TSTP Solution File: KRS169+1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS169+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 1.67s 1.89s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 7 unt; 3 nHn; 12 RR)
% Number of literals : 39 ( 0 equ; 24 neg)
% Maximal clause size : 7 ( 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 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ cowlNothing(A),
file('KRS169+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
file('KRS169+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ rhasLeader(A,B)
| rhasHead(A,B) ),
file('KRS169+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
file('KRS169+1.p',unknown),
[] ).
cnf(6,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
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)
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
file('KRS169+1.p',unknown),
[] ).
cnf(8,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[7]),1]),
[iquote('copy,7,unit_del,1')] ).
cnf(9,axiom,
cowlThing(A),
file('KRS169+1.p',unknown),
[] ).
cnf(10,axiom,
( xsd_string(A)
| xsd_integer(A) ),
file('KRS169+1.p',unknown),
[] ).
cnf(11,axiom,
rhasLeader(iX,iY),
file('KRS169+1.p',unknown),
[] ).
cnf(12,plain,
rhasHead(iX,iY),
inference(hyper,[status(thm)],[11,3]),
[iquote('hyper,11,3')] ).
cnf(13,plain,
xsd_integer(dollar_c2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[10,8,9,9,12,9])]),
[iquote('hyper,10,8,9,9,12,9,factor_simp')] ).
cnf(14,plain,
xsd_string(dollar_c2),
inference(hyper,[status(thm)],[13,6,9,9,12,9]),
[iquote('hyper,13,6,9,9,12,9')] ).
cnf(15,plain,
$false,
inference(hyper,[status(thm)],[14,2,13]),
[iquote('hyper,14,2,13')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS169+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n004.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 03:25:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.67/1.89 ----- Otter 3.3f, August 2004 -----
% 1.67/1.89 The process was started by sandbox2 on n004.cluster.edu,
% 1.67/1.89 Wed Jul 27 03:25:06 2022
% 1.67/1.89 The command was "./otter". The process ID is 6046.
% 1.67/1.89
% 1.67/1.89 set(prolog_style_variables).
% 1.67/1.89 set(auto).
% 1.67/1.89 dependent: set(auto1).
% 1.67/1.89 dependent: set(process_input).
% 1.67/1.89 dependent: clear(print_kept).
% 1.67/1.89 dependent: clear(print_new_demod).
% 1.67/1.89 dependent: clear(print_back_demod).
% 1.67/1.89 dependent: clear(print_back_sub).
% 1.67/1.89 dependent: set(control_memory).
% 1.67/1.89 dependent: assign(max_mem, 12000).
% 1.67/1.89 dependent: assign(pick_given_ratio, 4).
% 1.67/1.89 dependent: assign(stats_level, 1).
% 1.67/1.89 dependent: assign(max_seconds, 10800).
% 1.67/1.89 clear(print_given).
% 1.67/1.89
% 1.67/1.89 formula_list(usable).
% 1.67/1.89 all X (cowlThing(X)& -cowlNothing(X)).
% 1.67/1.89 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.67/1.89 cowlThing(iX).
% 1.67/1.89 rhasLeader(iX,iY).
% 1.67/1.89 cowlThing(iY).
% 1.67/1.89 all X Y (rhasLeader(X,Y)<->rhasHead(X,Y)).
% 1.67/1.89 -((all X (cowlThing(X)& -cowlNothing(X)))& (all X (xsd_string(X)<-> -xsd_integer(X)))&cowlThing(iX)&rhasHead(iX,iY)&cowlThing(iY)).
% 1.67/1.89 end_of_list.
% 1.67/1.89
% 1.67/1.89 -------> usable clausifies to:
% 1.67/1.89
% 1.67/1.89 list(usable).
% 1.67/1.89 0 [] cowlThing(X).
% 1.67/1.89 0 [] -cowlNothing(X).
% 1.67/1.89 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.67/1.89 0 [] xsd_string(X)|xsd_integer(X).
% 1.67/1.89 0 [] cowlThing(iX).
% 1.67/1.89 0 [] rhasLeader(iX,iY).
% 1.67/1.89 0 [] cowlThing(iY).
% 1.67/1.89 0 [] -rhasLeader(X,Y)|rhasHead(X,Y).
% 1.67/1.89 0 [] rhasLeader(X,Y)| -rhasHead(X,Y).
% 1.67/1.89 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cowlThing(iX)| -rhasHead(iX,iY)| -cowlThing(iY).
% 1.67/1.89 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cowlThing(iX)| -rhasHead(iX,iY)| -cowlThing(iY).
% 1.67/1.89 end_of_list.
% 1.67/1.89
% 1.67/1.89 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=7.
% 1.67/1.89
% 1.67/1.89 This is a non-Horn set without equality. The strategy will
% 1.67/1.89 be ordered hyper_res, unit deletion, and factoring, with
% 1.67/1.89 satellites in sos and with nuclei in usable.
% 1.67/1.89
% 1.67/1.89 dependent: set(hyper_res).
% 1.67/1.89 dependent: set(factor).
% 1.67/1.89 dependent: set(unit_deletion).
% 1.67/1.89
% 1.67/1.89 ------------> process usable:
% 1.67/1.89 ** KEPT (pick-wt=2): 1 [] -cowlNothing(A).
% 1.67/1.89 ** KEPT (pick-wt=4): 2 [] -xsd_string(A)| -xsd_integer(A).
% 1.67/1.89 ** KEPT (pick-wt=6): 3 [] -rhasLeader(A,B)|rhasHead(A,B).
% 1.67/1.89 ** KEPT (pick-wt=6): 4 [] rhasLeader(A,B)| -rhasHead(A,B).
% 1.67/1.89 ** KEPT (pick-wt=13): 6 [copy,5,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cowlThing(iX)| -rhasHead(iX,iY)| -cowlThing(iY).
% 1.67/1.89 ** KEPT (pick-wt=13): 8 [copy,7,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cowlThing(iX)| -rhasHead(iX,iY)| -cowlThing(iY).
% 1.67/1.89
% 1.67/1.89 ------------> process sos:
% 1.67/1.89 ** KEPT (pick-wt=2): 9 [] cowlThing(A).
% 1.67/1.89 ** KEPT (pick-wt=4): 10 [] xsd_string(A)|xsd_integer(A).
% 1.67/1.89 Following clause subsumed by 9 during input processing: 0 [] cowlThing(iX).
% 1.67/1.89 ** KEPT (pick-wt=3): 11 [] rhasLeader(iX,iY).
% 1.67/1.89 Following clause subsumed by 9 during input processing: 0 [] cowlThing(iY).
% 1.67/1.89
% 1.67/1.89 ======= end of input processing =======
% 1.67/1.89
% 1.67/1.89 =========== start of search ===========
% 1.67/1.89
% 1.67/1.89 -------- PROOF --------
% 1.67/1.89
% 1.67/1.89 -----> EMPTY CLAUSE at 0.00 sec ----> 15 [hyper,14,2,13] $F.
% 1.67/1.89
% 1.67/1.89 Length of proof is 5. Level of proof is 3.
% 1.67/1.89
% 1.67/1.89 ---------------- PROOF ----------------
% 1.67/1.89 % SZS status Theorem
% 1.67/1.89 % SZS output start Refutation
% See solution above
% 1.67/1.89 ------------ end of proof -------------
% 1.67/1.89
% 1.67/1.89
% 1.67/1.89 Search stopped by max_proofs option.
% 1.67/1.89
% 1.67/1.89
% 1.67/1.89 Search stopped by max_proofs option.
% 1.67/1.89
% 1.67/1.89 ============ end of search ============
% 1.67/1.89
% 1.67/1.89 -------------- statistics -------------
% 1.67/1.89 clauses given 6
% 1.67/1.89 clauses generated 6
% 1.67/1.89 clauses kept 12
% 1.67/1.89 clauses forward subsumed 4
% 1.67/1.89 clauses back subsumed 2
% 1.67/1.89 Kbytes malloced 976
% 1.67/1.89
% 1.67/1.89 ----------- times (seconds) -----------
% 1.67/1.89 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.89 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.89 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.67/1.89
% 1.67/1.89 That finishes the proof of the theorem.
% 1.67/1.89
% 1.67/1.89 Process 6046 finished Wed Jul 27 03:25:07 2022
% 1.67/1.89 Otter interrupted
% 1.67/1.89 PROOF FOUND
%------------------------------------------------------------------------------