TSTP Solution File: LCL686+1.005 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 13:05:10 EDT 2022
% Result : Theorem 1.97s 2.18s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 5 unt; 2 nHn; 10 RR)
% Number of literals : 23 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(39,axiom,
( ~ r1(dollar_c3,A)
| ~ r1(A,B)
| ~ p2(B)
| p1(B) ),
file('LCL686+1.005.p',unknown),
[] ).
cnf(40,axiom,
( ~ r1(dollar_c3,A)
| ~ r1(A,B)
| p2(B)
| ~ p1(B) ),
file('LCL686+1.005.p',unknown),
[] ).
cnf(43,axiom,
( ~ r1(dollar_c3,A)
| r1(A,dollar_f15(A)) ),
file('LCL686+1.005.p',unknown),
[] ).
cnf(68,axiom,
( ~ r1(dollar_c3,A)
| p1(dollar_f15(A))
| p2(dollar_f15(A)) ),
file('LCL686+1.005.p',unknown),
[] ).
cnf(69,axiom,
( ~ r1(dollar_c3,A)
| ~ p2(dollar_f15(A))
| ~ p1(dollar_f15(A)) ),
file('LCL686+1.005.p',unknown),
[] ).
cnf(72,axiom,
r1(A,A),
file('LCL686+1.005.p',unknown),
[] ).
cnf(78,plain,
( p1(dollar_f15(dollar_c3))
| p2(dollar_f15(dollar_c3)) ),
inference(hyper,[status(thm)],[72,68]),
[iquote('hyper,72,68')] ).
cnf(91,plain,
r1(dollar_c3,dollar_f15(dollar_c3)),
inference(hyper,[status(thm)],[72,43]),
[iquote('hyper,72,43')] ).
cnf(194,plain,
p1(dollar_f15(dollar_c3)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[78,39,91,72])]),
[iquote('hyper,78,39,91,72,factor_simp')] ).
cnf(195,plain,
p2(dollar_f15(dollar_c3)),
inference(hyper,[status(thm)],[194,40,91,72]),
[iquote('hyper,194,40,91,72')] ).
cnf(196,plain,
$false,
inference(hyper,[status(thm)],[195,69,72,194]),
[iquote('hyper,195,69,72,194')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 09:28:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.97/2.17 ----- Otter 3.3f, August 2004 -----
% 1.97/2.17 The process was started by sandbox2 on n024.cluster.edu,
% 1.97/2.17 Wed Jul 27 09:28:25 2022
% 1.97/2.17 The command was "./otter". The process ID is 14570.
% 1.97/2.17
% 1.97/2.17 set(prolog_style_variables).
% 1.97/2.17 set(auto).
% 1.97/2.17 dependent: set(auto1).
% 1.97/2.17 dependent: set(process_input).
% 1.97/2.17 dependent: clear(print_kept).
% 1.97/2.17 dependent: clear(print_new_demod).
% 1.97/2.17 dependent: clear(print_back_demod).
% 1.97/2.17 dependent: clear(print_back_sub).
% 1.97/2.17 dependent: set(control_memory).
% 1.97/2.17 dependent: assign(max_mem, 12000).
% 1.97/2.17 dependent: assign(pick_given_ratio, 4).
% 1.97/2.17 dependent: assign(stats_level, 1).
% 1.97/2.17 dependent: assign(max_seconds, 10800).
% 1.97/2.17 clear(print_given).
% 1.97/2.17
% 1.97/2.17 formula_list(usable).
% 1.97/2.17 all X r1(X,X).
% 1.97/2.17 all X Y Z (r1(X,Y)&r1(Y,Z)->r1(X,Z)).
% 1.97/2.17 -(-(exists X (-((all Y (-r1(X,Y)| -p15(Y)| (all X (-r1(Y,X)| -p1(X)))))| (all Y (-r1(X,Y)| -(all X (-r1(Y,X)| -((all Y (-r1(X,Y)| (all X (-r1(Y,X)| (all Y (-r1(X,Y)| (all X (-r1(Y,X)| (all Y (-r1(X,Y)| (all X (-r1(Y,X)| (all Y (-r1(X,Y)| (all X (-r1(Y,X)| (all Y (-r1(X,Y)| (all X (-r1(Y,X)| (all Y (-r1(X,Y)| (all X (-r1(Y,X)| (all Y (-r1(X,Y)))| -(all Y (-r1(X,Y)| -(p14(Y)& -p13(Y)| -p14(Y)&p13(Y))))))| -(all X (-r1(Y,X)| -(p13(X)& -p12(X)| -p13(X)&p12(X))))))| -(all Y (-r1(X,Y)| -(p12(Y)& -p11(Y)| -p12(Y)&p11(Y))))))| -(all X (-r1(Y,X)| -(p11(X)& -p10(X)| -p11(X)&p10(X))))))| -(all Y (-r1(X,Y)| -(p10(Y)& -p9(Y)| -p10(Y)&p9(Y))))))| -(all X (-r1(Y,X)| -(p9(X)& -p8(X)| -p9(X)&p8(X))))))| -(all Y (-r1(X,Y)| -(p8(Y)& -p7(Y)| -p8(Y)&p7(Y))))))| -(all X (-r1(Y,X)| -(p7(X)& -p6(X)| -p7(X)&p6(X))))))| -(all Y (-r1(X,Y)| -(p6(Y)& -p5(Y)| -p6(Y)&p5(Y))))))| -(all X (-r1(Y,X)| -(p5(X)& -p4(X)| -p5(X)&p4(X))))))| -(all Y (-r1(X,Y)| -(p4(Y)& -p3(Y)| -p4(Y)&p3(Y))))))| -(all X (-r1(Y,X)| -(p3(X)& -p2(X)| -p3(X)&p2(X))))))| -(all Y (-r1(X,Y)| -(p2(Y)& -p1(Y)| -p2(Y)&p1(Y))))| (all Y (-r1(X,Y)|p15(Y)))| (all Y (-r1(X,Y)| -p13(Y)& -p14(Y)|p14(Y)&p13(Y)| -p12(Y)& -p13(Y)|p13(Y)&p12(Y)| -p11(Y)& -p12(Y)|p12(Y)&p11(Y)| -p10(Y)& -p11(Y)|p11(Y)&p10(Y)| -p9(Y)& -p10(Y)|p10(Y)&p9(Y)| -p8(Y)& -p9(Y)|p9(Y)&p8(Y)| -p7(Y)& -p8(Y)|p8(Y)&p7(Y)| -p6(Y)& -p7(Y)|p7(Y)&p6(Y)| -p5(Y)& -p6(Y)|p6(Y)&p5(Y)| -p4(Y)& -p5(Y)|p5(Y)&p4(Y)| -p3(Y)& -p4(Y)|p4(Y)&p3(Y)| -p2(Y)& -p3(Y)|p3(Y)&p2(Y)| -p1(Y)& -p2(Y)|p2(Y)&p1(Y)))))))))))).
% 1.97/2.17 end_of_list.
% 1.97/2.17
% 1.97/2.17 -------> usable clausifies to:
% 1.97/2.17
% 1.97/2.17 list(usable).
% 1.97/2.17 0 [] r1(X,X).
% 1.97/2.17 0 [] -r1(X,Y)| -r1(Y,Z)|r1(X,Z).
% 1.97/2.17 0 [] r1($c4,$c2).
% 1.97/2.17 0 [] p15($c2).
% 1.97/2.17 0 [] r1($c2,$c1).
% 1.97/2.17 0 [] p1($c1).
% 1.97/2.17 0 [] r1($c4,$c3).
% 1.97/2.17 0 [] -r1($c3,X)|r1(X,$f13(X)).
% 1.97/2.17 0 [] -r1($c3,X)|r1($f13(X),$f12(X)).
% 1.97/2.17 0 [] -r1($c3,X)|r1($f12(X),$f11($f12(X))).
% 1.97/2.17 0 [] -r1($c3,X)|r1($f11($f12(X)),$f10($f12(X))).
% 1.97/2.17 0 [] -r1($c3,X)|r1($f10($f12(X)),$f9($f10($f12(X)))).
% 1.97/2.17 0 [] -r1($c3,X)|r1($f9($f10($f12(X))),$f8($f10($f12(X)))).
% 1.97/2.17 0 [] -r1($c3,X)|r1($f8($f10($f12(X))),$f7($f8($f10($f12(X))))).
% 1.97/2.17 0 [] -r1($c3,X)|r1($f7($f8($f10($f12(X)))),$f6($f8($f10($f12(X))))).
% 1.97/2.17 0 [] -r1($c3,X)|r1($f6($f8($f10($f12(X)))),$f5($f6($f8($f10($f12(X)))))).
% 1.97/2.17 0 [] -r1($c3,X)|r1($f5($f6($f8($f10($f12(X))))),$f4($f6($f8($f10($f12(X)))))).
% 1.97/2.17 0 [] -r1($c3,X)|r1($f4($f6($f8($f10($f12(X))))),$f3($f4($f6($f8($f10($f12(X))))))).
% 1.97/2.17 0 [] -r1($c3,X)|r1($f3($f4($f6($f8($f10($f12(X)))))),$f2($f4($f6($f8($f10($f12(X))))))).
% 1.97/2.17 0 [] -r1($c3,X)|r1($f2($f4($f6($f8($f10($f12(X)))))),$f1($f2($f4($f6($f8($f10($f12(X)))))))).
% 1.97/2.17 0 [] -r1($c3,X)| -r1($f2($f4($f6($f8($f10($f12(X)))))),Y)| -p14(Y)|p13(Y).
% 1.97/2.17 0 [] -r1($c3,X)| -r1($f2($f4($f6($f8($f10($f12(X)))))),Y)|p14(Y)| -p13(Y).
% 1.97/2.17 0 [] -r1($c3,X)| -r1($f3($f4($f6($f8($f10($f12(X)))))),X1)| -p13(X1)|p12(X1).
% 1.97/2.17 0 [] -r1($c3,X)| -r1($f3($f4($f6($f8($f10($f12(X)))))),X1)|p13(X1)| -p12(X1).
% 1.97/2.17 0 [] -r1($c3,X)| -r1($f4($f6($f8($f10($f12(X))))),X7)| -p12(X7)|p11(X7).
% 1.97/2.17 0 [] -r1($c3,X)| -r1($f4($f6($f8($f10($f12(X))))),X7)|p12(X7)| -p11(X7).
% 1.97/2.17 0 [] -r1($c3,X)| -r1($f5($f6($f8($f10($f12(X))))),X2)| -p11(X2)|p10(X2).
% 1.97/2.17 0 [] -r1($c3,X)| -r1($f5($f6($f8($f10($f12(X))))),X2)|p11(X2)| -p10(X2).
% 1.97/2.17 0 [] -r1($c3,X)| -r1($f6($f8($f10($f12(X)))),X8)| -p10(X8)|p9(X8).
% 1.97/2.17 0 [] -r1($c3,X)| -r1($f6($f8($f10($f12(X)))),X8)|p10(X8)| -p9(X8).
% 1.97/2.17 0 [] -r1($c3,X)| -r1($f7($f8($f10($f12(X)))),X3)| -p9(X3)|p8(X3).
% 1.97/2.17 0 [] -r1($c3,X)| -r1($f7($f8($f10($f12(X)))),X3)|p9(X3)| -p8(X3).
% 1.97/2.18 0 [] -r1($c3,X)| -r1($f8($f10($f12(X))),X9)| -p8(X9)|p7(X9).
% 1.97/2.18 0 [] -r1($c3,X)| -r1($f8($f10($f12(X))),X9)|p8(X9)| -p7(X9).
% 1.97/2.18 0 [] -r1($c3,X)| -r1($f9($f10($f12(X))),X4)| -p7(X4)|p6(X4).
% 1.97/2.18 0 [] -r1($c3,X)| -r1($f9($f10($f12(X))),X4)|p7(X4)| -p6(X4).
% 1.97/2.18 0 [] -r1($c3,X)| -r1($f10($f12(X)),X10)| -p6(X10)|p5(X10).
% 1.97/2.18 0 [] -r1($c3,X)| -r1($f10($f12(X)),X10)|p6(X10)| -p5(X10).
% 1.97/2.18 0 [] -r1($c3,X)| -r1($f11($f12(X)),X5)| -p5(X5)|p4(X5).
% 1.97/2.18 0 [] -r1($c3,X)| -r1($f11($f12(X)),X5)|p5(X5)| -p4(X5).
% 1.97/2.18 0 [] -r1($c3,X)| -r1($f12(X),X11)| -p4(X11)|p3(X11).
% 1.97/2.18 0 [] -r1($c3,X)| -r1($f12(X),X11)|p4(X11)| -p3(X11).
% 1.97/2.18 0 [] -r1($c3,X)| -r1($f13(X),X6)| -p3(X6)|p2(X6).
% 1.97/2.18 0 [] -r1($c3,X)| -r1($f13(X),X6)|p3(X6)| -p2(X6).
% 1.97/2.18 0 [] -r1($c3,X)| -r1(X,X12)| -p2(X12)|p1(X12).
% 1.97/2.18 0 [] -r1($c3,X)| -r1(X,X12)|p2(X12)| -p1(X12).
% 1.97/2.18 0 [] -r1($c3,X)|r1(X,$f14(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p15($f14(X)).
% 1.97/2.18 0 [] -r1($c3,X)|r1(X,$f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)|p13($f15(X))|p14($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p14($f15(X))| -p13($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)|p12($f15(X))|p13($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p13($f15(X))| -p12($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)|p11($f15(X))|p12($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p12($f15(X))| -p11($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)|p10($f15(X))|p11($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p11($f15(X))| -p10($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)|p9($f15(X))|p10($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p10($f15(X))| -p9($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)|p8($f15(X))|p9($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p9($f15(X))| -p8($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)|p7($f15(X))|p8($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p8($f15(X))| -p7($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)|p6($f15(X))|p7($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p7($f15(X))| -p6($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)|p5($f15(X))|p6($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p6($f15(X))| -p5($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)|p4($f15(X))|p5($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p5($f15(X))| -p4($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)|p3($f15(X))|p4($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p4($f15(X))| -p3($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)|p2($f15(X))|p3($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p3($f15(X))| -p2($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)|p1($f15(X))|p2($f15(X)).
% 1.97/2.18 0 [] -r1($c3,X)| -p2($f15(X))| -p1($f15(X)).
% 1.97/2.18 end_of_list.
% 1.97/2.18
% 1.97/2.18 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.97/2.18
% 1.97/2.18 This is a non-Horn set without equality. The strategy will
% 1.97/2.18 be ordered hyper_res, unit deletion, and factoring, with
% 1.97/2.18 satellites in sos and with nuclei in usable.
% 1.97/2.18
% 1.97/2.18 dependent: set(hyper_res).
% 1.97/2.18 dependent: set(factor).
% 1.97/2.18 dependent: set(unit_deletion).
% 1.97/2.18
% 1.97/2.18 ------------> process usable:
% 1.97/2.18 ** KEPT (pick-wt=9): 1 [] -r1(A,B)| -r1(B,C)|r1(A,C).
% 1.97/2.18 ** KEPT (pick-wt=7): 2 [] -r1($c3,A)|r1(A,$f13(A)).
% 1.97/2.18 ** KEPT (pick-wt=8): 3 [] -r1($c3,A)|r1($f13(A),$f12(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 4 [] -r1($c3,A)|r1($f12(A),$f11($f12(A))).
% 1.97/2.18 ** KEPT (pick-wt=10): 5 [] -r1($c3,A)|r1($f11($f12(A)),$f10($f12(A))).
% 1.97/2.18 ** KEPT (pick-wt=11): 6 [] -r1($c3,A)|r1($f10($f12(A)),$f9($f10($f12(A)))).
% 1.97/2.18 ** KEPT (pick-wt=12): 7 [] -r1($c3,A)|r1($f9($f10($f12(A))),$f8($f10($f12(A)))).
% 1.97/2.18 ** KEPT (pick-wt=13): 8 [] -r1($c3,A)|r1($f8($f10($f12(A))),$f7($f8($f10($f12(A))))).
% 1.97/2.18 ** KEPT (pick-wt=14): 9 [] -r1($c3,A)|r1($f7($f8($f10($f12(A)))),$f6($f8($f10($f12(A))))).
% 1.97/2.18 ** KEPT (pick-wt=15): 10 [] -r1($c3,A)|r1($f6($f8($f10($f12(A)))),$f5($f6($f8($f10($f12(A)))))).
% 1.97/2.18 ** KEPT (pick-wt=16): 11 [] -r1($c3,A)|r1($f5($f6($f8($f10($f12(A))))),$f4($f6($f8($f10($f12(A)))))).
% 1.97/2.18 ** KEPT (pick-wt=17): 12 [] -r1($c3,A)|r1($f4($f6($f8($f10($f12(A))))),$f3($f4($f6($f8($f10($f12(A))))))).
% 1.97/2.18 ** KEPT (pick-wt=18): 13 [] -r1($c3,A)|r1($f3($f4($f6($f8($f10($f12(A)))))),$f2($f4($f6($f8($f10($f12(A))))))).
% 1.97/2.18 ** KEPT (pick-wt=19): 14 [] -r1($c3,A)|r1($f2($f4($f6($f8($f10($f12(A)))))),$f1($f2($f4($f6($f8($f10($f12(A)))))))).
% 1.97/2.18 ** KEPT (pick-wt=16): 15 [] -r1($c3,A)| -r1($f2($f4($f6($f8($f10($f12(A)))))),B)| -p14(B)|p13(B).
% 1.97/2.18 ** KEPT (pick-wt=16): 16 [] -r1($c3,A)| -r1($f2($f4($f6($f8($f10($f12(A)))))),B)|p14(B)| -p13(B).
% 1.97/2.18 ** KEPT (pick-wt=16): 17 [] -r1($c3,A)| -r1($f3($f4($f6($f8($f10($f12(A)))))),B)| -p13(B)|p12(B).
% 1.97/2.18 ** KEPT (pick-wt=16): 18 [] -r1($c3,A)| -r1($f3($f4($f6($f8($f10($f12(A)))))),B)|p13(B)| -p12(B).
% 1.97/2.18 ** KEPT (pick-wt=15): 19 [] -r1($c3,A)| -r1($f4($f6($f8($f10($f12(A))))),B)| -p12(B)|p11(B).
% 1.97/2.18 ** KEPT (pick-wt=15): 20 [] -r1($c3,A)| -r1($f4($f6($f8($f10($f12(A))))),B)|p12(B)| -p11(B).
% 1.97/2.18 ** KEPT (pick-wt=15): 21 [] -r1($c3,A)| -r1($f5($f6($f8($f10($f12(A))))),B)| -p11(B)|p10(B).
% 1.97/2.18 ** KEPT (pick-wt=15): 22 [] -r1($c3,A)| -r1($f5($f6($f8($f10($f12(A))))),B)|p11(B)| -p10(B).
% 1.97/2.18 ** KEPT (pick-wt=14): 23 [] -r1($c3,A)| -r1($f6($f8($f10($f12(A)))),B)| -p10(B)|p9(B).
% 1.97/2.18 ** KEPT (pick-wt=14): 24 [] -r1($c3,A)| -r1($f6($f8($f10($f12(A)))),B)|p10(B)| -p9(B).
% 1.97/2.18 ** KEPT (pick-wt=14): 25 [] -r1($c3,A)| -r1($f7($f8($f10($f12(A)))),B)| -p9(B)|p8(B).
% 1.97/2.18 ** KEPT (pick-wt=14): 26 [] -r1($c3,A)| -r1($f7($f8($f10($f12(A)))),B)|p9(B)| -p8(B).
% 1.97/2.18 ** KEPT (pick-wt=13): 27 [] -r1($c3,A)| -r1($f8($f10($f12(A))),B)| -p8(B)|p7(B).
% 1.97/2.18 ** KEPT (pick-wt=13): 28 [] -r1($c3,A)| -r1($f8($f10($f12(A))),B)|p8(B)| -p7(B).
% 1.97/2.18 ** KEPT (pick-wt=13): 29 [] -r1($c3,A)| -r1($f9($f10($f12(A))),B)| -p7(B)|p6(B).
% 1.97/2.18 ** KEPT (pick-wt=13): 30 [] -r1($c3,A)| -r1($f9($f10($f12(A))),B)|p7(B)| -p6(B).
% 1.97/2.18 ** KEPT (pick-wt=12): 31 [] -r1($c3,A)| -r1($f10($f12(A)),B)| -p6(B)|p5(B).
% 1.97/2.18 ** KEPT (pick-wt=12): 32 [] -r1($c3,A)| -r1($f10($f12(A)),B)|p6(B)| -p5(B).
% 1.97/2.18 ** KEPT (pick-wt=12): 33 [] -r1($c3,A)| -r1($f11($f12(A)),B)| -p5(B)|p4(B).
% 1.97/2.18 ** KEPT (pick-wt=12): 34 [] -r1($c3,A)| -r1($f11($f12(A)),B)|p5(B)| -p4(B).
% 1.97/2.18 ** KEPT (pick-wt=11): 35 [] -r1($c3,A)| -r1($f12(A),B)| -p4(B)|p3(B).
% 1.97/2.18 ** KEPT (pick-wt=11): 36 [] -r1($c3,A)| -r1($f12(A),B)|p4(B)| -p3(B).
% 1.97/2.18 ** KEPT (pick-wt=11): 37 [] -r1($c3,A)| -r1($f13(A),B)| -p3(B)|p2(B).
% 1.97/2.18 ** KEPT (pick-wt=11): 38 [] -r1($c3,A)| -r1($f13(A),B)|p3(B)| -p2(B).
% 1.97/2.18 ** KEPT (pick-wt=10): 39 [] -r1($c3,A)| -r1(A,B)| -p2(B)|p1(B).
% 1.97/2.18 ** KEPT (pick-wt=10): 40 [] -r1($c3,A)| -r1(A,B)|p2(B)| -p1(B).
% 1.97/2.18 ** KEPT (pick-wt=7): 41 [] -r1($c3,A)|r1(A,$f14(A)).
% 1.97/2.18 ** KEPT (pick-wt=6): 42 [] -r1($c3,A)| -p15($f14(A)).
% 1.97/2.18 ** KEPT (pick-wt=7): 43 [] -r1($c3,A)|r1(A,$f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 44 [] -r1($c3,A)|p13($f15(A))|p14($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 45 [] -r1($c3,A)| -p14($f15(A))| -p13($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 46 [] -r1($c3,A)|p12($f15(A))|p13($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 47 [] -r1($c3,A)| -p13($f15(A))| -p12($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 48 [] -r1($c3,A)|p11($f15(A))|p12($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 49 [] -r1($c3,A)| -p12($f15(A))| -p11($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 50 [] -r1($c3,A)|p10($f15(A))|p11($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 51 [] -r1($c3,A)| -p11($f15(A))| -p10($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 52 [] -r1($c3,A)|p9($f15(A))|p10($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 53 [] -r1($c3,A)| -p10($f15(A))| -p9($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 54 [] -r1($c3,A)|p8($f15(A))|p9($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 55 [] -r1($c3,A)| -p9($f15(A))| -p8($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 56 [] -r1($c3,A)|p7($f15(A))|p8($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 57 [] -r1($c3,A)| -p8($f15(A))| -p7($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 58 [] -r1($c3,A)|p6($f15(A))|p7($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 59 [] -r1($c3,A)| -p7($f15(A))| -p6($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 60 [] -r1($c3,A)|p5($f15(A))|p6($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 61 [] -r1($c3,A)| -p6($f15(A))| -p5($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 62 [] -r1($c3,A)|p4($f15(A))|p5($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 63 [] -r1($c3,A)| -p5($f15(A))| -p4($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 64 [] -r1($c3,A)|p3($f15(A))|p4($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 65 [] -r1($c3,A)| -p4($f15(A))| -p3($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 66 [] -r1($c3,A)|p2($f15(A))|p3($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 67 [] -r1($c3,A)| -p3($f15(A))| -p2($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 68 [] -r1($c3,A)|p1($f15(A))|p2($f15(A)).
% 1.97/2.18 ** KEPT (pick-wt=9): 69 [] -r1($c3,A)| -p2($f15(A))| -p1($f15(A)).
% 1.97/2.18
% 1.97/2.18 ------------> process sos:
% 1.97/2.18 ** KEPT (pick-wt=3): 72 [] r1(A,A).
% 1.97/2.18 ** KEPT (pick-wt=3): 73 [] r1($c4,$c2).
% 1.97/2.18 ** KEPT (pick-wt=2): 74 [] p15($c2).
% 1.97/2.18 ** KEPT (pick-wt=3): 75 [] r1($c2,$c1).
% 1.97/2.18 ** KEPT (pick-wt=2): 76 [] p1($c1).
% 1.97/2.18 ** KEPT (pick-wt=3): 77 [] r1($c4,$c3).
% 1.97/2.18
% 1.97/2.18 ======= end of input processing =======
% 1.97/2.18
% 1.97/2.18 =========== start of search ===========
% 1.97/2.18
% 1.97/2.18 -------- PROOF --------
% 1.97/2.18
% 1.97/2.18 -----> EMPTY CLAUSE at 0.02 sec ----> 196 [hyper,195,69,72,194] $F.
% 1.97/2.18
% 1.97/2.18 Length of proof is 4. Level of proof is 3.
% 1.97/2.18
% 1.97/2.18 ---------------- PROOF ----------------
% 1.97/2.18 % SZS status Theorem
% 1.97/2.18 % SZS output start Refutation
% See solution above
% 1.97/2.18 ------------ end of proof -------------
% 1.97/2.18
% 1.97/2.18
% 1.97/2.18 Search stopped by max_proofs option.
% 1.97/2.18
% 1.97/2.18
% 1.97/2.18 Search stopped by max_proofs option.
% 1.97/2.18
% 1.97/2.18 ============ end of search ============
% 1.97/2.18
% 1.97/2.18 -------------- statistics -------------
% 1.97/2.18 clauses given 13
% 1.97/2.18 clauses generated 140
% 1.97/2.18 clauses kept 195
% 1.97/2.18 clauses forward subsumed 18
% 1.97/2.18 clauses back subsumed 2
% 1.97/2.18 Kbytes malloced 1953
% 1.97/2.18
% 1.97/2.18 ----------- times (seconds) -----------
% 1.97/2.18 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 1.97/2.18 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.97/2.18 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.97/2.18
% 1.97/2.18 That finishes the proof of the theorem.
% 1.97/2.18
% 1.97/2.18 Process 14570 finished Wed Jul 27 09:28:27 2022
% 1.97/2.18 Otter interrupted
% 1.97/2.18 PROOF FOUND
%------------------------------------------------------------------------------