%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS142+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:01:25 EDT 2022
% Result : Theorem 1.65s 1.82s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 23
% Syntax : Number of clauses : 72 ( 12 unt; 53 nHn; 69 RR)
% Number of literals : 256 ( 12 equ; 101 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 27 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
~ cowlNothing(A),
file('KRS142+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
file('KRS142+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ cc(A)
| rp(A,dollar_f1(A)) ),
file('KRS142+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ cc(A)
| ~ rp(A,B)
| ~ rp(A,C)
| B = C ),
file('KRS142+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cc(dollar_c3)
| cc(dollar_c6) ),
file('KRS142+1.p',unknown),
[] ).
cnf(13,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cc(dollar_c3)
| cc(dollar_c6) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[12]),8]),
[iquote('copy,12,unit_del,8')] ).
cnf(14,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cc(dollar_c3)
| rp(dollar_c6,dollar_c5) ),
file('KRS142+1.p',unknown),
[] ).
cnf(15,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cc(dollar_c3)
| rp(dollar_c6,dollar_c5) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[14]),8]),
[iquote('copy,14,unit_del,8')] ).
cnf(16,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cc(dollar_c3)
| rp(dollar_c6,dollar_c4) ),
file('KRS142+1.p',unknown),
[] ).
cnf(17,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cc(dollar_c3)
| rp(dollar_c6,dollar_c4) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[16]),8]),
[iquote('copy,16,unit_del,8')] ).
cnf(18,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cc(dollar_c3)
| dollar_c5 != dollar_c4 ),
file('KRS142+1.p',unknown),
[] ).
cnf(19,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cc(dollar_c3)
| dollar_c5 != dollar_c4 ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[18]),8]),
[iquote('copy,18,unit_del,8')] ).
cnf(20,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| cc(dollar_c6) ),
file('KRS142+1.p',unknown),
[] ).
cnf(21,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| cc(dollar_c6) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[20]),8]),
[iquote('copy,20,unit_del,8')] ).
cnf(22,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| rp(dollar_c6,dollar_c5) ),
file('KRS142+1.p',unknown),
[] ).
cnf(23,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| rp(dollar_c6,dollar_c5) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[22]),8]),
[iquote('copy,22,unit_del,8')] ).
cnf(24,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| rp(dollar_c6,dollar_c4) ),
file('KRS142+1.p',unknown),
[] ).
cnf(25,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| rp(dollar_c6,dollar_c4) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[24]),8]),
[iquote('copy,24,unit_del,8')] ).
cnf(26,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| dollar_c5 != dollar_c4 ),
file('KRS142+1.p',unknown),
[] ).
cnf(27,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| dollar_c5 != dollar_c4 ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[26]),8]),
[iquote('copy,26,unit_del,8')] ).
cnf(28,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cc(dollar_c3)
| cc(dollar_c6) ),
file('KRS142+1.p',unknown),
[] ).
cnf(29,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cc(dollar_c3)
| cc(dollar_c6) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[28]),8]),
[iquote('copy,28,unit_del,8')] ).
cnf(30,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cc(dollar_c3)
| rp(dollar_c6,dollar_c5) ),
file('KRS142+1.p',unknown),
[] ).
cnf(31,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cc(dollar_c3)
| rp(dollar_c6,dollar_c5) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[30]),8]),
[iquote('copy,30,unit_del,8')] ).
cnf(32,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cc(dollar_c3)
| rp(dollar_c6,dollar_c4) ),
file('KRS142+1.p',unknown),
[] ).
cnf(33,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cc(dollar_c3)
| rp(dollar_c6,dollar_c4) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[32]),8]),
[iquote('copy,32,unit_del,8')] ).
cnf(34,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cc(dollar_c3)
| dollar_c5 != dollar_c4 ),
file('KRS142+1.p',unknown),
[] ).
cnf(35,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cc(dollar_c3)
| dollar_c5 != dollar_c4 ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[34]),8]),
[iquote('copy,34,unit_del,8')] ).
cnf(36,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| cc(dollar_c6) ),
file('KRS142+1.p',unknown),
[] ).
cnf(37,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| cc(dollar_c6) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[36]),8]),
[iquote('copy,36,unit_del,8')] ).
cnf(38,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| rp(dollar_c6,dollar_c5) ),
file('KRS142+1.p',unknown),
[] ).
cnf(39,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| rp(dollar_c6,dollar_c5) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[38]),8]),
[iquote('copy,38,unit_del,8')] ).
cnf(40,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| rp(dollar_c6,dollar_c4) ),
file('KRS142+1.p',unknown),
[] ).
cnf(41,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| rp(dollar_c6,dollar_c4) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[40]),8]),
[iquote('copy,40,unit_del,8')] ).
cnf(42,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| dollar_c5 != dollar_c4 ),
file('KRS142+1.p',unknown),
[] ).
cnf(43,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A)
| dollar_c5 != dollar_c4 ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[42]),8]),
[iquote('copy,42,unit_del,8')] ).
cnf(45,axiom,
A = A,
file('KRS142+1.p',unknown),
[] ).
cnf(46,axiom,
cowlThing(A),
file('KRS142+1.p',unknown),
[] ).
cnf(47,axiom,
( xsd_string(A)
| xsd_integer(A) ),
file('KRS142+1.p',unknown),
[] ).
cnf(48,plain,
( xsd_integer(dollar_c2)
| cc(dollar_c3)
| rp(dollar_c6,dollar_c4) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[47,33,46])]),
[iquote('hyper,47,33,46,factor_simp')] ).
cnf(49,plain,
( xsd_integer(dollar_c2)
| cc(dollar_c3)
| rp(dollar_c6,dollar_c5) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[47,31,46])]),
[iquote('hyper,47,31,46,factor_simp')] ).
cnf(50,plain,
( xsd_integer(dollar_c2)
| cc(dollar_c3)
| cc(dollar_c6) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[47,29,46])]),
[iquote('hyper,47,29,46,factor_simp')] ).
cnf(53,plain,
( cc(dollar_c3)
| cc(dollar_c6)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[50,13,46])])]),
[iquote('hyper,50,13,46,factor_simp,factor_simp')] ).
cnf(59,plain,
( cc(dollar_c3)
| cc(dollar_c6) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[53,9,50])])]),
[iquote('hyper,53,9,50,factor_simp,factor_simp')] ).
cnf(60,plain,
( cc(dollar_c3)
| rp(dollar_c6,dollar_c4)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[48,17,46])])]),
[iquote('hyper,48,17,46,factor_simp,factor_simp')] ).
cnf(80,plain,
( cc(dollar_c3)
| rp(dollar_c6,dollar_c5)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[49,15,46])])]),
[iquote('hyper,49,15,46,factor_simp,factor_simp')] ).
cnf(86,plain,
( cc(dollar_c3)
| rp(dollar_c6,dollar_c4) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[60,9,48])])]),
[iquote('hyper,60,9,48,factor_simp,factor_simp')] ).
cnf(87,plain,
( rp(dollar_c6,dollar_c4)
| rp(dollar_c3,dollar_f1(dollar_c3)) ),
inference(hyper,[status(thm)],[86,10]),
[iquote('hyper,86,10')] ).
cnf(91,plain,
( cc(dollar_c3)
| rp(dollar_c6,dollar_c5) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[80,9,49])])]),
[iquote('hyper,80,9,49,factor_simp,factor_simp')] ).
cnf(92,plain,
( rp(dollar_c6,dollar_c5)
| rp(dollar_c3,dollar_f1(dollar_c3)) ),
inference(hyper,[status(thm)],[91,10]),
[iquote('hyper,91,10')] ).
cnf(96,plain,
( rp(dollar_c6,dollar_c4)
| xsd_integer(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[87,41,46,47])])]),
[iquote('hyper,87,41,46,47,factor_simp,factor_simp')] ).
cnf(107,plain,
( rp(dollar_c6,dollar_c4)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[96,25,46,87])])]),
[iquote('hyper,96,25,46,87,factor_simp,factor_simp')] ).
cnf(111,plain,
rp(dollar_c6,dollar_c4),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[107,9,96])]),
[iquote('hyper,107,9,96,factor_simp')] ).
cnf(115,plain,
( rp(dollar_c6,dollar_c5)
| xsd_integer(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[92,39,46,47])])]),
[iquote('hyper,92,39,46,47,factor_simp,factor_simp')] ).
cnf(123,plain,
( rp(dollar_c6,dollar_c5)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[115,23,46,92])])]),
[iquote('hyper,115,23,46,92,factor_simp,factor_simp')] ).
cnf(127,plain,
rp(dollar_c6,dollar_c5),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[123,9,115])]),
[iquote('hyper,123,9,115,factor_simp')] ).
cnf(128,plain,
( dollar_c5 = dollar_c4
| cc(dollar_c3) ),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[127,11,59,111])]),
[iquote('hyper,127,11,59,111,flip.1')] ).
cnf(134,plain,
( ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| cc(dollar_c3) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[128,35]),46,45])]),
[iquote('para_from,128.1.1,35.5.1,unit_del,46,45,factor_simp')] ).
cnf(136,plain,
( xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| cc(dollar_c3) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[128,19]),46,45])]),
[iquote('para_from,128.1.1,19.5.1,unit_del,46,45,factor_simp')] ).
cnf(138,plain,
( xsd_integer(dollar_c2)
| cc(dollar_c3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[134,47])]),
[iquote('hyper,134,47,factor_simp')] ).
cnf(141,plain,
( xsd_string(dollar_c2)
| cc(dollar_c3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[136,138])]),
[iquote('hyper,136,138,factor_simp')] ).
cnf(142,plain,
cc(dollar_c3),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[141,9,138])]),
[iquote('hyper,141,9,138,factor_simp')] ).
cnf(152,plain,
rp(dollar_c3,dollar_f1(dollar_c3)),
inference(hyper,[status(thm)],[142,10]),
[iquote('hyper,142,10')] ).
cnf(154,plain,
( xsd_integer(dollar_c2)
| cc(dollar_c6) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[152,37,46,47])]),
[iquote('hyper,152,37,46,47,factor_simp')] ).
cnf(158,plain,
( cc(dollar_c6)
| xsd_string(dollar_c2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[154,21,46,152])]),
[iquote('hyper,154,21,46,152,factor_simp')] ).
cnf(161,plain,
cc(dollar_c6),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[158,9,154])]),
[iquote('hyper,158,9,154,factor_simp')] ).
cnf(170,plain,
dollar_c5 = dollar_c4,
inference(hyper,[status(thm)],[161,11,127,111]),
[iquote('hyper,161,11,127,111')] ).
cnf(172,plain,
( ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A) ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[43]),170]),46,45]),
[iquote('back_demod,43,demod,170,unit_del,46,45')] ).
cnf(173,plain,
( xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ rp(dollar_c3,A) ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[27]),170]),46,45]),
[iquote('back_demod,27,demod,170,unit_del,46,45')] ).
cnf(179,plain,
xsd_integer(dollar_c2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[172,47,152])]),
[iquote('hyper,172,47,152,factor_simp')] ).
cnf(181,plain,
xsd_string(dollar_c2),
inference(hyper,[status(thm)],[173,179,152]),
[iquote('hyper,173,179,152')] ).
cnf(182,plain,
$false,
inference(hyper,[status(thm)],[181,9,179]),
[iquote('hyper,181,9,179')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS142+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.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 03:24:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.60/1.81 ----- Otter 3.3f, August 2004 -----
% 1.60/1.81 The process was started by sandbox2 on n003.cluster.edu,
% 1.60/1.81 Wed Jul 27 03:24:56 2022
% 1.60/1.81 The command was "./otter". The process ID is 30605.
% 1.60/1.81
% 1.60/1.81 set(prolog_style_variables).
% 1.60/1.81 set(auto).
% 1.60/1.81 dependent: set(auto1).
% 1.60/1.81 dependent: set(process_input).
% 1.60/1.81 dependent: clear(print_kept).
% 1.60/1.81 dependent: clear(print_new_demod).
% 1.60/1.81 dependent: clear(print_back_demod).
% 1.60/1.81 dependent: clear(print_back_sub).
% 1.60/1.81 dependent: set(control_memory).
% 1.60/1.81 dependent: assign(max_mem, 12000).
% 1.60/1.81 dependent: assign(pick_given_ratio, 4).
% 1.60/1.81 dependent: assign(stats_level, 1).
% 1.60/1.81 dependent: assign(max_seconds, 10800).
% 1.60/1.81 clear(print_given).
% 1.60/1.81
% 1.60/1.81 formula_list(usable).
% 1.60/1.81 all A (A=A).
% 1.60/1.81 all A B (A=B&cc(A)->cc(B)).
% 1.60/1.81 all A B (A=B&cowlNothing(A)->cowlNothing(B)).
% 1.60/1.81 all A B (A=B&cowlThing(A)->cowlThing(B)).
% 1.60/1.81 all A B C (A=B&rp(A,C)->rp(B,C)).
% 1.60/1.81 all A B C (A=B&rp(C,A)->rp(C,B)).
% 1.60/1.81 all A B (A=B&xsd_integer(A)->xsd_integer(B)).
% 1.60/1.81 all A B (A=B&xsd_string(A)->xsd_string(B)).
% 1.60/1.81 all X (cowlThing(X)& -cowlNothing(X)).
% 1.60/1.81 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.60/1.81 all X (cc(X)-> (exists Y0 rp(X,Y0))& (all Y0 Y1 (rp(X,Y0)&rp(X,Y1)->Y0=Y1))).
% 1.60/1.81 -((all X (cowlThing(X)& -cowlNothing(X)))& (all X (xsd_string(X)<-> -xsd_integer(X)))& (all X (cc(X)-> (exists Y0 rp(X,Y0))))& (all X (cc(X)-> (all Y0 Y1 (rp(X,Y0)&rp(X,Y1)->Y0=Y1))))).
% 1.60/1.81 end_of_list.
% 1.60/1.81
% 1.60/1.81 -------> usable clausifies to:
% 1.60/1.81
% 1.60/1.81 list(usable).
% 1.60/1.81 0 [] A=A.
% 1.60/1.81 0 [] A!=B| -cc(A)|cc(B).
% 1.60/1.81 0 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.60/1.81 0 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.60/1.81 0 [] A!=B| -rp(A,C)|rp(B,C).
% 1.60/1.81 0 [] A!=B| -rp(C,A)|rp(C,B).
% 1.60/1.81 0 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.60/1.81 0 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.60/1.81 0 [] cowlThing(X).
% 1.60/1.81 0 [] -cowlNothing(X).
% 1.60/1.81 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.60/1.81 0 [] xsd_string(X)|xsd_integer(X).
% 1.60/1.81 0 [] -cc(X)|rp(X,$f1(X)).
% 1.60/1.81 0 [] -cc(X)| -rp(X,Y0)| -rp(X,Y1)|Y0=Y1.
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|cc($c3)|cc($c6).
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|cc($c3)|rp($c6,$c5).
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|cc($c3)|rp($c6,$c4).
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)|cc($c3)|$c5!=$c4.
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c3,Y0)|cc($c6).
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c3,Y0)|rp($c6,$c5).
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c3,Y0)|rp($c6,$c4).
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c3,Y0)|$c5!=$c4.
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|cc($c3)|cc($c6).
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|cc($c3)|rp($c6,$c5).
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|cc($c3)|rp($c6,$c4).
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)|cc($c3)|$c5!=$c4.
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c3,Y0)|cc($c6).
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c3,Y0)|rp($c6,$c5).
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c3,Y0)|rp($c6,$c4).
% 1.60/1.81 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c3,Y0)|$c5!=$c4.
% 1.60/1.81 end_of_list.
% 1.60/1.81
% 1.60/1.81 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.60/1.81
% 1.60/1.81 This ia a non-Horn set with equality. The strategy will be
% 1.60/1.81 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.60/1.81 deletion, with positive clauses in sos and nonpositive
% 1.60/1.81 clauses in usable.
% 1.60/1.81
% 1.60/1.81 dependent: set(knuth_bendix).
% 1.60/1.81 dependent: set(anl_eq).
% 1.60/1.81 dependent: set(para_from).
% 1.60/1.81 dependent: set(para_into).
% 1.60/1.81 dependent: clear(para_from_right).
% 1.60/1.81 dependent: clear(para_into_right).
% 1.60/1.81 dependent: set(para_from_vars).
% 1.60/1.81 dependent: set(eq_units_both_ways).
% 1.60/1.81 dependent: set(dynamic_demod_all).
% 1.60/1.81 dependent: set(dynamic_demod).
% 1.60/1.81 dependent: set(order_eq).
% 1.60/1.81 dependent: set(back_demod).
% 1.60/1.81 dependent: set(lrpo).
% 1.60/1.81 dependent: set(hyper_res).
% 1.60/1.81 dependent: set(unit_deletion).
% 1.60/1.81 dependent: set(factor).
% 1.60/1.81
% 1.60/1.81 ------------> process usable:
% 1.65/1.82 ** KEPT (pick-wt=7): 1 [] A!=B| -cc(A)|cc(B).
% 1.65/1.82 ** KEPT (pick-wt=7): 2 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.65/1.82 ** KEPT (pick-wt=7): 3 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.65/1.82 ** KEPT (pick-wt=9): 4 [] A!=B| -rp(A,C)|rp(B,C).
% 1.65/1.82 ** KEPT (pick-wt=9): 5 [] A!=B| -rp(C,A)|rp(C,B).
% 1.65/1.82 ** KEPT (pick-wt=7): 6 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.65/1.82 ** KEPT (pick-wt=7): 7 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.65/1.82 ** KEPT (pick-wt=2): 8 [] -cowlNothing(A).
% 1.65/1.82 ** KEPT (pick-wt=4): 9 [] -xsd_string(A)| -xsd_integer(A).
% 1.65/1.82 ** KEPT (pick-wt=6): 10 [] -cc(A)|rp(A,$f1(A)).
% 1.65/1.82 ** KEPT (pick-wt=11): 11 [] -cc(A)| -rp(A,B)| -rp(A,C)|B=C.
% 1.65/1.82 ** KEPT (pick-wt=10): 13 [copy,12,unit_del,8] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|cc($c3)|cc($c6).
% 1.65/1.82 ** KEPT (pick-wt=11): 15 [copy,14,unit_del,8] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|cc($c3)|rp($c6,$c5).
% 1.65/1.82 ** KEPT (pick-wt=11): 17 [copy,16,unit_del,8] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|cc($c3)|rp($c6,$c4).
% 1.65/1.82 ** KEPT (pick-wt=11): 19 [copy,18,unit_del,8] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)|cc($c3)|$c5!=$c4.
% 1.65/1.82 ** KEPT (pick-wt=11): 21 [copy,20,unit_del,8] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c3,A)|cc($c6).
% 1.65/1.82 ** KEPT (pick-wt=12): 23 [copy,22,unit_del,8] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c3,A)|rp($c6,$c5).
% 1.65/1.82 ** KEPT (pick-wt=12): 25 [copy,24,unit_del,8] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c3,A)|rp($c6,$c4).
% 1.65/1.82 ** KEPT (pick-wt=12): 27 [copy,26,unit_del,8] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -rp($c3,A)|$c5!=$c4.
% 1.65/1.82 ** KEPT (pick-wt=10): 29 [copy,28,unit_del,8] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|cc($c3)|cc($c6).
% 1.65/1.82 ** KEPT (pick-wt=11): 31 [copy,30,unit_del,8] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|cc($c3)|rp($c6,$c5).
% 1.65/1.82 ** KEPT (pick-wt=11): 33 [copy,32,unit_del,8] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|cc($c3)|rp($c6,$c4).
% 1.65/1.82 ** KEPT (pick-wt=11): 35 [copy,34,unit_del,8] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)|cc($c3)|$c5!=$c4.
% 1.65/1.82 ** KEPT (pick-wt=11): 37 [copy,36,unit_del,8] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c3,A)|cc($c6).
% 1.65/1.82 ** KEPT (pick-wt=12): 39 [copy,38,unit_del,8] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c3,A)|rp($c6,$c5).
% 1.65/1.82 ** KEPT (pick-wt=12): 41 [copy,40,unit_del,8] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c3,A)|rp($c6,$c4).
% 1.65/1.82 ** KEPT (pick-wt=12): 43 [copy,42,unit_del,8] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -rp($c3,A)|$c5!=$c4.
% 1.65/1.82 8 back subsumes 2.
% 1.65/1.82
% 1.65/1.82 ------------> process sos:
% 1.65/1.82 ** KEPT (pick-wt=3): 45 [] A=A.
% 1.65/1.82 ** KEPT (pick-wt=2): 46 [] cowlThing(A).
% 1.65/1.82 ** KEPT (pick-wt=4): 47 [] xsd_string(A)|xsd_integer(A).
% 1.65/1.82 Following clause subsumed by 45 during input processing: 0 [copy,45,flip.1] A=A.
% 1.65/1.82 45 back subsumes 44.
% 1.65/1.82 46 back subsumes 3.
% 1.65/1.82
% 1.65/1.82 ======= end of input processing =======
% 1.65/1.82
% 1.65/1.82 =========== start of search ===========
% 1.65/1.82
% 1.65/1.82 -------- PROOF --------
% 1.65/1.82
% 1.65/1.82 -----> EMPTY CLAUSE at 0.01 sec ----> 182 [hyper,181,9,179] $F.
% 1.65/1.82
% 1.65/1.82 Length of proof is 48. Level of proof is 21.
% 1.65/1.82
% 1.65/1.82 ---------------- PROOF ----------------
% 1.65/1.82 % SZS status Theorem
% 1.65/1.82 % SZS output start Refutation
% See solution above
% 1.65/1.82 ------------ end of proof -------------
% 1.65/1.82
% 1.65/1.82
% 1.65/1.82 Search stopped by max_proofs option.
% 1.65/1.82
% 1.65/1.82
% 1.65/1.82 Search stopped by max_proofs option.
% 1.65/1.82
% 1.65/1.82 ============ end of search ============
% 1.65/1.82
% 1.65/1.82 -------------- statistics -------------
% 1.65/1.82 clauses given 45
% 1.65/1.82 clauses generated 399
% 1.65/1.82 clauses kept 163
% 1.65/1.82 clauses forward subsumed 272
% 1.65/1.82 clauses back subsumed 120
% 1.65/1.82 Kbytes malloced 976
% 1.65/1.82
% 1.65/1.82 ----------- times (seconds) -----------
% 1.65/1.82 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.65/1.82 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.82 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.65/1.82
% 1.65/1.82 That finishes the proof of the theorem.
% 1.65/1.82
% 1.65/1.82 Process 30605 finished Wed Jul 27 03:24:58 2022
% 1.65/1.82 Otter interrupted
% 1.65/1.82 PROOF FOUND
%------------------------------------------------------------------------------