TSTP Solution File: KRS166+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS166+1 : TPTP v8.1.0. Released v3.1.0.
% 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 13:01:29 EDT 2022
% Result : Theorem 1.77s 1.96s
% Output : Refutation 1.77s
% 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; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ cowlNothing(A),
file('KRS166+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
file('KRS166+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ cAutomobile(A)
| cCar(A) ),
file('KRS166+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ cCar(A)
| cAutomobile(A) ),
file('KRS166+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cCar(dollar_c3)
| cAutomobile(dollar_c3) ),
file('KRS166+1.p',unknown),
[] ).
cnf(6,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cCar(dollar_c3)
| cAutomobile(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)
| ~ cCar(dollar_c3)
| ~ cAutomobile(dollar_c3) ),
file('KRS166+1.p',unknown),
[] ).
cnf(8,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ cCar(dollar_c3)
| ~ cAutomobile(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)
| cCar(dollar_c3)
| cAutomobile(dollar_c3) ),
file('KRS166+1.p',unknown),
[] ).
cnf(10,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cCar(dollar_c3)
| cAutomobile(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)
| ~ cCar(dollar_c3)
| ~ cAutomobile(dollar_c3) ),
file('KRS166+1.p',unknown),
[] ).
cnf(12,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cCar(dollar_c3)
| ~ cAutomobile(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('KRS166+1.p',unknown),
[] ).
cnf(14,axiom,
( xsd_string(A)
| xsd_integer(A) ),
file('KRS166+1.p',unknown),
[] ).
cnf(15,plain,
( xsd_integer(dollar_c2)
| cCar(dollar_c3)
| cAutomobile(dollar_c3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[14,10,13])]),
[iquote('hyper,14,10,13,factor_simp')] ).
cnf(16,plain,
( cCar(dollar_c3)
| cAutomobile(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,
( cCar(dollar_c3)
| cAutomobile(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,
cAutomobile(dollar_c3),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[17,4])]),
[iquote('hyper,17,4,factor_simp')] ).
cnf(19,plain,
cCar(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
% 0.03/0.13 % Problem : KRS166+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Jul 27 03:17:01 EDT 2022
% 0.12/0.35 % CPUTime :
% 1.77/1.96 ----- Otter 3.3f, August 2004 -----
% 1.77/1.96 The process was started by sandbox on n007.cluster.edu,
% 1.77/1.96 Wed Jul 27 03:17:01 2022
% 1.77/1.96 The command was "./otter". The process ID is 18168.
% 1.77/1.96
% 1.77/1.96 set(prolog_style_variables).
% 1.77/1.96 set(auto).
% 1.77/1.96 dependent: set(auto1).
% 1.77/1.96 dependent: set(process_input).
% 1.77/1.96 dependent: clear(print_kept).
% 1.77/1.96 dependent: clear(print_new_demod).
% 1.77/1.96 dependent: clear(print_back_demod).
% 1.77/1.96 dependent: clear(print_back_sub).
% 1.77/1.96 dependent: set(control_memory).
% 1.77/1.96 dependent: assign(max_mem, 12000).
% 1.77/1.96 dependent: assign(pick_given_ratio, 4).
% 1.77/1.96 dependent: assign(stats_level, 1).
% 1.77/1.96 dependent: assign(max_seconds, 10800).
% 1.77/1.96 clear(print_given).
% 1.77/1.96
% 1.77/1.96 formula_list(usable).
% 1.77/1.96 all X (cowlThing(X)& -cowlNothing(X)).
% 1.77/1.96 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.77/1.96 all X (cAutomobile(X)->cCar(X)).
% 1.77/1.96 all X (cCar(X)->cAutomobile(X)).
% 1.77/1.96 -((all X (cowlThing(X)& -cowlNothing(X)))& (all X (xsd_string(X)<-> -xsd_integer(X)))& (all X (cCar(X)<->cAutomobile(X)))).
% 1.77/1.96 end_of_list.
% 1.77/1.96
% 1.77/1.96 -------> usable clausifies to:
% 1.77/1.96
% 1.77/1.96 list(usable).
% 1.77/1.96 0 [] cowlThing(X).
% 1.77/1.96 0 [] -cowlNothing(X).
% 1.77/1.96 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.77/1.96 0 [] xsd_string(X)|xsd_integer(X).
% 1.77/1.96 0 [] -cAutomobile(X)|cCar(X).
% 1.77/1.96 0 [] -cCar(X)|cAutomobile(X).
% 1.77/1.96 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|cCar($c3)|cAutomobile($c3).
% 1.77/1.96 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cCar($c3)| -cAutomobile($c3).
% 1.77/1.96 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|cCar($c3)|cAutomobile($c3).
% 1.77/1.96 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cCar($c3)| -cAutomobile($c3).
% 1.77/1.96 end_of_list.
% 1.77/1.96
% 1.77/1.96 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.77/1.96
% 1.77/1.96 This is a non-Horn set without equality. The strategy will
% 1.77/1.96 be ordered hyper_res, unit deletion, and factoring, with
% 1.77/1.96 satellites in sos and with nuclei in usable.
% 1.77/1.96
% 1.77/1.96 dependent: set(hyper_res).
% 1.77/1.96 dependent: set(factor).
% 1.77/1.96 dependent: set(unit_deletion).
% 1.77/1.96
% 1.77/1.96 ------------> process usable:
% 1.77/1.96 ** KEPT (pick-wt=2): 1 [] -cowlNothing(A).
% 1.77/1.96 ** KEPT (pick-wt=4): 2 [] -xsd_string(A)| -xsd_integer(A).
% 1.77/1.96 ** KEPT (pick-wt=4): 3 [] -cAutomobile(A)|cCar(A).
% 1.77/1.96 ** KEPT (pick-wt=4): 4 [] -cCar(A)|cAutomobile(A).
% 1.77/1.96 ** KEPT (pick-wt=10): 6 [copy,5,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|cCar($c3)|cAutomobile($c3).
% 1.77/1.96 ** KEPT (pick-wt=10): 8 [copy,7,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cCar($c3)| -cAutomobile($c3).
% 1.77/1.96 ** KEPT (pick-wt=10): 10 [copy,9,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|cCar($c3)|cAutomobile($c3).
% 1.77/1.96 ** KEPT (pick-wt=10): 12 [copy,11,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cCar($c3)| -cAutomobile($c3).
% 1.77/1.96
% 1.77/1.96 ------------> process sos:
% 1.77/1.96 ** KEPT (pick-wt=2): 13 [] cowlThing(A).
% 1.77/1.96 ** KEPT (pick-wt=4): 14 [] xsd_string(A)|xsd_integer(A).
% 1.77/1.96
% 1.77/1.96 ======= end of input processing =======
% 1.77/1.96
% 1.77/1.96 =========== start of search ===========
% 1.77/1.96
% 1.77/1.96 -------- PROOF --------
% 1.77/1.96
% 1.77/1.96 -----> EMPTY CLAUSE at 0.00 sec ----> 22 [hyper,21,2,20] $F.
% 1.77/1.96
% 1.77/1.96 Length of proof is 11. Level of proof is 8.
% 1.77/1.96
% 1.77/1.96 ---------------- PROOF ----------------
% 1.77/1.96 % SZS status Theorem
% 1.77/1.96 % SZS output start Refutation
% See solution above
% 1.77/1.96 ------------ end of proof -------------
% 1.77/1.96
% 1.77/1.96
% 1.77/1.96 Search stopped by max_proofs option.
% 1.77/1.96
% 1.77/1.96
% 1.77/1.96 Search stopped by max_proofs option.
% 1.77/1.96
% 1.77/1.96 ============ end of search ============
% 1.77/1.96
% 1.77/1.96 -------------- statistics -------------
% 1.77/1.96 clauses given 9
% 1.77/1.96 clauses generated 11
% 1.77/1.96 clauses kept 17
% 1.77/1.96 clauses forward subsumed 3
% 1.77/1.96 clauses back subsumed 7
% 1.77/1.96 Kbytes malloced 976
% 1.77/1.96
% 1.77/1.96 ----------- times (seconds) -----------
% 1.77/1.96 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.96 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.96 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.77/1.97
% 1.77/1.97 That finishes the proof of the theorem.
% 1.77/1.97
% 1.77/1.97 Process 18168 finished Wed Jul 27 03:17:02 2022
% 1.77/1.97 Otter interrupted
% 1.77/1.97 PROOF FOUND
%------------------------------------------------------------------------------