TSTP Solution File: KRS165+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS165+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 13:01:29 EDT 2022
% Result : Theorem 1.67s 1.88s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of clauses : 37 ( 9 unt; 23 nHn; 35 RR)
% Number of literals : 123 ( 0 equ; 53 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 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('KRS165+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
file('KRS165+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ cCar(A)
| cAutomobile(A) ),
file('KRS165+1.p',unknown),
[] ).
cnf(4,axiom,
( cCar(A)
| ~ cAutomobile(A) ),
file('KRS165+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cAutomobile(dollar_c3)
| cCar(dollar_c4) ),
file('KRS165+1.p',unknown),
[] ).
cnf(6,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cAutomobile(dollar_c3)
| cCar(dollar_c4) ),
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)
| cAutomobile(dollar_c3)
| ~ cAutomobile(dollar_c4) ),
file('KRS165+1.p',unknown),
[] ).
cnf(8,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cAutomobile(dollar_c3)
| ~ cAutomobile(dollar_c4) ),
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)
| ~ cCar(dollar_c3)
| cCar(dollar_c4) ),
file('KRS165+1.p',unknown),
[] ).
cnf(10,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ cCar(dollar_c3)
| cCar(dollar_c4) ),
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)
| ~ cCar(dollar_c3)
| ~ cAutomobile(dollar_c4) ),
file('KRS165+1.p',unknown),
[] ).
cnf(12,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ cCar(dollar_c3)
| ~ cAutomobile(dollar_c4) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[11]),1]),
[iquote('copy,11,unit_del,1')] ).
cnf(13,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cAutomobile(dollar_c3)
| cCar(dollar_c4) ),
file('KRS165+1.p',unknown),
[] ).
cnf(14,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cAutomobile(dollar_c3)
| cCar(dollar_c4) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[13]),1]),
[iquote('copy,13,unit_del,1')] ).
cnf(15,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cAutomobile(dollar_c3)
| ~ cAutomobile(dollar_c4) ),
file('KRS165+1.p',unknown),
[] ).
cnf(16,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cAutomobile(dollar_c3)
| ~ cAutomobile(dollar_c4) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[15]),1]),
[iquote('copy,15,unit_del,1')] ).
cnf(17,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cCar(dollar_c3)
| cCar(dollar_c4) ),
file('KRS165+1.p',unknown),
[] ).
cnf(18,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cCar(dollar_c3)
| cCar(dollar_c4) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[17]),1]),
[iquote('copy,17,unit_del,1')] ).
cnf(19,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cCar(dollar_c3)
| ~ cAutomobile(dollar_c4) ),
file('KRS165+1.p',unknown),
[] ).
cnf(20,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cCar(dollar_c3)
| ~ cAutomobile(dollar_c4) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[19]),1]),
[iquote('copy,19,unit_del,1')] ).
cnf(21,axiom,
cowlThing(A),
file('KRS165+1.p',unknown),
[] ).
cnf(22,axiom,
( xsd_string(A)
| xsd_integer(A) ),
file('KRS165+1.p',unknown),
[] ).
cnf(23,plain,
( xsd_integer(dollar_c2)
| cAutomobile(dollar_c3)
| cCar(dollar_c4) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[22,14,21])]),
[iquote('hyper,22,14,21,factor_simp')] ).
cnf(24,plain,
( cAutomobile(dollar_c3)
| cCar(dollar_c4)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[23,6,21])])]),
[iquote('hyper,23,6,21,factor_simp,factor_simp')] ).
cnf(25,plain,
( cAutomobile(dollar_c3)
| cCar(dollar_c4) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[24,2,23])])]),
[iquote('hyper,24,2,23,factor_simp,factor_simp')] ).
cnf(26,plain,
( cAutomobile(dollar_c3)
| cAutomobile(dollar_c4) ),
inference(hyper,[status(thm)],[25,3]),
[iquote('hyper,25,3')] ).
cnf(28,plain,
( cAutomobile(dollar_c3)
| xsd_integer(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[26,16,21,22])])]),
[iquote('hyper,26,16,21,22,factor_simp,factor_simp')] ).
cnf(30,plain,
( cAutomobile(dollar_c3)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[28,8,21,26])])]),
[iquote('hyper,28,8,21,26,factor_simp,factor_simp')] ).
cnf(31,plain,
cAutomobile(dollar_c3),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[30,2,28])]),
[iquote('hyper,30,2,28,factor_simp')] ).
cnf(32,plain,
cCar(dollar_c3),
inference(hyper,[status(thm)],[31,4]),
[iquote('hyper,31,4')] ).
cnf(33,plain,
( xsd_integer(dollar_c2)
| cCar(dollar_c4) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[32,18,21,22])]),
[iquote('hyper,32,18,21,22,factor_simp')] ).
cnf(35,plain,
( cCar(dollar_c4)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[33,10,21,32])]),
[iquote('hyper,33,10,21,32,factor_simp')] ).
cnf(36,plain,
cCar(dollar_c4),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[35,2,33])]),
[iquote('hyper,35,2,33,factor_simp')] ).
cnf(37,plain,
cAutomobile(dollar_c4),
inference(hyper,[status(thm)],[36,3]),
[iquote('hyper,36,3')] ).
cnf(38,plain,
xsd_integer(dollar_c2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[37,20,21,22,32])]),
[iquote('hyper,37,20,21,22,32,factor_simp')] ).
cnf(39,plain,
xsd_string(dollar_c2),
inference(hyper,[status(thm)],[38,12,21,32,37]),
[iquote('hyper,38,12,21,32,37')] ).
cnf(40,plain,
$false,
inference(hyper,[status(thm)],[39,2,38]),
[iquote('hyper,39,2,38')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS165+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 03:42:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.67/1.88 ----- Otter 3.3f, August 2004 -----
% 1.67/1.88 The process was started by sandbox2 on n029.cluster.edu,
% 1.67/1.88 Wed Jul 27 03:42:14 2022
% 1.67/1.88 The command was "./otter". The process ID is 8452.
% 1.67/1.88
% 1.67/1.88 set(prolog_style_variables).
% 1.67/1.88 set(auto).
% 1.67/1.88 dependent: set(auto1).
% 1.67/1.88 dependent: set(process_input).
% 1.67/1.88 dependent: clear(print_kept).
% 1.67/1.88 dependent: clear(print_new_demod).
% 1.67/1.88 dependent: clear(print_back_demod).
% 1.67/1.88 dependent: clear(print_back_sub).
% 1.67/1.88 dependent: set(control_memory).
% 1.67/1.88 dependent: assign(max_mem, 12000).
% 1.67/1.88 dependent: assign(pick_given_ratio, 4).
% 1.67/1.88 dependent: assign(stats_level, 1).
% 1.67/1.88 dependent: assign(max_seconds, 10800).
% 1.67/1.88 clear(print_given).
% 1.67/1.88
% 1.67/1.88 formula_list(usable).
% 1.67/1.88 all X (cowlThing(X)& -cowlNothing(X)).
% 1.67/1.88 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.67/1.88 all X (cCar(X)<->cAutomobile(X)).
% 1.67/1.88 -((all X (cowlThing(X)& -cowlNothing(X)))& (all X (xsd_string(X)<-> -xsd_integer(X)))& (all X (cAutomobile(X)->cCar(X)))& (all X (cCar(X)->cAutomobile(X)))).
% 1.67/1.88 end_of_list.
% 1.67/1.88
% 1.67/1.88 -------> usable clausifies to:
% 1.67/1.88
% 1.67/1.88 list(usable).
% 1.67/1.88 0 [] cowlThing(X).
% 1.67/1.88 0 [] -cowlNothing(X).
% 1.67/1.88 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.67/1.88 0 [] xsd_string(X)|xsd_integer(X).
% 1.67/1.88 0 [] -cCar(X)|cAutomobile(X).
% 1.67/1.88 0 [] cCar(X)| -cAutomobile(X).
% 1.67/1.88 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|cAutomobile($c3)|cCar($c4).
% 1.67/1.88 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|cAutomobile($c3)| -cAutomobile($c4).
% 1.67/1.88 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cCar($c3)|cCar($c4).
% 1.67/1.88 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cCar($c3)| -cAutomobile($c4).
% 1.67/1.88 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|cAutomobile($c3)|cCar($c4).
% 1.67/1.88 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|cAutomobile($c3)| -cAutomobile($c4).
% 1.67/1.88 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cCar($c3)|cCar($c4).
% 1.67/1.88 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cCar($c3)| -cAutomobile($c4).
% 1.67/1.88 end_of_list.
% 1.67/1.88
% 1.67/1.88 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.67/1.88
% 1.67/1.88 This is a non-Horn set without equality. The strategy will
% 1.67/1.88 be ordered hyper_res, unit deletion, and factoring, with
% 1.67/1.88 satellites in sos and with nuclei in usable.
% 1.67/1.88
% 1.67/1.88 dependent: set(hyper_res).
% 1.67/1.88 dependent: set(factor).
% 1.67/1.88 dependent: set(unit_deletion).
% 1.67/1.88
% 1.67/1.88 ------------> process usable:
% 1.67/1.88 ** KEPT (pick-wt=2): 1 [] -cowlNothing(A).
% 1.67/1.88 ** KEPT (pick-wt=4): 2 [] -xsd_string(A)| -xsd_integer(A).
% 1.67/1.88 ** KEPT (pick-wt=4): 3 [] -cCar(A)|cAutomobile(A).
% 1.67/1.88 ** KEPT (pick-wt=4): 4 [] cCar(A)| -cAutomobile(A).
% 1.67/1.88 ** KEPT (pick-wt=10): 6 [copy,5,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|cAutomobile($c3)|cCar($c4).
% 1.67/1.88 ** KEPT (pick-wt=10): 8 [copy,7,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|cAutomobile($c3)| -cAutomobile($c4).
% 1.67/1.88 ** KEPT (pick-wt=10): 10 [copy,9,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cCar($c3)|cCar($c4).
% 1.67/1.88 ** KEPT (pick-wt=10): 12 [copy,11,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cCar($c3)| -cAutomobile($c4).
% 1.67/1.88 ** KEPT (pick-wt=10): 14 [copy,13,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|cAutomobile($c3)|cCar($c4).
% 1.67/1.88 ** KEPT (pick-wt=10): 16 [copy,15,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|cAutomobile($c3)| -cAutomobile($c4).
% 1.67/1.88 ** KEPT (pick-wt=10): 18 [copy,17,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cCar($c3)|cCar($c4).
% 1.67/1.88 ** KEPT (pick-wt=10): 20 [copy,19,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cCar($c3)| -cAutomobile($c4).
% 1.67/1.88
% 1.67/1.88 ------------> process sos:
% 1.67/1.88 ** KEPT (pick-wt=2): 21 [] cowlThing(A).
% 1.67/1.88 ** KEPT (pick-wt=4): 22 [] xsd_string(A)|xsd_integer(A).
% 1.67/1.88
% 1.67/1.88 ======= end of input processing =======
% 1.67/1.88
% 1.67/1.88 =========== start of search ===========
% 1.67/1.88
% 1.67/1.88 -------- PROOF --------
% 1.67/1.88
% 1.67/1.88 -----> EMPTY CLAUSE at 0.00 sec ----> 40 [hyper,39,2,38] $F.
% 1.67/1.88
% 1.67/1.88 Length of proof is 22. Level of proof is 15.
% 1.67/1.88
% 1.67/1.88 ---------------- PROOF ----------------
% 1.67/1.88 % SZS status Theorem
% 1.67/1.88 % SZS output start Refutation
% See solution above
% 1.67/1.88 ------------ end of proof -------------
% 1.67/1.88
% 1.67/1.88
% 1.67/1.88 Search stopped by max_proofs option.
% 1.67/1.88
% 1.67/1.88
% 1.67/1.88 Search stopped by max_proofs option.
% 1.67/1.88
% 1.67/1.88 ============ end of search ============
% 1.67/1.88
% 1.67/1.88 -------------- statistics -------------
% 1.67/1.88 clauses given 18
% 1.67/1.88 clauses generated 32
% 1.67/1.88 clauses kept 31
% 1.67/1.88 clauses forward subsumed 14
% 1.67/1.88 clauses back subsumed 19
% 1.67/1.88 Kbytes malloced 976
% 1.67/1.88
% 1.67/1.88 ----------- times (seconds) -----------
% 1.67/1.88 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.88 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.88 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.67/1.88
% 1.67/1.88 That finishes the proof of the theorem.
% 1.67/1.88
% 1.67/1.88 Process 8452 finished Wed Jul 27 03:42:15 2022
% 1.67/1.88 Otter interrupted
% 1.67/1.88 PROOF FOUND
%------------------------------------------------------------------------------