TSTP Solution File: KRS116+1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.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 13:01:11 EDT 2022
% Result : Unsatisfiable 1.68s 1.93s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of clauses : 33 ( 17 unt; 0 nHn; 33 RR)
% Number of literals : 55 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ cUnsatisfiable(A)
| ca(A) ),
file('KRS116+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ cUnsatisfiable(A)
| rs(A,dollar_f1(A)) ),
file('KRS116+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ cUnsatisfiable(A)
| ca_Ax2(dollar_f1(A)) ),
file('KRS116+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ ca(A)
| ~ ra_Px1(A,B) ),
file('KRS116+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ caxcomp(A)
| ra_Px1(A,dollar_f3(A)) ),
file('KRS116+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ cc(A)
| ~ rinvR(A,B)
| ca_Vx7(B) ),
file('KRS116+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ ca_Ax2(A)
| ~ rp(A,B)
| ca_Vx3(B) ),
file('KRS116+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ ca_Ax2(A)
| ~ rp(A,B)
| ca_Vx5(B) ),
file('KRS116+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ ca_Ax2(A)
| rp(A,dollar_f6(A)) ),
file('KRS116+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ ca_Vx3(A)
| rr(A,dollar_f11(A)) ),
file('KRS116+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ ca_Vx5(A)
| ~ rr(A,B)
| cc(B) ),
file('KRS116+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ ca_Vx6(A)
| ~ rinvS(A,B)
| caxcomp(B) ),
file('KRS116+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ ca_Vx7(A)
| ~ rinvP(A,B)
| ca_Vx6(B) ),
file('KRS116+1.p',unknown),
[] ).
cnf(48,axiom,
( rinvP(A,B)
| ~ rp(B,A) ),
file('KRS116+1.p',unknown),
[] ).
cnf(50,axiom,
( rinvR(A,B)
| ~ rr(B,A) ),
file('KRS116+1.p',unknown),
[] ).
cnf(52,axiom,
( rinvS(A,B)
| ~ rs(B,A) ),
file('KRS116+1.p',unknown),
[] ).
cnf(77,axiom,
cUnsatisfiable(i2003_11_14_17_21_33997),
file('KRS116+1.p',unknown),
[] ).
cnf(78,plain,
ca_Ax2(dollar_f1(i2003_11_14_17_21_33997)),
inference(hyper,[status(thm)],[77,5]),
[iquote('hyper,77,5')] ).
cnf(79,plain,
rs(i2003_11_14_17_21_33997,dollar_f1(i2003_11_14_17_21_33997)),
inference(hyper,[status(thm)],[77,4]),
[iquote('hyper,77,4')] ).
cnf(80,plain,
ca(i2003_11_14_17_21_33997),
inference(hyper,[status(thm)],[77,3]),
[iquote('hyper,77,3')] ).
cnf(81,plain,
rp(dollar_f1(i2003_11_14_17_21_33997),dollar_f6(dollar_f1(i2003_11_14_17_21_33997))),
inference(hyper,[status(thm)],[78,16]),
[iquote('hyper,78,16')] ).
cnf(83,plain,
rinvS(dollar_f1(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997),
inference(hyper,[status(thm)],[79,52]),
[iquote('hyper,79,52')] ).
cnf(88,plain,
rinvP(dollar_f6(dollar_f1(i2003_11_14_17_21_33997)),dollar_f1(i2003_11_14_17_21_33997)),
inference(hyper,[status(thm)],[81,48]),
[iquote('hyper,81,48')] ).
cnf(91,plain,
ca_Vx5(dollar_f6(dollar_f1(i2003_11_14_17_21_33997))),
inference(hyper,[status(thm)],[81,12,78]),
[iquote('hyper,81,12,78')] ).
cnf(92,plain,
ca_Vx3(dollar_f6(dollar_f1(i2003_11_14_17_21_33997))),
inference(hyper,[status(thm)],[81,11,78]),
[iquote('hyper,81,11,78')] ).
cnf(100,plain,
rr(dollar_f6(dollar_f1(i2003_11_14_17_21_33997)),dollar_f11(dollar_f6(dollar_f1(i2003_11_14_17_21_33997)))),
inference(hyper,[status(thm)],[92,35]),
[iquote('hyper,92,35')] ).
cnf(127,plain,
rinvR(dollar_f11(dollar_f6(dollar_f1(i2003_11_14_17_21_33997))),dollar_f6(dollar_f1(i2003_11_14_17_21_33997))),
inference(hyper,[status(thm)],[100,50]),
[iquote('hyper,100,50')] ).
cnf(128,plain,
cc(dollar_f11(dollar_f6(dollar_f1(i2003_11_14_17_21_33997)))),
inference(hyper,[status(thm)],[100,41,91]),
[iquote('hyper,100,41,91')] ).
cnf(165,plain,
ca_Vx7(dollar_f6(dollar_f1(i2003_11_14_17_21_33997))),
inference(hyper,[status(thm)],[127,9,128]),
[iquote('hyper,127,9,128')] ).
cnf(173,plain,
ca_Vx6(dollar_f1(i2003_11_14_17_21_33997)),
inference(hyper,[status(thm)],[165,45,88]),
[iquote('hyper,165,45,88')] ).
cnf(174,plain,
caxcomp(i2003_11_14_17_21_33997),
inference(hyper,[status(thm)],[173,43,83]),
[iquote('hyper,173,43,83')] ).
cnf(175,plain,
ra_Px1(i2003_11_14_17_21_33997,dollar_f3(i2003_11_14_17_21_33997)),
inference(hyper,[status(thm)],[174,7]),
[iquote('hyper,174,7')] ).
cnf(176,plain,
$false,
inference(hyper,[status(thm)],[175,6,80]),
[iquote('hyper,175,6,80')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n028.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 03:41:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.68/1.92 ----- Otter 3.3f, August 2004 -----
% 1.68/1.92 The process was started by sandbox2 on n028.cluster.edu,
% 1.68/1.92 Wed Jul 27 03:41:48 2022
% 1.68/1.92 The command was "./otter". The process ID is 15362.
% 1.68/1.92
% 1.68/1.92 set(prolog_style_variables).
% 1.68/1.92 set(auto).
% 1.68/1.92 dependent: set(auto1).
% 1.68/1.92 dependent: set(process_input).
% 1.68/1.92 dependent: clear(print_kept).
% 1.68/1.92 dependent: clear(print_new_demod).
% 1.68/1.92 dependent: clear(print_back_demod).
% 1.68/1.92 dependent: clear(print_back_sub).
% 1.68/1.92 dependent: set(control_memory).
% 1.68/1.92 dependent: assign(max_mem, 12000).
% 1.68/1.92 dependent: assign(pick_given_ratio, 4).
% 1.68/1.92 dependent: assign(stats_level, 1).
% 1.68/1.92 dependent: assign(max_seconds, 10800).
% 1.68/1.92 clear(print_given).
% 1.68/1.92
% 1.68/1.92 formula_list(usable).
% 1.68/1.92 all X (cowlThing(X)& -cowlNothing(X)).
% 1.68/1.92 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.68/1.92 all X (cUnsatisfiable(X)->ca(X)).
% 1.68/1.92 all X (cUnsatisfiable(X)-> (exists Y (rs(X,Y)&ca_Ax2(Y)))).
% 1.68/1.92 all X (ca(X)<-> -(exists Y ra_Px1(X,Y))).
% 1.68/1.92 all X (caxcomp(X)<-> (exists Y0 ra_Px1(X,Y0))).
% 1.68/1.92 all X (cc(X)<-> (all Y (rinvR(X,Y)->ca_Vx7(Y)))).
% 1.68/1.92 all X (ca_Ax2(X)<-> (all Y (rp(X,Y)->ca_Vx3(Y)))& (all Y (rp(X,Y)->ca_Vx5(Y)))& (all Y (rr(X,Y)->cc(Y)))& (exists Y (rr(X,Y)&cowlThing(Y)))& (exists Y (rp(X,Y)&cowlThing(Y)))& (all Y (rp(X,Y)->ca_Vx4(Y)))).
% 1.68/1.92 all X (ca_Vx3(X)<-> (exists Y (rr(X,Y)&cowlThing(Y)))).
% 1.68/1.92 all X (ca_Vx4(X)<-> (exists Y (rp(X,Y)&cowlThing(Y)))).
% 1.68/1.92 all X (ca_Vx5(X)<-> (all Y (rr(X,Y)->cc(Y)))).
% 1.68/1.92 all X (ca_Vx6(X)<-> (all Y (rinvS(X,Y)->caxcomp(Y)))).
% 1.68/1.92 all X (ca_Vx7(X)<-> (all Y (rinvP(X,Y)->ca_Vx6(Y)))).
% 1.68/1.92 all X Y (rinvP(X,Y)<->rp(Y,X)).
% 1.68/1.92 all X Y (rinvR(X,Y)<->rr(Y,X)).
% 1.68/1.92 all X Y (rinvS(X,Y)<->rs(Y,X)).
% 1.68/1.92 all X Y Z (rp(X,Y)&rp(Y,Z)->rp(X,Z)).
% 1.68/1.92 cUnsatisfiable(i2003_11_14_17_21_33997).
% 1.68/1.92 end_of_list.
% 1.68/1.92
% 1.68/1.92 -------> usable clausifies to:
% 1.68/1.92
% 1.68/1.92 list(usable).
% 1.68/1.92 0 [] cowlThing(X).
% 1.68/1.92 0 [] -cowlNothing(X).
% 1.68/1.92 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.68/1.92 0 [] xsd_string(X)|xsd_integer(X).
% 1.68/1.92 0 [] -cUnsatisfiable(X)|ca(X).
% 1.68/1.92 0 [] -cUnsatisfiable(X)|rs(X,$f1(X)).
% 1.68/1.92 0 [] -cUnsatisfiable(X)|ca_Ax2($f1(X)).
% 1.68/1.92 0 [] -ca(X)| -ra_Px1(X,Y).
% 1.68/1.92 0 [] ca(X)|ra_Px1(X,$f2(X)).
% 1.68/1.92 0 [] -caxcomp(X)|ra_Px1(X,$f3(X)).
% 1.68/1.92 0 [] caxcomp(X)| -ra_Px1(X,Y0).
% 1.68/1.92 0 [] -cc(X)| -rinvR(X,Y)|ca_Vx7(Y).
% 1.68/1.92 0 [] cc(X)|rinvR(X,$f4(X)).
% 1.68/1.92 0 [] cc(X)| -ca_Vx7($f4(X)).
% 1.68/1.92 0 [] -ca_Ax2(X)| -rp(X,Y)|ca_Vx3(Y).
% 1.68/1.92 0 [] -ca_Ax2(X)| -rp(X,X1)|ca_Vx5(X1).
% 1.68/1.92 0 [] -ca_Ax2(X)| -rr(X,X2)|cc(X2).
% 1.68/1.92 0 [] -ca_Ax2(X)|rr(X,$f5(X)).
% 1.68/1.92 0 [] -ca_Ax2(X)|cowlThing($f5(X)).
% 1.68/1.92 0 [] -ca_Ax2(X)|rp(X,$f6(X)).
% 1.68/1.92 0 [] -ca_Ax2(X)|cowlThing($f6(X)).
% 1.68/1.92 0 [] -ca_Ax2(X)| -rp(X,X3)|ca_Vx4(X3).
% 1.68/1.92 0 [] ca_Ax2(X)|rp(X,$f7(X))|rp(X,$f8(X))|rr(X,$f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)|rp(X,$f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)|rp(X,$f7(X))|rp(X,$f8(X))|rr(X,$f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)| -ca_Vx4($f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)|rp(X,$f7(X))|rp(X,$f8(X))| -cc($f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)|rp(X,$f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)|rp(X,$f7(X))|rp(X,$f8(X))| -cc($f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)| -ca_Vx4($f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)|rp(X,$f7(X))| -ca_Vx5($f8(X))|rr(X,$f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)|rp(X,$f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)|rp(X,$f7(X))| -ca_Vx5($f8(X))|rr(X,$f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)| -ca_Vx4($f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)|rp(X,$f7(X))| -ca_Vx5($f8(X))| -cc($f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)|rp(X,$f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)|rp(X,$f7(X))| -ca_Vx5($f8(X))| -cc($f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)| -ca_Vx4($f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)| -ca_Vx3($f7(X))|rp(X,$f8(X))|rr(X,$f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)|rp(X,$f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)| -ca_Vx3($f7(X))|rp(X,$f8(X))|rr(X,$f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)| -ca_Vx4($f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)| -ca_Vx3($f7(X))|rp(X,$f8(X))| -cc($f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)|rp(X,$f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)| -ca_Vx3($f7(X))|rp(X,$f8(X))| -cc($f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)| -ca_Vx4($f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)| -ca_Vx3($f7(X))| -ca_Vx5($f8(X))|rr(X,$f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)|rp(X,$f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)| -ca_Vx3($f7(X))| -ca_Vx5($f8(X))|rr(X,$f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)| -ca_Vx4($f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)| -ca_Vx3($f7(X))| -ca_Vx5($f8(X))| -cc($f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)|rp(X,$f10(X)).
% 1.68/1.92 0 [] ca_Ax2(X)| -ca_Vx3($f7(X))| -ca_Vx5($f8(X))| -cc($f9(X))| -rr(X,X4)| -cowlThing(X4)| -rp(X,X5)| -cowlThing(X5)| -ca_Vx4($f10(X)).
% 1.68/1.92 0 [] -ca_Vx3(X)|rr(X,$f11(X)).
% 1.68/1.92 0 [] -ca_Vx3(X)|cowlThing($f11(X)).
% 1.68/1.92 0 [] ca_Vx3(X)| -rr(X,Y)| -cowlThing(Y).
% 1.68/1.92 0 [] -ca_Vx4(X)|rp(X,$f12(X)).
% 1.68/1.92 0 [] -ca_Vx4(X)|cowlThing($f12(X)).
% 1.68/1.92 0 [] ca_Vx4(X)| -rp(X,Y)| -cowlThing(Y).
% 1.68/1.92 0 [] -ca_Vx5(X)| -rr(X,Y)|cc(Y).
% 1.68/1.92 0 [] ca_Vx5(X)|rr(X,$f13(X)).
% 1.68/1.92 0 [] ca_Vx5(X)| -cc($f13(X)).
% 1.68/1.92 0 [] -ca_Vx6(X)| -rinvS(X,Y)|caxcomp(Y).
% 1.68/1.92 0 [] ca_Vx6(X)|rinvS(X,$f14(X)).
% 1.68/1.92 0 [] ca_Vx6(X)| -caxcomp($f14(X)).
% 1.68/1.92 0 [] -ca_Vx7(X)| -rinvP(X,Y)|ca_Vx6(Y).
% 1.68/1.92 0 [] ca_Vx7(X)|rinvP(X,$f15(X)).
% 1.68/1.92 0 [] ca_Vx7(X)| -ca_Vx6($f15(X)).
% 1.68/1.92 0 [] -rinvP(X,Y)|rp(Y,X).
% 1.68/1.92 0 [] rinvP(X,Y)| -rp(Y,X).
% 1.68/1.92 0 [] -rinvR(X,Y)|rr(Y,X).
% 1.68/1.92 0 [] rinvR(X,Y)| -rr(Y,X).
% 1.68/1.92 0 [] -rinvS(X,Y)|rs(Y,X).
% 1.68/1.92 0 [] rinvS(X,Y)| -rs(Y,X).
% 1.68/1.92 0 [] -rp(X,Y)| -rp(Y,Z)|rp(X,Z).
% 1.68/1.92 0 [] cUnsatisfiable(i2003_11_14_17_21_33997).
% 1.68/1.92 end_of_list.
% 1.68/1.92
% 1.68/1.92 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=9.
% 1.68/1.92
% 1.68/1.92 This is a non-Horn set without equality. The strategy will
% 1.68/1.92 be ordered hyper_res, unit deletion, and factoring, with
% 1.68/1.92 satellites in sos and with nuclei in usable.
% 1.68/1.92
% 1.68/1.92 dependent: set(hyper_res).
% 1.68/1.92 dependent: set(factor).
% 1.68/1.92 dependent: set(unit_deletion).
% 1.68/1.92
% 1.68/1.92 ------------> process usable:
% 1.68/1.92 ** KEPT (pick-wt=2): 1 [] -cowlNothing(A).
% 1.68/1.92 ** KEPT (pick-wt=4): 2 [] -xsd_string(A)| -xsd_integer(A).
% 1.68/1.92 ** KEPT (pick-wt=4): 3 [] -cUnsatisfiable(A)|ca(A).
% 1.68/1.92 ** KEPT (pick-wt=6): 4 [] -cUnsatisfiable(A)|rs(A,$f1(A)).
% 1.68/1.92 ** KEPT (pick-wt=5): 5 [] -cUnsatisfiable(A)|ca_Ax2($f1(A)).
% 1.68/1.92 ** KEPT (pick-wt=5): 6 [] -ca(A)| -ra_Px1(A,B).
% 1.68/1.92 ** KEPT (pick-wt=6): 7 [] -caxcomp(A)|ra_Px1(A,$f3(A)).
% 1.68/1.92 ** KEPT (pick-wt=5): 8 [] caxcomp(A)| -ra_Px1(A,B).
% 1.68/1.92 ** KEPT (pick-wt=7): 9 [] -cc(A)| -rinvR(A,B)|ca_Vx7(B).
% 1.68/1.92 ** KEPT (pick-wt=5): 10 [] cc(A)| -ca_Vx7($f4(A)).
% 1.68/1.92 ** KEPT (pick-wt=7): 11 [] -ca_Ax2(A)| -rp(A,B)|ca_Vx3(B).
% 1.68/1.92 ** KEPT (pick-wt=7): 12 [] -ca_Ax2(A)| -rp(A,B)|ca_Vx5(B).
% 1.68/1.92 ** KEPT (pick-wt=7): 13 [] -ca_Ax2(A)| -rr(A,B)|cc(B).
% 1.68/1.92 ** KEPT (pick-wt=6): 14 [] -ca_Ax2(A)|rr(A,$f5(A)).
% 1.68/1.92 ** KEPT (pick-wt=5): 15 [] -ca_Ax2(A)|cowlThing($f5(A)).
% 1.68/1.92 ** KEPT (pick-wt=6): 16 [] -ca_Ax2(A)|rp(A,$f6(A)).
% 1.68/1.92 ** KEPT (pick-wt=5): 17 [] -ca_Ax2(A)|cowlThing($f6(A)).
% 1.68/1.92 ** KEPT (pick-wt=7): 18 [] -ca_Ax2(A)| -rp(A,B)|ca_Vx4(B).
% 1.68/1.92 ** KEPT (pick-wt=28): 19 [] ca_Ax2(A)|rp(A,$f7(A))|rp(A,$f8(A))|rr(A,$f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)|rp(A,$f10(A)).
% 1.68/1.92 ** KEPT (pick-wt=27): 20 [] ca_Ax2(A)|rp(A,$f7(A))|rp(A,$f8(A))|rr(A,$f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)| -ca_Vx4($f10(A)).
% 1.68/1.92 ** KEPT (pick-wt=27): 21 [] ca_Ax2(A)|rp(A,$f7(A))|rp(A,$f8(A))| -cc($f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)|rp(A,$f10(A)).
% 1.68/1.92 ** KEPT (pick-wt=26): 22 [] ca_Ax2(A)|rp(A,$f7(A))|rp(A,$f8(A))| -cc($f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)| -ca_Vx4($f10(A)).
% 1.68/1.92 ** KEPT (pick-wt=27): 23 [] ca_Ax2(A)|rp(A,$f7(A))| -ca_Vx5($f8(A))|rr(A,$f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)|rp(A,$f10(A)).
% 1.68/1.92 ** KEPT (pick-wt=26): 24 [] ca_Ax2(A)|rp(A,$f7(A))| -ca_Vx5($f8(A))|rr(A,$f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)| -ca_Vx4($f10(A)).
% 1.68/1.92 ** KEPT (pick-wt=26): 25 [] ca_Ax2(A)|rp(A,$f7(A))| -ca_Vx5($f8(A))| -cc($f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)|rp(A,$f10(A)).
% 1.68/1.92 ** KEPT (pick-wt=25): 26 [] ca_Ax2(A)|rp(A,$f7(A))| -ca_Vx5($f8(A))| -cc($f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)| -ca_Vx4($f10(A)).
% 1.68/1.92 ** KEPT (pick-wt=27): 27 [] ca_Ax2(A)| -ca_Vx3($f7(A))|rp(A,$f8(A))|rr(A,$f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)|rp(A,$f10(A)).
% 1.68/1.92 ** KEPT (pick-wt=26): 28 [] ca_Ax2(A)| -ca_Vx3($f7(A))|rp(A,$f8(A))|rr(A,$f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)| -ca_Vx4($f10(A)).
% 1.68/1.92 ** KEPT (pick-wt=26): 29 [] ca_Ax2(A)| -ca_Vx3($f7(A))|rp(A,$f8(A))| -cc($f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)|rp(A,$f10(A)).
% 1.68/1.92 ** KEPT (pick-wt=25): 30 [] ca_Ax2(A)| -ca_Vx3($f7(A))|rp(A,$f8(A))| -cc($f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)| -ca_Vx4($f10(A)).
% 1.68/1.93 ** KEPT (pick-wt=26): 31 [] ca_Ax2(A)| -ca_Vx3($f7(A))| -ca_Vx5($f8(A))|rr(A,$f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)|rp(A,$f10(A)).
% 1.68/1.93 ** KEPT (pick-wt=25): 32 [] ca_Ax2(A)| -ca_Vx3($f7(A))| -ca_Vx5($f8(A))|rr(A,$f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)| -ca_Vx4($f10(A)).
% 1.68/1.93 ** KEPT (pick-wt=25): 33 [] ca_Ax2(A)| -ca_Vx3($f7(A))| -ca_Vx5($f8(A))| -cc($f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)|rp(A,$f10(A)).
% 1.68/1.93 ** KEPT (pick-wt=24): 34 [] ca_Ax2(A)| -ca_Vx3($f7(A))| -ca_Vx5($f8(A))| -cc($f9(A))| -rr(A,B)| -cowlThing(B)| -rp(A,C)| -cowlThing(C)| -ca_Vx4($f10(A)).
% 1.68/1.93 ** KEPT (pick-wt=6): 35 [] -ca_Vx3(A)|rr(A,$f11(A)).
% 1.68/1.93 ** KEPT (pick-wt=5): 36 [] -ca_Vx3(A)|cowlThing($f11(A)).
% 1.68/1.93 ** KEPT (pick-wt=7): 37 [] ca_Vx3(A)| -rr(A,B)| -cowlThing(B).
% 1.68/1.93 ** KEPT (pick-wt=6): 38 [] -ca_Vx4(A)|rp(A,$f12(A)).
% 1.68/1.93 ** KEPT (pick-wt=5): 39 [] -ca_Vx4(A)|cowlThing($f12(A)).
% 1.68/1.93 ** KEPT (pick-wt=7): 40 [] ca_Vx4(A)| -rp(A,B)| -cowlThing(B).
% 1.68/1.93 ** KEPT (pick-wt=7): 41 [] -ca_Vx5(A)| -rr(A,B)|cc(B).
% 1.68/1.93 ** KEPT (pick-wt=5): 42 [] ca_Vx5(A)| -cc($f13(A)).
% 1.68/1.93 ** KEPT (pick-wt=7): 43 [] -ca_Vx6(A)| -rinvS(A,B)|caxcomp(B).
% 1.68/1.93 ** KEPT (pick-wt=5): 44 [] ca_Vx6(A)| -caxcomp($f14(A)).
% 1.68/1.93 ** KEPT (pick-wt=7): 45 [] -ca_Vx7(A)| -rinvP(A,B)|ca_Vx6(B).
% 1.68/1.93 ** KEPT (pick-wt=5): 46 [] ca_Vx7(A)| -ca_Vx6($f15(A)).
% 1.68/1.93 ** KEPT (pick-wt=6): 47 [] -rinvP(A,B)|rp(B,A).
% 1.68/1.93 ** KEPT (pick-wt=6): 48 [] rinvP(A,B)| -rp(B,A).
% 1.68/1.93 ** KEPT (pick-wt=6): 49 [] -rinvR(A,B)|rr(B,A).
% 1.68/1.93 ** KEPT (pick-wt=6): 50 [] rinvR(A,B)| -rr(B,A).
% 1.68/1.93 ** KEPT (pick-wt=6): 51 [] -rinvS(A,B)|rs(B,A).
% 1.68/1.93 ** KEPT (pick-wt=6): 52 [] rinvS(A,B)| -rs(B,A).
% 1.68/1.93 ** KEPT (pick-wt=9): 53 [] -rp(A,B)| -rp(B,C)|rp(A,C).
% 1.68/1.93
% 1.68/1.93 ------------> process sos:
% 1.68/1.93 ** KEPT (pick-wt=2): 70 [] cowlThing(A).
% 1.68/1.93 ** KEPT (pick-wt=4): 71 [] xsd_string(A)|xsd_integer(A).
% 1.68/1.93 ** KEPT (pick-wt=6): 72 [] ca(A)|ra_Px1(A,$f2(A)).
% 1.68/1.93 ** KEPT (pick-wt=6): 73 [] cc(A)|rinvR(A,$f4(A)).
% 1.68/1.93 ** KEPT (pick-wt=6): 74 [] ca_Vx5(A)|rr(A,$f13(A)).
% 1.68/1.93 ** KEPT (pick-wt=6): 75 [] ca_Vx6(A)|rinvS(A,$f14(A)).
% 1.68/1.93 ** KEPT (pick-wt=6): 76 [] ca_Vx7(A)|rinvP(A,$f15(A)).
% 1.68/1.93 ** KEPT (pick-wt=2): 77 [] cUnsatisfiable(i2003_11_14_17_21_33997).
% 1.68/1.93 70 back subsumes 39.
% 1.68/1.93 70 back subsumes 36.
% 1.68/1.93 70 back subsumes 17.
% 1.68/1.93 70 back subsumes 15.
% 1.68/1.93
% 1.68/1.93 ======= end of input processing =======
% 1.68/1.93
% 1.68/1.93 =========== start of search ===========
% 1.68/1.93
% 1.68/1.93 -------- PROOF --------
% 1.68/1.93
% 1.68/1.93 -----> EMPTY CLAUSE at 0.02 sec ----> 176 [hyper,175,6,80] $F.
% 1.68/1.93
% 1.68/1.93 Length of proof is 15. Level of proof is 9.
% 1.68/1.93
% 1.68/1.93 ---------------- PROOF ----------------
% 1.68/1.93 % SZS status Theorem
% 1.68/1.93 % SZS output start Refutation
% See solution above
% 1.68/1.93 ------------ end of proof -------------
% 1.68/1.93
% 1.68/1.93
% 1.68/1.93 Search stopped by max_proofs option.
% 1.68/1.93
% 1.68/1.93
% 1.68/1.93 Search stopped by max_proofs option.
% 1.68/1.93
% 1.68/1.93 ============ end of search ============
% 1.68/1.93
% 1.68/1.93 -------------- statistics -------------
% 1.68/1.93 clauses given 60
% 1.68/1.93 clauses generated 245
% 1.68/1.93 clauses kept 175
% 1.68/1.93 clauses forward subsumed 129
% 1.68/1.93 clauses back subsumed 19
% 1.68/1.93 Kbytes malloced 1953
% 1.68/1.93
% 1.68/1.93 ----------- times (seconds) -----------
% 1.68/1.93 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 1.68/1.93 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.93 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.68/1.93
% 1.68/1.93 That finishes the proof of the theorem.
% 1.68/1.93
% 1.68/1.93 Process 15362 finished Wed Jul 27 03:41:50 2022
% 1.68/1.93 Otter interrupted
% 1.68/1.93 PROOF FOUND
%------------------------------------------------------------------------------