TSTP Solution File: KRS080+1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS080+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 13:01:05 EDT 2022
% Result : Unsatisfiable 72.95s 73.12s
% Output : Refutation 72.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of clauses : 40 ( 12 unt; 11 nHn; 40 RR)
% Number of literals : 100 ( 45 equ; 31 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( A != B
| ~ cp2(A)
| cp2(B) ),
file('KRS080+1.p',unknown),
[] ).
cnf(7,axiom,
( A != B
| ~ cp3(A)
| cp3(B) ),
file('KRS080+1.p',unknown),
[] ).
cnf(8,axiom,
( A != B
| ~ cp4(A)
| cp4(B) ),
file('KRS080+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ cUnsatisfiable(A)
| rr(A,dollar_f2(A)) ),
file('KRS080+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ cUnsatisfiable(A)
| cp1(dollar_f2(A)) ),
file('KRS080+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ cUnsatisfiable(A)
| rr(A,dollar_f3(A)) ),
file('KRS080+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ cUnsatisfiable(A)
| cp4(dollar_f3(A)) ),
file('KRS080+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ cUnsatisfiable(A)
| ~ rr(A,B)
| ~ rr(A,C)
| ~ rr(A,D)
| ~ rr(A,E)
| B = C
| B = D
| B = E
| C = D
| C = E
| D = E ),
file('KRS080+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ cUnsatisfiable(A)
| rr(A,dollar_f4(A)) ),
file('KRS080+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ cUnsatisfiable(A)
| cp2(dollar_f4(A)) ),
file('KRS080+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ cUnsatisfiable(A)
| rr(A,dollar_f5(A)) ),
file('KRS080+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ cUnsatisfiable(A)
| cp3(dollar_f5(A)) ),
file('KRS080+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ cp1(A)
| ~ cp2(A) ),
file('KRS080+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cp1(A)
| ~ cp4(A) ),
file('KRS080+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ cp1(A)
| ~ cp3(A) ),
file('KRS080+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ cp2(A)
| ~ cp4(A) ),
file('KRS080+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ cp2(A)
| ~ cp3(A) ),
file('KRS080+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ cp3(A)
| ~ cp4(A) ),
file('KRS080+1.p',unknown),
[] ).
cnf(68,axiom,
cUnsatisfiable(i2003_11_14_17_19_21224),
file('KRS080+1.p',unknown),
[] ).
cnf(75,plain,
cp3(dollar_f5(i2003_11_14_17_19_21224)),
inference(hyper,[status(thm)],[68,27]),
[iquote('hyper,68,27')] ).
cnf(76,plain,
rr(i2003_11_14_17_19_21224,dollar_f5(i2003_11_14_17_19_21224)),
inference(hyper,[status(thm)],[68,26]),
[iquote('hyper,68,26')] ).
cnf(77,plain,
cp2(dollar_f4(i2003_11_14_17_19_21224)),
inference(hyper,[status(thm)],[68,25]),
[iquote('hyper,68,25')] ).
cnf(78,plain,
rr(i2003_11_14_17_19_21224,dollar_f4(i2003_11_14_17_19_21224)),
inference(hyper,[status(thm)],[68,24]),
[iquote('hyper,68,24')] ).
cnf(79,plain,
cp4(dollar_f3(i2003_11_14_17_19_21224)),
inference(hyper,[status(thm)],[68,22]),
[iquote('hyper,68,22')] ).
cnf(80,plain,
rr(i2003_11_14_17_19_21224,dollar_f3(i2003_11_14_17_19_21224)),
inference(hyper,[status(thm)],[68,21]),
[iquote('hyper,68,21')] ).
cnf(81,plain,
cp1(dollar_f2(i2003_11_14_17_19_21224)),
inference(hyper,[status(thm)],[68,20]),
[iquote('hyper,68,20')] ).
cnf(82,plain,
rr(i2003_11_14_17_19_21224,dollar_f2(i2003_11_14_17_19_21224)),
inference(hyper,[status(thm)],[68,19]),
[iquote('hyper,68,19')] ).
cnf(307,plain,
( dollar_f4(i2003_11_14_17_19_21224) = dollar_f3(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f3(i2003_11_14_17_19_21224)
| dollar_f3(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f4(i2003_11_14_17_19_21224)
| dollar_f4(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224) ),
inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[82,23,68,80,78,76])])])]),
[iquote('hyper,82,23,68,80,78,76,flip.1,flip.2,flip.4')] ).
cnf(1939,plain,
( dollar_f5(i2003_11_14_17_19_21224) = dollar_f3(i2003_11_14_17_19_21224)
| dollar_f3(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f4(i2003_11_14_17_19_21224)
| dollar_f4(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| cp2(dollar_f3(i2003_11_14_17_19_21224)) ),
inference(hyper,[status(thm)],[307,6,77]),
[iquote('hyper,307,6,77')] ).
cnf(1945,plain,
( dollar_f5(i2003_11_14_17_19_21224) = dollar_f3(i2003_11_14_17_19_21224)
| dollar_f3(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f4(i2003_11_14_17_19_21224)
| dollar_f4(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224) ),
inference(hyper,[status(thm)],[1939,58,79]),
[iquote('hyper,1939,58,79')] ).
cnf(1947,plain,
( dollar_f3(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f4(i2003_11_14_17_19_21224)
| dollar_f4(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| cp3(dollar_f3(i2003_11_14_17_19_21224)) ),
inference(hyper,[status(thm)],[1945,7,75]),
[iquote('hyper,1945,7,75')] ).
cnf(1956,plain,
( dollar_f3(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f4(i2003_11_14_17_19_21224)
| dollar_f4(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224) ),
inference(hyper,[status(thm)],[1947,61,79]),
[iquote('hyper,1947,61,79')] ).
cnf(1958,plain,
( dollar_f5(i2003_11_14_17_19_21224) = dollar_f4(i2003_11_14_17_19_21224)
| dollar_f4(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| cp4(dollar_f2(i2003_11_14_17_19_21224)) ),
inference(hyper,[status(thm)],[1956,8,79]),
[iquote('hyper,1956,8,79')] ).
cnf(1965,plain,
( dollar_f5(i2003_11_14_17_19_21224) = dollar_f4(i2003_11_14_17_19_21224)
| dollar_f4(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224) ),
inference(hyper,[status(thm)],[1958,55,81]),
[iquote('hyper,1958,55,81')] ).
cnf(1967,plain,
( dollar_f4(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| cp3(dollar_f4(i2003_11_14_17_19_21224)) ),
inference(hyper,[status(thm)],[1965,7,75]),
[iquote('hyper,1965,7,75')] ).
cnf(1972,plain,
( dollar_f4(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| dollar_f5(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224) ),
inference(hyper,[status(thm)],[1967,60,77]),
[iquote('hyper,1967,60,77')] ).
cnf(1974,plain,
( dollar_f5(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224)
| cp2(dollar_f2(i2003_11_14_17_19_21224)) ),
inference(hyper,[status(thm)],[1972,6,77]),
[iquote('hyper,1972,6,77')] ).
cnf(1978,plain,
dollar_f5(i2003_11_14_17_19_21224) = dollar_f2(i2003_11_14_17_19_21224),
inference(hyper,[status(thm)],[1974,54,81]),
[iquote('hyper,1974,54,81')] ).
cnf(1981,plain,
cp3(dollar_f2(i2003_11_14_17_19_21224)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[75]),1978]),
[iquote('back_demod,75,demod,1978')] ).
cnf(1982,plain,
$false,
inference(hyper,[status(thm)],[1981,57,81]),
[iquote('hyper,1981,57,81')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS080+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n014.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 03:33:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.83/2.02 ----- Otter 3.3f, August 2004 -----
% 1.83/2.02 The process was started by sandbox on n014.cluster.edu,
% 1.83/2.02 Wed Jul 27 03:33:24 2022
% 1.83/2.02 The command was "./otter". The process ID is 27514.
% 1.83/2.02
% 1.83/2.02 set(prolog_style_variables).
% 1.83/2.02 set(auto).
% 1.83/2.02 dependent: set(auto1).
% 1.83/2.02 dependent: set(process_input).
% 1.83/2.02 dependent: clear(print_kept).
% 1.83/2.02 dependent: clear(print_new_demod).
% 1.83/2.02 dependent: clear(print_back_demod).
% 1.83/2.02 dependent: clear(print_back_sub).
% 1.83/2.02 dependent: set(control_memory).
% 1.83/2.02 dependent: assign(max_mem, 12000).
% 1.83/2.02 dependent: assign(pick_given_ratio, 4).
% 1.83/2.02 dependent: assign(stats_level, 1).
% 1.83/2.02 dependent: assign(max_seconds, 10800).
% 1.83/2.02 clear(print_given).
% 1.83/2.02
% 1.83/2.02 formula_list(usable).
% 1.83/2.02 all A (A=A).
% 1.83/2.02 all A B (A=B&cUnsatisfiable(A)->cUnsatisfiable(B)).
% 1.83/2.02 all A B (A=B&cowlNothing(A)->cowlNothing(B)).
% 1.83/2.02 all A B (A=B&cowlThing(A)->cowlThing(B)).
% 1.83/2.02 all A B (A=B&cp(A)->cp(B)).
% 1.83/2.02 all A B (A=B&cp1(A)->cp1(B)).
% 1.83/2.02 all A B (A=B&cp2(A)->cp2(B)).
% 1.83/2.02 all A B (A=B&cp3(A)->cp3(B)).
% 1.83/2.02 all A B (A=B&cp4(A)->cp4(B)).
% 1.83/2.02 all A B (A=B&cp5(A)->cp5(B)).
% 1.83/2.02 all A B C (A=B&rr(A,C)->rr(B,C)).
% 1.83/2.02 all A B C (A=B&rr(C,A)->rr(C,B)).
% 1.83/2.02 all A B (A=B&xsd_integer(A)->xsd_integer(B)).
% 1.83/2.02 all A B (A=B&xsd_string(A)->xsd_string(B)).
% 1.83/2.02 all X (cowlThing(X)& -cowlNothing(X)).
% 1.83/2.02 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.83/2.02 all X (cUnsatisfiable(X)<-> (exists Y (rr(X,Y)&cp(Y)&cp1(Y)))& (exists Y (rr(X,Y)&cp1(Y)))& (exists Y (rr(X,Y)&cp4(Y)))& (all Y0 Y1 Y2 Y3 (rr(X,Y0)&rr(X,Y1)&rr(X,Y2)&rr(X,Y3)->Y0=Y1|Y0=Y2|Y0=Y3|Y1=Y2|Y1=Y3|Y2=Y3))& (exists Y (rr(X,Y)&cp2(Y)))& (exists Y (rr(X,Y)&cp3(Y)))& (exists Y (rr(X,Y)&cp(Y)&cp3(Y)))& (exists Y (rr(X,Y)&cp2(Y)&cp(Y)))).
% 1.83/2.02 all X (cp1(X)-> -(cp2(X)|cp4(X)|cp5(X)|cp3(X))).
% 1.83/2.02 all X (cp2(X)-> -(cp4(X)|cp5(X)|cp3(X))).
% 1.83/2.02 all X (cp3(X)-> -(cp4(X)|cp5(X))).
% 1.83/2.02 all X (cp4(X)-> -cp5(X)).
% 1.83/2.02 cUnsatisfiable(i2003_11_14_17_19_21224).
% 1.83/2.02 end_of_list.
% 1.83/2.02
% 1.83/2.02 -------> usable clausifies to:
% 1.83/2.02
% 1.83/2.02 list(usable).
% 1.83/2.02 0 [] A=A.
% 1.83/2.02 0 [] A!=B| -cUnsatisfiable(A)|cUnsatisfiable(B).
% 1.83/2.02 0 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.83/2.02 0 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.83/2.02 0 [] A!=B| -cp(A)|cp(B).
% 1.83/2.02 0 [] A!=B| -cp1(A)|cp1(B).
% 1.83/2.02 0 [] A!=B| -cp2(A)|cp2(B).
% 1.83/2.02 0 [] A!=B| -cp3(A)|cp3(B).
% 1.83/2.02 0 [] A!=B| -cp4(A)|cp4(B).
% 1.83/2.02 0 [] A!=B| -cp5(A)|cp5(B).
% 1.83/2.02 0 [] A!=B| -rr(A,C)|rr(B,C).
% 1.83/2.02 0 [] A!=B| -rr(C,A)|rr(C,B).
% 1.83/2.02 0 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.83/2.02 0 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.83/2.02 0 [] cowlThing(X).
% 1.83/2.02 0 [] -cowlNothing(X).
% 1.83/2.02 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.83/2.02 0 [] xsd_string(X)|xsd_integer(X).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|rr(X,$f1(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|cp($f1(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|cp1($f1(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|rr(X,$f2(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|cp1($f2(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|rr(X,$f3(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|cp4($f3(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)| -rr(X,Y0)| -rr(X,Y1)| -rr(X,Y2)| -rr(X,Y3)|Y0=Y1|Y0=Y2|Y0=Y3|Y1=Y2|Y1=Y3|Y2=Y3.
% 1.83/2.02 0 [] -cUnsatisfiable(X)|rr(X,$f4(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|cp2($f4(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|rr(X,$f5(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|cp3($f5(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|rr(X,$f6(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|cp($f6(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|cp3($f6(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|rr(X,$f7(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|cp2($f7(X)).
% 1.83/2.02 0 [] -cUnsatisfiable(X)|cp($f7(X)).
% 1.83/2.02 0 [] cUnsatisfiable(X)| -rr(X,Y)| -cp(Y)| -cp1(Y)| -rr(X,X1)| -cp1(X1)| -rr(X,X2)| -cp4(X2)|rr(X,$f11(X))| -rr(X,X3)| -cp2(X3)| -rr(X,X4)| -cp3(X4)| -rr(X,X5)| -cp(X5)| -cp3(X5)| -rr(X,X6)| -cp2(X6)| -cp(X6).
% 1.83/2.02 0 [] cUnsatisfiable(X)| -rr(X,Y)| -cp(Y)| -cp1(Y)| -rr(X,X1)| -cp1(X1)| -rr(X,X2)| -cp4(X2)|rr(X,$f10(X))| -rr(X,X3)| -cp2(X3)| -rr(X,X4)| -cp3(X4)| -rr(X,X5)| -cp(X5)| -cp3(X5)| -rr(X,X6)| -cp2(X6)| -cp(X6).
% 1.83/2.02 0 [] cUnsatisfiable(X)| -rr(X,Y)| -cp(Y)| -cp1(Y)| -rr(X,X1)| -cp1(X1)| -rr(X,X2)| -cp4(X2)|rr(X,$f9(X))| -rr(X,X3)| -cp2(X3)| -rr(X,X4)| -cp3(X4)| -rr(X,X5)| -cp(X5)| -cp3(X5)| -rr(X,X6)| -cp2(X6)| -cp(X6).
% 1.83/2.02 0 [] cUnsatisfiable(X)| -rr(X,Y)| -cp(Y)| -cp1(Y)| -rr(X,X1)| -cp1(X1)| -rr(X,X2)| -cp4(X2)|rr(X,$f8(X))| -rr(X,X3)| -cp2(X3)| -rr(X,X4)| -cp3(X4)| -rr(X,X5)| -cp(X5)| -cp3(X5)| -rr(X,X6)| -cp2(X6)| -cp(X6).
% 1.83/2.02 0 [] cUnsatisfiable(X)| -rr(X,Y)| -cp(Y)| -cp1(Y)| -rr(X,X1)| -cp1(X1)| -rr(X,X2)| -cp4(X2)|$f11(X)!=$f10(X)| -rr(X,X3)| -cp2(X3)| -rr(X,X4)| -cp3(X4)| -rr(X,X5)| -cp(X5)| -cp3(X5)| -rr(X,X6)| -cp2(X6)| -cp(X6).
% 1.83/2.03 0 [] cUnsatisfiable(X)| -rr(X,Y)| -cp(Y)| -cp1(Y)| -rr(X,X1)| -cp1(X1)| -rr(X,X2)| -cp4(X2)|$f11(X)!=$f9(X)| -rr(X,X3)| -cp2(X3)| -rr(X,X4)| -cp3(X4)| -rr(X,X5)| -cp(X5)| -cp3(X5)| -rr(X,X6)| -cp2(X6)| -cp(X6).
% 1.83/2.03 0 [] cUnsatisfiable(X)| -rr(X,Y)| -cp(Y)| -cp1(Y)| -rr(X,X1)| -cp1(X1)| -rr(X,X2)| -cp4(X2)|$f11(X)!=$f8(X)| -rr(X,X3)| -cp2(X3)| -rr(X,X4)| -cp3(X4)| -rr(X,X5)| -cp(X5)| -cp3(X5)| -rr(X,X6)| -cp2(X6)| -cp(X6).
% 1.83/2.03 0 [] cUnsatisfiable(X)| -rr(X,Y)| -cp(Y)| -cp1(Y)| -rr(X,X1)| -cp1(X1)| -rr(X,X2)| -cp4(X2)|$f10(X)!=$f9(X)| -rr(X,X3)| -cp2(X3)| -rr(X,X4)| -cp3(X4)| -rr(X,X5)| -cp(X5)| -cp3(X5)| -rr(X,X6)| -cp2(X6)| -cp(X6).
% 1.83/2.03 0 [] cUnsatisfiable(X)| -rr(X,Y)| -cp(Y)| -cp1(Y)| -rr(X,X1)| -cp1(X1)| -rr(X,X2)| -cp4(X2)|$f10(X)!=$f8(X)| -rr(X,X3)| -cp2(X3)| -rr(X,X4)| -cp3(X4)| -rr(X,X5)| -cp(X5)| -cp3(X5)| -rr(X,X6)| -cp2(X6)| -cp(X6).
% 1.83/2.03 0 [] cUnsatisfiable(X)| -rr(X,Y)| -cp(Y)| -cp1(Y)| -rr(X,X1)| -cp1(X1)| -rr(X,X2)| -cp4(X2)|$f9(X)!=$f8(X)| -rr(X,X3)| -cp2(X3)| -rr(X,X4)| -cp3(X4)| -rr(X,X5)| -cp(X5)| -cp3(X5)| -rr(X,X6)| -cp2(X6)| -cp(X6).
% 1.83/2.03 0 [] -cp1(X)| -cp2(X).
% 1.83/2.03 0 [] -cp1(X)| -cp4(X).
% 1.83/2.03 0 [] -cp1(X)| -cp5(X).
% 1.83/2.03 0 [] -cp1(X)| -cp3(X).
% 1.83/2.03 0 [] -cp2(X)| -cp4(X).
% 1.83/2.03 0 [] -cp2(X)| -cp5(X).
% 1.83/2.03 0 [] -cp2(X)| -cp3(X).
% 1.83/2.03 0 [] -cp3(X)| -cp4(X).
% 1.83/2.03 0 [] -cp3(X)| -cp5(X).
% 1.83/2.03 0 [] -cp4(X)| -cp5(X).
% 1.83/2.03 0 [] cUnsatisfiable(i2003_11_14_17_19_21224).
% 1.83/2.03 end_of_list.
% 1.83/2.03
% 1.83/2.03 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=19.
% 1.83/2.03
% 1.83/2.03 This ia a non-Horn set with equality. The strategy will be
% 1.83/2.03 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.83/2.03 deletion, with positive clauses in sos and nonpositive
% 1.83/2.03 clauses in usable.
% 1.83/2.03
% 1.83/2.03 dependent: set(knuth_bendix).
% 1.83/2.03 dependent: set(anl_eq).
% 1.83/2.03 dependent: set(para_from).
% 1.83/2.03 dependent: set(para_into).
% 1.83/2.03 dependent: clear(para_from_right).
% 1.83/2.03 dependent: clear(para_into_right).
% 1.83/2.03 dependent: set(para_from_vars).
% 1.83/2.03 dependent: set(eq_units_both_ways).
% 1.83/2.03 dependent: set(dynamic_demod_all).
% 1.83/2.03 dependent: set(dynamic_demod).
% 1.83/2.03 dependent: set(order_eq).
% 1.83/2.03 dependent: set(back_demod).
% 1.83/2.03 dependent: set(lrpo).
% 1.83/2.03 dependent: set(hyper_res).
% 1.83/2.03 dependent: set(unit_deletion).
% 1.83/2.03 dependent: set(factor).
% 1.83/2.03
% 1.83/2.03 ------------> process usable:
% 1.83/2.03 ** KEPT (pick-wt=7): 1 [] A!=B| -cUnsatisfiable(A)|cUnsatisfiable(B).
% 1.83/2.03 ** KEPT (pick-wt=7): 2 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.83/2.03 ** KEPT (pick-wt=7): 3 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.83/2.03 ** KEPT (pick-wt=7): 4 [] A!=B| -cp(A)|cp(B).
% 1.83/2.03 ** KEPT (pick-wt=7): 5 [] A!=B| -cp1(A)|cp1(B).
% 1.83/2.03 ** KEPT (pick-wt=7): 6 [] A!=B| -cp2(A)|cp2(B).
% 1.83/2.03 ** KEPT (pick-wt=7): 7 [] A!=B| -cp3(A)|cp3(B).
% 1.83/2.03 ** KEPT (pick-wt=7): 8 [] A!=B| -cp4(A)|cp4(B).
% 1.83/2.03 ** KEPT (pick-wt=7): 9 [] A!=B| -cp5(A)|cp5(B).
% 1.83/2.03 ** KEPT (pick-wt=9): 10 [] A!=B| -rr(A,C)|rr(B,C).
% 1.83/2.03 ** KEPT (pick-wt=9): 11 [] A!=B| -rr(C,A)|rr(C,B).
% 1.83/2.03 ** KEPT (pick-wt=7): 12 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.83/2.03 ** KEPT (pick-wt=7): 13 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.83/2.03 ** KEPT (pick-wt=2): 14 [] -cowlNothing(A).
% 1.83/2.03 ** KEPT (pick-wt=4): 15 [] -xsd_string(A)| -xsd_integer(A).
% 1.83/2.03 ** KEPT (pick-wt=6): 16 [] -cUnsatisfiable(A)|rr(A,$f1(A)).
% 1.83/2.03 ** KEPT (pick-wt=5): 17 [] -cUnsatisfiable(A)|cp($f1(A)).
% 1.83/2.03 ** KEPT (pick-wt=5): 18 [] -cUnsatisfiable(A)|cp1($f1(A)).
% 1.83/2.03 ** KEPT (pick-wt=6): 19 [] -cUnsatisfiable(A)|rr(A,$f2(A)).
% 1.83/2.03 ** KEPT (pick-wt=5): 20 [] -cUnsatisfiable(A)|cp1($f2(A)).
% 1.83/2.03 ** KEPT (pick-wt=6): 21 [] -cUnsatisfiable(A)|rr(A,$f3(A)).
% 1.83/2.03 ** KEPT (pick-wt=5): 22 [] -cUnsatisfiable(A)|cp4($f3(A)).
% 1.83/2.03 ** KEPT (pick-wt=32): 23 [] -cUnsatisfiable(A)| -rr(A,B)| -rr(A,C)| -rr(A,D)| -rr(A,E)|B=C|B=D|B=E|C=D|C=E|D=E.
% 1.83/2.03 ** KEPT (pick-wt=6): 24 [] -cUnsatisfiable(A)|rr(A,$f4(A)).
% 1.83/2.03 ** KEPT (pick-wt=5): 25 [] -cUnsatisfiable(A)|cp2($f4(A)).
% 1.83/2.03 ** KEPT (pick-wt=6): 26 [] -cUnsatisfiable(A)|rr(A,$f5(A)).
% 1.83/2.03 ** KEPT (pick-wt=5): 27 [] -cUnsatisfiable(A)|cp3($f5(A)).
% 1.83/2.03 ** KEPT (pick-wt=6): 28 [] -cUnsatisfiable(A)|rr(A,$f6(A)).
% 1.83/2.03 ** KEPT (pick-wt=5): 29 [] -cUnsatisfiable(A)|cp($f6(A)).
% 1.83/2.03 ** KEPT (pick-wt=5): 30 [] -cUnsatisfiable(A)|cp3($f6(A)).
% 1.83/2.03 ** KEPT (pick-wt=6): 31 [] -cUnsatisfiable(A)|rr(A,$f7(A)).
% 1.83/2.03 ** KEPT (pick-wt=5): 32 [] -cUnsatisfiable(A)|cp2($f7(A)).
% 1.83/2.03 ** KEPT (pick-wt=5): 33 [] -cUnsatisfiable(A)|cp($f7(A)).
% 72.95/73.12 ** KEPT (pick-wt=32): 35 [copy,34,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] cUnsatisfiable(A)| -rr(A,B)| -cp(B)| -cp1(B)| -rr(A,C)| -cp4(C)|rr(A,$f11(A))| -rr(A,D)| -cp2(D)| -rr(A,E)| -cp3(E)| -cp(E)| -cp(D).
% 72.95/73.12 ** KEPT (pick-wt=32): 37 [copy,36,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] cUnsatisfiable(A)| -rr(A,B)| -cp(B)| -cp1(B)| -rr(A,C)| -cp4(C)|rr(A,$f10(A))| -rr(A,D)| -cp2(D)| -rr(A,E)| -cp3(E)| -cp(E)| -cp(D).
% 72.95/73.12 ** KEPT (pick-wt=32): 39 [copy,38,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] cUnsatisfiable(A)| -rr(A,B)| -cp(B)| -cp1(B)| -rr(A,C)| -cp4(C)|rr(A,$f9(A))| -rr(A,D)| -cp2(D)| -rr(A,E)| -cp3(E)| -cp(E)| -cp(D).
% 72.95/73.12 ** KEPT (pick-wt=32): 41 [copy,40,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] cUnsatisfiable(A)| -rr(A,B)| -cp(B)| -cp1(B)| -rr(A,C)| -cp4(C)|rr(A,$f8(A))| -rr(A,D)| -cp2(D)| -rr(A,E)| -cp3(E)| -cp(E)| -cp(D).
% 72.95/73.12 ** KEPT (pick-wt=33): 43 [copy,42,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] cUnsatisfiable(A)| -rr(A,B)| -cp(B)| -cp1(B)| -rr(A,C)| -cp4(C)|$f11(A)!=$f10(A)| -rr(A,D)| -cp2(D)| -rr(A,E)| -cp3(E)| -cp(E)| -cp(D).
% 72.95/73.12 ** KEPT (pick-wt=33): 45 [copy,44,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] cUnsatisfiable(A)| -rr(A,B)| -cp(B)| -cp1(B)| -rr(A,C)| -cp4(C)|$f9(A)!=$f11(A)| -rr(A,D)| -cp2(D)| -rr(A,E)| -cp3(E)| -cp(E)| -cp(D).
% 72.95/73.12 ** KEPT (pick-wt=33): 47 [copy,46,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] cUnsatisfiable(A)| -rr(A,B)| -cp(B)| -cp1(B)| -rr(A,C)| -cp4(C)|$f8(A)!=$f11(A)| -rr(A,D)| -cp2(D)| -rr(A,E)| -cp3(E)| -cp(E)| -cp(D).
% 72.95/73.12 ** KEPT (pick-wt=33): 49 [copy,48,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] cUnsatisfiable(A)| -rr(A,B)| -cp(B)| -cp1(B)| -rr(A,C)| -cp4(C)|$f9(A)!=$f10(A)| -rr(A,D)| -cp2(D)| -rr(A,E)| -cp3(E)| -cp(E)| -cp(D).
% 72.95/73.12 ** KEPT (pick-wt=33): 51 [copy,50,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] cUnsatisfiable(A)| -rr(A,B)| -cp(B)| -cp1(B)| -rr(A,C)| -cp4(C)|$f8(A)!=$f10(A)| -rr(A,D)| -cp2(D)| -rr(A,E)| -cp3(E)| -cp(E)| -cp(D).
% 72.95/73.12 ** KEPT (pick-wt=33): 53 [copy,52,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] cUnsatisfiable(A)| -rr(A,B)| -cp(B)| -cp1(B)| -rr(A,C)| -cp4(C)|$f9(A)!=$f8(A)| -rr(A,D)| -cp2(D)| -rr(A,E)| -cp3(E)| -cp(E)| -cp(D).
% 72.95/73.12 ** KEPT (pick-wt=4): 54 [] -cp1(A)| -cp2(A).
% 72.95/73.12 ** KEPT (pick-wt=4): 55 [] -cp1(A)| -cp4(A).
% 72.95/73.12 ** KEPT (pick-wt=4): 56 [] -cp1(A)| -cp5(A).
% 72.95/73.12 ** KEPT (pick-wt=4): 57 [] -cp1(A)| -cp3(A).
% 72.95/73.12 ** KEPT (pick-wt=4): 58 [] -cp2(A)| -cp4(A).
% 72.95/73.12 ** KEPT (pick-wt=4): 59 [] -cp2(A)| -cp5(A).
% 72.95/73.12 ** KEPT (pick-wt=4): 60 [] -cp2(A)| -cp3(A).
% 72.95/73.12 ** KEPT (pick-wt=4): 61 [] -cp3(A)| -cp4(A).
% 72.95/73.12 ** KEPT (pick-wt=4): 62 [] -cp3(A)| -cp5(A).
% 72.95/73.12 ** KEPT (pick-wt=4): 63 [] -cp4(A)| -cp5(A).
% 72.95/73.12 14 back subsumes 2.
% 72.95/73.12
% 72.95/73.12 ------------> process sos:
% 72.95/73.12 ** KEPT (pick-wt=3): 65 [] A=A.
% 72.95/73.12 ** KEPT (pick-wt=2): 66 [] cowlThing(A).
% 72.95/73.12 ** KEPT (pick-wt=4): 67 [] xsd_string(A)|xsd_integer(A).
% 72.95/73.12 ** KEPT (pick-wt=2): 68 [] cUnsatisfiable(i2003_11_14_17_19_21224).
% 72.95/73.12 Following clause subsumed by 65 during input processing: 0 [copy,65,flip.1] A=A.
% 72.95/73.12 65 back subsumes 64.
% 72.95/73.12 66 back subsumes 3.
% 72.95/73.12
% 72.95/73.12 ======= end of input processing =======
% 72.95/73.12
% 72.95/73.12 =========== start of search ===========
% 72.95/73.12
% 72.95/73.12
% 72.95/73.12 Resetting weight limit to 32.
% 72.95/73.12
% 72.95/73.12
% 72.95/73.12 Resetting weight limit to 32.
% 72.95/73.12
% 72.95/73.12 sos_size=1405
% 72.95/73.12
% 72.95/73.12
% 72.95/73.12 Resetting weight limit to 30.
% 72.95/73.12
% 72.95/73.12
% 72.95/73.12 Resetting weight limit to 30.
% 72.95/73.12
% 72.95/73.12 sos_size=785
% 72.95/73.12
% 72.95/73.12 -- HEY sandbox, WE HAVE A PROOF!! --
% 72.95/73.12
% 72.95/73.12 -----> EMPTY CLAUSE at 71.10 sec ----> 1982 [hyper,1981,57,81] $F.
% 72.95/73.12
% 72.95/73.12 Length of proof is 20. Level of proof is 13.
% 72.95/73.12
% 72.95/73.12 ---------------- PROOF ----------------
% 72.95/73.12 % SZS status Theorem
% 72.95/73.12 % SZS output start Refutation
% See solution above
% 72.95/73.12 ------------ end of proof -------------
% 72.95/73.12
% 72.95/73.12
% 72.95/73.12 Search stopped by max_proofs option.
% 72.95/73.12
% 72.95/73.12
% 72.95/73.12 Search stopped by max_proofs option.
% 72.95/73.12
% 72.95/73.12 ============ end of search ============
% 72.95/73.12
% 72.95/73.12 -------------- statistics -------------
% 72.95/73.12 clauses given 144
% 72.95/73.12 clauses generated 62697
% 72.95/73.12 clauses kept 1967
% 72.95/73.12 clauses forward subsumed 27027
% 72.95/73.12 clauses back subsumed 1168
% 72.95/73.12 Kbytes malloced 4882
% 72.95/73.12
% 72.95/73.12 ----------- times (seconds) -----------
% 72.95/73.12 user CPU time 71.10 (0 hr, 1 min, 11 sec)
% 72.95/73.12 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 72.95/73.12 wall-clock time 73 (0 hr, 1 min, 13 sec)
% 72.95/73.12
% 72.95/73.12 That finishes the proof of the theorem.
% 72.95/73.12
% 72.95/73.12 Process 27514 finished Wed Jul 27 03:34:37 2022
% 72.95/73.12 Otter interrupted
% 72.95/73.12 PROOF FOUND
%------------------------------------------------------------------------------