%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS129+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 13:01:13 EDT 2022
% Result : Theorem 1.98s 2.17s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 8 unt; 3 nHn; 14 RR)
% Number of literals : 35 ( 0 equ; 18 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(13,axiom,
~ cowlNothing(A),
file('KRS129+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
file('KRS129+1.p',unknown),
[] ).
cnf(24,axiom,
( cEuroMP(A)
| ~ risEuroMPFrom(A,B)
| ~ cowlThing(B) ),
file('KRS129+1.p',unknown),
[] ).
cnf(27,axiom,
( risEuroMPFrom(A,B)
| ~ rhasEuroMP(B,A) ),
file('KRS129+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ cEuroMP(iKinnock) ),
file('KRS129+1.p',unknown),
[] ).
cnf(29,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ cEuroMP(iKinnock) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[28]),13]),
[iquote('copy,28,unit_del,13')] ).
cnf(30,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cEuroMP(iKinnock) ),
file('KRS129+1.p',unknown),
[] ).
cnf(31,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cEuroMP(iKinnock) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[30]),13]),
[iquote('copy,30,unit_del,13')] ).
cnf(33,axiom,
cowlThing(A),
file('KRS129+1.p',unknown),
[] ).
cnf(34,axiom,
( xsd_string(A)
| xsd_integer(A) ),
file('KRS129+1.p',unknown),
[] ).
cnf(42,axiom,
rhasEuroMP(iUK,iKinnock),
file('KRS129+1.p',unknown),
[] ).
cnf(55,plain,
risEuroMPFrom(iKinnock,iUK),
inference(hyper,[status(thm)],[42,27]),
[iquote('hyper,42,27')] ).
cnf(62,plain,
cEuroMP(iKinnock),
inference(hyper,[status(thm)],[55,24,33]),
[iquote('hyper,55,24,33')] ).
cnf(69,plain,
xsd_integer(dollar_c2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[62,31,33,34])]),
[iquote('hyper,62,31,33,34,factor_simp')] ).
cnf(77,plain,
xsd_string(dollar_c2),
inference(hyper,[status(thm)],[69,29,33,62]),
[iquote('hyper,69,29,33,62')] ).
cnf(100,plain,
$false,
inference(hyper,[status(thm)],[77,14,69]),
[iquote('hyper,77,14,69')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KRS129+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.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 03:52:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.98/2.16 ----- Otter 3.3f, August 2004 -----
% 1.98/2.16 The process was started by sandbox on n023.cluster.edu,
% 1.98/2.16 Wed Jul 27 03:52:33 2022
% 1.98/2.16 The command was "./otter". The process ID is 15423.
% 1.98/2.16
% 1.98/2.16 set(prolog_style_variables).
% 1.98/2.16 set(auto).
% 1.98/2.16 dependent: set(auto1).
% 1.98/2.16 dependent: set(process_input).
% 1.98/2.16 dependent: clear(print_kept).
% 1.98/2.16 dependent: clear(print_new_demod).
% 1.98/2.16 dependent: clear(print_back_demod).
% 1.98/2.16 dependent: clear(print_back_sub).
% 1.98/2.16 dependent: set(control_memory).
% 1.98/2.16 dependent: assign(max_mem, 12000).
% 1.98/2.16 dependent: assign(pick_given_ratio, 4).
% 1.98/2.16 dependent: assign(stats_level, 1).
% 1.98/2.16 dependent: assign(max_seconds, 10800).
% 1.98/2.16 clear(print_given).
% 1.98/2.16
% 1.98/2.16 formula_list(usable).
% 1.98/2.16 all A (A=A).
% 1.98/2.16 all A B (A=B&cEUCountry(A)->cEUCountry(B)).
% 1.98/2.16 all A B (A=B&cEuroMP(A)->cEuroMP(B)).
% 1.98/2.16 all A B (A=B&cEuropeanCountry(A)->cEuropeanCountry(B)).
% 1.98/2.16 all A B (A=B&cPerson(A)->cPerson(B)).
% 1.98/2.16 all A B (A=B&cowlNothing(A)->cowlNothing(B)).
% 1.98/2.16 all A B (A=B&cowlThing(A)->cowlThing(B)).
% 1.98/2.16 all A B C (A=B&rhasEuroMP(A,C)->rhasEuroMP(B,C)).
% 1.98/2.16 all A B C (A=B&rhasEuroMP(C,A)->rhasEuroMP(C,B)).
% 1.98/2.16 all A B C (A=B&risEuroMPFrom(A,C)->risEuroMPFrom(B,C)).
% 1.98/2.16 all A B C (A=B&risEuroMPFrom(C,A)->risEuroMPFrom(C,B)).
% 1.98/2.16 all A B (A=B&xsd_integer(A)->xsd_integer(B)).
% 1.98/2.16 all A B (A=B&xsd_string(A)->xsd_string(B)).
% 1.98/2.16 all X (cowlThing(X)& -cowlNothing(X)).
% 1.98/2.16 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.98/2.16 all X (cEUCountry(X)<->X=iBE|X=iFR|X=iES|X=iUK|X=iNL|X=iPT).
% 1.98/2.16 all X (cEuroMP(X)<-> (exists Y (risEuroMPFrom(X,Y)&cowlThing(Y)))).
% 1.98/2.16 all X Y (rhasEuroMP(X,Y)->cEUCountry(X)).
% 1.98/2.16 all X Y (risEuroMPFrom(X,Y)<->rhasEuroMP(Y,X)).
% 1.98/2.16 cEuropeanCountry(iBE).
% 1.98/2.16 cEuropeanCountry(iES).
% 1.98/2.16 cEuropeanCountry(iFR).
% 1.98/2.16 cPerson(iKinnock).
% 1.98/2.16 cEuropeanCountry(iNL).
% 1.98/2.16 cEuropeanCountry(iPT).
% 1.98/2.16 cEuropeanCountry(iUK).
% 1.98/2.16 rhasEuroMP(iUK,iKinnock).
% 1.98/2.16 -((all X (cowlThing(X)& -cowlNothing(X)))& (all X (xsd_string(X)<-> -xsd_integer(X)))&cEuroMP(iKinnock)).
% 1.98/2.16 end_of_list.
% 1.98/2.16
% 1.98/2.16 -------> usable clausifies to:
% 1.98/2.16
% 1.98/2.16 list(usable).
% 1.98/2.16 0 [] A=A.
% 1.98/2.16 0 [] A!=B| -cEUCountry(A)|cEUCountry(B).
% 1.98/2.16 0 [] A!=B| -cEuroMP(A)|cEuroMP(B).
% 1.98/2.16 0 [] A!=B| -cEuropeanCountry(A)|cEuropeanCountry(B).
% 1.98/2.16 0 [] A!=B| -cPerson(A)|cPerson(B).
% 1.98/2.16 0 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.98/2.16 0 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.98/2.16 0 [] A!=B| -rhasEuroMP(A,C)|rhasEuroMP(B,C).
% 1.98/2.16 0 [] A!=B| -rhasEuroMP(C,A)|rhasEuroMP(C,B).
% 1.98/2.16 0 [] A!=B| -risEuroMPFrom(A,C)|risEuroMPFrom(B,C).
% 1.98/2.16 0 [] A!=B| -risEuroMPFrom(C,A)|risEuroMPFrom(C,B).
% 1.98/2.16 0 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.98/2.16 0 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.98/2.16 0 [] cowlThing(X).
% 1.98/2.16 0 [] -cowlNothing(X).
% 1.98/2.16 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.98/2.16 0 [] xsd_string(X)|xsd_integer(X).
% 1.98/2.16 0 [] -cEUCountry(X)|X=iBE|X=iFR|X=iES|X=iUK|X=iNL|X=iPT.
% 1.98/2.16 0 [] cEUCountry(X)|X!=iBE.
% 1.98/2.16 0 [] cEUCountry(X)|X!=iFR.
% 1.98/2.16 0 [] cEUCountry(X)|X!=iES.
% 1.98/2.16 0 [] cEUCountry(X)|X!=iUK.
% 1.98/2.16 0 [] cEUCountry(X)|X!=iNL.
% 1.98/2.16 0 [] cEUCountry(X)|X!=iPT.
% 1.98/2.16 0 [] -cEuroMP(X)|risEuroMPFrom(X,$f1(X)).
% 1.98/2.16 0 [] -cEuroMP(X)|cowlThing($f1(X)).
% 1.98/2.16 0 [] cEuroMP(X)| -risEuroMPFrom(X,Y)| -cowlThing(Y).
% 1.98/2.16 0 [] -rhasEuroMP(X,Y)|cEUCountry(X).
% 1.98/2.16 0 [] -risEuroMPFrom(X,Y)|rhasEuroMP(Y,X).
% 1.98/2.16 0 [] risEuroMPFrom(X,Y)| -rhasEuroMP(Y,X).
% 1.98/2.16 0 [] cEuropeanCountry(iBE).
% 1.98/2.16 0 [] cEuropeanCountry(iES).
% 1.98/2.16 0 [] cEuropeanCountry(iFR).
% 1.98/2.16 0 [] cPerson(iKinnock).
% 1.98/2.16 0 [] cEuropeanCountry(iNL).
% 1.98/2.16 0 [] cEuropeanCountry(iPT).
% 1.98/2.16 0 [] cEuropeanCountry(iUK).
% 1.98/2.16 0 [] rhasEuroMP(iUK,iKinnock).
% 1.98/2.16 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cEuroMP(iKinnock).
% 1.98/2.16 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cEuroMP(iKinnock).
% 1.98/2.16 end_of_list.
% 1.98/2.16
% 1.98/2.16 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.98/2.16
% 1.98/2.16 This ia a non-Horn set with equality. The strategy will be
% 1.98/2.16 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.98/2.16 deletion, with positive clauses in sos and nonpositive
% 1.98/2.16 clauses in usable.
% 1.98/2.16
% 1.98/2.16 dependent: set(knuth_bendix).
% 1.98/2.16 dependent: set(anl_eq).
% 1.98/2.16 dependent: set(para_from).
% 1.98/2.16 dependent: set(para_into).
% 1.98/2.16 dependent: clear(para_from_right).
% 1.98/2.16 dependent: clear(para_into_right).
% 1.98/2.16 dependent: set(para_from_vars).
% 1.98/2.16 dependent: set(eq_units_both_ways).
% 1.98/2.16 dependent: set(dynamic_demod_all).
% 1.98/2.16 dependent: set(dynamic_demod).
% 1.98/2.16 dependent: set(order_eq).
% 1.98/2.16 dependent: set(back_demod).
% 1.98/2.16 dependent: set(lrpo).
% 1.98/2.17 dependent: set(hyper_res).
% 1.98/2.17 dependent: set(unit_deletion).
% 1.98/2.17 dependent: set(factor).
% 1.98/2.17
% 1.98/2.17 ------------> process usable:
% 1.98/2.17 ** KEPT (pick-wt=7): 1 [] A!=B| -cEUCountry(A)|cEUCountry(B).
% 1.98/2.17 ** KEPT (pick-wt=7): 2 [] A!=B| -cEuroMP(A)|cEuroMP(B).
% 1.98/2.17 ** KEPT (pick-wt=7): 3 [] A!=B| -cEuropeanCountry(A)|cEuropeanCountry(B).
% 1.98/2.17 ** KEPT (pick-wt=7): 4 [] A!=B| -cPerson(A)|cPerson(B).
% 1.98/2.17 ** KEPT (pick-wt=7): 5 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.98/2.17 ** KEPT (pick-wt=7): 6 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.98/2.17 ** KEPT (pick-wt=9): 7 [] A!=B| -rhasEuroMP(A,C)|rhasEuroMP(B,C).
% 1.98/2.17 ** KEPT (pick-wt=9): 8 [] A!=B| -rhasEuroMP(C,A)|rhasEuroMP(C,B).
% 1.98/2.17 ** KEPT (pick-wt=9): 9 [] A!=B| -risEuroMPFrom(A,C)|risEuroMPFrom(B,C).
% 1.98/2.17 ** KEPT (pick-wt=9): 10 [] A!=B| -risEuroMPFrom(C,A)|risEuroMPFrom(C,B).
% 1.98/2.17 ** KEPT (pick-wt=7): 11 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.98/2.17 ** KEPT (pick-wt=7): 12 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.98/2.17 ** KEPT (pick-wt=2): 13 [] -cowlNothing(A).
% 1.98/2.17 ** KEPT (pick-wt=4): 14 [] -xsd_string(A)| -xsd_integer(A).
% 1.98/2.17 ** KEPT (pick-wt=20): 15 [] -cEUCountry(A)|A=iBE|A=iFR|A=iES|A=iUK|A=iNL|A=iPT.
% 1.98/2.17 ** KEPT (pick-wt=5): 16 [] cEUCountry(A)|A!=iBE.
% 1.98/2.17 ** KEPT (pick-wt=5): 17 [] cEUCountry(A)|A!=iFR.
% 1.98/2.17 ** KEPT (pick-wt=5): 18 [] cEUCountry(A)|A!=iES.
% 1.98/2.17 ** KEPT (pick-wt=5): 19 [] cEUCountry(A)|A!=iUK.
% 1.98/2.17 ** KEPT (pick-wt=5): 20 [] cEUCountry(A)|A!=iNL.
% 1.98/2.17 ** KEPT (pick-wt=5): 21 [] cEUCountry(A)|A!=iPT.
% 1.98/2.17 ** KEPT (pick-wt=6): 22 [] -cEuroMP(A)|risEuroMPFrom(A,$f1(A)).
% 1.98/2.17 ** KEPT (pick-wt=5): 23 [] -cEuroMP(A)|cowlThing($f1(A)).
% 1.98/2.17 ** KEPT (pick-wt=7): 24 [] cEuroMP(A)| -risEuroMPFrom(A,B)| -cowlThing(B).
% 1.98/2.17 ** KEPT (pick-wt=5): 25 [] -rhasEuroMP(A,B)|cEUCountry(A).
% 1.98/2.17 ** KEPT (pick-wt=6): 26 [] -risEuroMPFrom(A,B)|rhasEuroMP(B,A).
% 1.98/2.17 ** KEPT (pick-wt=6): 27 [] risEuroMPFrom(A,B)| -rhasEuroMP(B,A).
% 1.98/2.17 ** KEPT (pick-wt=8): 29 [copy,28,unit_del,13] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cEuroMP(iKinnock).
% 1.98/2.17 ** KEPT (pick-wt=8): 31 [copy,30,unit_del,13] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cEuroMP(iKinnock).
% 1.98/2.17 13 back subsumes 5.
% 1.98/2.17
% 1.98/2.17 ------------> process sos:
% 1.98/2.17 ** KEPT (pick-wt=3): 32 [] A=A.
% 1.98/2.17 ** KEPT (pick-wt=2): 33 [] cowlThing(A).
% 1.98/2.17 ** KEPT (pick-wt=4): 34 [] xsd_string(A)|xsd_integer(A).
% 1.98/2.17 ** KEPT (pick-wt=2): 35 [] cEuropeanCountry(iBE).
% 1.98/2.17 ** KEPT (pick-wt=2): 36 [] cEuropeanCountry(iES).
% 1.98/2.17 ** KEPT (pick-wt=2): 37 [] cEuropeanCountry(iFR).
% 1.98/2.17 ** KEPT (pick-wt=2): 38 [] cPerson(iKinnock).
% 1.98/2.17 ** KEPT (pick-wt=2): 39 [] cEuropeanCountry(iNL).
% 1.98/2.17 ** KEPT (pick-wt=2): 40 [] cEuropeanCountry(iPT).
% 1.98/2.17 ** KEPT (pick-wt=2): 41 [] cEuropeanCountry(iUK).
% 1.98/2.17 ** KEPT (pick-wt=3): 42 [] rhasEuroMP(iUK,iKinnock).
% 1.98/2.17 Following clause subsumed by 32 during input processing: 0 [copy,32,flip.1] A=A.
% 1.98/2.17 33 back subsumes 23.
% 1.98/2.17 33 back subsumes 6.
% 1.98/2.17
% 1.98/2.17 ======= end of input processing =======
% 1.98/2.17
% 1.98/2.17 =========== start of search ===========
% 1.98/2.17
% 1.98/2.17 -------- PROOF --------
% 1.98/2.17
% 1.98/2.17 -----> EMPTY CLAUSE at 0.01 sec ----> 100 [hyper,77,14,69] $F.
% 1.98/2.17
% 1.98/2.17 Length of proof is 6. Level of proof is 4.
% 1.98/2.17
% 1.98/2.17 ---------------- PROOF ----------------
% 1.98/2.17 % SZS status Theorem
% 1.98/2.17 % SZS output start Refutation
% See solution above
% 1.98/2.17 ------------ end of proof -------------
% 1.98/2.17
% 1.98/2.17
% 1.98/2.17 Search stopped by max_proofs option.
% 1.98/2.17
% 1.98/2.17
% 1.98/2.17 Search stopped by max_proofs option.
% 1.98/2.17
% 1.98/2.17 ============ end of search ============
% 1.98/2.17
% 1.98/2.17 -------------- statistics -------------
% 1.98/2.17 clauses given 22
% 1.98/2.17 clauses generated 243
% 1.98/2.17 clauses kept 97
% 1.98/2.17 clauses forward subsumed 184
% 1.98/2.17 clauses back subsumed 5
% 1.98/2.17 Kbytes malloced 976
% 1.98/2.17
% 1.98/2.17 ----------- times (seconds) -----------
% 1.98/2.17 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.98/2.17 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.98/2.17 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.98/2.17
% 1.98/2.17 That finishes the proof of the theorem.
% 1.98/2.17
% 1.98/2.17 Process 15423 finished Wed Jul 27 03:52:35 2022
% 1.98/2.17 Otter interrupted
% 1.98/2.17 PROOF FOUND
%------------------------------------------------------------------------------