TSTP Solution File: CSR048+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : CSR048+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.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 12:49:06 EDT 2022
% Result : Theorem 1.77s 1.99s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 11 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
file('CSR048+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ mtvisible(A)
| ~ genlmt(A,B)
| mtvisible(B) ),
file('CSR048+1.p',unknown),
[] ).
cnf(29,axiom,
~ borderson(c_georegion_l4_x45_y9,A),
file('CSR048+1.p',unknown),
[] ).
cnf(30,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
file('CSR048+1.p',unknown),
[] ).
cnf(33,axiom,
mtvisible(c_tptpgeo_spindlecollectormt),
file('CSR048+1.p',unknown),
[] ).
cnf(36,plain,
mtvisible(c_tptpgeo_member1_mt),
inference(hyper,[status(thm)],[33,24,30]),
[iquote('hyper,33,24,30')] ).
cnf(39,plain,
borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10),
inference(hyper,[status(thm)],[36,1]),
[iquote('hyper,36,1')] ).
cnf(40,plain,
$false,
inference(binary,[status(thm)],[39,29]),
[iquote('binary,39.1,29.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CSR048+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n028.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 04:26:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.77/1.99 ----- Otter 3.3f, August 2004 -----
% 1.77/1.99 The process was started by sandbox on n028.cluster.edu,
% 1.77/1.99 Wed Jul 27 04:26:48 2022
% 1.77/1.99 The command was "./otter". The process ID is 5099.
% 1.77/1.99
% 1.77/1.99 set(prolog_style_variables).
% 1.77/1.99 set(auto).
% 1.77/1.99 dependent: set(auto1).
% 1.77/1.99 dependent: set(process_input).
% 1.77/1.99 dependent: clear(print_kept).
% 1.77/1.99 dependent: clear(print_new_demod).
% 1.77/1.99 dependent: clear(print_back_demod).
% 1.77/1.99 dependent: clear(print_back_sub).
% 1.77/1.99 dependent: set(control_memory).
% 1.77/1.99 dependent: assign(max_mem, 12000).
% 1.77/1.99 dependent: assign(pick_given_ratio, 4).
% 1.77/1.99 dependent: assign(stats_level, 1).
% 1.77/1.99 dependent: assign(max_seconds, 10800).
% 1.77/1.99 clear(print_given).
% 1.77/1.99
% 1.77/1.99 formula_list(usable).
% 1.77/1.99 genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt).
% 1.77/1.99 mtvisible(c_tptpgeo_member1_mt)->borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10).
% 1.77/1.99 all OBJ COL1 COL2 (-(isa(OBJ,COL1)&isa(OBJ,COL2)&disjointwith(COL1,COL2))).
% 1.77/1.99 all SPECPRED PRED GENLPRED (genlinverse(SPECPRED,PRED)&genlinverse(PRED,GENLPRED)->genlpreds(SPECPRED,GENLPRED)).
% 1.77/1.99 all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 1.77/1.99 all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 1.77/1.99 all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 1.77/1.99 all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 1.77/1.99 all X Y Z (genlpreds(X,Y)&genlpreds(Y,Z)->genlpreds(X,Z)).
% 1.77/1.99 all X (predicate(X)->genlpreds(X,X)).
% 1.77/1.99 all X (predicate(X)->genlpreds(X,X)).
% 1.77/1.99 all ARG1 INS (genlinverse(ARG1,INS)->binarypredicate(INS)).
% 1.77/1.99 all INS ARG2 (genlinverse(INS,ARG2)->binarypredicate(INS)).
% 1.77/1.99 all OLD ARG2 NEW (genlinverse(OLD,ARG2)&genlpreds(NEW,OLD)->genlinverse(NEW,ARG2)).
% 1.77/1.99 all ARG1 OLD NEW (genlinverse(ARG1,OLD)&genlpreds(OLD,NEW)->genlinverse(ARG1,NEW)).
% 1.77/1.99 all ARG1 INS (disjointwith(ARG1,INS)->collection(INS)).
% 1.77/1.99 all INS ARG2 (disjointwith(INS,ARG2)->collection(INS)).
% 1.77/1.99 all X Y (disjointwith(X,Y)->disjointwith(Y,X)).
% 1.77/1.99 all ARG1 OLD NEW (disjointwith(ARG1,OLD)&genls(NEW,OLD)->disjointwith(ARG1,NEW)).
% 1.77/1.99 all OLD ARG2 NEW (disjointwith(OLD,ARG2)&genls(NEW,OLD)->disjointwith(NEW,ARG2)).
% 1.77/1.99 all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 1.77/1.99 all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 1.77/1.99 all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 1.77/1.99 all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 1.77/1.99 all ARG1 OLD NEW (isa(ARG1,OLD)&genls(OLD,NEW)->isa(ARG1,NEW)).
% 1.77/1.99 mtvisible(c_basekb).
% 1.77/1.99 all ARG1 INS (borderson(ARG1,INS)->geographicalregion(INS)).
% 1.77/1.99 all INS ARG2 (borderson(INS,ARG2)->geographicalregion(INS)).
% 1.77/1.99 all X Y (borderson(X,Y)->borderson(Y,X)).
% 1.77/1.99 all X (-borderson(X,X)).
% 1.77/1.99 all SPECMT GENLMT (mtvisible(SPECMT)&genlmt(SPECMT,GENLMT)->mtvisible(GENLMT)).
% 1.77/1.99 all ARG1 INS (genlmt(ARG1,INS)->microtheory(INS)).
% 1.77/1.99 all ARG1 INS (genlmt(ARG1,INS)->microtheory(INS)).
% 1.77/1.99 all INS ARG2 (genlmt(INS,ARG2)->microtheory(INS)).
% 1.77/1.99 all INS ARG2 (genlmt(INS,ARG2)->microtheory(INS)).
% 1.77/1.99 all X Y Z (genlmt(X,Y)&genlmt(Y,Z)->genlmt(X,Z)).
% 1.77/1.99 all X (microtheory(X)->genlmt(X,X)).
% 1.77/1.99 all X (microtheory(X)->genlmt(X,X)).
% 1.77/1.99 mtvisible(c_universalvocabularymt).
% 1.77/1.99 -(exists ARG2 (mtvisible(c_tptpgeo_spindlecollectormt)->borderson(c_georegion_l4_x45_y9,ARG2))).
% 1.77/1.99 end_of_list.
% 1.77/1.99
% 1.77/1.99 -------> usable clausifies to:
% 1.77/1.99
% 1.77/1.99 list(usable).
% 1.77/1.99 0 [] genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt).
% 1.77/1.99 0 [] -mtvisible(c_tptpgeo_member1_mt)|borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10).
% 1.77/1.99 0 [] -isa(OBJ,COL1)| -isa(OBJ,COL2)| -disjointwith(COL1,COL2).
% 1.77/1.99 0 [] -genlinverse(SPECPRED,PRED)| -genlinverse(PRED,GENLPRED)|genlpreds(SPECPRED,GENLPRED).
% 1.77/1.99 0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 1.77/1.99 0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 1.77/1.99 0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 1.77/1.99 0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 1.77/1.99 0 [] -genlpreds(X,Y)| -genlpreds(Y,Z)|genlpreds(X,Z).
% 1.77/1.99 0 [] -predicate(X)|genlpreds(X,X).
% 1.77/1.99 0 [] -predicate(X)|genlpreds(X,X).
% 1.77/1.99 0 [] -genlinverse(ARG1,INS)|binarypredicate(INS).
% 1.77/1.99 0 [] -genlinverse(INS,ARG2)|binarypredicate(INS).
% 1.77/1.99 0 [] -genlinverse(OLD,ARG2)| -genlpreds(NEW,OLD)|genlinverse(NEW,ARG2).
% 1.77/1.99 0 [] -genlinverse(ARG1,OLD)| -genlpreds(OLD,NEW)|genlinverse(ARG1,NEW).
% 1.77/1.99 0 [] -disjointwith(ARG1,INS)|collection(INS).
% 1.77/1.99 0 [] -disjointwith(INS,ARG2)|collection(INS).
% 1.77/1.99 0 [] -disjointwith(X,Y)|disjointwith(Y,X).
% 1.77/1.99 0 [] -disjointwith(ARG1,OLD)| -genls(NEW,OLD)|disjointwith(ARG1,NEW).
% 1.77/1.99 0 [] -disjointwith(OLD,ARG2)| -genls(NEW,OLD)|disjointwith(NEW,ARG2).
% 1.77/1.99 0 [] -isa(ARG1,INS)|collection(INS).
% 1.77/1.99 0 [] -isa(ARG1,INS)|collection(INS).
% 1.77/1.99 0 [] -isa(INS,ARG2)|thing(INS).
% 1.77/1.99 0 [] -isa(INS,ARG2)|thing(INS).
% 1.77/1.99 0 [] -isa(ARG1,OLD)| -genls(OLD,NEW)|isa(ARG1,NEW).
% 1.77/1.99 0 [] mtvisible(c_basekb).
% 1.77/1.99 0 [] -borderson(ARG1,INS)|geographicalregion(INS).
% 1.77/1.99 0 [] -borderson(INS,ARG2)|geographicalregion(INS).
% 1.77/1.99 0 [] -borderson(X,Y)|borderson(Y,X).
% 1.77/1.99 0 [] -borderson(X,X).
% 1.77/1.99 0 [] -mtvisible(SPECMT)| -genlmt(SPECMT,GENLMT)|mtvisible(GENLMT).
% 1.77/1.99 0 [] -genlmt(ARG1,INS)|microtheory(INS).
% 1.77/1.99 0 [] -genlmt(ARG1,INS)|microtheory(INS).
% 1.77/1.99 0 [] -genlmt(INS,ARG2)|microtheory(INS).
% 1.77/1.99 0 [] -genlmt(INS,ARG2)|microtheory(INS).
% 1.77/1.99 0 [] -genlmt(X,Y)| -genlmt(Y,Z)|genlmt(X,Z).
% 1.77/1.99 0 [] -microtheory(X)|genlmt(X,X).
% 1.77/1.99 0 [] -microtheory(X)|genlmt(X,X).
% 1.77/1.99 0 [] mtvisible(c_universalvocabularymt).
% 1.77/1.99 0 [] mtvisible(c_tptpgeo_spindlecollectormt).
% 1.77/1.99 0 [] -borderson(c_georegion_l4_x45_y9,ARG2).
% 1.77/1.99 end_of_list.
% 1.77/1.99
% 1.77/1.99 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.77/1.99
% 1.77/1.99 This is a Horn set without equality. The strategy will
% 1.77/1.99 be hyperresolution, with satellites in sos and nuclei
% 1.77/1.99 in usable.
% 1.77/1.99
% 1.77/1.99 dependent: set(hyper_res).
% 1.77/1.99 dependent: clear(order_hyper).
% 1.77/1.99
% 1.77/1.99 ------------> process usable:
% 1.77/1.99 ** KEPT (pick-wt=5): 1 [] -mtvisible(c_tptpgeo_member1_mt)|borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10).
% 1.77/1.99 ** KEPT (pick-wt=9): 2 [] -isa(A,B)| -isa(A,C)| -disjointwith(B,C).
% 1.77/1.99 ** KEPT (pick-wt=9): 3 [] -genlinverse(A,B)| -genlinverse(B,C)|genlpreds(A,C).
% 1.77/1.99 ** KEPT (pick-wt=5): 4 [] -genlpreds(A,B)|predicate(B).
% 1.77/1.99 Following clause subsumed by 4 during input processing: 0 [] -genlpreds(A,B)|predicate(B).
% 1.77/1.99 ** KEPT (pick-wt=5): 5 [] -genlpreds(A,B)|predicate(A).
% 1.77/1.99 Following clause subsumed by 5 during input processing: 0 [] -genlpreds(A,B)|predicate(A).
% 1.77/1.99 ** KEPT (pick-wt=9): 6 [] -genlpreds(A,B)| -genlpreds(B,C)|genlpreds(A,C).
% 1.77/1.99 ** KEPT (pick-wt=5): 7 [] -predicate(A)|genlpreds(A,A).
% 1.77/1.99 Following clause subsumed by 7 during input processing: 0 [] -predicate(A)|genlpreds(A,A).
% 1.77/1.99 ** KEPT (pick-wt=5): 8 [] -genlinverse(A,B)|binarypredicate(B).
% 1.77/1.99 ** KEPT (pick-wt=5): 9 [] -genlinverse(A,B)|binarypredicate(A).
% 1.77/1.99 ** KEPT (pick-wt=9): 10 [] -genlinverse(A,B)| -genlpreds(C,A)|genlinverse(C,B).
% 1.77/1.99 ** KEPT (pick-wt=9): 11 [] -genlinverse(A,B)| -genlpreds(B,C)|genlinverse(A,C).
% 1.77/1.99 ** KEPT (pick-wt=5): 12 [] -disjointwith(A,B)|collection(B).
% 1.77/1.99 ** KEPT (pick-wt=5): 13 [] -disjointwith(A,B)|collection(A).
% 1.77/1.99 ** KEPT (pick-wt=6): 14 [] -disjointwith(A,B)|disjointwith(B,A).
% 1.77/1.99 ** KEPT (pick-wt=9): 15 [] -disjointwith(A,B)| -genls(C,B)|disjointwith(A,C).
% 1.77/1.99 ** KEPT (pick-wt=9): 16 [] -disjointwith(A,B)| -genls(C,A)|disjointwith(C,B).
% 1.77/1.99 ** KEPT (pick-wt=5): 17 [] -isa(A,B)|collection(B).
% 1.77/1.99 Following clause subsumed by 17 during input processing: 0 [] -isa(A,B)|collection(B).
% 1.77/1.99 ** KEPT (pick-wt=5): 18 [] -isa(A,B)|thing(A).
% 1.77/1.99 Following clause subsumed by 18 during input processing: 0 [] -isa(A,B)|thing(A).
% 1.77/1.99 ** KEPT (pick-wt=9): 19 [] -isa(A,B)| -genls(B,C)|isa(A,C).
% 1.77/1.99 ** KEPT (pick-wt=5): 20 [] -borderson(A,B)|geographicalregion(B).
% 1.77/1.99 ** KEPT (pick-wt=5): 21 [] -borderson(A,B)|geographicalregion(A).
% 1.77/1.99 ** KEPT (pick-wt=6): 22 [] -borderson(A,B)|borderson(B,A).
% 1.77/1.99 ** KEPT (pick-wt=3): 23 [] -borderson(A,A).
% 1.77/1.99 ** KEPT (pick-wt=7): 24 [] -mtvisible(A)| -genlmt(A,B)|mtvisible(B).
% 1.77/1.99 ** KEPT (pick-wt=5): 25 [] -genlmt(A,B)|microtheory(B).
% 1.77/1.99 Following clause subsumed by 25 during input processing: 0 [] -genlmt(A,B)|microtheory(B).
% 1.77/1.99 ** KEPT (pick-wt=5): 26 [] -genlmt(A,B)|microtheory(A).
% 1.77/1.99 Following clause subsumed by 26 during input processing: 0 [] -genlmt(A,B)|microtheory(A).
% 1.77/1.99 ** KEPT (pick-wt=9): 27 [] -genlmt(A,B)| -genlmt(B,C)|genlmt(A,C).
% 1.77/1.99 ** KEPT (pick-wt=5): 28 [] -microtheory(A)|genlmt(A,A).
% 1.77/1.99 Following clause subsumed by 28 during input processing: 0 [] -microtheory(A)|genlmt(A,A).
% 1.77/1.99 ** KEPT (pick-wt=3): 29 [] -borderson(c_georegion_l4_x45_y9,A).
% 1.77/1.99
% 1.77/1.99 ------------> process sos:
% 1.77/1.99 ** KEPT (pick-wt=3): 30 [] genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt).
% 1.77/1.99 ** KEPT (pick-wt=2): 31 [] mtvisible(c_basekb).
% 1.77/1.99 ** KEPT (pick-wt=2): 32 [] mtvisible(c_universalvocabularymt).
% 1.77/1.99 ** KEPT (pick-wt=2): 33 [] mtvisible(c_tptpgeo_spindlecollectormt).
% 1.77/1.99
% 1.77/1.99 ======= end of input processing =======
% 1.77/1.99
% 1.77/1.99 =========== start of search ===========
% 1.77/1.99
% 1.77/1.99 -------- PROOF --------
% 1.77/1.99
% 1.77/1.99 ----> UNIT CONFLICT at 0.00 sec ----> 40 [binary,39.1,29.1] $F.
% 1.77/1.99
% 1.77/1.99 Length of proof is 2. Level of proof is 2.
% 1.77/1.99
% 1.77/1.99 ---------------- PROOF ----------------
% 1.77/1.99 % SZS status Theorem
% 1.77/1.99 % SZS output start Refutation
% See solution above
% 1.77/1.99 ------------ end of proof -------------
% 1.77/1.99
% 1.77/1.99
% 1.77/1.99 Search stopped by max_proofs option.
% 1.77/1.99
% 1.77/1.99
% 1.77/1.99 Search stopped by max_proofs option.
% 1.77/1.99
% 1.77/1.99 ============ end of search ============
% 1.77/1.99
% 1.77/1.99 -------------- statistics -------------
% 1.77/1.99 clauses given 7
% 1.77/1.99 clauses generated 6
% 1.77/1.99 clauses kept 39
% 1.77/1.99 clauses forward subsumed 8
% 1.77/1.99 clauses back subsumed 0
% 1.77/1.99 Kbytes malloced 976
% 1.77/1.99
% 1.77/1.99 ----------- times (seconds) -----------
% 1.77/1.99 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.99 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.99 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.77/1.99
% 1.77/1.99 That finishes the proof of the theorem.
% 1.77/1.99
% 1.77/1.99 Process 5099 finished Wed Jul 27 04:26:50 2022
% 1.77/1.99 Otter interrupted
% 1.77/1.99 PROOF FOUND
%------------------------------------------------------------------------------