TSTP Solution File: KRS104+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS104+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 13:01:09 EDT 2022
% Result : Unsatisfiable 1.69s 1.91s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of clauses : 59 ( 7 unt; 32 nHn; 38 RR)
% Number of literals : 133 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 47 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ cUnsatisfiable(A)
| ~ ra_Px5(A,B) ),
file('KRS104+1.p',unknown),
[] ).
cnf(7,axiom,
( cUnsatisfiablexcomp(A)
| ~ ca_Cx7(A)
| ~ ca_Cx8(A)
| ~ ca_Cx6(A) ),
file('KRS104+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ cUnsatisfiablexcomp(A)
| ra_Px5(A,dollar_f2(A)) ),
file('KRS104+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ ca(A)
| ca_Cx1(A) ),
file('KRS104+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ cb(A)
| ra_Px3(A,dollar_f3(A)) ),
file('KRS104+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ cb(A)
| ccxcomp(A) ),
file('KRS104+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ cbxcomp(A)
| ~ ra_Px3(A,B) ),
file('KRS104+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ cc(A)
| ra_Px2(A,dollar_f5(A)) ),
file('KRS104+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ ccxcomp(A)
| ~ ra_Px2(A,B) ),
file('KRS104+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ ca_Cx1(A)
| cbxcomp(A) ),
file('KRS104+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ ca_Cx1(A)
| ccxcomp(A) ),
file('KRS104+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ ca_Cx6xcomp(A)
| ca(A) ),
file('KRS104+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ ca_Cx6xcomp(A)
| cb(A) ),
file('KRS104+1.p',unknown),
[] ).
cnf(29,axiom,
( ca_Cx6xcomp(A)
| ~ ra_Px6(A,B) ),
file('KRS104+1.p',unknown),
[] ).
cnf(31,axiom,
( ca_Cx7(A)
| ~ ra_Px7(A,B) ),
file('KRS104+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ ca_Cx7xcomp(A)
| cc(A) ),
file('KRS104+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ ca_Cx7xcomp(A)
| ca(A) ),
file('KRS104+1.p',unknown),
[] ).
cnf(38,axiom,
( ca_Cx8xcomp(A)
| ~ ra_Px8(A,B) ),
file('KRS104+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ ca_Cx8xcomp(A)
| cc(A) ),
file('KRS104+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ ca_Cx8xcomp(A)
| cb(A) ),
file('KRS104+1.p',unknown),
[] ).
cnf(46,axiom,
( ccxcomp(A)
| ra_Px2(A,dollar_f6(A)) ),
file('KRS104+1.p',unknown),
[] ).
cnf(48,axiom,
( ca_Cx6(A)
| ra_Px6(A,dollar_f9(A)) ),
file('KRS104+1.p',unknown),
[] ).
cnf(49,axiom,
( ca_Cx7xcomp(A)
| ra_Px7(A,dollar_f12(A)) ),
file('KRS104+1.p',unknown),
[] ).
cnf(50,axiom,
( ca_Cx8(A)
| ra_Px8(A,dollar_f13(A)) ),
file('KRS104+1.p',unknown),
[] ).
cnf(51,axiom,
cUnsatisfiable(i2003_11_14_17_20_50869),
file('KRS104+1.p',unknown),
[] ).
cnf(53,plain,
( ra_Px7(A,dollar_f12(A))
| ca(A) ),
inference(hyper,[status(thm)],[49,33]),
[iquote('hyper,49,33')] ).
cnf(54,plain,
( ra_Px7(A,dollar_f12(A))
| cc(A) ),
inference(hyper,[status(thm)],[49,32]),
[iquote('hyper,49,32')] ).
cnf(56,plain,
( ra_Px7(A,dollar_f12(A))
| ca_Cx1(A) ),
inference(hyper,[status(thm)],[53,10]),
[iquote('hyper,53,10')] ).
cnf(57,plain,
( ra_Px7(A,dollar_f12(A))
| ra_Px2(A,dollar_f5(A)) ),
inference(hyper,[status(thm)],[54,15]),
[iquote('hyper,54,15')] ).
cnf(59,plain,
( ra_Px7(A,dollar_f12(A))
| ccxcomp(A) ),
inference(hyper,[status(thm)],[56,19]),
[iquote('hyper,56,19')] ).
cnf(62,plain,
( ra_Px2(A,dollar_f5(A))
| ca_Cx7(A) ),
inference(hyper,[status(thm)],[57,31]),
[iquote('hyper,57,31')] ).
cnf(64,plain,
( ra_Px2(A,dollar_f5(A))
| cUnsatisfiablexcomp(A)
| ra_Px8(A,dollar_f13(A))
| ra_Px6(A,dollar_f9(A)) ),
inference(hyper,[status(thm)],[62,7,50,48]),
[iquote('hyper,62,7,50,48')] ).
cnf(69,plain,
( ra_Px2(A,dollar_f5(A))
| ra_Px8(A,dollar_f13(A))
| ra_Px6(A,dollar_f9(A))
| ra_Px5(A,dollar_f2(A)) ),
inference(hyper,[status(thm)],[64,8]),
[iquote('hyper,64,8')] ).
cnf(71,plain,
( ra_Px2(A,dollar_f5(A))
| ra_Px6(A,dollar_f9(A))
| ra_Px5(A,dollar_f2(A))
| ca_Cx8xcomp(A) ),
inference(hyper,[status(thm)],[69,38]),
[iquote('hyper,69,38')] ).
cnf(73,plain,
( ra_Px2(A,dollar_f5(A))
| ra_Px6(A,dollar_f9(A))
| ra_Px5(A,dollar_f2(A))
| cc(A) ),
inference(hyper,[status(thm)],[71,39]),
[iquote('hyper,71,39')] ).
cnf(78,plain,
( ra_Px2(A,dollar_f5(A))
| ra_Px6(A,dollar_f9(A))
| ra_Px5(A,dollar_f2(A)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[73,15])]),
[iquote('hyper,73,15,factor_simp')] ).
cnf(79,plain,
( ra_Px2(A,dollar_f5(A))
| ra_Px5(A,dollar_f2(A))
| ca_Cx6xcomp(A) ),
inference(hyper,[status(thm)],[78,29]),
[iquote('hyper,78,29')] ).
cnf(81,plain,
( ra_Px2(A,dollar_f5(A))
| ra_Px5(A,dollar_f2(A))
| cb(A) ),
inference(hyper,[status(thm)],[79,26]),
[iquote('hyper,79,26')] ).
cnf(82,plain,
( ra_Px2(A,dollar_f5(A))
| ra_Px5(A,dollar_f2(A))
| ca(A) ),
inference(hyper,[status(thm)],[79,25]),
[iquote('hyper,79,25')] ).
cnf(84,plain,
( ra_Px2(A,dollar_f5(A))
| ra_Px5(A,dollar_f2(A))
| ra_Px3(A,dollar_f3(A)) ),
inference(hyper,[status(thm)],[81,11]),
[iquote('hyper,81,11')] ).
cnf(88,plain,
( ra_Px2(A,dollar_f5(A))
| ra_Px5(A,dollar_f2(A))
| ca_Cx1(A) ),
inference(hyper,[status(thm)],[82,10]),
[iquote('hyper,82,10')] ).
cnf(90,plain,
( ra_Px2(A,dollar_f5(A))
| ra_Px5(A,dollar_f2(A))
| cbxcomp(A) ),
inference(hyper,[status(thm)],[88,18]),
[iquote('hyper,88,18')] ).
cnf(92,plain,
( ra_Px2(i2003_11_14_17_20_50869,dollar_f5(i2003_11_14_17_20_50869))
| ra_Px3(i2003_11_14_17_20_50869,dollar_f3(i2003_11_14_17_20_50869)) ),
inference(hyper,[status(thm)],[84,3,51]),
[iquote('hyper,84,3,51')] ).
cnf(94,plain,
( ra_Px2(i2003_11_14_17_20_50869,dollar_f5(i2003_11_14_17_20_50869))
| ra_Px5(i2003_11_14_17_20_50869,dollar_f2(i2003_11_14_17_20_50869)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[92,14,90])]),
[iquote('hyper,92,14,90,factor_simp')] ).
cnf(101,plain,
ra_Px2(i2003_11_14_17_20_50869,dollar_f5(i2003_11_14_17_20_50869)),
inference(hyper,[status(thm)],[94,3,51]),
[iquote('hyper,94,3,51')] ).
cnf(102,plain,
ra_Px7(i2003_11_14_17_20_50869,dollar_f12(i2003_11_14_17_20_50869)),
inference(hyper,[status(thm)],[101,17,59]),
[iquote('hyper,101,17,59')] ).
cnf(103,plain,
ra_Px2(i2003_11_14_17_20_50869,dollar_f6(i2003_11_14_17_20_50869)),
inference(hyper,[status(thm)],[101,17,46]),
[iquote('hyper,101,17,46')] ).
cnf(105,plain,
ca_Cx7(i2003_11_14_17_20_50869),
inference(hyper,[status(thm)],[102,31]),
[iquote('hyper,102,31')] ).
cnf(107,plain,
( cUnsatisfiablexcomp(i2003_11_14_17_20_50869)
| ra_Px8(i2003_11_14_17_20_50869,dollar_f13(i2003_11_14_17_20_50869))
| ra_Px6(i2003_11_14_17_20_50869,dollar_f9(i2003_11_14_17_20_50869)) ),
inference(hyper,[status(thm)],[105,7,50,48]),
[iquote('hyper,105,7,50,48')] ).
cnf(110,plain,
( ra_Px8(i2003_11_14_17_20_50869,dollar_f13(i2003_11_14_17_20_50869))
| ra_Px6(i2003_11_14_17_20_50869,dollar_f9(i2003_11_14_17_20_50869))
| ra_Px5(i2003_11_14_17_20_50869,dollar_f2(i2003_11_14_17_20_50869)) ),
inference(hyper,[status(thm)],[107,8]),
[iquote('hyper,107,8')] ).
cnf(115,plain,
( ra_Px6(i2003_11_14_17_20_50869,dollar_f9(i2003_11_14_17_20_50869))
| ra_Px5(i2003_11_14_17_20_50869,dollar_f2(i2003_11_14_17_20_50869))
| ca_Cx8xcomp(i2003_11_14_17_20_50869) ),
inference(hyper,[status(thm)],[110,38]),
[iquote('hyper,110,38')] ).
cnf(118,plain,
( ra_Px6(i2003_11_14_17_20_50869,dollar_f9(i2003_11_14_17_20_50869))
| ra_Px5(i2003_11_14_17_20_50869,dollar_f2(i2003_11_14_17_20_50869))
| cb(i2003_11_14_17_20_50869) ),
inference(hyper,[status(thm)],[115,40]),
[iquote('hyper,115,40')] ).
cnf(120,plain,
( ra_Px6(i2003_11_14_17_20_50869,dollar_f9(i2003_11_14_17_20_50869))
| ra_Px5(i2003_11_14_17_20_50869,dollar_f2(i2003_11_14_17_20_50869))
| ccxcomp(i2003_11_14_17_20_50869) ),
inference(hyper,[status(thm)],[118,13]),
[iquote('hyper,118,13')] ).
cnf(123,plain,
( ra_Px6(i2003_11_14_17_20_50869,dollar_f9(i2003_11_14_17_20_50869))
| ra_Px5(i2003_11_14_17_20_50869,dollar_f2(i2003_11_14_17_20_50869)) ),
inference(hyper,[status(thm)],[120,17,103]),
[iquote('hyper,120,17,103')] ).
cnf(124,plain,
( ra_Px5(i2003_11_14_17_20_50869,dollar_f2(i2003_11_14_17_20_50869))
| ca_Cx6xcomp(i2003_11_14_17_20_50869) ),
inference(hyper,[status(thm)],[123,29]),
[iquote('hyper,123,29')] ).
cnf(127,plain,
( ra_Px5(i2003_11_14_17_20_50869,dollar_f2(i2003_11_14_17_20_50869))
| cb(i2003_11_14_17_20_50869) ),
inference(hyper,[status(thm)],[124,26]),
[iquote('hyper,124,26')] ).
cnf(130,plain,
( ra_Px5(i2003_11_14_17_20_50869,dollar_f2(i2003_11_14_17_20_50869))
| ccxcomp(i2003_11_14_17_20_50869) ),
inference(hyper,[status(thm)],[127,13]),
[iquote('hyper,127,13')] ).
cnf(135,plain,
ra_Px5(i2003_11_14_17_20_50869,dollar_f2(i2003_11_14_17_20_50869)),
inference(hyper,[status(thm)],[130,17,103]),
[iquote('hyper,130,17,103')] ).
cnf(137,plain,
$false,
inference(hyper,[status(thm)],[135,3,51]),
[iquote('hyper,135,3,51')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS104+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.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 03:40:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.69/1.91 ----- Otter 3.3f, August 2004 -----
% 1.69/1.91 The process was started by sandbox2 on n027.cluster.edu,
% 1.69/1.91 Wed Jul 27 03:40:06 2022
% 1.69/1.91 The command was "./otter". The process ID is 27843.
% 1.69/1.91
% 1.69/1.91 set(prolog_style_variables).
% 1.69/1.91 set(auto).
% 1.69/1.91 dependent: set(auto1).
% 1.69/1.91 dependent: set(process_input).
% 1.69/1.91 dependent: clear(print_kept).
% 1.69/1.91 dependent: clear(print_new_demod).
% 1.69/1.91 dependent: clear(print_back_demod).
% 1.69/1.91 dependent: clear(print_back_sub).
% 1.69/1.91 dependent: set(control_memory).
% 1.69/1.91 dependent: assign(max_mem, 12000).
% 1.69/1.91 dependent: assign(pick_given_ratio, 4).
% 1.69/1.91 dependent: assign(stats_level, 1).
% 1.69/1.91 dependent: assign(max_seconds, 10800).
% 1.69/1.91 clear(print_given).
% 1.69/1.91
% 1.69/1.91 formula_list(usable).
% 1.69/1.91 all X (cowlThing(X)& -cowlNothing(X)).
% 1.69/1.91 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.69/1.91 all X (cUnsatisfiable(X)<-> -(exists Y ra_Px5(X,Y))).
% 1.69/1.91 all X (cUnsatisfiablexcomp(X)<->ca_Cx7(X)&ca_Cx8(X)&ca_Cx6(X)).
% 1.69/1.91 all X (cUnsatisfiablexcomp(X)<-> (exists Y0 ra_Px5(X,Y0))).
% 1.69/1.91 all X (ca(X)->ca_Cx1(X)).
% 1.69/1.91 all X (cb(X)<-> (exists Y0 ra_Px3(X,Y0))).
% 1.69/1.91 all X (cb(X)->ccxcomp(X)).
% 1.69/1.91 all X (cbxcomp(X)<-> -(exists Y ra_Px3(X,Y))).
% 1.69/1.91 all X (cc(X)<-> (exists Y0 ra_Px2(X,Y0))).
% 1.69/1.91 all X (ccxcomp(X)<-> -(exists Y ra_Px2(X,Y))).
% 1.69/1.91 all X (ca_Cx1(X)<->cbxcomp(X)&ccxcomp(X)).
% 1.69/1.91 all X (ca_Cx1(X)<-> (exists Y0 ra_Px1(X,Y0))).
% 1.69/1.91 all X (ca_Cx1xcomp(X)<-> -(exists Y ra_Px1(X,Y))).
% 1.69/1.91 all X (ca_Cx6(X)<-> -(exists Y ra_Px6(X,Y))).
% 1.69/1.91 all X (ca_Cx6xcomp(X)<->ca(X)&cb(X)).
% 1.69/1.91 all X (ca_Cx6xcomp(X)<-> (exists Y0 ra_Px6(X,Y0))).
% 1.69/1.91 all X (ca_Cx7(X)<-> (exists Y0 ra_Px7(X,Y0))).
% 1.69/1.91 all X (ca_Cx7xcomp(X)<->cc(X)&ca(X)).
% 1.69/1.91 all X (ca_Cx7xcomp(X)<-> -(exists Y ra_Px7(X,Y))).
% 1.69/1.91 all X (ca_Cx8(X)<-> -(exists Y ra_Px8(X,Y))).
% 1.69/1.91 all X (ca_Cx8xcomp(X)<-> (exists Y0 ra_Px8(X,Y0))).
% 1.69/1.91 all X (ca_Cx8xcomp(X)<->cc(X)&cb(X)).
% 1.69/1.91 cUnsatisfiable(i2003_11_14_17_20_50869).
% 1.69/1.91 end_of_list.
% 1.69/1.91
% 1.69/1.91 -------> usable clausifies to:
% 1.69/1.91
% 1.69/1.91 list(usable).
% 1.69/1.91 0 [] cowlThing(X).
% 1.69/1.91 0 [] -cowlNothing(X).
% 1.69/1.91 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.69/1.91 0 [] xsd_string(X)|xsd_integer(X).
% 1.69/1.91 0 [] -cUnsatisfiable(X)| -ra_Px5(X,Y).
% 1.69/1.91 0 [] cUnsatisfiable(X)|ra_Px5(X,$f1(X)).
% 1.69/1.91 0 [] -cUnsatisfiablexcomp(X)|ca_Cx7(X).
% 1.69/1.91 0 [] -cUnsatisfiablexcomp(X)|ca_Cx8(X).
% 1.69/1.91 0 [] -cUnsatisfiablexcomp(X)|ca_Cx6(X).
% 1.69/1.91 0 [] cUnsatisfiablexcomp(X)| -ca_Cx7(X)| -ca_Cx8(X)| -ca_Cx6(X).
% 1.69/1.91 0 [] -cUnsatisfiablexcomp(X)|ra_Px5(X,$f2(X)).
% 1.69/1.91 0 [] cUnsatisfiablexcomp(X)| -ra_Px5(X,Y0).
% 1.69/1.91 0 [] -ca(X)|ca_Cx1(X).
% 1.69/1.91 0 [] -cb(X)|ra_Px3(X,$f3(X)).
% 1.69/1.91 0 [] cb(X)| -ra_Px3(X,Y0).
% 1.69/1.91 0 [] -cb(X)|ccxcomp(X).
% 1.69/1.91 0 [] -cbxcomp(X)| -ra_Px3(X,Y).
% 1.69/1.91 0 [] cbxcomp(X)|ra_Px3(X,$f4(X)).
% 1.69/1.91 0 [] -cc(X)|ra_Px2(X,$f5(X)).
% 1.69/1.91 0 [] cc(X)| -ra_Px2(X,Y0).
% 1.69/1.91 0 [] -ccxcomp(X)| -ra_Px2(X,Y).
% 1.69/1.91 0 [] ccxcomp(X)|ra_Px2(X,$f6(X)).
% 1.69/1.91 0 [] -ca_Cx1(X)|cbxcomp(X).
% 1.69/1.91 0 [] -ca_Cx1(X)|ccxcomp(X).
% 1.69/1.91 0 [] ca_Cx1(X)| -cbxcomp(X)| -ccxcomp(X).
% 1.69/1.91 0 [] -ca_Cx1(X)|ra_Px1(X,$f7(X)).
% 1.69/1.91 0 [] ca_Cx1(X)| -ra_Px1(X,Y0).
% 1.69/1.91 0 [] -ca_Cx1xcomp(X)| -ra_Px1(X,Y).
% 1.69/1.91 0 [] ca_Cx1xcomp(X)|ra_Px1(X,$f8(X)).
% 1.69/1.91 0 [] -ca_Cx6(X)| -ra_Px6(X,Y).
% 1.69/1.91 0 [] ca_Cx6(X)|ra_Px6(X,$f9(X)).
% 1.69/1.91 0 [] -ca_Cx6xcomp(X)|ca(X).
% 1.69/1.91 0 [] -ca_Cx6xcomp(X)|cb(X).
% 1.69/1.91 0 [] ca_Cx6xcomp(X)| -ca(X)| -cb(X).
% 1.69/1.91 0 [] -ca_Cx6xcomp(X)|ra_Px6(X,$f10(X)).
% 1.69/1.91 0 [] ca_Cx6xcomp(X)| -ra_Px6(X,Y0).
% 1.69/1.91 0 [] -ca_Cx7(X)|ra_Px7(X,$f11(X)).
% 1.69/1.91 0 [] ca_Cx7(X)| -ra_Px7(X,Y0).
% 1.69/1.91 0 [] -ca_Cx7xcomp(X)|cc(X).
% 1.69/1.91 0 [] -ca_Cx7xcomp(X)|ca(X).
% 1.69/1.91 0 [] ca_Cx7xcomp(X)| -cc(X)| -ca(X).
% 1.69/1.91 0 [] -ca_Cx7xcomp(X)| -ra_Px7(X,Y).
% 1.69/1.91 0 [] ca_Cx7xcomp(X)|ra_Px7(X,$f12(X)).
% 1.69/1.91 0 [] -ca_Cx8(X)| -ra_Px8(X,Y).
% 1.69/1.91 0 [] ca_Cx8(X)|ra_Px8(X,$f13(X)).
% 1.69/1.91 0 [] -ca_Cx8xcomp(X)|ra_Px8(X,$f14(X)).
% 1.69/1.91 0 [] ca_Cx8xcomp(X)| -ra_Px8(X,Y0).
% 1.69/1.91 0 [] -ca_Cx8xcomp(X)|cc(X).
% 1.69/1.91 0 [] -ca_Cx8xcomp(X)|cb(X).
% 1.69/1.91 0 [] ca_Cx8xcomp(X)| -cc(X)| -cb(X).
% 1.69/1.91 0 [] cUnsatisfiable(i2003_11_14_17_20_50869).
% 1.69/1.91 end_of_list.
% 1.69/1.91
% 1.69/1.91 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.69/1.91
% 1.69/1.91 This is a non-Horn set without equality. The strategy will
% 1.69/1.91 be ordered hyper_res, unit deletion, and factoring, with
% 1.69/1.91 satellites in sos and with nuclei in usable.
% 1.69/1.91
% 1.69/1.91 dependent: set(hyper_res).
% 1.69/1.91 dependent: set(factor).
% 1.69/1.91 dependent: set(unit_deletion).
% 1.69/1.91
% 1.69/1.91 ------------> process usable:
% 1.69/1.91 ** KEPT (pick-wt=2): 1 [] -cowlNothing(A).
% 1.69/1.91 ** KEPT (pick-wt=4): 2 [] -xsd_string(A)| -xsd_integer(A).
% 1.69/1.91 ** KEPT (pick-wt=5): 3 [] -cUnsatisfiable(A)| -ra_Px5(A,B).
% 1.69/1.91 ** KEPT (pick-wt=4): 4 [] -cUnsatisfiablexcomp(A)|ca_Cx7(A).
% 1.69/1.91 ** KEPT (pick-wt=4): 5 [] -cUnsatisfiablexcomp(A)|ca_Cx8(A).
% 1.69/1.91 ** KEPT (pick-wt=4): 6 [] -cUnsatisfiablexcomp(A)|ca_Cx6(A).
% 1.69/1.91 ** KEPT (pick-wt=8): 7 [] cUnsatisfiablexcomp(A)| -ca_Cx7(A)| -ca_Cx8(A)| -ca_Cx6(A).
% 1.69/1.91 ** KEPT (pick-wt=6): 8 [] -cUnsatisfiablexcomp(A)|ra_Px5(A,$f2(A)).
% 1.69/1.91 ** KEPT (pick-wt=5): 9 [] cUnsatisfiablexcomp(A)| -ra_Px5(A,B).
% 1.69/1.91 ** KEPT (pick-wt=4): 10 [] -ca(A)|ca_Cx1(A).
% 1.69/1.91 ** KEPT (pick-wt=6): 11 [] -cb(A)|ra_Px3(A,$f3(A)).
% 1.69/1.91 ** KEPT (pick-wt=5): 12 [] cb(A)| -ra_Px3(A,B).
% 1.69/1.91 ** KEPT (pick-wt=4): 13 [] -cb(A)|ccxcomp(A).
% 1.69/1.91 ** KEPT (pick-wt=5): 14 [] -cbxcomp(A)| -ra_Px3(A,B).
% 1.69/1.91 ** KEPT (pick-wt=6): 15 [] -cc(A)|ra_Px2(A,$f5(A)).
% 1.69/1.91 ** KEPT (pick-wt=5): 16 [] cc(A)| -ra_Px2(A,B).
% 1.69/1.91 ** KEPT (pick-wt=5): 17 [] -ccxcomp(A)| -ra_Px2(A,B).
% 1.69/1.91 ** KEPT (pick-wt=4): 18 [] -ca_Cx1(A)|cbxcomp(A).
% 1.69/1.91 ** KEPT (pick-wt=4): 19 [] -ca_Cx1(A)|ccxcomp(A).
% 1.69/1.91 ** KEPT (pick-wt=6): 20 [] ca_Cx1(A)| -cbxcomp(A)| -ccxcomp(A).
% 1.69/1.91 ** KEPT (pick-wt=6): 21 [] -ca_Cx1(A)|ra_Px1(A,$f7(A)).
% 1.69/1.91 ** KEPT (pick-wt=5): 22 [] ca_Cx1(A)| -ra_Px1(A,B).
% 1.69/1.91 ** KEPT (pick-wt=5): 23 [] -ca_Cx1xcomp(A)| -ra_Px1(A,B).
% 1.69/1.91 ** KEPT (pick-wt=5): 24 [] -ca_Cx6(A)| -ra_Px6(A,B).
% 1.69/1.91 ** KEPT (pick-wt=4): 25 [] -ca_Cx6xcomp(A)|ca(A).
% 1.69/1.91 ** KEPT (pick-wt=4): 26 [] -ca_Cx6xcomp(A)|cb(A).
% 1.69/1.91 ** KEPT (pick-wt=6): 27 [] ca_Cx6xcomp(A)| -ca(A)| -cb(A).
% 1.69/1.91 ** KEPT (pick-wt=6): 28 [] -ca_Cx6xcomp(A)|ra_Px6(A,$f10(A)).
% 1.69/1.91 ** KEPT (pick-wt=5): 29 [] ca_Cx6xcomp(A)| -ra_Px6(A,B).
% 1.69/1.91 ** KEPT (pick-wt=6): 30 [] -ca_Cx7(A)|ra_Px7(A,$f11(A)).
% 1.69/1.91 ** KEPT (pick-wt=5): 31 [] ca_Cx7(A)| -ra_Px7(A,B).
% 1.69/1.91 ** KEPT (pick-wt=4): 32 [] -ca_Cx7xcomp(A)|cc(A).
% 1.69/1.91 ** KEPT (pick-wt=4): 33 [] -ca_Cx7xcomp(A)|ca(A).
% 1.69/1.91 ** KEPT (pick-wt=6): 34 [] ca_Cx7xcomp(A)| -cc(A)| -ca(A).
% 1.69/1.91 ** KEPT (pick-wt=5): 35 [] -ca_Cx7xcomp(A)| -ra_Px7(A,B).
% 1.69/1.91 ** KEPT (pick-wt=5): 36 [] -ca_Cx8(A)| -ra_Px8(A,B).
% 1.69/1.91 ** KEPT (pick-wt=6): 37 [] -ca_Cx8xcomp(A)|ra_Px8(A,$f14(A)).
% 1.69/1.91 ** KEPT (pick-wt=5): 38 [] ca_Cx8xcomp(A)| -ra_Px8(A,B).
% 1.69/1.91 ** KEPT (pick-wt=4): 39 [] -ca_Cx8xcomp(A)|cc(A).
% 1.69/1.91 ** KEPT (pick-wt=4): 40 [] -ca_Cx8xcomp(A)|cb(A).
% 1.69/1.91 ** KEPT (pick-wt=6): 41 [] ca_Cx8xcomp(A)| -cc(A)| -cb(A).
% 1.69/1.91
% 1.69/1.91 ------------> process sos:
% 1.69/1.91 ** KEPT (pick-wt=2): 42 [] cowlThing(A).
% 1.69/1.91 ** KEPT (pick-wt=4): 43 [] xsd_string(A)|xsd_integer(A).
% 1.69/1.91 ** KEPT (pick-wt=6): 44 [] cUnsatisfiable(A)|ra_Px5(A,$f1(A)).
% 1.69/1.91 ** KEPT (pick-wt=6): 45 [] cbxcomp(A)|ra_Px3(A,$f4(A)).
% 1.69/1.91 ** KEPT (pick-wt=6): 46 [] ccxcomp(A)|ra_Px2(A,$f6(A)).
% 1.69/1.91 ** KEPT (pick-wt=6): 47 [] ca_Cx1xcomp(A)|ra_Px1(A,$f8(A)).
% 1.69/1.91 ** KEPT (pick-wt=6): 48 [] ca_Cx6(A)|ra_Px6(A,$f9(A)).
% 1.69/1.91 ** KEPT (pick-wt=6): 49 [] ca_Cx7xcomp(A)|ra_Px7(A,$f12(A)).
% 1.69/1.91 ** KEPT (pick-wt=6): 50 [] ca_Cx8(A)|ra_Px8(A,$f13(A)).
% 1.69/1.91 ** KEPT (pick-wt=2): 51 [] cUnsatisfiable(i2003_11_14_17_20_50869).
% 1.69/1.91
% 1.69/1.91 ======= end of input processing =======
% 1.69/1.91
% 1.69/1.91 =========== start of search ===========
% 1.69/1.91
% 1.69/1.91 -------- PROOF --------
% 1.69/1.91
% 1.69/1.91 -----> EMPTY CLAUSE at 0.00 sec ----> 137 [hyper,135,3,51] $F.
% 1.69/1.91
% 1.69/1.91 Length of proof is 33. Level of proof is 26.
% 1.69/1.91
% 1.69/1.91 ---------------- PROOF ----------------
% 1.69/1.91 % SZS status Theorem
% 1.69/1.91 % SZS output start Refutation
% See solution above
% 1.69/1.91 ------------ end of proof -------------
% 1.69/1.91
% 1.69/1.91
% 1.69/1.91 Search stopped by max_proofs option.
% 1.69/1.91
% 1.69/1.91
% 1.69/1.91 Search stopped by max_proofs option.
% 1.69/1.91
% 1.69/1.91 ============ end of search ============
% 1.69/1.91
% 1.69/1.91 -------------- statistics -------------
% 1.69/1.91 clauses given 78
% 1.69/1.91 clauses generated 252
% 1.69/1.91 clauses kept 136
% 1.69/1.91 clauses forward subsumed 166
% 1.69/1.91 clauses back subsumed 32
% 1.69/1.91 Kbytes malloced 976
% 1.69/1.91
% 1.69/1.91 ----------- times (seconds) -----------
% 1.69/1.91 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.69/1.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.69/1.91 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.69/1.91
% 1.69/1.91 That finishes the proof of the theorem.
% 1.69/1.91
% 1.69/1.91 Process 27843 finished Wed Jul 27 03:40:08 2022
% 1.69/1.91 Otter interrupted
% 1.69/1.91 PROOF FOUND
%------------------------------------------------------------------------------