TSTP Solution File: KRS152+1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS152+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 13:01:27 EDT 2022
% Result : Theorem 1.65s 1.87s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 18 ( 10 unt; 3 nHn; 16 RR)
% Number of literals : 49 ( 0 equ; 30 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ cowlNothing(A),
file('KRS152+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
file('KRS152+1.p',unknown),
[] ).
cnf(5,axiom,
( cC10(A)
| ~ cC2(A)
| ~ cC4(A) ),
file('KRS152+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ cTEST(A)
| cC12(A) ),
file('KRS152+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
file('KRS152+1.p',unknown),
[] ).
cnf(22,plain,
( ~ cowlThing(dollar_c1)
| xsd_string(dollar_c2)
| ~ xsd_integer(dollar_c2)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[21]),1]),
[iquote('copy,21,unit_del,1')] ).
cnf(23,axiom,
( ~ cowlThing(dollar_c1)
| cowlNothing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
file('KRS152+1.p',unknown),
[] ).
cnf(24,plain,
( ~ cowlThing(dollar_c1)
| ~ xsd_string(dollar_c2)
| xsd_integer(dollar_c2)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[23]),1]),
[iquote('copy,23,unit_del,1')] ).
cnf(25,axiom,
cowlThing(A),
file('KRS152+1.p',unknown),
[] ).
cnf(26,axiom,
( xsd_string(A)
| xsd_integer(A) ),
file('KRS152+1.p',unknown),
[] ).
cnf(27,axiom,
cTEST(iV21080),
file('KRS152+1.p',unknown),
[] ).
cnf(29,axiom,
cC2(iV21081),
file('KRS152+1.p',unknown),
[] ).
cnf(30,axiom,
cC4(iV21081),
file('KRS152+1.p',unknown),
[] ).
cnf(31,plain,
cC12(iV21080),
inference(hyper,[status(thm)],[27,15]),
[iquote('hyper,27,15')] ).
cnf(32,plain,
cC10(iV21081),
inference(hyper,[status(thm)],[30,5,29]),
[iquote('hyper,30,5,29')] ).
cnf(35,plain,
xsd_integer(dollar_c2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[32,24,25,26,25,31,25])]),
[iquote('hyper,32,24,25,26,25,31,25,factor_simp')] ).
cnf(36,plain,
xsd_string(dollar_c2),
inference(hyper,[status(thm)],[35,22,25,25,31,32,25]),
[iquote('hyper,35,22,25,25,31,32,25')] ).
cnf(37,plain,
$false,
inference(hyper,[status(thm)],[36,2,35]),
[iquote('hyper,36,2,35')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS152+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n016.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 03:47:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.65/1.87 ----- Otter 3.3f, August 2004 -----
% 1.65/1.87 The process was started by sandbox2 on n016.cluster.edu,
% 1.65/1.87 Wed Jul 27 03:47:37 2022
% 1.65/1.87 The command was "./otter". The process ID is 22717.
% 1.65/1.87
% 1.65/1.87 set(prolog_style_variables).
% 1.65/1.87 set(auto).
% 1.65/1.87 dependent: set(auto1).
% 1.65/1.87 dependent: set(process_input).
% 1.65/1.87 dependent: clear(print_kept).
% 1.65/1.87 dependent: clear(print_new_demod).
% 1.65/1.87 dependent: clear(print_back_demod).
% 1.65/1.87 dependent: clear(print_back_sub).
% 1.65/1.87 dependent: set(control_memory).
% 1.65/1.87 dependent: assign(max_mem, 12000).
% 1.65/1.87 dependent: assign(pick_given_ratio, 4).
% 1.65/1.87 dependent: assign(stats_level, 1).
% 1.65/1.87 dependent: assign(max_seconds, 10800).
% 1.65/1.87 clear(print_given).
% 1.65/1.87
% 1.65/1.87 formula_list(usable).
% 1.65/1.87 all X (cowlThing(X)& -cowlNothing(X)).
% 1.65/1.87 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.65/1.87 all X (cC10(X)<->cC2(X)&cC4(X)).
% 1.65/1.87 all X (cC12(X)<-> (exists Y (rR1(X,Y)&cC10(Y)))).
% 1.65/1.87 all X (cC6(X)<-> -cC2(X)&cC4(X)).
% 1.65/1.87 all X (cC8(X)<-> (exists Y (rR1(X,Y)&cC6(Y)))).
% 1.65/1.87 all X (cTEST(X)<->cC12(X)& -cC8(X)).
% 1.65/1.87 cTEST(iV21080).
% 1.65/1.87 cowlThing(iV21080).
% 1.65/1.87 all X (rR1(iV21080,X)-> -cC6(X)).
% 1.65/1.87 -cC8(iV21080).
% 1.65/1.87 rR1(iV21080,iV21081).
% 1.65/1.87 -cC6(iV21081).
% 1.65/1.87 cowlThing(iV21081).
% 1.65/1.87 cC2(iV21081).
% 1.65/1.87 cC4(iV21081).
% 1.65/1.87 -((all X (cowlThing(X)& -cowlNothing(X)))& (all X (xsd_string(X)<-> -xsd_integer(X)))&cowlThing(iV21080)&cC12(iV21080)&cC10(iV21081)&cowlThing(iV21081)).
% 1.65/1.87 end_of_list.
% 1.65/1.87
% 1.65/1.87 -------> usable clausifies to:
% 1.65/1.87
% 1.65/1.87 list(usable).
% 1.65/1.87 0 [] cowlThing(X).
% 1.65/1.87 0 [] -cowlNothing(X).
% 1.65/1.87 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.65/1.87 0 [] xsd_string(X)|xsd_integer(X).
% 1.65/1.87 0 [] -cC10(X)|cC2(X).
% 1.65/1.87 0 [] -cC10(X)|cC4(X).
% 1.65/1.87 0 [] cC10(X)| -cC2(X)| -cC4(X).
% 1.65/1.87 0 [] -cC12(X)|rR1(X,$f1(X)).
% 1.65/1.87 0 [] -cC12(X)|cC10($f1(X)).
% 1.65/1.87 0 [] cC12(X)| -rR1(X,Y)| -cC10(Y).
% 1.65/1.87 0 [] -cC6(X)| -cC2(X).
% 1.65/1.87 0 [] -cC6(X)|cC4(X).
% 1.65/1.87 0 [] cC6(X)|cC2(X)| -cC4(X).
% 1.65/1.87 0 [] -cC8(X)|rR1(X,$f2(X)).
% 1.65/1.87 0 [] -cC8(X)|cC6($f2(X)).
% 1.65/1.87 0 [] cC8(X)| -rR1(X,Y)| -cC6(Y).
% 1.65/1.87 0 [] -cTEST(X)|cC12(X).
% 1.65/1.87 0 [] -cTEST(X)| -cC8(X).
% 1.65/1.87 0 [] cTEST(X)| -cC12(X)|cC8(X).
% 1.65/1.87 0 [] cTEST(iV21080).
% 1.65/1.87 0 [] cowlThing(iV21080).
% 1.65/1.87 0 [] -rR1(iV21080,X)| -cC6(X).
% 1.65/1.87 0 [] -cC8(iV21080).
% 1.65/1.87 0 [] rR1(iV21080,iV21081).
% 1.65/1.87 0 [] -cC6(iV21081).
% 1.65/1.87 0 [] cowlThing(iV21081).
% 1.65/1.87 0 [] cC2(iV21081).
% 1.65/1.87 0 [] cC4(iV21081).
% 1.65/1.87 0 [] -cowlThing($c1)|cowlNothing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cowlThing(iV21080)| -cC12(iV21080)| -cC10(iV21081)| -cowlThing(iV21081).
% 1.65/1.87 0 [] -cowlThing($c1)|cowlNothing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cowlThing(iV21080)| -cC12(iV21080)| -cC10(iV21081)| -cowlThing(iV21081).
% 1.65/1.87 end_of_list.
% 1.65/1.87
% 1.65/1.87 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=8.
% 1.65/1.87
% 1.65/1.87 This is a non-Horn set without equality. The strategy will
% 1.65/1.87 be ordered hyper_res, unit deletion, and factoring, with
% 1.65/1.87 satellites in sos and with nuclei in usable.
% 1.65/1.87
% 1.65/1.87 dependent: set(hyper_res).
% 1.65/1.87 dependent: set(factor).
% 1.65/1.87 dependent: set(unit_deletion).
% 1.65/1.87
% 1.65/1.87 ------------> process usable:
% 1.65/1.87 ** KEPT (pick-wt=2): 1 [] -cowlNothing(A).
% 1.65/1.87 ** KEPT (pick-wt=4): 2 [] -xsd_string(A)| -xsd_integer(A).
% 1.65/1.87 ** KEPT (pick-wt=4): 3 [] -cC10(A)|cC2(A).
% 1.65/1.87 ** KEPT (pick-wt=4): 4 [] -cC10(A)|cC4(A).
% 1.65/1.87 ** KEPT (pick-wt=6): 5 [] cC10(A)| -cC2(A)| -cC4(A).
% 1.65/1.87 ** KEPT (pick-wt=6): 6 [] -cC12(A)|rR1(A,$f1(A)).
% 1.65/1.87 ** KEPT (pick-wt=5): 7 [] -cC12(A)|cC10($f1(A)).
% 1.65/1.87 ** KEPT (pick-wt=7): 8 [] cC12(A)| -rR1(A,B)| -cC10(B).
% 1.65/1.87 ** KEPT (pick-wt=4): 9 [] -cC6(A)| -cC2(A).
% 1.65/1.87 ** KEPT (pick-wt=4): 10 [] -cC6(A)|cC4(A).
% 1.65/1.87 ** KEPT (pick-wt=6): 11 [] cC6(A)|cC2(A)| -cC4(A).
% 1.65/1.87 ** KEPT (pick-wt=6): 12 [] -cC8(A)|rR1(A,$f2(A)).
% 1.65/1.87 ** KEPT (pick-wt=5): 13 [] -cC8(A)|cC6($f2(A)).
% 1.65/1.87 ** KEPT (pick-wt=7): 14 [] cC8(A)| -rR1(A,B)| -cC6(B).
% 1.65/1.87 ** KEPT (pick-wt=4): 15 [] -cTEST(A)|cC12(A).
% 1.65/1.87 ** KEPT (pick-wt=4): 16 [] -cTEST(A)| -cC8(A).
% 1.65/1.87 ** KEPT (pick-wt=6): 17 [] cTEST(A)| -cC12(A)|cC8(A).
% 1.65/1.87 ** KEPT (pick-wt=5): 18 [] -rR1(iV21080,A)| -cC6(A).
% 1.65/1.87 ** KEPT (pick-wt=2): 19 [] -cC8(iV21080).
% 1.65/1.87 ** KEPT (pick-wt=2): 20 [] -cC6(iV21081).
% 1.65/1.87 ** KEPT (pick-wt=14): 22 [copy,21,unit_del,1] -cowlThing($c1)|xsd_string($c2)| -xsd_integer($c2)| -cowlThing(iV21080)| -cC12(iV21080)| -cC10(iV21081)| -cowlThing(iV21081).
% 1.65/1.87 ** KEPT (pick-wt=14): 24 [copy,23,unit_del,1] -cowlThing($c1)| -xsd_string($c2)|xsd_integer($c2)| -cowlThing(iV21080)| -cC12(iV21080)| -cC10(iV21081)| -cowlThing(iV21081).
% 1.65/1.87
% 1.65/1.87 ------------> process sos:
% 1.65/1.87 ** KEPT (pick-wt=2): 25 [] cowlThing(A).
% 1.65/1.87 ** KEPT (pick-wt=4): 26 [] xsd_string(A)|xsd_integer(A).
% 1.65/1.87 ** KEPT (pick-wt=2): 27 [] cTEST(iV21080).
% 1.65/1.87 Following clause subsumed by 25 during input processing: 0 [] cowlThing(iV21080).
% 1.65/1.87 ** KEPT (pick-wt=3): 28 [] rR1(iV21080,iV21081).
% 1.65/1.87 Following clause subsumed by 25 during input processing: 0 [] cowlThing(iV21081).
% 1.65/1.87 ** KEPT (pick-wt=2): 29 [] cC2(iV21081).
% 1.65/1.87 ** KEPT (pick-wt=2): 30 [] cC4(iV21081).
% 1.65/1.87
% 1.65/1.87 ======= end of input processing =======
% 1.65/1.87
% 1.65/1.87 =========== start of search ===========
% 1.65/1.87
% 1.65/1.87 -------- PROOF --------
% 1.65/1.87
% 1.65/1.87 -----> EMPTY CLAUSE at 0.00 sec ----> 37 [hyper,36,2,35] $F.
% 1.65/1.87
% 1.65/1.87 Length of proof is 6. Level of proof is 3.
% 1.65/1.87
% 1.65/1.87 ---------------- PROOF ----------------
% 1.65/1.87 % SZS status Theorem
% 1.65/1.87 % SZS output start Refutation
% See solution above
% 1.65/1.87 ------------ end of proof -------------
% 1.65/1.87
% 1.65/1.87
% 1.65/1.87 Search stopped by max_proofs option.
% 1.65/1.87
% 1.65/1.87
% 1.65/1.87 Search stopped by max_proofs option.
% 1.65/1.87
% 1.65/1.87 ============ end of search ============
% 1.65/1.87
% 1.65/1.87 -------------- statistics -------------
% 1.65/1.87 clauses given 9
% 1.65/1.87 clauses generated 12
% 1.65/1.87 clauses kept 34
% 1.65/1.87 clauses forward subsumed 7
% 1.65/1.87 clauses back subsumed 2
% 1.65/1.87 Kbytes malloced 976
% 1.65/1.87
% 1.65/1.87 ----------- times (seconds) -----------
% 1.65/1.87 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.87 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.65/1.87
% 1.65/1.87 That finishes the proof of the theorem.
% 1.65/1.87
% 1.65/1.87 Process 22717 finished Wed Jul 27 03:47:38 2022
% 1.65/1.87 Otter interrupted
% 1.65/1.87 PROOF FOUND
%------------------------------------------------------------------------------