%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR045+3 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 : Sat Jun 21 05:01:29 AM UTC 2025
% Result : Theorem 11.24s 11.44s
% Output : Proof 11.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 69
% Syntax : Number of formulae : 153 ( 40 unt; 0 typ; 0 def)
% Number of atoms : 733 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 965 ( 433 ~; 366 |; 60 &)
% ( 85 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 48 ( 48 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 336 ( 300 !; 0 ?; 336 :)
% Comments :
%------------------------------------------------------------------------------
tff(isa_type,type,
isa: ( $i * $i ) > $o ).
tff(c_aspatialinformationstore_type,type,
c_aspatialinformationstore: $i ).
tff(c_wamt_evalinitial_p14_type,type,
c_wamt_evalinitial_p14: $i ).
tff(aspatialinformationstore_type,type,
aspatialinformationstore: $i > $o ).
tff(microtheory_type,type,
microtheory: $i > $o ).
tff(applicationcontext_type,type,
applicationcontext: $i > $o ).
tff(c_individual_type,type,
c_individual: $i ).
tff(c_collection_type,type,
c_collection: $i ).
tff(collection_type,type,
collection: $i > $o ).
tff(genls_type,type,
genls: ( $i * $i ) > $o ).
tff(c_tptpcol_15_80088_type,type,
c_tptpcol_15_80088: $i ).
tff(disjointwith_type,type,
disjointwith: ( $i * $i ) > $o ).
tff(c_partiallyintangibleindividual_type,type,
c_partiallyintangibleindividual: $i ).
tff(c_informationstore_type,type,
c_informationstore: $i ).
tff(1,plain,
^ [OBJ: $i] :
refl(( ( microtheory(OBJ)
| ~ applicationcontext(OBJ) )
<=> ( microtheory(OBJ)
| ~ applicationcontext(OBJ) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [OBJ: $i] :
( microtheory(OBJ)
| ~ applicationcontext(OBJ) )
<=> ! [OBJ: $i] :
( microtheory(OBJ)
| ~ applicationcontext(OBJ) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [OBJ: $i] :
( microtheory(OBJ)
| ~ applicationcontext(OBJ) )
<=> ! [OBJ: $i] :
( microtheory(OBJ)
| ~ applicationcontext(OBJ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
^ [OBJ: $i] :
rewrite(( ( applicationcontext(OBJ)
=> microtheory(OBJ) )
<=> ( microtheory(OBJ)
| ~ applicationcontext(OBJ) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [OBJ: $i] :
( applicationcontext(OBJ)
=> microtheory(OBJ) )
<=> ! [OBJ: $i] :
( microtheory(OBJ)
| ~ applicationcontext(OBJ) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,axiom,
! [OBJ: $i] :
( applicationcontext(OBJ)
=> microtheory(OBJ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1265) ).
tff(7,plain,
! [OBJ: $i] :
( microtheory(OBJ)
| ~ applicationcontext(OBJ) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [OBJ: $i] :
( microtheory(OBJ)
| ~ applicationcontext(OBJ) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
! [OBJ: $i] :
( microtheory(OBJ)
| ~ applicationcontext(OBJ) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [OBJ: $i] :
( microtheory(OBJ)
| ~ applicationcontext(OBJ) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( applicationcontext(c_wamt_evalinitial_p14)
<=> applicationcontext(c_wamt_evalinitial_p14) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,axiom,
applicationcontext(c_wamt_evalinitial_p14),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1253) ).
tff(13,plain,
applicationcontext(c_wamt_evalinitial_p14),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
( ( ~ ! [OBJ: $i] :
( microtheory(OBJ)
| ~ applicationcontext(OBJ) )
| microtheory(c_wamt_evalinitial_p14)
| ~ applicationcontext(c_wamt_evalinitial_p14) )
<=> ( ~ ! [OBJ: $i] :
( microtheory(OBJ)
| ~ applicationcontext(OBJ) )
| microtheory(c_wamt_evalinitial_p14)
| ~ applicationcontext(c_wamt_evalinitial_p14) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,plain,
( ~ ! [OBJ: $i] :
( microtheory(OBJ)
| ~ applicationcontext(OBJ) )
| microtheory(c_wamt_evalinitial_p14)
| ~ applicationcontext(c_wamt_evalinitial_p14) ),
inference(quant_inst,[status(thm)],[]) ).
tff(16,plain,
( ~ ! [OBJ: $i] :
( microtheory(OBJ)
| ~ applicationcontext(OBJ) )
| microtheory(c_wamt_evalinitial_p14)
| ~ applicationcontext(c_wamt_evalinitial_p14) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
microtheory(c_wamt_evalinitial_p14),
inference(unit_resolution,[status(thm)],[16,13,10]) ).
tff(18,plain,
^ [OBJ: $i] :
refl(( ( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) )
<=> ( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) ) )),
inference(bind,[status(th)],[]) ).
tff(19,plain,
( ! [OBJ: $i] :
( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) )
<=> ! [OBJ: $i] :
( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,plain,
( ! [OBJ: $i] :
( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) )
<=> ! [OBJ: $i] :
( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,plain,
^ [OBJ: $i] :
rewrite(( ( microtheory(OBJ)
=> aspatialinformationstore(OBJ) )
<=> ( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) ) )),
inference(bind,[status(th)],[]) ).
tff(22,plain,
( ! [OBJ: $i] :
( microtheory(OBJ)
=> aspatialinformationstore(OBJ) )
<=> ! [OBJ: $i] :
( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,axiom,
! [OBJ: $i] :
( microtheory(OBJ)
=> aspatialinformationstore(OBJ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3192) ).
tff(24,plain,
! [OBJ: $i] :
( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [OBJ: $i] :
( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) ),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
! [OBJ: $i] :
( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) ),
inference(skolemize,[status(sab)],[25]) ).
tff(27,plain,
! [OBJ: $i] :
( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) ),
inference(modus_ponens,[status(thm)],[26,19]) ).
tff(28,plain,
( ( ~ ! [OBJ: $i] :
( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) )
| aspatialinformationstore(c_wamt_evalinitial_p14)
| ~ microtheory(c_wamt_evalinitial_p14) )
<=> ( ~ ! [OBJ: $i] :
( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) )
| aspatialinformationstore(c_wamt_evalinitial_p14)
| ~ microtheory(c_wamt_evalinitial_p14) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(29,plain,
( ~ ! [OBJ: $i] :
( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) )
| aspatialinformationstore(c_wamt_evalinitial_p14)
| ~ microtheory(c_wamt_evalinitial_p14) ),
inference(quant_inst,[status(thm)],[]) ).
tff(30,plain,
( ~ ! [OBJ: $i] :
( aspatialinformationstore(OBJ)
| ~ microtheory(OBJ) )
| aspatialinformationstore(c_wamt_evalinitial_p14)
| ~ microtheory(c_wamt_evalinitial_p14) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
aspatialinformationstore(c_wamt_evalinitial_p14),
inference(unit_resolution,[status(thm)],[30,27,17]) ).
tff(32,plain,
^ [X: $i] :
refl(( ( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) )
<=> ( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) ) )),
inference(bind,[status(th)],[]) ).
tff(33,plain,
( ! [X: $i] :
( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) )
<=> ! [X: $i] :
( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) ) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,plain,
( ! [X: $i] :
( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) )
<=> ! [X: $i] :
( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(35,plain,
^ [X: $i] :
rewrite(( ( aspatialinformationstore(X)
=> isa(X,c_aspatialinformationstore) )
<=> ( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) ) )),
inference(bind,[status(th)],[]) ).
tff(36,plain,
( ! [X: $i] :
( aspatialinformationstore(X)
=> isa(X,c_aspatialinformationstore) )
<=> ! [X: $i] :
( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) ) ),
inference(quant_intro,[status(thm)],[35]) ).
tff(37,axiom,
! [X: $i] :
( aspatialinformationstore(X)
=> isa(X,c_aspatialinformationstore) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7852) ).
tff(38,plain,
! [X: $i] :
( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
! [X: $i] :
( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) ),
inference(modus_ponens,[status(thm)],[38,34]) ).
tff(40,plain,
! [X: $i] :
( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) ),
inference(skolemize,[status(sab)],[39]) ).
tff(41,plain,
! [X: $i] :
( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) ),
inference(modus_ponens,[status(thm)],[40,33]) ).
tff(42,plain,
( ( ~ ! [X: $i] :
( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) )
| ~ aspatialinformationstore(c_wamt_evalinitial_p14)
| isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) )
<=> ( ~ ! [X: $i] :
( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) )
| ~ aspatialinformationstore(c_wamt_evalinitial_p14)
| isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(43,plain,
( ~ ! [X: $i] :
( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) )
| ~ aspatialinformationstore(c_wamt_evalinitial_p14)
| isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) ),
inference(quant_inst,[status(thm)],[]) ).
tff(44,plain,
( ~ ! [X: $i] :
( ~ aspatialinformationstore(X)
| isa(X,c_aspatialinformationstore) )
| ~ aspatialinformationstore(c_wamt_evalinitial_p14)
| isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
isa(c_wamt_evalinitial_p14,c_aspatialinformationstore),
inference(unit_resolution,[status(thm)],[44,41,31]) ).
tff(46,plain,
( genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088)
<=> genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,plain,
( ~ ~ genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088)
<=> genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,axiom,
~ ~ genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query145) ).
tff(49,plain,
genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088),
inference(modus_ponens,[status(thm)],[49,46]) ).
tff(51,plain,
^ [INS: $i,ARG2: $i] :
refl(( ( collection(INS)
| ~ genls(INS,ARG2) )
<=> ( collection(INS)
| ~ genls(INS,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(52,plain,
( ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) )
<=> ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ) ),
inference(quant_intro,[status(thm)],[51]) ).
tff(53,plain,
( ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) )
<=> ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,plain,
^ [INS: $i,ARG2: $i] :
rewrite(( ( genls(INS,ARG2)
=> collection(INS) )
<=> ( collection(INS)
| ~ genls(INS,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(55,plain,
( ! [INS: $i,ARG2: $i] :
( genls(INS,ARG2)
=> collection(INS) )
<=> ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ) ),
inference(quant_intro,[status(thm)],[54]) ).
tff(56,axiom,
! [INS: $i,ARG2: $i] :
( genls(INS,ARG2)
=> collection(INS) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7989) ).
tff(57,plain,
! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ),
inference(modus_ponens,[status(thm)],[57,53]) ).
tff(59,plain,
! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ),
inference(skolemize,[status(sab)],[58]) ).
tff(60,plain,
! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ genls(INS,ARG2) ),
inference(modus_ponens,[status(thm)],[59,52]) ).
tff(61,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(62,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(63,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)],[62,61]) ).
tff(64,plain,
collection(c_wamt_evalinitial_p14),
inference(unit_resolution,[status(thm)],[63,60,50]) ).
tff(65,plain,
^ [X: $i] :
refl(( ( ~ collection(X)
| isa(X,c_collection) )
<=> ( ~ collection(X)
| isa(X,c_collection) ) )),
inference(bind,[status(th)],[]) ).
tff(66,plain,
( ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
<=> ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ) ),
inference(quant_intro,[status(thm)],[65]) ).
tff(67,plain,
( ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) )
<=> ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(68,plain,
^ [X: $i] :
rewrite(( ( collection(X)
=> isa(X,c_collection) )
<=> ( ~ collection(X)
| isa(X,c_collection) ) )),
inference(bind,[status(th)],[]) ).
tff(69,plain,
( ! [X: $i] :
( collection(X)
=> isa(X,c_collection) )
<=> ! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ) ),
inference(quant_intro,[status(thm)],[68]) ).
tff(70,axiom,
! [X: $i] :
( collection(X)
=> isa(X,c_collection) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7957) ).
tff(71,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(modus_ponens,[status(thm)],[71,67]) ).
tff(73,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(skolemize,[status(sab)],[72]) ).
tff(74,plain,
! [X: $i] :
( ~ collection(X)
| isa(X,c_collection) ),
inference(modus_ponens,[status(thm)],[73,66]) ).
tff(75,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(76,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(77,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)],[76,75]) ).
tff(78,plain,
isa(c_wamt_evalinitial_p14,c_collection),
inference(unit_resolution,[status(thm)],[77,74,64]) ).
tff(79,plain,
( disjointwith(c_collection,c_individual)
<=> disjointwith(c_collection,c_individual) ),
inference(rewrite,[status(thm)],[]) ).
tff(80,axiom,
disjointwith(c_collection,c_individual),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3090) ).
tff(81,plain,
disjointwith(c_collection,c_individual),
inference(modus_ponens,[status(thm)],[80,79]) ).
tff(82,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(83,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)],[82]) ).
tff(84,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(85,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)],[84]) ).
tff(86,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(87,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(88,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)],[87]) ).
tff(89,axiom,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_848) ).
tff(90,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
inference(modus_ponens,[status(thm)],[89,88]) ).
tff(91,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
inference(modus_ponens,[status(thm)],[90,86]) ).
tff(92,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
~ ( isa(OBJ,COL1)
& isa(OBJ,COL2)
& disjointwith(COL1,COL2) ),
inference(skolemize,[status(sab)],[91]) ).
tff(93,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ),
inference(modus_ponens,[status(thm)],[92,85]) ).
tff(94,plain,
! [OBJ: $i,COL1: $i,COL2: $i] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL1)
| ~ isa(OBJ,COL2) ),
inference(modus_ponens,[status(thm)],[93,83]) ).
tff(95,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(96,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(97,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)],[96,95]) ).
tff(98,plain,
~ isa(c_wamt_evalinitial_p14,c_individual),
inference(unit_resolution,[status(thm)],[97,94,81,78]) ).
tff(99,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(100,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(101,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)],[100]) ).
tff(102,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(103,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(104,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)],[103]) ).
tff(105,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( genls(ARG1,OLD)
& genls(OLD,NEW) )
=> genls(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7995) ).
tff(106,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[105,104]) ).
tff(107,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[106,102]) ).
tff(108,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( genls(ARG1,OLD)
& genls(OLD,NEW) )
| genls(ARG1,NEW) ),
inference(skolemize,[status(sab)],[107]) ).
tff(109,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[108,101]) ).
tff(110,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[109,99]) ).
tff(111,plain,
( genls(c_informationstore,c_partiallyintangibleindividual)
<=> genls(c_informationstore,c_partiallyintangibleindividual) ),
inference(rewrite,[status(thm)],[]) ).
tff(112,axiom,
genls(c_informationstore,c_partiallyintangibleindividual),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_937) ).
tff(113,plain,
genls(c_informationstore,c_partiallyintangibleindividual),
inference(modus_ponens,[status(thm)],[112,111]) ).
tff(114,plain,
( genls(c_aspatialinformationstore,c_informationstore)
<=> genls(c_aspatialinformationstore,c_informationstore) ),
inference(rewrite,[status(thm)],[]) ).
tff(115,axiom,
genls(c_aspatialinformationstore,c_informationstore),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_287) ).
tff(116,plain,
genls(c_aspatialinformationstore,c_informationstore),
inference(modus_ponens,[status(thm)],[115,114]) ).
tff(117,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_aspatialinformationstore,c_informationstore)
| genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| ~ genls(c_informationstore,c_partiallyintangibleindividual) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_aspatialinformationstore,c_informationstore)
| genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| ~ genls(c_informationstore,c_partiallyintangibleindividual) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(118,plain,
( ( genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| ~ genls(c_informationstore,c_partiallyintangibleindividual)
| ~ genls(c_aspatialinformationstore,c_informationstore) )
<=> ( ~ genls(c_aspatialinformationstore,c_informationstore)
| genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| ~ genls(c_informationstore,c_partiallyintangibleindividual) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(119,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| ~ genls(c_informationstore,c_partiallyintangibleindividual)
| ~ genls(c_aspatialinformationstore,c_informationstore) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_aspatialinformationstore,c_informationstore)
| genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| ~ genls(c_informationstore,c_partiallyintangibleindividual) ) ),
inference(monotonicity,[status(thm)],[118]) ).
tff(120,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| ~ genls(c_informationstore,c_partiallyintangibleindividual)
| ~ genls(c_aspatialinformationstore,c_informationstore) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_aspatialinformationstore,c_informationstore)
| genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| ~ genls(c_informationstore,c_partiallyintangibleindividual) ) ),
inference(transitivity,[status(thm)],[119,117]) ).
tff(121,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| ~ genls(c_informationstore,c_partiallyintangibleindividual)
| ~ genls(c_aspatialinformationstore,c_informationstore) ),
inference(quant_inst,[status(thm)],[]) ).
tff(122,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_aspatialinformationstore,c_informationstore)
| genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| ~ genls(c_informationstore,c_partiallyintangibleindividual) ),
inference(modus_ponens,[status(thm)],[121,120]) ).
tff(123,plain,
genls(c_aspatialinformationstore,c_partiallyintangibleindividual),
inference(unit_resolution,[status(thm)],[122,116,113,110]) ).
tff(124,plain,
( genls(c_partiallyintangibleindividual,c_individual)
<=> genls(c_partiallyintangibleindividual,c_individual) ),
inference(rewrite,[status(thm)],[]) ).
tff(125,axiom,
genls(c_partiallyintangibleindividual,c_individual),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3128) ).
tff(126,plain,
genls(c_partiallyintangibleindividual,c_individual),
inference(modus_ponens,[status(thm)],[125,124]) ).
tff(127,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| genls(c_aspatialinformationstore,c_individual) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| genls(c_aspatialinformationstore,c_individual) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(128,plain,
( ( genls(c_aspatialinformationstore,c_individual)
| ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_aspatialinformationstore,c_partiallyintangibleindividual) )
<=> ( ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| genls(c_aspatialinformationstore,c_individual) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(129,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_aspatialinformationstore,c_individual)
| ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_aspatialinformationstore,c_partiallyintangibleindividual) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| genls(c_aspatialinformationstore,c_individual) ) ),
inference(monotonicity,[status(thm)],[128]) ).
tff(130,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_aspatialinformationstore,c_individual)
| ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_aspatialinformationstore,c_partiallyintangibleindividual) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| genls(c_aspatialinformationstore,c_individual) ) ),
inference(transitivity,[status(thm)],[129,127]) ).
tff(131,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| genls(c_aspatialinformationstore,c_individual)
| ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_aspatialinformationstore,c_partiallyintangibleindividual) ),
inference(quant_inst,[status(thm)],[]) ).
tff(132,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) )
| ~ genls(c_partiallyintangibleindividual,c_individual)
| ~ genls(c_aspatialinformationstore,c_partiallyintangibleindividual)
| genls(c_aspatialinformationstore,c_individual) ),
inference(modus_ponens,[status(thm)],[131,130]) ).
tff(133,plain,
genls(c_aspatialinformationstore,c_individual),
inference(unit_resolution,[status(thm)],[132,126,110,123]) ).
tff(134,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(135,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)],[134]) ).
tff(136,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(137,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)],[136]) ).
tff(138,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(139,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(140,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)],[139]) ).
tff(141,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( isa(ARG1,OLD)
& genls(OLD,NEW) )
=> isa(ARG1,NEW) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7982) ).
tff(142,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[141,140]) ).
tff(143,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ),
inference(modus_ponens,[status(thm)],[142,138]) ).
tff(144,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ~ ( isa(ARG1,OLD)
& genls(OLD,NEW) )
| isa(ARG1,NEW) ),
inference(skolemize,[status(sab)],[143]) ).
tff(145,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[144,137]) ).
tff(146,plain,
! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) ),
inference(modus_ponens,[status(thm)],[145,135]) ).
tff(147,plain,
( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| ~ genls(c_aspatialinformationstore,c_individual)
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| ~ genls(c_aspatialinformationstore,c_individual)
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(148,plain,
( ( isa(c_wamt_evalinitial_p14,c_individual)
| ~ genls(c_aspatialinformationstore,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) )
<=> ( ~ genls(c_aspatialinformationstore,c_individual)
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(149,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_aspatialinformationstore,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| ~ genls(c_aspatialinformationstore,c_individual)
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) ) ),
inference(monotonicity,[status(thm)],[148]) ).
tff(150,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_aspatialinformationstore,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) )
<=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| ~ genls(c_aspatialinformationstore,c_individual)
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) ) ),
inference(transitivity,[status(thm)],[149,147]) ).
tff(151,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_aspatialinformationstore,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) ),
inference(quant_inst,[status(thm)],[]) ).
tff(152,plain,
( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
( isa(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ isa(ARG1,OLD) )
| ~ genls(c_aspatialinformationstore,c_individual)
| isa(c_wamt_evalinitial_p14,c_individual)
| ~ isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) ),
inference(modus_ponens,[status(thm)],[151,150]) ).
tff(153,plain,
$false,
inference(unit_resolution,[status(thm)],[152,146,133,98,45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : CSR045+3 : TPTP v9.0.0. Released v3.4.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Jun 19 12:38:32 EDT 2025
% 0.14/0.36 % CPUTime :
% 11.24/11.44 % SZS status Theorem
% 11.24/11.44 % SZS output start Proof
% See solution above
% 11.47/11.66 % E exiting
%------------------------------------------------------------------------------