATS @ Xx @ Xz ) ) )
& ( cSMALLER @ cCATERPILLAR @ cBIRD )
& ( cSMALLER @ cSNAIL @ cBIRD )
& ( cSMALLER @ cBIRD @ cFOX )
& ( cSMALLER @ cFOX @ cWOLF )
& ~ ( cMEAT_EATS @ cWOLF @ cFOX )
& ~ ( cVEG_EATS @ cWOLF @ cGRAIN )
& ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
& ~ ( cMEAT_EATS @ cBIRD @ cSNAIL )
& ? [Xy: p] : ( cVEG_EATS @ cCATERPILLAR @ Xy )
& ? [Xy: p] : ( cVEG_EATS @ cSNAIL @ Xy ) )
=> ? [Xx: a,Xy: a] :
( ( cMEAT_EATS @ Xx @ Xy )
& ( cVEG_EATS @ Xy @ cGRAIN ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPUZ031_1_HO) ).
thf(2,negated_conjecture,
( ( ( ! [Xx: a] :
( ! [Xy: p] : ( cVEG_EATS @ Xx @ Xy )
| ! [Xz: a] :
( ( ( cSMALLER @ Xz @ Xx )
& ? [Xw: p] : ( cVEG_EATS @ Xz @ Xw ) )
=> ( cMEAT_EATS @ Xx @ Xz ) ) )
& ( cSMALLER @ cCATERPILLAR @ cBIRD )
& ( cSMALLER @ cSNAIL @ cBIRD )
& ( cSMALLER @ cBIRD @ cFOX )
& ( cSMALLER @ cFOX @ cWOLF )
& ~ ( cMEAT_EATS @ cWOLF @ cFOX )
& ~ ( cVEG_EATS @ cWOLF @ cGRAIN )
& ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
& ~ ( cMEAT_EATS @ cBIRD @ cSNAIL )
& ? [Xy: p] : ( cVEG_EATS @ cCATERPILLAR @ Xy )
& ? [Xy: p] : ( cVEG_EATS @ cSNAIL @ Xy ) )
=> ? [Xx: a,Xy: a] :
( ( cMEAT_EATS @ Xx @ Xy )
& ( cVEG_EATS @ Xy @ cGRAIN ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [Xx: a] :
( ! [Xy: p] : ( cVEG_EATS @ Xx @ Xy )
| ! [Xz: a] :
( ( ( cSMALLER @ Xz @ Xx )
& ? [Xw: p] : ( cVEG_EATS @ Xz @ Xw ) )
=> ( cMEAT_EATS @ Xx @ Xz ) ) )
& ( cSMALLER @ cCATERPILLAR @ cBIRD )
& ( cSMALLER @ cSNAIL @ cBIRD )
& ( cSMALLER @ cBIRD @ cFOX )
& ( cSMALLER @ cFOX @ cWOLF )
& ~ ( cMEAT_EATS @ cWOLF @ cFOX )
& ~ ( cVEG_EATS @ cWOLF @ cGRAIN )
& ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
& ~ ( cMEAT_EATS @ cBIRD @ cSNAIL )
& ? [Xy: p] : ( cVEG_EATS @ cCATERPILLAR @ Xy )
& ? [Xy: p] : ( cVEG_EATS @ cSNAIL @ Xy ) )
=> ? [Xx: a,Xy: a] :
( ( cMEAT_EATS @ Xx @ Xy )
& ( cVEG_EATS @ Xy @ cGRAIN ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: a] :
( ! [Xy: p] : ( cVEG_EATS @ Xx @ Xy )
| ! [Xz: a] :
( ( ( cSMALLER @ Xz @ Xx )
& ? [Xw: p] : ( cVEG_EATS @ Xz @ Xw ) )
=> ( cMEAT_EATS @ Xx @ Xz ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( cSMALLER @ cCATERPILLAR @ cBIRD )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( cSMALLER @ cSNAIL @ cBIRD )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( cSMALLER @ cBIRD @ cFOX )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( cSMALLER @ cFOX @ cWOLF )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( ~ ( cMEAT_EATS @ cWOLF @ cFOX ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(10,plain,
( ( ~ ( cVEG_EATS @ cWOLF @ cGRAIN ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(11,plain,
( ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(12,plain,
( ( ~ ( cMEAT_EATS @ cBIRD @ cSNAIL ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(13,plain,
( ( ? [Xy: p] : ( cVEG_EATS @ cCATERPILLAR @ Xy ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(14,plain,
( ( ? [Xy: p] : ( cVEG_EATS @ cSNAIL @ Xy ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(15,plain,
( ( ? [Xx: a,Xy: a] :
( ( cMEAT_EATS @ Xx @ Xy )
& ( cVEG_EATS @ Xy @ cGRAIN ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(16,plain,
( ( ~ ? [Xx: a,Xy: a] :
( ( cMEAT_EATS @ Xx @ Xy )
& ( cVEG_EATS @ Xy @ cGRAIN ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(17,plain,
( ( ! [Xx: a,Xy: a] :
( ~ ( cMEAT_EATS @ Xx @ Xy )
| ~ ( cVEG_EATS @ Xy @ cGRAIN ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(18,plain,
( ( ! [Xx: a] :
( ! [Xy: p] : ( cVEG_EATS @ Xx @ Xy )
| ! [Xz: a] :
( ! [Xw: p] :
~ ( cVEG_EATS @ Xz @ Xw )
| ~ ( cSMALLER @ Xz @ Xx )
| ( cMEAT_EATS @ Xx @ Xz ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(19,plain,
( ( cVEG_EATS @ cCATERPILLAR @ sK1_Xy )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(20,plain,
( ( cVEG_EATS @ cSNAIL @ sK2_Xy )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(21,plain,
( ( cVEG_EATS @ cSNAIL @ sK2_Xy )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(22,plain,
( ( cVEG_EATS @ cCATERPILLAR @ sK1_Xy )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( cMEAT_EATS @ cBIRD @ cSNAIL ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(24,plain,
( ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(25,plain,
( ( ~ ( cVEG_EATS @ cWOLF @ cGRAIN ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(26,plain,
( ( ~ ( cMEAT_EATS @ cWOLF @ cFOX ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(27,plain,
( ( cSMALLER @ cFOX @ cWOLF )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(28,plain,
( ( cSMALLER @ cBIRD @ cFOX )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(29,plain,
( ( cSMALLER @ cSNAIL @ cBIRD )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(30,plain,
( ( cSMALLER @ cCATERPILLAR @ cBIRD )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(31,plain,
( ( ! [Xx: a] :
( ! [Xy: p] : ( cVEG_EATS @ Xx @ Xy )
| ! [Xz: a] :
( ! [Xw: p] :
~ ( cVEG_EATS @ Xz @ Xw )
| ~ ( cSMALLER @ Xz @ Xx )
| ( cMEAT_EATS @ Xx @ Xz ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(32,plain,
( ( ! [Xx: a,Xy: a] :
( ~ ( cMEAT_EATS @ Xx @ Xy )
| ~ ( cVEG_EATS @ Xy @ cGRAIN ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(33,plain,
( ( cMEAT_EATS @ cBIRD @ cSNAIL )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(34,plain,
( ( cVEG_EATS @ cWOLF @ cGRAIN )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(35,plain,
( ( cMEAT_EATS @ cWOLF @ cFOX )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(36,plain,
! [SV1: a] :
( ( ! [SY8: p] : ( cVEG_EATS @ SV1 @ SY8 )
| ! [SY9: a] :
( ! [Xw: p] :
~ ( cVEG_EATS @ SY9 @ Xw )
| ~ ( cSMALLER @ SY9 @ SV1 )
| ( cMEAT_EATS @ SV1 @ SY9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(37,plain,
! [SV2: a] :
( ( ! [SY11: a] :
( ~ ( cMEAT_EATS @ SV2 @ SY11 )
| ~ ( cVEG_EATS @ SY11 @ cGRAIN ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV1: a] :
( ( ( ! [SY8: p] : ( cVEG_EATS @ SV1 @ SY8 ) )
= $true )
| ( ( ! [SY9: a] :
( ! [Xw: p] :
~ ( cVEG_EATS @ SY9 @ Xw )
| ~ ( cSMALLER @ SY9 @ SV1 )
| ( cMEAT_EATS @ SV1 @ SY9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV3: a,SV2: a] :
( ( ~ ( cMEAT_EATS @ SV2 @ SV3 )
| ~ ( cVEG_EATS @ SV3 @ cGRAIN ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(40,plain,
! [SV4: p,SV1: a] :
( ( ( cVEG_EATS @ SV1 @ SV4 )
= $true )
| ( ( ! [SY9: a] :
( ! [Xw: p] :
~ ( cVEG_EATS @ SY9 @ Xw )
| ~ ( cSMALLER @ SY9 @ SV1 )
| ( cMEAT_EATS @ SV1 @ SY9 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(41,plain,
! [SV3: a,SV2: a] :
( ( ( ~ ( cMEAT_EATS @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( cVEG_EATS @ SV3 @ cGRAIN ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV4: p,SV1: a,SV5: a] :
( ( ( ! [SY12: p] :
~ ( cVEG_EATS @ SV5 @ SY12 )
| ~ ( cSMALLER @ SV5 @ SV1 )
| ( cMEAT_EATS @ SV1 @ SV5 ) )
= $true )
| ( ( cVEG_EATS @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV3: a,SV2: a] :
( ( ( cMEAT_EATS @ SV2 @ SV3 )
= $false )
| ( ( ~ ( cVEG_EATS @ SV3 @ cGRAIN ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(44,plain,
! [SV4: p,SV1: a,SV5: a] :
( ( ( ! [SY12: p] :
~ ( cVEG_EATS @ SV5 @ SY12 )
| ~ ( cSMALLER @ SV5 @ SV1 ) )
= $true )
| ( ( cMEAT_EATS @ SV1 @ SV5 )
= $true )
| ( ( cVEG_EATS @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV2: a,SV3: a] :
( ( ( cVEG_EATS @ SV3 @ cGRAIN )
= $false )
| ( ( cMEAT_EATS @ SV2 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(46,plain,
! [SV4: p,SV1: a,SV5: a] :
( ( ( ! [SY12: p] :
~ ( cVEG_EATS @ SV5 @ SY12 ) )
= $true )
| ( ( ~ ( cSMALLER @ SV5 @ SV1 ) )
= $true )
| ( ( cMEAT_EATS @ SV1 @ SV5 )
= $true )
| ( ( cVEG_EATS @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV4: p,SV1: a,SV6: p,SV5: a] :
( ( ( ~ ( cVEG_EATS @ SV5 @ SV6 ) )
= $true )
| ( ( ~ ( cSMALLER @ SV5 @ SV1 ) )
= $true )
| ( ( cMEAT_EATS @ SV1 @ SV5 )
= $true )
| ( ( cVEG_EATS @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(48,plain,
! [SV4: p,SV1: a,SV6: p,SV5: a] :
( ( ( cVEG_EATS @ SV5 @ SV6 )
= $false )
| ( ( ~ ( cSMALLER @ SV5 @ SV1 ) )
= $true )
| ( ( cMEAT_EATS @ SV1 @ SV5 )
= $true )
| ( ( cVEG_EATS @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(49,plain,
! [SV4: p,SV6: p,SV1: a,SV5: a] :
( ( ( cSMALLER @ SV5 @ SV1 )
= $false )
| ( ( cVEG_EATS @ SV5 @ SV6 )
= $false )
| ( ( cMEAT_EATS @ SV1 @ SV5 )
= $true )
| ( ( cVEG_EATS @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(50,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,49,45,35,34,33,30,29,28,27,24,22]) ).
thf(51,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO175^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 02:28:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 0
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.19/0.35 (rf:0,axioms:0,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:2,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.19/0.39
% 0.19/0.39 ********************************
% 0.19/0.39 * All subproblems solved! *
% 0.19/0.39 ********************************
% 0.19/0.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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:50,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.39
% 0.19/0.39 %**** Beginning of derivation protocol ****
% 0.19/0.39 % SZS output start CNFRefutation
% See solution above
% 0.19/0.39
% 0.19/0.39 %**** End of derivation protocol ****
% 0.19/0.39 %**** no. of clauses in derivation: 51 ****
% 0.19/0.39 %**** clause counter: 50 ****
% 0.19/0.39
% 0.19/0.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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:50,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------