TSTP Solution File: CSR045+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR045+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.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 : 300s
% DateTime : Tue Sep 20 14:27:31 EDT 2022
% Result : Theorem 0.21s 0.41s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 79
% Syntax : Number of formulae : 153 ( 40 unt; 14 typ; 0 def)
% Number of atoms : 693 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 935 ( 425 ~; 358 |; 60 &)
% ( 77 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 44 ( 44 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 326 ( 294 !; 0 ?; 326 :)
% Comments :
%------------------------------------------------------------------------------
tff(genls_type,type,
genls: ( $i * $i ) > $o ).
tff(c_individual_type,type,
c_individual: $i ).
tff(c_applicationcontext_type,type,
c_applicationcontext: $i ).
tff(c_intangibleindividual_type,type,
c_intangibleindividual: $i ).
tff(c_microtheory_type,type,
c_microtheory: $i ).
tff(c_aspatialinformationstore_type,type,
c_aspatialinformationstore: $i ).
tff(c_partiallyintangibleindividual_type,type,
c_partiallyintangibleindividual: $i ).
tff(isa_type,type,
isa: ( $i * $i ) > $o ).
tff(c_wamt_evalinitial_p14_type,type,
c_wamt_evalinitial_p14: $i ).
tff(c_collection_type,type,
c_collection: $i ).
tff(collection_type,type,
collection: $i > $o ).
tff(c_tptpcol_15_80088_type,type,
c_tptpcol_15_80088: $i ).
tff(disjointwith_type,type,
disjointwith: ( $i * $i ) > $o ).
tff(applicationcontext_type,type,
applicationcontext: $i > $o ).
tff(1,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
rewrite(
( ~ ~ ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD)
| genls(ARG1,NEW) ) )),
rewrite(
( ( ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD)
| genls(ARG1,NEW) )
<=> ( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
( ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) )),
inference(bind,[status(th)],]) ).
tff(3,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ) ),
inference(quant_intro,[status(thm)],[2]) ).
tff(4,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) ),
inference(rewrite,[status(thm)],]) ).
tff(5,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
rewrite(
( ( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) )
<=> ( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) )),
inference(bind,[status(th)],]) ).
tff(6,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ) ),
inference(quant_intro,[status(thm)],[5]) ).
tff(7,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just76) ).
tff(8,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[8,4]) ).
tff(10,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(skolemize,[status(sab)],[9]) ).
tff(11,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[10,3]) ).
tff(12,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[11,1]) ).
tff(13,plain,
( genls(c_aspatialinformationstore,c_intangibleindividual)
<=> genls(c_aspatialinformationstore,c_intangibleindividual) ),
inference(rewrite,[status(thm)],]) ).
tff(14,axiom,
genls(c_aspatialinformationstore,c_intangibleindividual),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
tff(15,plain,
genls(c_aspatialinformationstore,c_intangibleindividual),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( genls(c_microtheory,c_aspatialinformationstore)
<=> genls(c_microtheory,c_aspatialinformationstore) ),
inference(rewrite,[status(thm)],]) ).
tff(17,axiom,
genls(c_microtheory,c_aspatialinformationstore),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
tff(18,plain,
genls(c_microtheory,c_aspatialinformationstore),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_microtheory,c_intangibleindividual)
| ~ genls(c_aspatialinformationstore,c_intangibleindividual)
| ~ genls(c_microtheory,c_aspatialinformationstore) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_microtheory,c_intangibleindividual)
| ~ genls(c_aspatialinformationstore,c_intangibleindividual)
| ~ genls(c_microtheory,c_aspatialinformationstore) ) ),
inference(rewrite,[status(thm)],]) ).
tff(20,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_microtheory,c_intangibleindividual)
| ~ genls(c_aspatialinformationstore,c_intangibleindividual)
| ~ genls(c_microtheory,c_aspatialinformationstore) ),
inference(quant_inst,[status(thm)],]) ).
tff(21,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_microtheory,c_intangibleindividual)
| ~ genls(c_aspatialinformationstore,c_intangibleindividual)
| ~ genls(c_microtheory,c_aspatialinformationstore) ),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
genls(c_microtheory,c_intangibleindividual),
inference(unit_resolution,[status(thm)],[21,18,15,12]) ).
tff(23,plain,
( genls(c_applicationcontext,c_microtheory)
<=> genls(c_applicationcontext,c_microtheory) ),
inference(rewrite,[status(thm)],]) ).
tff(24,axiom,
genls(c_applicationcontext,c_microtheory),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
tff(25,plain,
genls(c_applicationcontext,c_microtheory),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_applicationcontext,c_microtheory)
| genls(c_applicationcontext,c_intangibleindividual)
| ~ genls(c_microtheory,c_intangibleindividual) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_applicationcontext,c_microtheory)
| genls(c_applicationcontext,c_intangibleindividual)
| ~ genls(c_microtheory,c_intangibleindividual) ) ),
inference(rewrite,[status(thm)],]) ).
tff(27,plain,
( ( genls(c_applicationcontext,c_intangibleindividual)
| ~ genls(c_microtheory,c_intangibleindividual)
| ~ genls(c_applicationcontext,c_microtheory) )
<=> ( ~ genls(c_applicationcontext,c_microtheory)
| genls(c_applicationcontext,c_intangibleindividual)
| ~ genls(c_microtheory,c_intangibleindividual) ) ),
inference(rewrite,[status(thm)],]) ).
tff(28,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_applicationcontext,c_intangibleindividual)
| ~ genls(c_microtheory,c_intangibleindividual)
| ~ genls(c_applicationcontext,c_microtheory) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_applicationcontext,c_microtheory)
| genls(c_applicationcontext,c_intangibleindividual)
| ~ genls(c_microtheory,c_intangibleindividual) ) ),
inference(monotonicity,[status(thm)],[27]) ).
tff(29,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_applicationcontext,c_intangibleindividual)
| ~ genls(c_microtheory,c_intangibleindividual)
| ~ genls(c_applicationcontext,c_microtheory) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_applicationcontext,c_microtheory)
| genls(c_applicationcontext,c_intangibleindividual)
| ~ genls(c_microtheory,c_intangibleindividual) ) ),
inference(transitivity,[status(thm)],[28,26]) ).
tff(30,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_applicationcontext,c_intangibleindividual)
| ~ genls(c_microtheory,c_intangibleindividual)
| ~ genls(c_applicationcontext,c_microtheory) ),
inference(quant_inst,[status(thm)],]) ).
tff(31,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_applicationcontext,c_microtheory)
| genls(c_applicationcontext,c_intangibleindividual)
| ~ genls(c_microtheory,c_intangibleindividual) ),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
genls(c_applicationcontext,c_intangibleindividual),
inference(unit_resolution,[status(thm)],[31,25,12,22]) ).
tff(33,plain,
( genls(c_partiallyintangibleindividual,c_individual)
<=> genls(c_partiallyintangibleindividual,c_individual) ),
inference(rewrite,[status(thm)],]) ).
tff(34,axiom,
genls(c_partiallyintangibleindividual,c_individual),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
tff(35,plain,
genls(c_partiallyintangibleindividual,c_individual),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
( genls(c_intangibleindividual,c_partiallyintangibleindividual)
<=> genls(c_intangibleindividual,c_partiallyintangibleindividual) ),
inference(rewrite,[status(thm)],]) ).
tff(37,axiom,
genls(c_intangibleindividual,c_partiallyintangibleindividual),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).
tff(38,plain,
genls(c_intangibleindividual,c_partiallyintangibleindividual),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_intangibleindividual,c_individual)
| ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_intangibleindividual,c_partiallyintangibleindividual) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_intangibleindividual,c_individual)
| ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_intangibleindividual,c_partiallyintangibleindividual) ) ),
inference(rewrite,[status(thm)],]) ).
tff(40,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_intangibleindividual,c_individual)
| ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_intangibleindividual,c_partiallyintangibleindividual) ),
inference(quant_inst,[status(thm)],]) ).
tff(41,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_intangibleindividual,c_individual)
| ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_intangibleindividual,c_partiallyintangibleindividual) ),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
genls(c_intangibleindividual,c_individual),
inference(unit_resolution,[status(thm)],[41,38,35,12]) ).
tff(43,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_intangibleindividual,c_individual)
| genls(c_applicationcontext,c_individual)
| ~ genls(c_applicationcontext,c_intangibleindividual) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_intangibleindividual,c_individual)
| genls(c_applicationcontext,c_individual)
| ~ genls(c_applicationcontext,c_intangibleindividual) ) ),
inference(rewrite,[status(thm)],]) ).
tff(44,plain,
( ( genls(c_applicationcontext,c_individual)
| ~ genls(c_intangibleindividual,c_individual)
| ~ genls(c_applicationcontext,c_intangibleindividual) )
<=> ( ~ genls(c_intangibleindividual,c_individual)
| genls(c_applicationcontext,c_individual)
| ~ genls(c_applicationcontext,c_intangibleindividual) ) ),
inference(rewrite,[status(thm)],]) ).
tff(45,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_applicationcontext,c_individual)
| ~ genls(c_intangibleindividual,c_individual)
| ~ genls(c_applicationcontext,c_intangibleindividual) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_intangibleindividual,c_individual)
| genls(c_applicationcontext,c_individual)
| ~ genls(c_applicationcontext,c_intangibleindividual) ) ),
inference(monotonicity,[status(thm)],[44]) ).
tff(46,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_applicationcontext,c_individual)
| ~ genls(c_intangibleindividual,c_individual)
| ~ genls(c_applicationcontext,c_intangibleindividual) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_intangibleindividual,c_individual)
| genls(c_applicationcontext,c_individual)
| ~ genls(c_applicationcontext,c_intangibleindividual) ) ),
inference(transitivity,[status(thm)],[45,43]) ).
tff(47,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_applicationcontext,c_individual)
| ~ genls(c_intangibleindividual,c_individual)
| ~ genls(c_applicationcontext,c_intangibleindividual) ),
inference(quant_inst,[status(thm)],]) ).
tff(48,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_intangibleindividual,c_individual)
| genls(c_applicationcontext,c_individual)
| ~ genls(c_applicationcontext,c_intangibleindividual) ),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
genls(c_applicationcontext,c_individual),
inference(unit_resolution,[status(thm)],[48,12,42,32]) ).
tff(50,plain,
( genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088)
<=> genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088) ),
inference(rewrite,[status(thm)],]) ).
tff(51,plain,
( ~ ~ genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088)
<=> genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088) ),
inference(rewrite,[status(thm)],]) ).
tff(52,axiom,
~ ~ genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query45) ).
tff(53,plain,
genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088),
inference(modus_ponens,[status(thm)],[52,51]) ).
tff(54,plain,
genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088),
inference(modus_ponens,[status(thm)],[53,50]) ).
tff(55,plain,
^ [INS: $i,ARG2: $i] :
refl(
( ( collection(INS)
| ~ genls(INS,ARG2) )
<=> ( collection(INS)
| ~ genls(INS,ARG2) ) )),
inference(bind,[status(th)],]) ).
tff(56,plain,
( ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) )
<=> ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ) ),
inference(quant_intro,[status(thm)],[55]) ).
tff(57,plain,
( ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) )
<=> ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(58,plain,
^ [INS: $i,ARG2: $i] :
rewrite(
( ( genls(INS,ARG2)
=> collection(INS) )
<=> ( collection(INS)
| ~ genls(INS,ARG2) ) )),
inference(bind,[status(th)],]) ).
tff(59,plain,
( ! [INS: $i,ARG2: $i] :
( genls(INS,ARG2)
=> collection(INS) )
<=> ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ) ),
inference(quant_intro,[status(thm)],[58]) ).
tff(60,axiom,
! [INS: $i,ARG2: $i] :
( genls(INS,ARG2)
=> collection(INS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just70) ).
tff(61,plain,
! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ),
inference(modus_ponens,[status(thm)],[61,57]) ).
tff(63,plain,
! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ),
inference(skolemize,[status(sab)],[62]) ).
tff(64,plain,
! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ),
inference(modus_ponens,[status(thm)],[63,56]) ).
tff(65,plain,
( ( ~ ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) )
| collection(c_wamt_evalinitial_p14)
| ~ genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088) )
<=> ( ~ ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) )
| collection(c_wamt_evalinitial_p14)
| ~ genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088) ) ),
inference(rewrite,[status(thm)],]) ).
tff(66,plain,
( ~ ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) )
| collection(c_wamt_evalinitial_p14)
| ~ genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088) ),
inference(quant_inst,[status(thm)],]) ).
tff(67,plain,
( ~ ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) )
| collection(c_wamt_evalinitial_p14)
| ~ genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088) ),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
collection(c_wamt_evalinitial_p14),
inference(unit_resolution,[status(thm)],[67,64,54]) ).
tff(69,plain,
^ [X: $i] :
refl(
( ( ~ collection(X)
| isa(X,c_collection) )
<=> ( ~ collection(X)
| isa(X,c_collection) ) )),
inference(bind,[status(th)],]) ).
tff(70,plain,
( ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
<=> ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ) ),
inference(quant_intro,[status(thm)],[69]) ).
tff(71,plain,
( ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
<=> ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ) ),
inference(rewrite,[status(thm)],]) ).
tff(72,plain,
^ [X: $i] :
rewrite(
( ( collection(X)
=> isa(X,c_collection) )
<=> ( ~ collection(X)
| isa(X,c_collection) ) )),
inference(bind,[status(th)],]) ).
tff(73,plain,
( ! [X: $i] :
( collection(X)
=> isa(X,c_collection) )
<=> ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ) ),
inference(quant_intro,[status(thm)],[72]) ).
tff(74,axiom,
! [X: $i] :
( collection(X)
=> isa(X,c_collection) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just40) ).
tff(75,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(modus_ponens,[status(thm)],[74,73]) ).
tff(76,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(modus_ponens,[status(thm)],[75,71]) ).
tff(77,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(skolemize,[status(sab)],[76]) ).
tff(78,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(modus_ponens,[status(thm)],[77,70]) ).
tff(79,plain,
( ( ~ ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
| ~ collection(c_wamt_evalinitial_p14)
| isa(c_wamt_evalinitial_p14,c_collection) )
<=> ( ~ ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
| ~ collection(c_wamt_evalinitial_p14)
| isa(c_wamt_evalinitial_p14,c_collection) ) ),
inference(rewrite,[status(thm)],]) ).
tff(80,plain,
( ~ ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
| ~ collection(c_wamt_evalinitial_p14)
| isa(c_wamt_evalinitial_p14,c_collection) ),
inference(quant_inst,[status(thm)],]) ).
tff(81,plain,
( ~ ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
| ~ collection(c_wamt_evalinitial_p14)
| isa(c_wamt_evalinitial_p14,c_collection) ),
inference(modus_ponens,[status(thm)],[80,79]) ).
tff(82,plain,
isa(c_wamt_evalinitial_p14,c_collection),
inference(unit_resolution,[status(thm)],[81,78,68]) ).
tff(83,plain,
^ [OBJ: $i,COL1: $i,COL2: $i] :
refl(
( ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
<=> ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) )),
inference(bind,[status(th)],]) ).
tff(84,plain,
( ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
<=> ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) ),
inference(quant_intro,[status(thm)],[83]) ).
tff(85,plain,
^ [OBJ: $i,COL1: $i,COL2: $i] :
trans(
monotonicity(
rewrite(
( ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ~ ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) )),
( ~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ~ ~ ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) )),
rewrite(
( ~ ~ ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
<=> ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) )),
( ~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) )),
inference(bind,[status(th)],]) ).
tff(86,plain,
( ! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ) ),
inference(quant_intro,[status(thm)],[85]) ).
tff(87,plain,
( ! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(88,plain,
^ [OBJ: $i,COL1: $i,COL2: $i] :
rewrite(
( ~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ) )),
inference(bind,[status(th)],]) ).
tff(89,plain,
( ! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) )
<=> ! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ) ),
inference(quant_intro,[status(thm)],[88]) ).
tff(90,axiom,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).
tff(91,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
inference(modus_ponens,[status(thm)],[90,89]) ).
tff(92,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
inference(modus_ponens,[status(thm)],[91,87]) ).
tff(93,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
inference(skolemize,[status(sab)],[92]) ).
tff(94,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ),
inference(modus_ponens,[status(thm)],[93,86]) ).
tff(95,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ),
inference(modus_ponens,[status(thm)],[94,84]) ).
tff(96,plain,
( disjointwith(c_collection,c_individual)
<=> disjointwith(c_collection,c_individual) ),
inference(rewrite,[status(thm)],]) ).
tff(97,axiom,
disjointwith(c_collection,c_individual),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).
tff(98,plain,
disjointwith(c_collection,c_individual),
inference(modus_ponens,[status(thm)],[97,96]) ).
tff(99,plain,
( ( ~ ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
| ~ disjointwith(c_collection,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_collection)
| ~ isa(c_wamt_evalinitial_p14,c_individual) )
<=> ( ~ ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
| ~ disjointwith(c_collection,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_collection)
| ~ isa(c_wamt_evalinitial_p14,c_individual) ) ),
inference(rewrite,[status(thm)],]) ).
tff(100,plain,
( ~ ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
| ~ disjointwith(c_collection,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_collection)
| ~ isa(c_wamt_evalinitial_p14,c_individual) ),
inference(quant_inst,[status(thm)],]) ).
tff(101,plain,
( ~ ! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) )
| ~ disjointwith(c_collection,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_collection)
| ~ isa(c_wamt_evalinitial_p14,c_individual) ),
inference(modus_ponens,[status(thm)],[100,99]) ).
tff(102,plain,
~ isa(c_wamt_evalinitial_p14,c_individual),
inference(unit_resolution,[status(thm)],[101,98,95,82]) ).
tff(103,plain,
^ [X: $i] :
refl(
( ( ~ applicationcontext(X)
| isa(X,c_applicationcontext) )
<=> ( ~ applicationcontext(X)
| isa(X,c_applicationcontext) ) )),
inference(bind,[status(th)],]) ).
tff(104,plain,
( ! [X: $i] :
( ~ applicationcontext(X)
| isa(X,c_applicationcontext) )
<=> ! [X: $i] :
( ~ applicationcontext(X)
| isa(X,c_applicationcontext) ) ),
inference(quant_intro,[status(thm)],[103]) ).
tff(105,plain,
( ! [X: $i] :
( ~ applicationcontext(X)
| isa(X,c_applicationcontext) )
<=> ! [X: $i] :
( ~ applicationcontext(X)
| isa(X,c_applicationcontext) ) ),
inference(rewrite,[status(thm)],]) ).
tff(106,plain,
^ [X: $i] :
rewrite(
( ( applicationcontext(X)
=> isa(X,c_applicationcontext) )
<=> ( ~ applicationcontext(X)
| isa(X,c_applicationcontext) ) )),
inference(bind,[status(th)],]) ).
tff(107,plain,
( ! [X: $i] :
( applicationcontext(X)
=> isa(X,c_applicationcontext) )
<=> ! [X: $i] :
( ~ applicationcontext(X)
| isa(X,c_applicationcontext) ) ),
inference(quant_intro,[status(thm)],[106]) ).
tff(108,axiom,
! [X: $i] :
( applicationcontext(X)
=> isa(X,c_applicationcontext) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just78) ).
tff(109,plain,
! [X: $i] :
( ~ applicationcontext(X)
| isa(X,c_applicationcontext) ),
inference(modus_ponens,[status(thm)],[108,107]) ).
tff(110,plain,
! [X: $i] :
( ~ applicationcontext(X)
| isa(X,c_applicationcontext) ),
inference(modus_ponens,[status(thm)],[109,105]) ).
tff(111,plain,
! [X: $i] :
( ~ applicationcontext(X)
| isa(X,c_applicationcontext) ),
inference(skolemize,[status(sab)],[110]) ).
tff(112,plain,
! [X: $i] :
( ~ applicationcontext(X)
| isa(X,c_applicationcontext) ),
inference(modus_ponens,[status(thm)],[111,104]) ).
tff(113,plain,
( applicationcontext(c_wamt_evalinitial_p14)
<=> applicationcontext(c_wamt_evalinitial_p14) ),
inference(rewrite,[status(thm)],]) ).
tff(114,axiom,
applicationcontext(c_wamt_evalinitial_p14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
tff(115,plain,
applicationcontext(c_wamt_evalinitial_p14),
inference(modus_ponens,[status(thm)],[114,113]) ).
tff(116,plain,
( ( ~ ! [X: $i] :
( ~ applicationcontext(X)
| isa(X,c_applicationcontext) )
| ~ applicationcontext(c_wamt_evalinitial_p14)
| isa(c_wamt_evalinitial_p14,c_applicationcontext) )
<=> ( ~ ! [X: $i] :
( ~ applicationcontext(X)
| isa(X,c_applicationcontext) )
| ~ applicationcontext(c_wamt_evalinitial_p14)
| isa(c_wamt_evalinitial_p14,c_applicationcontext) ) ),
inference(rewrite,[status(thm)],]) ).
tff(117,plain,
( ~ ! [X: $i] :
( ~ applicationcontext(X)
| isa(X,c_applicationcontext) )
| ~ applicationcontext(c_wamt_evalinitial_p14)
| isa(c_wamt_evalinitial_p14,c_applicationcontext) ),
inference(quant_inst,[status(thm)],]) ).
tff(118,plain,
( ~ ! [X: $i] :
( ~ applicationcontext(X)
| isa(X,c_applicationcontext) )
| ~ applicationcontext(c_wamt_evalinitial_p14)
| isa(c_wamt_evalinitial_p14,c_applicationcontext) ),
inference(modus_ponens,[status(thm)],[117,116]) ).
tff(119,plain,
isa(c_wamt_evalinitial_p14,c_applicationcontext),
inference(unit_resolution,[status(thm)],[118,115,112]) ).
tff(120,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
refl(
( ( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
<=> ( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
inference(bind,[status(th)],]) ).
tff(121,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) ),
inference(quant_intro,[status(thm)],[120]) ).
tff(122,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( isa(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
<=> ~ ~ ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
rewrite(
( ~ ~ ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
<=> ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
( ( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) )
<=> ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD)
| isa(ARG1,NEW) ) )),
rewrite(
( ( ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD)
| isa(ARG1,NEW) )
<=> ( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
( ( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) )
<=> ( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) )),
inference(bind,[status(th)],]) ).
tff(123,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ) ),
inference(quant_intro,[status(thm)],[122]) ).
tff(124,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ) ),
inference(rewrite,[status(thm)],]) ).
tff(125,plain,
^ [ARG1: $i,OLD: $i,NEW: $i] :
rewrite(
( ( ( isa(ARG1,OLD)
& genls(OLD,NEW) )
=> isa(ARG1,NEW) )
<=> ( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ) )),
inference(bind,[status(th)],]) ).
tff(126,plain,
( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( isa(ARG1,OLD)
& genls(OLD,NEW) )
=> isa(ARG1,NEW) )
<=> ! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ) ),
inference(quant_intro,[status(thm)],[125]) ).
tff(127,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( isa(ARG1,OLD)
& genls(OLD,NEW) )
=> isa(ARG1,NEW) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just83) ).
tff(128,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[127,126]) ).
tff(129,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[128,124]) ).
tff(130,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ),
inference(skolemize,[status(sab)],[129]) ).
tff(131,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[130,123]) ).
tff(132,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[131,121]) ).
tff(133,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| ~ isa(c_wamt_evalinitial_p14,c_applicationcontext)
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ genls(c_applicationcontext,c_individual) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| ~ isa(c_wamt_evalinitial_p14,c_applicationcontext)
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ genls(c_applicationcontext,c_individual) ) ),
inference(rewrite,[status(thm)],]) ).
tff(134,plain,
( ( isa(c_wamt_evalinitial_p14,c_individual)
| ~ genls(c_applicationcontext,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_applicationcontext) )
<=> ( ~ isa(c_wamt_evalinitial_p14,c_applicationcontext)
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ genls(c_applicationcontext,c_individual) ) ),
inference(rewrite,[status(thm)],]) ).
tff(135,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ genls(c_applicationcontext,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_applicationcontext) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| ~ isa(c_wamt_evalinitial_p14,c_applicationcontext)
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ genls(c_applicationcontext,c_individual) ) ),
inference(monotonicity,[status(thm)],[134]) ).
tff(136,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ genls(c_applicationcontext,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_applicationcontext) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| ~ isa(c_wamt_evalinitial_p14,c_applicationcontext)
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ genls(c_applicationcontext,c_individual) ) ),
inference(transitivity,[status(thm)],[135,133]) ).
tff(137,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ genls(c_applicationcontext,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_applicationcontext) ),
inference(quant_inst,[status(thm)],]) ).
tff(138,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| ~ isa(c_wamt_evalinitial_p14,c_applicationcontext)
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ genls(c_applicationcontext,c_individual) ),
inference(modus_ponens,[status(thm)],[137,136]) ).
tff(139,plain,
$false,
inference(unit_resolution,[status(thm)],[138,132,119,102,49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CSR045+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n019.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:21:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.21/0.41 % SZS status Theorem
% 0.21/0.41 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------