TSTP Solution File: KRS134+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS134+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 13:01:24 EDT 2022
% Result : Theorem 1.91s 2.10s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 20 ( 7 unt; 9 nHn; 18 RR)
% Number of literals : 53 ( 0 equ; 24 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 6 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ cowlNothing(A),
file('KRS134+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
file('KRS134+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ rprop(A,B)
| cA(B) ),
file('KRS134+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| rprop(dollar_c4,dollar_c3) ),
file('KRS134+1.p',unknown),
[] ).
cnf(7,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| rprop(dollar_c4,dollar_c3) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[6]),1]),
[iquote('copy,6,unit_del,1')] ).
cnf(8,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ cA(dollar_c3) ),
file('KRS134+1.p',unknown),
[] ).
cnf(9,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ cA(dollar_c3) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[8]),1]),
[iquote('copy,8,unit_del,1')] ).
cnf(12,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| rprop(dollar_c4,dollar_c3) ),
file('KRS134+1.p',unknown),
[] ).
cnf(13,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| rprop(dollar_c4,dollar_c3) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[12]),1]),
[iquote('copy,12,unit_del,1')] ).
cnf(14,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cA(dollar_c3) ),
file('KRS134+1.p',unknown),
[] ).
cnf(15,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cA(dollar_c3) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[14]),1]),
[iquote('copy,14,unit_del,1')] ).
cnf(16,axiom,
cowlThing(A),
file('KRS134+1.p',unknown),
[] ).
cnf(17,axiom,
( xsd_string(A)
| xsd_integer(A) ),
file('KRS134+1.p',unknown),
[] ).
cnf(18,plain,
( xsd_integer(dollar_c2)
| rprop(dollar_c4,dollar_c3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[17,13,16])]),
[iquote('hyper,17,13,16,factor_simp')] ).
cnf(19,plain,
( rprop(dollar_c4,dollar_c3)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[18,7,16])]),
[iquote('hyper,18,7,16,factor_simp')] ).
cnf(20,plain,
rprop(dollar_c4,dollar_c3),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[19,2,18])]),
[iquote('hyper,19,2,18,factor_simp')] ).
cnf(21,plain,
cA(dollar_c3),
inference(hyper,[status(thm)],[20,3]),
[iquote('hyper,20,3')] ).
cnf(22,plain,
xsd_integer(dollar_c2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[21,15,16,17])]),
[iquote('hyper,21,15,16,17,factor_simp')] ).
cnf(23,plain,
xsd_string(dollar_c2),
inference(hyper,[status(thm)],[22,9,16,21]),
[iquote('hyper,22,9,16,21')] ).
cnf(24,plain,
$false,
inference(hyper,[status(thm)],[23,2,22]),
[iquote('hyper,23,2,22')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS134+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n026.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 03:41:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.91/2.10 ----- Otter 3.3f, August 2004 -----
% 1.91/2.10 The process was started by sandbox on n026.cluster.edu,
% 1.91/2.10 Wed Jul 27 03:41:24 2022
% 1.91/2.10 The command was "./otter". The process ID is 8579.
% 1.91/2.10
% 1.91/2.10 set(prolog_style_variables).
% 1.91/2.10 set(auto).
% 1.91/2.10 dependent: set(auto1).
% 1.91/2.10 dependent: set(process_input).
% 1.91/2.10 dependent: clear(print_kept).
% 1.91/2.10 dependent: clear(print_new_demod).
% 1.91/2.10 dependent: clear(print_back_demod).
% 1.91/2.10 dependent: clear(print_back_sub).
% 1.91/2.10 dependent: set(control_memory).
% 1.91/2.10 dependent: assign(max_mem, 12000).
% 1.91/2.10 dependent: assign(pick_given_ratio, 4).
% 1.91/2.10 dependent: assign(stats_level, 1).
% 1.91/2.10 dependent: assign(max_seconds, 10800).
% 1.91/2.10 clear(print_given).
% 1.91/2.10
% 1.91/2.10 formula_list(usable).
% 1.91/2.10 all X (cowlThing(X)& -cowlNothing(X)).
% 1.91/2.10 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.91/2.10 all X Y (rprop(X,Y)->cA(Y)).
% 1.91/2.10 -((all X (cowlThing(X)& -cowlNothing(X)))& (all X (xsd_string(X)<-> -xsd_integer(X)))& (all X (cowlThing(X)-> (all Y (rprop(X,Y)->cA(Y)))))).
% 1.91/2.10 end_of_list.
% 1.91/2.10
% 1.91/2.10 -------> usable clausifies to:
% 1.91/2.10
% 1.91/2.10 list(usable).
% 1.91/2.10 0 [] cowlThing(X).
% 1.91/2.10 0 [] -cowlNothing(X).
% 1.91/2.10 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.91/2.10 0 [] xsd_string(X)|xsd_integer(X).
% 1.91/2.10 0 [] -rprop(X,Y)|cA(Y).
% 1.91/2.10 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|cowlThing($c4).
% 1.91/2.10 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|rprop($c4,$c3).
% 1.91/2.10 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cA($c3).
% 1.91/2.10 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|cowlThing($c4).
% 1.91/2.10 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|rprop($c4,$c3).
% 1.91/2.10 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cA($c3).
% 1.91/2.10 end_of_list.
% 1.91/2.10
% 1.91/2.10 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 1.91/2.10
% 1.91/2.10 This is a non-Horn set without equality. The strategy will
% 1.91/2.10 be ordered hyper_res, unit deletion, and factoring, with
% 1.91/2.10 satellites in sos and with nuclei in usable.
% 1.91/2.10
% 1.91/2.10 dependent: set(hyper_res).
% 1.91/2.10 dependent: set(factor).
% 1.91/2.10 dependent: set(unit_deletion).
% 1.91/2.10
% 1.91/2.10 ------------> process usable:
% 1.91/2.10 ** KEPT (pick-wt=2): 1 [] -cowlNothing(A).
% 1.91/2.10 ** KEPT (pick-wt=4): 2 [] -xsd_string(A)| -xsd_integer(A).
% 1.91/2.10 ** KEPT (pick-wt=5): 3 [] -rprop(A,B)|cA(B).
% 1.91/2.10 ** KEPT (pick-wt=8): 5 [copy,4,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|cowlThing($c4).
% 1.91/2.10 ** KEPT (pick-wt=9): 7 [copy,6,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|rprop($c4,$c3).
% 1.91/2.10 ** KEPT (pick-wt=8): 9 [copy,8,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cA($c3).
% 1.91/2.10 ** KEPT (pick-wt=8): 11 [copy,10,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|cowlThing($c4).
% 1.91/2.10 ** KEPT (pick-wt=9): 13 [copy,12,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|rprop($c4,$c3).
% 1.91/2.10 ** KEPT (pick-wt=8): 15 [copy,14,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cA($c3).
% 1.91/2.10
% 1.91/2.10 ------------> process sos:
% 1.91/2.10 ** KEPT (pick-wt=2): 16 [] cowlThing(A).
% 1.91/2.10 ** KEPT (pick-wt=4): 17 [] xsd_string(A)|xsd_integer(A).
% 1.91/2.10 16 back subsumes 11.
% 1.91/2.10 16 back subsumes 5.
% 1.91/2.10
% 1.91/2.10 ======= end of input processing =======
% 1.91/2.10
% 1.91/2.10 =========== start of search ===========
% 1.91/2.10
% 1.91/2.10 -------- PROOF --------
% 1.91/2.10
% 1.91/2.10 -----> EMPTY CLAUSE at 0.00 sec ----> 24 [hyper,23,2,22] $F.
% 1.91/2.10
% 1.91/2.10 Length of proof is 10. Level of proof is 7.
% 1.91/2.10
% 1.91/2.10 ---------------- PROOF ----------------
% 1.91/2.10 % SZS status Theorem
% 1.91/2.10 % SZS output start Refutation
% See solution above
% 1.91/2.10 ------------ end of proof -------------
% 1.91/2.10
% 1.91/2.10
% 1.91/2.10 Search stopped by max_proofs option.
% 1.91/2.10
% 1.91/2.10
% 1.91/2.10 Search stopped by max_proofs option.
% 1.91/2.10
% 1.91/2.10 ============ end of search ============
% 1.91/2.10
% 1.91/2.10 -------------- statistics -------------
% 1.91/2.10 clauses given 8
% 1.91/2.10 clauses generated 9
% 1.91/2.10 clauses kept 17
% 1.91/2.10 clauses forward subsumed 2
% 1.91/2.10 clauses back subsumed 8
% 1.91/2.10 Kbytes malloced 976
% 1.91/2.10
% 1.91/2.10 ----------- times (seconds) -----------
% 1.91/2.10 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.91/2.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.91/2.10 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.91/2.10
% 1.91/2.10 That finishes the proof of the theorem.
% 1.91/2.10
% 1.91/2.10 Process 8579 finished Wed Jul 27 03:41:25 2022
% 1.91/2.10 Otter interrupted
% 1.91/2.10 PROOF FOUND
%------------------------------------------------------------------------------