TSTP Solution File: KRS150+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS150+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 13:01:26 EDT 2022
% Result : Theorem 1.97s 2.13s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of clauses : 27 ( 15 unt; 5 nHn; 23 RR)
% Number of literals : 83 ( 0 equ; 55 neg)
% Maximal clause size : 13 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 10 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ cowlNothing(A),
file('KRS150+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
file('KRS150+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ cC16(A)
| cC14(A) ),
file('KRS150+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ cC16(A)
| cC8(A) ),
file('KRS150+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ cC18(A)
| cC16(A) ),
file('KRS150+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ cTEST(A)
| cC18(A) ),
file('KRS150+1.p',unknown),
[] ).
cnf(28,axiom,
~ cC4(iV16561),
file('KRS150+1.p',unknown),
[] ).
cnf(30,axiom,
~ cC2(iV16561),
file('KRS150+1.p',unknown),
[] ).
cnf(31,axiom,
~ cC10(iV16562),
file('KRS150+1.p',unknown),
[] ).
cnf(32,axiom,
~ cC2(iV16562),
file('KRS150+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
file('KRS150+1.p',unknown),
[] ).
cnf(35,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[34]),1]),
[iquote('copy,34,unit_del,1')] ).
cnf(36,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
file('KRS150+1.p',unknown),
[] ).
cnf(37,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[36]),1]),
[iquote('copy,36,unit_del,1')] ).
cnf(38,axiom,
cowlThing(A),
file('KRS150+1.p',unknown),
[] ).
cnf(39,axiom,
( xsd_string(A)
| xsd_integer(A) ),
file('KRS150+1.p',unknown),
[] ).
cnf(40,axiom,
( cC12(A)
| cC2(A)
| cC10(A) ),
file('KRS150+1.p',unknown),
[] ).
cnf(41,axiom,
( cC6(A)
| cC2(A)
| cC4(A) ),
file('KRS150+1.p',unknown),
[] ).
cnf(43,axiom,
cTEST(iV16560),
file('KRS150+1.p',unknown),
[] ).
cnf(46,plain,
cC18(iV16560),
inference(hyper,[status(thm)],[43,25]),
[iquote('hyper,43,25')] ).
cnf(47,plain,
cC16(iV16560),
inference(hyper,[status(thm)],[46,15]),
[iquote('hyper,46,15')] ).
cnf(48,plain,
cC8(iV16560),
inference(hyper,[status(thm)],[47,12]),
[iquote('hyper,47,12')] ).
cnf(49,plain,
cC14(iV16560),
inference(hyper,[status(thm)],[47,11]),
[iquote('hyper,47,11')] ).
cnf(57,plain,
cC12(iV16562),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[40,32]),31]),
[iquote('hyper,40,32,unit_del,31')] ).
cnf(63,plain,
xsd_integer(dollar_c2),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[41,37,38,39,46,47,38,49,48,38,38,57]),30,28])]),
[iquote('hyper,41,37,38,39,46,47,38,49,48,38,38,57,unit_del,30,28,factor_simp')] ).
cnf(64,plain,
xsd_string(dollar_c2),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[63,35,38,46,47,38,49,48,38,41,38,57]),30,28]),
[iquote('hyper,63,35,38,46,47,38,49,48,38,41,38,57,unit_del,30,28')] ).
cnf(65,plain,
$false,
inference(hyper,[status(thm)],[64,2,63]),
[iquote('hyper,64,2,63')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS150+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n020.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 03:34:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.97/2.13 ----- Otter 3.3f, August 2004 -----
% 1.97/2.13 The process was started by sandbox2 on n020.cluster.edu,
% 1.97/2.13 Wed Jul 27 03:34:08 2022
% 1.97/2.13 The command was "./otter". The process ID is 4134.
% 1.97/2.13
% 1.97/2.13 set(prolog_style_variables).
% 1.97/2.13 set(auto).
% 1.97/2.13 dependent: set(auto1).
% 1.97/2.13 dependent: set(process_input).
% 1.97/2.13 dependent: clear(print_kept).
% 1.97/2.13 dependent: clear(print_new_demod).
% 1.97/2.13 dependent: clear(print_back_demod).
% 1.97/2.13 dependent: clear(print_back_sub).
% 1.97/2.13 dependent: set(control_memory).
% 1.97/2.13 dependent: assign(max_mem, 12000).
% 1.97/2.13 dependent: assign(pick_given_ratio, 4).
% 1.97/2.13 dependent: assign(stats_level, 1).
% 1.97/2.13 dependent: assign(max_seconds, 10800).
% 1.97/2.13 clear(print_given).
% 1.97/2.13
% 1.97/2.13 formula_list(usable).
% 1.97/2.13 all X (cowlThing(X)& -cowlNothing(X)).
% 1.97/2.13 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.97/2.13 all X (cC10(X)<-> (exists Y (rR1(X,Y)& -cC2(Y)))).
% 1.97/2.13 all X (cC12(X)<-> -cC2(X)& -cC10(X)).
% 1.97/2.13 all X (cC14(X)<-> (exists Y (rR1(X,Y)&cC12(Y)))).
% 1.97/2.13 all X (cC16(X)<->cC14(X)&cC8(X)).
% 1.97/2.13 all X (cC18(X)<->cTOP(X)&cC16(X)).
% 1.97/2.13 all X (cC4(X)<-> (exists Y (rR1(X,Y)& -cC2(Y)))).
% 1.97/2.13 all X (cC6(X)<-> -cC2(X)& -cC4(X)).
% 1.97/2.13 all X (cC8(X)<-> (exists Y (rR1(X,Y)&cC6(Y)))).
% 1.97/2.13 all X (cTEST(X)<->cC18(X)&cTOP(X)).
% 1.97/2.13 cTOP(iV16560).
% 1.97/2.13 cTEST(iV16560).
% 1.97/2.13 cowlThing(iV16560).
% 1.97/2.13 rR1(iV16560,iV16562).
% 1.97/2.13 rR1(iV16560,iV16561).
% 1.97/2.13 -cC4(iV16561).
% 1.97/2.13 cowlThing(iV16561).
% 1.97/2.13 all X (rR1(iV16561,X)->cC2(X)).
% 1.97/2.13 -cC2(iV16561).
% 1.97/2.13 -cC10(iV16562).
% 1.97/2.13 -cC2(iV16562).
% 1.97/2.13 cowlThing(iV16562).
% 1.97/2.13 all X (rR1(iV16562,X)->cC2(X)).
% 1.97/2.13 -((all X (cowlThing(X)& -cowlNothing(X)))& (all X (xsd_string(X)<-> -xsd_integer(X)))&cC18(iV16560)&cC16(iV16560)&cowlThing(iV16560)&cC14(iV16560)&cC8(iV16560)&cowlThing(iV16561)&cC6(iV16561)&cowlThing(iV16562)&cC12(iV16562)).
% 1.97/2.13 end_of_list.
% 1.97/2.13
% 1.97/2.13 -------> usable clausifies to:
% 1.97/2.13
% 1.97/2.13 list(usable).
% 1.97/2.13 0 [] cowlThing(X).
% 1.97/2.13 0 [] -cowlNothing(X).
% 1.97/2.13 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.97/2.13 0 [] xsd_string(X)|xsd_integer(X).
% 1.97/2.13 0 [] -cC10(X)|rR1(X,$f1(X)).
% 1.97/2.13 0 [] -cC10(X)| -cC2($f1(X)).
% 1.97/2.13 0 [] cC10(X)| -rR1(X,Y)|cC2(Y).
% 1.97/2.13 0 [] -cC12(X)| -cC2(X).
% 1.97/2.13 0 [] -cC12(X)| -cC10(X).
% 1.97/2.13 0 [] cC12(X)|cC2(X)|cC10(X).
% 1.97/2.13 0 [] -cC14(X)|rR1(X,$f2(X)).
% 1.97/2.13 0 [] -cC14(X)|cC12($f2(X)).
% 1.97/2.13 0 [] cC14(X)| -rR1(X,Y)| -cC12(Y).
% 1.97/2.13 0 [] -cC16(X)|cC14(X).
% 1.97/2.13 0 [] -cC16(X)|cC8(X).
% 1.97/2.13 0 [] cC16(X)| -cC14(X)| -cC8(X).
% 1.97/2.13 0 [] -cC18(X)|cTOP(X).
% 1.97/2.13 0 [] -cC18(X)|cC16(X).
% 1.97/2.13 0 [] cC18(X)| -cTOP(X)| -cC16(X).
% 1.97/2.13 0 [] -cC4(X)|rR1(X,$f3(X)).
% 1.97/2.13 0 [] -cC4(X)| -cC2($f3(X)).
% 1.97/2.13 0 [] cC4(X)| -rR1(X,Y)|cC2(Y).
% 1.97/2.13 0 [] -cC6(X)| -cC2(X).
% 1.97/2.13 0 [] -cC6(X)| -cC4(X).
% 1.97/2.13 0 [] cC6(X)|cC2(X)|cC4(X).
% 1.97/2.13 0 [] -cC8(X)|rR1(X,$f4(X)).
% 1.97/2.13 0 [] -cC8(X)|cC6($f4(X)).
% 1.97/2.13 0 [] cC8(X)| -rR1(X,Y)| -cC6(Y).
% 1.97/2.13 0 [] -cTEST(X)|cC18(X).
% 1.97/2.13 0 [] -cTEST(X)|cTOP(X).
% 1.97/2.13 0 [] cTEST(X)| -cC18(X)| -cTOP(X).
% 1.97/2.13 0 [] cTOP(iV16560).
% 1.97/2.13 0 [] cTEST(iV16560).
% 1.97/2.13 0 [] cowlThing(iV16560).
% 1.97/2.13 0 [] rR1(iV16560,iV16562).
% 1.97/2.13 0 [] rR1(iV16560,iV16561).
% 1.97/2.13 0 [] -cC4(iV16561).
% 1.97/2.13 0 [] cowlThing(iV16561).
% 1.97/2.13 0 [] -rR1(iV16561,X)|cC2(X).
% 1.97/2.13 0 [] -cC2(iV16561).
% 1.97/2.13 0 [] -cC10(iV16562).
% 1.97/2.13 0 [] -cC2(iV16562).
% 1.97/2.13 0 [] cowlThing(iV16562).
% 1.97/2.13 0 [] -rR1(iV16562,X)|cC2(X).
% 1.97/2.13 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cC18(iV16560)| -cC16(iV16560)| -cowlThing(iV16560)| -cC14(iV16560)| -cC8(iV16560)| -cowlThing(iV16561)| -cC6(iV16561)| -cowlThing(iV16562)| -cC12(iV16562).
% 1.97/2.13 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cC18(iV16560)| -cC16(iV16560)| -cowlThing(iV16560)| -cC14(iV16560)| -cC8(iV16560)| -cowlThing(iV16561)| -cC6(iV16561)| -cowlThing(iV16562)| -cC12(iV16562).
% 1.97/2.13 end_of_list.
% 1.97/2.13
% 1.97/2.13 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=13.
% 1.97/2.13
% 1.97/2.13 This is a non-Horn set without equality. The strategy will
% 1.97/2.13 be ordered hyper_res, unit deletion, and factoring, with
% 1.97/2.13 satellites in sos and with nuclei in usable.
% 1.97/2.13
% 1.97/2.13 dependent: set(hyper_res).
% 1.97/2.13 dependent: set(factor).
% 1.97/2.13 dependent: set(unit_deletion).
% 1.97/2.13
% 1.97/2.13 ------------> process usable:
% 1.97/2.13 ** KEPT (pick-wt=2): 1 [] -cowlNothing(A).
% 1.97/2.13 ** KEPT (pick-wt=4): 2 [] -xsd_string(A)| -xsd_integer(A).
% 1.97/2.13 ** KEPT (pick-wt=6): 3 [] -cC10(A)|rR1(A,$f1(A)).
% 1.97/2.13 ** KEPT (pick-wt=5): 4 [] -cC10(A)| -cC2($f1(A)).
% 1.97/2.13 ** KEPT (pick-wt=7): 5 [] cC10(A)| -rR1(A,B)|cC2(B).
% 1.97/2.13 ** KEPT (pick-wt=4): 6 [] -cC12(A)| -cC2(A).
% 1.97/2.13 ** KEPT (pick-wt=4): 7 [] -cC12(A)| -cC10(A).
% 1.97/2.13 ** KEPT (pick-wt=6): 8 [] -cC14(A)|rR1(A,$f2(A)).
% 1.97/2.13 ** KEPT (pick-wt=5): 9 [] -cC14(A)|cC12($f2(A)).
% 1.97/2.13 ** KEPT (pick-wt=7): 10 [] cC14(A)| -rR1(A,B)| -cC12(B).
% 1.97/2.13 ** KEPT (pick-wt=4): 11 [] -cC16(A)|cC14(A).
% 1.97/2.13 ** KEPT (pick-wt=4): 12 [] -cC16(A)|cC8(A).
% 1.97/2.13 ** KEPT (pick-wt=6): 13 [] cC16(A)| -cC14(A)| -cC8(A).
% 1.97/2.13 ** KEPT (pick-wt=4): 14 [] -cC18(A)|cTOP(A).
% 1.97/2.13 ** KEPT (pick-wt=4): 15 [] -cC18(A)|cC16(A).
% 1.97/2.13 ** KEPT (pick-wt=6): 16 [] cC18(A)| -cTOP(A)| -cC16(A).
% 1.97/2.13 ** KEPT (pick-wt=6): 17 [] -cC4(A)|rR1(A,$f3(A)).
% 1.97/2.13 ** KEPT (pick-wt=5): 18 [] -cC4(A)| -cC2($f3(A)).
% 1.97/2.13 ** KEPT (pick-wt=7): 19 [] cC4(A)| -rR1(A,B)|cC2(B).
% 1.97/2.13 ** KEPT (pick-wt=4): 20 [] -cC6(A)| -cC2(A).
% 1.97/2.13 ** KEPT (pick-wt=4): 21 [] -cC6(A)| -cC4(A).
% 1.97/2.13 ** KEPT (pick-wt=6): 22 [] -cC8(A)|rR1(A,$f4(A)).
% 1.97/2.13 ** KEPT (pick-wt=5): 23 [] -cC8(A)|cC6($f4(A)).
% 1.97/2.13 ** KEPT (pick-wt=7): 24 [] cC8(A)| -rR1(A,B)| -cC6(B).
% 1.97/2.13 ** KEPT (pick-wt=4): 25 [] -cTEST(A)|cC18(A).
% 1.97/2.13 ** KEPT (pick-wt=4): 26 [] -cTEST(A)|cTOP(A).
% 1.97/2.13 ** KEPT (pick-wt=6): 27 [] cTEST(A)| -cC18(A)| -cTOP(A).
% 1.97/2.13 ** KEPT (pick-wt=2): 28 [] -cC4(iV16561).
% 1.97/2.13 ** KEPT (pick-wt=5): 29 [] -rR1(iV16561,A)|cC2(A).
% 1.97/2.13 ** KEPT (pick-wt=2): 30 [] -cC2(iV16561).
% 1.97/2.13 ** KEPT (pick-wt=2): 31 [] -cC10(iV16562).
% 1.97/2.13 ** KEPT (pick-wt=2): 32 [] -cC2(iV16562).
% 1.97/2.13 ** KEPT (pick-wt=5): 33 [] -rR1(iV16562,A)|cC2(A).
% 1.97/2.13 ** KEPT (pick-wt=24): 35 [copy,34,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cC18(iV16560)| -cC16(iV16560)| -cowlThing(iV16560)| -cC14(iV16560)| -cC8(iV16560)| -cowlThing(iV16561)| -cC6(iV16561)| -cowlThing(iV16562)| -cC12(iV16562).
% 1.97/2.13 ** KEPT (pick-wt=24): 37 [copy,36,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cC18(iV16560)| -cC16(iV16560)| -cowlThing(iV16560)| -cC14(iV16560)| -cC8(iV16560)| -cowlThing(iV16561)| -cC6(iV16561)| -cowlThing(iV16562)| -cC12(iV16562).
% 1.97/2.13
% 1.97/2.13 ------------> process sos:
% 1.97/2.13 ** KEPT (pick-wt=2): 38 [] cowlThing(A).
% 1.97/2.13 ** KEPT (pick-wt=4): 39 [] xsd_string(A)|xsd_integer(A).
% 1.97/2.13 ** KEPT (pick-wt=6): 40 [] cC12(A)|cC2(A)|cC10(A).
% 1.97/2.13 ** KEPT (pick-wt=6): 41 [] cC6(A)|cC2(A)|cC4(A).
% 1.97/2.13 ** KEPT (pick-wt=2): 42 [] cTOP(iV16560).
% 1.97/2.13 ** KEPT (pick-wt=2): 43 [] cTEST(iV16560).
% 1.97/2.13 Following clause subsumed by 38 during input processing: 0 [] cowlThing(iV16560).
% 1.97/2.13 ** KEPT (pick-wt=3): 44 [] rR1(iV16560,iV16562).
% 1.97/2.13 ** KEPT (pick-wt=3): 45 [] rR1(iV16560,iV16561).
% 1.97/2.13 Following clause subsumed by 38 during input processing: 0 [] cowlThing(iV16561).
% 1.97/2.13 Following clause subsumed by 38 during input processing: 0 [] cowlThing(iV16562).
% 1.97/2.13
% 1.97/2.13 ======= end of input processing =======
% 1.97/2.13
% 1.97/2.13 =========== start of search ===========
% 1.97/2.13
% 1.97/2.13 -------- PROOF --------
% 1.97/2.13
% 1.97/2.13 -----> EMPTY CLAUSE at 0.00 sec ----> 65 [hyper,64,2,63] $F.
% 1.97/2.13
% 1.97/2.13 Length of proof is 9. Level of proof is 5.
% 1.97/2.13
% 1.97/2.13 ---------------- PROOF ----------------
% 1.97/2.13 % SZS status Theorem
% 1.97/2.13 % SZS output start Refutation
% See solution above
% 1.97/2.13 ------------ end of proof -------------
% 1.97/2.13
% 1.97/2.13
% 1.97/2.13 Search stopped by max_proofs option.
% 1.97/2.13
% 1.97/2.13
% 1.97/2.13 Search stopped by max_proofs option.
% 1.97/2.13
% 1.97/2.13 ============ end of search ============
% 1.97/2.13
% 1.97/2.13 -------------- statistics -------------
% 1.97/2.13 clauses given 18
% 1.97/2.13 clauses generated 34
% 1.97/2.13 clauses kept 62
% 1.97/2.13 clauses forward subsumed 17
% 1.97/2.13 clauses back subsumed 2
% 1.97/2.13 Kbytes malloced 976
% 1.97/2.13
% 1.97/2.13 ----------- times (seconds) -----------
% 1.97/2.13 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.97/2.13 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.97/2.13 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.97/2.13
% 1.97/2.13 That finishes the proof of the theorem.
% 1.97/2.13
% 1.97/2.13 Process 4134 finished Wed Jul 27 03:34:10 2022
% 1.97/2.13 Otter interrupted
% 1.97/2.13 PROOF FOUND
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