TSTP Solution File: KRS171+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS171+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 13:01:30 EDT 2022
% Result : Theorem 1.70s 1.91s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 7 unt; 10 nHn; 20 RR)
% Number of literals : 67 ( 0 equ; 29 neg)
% Maximal clause size : 6 ( 3 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 : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ cowlNothing(A),
file('KRS171+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
file('KRS171+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ rhasHead(A,B)
| rhasLeader(A,B) ),
file('KRS171+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ rhasLeader(A,B)
| rhasHead(A,B) ),
file('KRS171+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| rhasLeader(dollar_c4,dollar_c3)
| rhasHead(dollar_c4,dollar_c3) ),
file('KRS171+1.p',unknown),
[] ).
cnf(6,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| rhasLeader(dollar_c4,dollar_c3)
| rhasHead(dollar_c4,dollar_c3) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[5]),1]),
[iquote('copy,5,unit_del,1')] ).
cnf(7,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rhasLeader(dollar_c4,dollar_c3)
| ~ rhasHead(dollar_c4,dollar_c3) ),
file('KRS171+1.p',unknown),
[] ).
cnf(8,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rhasLeader(dollar_c4,dollar_c3)
| ~ rhasHead(dollar_c4,dollar_c3) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[7]),1]),
[iquote('copy,7,unit_del,1')] ).
cnf(9,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| rhasLeader(dollar_c4,dollar_c3)
| rhasHead(dollar_c4,dollar_c3) ),
file('KRS171+1.p',unknown),
[] ).
cnf(10,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| rhasLeader(dollar_c4,dollar_c3)
| rhasHead(dollar_c4,dollar_c3) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[9]),1]),
[iquote('copy,9,unit_del,1')] ).
cnf(11,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rhasLeader(dollar_c4,dollar_c3)
| ~ rhasHead(dollar_c4,dollar_c3) ),
file('KRS171+1.p',unknown),
[] ).
cnf(12,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rhasLeader(dollar_c4,dollar_c3)
| ~ rhasHead(dollar_c4,dollar_c3) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[11]),1]),
[iquote('copy,11,unit_del,1')] ).
cnf(13,axiom,
cowlThing(A),
file('KRS171+1.p',unknown),
[] ).
cnf(14,axiom,
( xsd_string(A)
| xsd_integer(A) ),
file('KRS171+1.p',unknown),
[] ).
cnf(15,plain,
( xsd_integer(dollar_c2)
| rhasLeader(dollar_c4,dollar_c3)
| rhasHead(dollar_c4,dollar_c3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[14,10,13])]),
[iquote('hyper,14,10,13,factor_simp')] ).
cnf(16,plain,
( rhasLeader(dollar_c4,dollar_c3)
| rhasHead(dollar_c4,dollar_c3)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[15,6,13])])]),
[iquote('hyper,15,6,13,factor_simp,factor_simp')] ).
cnf(17,plain,
( rhasLeader(dollar_c4,dollar_c3)
| rhasHead(dollar_c4,dollar_c3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[16,2,15])])]),
[iquote('hyper,16,2,15,factor_simp,factor_simp')] ).
cnf(18,plain,
rhasHead(dollar_c4,dollar_c3),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[17,4])]),
[iquote('hyper,17,4,factor_simp')] ).
cnf(19,plain,
rhasLeader(dollar_c4,dollar_c3),
inference(hyper,[status(thm)],[18,3]),
[iquote('hyper,18,3')] ).
cnf(20,plain,
xsd_integer(dollar_c2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[19,12,13,14,18])]),
[iquote('hyper,19,12,13,14,18,factor_simp')] ).
cnf(21,plain,
xsd_string(dollar_c2),
inference(hyper,[status(thm)],[20,8,13,19,18]),
[iquote('hyper,20,8,13,19,18')] ).
cnf(22,plain,
$false,
inference(hyper,[status(thm)],[21,2,20]),
[iquote('hyper,21,2,20')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS171+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 03:32:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.70/1.91 ----- Otter 3.3f, August 2004 -----
% 1.70/1.91 The process was started by sandbox on n022.cluster.edu,
% 1.70/1.91 Wed Jul 27 03:32:50 2022
% 1.70/1.91 The command was "./otter". The process ID is 27011.
% 1.70/1.91
% 1.70/1.91 set(prolog_style_variables).
% 1.70/1.91 set(auto).
% 1.70/1.91 dependent: set(auto1).
% 1.70/1.91 dependent: set(process_input).
% 1.70/1.91 dependent: clear(print_kept).
% 1.70/1.91 dependent: clear(print_new_demod).
% 1.70/1.91 dependent: clear(print_back_demod).
% 1.70/1.91 dependent: clear(print_back_sub).
% 1.70/1.91 dependent: set(control_memory).
% 1.70/1.91 dependent: assign(max_mem, 12000).
% 1.70/1.91 dependent: assign(pick_given_ratio, 4).
% 1.70/1.91 dependent: assign(stats_level, 1).
% 1.70/1.91 dependent: assign(max_seconds, 10800).
% 1.70/1.91 clear(print_given).
% 1.70/1.91
% 1.70/1.91 formula_list(usable).
% 1.70/1.91 all X (cowlThing(X)& -cowlNothing(X)).
% 1.70/1.91 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.70/1.91 all X Y (rhasHead(X,Y)->rhasLeader(X,Y)).
% 1.70/1.91 all X Y (rhasLeader(X,Y)->rhasHead(X,Y)).
% 1.70/1.91 -((all X (cowlThing(X)& -cowlNothing(X)))& (all X (xsd_string(X)<-> -xsd_integer(X)))& (all X Y (rhasLeader(X,Y)<->rhasHead(X,Y)))).
% 1.70/1.91 end_of_list.
% 1.70/1.91
% 1.70/1.91 -------> usable clausifies to:
% 1.70/1.91
% 1.70/1.91 list(usable).
% 1.70/1.91 0 [] cowlThing(X).
% 1.70/1.91 0 [] -cowlNothing(X).
% 1.70/1.91 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.70/1.91 0 [] xsd_string(X)|xsd_integer(X).
% 1.70/1.91 0 [] -rhasHead(X,Y)|rhasLeader(X,Y).
% 1.70/1.91 0 [] -rhasLeader(X,Y)|rhasHead(X,Y).
% 1.70/1.91 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|rhasLeader($c4,$c3)|rhasHead($c4,$c3).
% 1.70/1.91 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rhasLeader($c4,$c3)| -rhasHead($c4,$c3).
% 1.70/1.91 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|rhasLeader($c4,$c3)|rhasHead($c4,$c3).
% 1.70/1.91 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rhasLeader($c4,$c3)| -rhasHead($c4,$c3).
% 1.70/1.91 end_of_list.
% 1.70/1.91
% 1.70/1.91 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.70/1.91
% 1.70/1.91 This is a non-Horn set without equality. The strategy will
% 1.70/1.91 be ordered hyper_res, unit deletion, and factoring, with
% 1.70/1.91 satellites in sos and with nuclei in usable.
% 1.70/1.91
% 1.70/1.91 dependent: set(hyper_res).
% 1.70/1.91 dependent: set(factor).
% 1.70/1.91 dependent: set(unit_deletion).
% 1.70/1.91
% 1.70/1.91 ------------> process usable:
% 1.70/1.91 ** KEPT (pick-wt=2): 1 [] -cowlNothing(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 2 [] -xsd_string(A)| -xsd_integer(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 3 [] -rhasHead(A,B)|rhasLeader(A,B).
% 1.70/1.91 ** KEPT (pick-wt=6): 4 [] -rhasLeader(A,B)|rhasHead(A,B).
% 1.70/1.91 ** KEPT (pick-wt=12): 6 [copy,5,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|rhasLeader($c4,$c3)|rhasHead($c4,$c3).
% 1.70/1.91 ** KEPT (pick-wt=12): 8 [copy,7,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rhasLeader($c4,$c3)| -rhasHead($c4,$c3).
% 1.70/1.91 ** KEPT (pick-wt=12): 10 [copy,9,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|rhasLeader($c4,$c3)|rhasHead($c4,$c3).
% 1.70/1.91 ** KEPT (pick-wt=12): 12 [copy,11,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rhasLeader($c4,$c3)| -rhasHead($c4,$c3).
% 1.70/1.91
% 1.70/1.91 ------------> process sos:
% 1.70/1.91 ** KEPT (pick-wt=2): 13 [] cowlThing(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 14 [] xsd_string(A)|xsd_integer(A).
% 1.70/1.91
% 1.70/1.91 ======= end of input processing =======
% 1.70/1.91
% 1.70/1.91 =========== start of search ===========
% 1.70/1.91
% 1.70/1.91 -------- PROOF --------
% 1.70/1.91
% 1.70/1.91 -----> EMPTY CLAUSE at 0.00 sec ----> 22 [hyper,21,2,20] $F.
% 1.70/1.91
% 1.70/1.91 Length of proof is 11. Level of proof is 8.
% 1.70/1.91
% 1.70/1.91 ---------------- PROOF ----------------
% 1.70/1.91 % SZS status Theorem
% 1.70/1.91 % SZS output start Refutation
% See solution above
% 1.70/1.91 ------------ end of proof -------------
% 1.70/1.91
% 1.70/1.91
% 1.70/1.91 Search stopped by max_proofs option.
% 1.70/1.91
% 1.70/1.91
% 1.70/1.91 Search stopped by max_proofs option.
% 1.70/1.91
% 1.70/1.91 ============ end of search ============
% 1.70/1.91
% 1.70/1.91 -------------- statistics -------------
% 1.70/1.91 clauses given 9
% 1.70/1.91 clauses generated 11
% 1.70/1.91 clauses kept 17
% 1.70/1.91 clauses forward subsumed 3
% 1.70/1.91 clauses back subsumed 7
% 1.70/1.91 Kbytes malloced 976
% 1.70/1.91
% 1.70/1.91 ----------- times (seconds) -----------
% 1.70/1.91 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.91 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.70/1.91
% 1.70/1.91 That finishes the proof of the theorem.
% 1.70/1.91
% 1.70/1.91 Process 27011 finished Wed Jul 27 03:32:52 2022
% 1.70/1.91 Otter interrupted
% 1.70/1.91 PROOF FOUND
%------------------------------------------------------------------------------