TSTP Solution File: NLP267^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NLP265^5 : 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 : 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 : Mon Jul 18 03:05:30 EDT 2022
% Result : Theorem 0.11s 0.35s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 37
% Syntax : Number of formulae : 111 ( 45 unt; 20 typ; 8 def)
% Number of atoms : 564 ( 146 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 766 ( 145 ~; 126 |; 3 &; 488 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 51 ( 51 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 102 ( 19 ^ 82 !; 1 ?; 102 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_class,type,
class: $i > mworld > $o ).
thf(tp_dest,type,
dest: $i > mworld > $o ).
thf(tp_first,type,
first: $i ).
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_ninetyfive,type,
ninetyfive: $i ).
thf(tp_paris,type,
paris: $i ).
thf(tp_price,type,
price: $i > mworld > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: mworld ).
thf(tp_second,type,
second: $i ).
thf(tp_seventy,type,
seventy: $i ).
thf(mand,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(1,axiom,
mlocal @ ( mbox @ ( class @ second ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',belief2) ).
thf(2,axiom,
mlocal @ ( mbox @ ( dest @ paris ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',belief1) ).
thf(3,axiom,
mlocal @ ( mbox @ ( mnot @ ( mand @ ( price @ ninetyfive ) @ ( price @ seventy ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',law4) ).
thf(4,axiom,
mlocal @ ( mbox @ ( mnot @ ( mand @ ( class @ first ) @ ( class @ second ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',law3) ).
thf(5,axiom,
mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',law2) ).
thf(6,axiom,
mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ first ) ) @ ( price @ ninetyfive ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',law1) ).
thf(7,axiom,
! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ U )
& ( mrel @ W @ V ) )
=> ( mrel @ U @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_euclidean) ).
thf(8,axiom,
! [W: mworld] : ( mrel @ W @ W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(9,conjecture,
mlocal @ ( mbox @ ( price @ seventy ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(10,negated_conjecture,
( ( mlocal @ ( mbox @ ( price @ seventy ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,plain,
( ( ~ ( mlocal @ ( mbox @ ( price @ seventy ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ~ ( mrel @ W @ U )
| ~ ( mrel @ W @ V )
| ( mrel @ U @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(13,plain,
( ( ! [W: mworld] : ( mrel @ W @ W ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(14,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ~ ( mrel @ W @ U )
| ~ ( mrel @ W @ V )
| ( mrel @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(15,plain,
( ( mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ first ) ) @ ( price @ ninetyfive ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(16,plain,
( ( mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(17,plain,
( ( mlocal @ ( mbox @ ( mnot @ ( mand @ ( class @ first ) @ ( class @ second ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(18,plain,
( ( mlocal @ ( mbox @ ( mnot @ ( mand @ ( price @ ninetyfive ) @ ( price @ seventy ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(19,plain,
( ( mlocal @ ( mbox @ ( dest @ paris ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(20,plain,
( ( mlocal @ ( mbox @ ( class @ second ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(21,plain,
( ( ~ ( mlocal @ ( mbox @ ( price @ seventy ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(22,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( class @ second @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(23,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ( dest @ paris @ SX0 )
| ~ ( class @ first @ SX0 ) )
| ( price @ ninetyfive @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(24,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( price @ seventy @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(25,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ( dest @ paris @ SX0 )
| ~ ( class @ second @ SX0 ) )
| ( price @ seventy @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(26,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ( class @ first @ SX0 )
| ~ ( class @ second @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(27,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( dest @ paris @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(28,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ( ~ ( price @ ninetyfive @ SX0 )
| ~ ( price @ seventy @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(29,plain,
! [SV1: mworld] :
( ( mrel @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(30,plain,
! [SV2: mworld] :
( ( ! [SY0: mworld,SY1: mworld] :
( ~ ( mrel @ SV2 @ SY1 )
| ~ ( mrel @ SV2 @ SY0 )
| ( mrel @ SY1 @ SY0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(31,plain,
! [SV3: mworld] :
( ( ~ ( mrel @ mactual @ SV3 )
| ( class @ second @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(32,plain,
! [SV4: mworld] :
( ( ~ ( mrel @ mactual @ SV4 )
| ~ ~ ( ~ ( dest @ paris @ SV4 )
| ~ ( class @ first @ SV4 ) )
| ( price @ ninetyfive @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(33,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( price @ seventy @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(34,plain,
! [SV5: mworld] :
( ( ~ ( mrel @ mactual @ SV5 )
| ~ ~ ( ~ ( dest @ paris @ SV5 )
| ~ ( class @ second @ SV5 ) )
| ( price @ seventy @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(35,plain,
! [SV6: mworld] :
( ( ~ ( mrel @ mactual @ SV6 )
| ~ ~ ( ~ ( class @ first @ SV6 )
| ~ ( class @ second @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(36,plain,
! [SV7: mworld] :
( ( ~ ( mrel @ mactual @ SV7 )
| ( dest @ paris @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(37,plain,
! [SV8: mworld] :
( ( ~ ( mrel @ mactual @ SV8 )
| ~ ~ ( ~ ( price @ ninetyfive @ SV8 )
| ~ ( price @ seventy @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(38,plain,
! [SV9: mworld,SV2: mworld] :
( ( ! [SY2: mworld] :
( ~ ( mrel @ SV2 @ SY2 )
| ~ ( mrel @ SV2 @ SV9 )
| ( mrel @ SY2 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(39,plain,
! [SV3: mworld] :
( ( ( ~ ( mrel @ mactual @ SV3 ) )
= $true )
| ( ( class @ second @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(40,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ mactual @ SV4 ) )
= $true )
| ( ( ~ ~ ( ~ ( dest @ paris @ SV4 )
| ~ ( class @ first @ SV4 ) )
| ( price @ ninetyfive @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(41,plain,
( ( ~ ( mrel @ mactual @ sK1_SX0 )
| ( price @ seventy @ sK1_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[33]) ).
thf(42,plain,
! [SV5: mworld] :
( ( ( ~ ( mrel @ mactual @ SV5 ) )
= $true )
| ( ( ~ ~ ( ~ ( dest @ paris @ SV5 )
| ~ ( class @ second @ SV5 ) )
| ( price @ seventy @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(43,plain,
! [SV6: mworld] :
( ( ( ~ ( mrel @ mactual @ SV6 ) )
= $true )
| ( ( ~ ~ ( ~ ( class @ first @ SV6 )
| ~ ( class @ second @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(44,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ SV7 ) )
= $true )
| ( ( dest @ paris @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(45,plain,
! [SV8: mworld] :
( ( ( ~ ( mrel @ mactual @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( price @ ninetyfive @ SV8 )
| ~ ( price @ seventy @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(46,plain,
! [SV9: mworld,SV10: mworld,SV2: mworld] :
( ( ~ ( mrel @ SV2 @ SV10 )
| ~ ( mrel @ SV2 @ SV9 )
| ( mrel @ SV10 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(47,plain,
! [SV3: mworld] :
( ( ( mrel @ mactual @ SV3 )
= $false )
| ( ( class @ second @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(48,plain,
! [SV4: mworld] :
( ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( ~ ~ ( ~ ( dest @ paris @ SV4 )
| ~ ( class @ first @ SV4 ) )
| ( price @ ninetyfive @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(49,plain,
( ( ~ ( mrel @ mactual @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(50,plain,
( ( price @ seventy @ sK1_SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(51,plain,
! [SV5: mworld] :
( ( ( mrel @ mactual @ SV5 )
= $false )
| ( ( ~ ~ ( ~ ( dest @ paris @ SV5 )
| ~ ( class @ second @ SV5 ) )
| ( price @ seventy @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(52,plain,
! [SV6: mworld] :
( ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( ~ ~ ( ~ ( class @ first @ SV6 )
| ~ ( class @ second @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(53,plain,
! [SV7: mworld] :
( ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( dest @ paris @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(54,plain,
! [SV8: mworld] :
( ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( ~ ~ ( ~ ( price @ ninetyfive @ SV8 )
| ~ ( price @ seventy @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(55,plain,
! [SV9: mworld,SV10: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV10 )
| ~ ( mrel @ SV2 @ SV9 ) )
= $true )
| ( ( mrel @ SV10 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(56,plain,
! [SV4: mworld] :
( ( ( ~ ~ ( ~ ( dest @ paris @ SV4 )
| ~ ( class @ first @ SV4 ) ) )
= $true )
| ( ( price @ ninetyfive @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(57,plain,
( ( mrel @ mactual @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(58,plain,
! [SV5: mworld] :
( ( ( ~ ~ ( ~ ( dest @ paris @ SV5 )
| ~ ( class @ second @ SV5 ) ) )
= $true )
| ( ( price @ seventy @ SV5 )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(59,plain,
! [SV6: mworld] :
( ( ( ~ ( ~ ( class @ first @ SV6 )
| ~ ( class @ second @ SV6 ) ) )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(60,plain,
! [SV8: mworld] :
( ( ( ~ ( ~ ( price @ ninetyfive @ SV8 )
| ~ ( price @ seventy @ SV8 ) ) )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV9: mworld,SV10: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV10 ) )
= $true )
| ( ( ~ ( mrel @ SV2 @ SV9 ) )
= $true )
| ( ( mrel @ SV10 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(62,plain,
! [SV4: mworld] :
( ( ( ~ ( ~ ( dest @ paris @ SV4 )
| ~ ( class @ first @ SV4 ) ) )
= $false )
| ( ( price @ ninetyfive @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV5: mworld] :
( ( ( ~ ( ~ ( dest @ paris @ SV5 )
| ~ ( class @ second @ SV5 ) ) )
= $false )
| ( ( price @ seventy @ SV5 )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(64,plain,
! [SV6: mworld] :
( ( ( ~ ( class @ first @ SV6 )
| ~ ( class @ second @ SV6 ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(65,plain,
! [SV8: mworld] :
( ( ( ~ ( price @ ninetyfive @ SV8 )
| ~ ( price @ seventy @ SV8 ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(66,plain,
! [SV9: mworld,SV10: mworld,SV2: mworld] :
( ( ( mrel @ SV2 @ SV10 )
= $false )
| ( ( ~ ( mrel @ SV2 @ SV9 ) )
= $true )
| ( ( mrel @ SV10 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV4: mworld] :
( ( ( ~ ( dest @ paris @ SV4 )
| ~ ( class @ first @ SV4 ) )
= $true )
| ( ( price @ ninetyfive @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(68,plain,
! [SV5: mworld] :
( ( ( ~ ( dest @ paris @ SV5 )
| ~ ( class @ second @ SV5 ) )
= $true )
| ( ( price @ seventy @ SV5 )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(69,plain,
! [SV6: mworld] :
( ( ( ~ ( class @ first @ SV6 ) )
= $true )
| ( ( ~ ( class @ second @ SV6 ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV8: mworld] :
( ( ( ~ ( price @ ninetyfive @ SV8 ) )
= $true )
| ( ( ~ ( price @ seventy @ SV8 ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV10: mworld,SV9: mworld,SV2: mworld] :
( ( ( mrel @ SV2 @ SV9 )
= $false )
| ( ( mrel @ SV2 @ SV10 )
= $false )
| ( ( mrel @ SV10 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV4: mworld] :
( ( ( ~ ( dest @ paris @ SV4 ) )
= $true )
| ( ( ~ ( class @ first @ SV4 ) )
= $true )
| ( ( price @ ninetyfive @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(73,plain,
! [SV5: mworld] :
( ( ( ~ ( dest @ paris @ SV5 ) )
= $true )
| ( ( ~ ( class @ second @ SV5 ) )
= $true )
| ( ( price @ seventy @ SV5 )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(74,plain,
! [SV6: mworld] :
( ( ( class @ first @ SV6 )
= $false )
| ( ( ~ ( class @ second @ SV6 ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV8: mworld] :
( ( ( price @ ninetyfive @ SV8 )
= $false )
| ( ( ~ ( price @ seventy @ SV8 ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(76,plain,
! [SV4: mworld] :
( ( ( dest @ paris @ SV4 )
= $false )
| ( ( ~ ( class @ first @ SV4 ) )
= $true )
| ( ( price @ ninetyfive @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(77,plain,
! [SV5: mworld] :
( ( ( dest @ paris @ SV5 )
= $false )
| ( ( ~ ( class @ second @ SV5 ) )
= $true )
| ( ( price @ seventy @ SV5 )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(78,plain,
! [SV6: mworld] :
( ( ( class @ second @ SV6 )
= $false )
| ( ( class @ first @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(79,plain,
! [SV8: mworld] :
( ( ( price @ seventy @ SV8 )
= $false )
| ( ( price @ ninetyfive @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(80,plain,
! [SV4: mworld] :
( ( ( class @ first @ SV4 )
= $false )
| ( ( dest @ paris @ SV4 )
= $false )
| ( ( price @ ninetyfive @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(81,plain,
! [SV5: mworld] :
( ( ( class @ second @ SV5 )
= $false )
| ( ( dest @ paris @ SV5 )
= $false )
| ( ( price @ seventy @ SV5 )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(82,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[29,81,80,79,78,71,57,53,50,47]) ).
thf(83,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NLP265^5 : TPTP v8.1.0. Released v8.1.0.
% 0.05/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Fri Jul 1 11:51:22 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.32
% 0.11/0.32 No.of.Axioms: 8
% 0.11/0.32
% 0.11/0.32 Length.of.Defs: 1238
% 0.11/0.32
% 0.11/0.32 Contains.Choice.Funs: false
% 0.11/0.32 (rf:0,axioms:8,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:10,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.11/0.35
% 0.11/0.35 ********************************
% 0.11/0.35 * All subproblems solved! *
% 0.11/0.35 ********************************
% 0.11/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,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:82,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.11/0.35
% 0.11/0.35 %**** Beginning of derivation protocol ****
% 0.11/0.35 % SZS output start CNFRefutation
% See solution above
% 0.11/0.35
% 0.11/0.35 %**** End of derivation protocol ****
% 0.11/0.35 %**** no. of clauses in derivation: 83 ****
% 0.11/0.35 %**** clause counter: 82 ****
% 0.11/0.35
% 0.11/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,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:82,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------