TSTP Solution File: CSR042+1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : CSR042+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 12:48:59 EDT 2022
% Result : Theorem 1.80s 1.98s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
file('CSR042+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ borderson(A,B)
| borderson(B,A) ),
file('CSR042+1.p',unknown),
[] ).
cnf(24,axiom,
~ borderson(A,c_georegion_l4_x27_y64),
file('CSR042+1.p',unknown),
[] ).
cnf(26,axiom,
mtvisible(c_tptpgeo_member7_mt),
file('CSR042+1.p',unknown),
[] ).
cnf(27,plain,
borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65),
inference(hyper,[status(thm)],[26,1]),
[iquote('hyper,26,1')] ).
cnf(28,plain,
borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64),
inference(hyper,[status(thm)],[27,22]),
[iquote('hyper,27,22')] ).
cnf(29,plain,
$false,
inference(binary,[status(thm)],[28,24]),
[iquote('binary,28.1,24.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR042+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % 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 04:35:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.80/1.97 ----- Otter 3.3f, August 2004 -----
% 1.80/1.97 The process was started by sandbox on n028.cluster.edu,
% 1.80/1.97 Wed Jul 27 04:35:03 2022
% 1.80/1.97 The command was "./otter". The process ID is 19065.
% 1.80/1.97
% 1.80/1.97 set(prolog_style_variables).
% 1.80/1.97 set(auto).
% 1.80/1.97 dependent: set(auto1).
% 1.80/1.97 dependent: set(process_input).
% 1.80/1.97 dependent: clear(print_kept).
% 1.80/1.97 dependent: clear(print_new_demod).
% 1.80/1.97 dependent: clear(print_back_demod).
% 1.80/1.97 dependent: clear(print_back_sub).
% 1.80/1.97 dependent: set(control_memory).
% 1.80/1.97 dependent: assign(max_mem, 12000).
% 1.80/1.97 dependent: assign(pick_given_ratio, 4).
% 1.80/1.97 dependent: assign(stats_level, 1).
% 1.80/1.97 dependent: assign(max_seconds, 10800).
% 1.80/1.97 clear(print_given).
% 1.80/1.97
% 1.80/1.97 formula_list(usable).
% 1.80/1.97 mtvisible(c_tptpgeo_member7_mt)->borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65).
% 1.80/1.97 all OBJ COL1 COL2 (-(isa(OBJ,COL1)&isa(OBJ,COL2)&disjointwith(COL1,COL2))).
% 1.80/1.97 all SPECPRED PRED GENLPRED (genlinverse(SPECPRED,PRED)&genlinverse(PRED,GENLPRED)->genlpreds(SPECPRED,GENLPRED)).
% 1.80/1.97 all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 1.80/1.97 all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 1.80/1.97 all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 1.80/1.97 all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 1.80/1.97 all X Y Z (genlpreds(X,Y)&genlpreds(Y,Z)->genlpreds(X,Z)).
% 1.80/1.97 all X (predicate(X)->genlpreds(X,X)).
% 1.80/1.97 all X (predicate(X)->genlpreds(X,X)).
% 1.80/1.97 all ARG1 INS (genlinverse(ARG1,INS)->binarypredicate(INS)).
% 1.80/1.97 all INS ARG2 (genlinverse(INS,ARG2)->binarypredicate(INS)).
% 1.80/1.97 all OLD ARG2 NEW (genlinverse(OLD,ARG2)&genlpreds(NEW,OLD)->genlinverse(NEW,ARG2)).
% 1.80/1.97 all ARG1 OLD NEW (genlinverse(ARG1,OLD)&genlpreds(OLD,NEW)->genlinverse(ARG1,NEW)).
% 1.80/1.97 all ARG1 INS (disjointwith(ARG1,INS)->collection(INS)).
% 1.80/1.97 all INS ARG2 (disjointwith(INS,ARG2)->collection(INS)).
% 1.80/1.97 all X Y (disjointwith(X,Y)->disjointwith(Y,X)).
% 1.80/1.97 all ARG1 OLD NEW (disjointwith(ARG1,OLD)&genls(NEW,OLD)->disjointwith(ARG1,NEW)).
% 1.80/1.97 all OLD ARG2 NEW (disjointwith(OLD,ARG2)&genls(NEW,OLD)->disjointwith(NEW,ARG2)).
% 1.80/1.97 all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 1.80/1.97 all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 1.80/1.97 all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 1.80/1.97 all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 1.80/1.97 all ARG1 OLD NEW (isa(ARG1,OLD)&genls(OLD,NEW)->isa(ARG1,NEW)).
% 1.80/1.97 mtvisible(c_basekb).
% 1.80/1.97 all ARG1 INS (borderson(ARG1,INS)->geographicalregion(INS)).
% 1.80/1.97 all INS ARG2 (borderson(INS,ARG2)->geographicalregion(INS)).
% 1.80/1.97 all X Y (borderson(X,Y)->borderson(Y,X)).
% 1.80/1.97 all X (-borderson(X,X)).
% 1.80/1.97 -(exists ARG1 (mtvisible(c_tptpgeo_member7_mt)->borderson(ARG1,c_georegion_l4_x27_y64))).
% 1.80/1.97 end_of_list.
% 1.80/1.97
% 1.80/1.97 -------> usable clausifies to:
% 1.80/1.97
% 1.80/1.97 list(usable).
% 1.80/1.97 0 [] -mtvisible(c_tptpgeo_member7_mt)|borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65).
% 1.80/1.97 0 [] -isa(OBJ,COL1)| -isa(OBJ,COL2)| -disjointwith(COL1,COL2).
% 1.80/1.97 0 [] -genlinverse(SPECPRED,PRED)| -genlinverse(PRED,GENLPRED)|genlpreds(SPECPRED,GENLPRED).
% 1.80/1.97 0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 1.80/1.97 0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 1.80/1.97 0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 1.80/1.97 0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 1.80/1.97 0 [] -genlpreds(X,Y)| -genlpreds(Y,Z)|genlpreds(X,Z).
% 1.80/1.97 0 [] -predicate(X)|genlpreds(X,X).
% 1.80/1.97 0 [] -predicate(X)|genlpreds(X,X).
% 1.80/1.97 0 [] -genlinverse(ARG1,INS)|binarypredicate(INS).
% 1.80/1.97 0 [] -genlinverse(INS,ARG2)|binarypredicate(INS).
% 1.80/1.97 0 [] -genlinverse(OLD,ARG2)| -genlpreds(NEW,OLD)|genlinverse(NEW,ARG2).
% 1.80/1.97 0 [] -genlinverse(ARG1,OLD)| -genlpreds(OLD,NEW)|genlinverse(ARG1,NEW).
% 1.80/1.97 0 [] -disjointwith(ARG1,INS)|collection(INS).
% 1.80/1.97 0 [] -disjointwith(INS,ARG2)|collection(INS).
% 1.80/1.97 0 [] -disjointwith(X,Y)|disjointwith(Y,X).
% 1.80/1.97 0 [] -disjointwith(ARG1,OLD)| -genls(NEW,OLD)|disjointwith(ARG1,NEW).
% 1.80/1.97 0 [] -disjointwith(OLD,ARG2)| -genls(NEW,OLD)|disjointwith(NEW,ARG2).
% 1.80/1.97 0 [] -isa(ARG1,INS)|collection(INS).
% 1.80/1.97 0 [] -isa(ARG1,INS)|collection(INS).
% 1.80/1.97 0 [] -isa(INS,ARG2)|thing(INS).
% 1.80/1.97 0 [] -isa(INS,ARG2)|thing(INS).
% 1.80/1.97 0 [] -isa(ARG1,OLD)| -genls(OLD,NEW)|isa(ARG1,NEW).
% 1.80/1.97 0 [] mtvisible(c_basekb).
% 1.80/1.97 0 [] -borderson(ARG1,INS)|geographicalregion(INS).
% 1.80/1.97 0 [] -borderson(INS,ARG2)|geographicalregion(INS).
% 1.80/1.97 0 [] -borderson(X,Y)|borderson(Y,X).
% 1.80/1.97 0 [] -borderson(X,X).
% 1.80/1.97 0 [] mtvisible(c_tptpgeo_member7_mt).
% 1.80/1.97 0 [] -borderson(ARG1,c_georegion_l4_x27_y64).
% 1.80/1.97 end_of_list.
% 1.80/1.97
% 1.80/1.97 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.80/1.97
% 1.80/1.97 This is a Horn set without equality. The strategy will
% 1.80/1.97 be hyperresolution, with satellites in sos and nuclei
% 1.80/1.97 in usable.
% 1.80/1.97
% 1.80/1.97 dependent: set(hyper_res).
% 1.80/1.97 dependent: clear(order_hyper).
% 1.80/1.97
% 1.80/1.97 ------------> process usable:
% 1.80/1.97 ** KEPT (pick-wt=5): 1 [] -mtvisible(c_tptpgeo_member7_mt)|borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65).
% 1.80/1.97 ** KEPT (pick-wt=9): 2 [] -isa(A,B)| -isa(A,C)| -disjointwith(B,C).
% 1.80/1.97 ** KEPT (pick-wt=9): 3 [] -genlinverse(A,B)| -genlinverse(B,C)|genlpreds(A,C).
% 1.80/1.97 ** KEPT (pick-wt=5): 4 [] -genlpreds(A,B)|predicate(B).
% 1.80/1.97 Following clause subsumed by 4 during input processing: 0 [] -genlpreds(A,B)|predicate(B).
% 1.80/1.97 ** KEPT (pick-wt=5): 5 [] -genlpreds(A,B)|predicate(A).
% 1.80/1.97 Following clause subsumed by 5 during input processing: 0 [] -genlpreds(A,B)|predicate(A).
% 1.80/1.97 ** KEPT (pick-wt=9): 6 [] -genlpreds(A,B)| -genlpreds(B,C)|genlpreds(A,C).
% 1.80/1.97 ** KEPT (pick-wt=5): 7 [] -predicate(A)|genlpreds(A,A).
% 1.80/1.97 Following clause subsumed by 7 during input processing: 0 [] -predicate(A)|genlpreds(A,A).
% 1.80/1.97 ** KEPT (pick-wt=5): 8 [] -genlinverse(A,B)|binarypredicate(B).
% 1.80/1.97 ** KEPT (pick-wt=5): 9 [] -genlinverse(A,B)|binarypredicate(A).
% 1.80/1.97 ** KEPT (pick-wt=9): 10 [] -genlinverse(A,B)| -genlpreds(C,A)|genlinverse(C,B).
% 1.80/1.97 ** KEPT (pick-wt=9): 11 [] -genlinverse(A,B)| -genlpreds(B,C)|genlinverse(A,C).
% 1.80/1.97 ** KEPT (pick-wt=5): 12 [] -disjointwith(A,B)|collection(B).
% 1.80/1.97 ** KEPT (pick-wt=5): 13 [] -disjointwith(A,B)|collection(A).
% 1.80/1.97 ** KEPT (pick-wt=6): 14 [] -disjointwith(A,B)|disjointwith(B,A).
% 1.80/1.97 ** KEPT (pick-wt=9): 15 [] -disjointwith(A,B)| -genls(C,B)|disjointwith(A,C).
% 1.80/1.97 ** KEPT (pick-wt=9): 16 [] -disjointwith(A,B)| -genls(C,A)|disjointwith(C,B).
% 1.80/1.97 ** KEPT (pick-wt=5): 17 [] -isa(A,B)|collection(B).
% 1.80/1.97 Following clause subsumed by 17 during input processing: 0 [] -isa(A,B)|collection(B).
% 1.80/1.97 ** KEPT (pick-wt=5): 18 [] -isa(A,B)|thing(A).
% 1.80/1.97 Following clause subsumed by 18 during input processing: 0 [] -isa(A,B)|thing(A).
% 1.80/1.97 ** KEPT (pick-wt=9): 19 [] -isa(A,B)| -genls(B,C)|isa(A,C).
% 1.80/1.97 ** KEPT (pick-wt=5): 20 [] -borderson(A,B)|geographicalregion(B).
% 1.80/1.97 ** KEPT (pick-wt=5): 21 [] -borderson(A,B)|geographicalregion(A).
% 1.80/1.98 ** KEPT (pick-wt=6): 22 [] -borderson(A,B)|borderson(B,A).
% 1.80/1.98 ** KEPT (pick-wt=3): 23 [] -borderson(A,A).
% 1.80/1.98 ** KEPT (pick-wt=3): 24 [] -borderson(A,c_georegion_l4_x27_y64).
% 1.80/1.98
% 1.80/1.98 ------------> process sos:
% 1.80/1.98 ** KEPT (pick-wt=2): 25 [] mtvisible(c_basekb).
% 1.80/1.98 ** KEPT (pick-wt=2): 26 [] mtvisible(c_tptpgeo_member7_mt).
% 1.80/1.98
% 1.80/1.98 ======= end of input processing =======
% 1.80/1.98
% 1.80/1.98 =========== start of search ===========
% 1.80/1.98
% 1.80/1.98 -------- PROOF --------
% 1.80/1.98
% 1.80/1.98 ----> UNIT CONFLICT at 0.00 sec ----> 29 [binary,28.1,24.1] $F.
% 1.80/1.98
% 1.80/1.98 Length of proof is 2. Level of proof is 2.
% 1.80/1.98
% 1.80/1.98 ---------------- PROOF ----------------
% 1.80/1.98 % SZS status Theorem
% 1.80/1.98 % SZS output start Refutation
% See solution above
% 1.80/1.98 ------------ end of proof -------------
% 1.80/1.98
% 1.80/1.98
% 1.80/1.98 Search stopped by max_proofs option.
% 1.80/1.98
% 1.80/1.98
% 1.80/1.98 Search stopped by max_proofs option.
% 1.80/1.98
% 1.80/1.98 ============ end of search ============
% 1.80/1.98
% 1.80/1.98 -------------- statistics -------------
% 1.80/1.98 clauses given 3
% 1.80/1.98 clauses generated 2
% 1.80/1.98 clauses kept 28
% 1.80/1.98 clauses forward subsumed 5
% 1.80/1.98 clauses back subsumed 1
% 1.80/1.98 Kbytes malloced 976
% 1.80/1.98
% 1.80/1.98 ----------- times (seconds) -----------
% 1.80/1.98 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.80/1.98 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.80/1.98 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.80/1.98
% 1.80/1.98 That finishes the proof of the theorem.
% 1.80/1.98
% 1.80/1.98 Process 19065 finished Wed Jul 27 04:35:05 2022
% 1.80/1.98 Otter interrupted
% 1.80/1.98 PROOF FOUND
%------------------------------------------------------------------------------