TSTP Solution File: SYO896^7 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO896^7 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n018.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 17:38:15 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of formulae : 58 ( 34 unt; 14 typ; 8 def)
% Number of atoms : 271 ( 56 equ; 0 cnn)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 386 ( 113 ~; 66 |; 2 &; 202 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 47 ( 47 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 51 ( 19 ^ 31 !; 1 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_mactual,type,
mactual: mworld ).
thf(tp_mand,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mbox,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(tp_mdia,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(tp_mequiv,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mimplies,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mlocal,type,
mlocal: ( mworld > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(tp_mor,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mrel,type,
mrel: mworld > mworld > $o ).
thf(tp_p,type,
p: mworld > $o ).
thf(tp_q,type,
q: mworld > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: mworld ).
thf(mand,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor) ).
thf(1,conjecture,
mlocal @ ( mimplies @ ( mand @ ( mbox @ ( mimplies @ p @ q ) ) @ ( mbox @ ( mimplies @ p @ ( mnot @ q ) ) ) ) @ ( mnot @ ( mdia @ p ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
( ( mlocal @ ( mimplies @ ( mand @ ( mbox @ ( mimplies @ p @ q ) ) @ ( mbox @ ( mimplies @ p @ ( mnot @ q ) ) ) ) @ ( mnot @ ( mdia @ p ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ( mlocal @ ( mimplies @ ( mand @ ( mbox @ ( mimplies @ p @ q ) ) @ ( mbox @ ( mimplies @ p @ ( mnot @ q ) ) ) ) @ ( mnot @ ( mdia @ p ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ( mlocal @ ( mimplies @ ( mand @ ( mbox @ ( mimplies @ p @ q ) ) @ ( mbox @ ( mimplies @ p @ ( mnot @ q ) ) ) ) @ ( mnot @ ( mdia @ p ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(5,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ( q @ SX0 ) )
| ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ~ ( q @ SX0 ) ) )
| ~ ~ ! [SX0: mworld] :
~ ~ ( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(6,plain,
( ( ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ( q @ SX0 ) )
| ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ~ ( q @ SX0 ) ) )
| ~ ~ ! [SX0: mworld] :
~ ~ ( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ( q @ SX0 ) )
| ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ~ ( q @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ~ ! [SX0: mworld] :
~ ~ ( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ( q @ SX0 ) )
| ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ~ ( q @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ! [SX0: mworld] :
~ ~ ( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ( q @ SX0 ) )
| ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ~ ( q @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [SX0: mworld] :
~ ~ ( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ( q @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ~ ( q @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ~ ( ~ ( mrel @ mactual @ sK1_SX0 )
| ~ ( p @ sK1_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[12]) ).
thf(16,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ( q @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( p @ SX0 )
| ~ ( q @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(18,plain,
( ( ~ ( ~ ( mrel @ mactual @ sK1_SX0 )
| ~ ( p @ sK1_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
! [SV1: mworld] :
( ( ~ ( mrel @ mactual @ SV1 )
| ~ ( p @ SV1 )
| ( q @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
! [SV2: mworld] :
( ( ~ ( mrel @ mactual @ SV2 )
| ~ ( p @ SV2 )
| ~ ( q @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ( mrel @ mactual @ sK1_SX0 )
| ~ ( p @ sK1_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: mworld] :
( ( ( ~ ( mrel @ mactual @ SV1 ) )
= $true )
| ( ( ~ ( p @ SV1 )
| ( q @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV2: mworld] :
( ( ( ~ ( mrel @ mactual @ SV2 ) )
= $true )
| ( ( ~ ( p @ SV2 )
| ~ ( q @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ( mrel @ mactual @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ( p @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(26,plain,
! [SV1: mworld] :
( ( ( mrel @ mactual @ SV1 )
= $false )
| ( ( ~ ( p @ SV1 )
| ( q @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV2: mworld] :
( ( ( mrel @ mactual @ SV2 )
= $false )
| ( ( ~ ( p @ SV2 )
| ~ ( q @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( mrel @ mactual @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( p @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(30,plain,
! [SV1: mworld] :
( ( ( ~ ( p @ SV1 ) )
= $true )
| ( ( q @ SV1 )
= $true )
| ( ( mrel @ mactual @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV2: mworld] :
( ( ( ~ ( p @ SV2 ) )
= $true )
| ( ( ~ ( q @ SV2 ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV1: mworld] :
( ( ( p @ SV1 )
= $false )
| ( ( q @ SV1 )
= $true )
| ( ( mrel @ mactual @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV2: mworld] :
( ( ( p @ SV2 )
= $false )
| ( ( ~ ( q @ SV2 ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV2: mworld] :
( ( ( q @ SV2 )
= $false )
| ( ( p @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(35,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[28,34,32,29]) ).
thf(36,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYO896^7 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n018.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 07:39:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 0
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 1246
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.34 (rf:0,axioms:0,ps:3,u:6,ude:false,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).
% 0.13/0.37
% 0.13/0.37 ********************************
% 0.13/0.37 * All subproblems solved! *
% 0.13/0.37 ********************************
% 0.13/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:false,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:35,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.37
% 0.13/0.37 %**** Beginning of derivation protocol ****
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
% 0.13/0.37
% 0.13/0.37 %**** End of derivation protocol ****
% 0.13/0.37 %**** no. of clauses in derivation: 36 ****
% 0.13/0.37 %**** clause counter: 35 ****
% 0.13/0.37
% 0.13/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:false,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:35,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------