TSTP Solution File: SWB023+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWB023+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 13:17:47 EDT 2022
% Result : Theorem 1.58s 1.80s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 20 ( 15 unt; 0 nHn; 18 RR)
% Number of literals : 30 ( 6 equ; 13 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ iext(uri_rdf_type,A,B)
| icext(B,A) ),
file('SWB023+2.p',unknown),
[] ).
cnf(4,axiom,
( ~ iext(uri_rdf_first,A,B)
| ~ iext(uri_rdf_rest,A,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,C,A)
| ~ icext(C,D)
| D = B ),
file('SWB023+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ icext(uri_owl_FunctionalProperty,A)
| ~ iext(A,B,C)
| ~ iext(A,B,D)
| C = D ),
file('SWB023+2.p',unknown),
[] ).
cnf(14,axiom,
( iext(uri_owl_sameAs,A,B)
| A != B ),
file('SWB023+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
file('SWB023+2.p',unknown),
[] ).
cnf(17,axiom,
A = A,
file('SWB023+2.p',unknown),
[] ).
cnf(18,axiom,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
file('SWB023+2.p',unknown),
[] ).
cnf(19,axiom,
iext(uri_rdf_type,uri_ex_w,dollar_c2),
file('SWB023+2.p',unknown),
[] ).
cnf(21,axiom,
iext(uri_owl_oneOf,dollar_c2,dollar_c1),
file('SWB023+2.p',unknown),
[] ).
cnf(22,axiom,
iext(uri_rdf_first,dollar_c1,uri_ex_u),
file('SWB023+2.p',unknown),
[] ).
cnf(23,axiom,
iext(uri_rdf_first,dollar_c1,uri_ex_v),
file('SWB023+2.p',unknown),
[] ).
cnf(24,axiom,
iext(uri_rdf_rest,dollar_c1,uri_rdf_nil),
file('SWB023+2.p',unknown),
[] ).
cnf(25,plain,
iext(uri_owl_sameAs,A,A),
inference(hyper,[status(thm)],[17,14]),
[iquote('hyper,17,14')] ).
cnf(26,plain,
icext(uri_owl_FunctionalProperty,uri_rdf_first),
inference(hyper,[status(thm)],[18,1]),
[iquote('hyper,18,1')] ).
cnf(46,plain,
icext(dollar_c2,uri_ex_w),
inference(hyper,[status(thm)],[19,1]),
[iquote('hyper,19,1')] ).
cnf(97,plain,
uri_ex_v = uri_ex_u,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[23,9,26,22])]),
[iquote('hyper,23,9,26,22,flip.1')] ).
cnf(98,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[15]),97])]),
[iquote('back_demod,15,demod,97,factor_simp')] ).
cnf(103,plain,
uri_ex_w = uri_ex_u,
inference(hyper,[status(thm)],[24,4,22,21,46]),
[iquote('hyper,24,4,22,21,46')] ).
cnf(105,plain,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[98]),103]),
[iquote('back_demod,98,demod,103')] ).
cnf(106,plain,
$false,
inference(binary,[status(thm)],[105,25]),
[iquote('binary,105.1,25.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB023+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 02:14:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.58/1.80 ----- Otter 3.3f, August 2004 -----
% 1.58/1.80 The process was started by sandbox2 on n007.cluster.edu,
% 1.58/1.80 Wed Jul 27 02:14:46 2022
% 1.58/1.80 The command was "./otter". The process ID is 3112.
% 1.58/1.80
% 1.58/1.80 set(prolog_style_variables).
% 1.58/1.80 set(auto).
% 1.58/1.80 dependent: set(auto1).
% 1.58/1.80 dependent: set(process_input).
% 1.58/1.80 dependent: clear(print_kept).
% 1.58/1.80 dependent: clear(print_new_demod).
% 1.58/1.80 dependent: clear(print_back_demod).
% 1.58/1.80 dependent: clear(print_back_sub).
% 1.58/1.80 dependent: set(control_memory).
% 1.58/1.80 dependent: assign(max_mem, 12000).
% 1.58/1.80 dependent: assign(pick_given_ratio, 4).
% 1.58/1.80 dependent: assign(stats_level, 1).
% 1.58/1.80 dependent: assign(max_seconds, 10800).
% 1.58/1.80 clear(print_given).
% 1.58/1.80
% 1.58/1.80 formula_list(usable).
% 1.58/1.80 all A (A=A).
% 1.58/1.80 all X C (iext(uri_rdf_type,X,C)<->icext(C,X)).
% 1.58/1.80 all Z S1 A1 (iext(uri_rdf_first,S1,A1)&iext(uri_rdf_rest,S1,uri_rdf_nil)-> (iext(uri_owl_oneOf,Z,S1)<->ic(Z)& (all X (icext(Z,X)<->X=A1)))).
% 1.58/1.80 all P (icext(uri_owl_FunctionalProperty,P)<->ip(P)& (all X Y1 Y2 (iext(P,X,Y1)&iext(P,X,Y2)->Y1=Y2))).
% 1.58/1.80 all X Y (iext(uri_owl_sameAs,X,Y)<->X=Y).
% 1.58/1.80 -(iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)&iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)).
% 1.58/1.80 exists BNODE_o BNODE_l (iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)&iext(uri_rdf_type,uri_ex_w,BNODE_o)&iext(uri_rdf_type,BNODE_o,uri_owl_Class)&iext(uri_owl_oneOf,BNODE_o,BNODE_l)&iext(uri_rdf_first,BNODE_l,uri_ex_u)&iext(uri_rdf_first,BNODE_l,uri_ex_v)&iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)).
% 1.58/1.80 end_of_list.
% 1.58/1.80
% 1.58/1.80 -------> usable clausifies to:
% 1.58/1.80
% 1.58/1.80 list(usable).
% 1.58/1.80 0 [] A=A.
% 1.58/1.80 0 [] -iext(uri_rdf_type,X,C)|icext(C,X).
% 1.58/1.80 0 [] iext(uri_rdf_type,X,C)| -icext(C,X).
% 1.58/1.80 0 [] -iext(uri_rdf_first,S1,A1)| -iext(uri_rdf_rest,S1,uri_rdf_nil)| -iext(uri_owl_oneOf,Z,S1)|ic(Z).
% 1.58/1.80 0 [] -iext(uri_rdf_first,S1,A1)| -iext(uri_rdf_rest,S1,uri_rdf_nil)| -iext(uri_owl_oneOf,Z,S1)| -icext(Z,X)|X=A1.
% 1.58/1.80 0 [] -iext(uri_rdf_first,S1,A1)| -iext(uri_rdf_rest,S1,uri_rdf_nil)| -iext(uri_owl_oneOf,Z,S1)|icext(Z,X)|X!=A1.
% 1.58/1.80 0 [] -iext(uri_rdf_first,S1,A1)| -iext(uri_rdf_rest,S1,uri_rdf_nil)|iext(uri_owl_oneOf,Z,S1)| -ic(Z)|icext(Z,$f1(Z,S1,A1))|$f1(Z,S1,A1)=A1.
% 1.58/1.80 0 [] -iext(uri_rdf_first,S1,A1)| -iext(uri_rdf_rest,S1,uri_rdf_nil)|iext(uri_owl_oneOf,Z,S1)| -ic(Z)| -icext(Z,$f1(Z,S1,A1))|$f1(Z,S1,A1)!=A1.
% 1.58/1.80 0 [] -icext(uri_owl_FunctionalProperty,P)|ip(P).
% 1.58/1.80 0 [] -icext(uri_owl_FunctionalProperty,P)| -iext(P,X,Y1)| -iext(P,X,Y2)|Y1=Y2.
% 1.58/1.80 0 [] icext(uri_owl_FunctionalProperty,P)| -ip(P)|iext(P,$f4(P),$f3(P)).
% 1.58/1.80 0 [] icext(uri_owl_FunctionalProperty,P)| -ip(P)|iext(P,$f4(P),$f2(P)).
% 1.58/1.80 0 [] icext(uri_owl_FunctionalProperty,P)| -ip(P)|$f3(P)!=$f2(P).
% 1.58/1.80 0 [] -iext(uri_owl_sameAs,X,Y)|X=Y.
% 1.58/1.80 0 [] iext(uri_owl_sameAs,X,Y)|X!=Y.
% 1.58/1.80 0 [] -iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)| -iext(uri_owl_sameAs,uri_ex_w,uri_ex_v).
% 1.58/1.80 0 [] iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty).
% 1.58/1.80 0 [] iext(uri_rdf_type,uri_ex_w,$c2).
% 1.58/1.80 0 [] iext(uri_rdf_type,$c2,uri_owl_Class).
% 1.58/1.80 0 [] iext(uri_owl_oneOf,$c2,$c1).
% 1.58/1.80 0 [] iext(uri_rdf_first,$c1,uri_ex_u).
% 1.58/1.80 0 [] iext(uri_rdf_first,$c1,uri_ex_v).
% 1.58/1.80 0 [] iext(uri_rdf_rest,$c1,uri_rdf_nil).
% 1.58/1.80 end_of_list.
% 1.58/1.80
% 1.58/1.80 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.58/1.80
% 1.58/1.80 This ia a non-Horn set with equality. The strategy will be
% 1.58/1.80 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.58/1.80 deletion, with positive clauses in sos and nonpositive
% 1.58/1.80 clauses in usable.
% 1.58/1.80
% 1.58/1.80 dependent: set(knuth_bendix).
% 1.58/1.80 dependent: set(anl_eq).
% 1.58/1.80 dependent: set(para_from).
% 1.58/1.80 dependent: set(para_into).
% 1.58/1.80 dependent: clear(para_from_right).
% 1.58/1.80 dependent: clear(para_into_right).
% 1.58/1.80 dependent: set(para_from_vars).
% 1.58/1.80 dependent: set(eq_units_both_ways).
% 1.58/1.80 dependent: set(dynamic_demod_all).
% 1.58/1.80 dependent: set(dynamic_demod).
% 1.58/1.80 dependent: set(order_eq).
% 1.58/1.80 dependent: set(back_demod).
% 1.58/1.80 dependent: set(lrpo).
% 1.58/1.80 dependent: set(hyper_res).
% 1.58/1.80 dependent: set(unit_deletion).
% 1.58/1.80 dependent: set(factor).
% 1.58/1.80
% 1.58/1.80 ------------> process usable:
% 1.58/1.80 ** KEPT (pick-wt=7): 1 [] -iext(uri_rdf_type,A,B)|icext(B,A).
% 1.58/1.80 ** KEPT (pick-wt=7): 2 [] iext(uri_rdf_type,A,B)| -icext(B,A).
% 1.58/1.80 ** KEPT (pick-wt=14): 3 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,uri_rdf_nil)| -iext(uri_owl_oneOf,C,A)|ic(C).
% 1.58/1.80 ** KEPT (pick-wt=18): 4 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,uri_rdf_nil)| -iext(uri_owl_oneOf,C,A)| -icext(C,D)|D=B.
% 1.58/1.80 ** KEPT (pick-wt=18): 5 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,uri_rdf_nil)| -iext(uri_owl_oneOf,C,A)|icext(C,D)|D!=B.
% 1.58/1.80 ** KEPT (pick-wt=26): 6 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,uri_rdf_nil)|iext(uri_owl_oneOf,C,A)| -ic(C)|icext(C,$f1(C,A,B))|$f1(C,A,B)=B.
% 1.58/1.80 ** KEPT (pick-wt=26): 7 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,uri_rdf_nil)|iext(uri_owl_oneOf,C,A)| -ic(C)| -icext(C,$f1(C,A,B))|$f1(C,A,B)!=B.
% 1.58/1.80 ** KEPT (pick-wt=5): 8 [] -icext(uri_owl_FunctionalProperty,A)|ip(A).
% 1.58/1.80 ** KEPT (pick-wt=14): 9 [] -icext(uri_owl_FunctionalProperty,A)| -iext(A,B,C)| -iext(A,B,D)|C=D.
% 1.58/1.80 ** KEPT (pick-wt=11): 10 [] icext(uri_owl_FunctionalProperty,A)| -ip(A)|iext(A,$f4(A),$f3(A)).
% 1.58/1.80 ** KEPT (pick-wt=11): 11 [] icext(uri_owl_FunctionalProperty,A)| -ip(A)|iext(A,$f4(A),$f2(A)).
% 1.58/1.80 ** KEPT (pick-wt=10): 12 [] icext(uri_owl_FunctionalProperty,A)| -ip(A)|$f3(A)!=$f2(A).
% 1.58/1.80 ** KEPT (pick-wt=7): 13 [] -iext(uri_owl_sameAs,A,B)|A=B.
% 1.58/1.80 ** KEPT (pick-wt=7): 14 [] iext(uri_owl_sameAs,A,B)|A!=B.
% 1.58/1.80 ** KEPT (pick-wt=8): 15 [] -iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)| -iext(uri_owl_sameAs,uri_ex_w,uri_ex_v).
% 1.58/1.80
% 1.58/1.80 ------------> process sos:
% 1.58/1.80 ** KEPT (pick-wt=3): 17 [] A=A.
% 1.58/1.80 ** KEPT (pick-wt=4): 18 [] iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty).
% 1.58/1.80 ** KEPT (pick-wt=4): 19 [] iext(uri_rdf_type,uri_ex_w,$c2).
% 1.58/1.80 ** KEPT (pick-wt=4): 20 [] iext(uri_rdf_type,$c2,uri_owl_Class).
% 1.58/1.80 ** KEPT (pick-wt=4): 21 [] iext(uri_owl_oneOf,$c2,$c1).
% 1.58/1.80 ** KEPT (pick-wt=4): 22 [] iext(uri_rdf_first,$c1,uri_ex_u).
% 1.58/1.80 ** KEPT (pick-wt=4): 23 [] iext(uri_rdf_first,$c1,uri_ex_v).
% 1.58/1.80 ** KEPT (pick-wt=4): 24 [] iext(uri_rdf_rest,$c1,uri_rdf_nil).
% 1.58/1.80 Following clause subsumed by 17 during input processing: 0 [copy,17,flip.1] A=A.
% 1.58/1.80 17 back subsumes 16.
% 1.58/1.80
% 1.58/1.80 ======= end of input processing =======
% 1.58/1.80
% 1.58/1.80 =========== start of search ===========
% 1.58/1.80
% 1.58/1.80 -------- PROOF --------
% 1.58/1.80
% 1.58/1.80 ----> UNIT CONFLICT at 0.00 sec ----> 106 [binary,105.1,25.1] $F.
% 1.58/1.80
% 1.58/1.80 Length of proof is 7. Level of proof is 4.
% 1.58/1.80
% 1.58/1.80 ---------------- PROOF ----------------
% 1.58/1.80 % SZS status Theorem
% 1.58/1.80 % SZS output start Refutation
% See solution above
% 1.58/1.80 ------------ end of proof -------------
% 1.58/1.80
% 1.58/1.80
% 1.58/1.80 Search stopped by max_proofs option.
% 1.58/1.80
% 1.58/1.80
% 1.58/1.80 Search stopped by max_proofs option.
% 1.58/1.80
% 1.58/1.80 ============ end of search ============
% 1.58/1.80
% 1.58/1.80 -------------- statistics -------------
% 1.58/1.80 clauses given 13
% 1.58/1.80 clauses generated 115
% 1.58/1.80 clauses kept 103
% 1.58/1.80 clauses forward subsumed 39
% 1.58/1.80 clauses back subsumed 1
% 1.58/1.80 Kbytes malloced 976
% 1.58/1.80
% 1.58/1.80 ----------- times (seconds) -----------
% 1.58/1.80 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.58/1.80 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.58/1.80 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.58/1.80
% 1.58/1.80 That finishes the proof of the theorem.
% 1.58/1.80
% 1.58/1.80 Process 3112 finished Wed Jul 27 02:14:47 2022
% 1.58/1.80 Otter interrupted
% 1.58/1.80 PROOF FOUND
%------------------------------------------------------------------------------