%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : CSR038+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 : Wed Jul 27 12:48:53 EDT 2022
% Result : Theorem 1.65s 1.88s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 6 unt; 0 nHn; 10 RR)
% Number of literals : 15 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ isa(A,B)
| ~ relationexistsall(C,D,B)
| isa(f_relationexistsallfn(A,C,D,B),D) ),
file('CSR038+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ isa(A,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(A,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),A) ),
file('CSR038+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ isa(A,c_tptpcol_16_7738)
| tptpcol_16_7738(A) ),
file('CSR038+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ tptp_8_968(A,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
| ~ tptpcol_16_7738(A) ),
file('CSR038+1.p',unknown),
[] ).
cnf(50,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('CSR038+1.p',unknown),
[] ).
cnf(51,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('CSR038+1.p',unknown),
[] ).
cnf(82,plain,
tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
inference(hyper,[status(thm)],[51,2]),
[iquote('hyper,51,2')] ).
cnf(83,plain,
isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738),
inference(hyper,[status(thm)],[51,1,50]),
[iquote('hyper,51,1,50')] ).
cnf(85,plain,
tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))),
inference(hyper,[status(thm)],[83,26]),
[iquote('hyper,83,26')] ).
cnf(86,plain,
$false,
inference(hyper,[status(thm)],[85,45,82]),
[iquote('hyper,85,45,82')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR038+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 04:36:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.65/1.87 ----- Otter 3.3f, August 2004 -----
% 1.65/1.87 The process was started by sandbox2 on n029.cluster.edu,
% 1.65/1.87 Wed Jul 27 04:36:29 2022
% 1.65/1.87 The command was "./otter". The process ID is 19289.
% 1.65/1.87
% 1.65/1.87 set(prolog_style_variables).
% 1.65/1.87 set(auto).
% 1.65/1.87 dependent: set(auto1).
% 1.65/1.87 dependent: set(process_input).
% 1.65/1.87 dependent: clear(print_kept).
% 1.65/1.87 dependent: clear(print_new_demod).
% 1.65/1.87 dependent: clear(print_back_demod).
% 1.65/1.87 dependent: clear(print_back_sub).
% 1.65/1.87 dependent: set(control_memory).
% 1.65/1.87 dependent: assign(max_mem, 12000).
% 1.65/1.87 dependent: assign(pick_given_ratio, 4).
% 1.65/1.87 dependent: assign(stats_level, 1).
% 1.65/1.87 dependent: assign(max_seconds, 10800).
% 1.65/1.87 clear(print_given).
% 1.65/1.87
% 1.65/1.87 formula_list(usable).
% 1.65/1.87 all TERM INDEPCOL PRED DEPCOL (isa(TERM,INDEPCOL)&relationexistsall(PRED,DEPCOL,INDEPCOL)->isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)).
% 1.65/1.87 resultisaarg(c_relationexistsallfn,n_3).
% 1.65/1.87 genlmt(c_knowledgefragmentd3mt,c_basekb).
% 1.65/1.87 transitivebinarypredicate(c_genlmt).
% 1.65/1.87 genlmt(c_basekb,c_universalvocabularymt).
% 1.65/1.87 all TERM (isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))->tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM)).
% 1.65/1.87 relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)).
% 1.65/1.87 isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)).
% 1.65/1.87 subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804).
% 1.65/1.87 all OBJ COL1 COL2 (-(isa(OBJ,COL1)&isa(OBJ,COL2)&disjointwith(COL1,COL2))).
% 1.65/1.87 all SPECPRED PRED GENLPRED (genlinverse(SPECPRED,PRED)&genlinverse(PRED,GENLPRED)->genlpreds(SPECPRED,GENLPRED)).
% 1.65/1.87 all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 1.65/1.87 all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 1.65/1.87 all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 1.65/1.87 all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 1.65/1.87 all X Y Z (genlpreds(X,Y)&genlpreds(Y,Z)->genlpreds(X,Z)).
% 1.65/1.87 all X (predicate(X)->genlpreds(X,X)).
% 1.65/1.87 all X (predicate(X)->genlpreds(X,X)).
% 1.65/1.87 all ARG1 INS (genlinverse(ARG1,INS)->binarypredicate(INS)).
% 1.65/1.87 all INS ARG2 (genlinverse(INS,ARG2)->binarypredicate(INS)).
% 1.65/1.87 all OLD ARG2 NEW (genlinverse(OLD,ARG2)&genlpreds(NEW,OLD)->genlinverse(NEW,ARG2)).
% 1.65/1.87 all ARG1 OLD NEW (genlinverse(ARG1,OLD)&genlpreds(OLD,NEW)->genlinverse(ARG1,NEW)).
% 1.65/1.87 all ARG1 INS (disjointwith(ARG1,INS)->collection(INS)).
% 1.65/1.87 all INS ARG2 (disjointwith(INS,ARG2)->collection(INS)).
% 1.65/1.87 all X Y (disjointwith(X,Y)->disjointwith(Y,X)).
% 1.65/1.87 all ARG1 OLD NEW (disjointwith(ARG1,OLD)&genls(NEW,OLD)->disjointwith(ARG1,NEW)).
% 1.65/1.87 all OLD ARG2 NEW (disjointwith(OLD,ARG2)&genls(NEW,OLD)->disjointwith(NEW,ARG2)).
% 1.65/1.87 all X (isa(X,c_correctivelensprescription)->correctivelensprescription(X)).
% 1.65/1.87 all X (correctivelensprescription(X)->isa(X,c_correctivelensprescription)).
% 1.65/1.87 all ARG1 INS (products(ARG1,INS)->artifact(INS)).
% 1.65/1.87 all INS ARG2 (products(INS,ARG2)->creationordestructionevent(INS)).
% 1.65/1.87 all X (isa(X,c_issuingaprescription)->issuingaprescription(X)).
% 1.65/1.87 all X (issuingaprescription(X)->isa(X,c_issuingaprescription)).
% 1.65/1.87 all ARG1 ARG2 ARG3 natfunction(f_subcollectionofwithrelationtotypefn(ARG1,ARG2,ARG3),c_subcollectionofwithrelationtotypefn).
% 1.65/1.87 all ARG1 ARG2 ARG3 natargument(f_subcollectionofwithrelationtotypefn(ARG1,ARG2,ARG3),n_1,ARG1).
% 1.65/1.87 all ARG1 ARG2 ARG3 natargument(f_subcollectionofwithrelationtotypefn(ARG1,ARG2,ARG3),n_2,ARG2).
% 1.65/1.87 all ARG1 ARG2 ARG3 natargument(f_subcollectionofwithrelationtotypefn(ARG1,ARG2,ARG3),n_3,ARG3).
% 1.65/1.87 all ARG1 ARG2 ARG3 collection(f_subcollectionofwithrelationtotypefn(ARG1,ARG2,ARG3)).
% 1.65/1.87 all X (isa(X,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))->subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X)).
% 1.65/1.87 all X (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X)->isa(X,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))).
% 1.65/1.87 all X (isa(X,c_tptpcol_16_7738)->tptpcol_16_7738(X)).
% 1.65/1.87 all X (tptpcol_16_7738(X)->isa(X,c_tptpcol_16_7738)).
% 1.65/1.87 all ARG1 INS (tptp_8_968(ARG1,INS)->subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(INS)).
% 1.65/1.87 all INS ARG2 (tptp_8_968(INS,ARG2)->tptpcol_7_7172(INS)).
% 1.65/1.87 all ARG1 ARG2 INS (relationexistsall(ARG1,ARG2,INS)->collection(INS)).
% 1.65/1.87 all ARG1 INS ARG3 (relationexistsall(ARG1,INS,ARG3)->collection(INS)).
% 1.65/1.87 all INS ARG2 ARG3 (relationexistsall(INS,ARG2,ARG3)->binarypredicate(INS)).
% 1.65/1.87 all X (isa(X,c_transitivebinarypredicate)->transitivebinarypredicate(X)).
% 1.65/1.87 all X (transitivebinarypredicate(X)->isa(X,c_transitivebinarypredicate)).
% 1.65/1.87 all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 1.65/1.87 all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 1.65/1.87 all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 1.65/1.87 all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 1.65/1.87 all ARG1 OLD NEW (isa(ARG1,OLD)&genls(OLD,NEW)->isa(ARG1,NEW)).
% 1.65/1.87 all SPECMT GENLMT (mtvisible(SPECMT)&genlmt(SPECMT,GENLMT)->mtvisible(GENLMT)).
% 1.65/1.87 all ARG1 INS (genlmt(ARG1,INS)->microtheory(INS)).
% 1.65/1.87 all ARG1 INS (genlmt(ARG1,INS)->microtheory(INS)).
% 1.65/1.87 all INS ARG2 (genlmt(INS,ARG2)->microtheory(INS)).
% 1.65/1.87 all INS ARG2 (genlmt(INS,ARG2)->microtheory(INS)).
% 1.65/1.87 all X Y Z (genlmt(X,Y)&genlmt(Y,Z)->genlmt(X,Z)).
% 1.65/1.87 all X (microtheory(X)->genlmt(X,X)).
% 1.65/1.87 all X (microtheory(X)->genlmt(X,X)).
% 1.65/1.87 mtvisible(c_basekb).
% 1.65/1.87 all ARG1 ARG2 ARG3 ARG4 natfunction(f_relationexistsallfn(ARG1,ARG2,ARG3,ARG4),c_relationexistsallfn).
% 1.65/1.87 all ARG1 ARG2 ARG3 ARG4 natargument(f_relationexistsallfn(ARG1,ARG2,ARG3,ARG4),n_1,ARG1).
% 1.65/1.87 all ARG1 ARG2 ARG3 ARG4 natargument(f_relationexistsallfn(ARG1,ARG2,ARG3,ARG4),n_2,ARG2).
% 1.65/1.87 all ARG1 ARG2 ARG3 ARG4 natargument(f_relationexistsallfn(ARG1,ARG2,ARG3,ARG4),n_3,ARG3).
% 1.65/1.87 all ARG1 ARG2 ARG3 ARG4 natargument(f_relationexistsallfn(ARG1,ARG2,ARG3,ARG4),n_4,ARG4).
% 1.65/1.87 all ARG1 ARG2 ARG3 ARG4 thing(f_relationexistsallfn(ARG1,ARG2,ARG3,ARG4)).
% 1.65/1.87 all ARG1 INS (resultisaarg(ARG1,INS)->positiveinteger(INS)).
% 1.65/1.87 all INS ARG2 (resultisaarg(INS,ARG2)->function_denotational(INS)).
% 1.65/1.87 mtvisible(c_universalvocabularymt).
% 1.65/1.87 -(exists X (mtvisible(c_knowledgefragmentd3mt)->tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)&tptpcol_16_7738(X))).
% 1.65/1.87 end_of_list.
% 1.65/1.87
% 1.65/1.87 -------> usable clausifies to:
% 1.65/1.87
% 1.65/1.87 list(usable).
% 1.65/1.87 0 [] -isa(TERM,INDEPCOL)| -relationexistsall(PRED,DEPCOL,INDEPCOL)|isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL).
% 1.65/1.87 0 [] resultisaarg(c_relationexistsallfn,n_3).
% 1.65/1.87 0 [] genlmt(c_knowledgefragmentd3mt,c_basekb).
% 1.65/1.87 0 [] transitivebinarypredicate(c_genlmt).
% 1.65/1.87 0 [] genlmt(c_basekb,c_universalvocabularymt).
% 1.65/1.87 0 [] -isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))|tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM).
% 1.65/1.87 0 [] relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)).
% 1.65/1.87 0 [] isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)).
% 1.65/1.87 0 [] subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804).
% 1.65/1.87 0 [] -isa(OBJ,COL1)| -isa(OBJ,COL2)| -disjointwith(COL1,COL2).
% 1.65/1.87 0 [] -genlinverse(SPECPRED,PRED)| -genlinverse(PRED,GENLPRED)|genlpreds(SPECPRED,GENLPRED).
% 1.65/1.87 0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 1.65/1.87 0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 1.65/1.87 0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 1.65/1.87 0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 1.65/1.87 0 [] -genlpreds(X,Y)| -genlpreds(Y,Z)|genlpreds(X,Z).
% 1.65/1.87 0 [] -predicate(X)|genlpreds(X,X).
% 1.65/1.87 0 [] -predicate(X)|genlpreds(X,X).
% 1.65/1.87 0 [] -genlinverse(ARG1,INS)|binarypredicate(INS).
% 1.65/1.87 0 [] -genlinverse(INS,ARG2)|binarypredicate(INS).
% 1.65/1.87 0 [] -genlinverse(OLD,ARG2)| -genlpreds(NEW,OLD)|genlinverse(NEW,ARG2).
% 1.65/1.87 0 [] -genlinverse(ARG1,OLD)| -genlpreds(OLD,NEW)|genlinverse(ARG1,NEW).
% 1.65/1.87 0 [] -disjointwith(ARG1,INS)|collection(INS).
% 1.65/1.87 0 [] -disjointwith(INS,ARG2)|collection(INS).
% 1.65/1.87 0 [] -disjointwith(X,Y)|disjointwith(Y,X).
% 1.65/1.87 0 [] -disjointwith(ARG1,OLD)| -genls(NEW,OLD)|disjointwith(ARG1,NEW).
% 1.65/1.87 0 [] -disjointwith(OLD,ARG2)| -genls(NEW,OLD)|disjointwith(NEW,ARG2).
% 1.65/1.87 0 [] -isa(X,c_correctivelensprescription)|correctivelensprescription(X).
% 1.65/1.87 0 [] -correctivelensprescription(X)|isa(X,c_correctivelensprescription).
% 1.65/1.87 0 [] -products(ARG1,INS)|artifact(INS).
% 1.65/1.87 0 [] -products(INS,ARG2)|creationordestructionevent(INS).
% 1.65/1.87 0 [] -isa(X,c_issuingaprescription)|issuingaprescription(X).
% 1.65/1.87 0 [] -issuingaprescription(X)|isa(X,c_issuingaprescription).
% 1.65/1.87 0 [] natfunction(f_subcollectionofwithrelationtotypefn(ARG1,ARG2,ARG3),c_subcollectionofwithrelationtotypefn).
% 1.65/1.87 0 [] natargument(f_subcollectionofwithrelationtotypefn(ARG1,ARG2,ARG3),n_1,ARG1).
% 1.65/1.87 0 [] natargument(f_subcollectionofwithrelationtotypefn(ARG1,ARG2,ARG3),n_2,ARG2).
% 1.65/1.87 0 [] natargument(f_subcollectionofwithrelationtotypefn(ARG1,ARG2,ARG3),n_3,ARG3).
% 1.65/1.87 0 [] collection(f_subcollectionofwithrelationtotypefn(ARG1,ARG2,ARG3)).
% 1.65/1.87 0 [] -isa(X,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))|subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X).
% 1.65/1.87 0 [] -subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X)|isa(X,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)).
% 1.65/1.87 0 [] -isa(X,c_tptpcol_16_7738)|tptpcol_16_7738(X).
% 1.65/1.87 0 [] -tptpcol_16_7738(X)|isa(X,c_tptpcol_16_7738).
% 1.65/1.87 0 [] -tptp_8_968(ARG1,INS)|subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(INS).
% 1.65/1.87 0 [] -tptp_8_968(INS,ARG2)|tptpcol_7_7172(INS).
% 1.65/1.87 0 [] -relationexistsall(ARG1,ARG2,INS)|collection(INS).
% 1.65/1.87 0 [] -relationexistsall(ARG1,INS,ARG3)|collection(INS).
% 1.65/1.87 0 [] -relationexistsall(INS,ARG2,ARG3)|binarypredicate(INS).
% 1.65/1.87 0 [] -isa(X,c_transitivebinarypredicate)|transitivebinarypredicate(X).
% 1.65/1.87 0 [] -transitivebinarypredicate(X)|isa(X,c_transitivebinarypredicate).
% 1.65/1.87 0 [] -isa(ARG1,INS)|collection(INS).
% 1.65/1.87 0 [] -isa(ARG1,INS)|collection(INS).
% 1.65/1.87 0 [] -isa(INS,ARG2)|thing(INS).
% 1.65/1.87 0 [] -isa(INS,ARG2)|thing(INS).
% 1.65/1.87 0 [] -isa(ARG1,OLD)| -genls(OLD,NEW)|isa(ARG1,NEW).
% 1.65/1.87 0 [] -mtvisible(SPECMT)| -genlmt(SPECMT,GENLMT)|mtvisible(GENLMT).
% 1.65/1.87 0 [] -genlmt(ARG1,INS)|microtheory(INS).
% 1.65/1.87 0 [] -genlmt(ARG1,INS)|microtheory(INS).
% 1.65/1.87 0 [] -genlmt(INS,ARG2)|microtheory(INS).
% 1.65/1.87 0 [] -genlmt(INS,ARG2)|microtheory(INS).
% 1.65/1.87 0 [] -genlmt(X,Y)| -genlmt(Y,Z)|genlmt(X,Z).
% 1.65/1.87 0 [] -microtheory(X)|genlmt(X,X).
% 1.65/1.87 0 [] -microtheory(X)|genlmt(X,X).
% 1.65/1.87 0 [] mtvisible(c_basekb).
% 1.65/1.87 0 [] natfunction(f_relationexistsallfn(ARG1,ARG2,ARG3,ARG4),c_relationexistsallfn).
% 1.65/1.87 0 [] natargument(f_relationexistsallfn(ARG1,ARG2,ARG3,ARG4),n_1,ARG1).
% 1.65/1.87 0 [] natargument(f_relationexistsallfn(ARG1,ARG2,ARG3,ARG4),n_2,ARG2).
% 1.65/1.87 0 [] natargument(f_relationexistsallfn(ARG1,ARG2,ARG3,ARG4),n_3,ARG3).
% 1.65/1.87 0 [] natargument(f_relationexistsallfn(ARG1,ARG2,ARG3,ARG4),n_4,ARG4).
% 1.65/1.87 0 [] thing(f_relationexistsallfn(ARG1,ARG2,ARG3,ARG4)).
% 1.65/1.87 0 [] -resultisaarg(ARG1,INS)|positiveinteger(INS).
% 1.65/1.87 0 [] -resultisaarg(INS,ARG2)|function_denotational(INS).
% 1.65/1.87 0 [] mtvisible(c_universalvocabularymt).
% 1.65/1.87 0 [] mtvisible(c_knowledgefragmentd3mt).
% 1.65/1.87 0 [] -tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)| -tptpcol_16_7738(X).
% 1.65/1.87 end_of_list.
% 1.65/1.87
% 1.65/1.87 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.65/1.87
% 1.65/1.87 This is a Horn set without equality. The strategy will
% 1.65/1.87 be hyperresolution, with satellites in sos and nuclei
% 1.65/1.87 in usable.
% 1.65/1.87
% 1.65/1.87 dependent: set(hyper_res).
% 1.65/1.87 dependent: clear(order_hyper).
% 1.65/1.87
% 1.65/1.87 ------------> process usable:
% 1.65/1.87 ** KEPT (pick-wt=14): 1 [] -isa(A,B)| -relationexistsall(C,D,B)|isa(f_relationexistsallfn(A,C,D,B),D).
% 1.65/1.87 ** KEPT (pick-wt=16): 2 [] -isa(A,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))|tptp_8_968(f_relationexistsallfn(A,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),A).
% 1.65/1.87 ** KEPT (pick-wt=9): 3 [] -isa(A,B)| -isa(A,C)| -disjointwith(B,C).
% 1.65/1.87 ** KEPT (pick-wt=9): 4 [] -genlinverse(A,B)| -genlinverse(B,C)|genlpreds(A,C).
% 1.65/1.87 ** KEPT (pick-wt=5): 5 [] -genlpreds(A,B)|predicate(B).
% 1.65/1.87 Following clause subsumed by 5 during input processing: 0 [] -genlpreds(A,B)|predicate(B).
% 1.65/1.87 ** KEPT (pick-wt=5): 6 [] -genlpreds(A,B)|predicate(A).
% 1.65/1.87 Following clause subsumed by 6 during input processing: 0 [] -genlpreds(A,B)|predicate(A).
% 1.65/1.87 ** KEPT (pick-wt=9): 7 [] -genlpreds(A,B)| -genlpreds(B,C)|genlpreds(A,C).
% 1.65/1.87 ** KEPT (pick-wt=5): 8 [] -predicate(A)|genlpreds(A,A).
% 1.65/1.87 Following clause subsumed by 8 during input processing: 0 [] -predicate(A)|genlpreds(A,A).
% 1.65/1.87 ** KEPT (pick-wt=5): 9 [] -genlinverse(A,B)|binarypredicate(B).
% 1.65/1.87 ** KEPT (pick-wt=5): 10 [] -genlinverse(A,B)|binarypredicate(A).
% 1.65/1.87 ** KEPT (pick-wt=9): 11 [] -genlinverse(A,B)| -genlpreds(C,A)|genlinverse(C,B).
% 1.65/1.87 ** KEPT (pick-wt=9): 12 [] -genlinverse(A,B)| -genlpreds(B,C)|genlinverse(A,C).
% 1.65/1.87 ** KEPT (pick-wt=5): 13 [] -disjointwith(A,B)|collection(B).
% 1.65/1.87 ** KEPT (pick-wt=5): 14 [] -disjointwith(A,B)|collection(A).
% 1.65/1.87 ** KEPT (pick-wt=6): 15 [] -disjointwith(A,B)|disjointwith(B,A).
% 1.65/1.87 ** KEPT (pick-wt=9): 16 [] -disjointwith(A,B)| -genls(C,B)|disjointwith(A,C).
% 1.65/1.87 ** KEPT (pick-wt=9): 17 [] -disjointwith(A,B)| -genls(C,A)|disjointwith(C,B).
% 1.65/1.87 ** KEPT (pick-wt=5): 18 [] -isa(A,c_correctivelensprescription)|correctivelensprescription(A).
% 1.65/1.87 ** KEPT (pick-wt=5): 19 [] -correctivelensprescription(A)|isa(A,c_correctivelensprescription).
% 1.65/1.87 ** KEPT (pick-wt=5): 20 [] -products(A,B)|artifact(B).
% 1.65/1.87 ** KEPT (pick-wt=5): 21 [] -products(A,B)|creationordestructionevent(A).
% 1.65/1.87 ** KEPT (pick-wt=5): 22 [] -isa(A,c_issuingaprescription)|issuingaprescription(A).
% 1.65/1.87 ** KEPT (pick-wt=5): 23 [] -issuingaprescription(A)|isa(A,c_issuingaprescription).
% 1.65/1.87 ** KEPT (pick-wt=8): 24 [] -isa(A,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))|subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(A).
% 1.65/1.87 ** KEPT (pick-wt=8): 25 [] -subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(A)|isa(A,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)).
% 1.65/1.87 ** KEPT (pick-wt=5): 26 [] -isa(A,c_tptpcol_16_7738)|tptpcol_16_7738(A).
% 1.65/1.87 ** KEPT (pick-wt=5): 27 [] -tptpcol_16_7738(A)|isa(A,c_tptpcol_16_7738).
% 1.65/1.87 ** KEPT (pick-wt=5): 28 [] -tptp_8_968(A,B)|subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(B).
% 1.65/1.87 ** KEPT (pick-wt=5): 29 [] -tptp_8_968(A,B)|tptpcol_7_7172(A).
% 1.65/1.87 ** KEPT (pick-wt=6): 30 [] -relationexistsall(A,B,C)|collection(C).
% 1.65/1.87 ** KEPT (pick-wt=6): 31 [] -relationexistsall(A,B,C)|collection(B).
% 1.65/1.87 ** KEPT (pick-wt=6): 32 [] -relationexistsall(A,B,C)|binarypredicate(A).
% 1.65/1.87 ** KEPT (pick-wt=5): 33 [] -isa(A,c_transitivebinarypredicate)|transitivebinarypredicate(A).
% 1.65/1.87 ** KEPT (pick-wt=5): 34 [] -transitivebinarypredicate(A)|isa(A,c_transitivebinarypredicate).
% 1.65/1.87 ** KEPT (pick-wt=5): 35 [] -isa(A,B)|collection(B).
% 1.65/1.87 Following clause subsumed by 35 during input processing: 0 [] -isa(A,B)|collection(B).
% 1.65/1.87 ** KEPT (pick-wt=5): 36 [] -isa(A,B)|thing(A).
% 1.65/1.87 Following clause subsumed by 36 during input processing: 0 [] -isa(A,B)|thing(A).
% 1.65/1.87 ** KEPT (pick-wt=9): 37 [] -isa(A,B)| -genls(B,C)|isa(A,C).
% 1.65/1.87 ** KEPT (pick-wt=7): 38 [] -mtvisible(A)| -genlmt(A,B)|mtvisible(B).
% 1.65/1.87 ** KEPT (pick-wt=5): 39 [] -genlmt(A,B)|microtheory(B).
% 1.65/1.87 Following clause subsumed by 39 during input processing: 0 [] -genlmt(A,B)|microtheory(B).
% 1.65/1.87 ** KEPT (pick-wt=5): 40 [] -genlmt(A,B)|microtheory(A).
% 1.65/1.87 Following clause subsumed by 40 during input processing: 0 [] -genlmt(A,B)|microtheory(A).
% 1.65/1.87 ** KEPT (pick-wt=9): 41 [] -genlmt(A,B)| -genlmt(B,C)|genlmt(A,C).
% 1.65/1.87 ** KEPT (pick-wt=5): 42 [] -microtheory(A)|genlmt(A,A).
% 1.65/1.87 Following clause subsumed by 42 during input processing: 0 [] -microtheory(A)|genlmt(A,A).
% 1.65/1.88 ** KEPT (pick-wt=5): 43 [] -resultisaarg(A,B)|positiveinteger(B).
% 1.65/1.88 ** KEPT (pick-wt=5): 44 [] -resultisaarg(A,B)|function_denotational(A).
% 1.65/1.88 ** KEPT (pick-wt=5): 45 [] -tptp_8_968(A,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)| -tptpcol_16_7738(A).
% 1.65/1.88
% 1.65/1.88 ------------> process sos:
% 1.65/1.88 ** KEPT (pick-wt=3): 46 [] resultisaarg(c_relationexistsallfn,n_3).
% 1.65/1.88 ** KEPT (pick-wt=3): 47 [] genlmt(c_knowledgefragmentd3mt,c_basekb).
% 1.65/1.88 ** KEPT (pick-wt=2): 48 [] transitivebinarypredicate(c_genlmt).
% 1.65/1.88 ** KEPT (pick-wt=3): 49 [] genlmt(c_basekb,c_universalvocabularymt).
% 1.65/1.88 ** KEPT (pick-wt=7): 50 [] relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)).
% 1.65/1.88 ** KEPT (pick-wt=6): 51 [] isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)).
% 1.65/1.88 ** KEPT (pick-wt=2): 52 [] subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804).
% 1.65/1.88 ** KEPT (pick-wt=6): 53 [] natfunction(f_subcollectionofwithrelationtotypefn(A,B,C),c_subcollectionofwithrelationtotypefn).
% 1.65/1.88 ** KEPT (pick-wt=7): 54 [] natargument(f_subcollectionofwithrelationtotypefn(A,B,C),n_1,A).
% 1.65/1.88 ** KEPT (pick-wt=7): 55 [] natargument(f_subcollectionofwithrelationtotypefn(A,B,C),n_2,B).
% 1.65/1.88 ** KEPT (pick-wt=7): 56 [] natargument(f_subcollectionofwithrelationtotypefn(A,B,C),n_3,C).
% 1.65/1.88 ** KEPT (pick-wt=5): 57 [] collection(f_subcollectionofwithrelationtotypefn(A,B,C)).
% 1.65/1.88 ** KEPT (pick-wt=2): 58 [] mtvisible(c_basekb).
% 1.65/1.88 ** KEPT (pick-wt=7): 59 [] natfunction(f_relationexistsallfn(A,B,C,D),c_relationexistsallfn).
% 1.65/1.88 ** KEPT (pick-wt=8): 60 [] natargument(f_relationexistsallfn(A,B,C,D),n_1,A).
% 1.65/1.88 ** KEPT (pick-wt=8): 61 [] natargument(f_relationexistsallfn(A,B,C,D),n_2,B).
% 1.65/1.88 ** KEPT (pick-wt=8): 62 [] natargument(f_relationexistsallfn(A,B,C,D),n_3,C).
% 1.65/1.88 ** KEPT (pick-wt=8): 63 [] natargument(f_relationexistsallfn(A,B,C,D),n_4,D).
% 1.65/1.88 ** KEPT (pick-wt=6): 64 [] thing(f_relationexistsallfn(A,B,C,D)).
% 1.65/1.88 ** KEPT (pick-wt=2): 65 [] mtvisible(c_universalvocabularymt).
% 1.65/1.88 ** KEPT (pick-wt=2): 66 [] mtvisible(c_knowledgefragmentd3mt).
% 1.65/1.88
% 1.65/1.88 ======= end of input processing =======
% 1.65/1.88
% 1.65/1.88 =========== start of search ===========
% 1.65/1.88
% 1.65/1.88 -------- PROOF --------
% 1.65/1.88
% 1.65/1.88 -----> EMPTY CLAUSE at 0.00 sec ----> 86 [hyper,85,45,82] $F.
% 1.65/1.88
% 1.65/1.88 Length of proof is 3. Level of proof is 2.
% 1.65/1.88
% 1.65/1.88 ---------------- PROOF ----------------
% 1.65/1.88 % SZS status Theorem
% 1.65/1.88 % SZS output start Refutation
% See solution above
% 1.65/1.88 ------------ end of proof -------------
% 1.65/1.88
% 1.65/1.88
% 1.65/1.88 Search stopped by max_proofs option.
% 1.65/1.88
% 1.65/1.88
% 1.65/1.88 Search stopped by max_proofs option.
% 1.65/1.88
% 1.65/1.88 ============ end of search ============
% 1.65/1.88
% 1.65/1.88 -------------- statistics -------------
% 1.65/1.88 clauses given 40
% 1.65/1.88 clauses generated 55
% 1.65/1.88 clauses kept 85
% 1.65/1.88 clauses forward subsumed 43
% 1.65/1.88 clauses back subsumed 0
% 1.65/1.88 Kbytes malloced 976
% 1.65/1.88
% 1.65/1.88 ----------- times (seconds) -----------
% 1.65/1.88 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.88 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.88 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.65/1.88
% 1.65/1.88 That finishes the proof of the theorem.
% 1.65/1.88
% 1.65/1.88 Process 19289 finished Wed Jul 27 04:36:30 2022
% 1.65/1.88 Otter interrupted
% 1.65/1.88 PROOF FOUND
%------------------------------------------------------------------------------