TSTP Solution File: LCL644+1.010 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL644+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:04:48 EDT 2022
% Result : Theorem 3.95s 4.10s
% Output : Refutation 3.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 0
% Number of leaves : 1
% Syntax : Number of clauses : 1 ( 1 unt; 0 nHn; 1 RR)
% Number of literals : 1 ( 0 equ; 0 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 1 ( 0 usr; 1 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
$false,
file('LCL644+1.010.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL644+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 09:24:22 EDT 2022
% 0.14/0.34 % CPUTime :
% 3.95/4.10 ----- Otter 3.3f, August 2004 -----
% 3.95/4.10 The process was started by sandbox on n019.cluster.edu,
% 3.95/4.10 Wed Jul 27 09:24:22 2022
% 3.95/4.10 The command was "./otter". The process ID is 13397.
% 3.95/4.10
% 3.95/4.10 set(prolog_style_variables).
% 3.95/4.10 set(auto).
% 3.95/4.10 dependent: set(auto1).
% 3.95/4.10 dependent: set(process_input).
% 3.95/4.10 dependent: clear(print_kept).
% 3.95/4.10 dependent: clear(print_new_demod).
% 3.95/4.10 dependent: clear(print_back_demod).
% 3.95/4.10 dependent: clear(print_back_sub).
% 3.95/4.10 dependent: set(control_memory).
% 3.95/4.10 dependent: assign(max_mem, 12000).
% 3.95/4.10 dependent: assign(pick_given_ratio, 4).
% 3.95/4.10 dependent: assign(stats_level, 1).
% 3.95/4.10 dependent: assign(max_seconds, 10800).
% 3.95/4.10 clear(print_given).
% 3.95/4.10
% 3.95/4.10 formula_list(usable).
% 3.95/4.10 -(-(exists X (-(-((all Y (-r1(X,Y)| -(p11(Y)& (all X (-r1(Y,X)|p11(X))))|p10(Y)))| (all Y (-r1(X,Y)|p11(Y)| -(p10(Y)& (all X (-r1(Y,X)|p10(X)))&p10(Y))))| -((all Y (-r1(X,Y)| (all X (-r1(Y,X)| -(p11(X)& (all Y (-r1(X,Y)|p11(Y))))|p10(X)))|p11(Y)| -(p10(Y)& (all X (-r1(Y,X)|p10(X)))&p10(Y))))& (all Y (-r1(X,Y)| -(p11(Y)& (all X (-r1(Y,X)|p11(X))))|p10(Y)| (all X (-r1(Y,X)|p11(X)| -(p10(X)& (all Y (-r1(X,Y)|p10(Y)))&p10(X))))))& (all Y (-r1(X,Y)| -(p11(Y)& (all X (-r1(Y,X)|p11(X))))|p10(Y)|p11(Y)| -(p10(Y)& (all X (-r1(Y,X)|p10(X)))&p10(Y))))))| -((all Y (-r1(X,Y)| -(p10(Y)& (all X (-r1(Y,X)|p10(X))))|p9(Y)))| (all Y (-r1(X,Y)|p10(Y)| -(p9(Y)& (all X (-r1(Y,X)|p9(X)))&p9(Y))))| -((all Y (-r1(X,Y)| (all X (-r1(Y,X)| -(p10(X)& (all Y (-r1(X,Y)|p10(Y))))|p9(X)))|p10(Y)| -(p9(Y)& (all X (-r1(Y,X)|p9(X)))&p9(Y))))& (all Y (-r1(X,Y)| -(p10(Y)& (all X (-r1(Y,X)|p10(X))))|p9(Y)| (all X (-r1(Y,X)|p10(X)| -(p9(X)& (all Y (-r1(X,Y)|p9(Y)))&p9(X))))))& (all Y (-r1(X,Y)| -(p10(Y)& (all X (-r1(Y,X)|p10(X))))|p9(Y)|p10(Y)| -(p9(Y)& (all X (-r1(Y,X)|p9(X)))&p9(Y))))))| -((all Y (-r1(X,Y)| -(p9(Y)& (all X (-r1(Y,X)|p9(X))))|p8(Y)))| (all Y (-r1(X,Y)|p9(Y)| -(p8(Y)& (all X (-r1(Y,X)|p8(X)))&p8(Y))))| -((all Y (-r1(X,Y)| (all X (-r1(Y,X)| -(p9(X)& (all Y (-r1(X,Y)|p9(Y))))|p8(X)))|p9(Y)| -(p8(Y)& (all X (-r1(Y,X)|p8(X)))&p8(Y))))& (all Y (-r1(X,Y)| -(p9(Y)& (all X (-r1(Y,X)|p9(X))))|p8(Y)| (all X (-r1(Y,X)|p9(X)| -(p8(X)& (all Y (-r1(X,Y)|p8(Y)))&p8(X))))))& (all Y (-r1(X,Y)| -(p9(Y)& (all X (-r1(Y,X)|p9(X))))|p8(Y)|p9(Y)| -(p8(Y)& (all X (-r1(Y,X)|p8(X)))&p8(Y))))))| -((all Y (-r1(X,Y)| -(p8(Y)& (all X (-r1(Y,X)|p8(X))))|p7(Y)))| (all Y (-r1(X,Y)|p8(Y)| -(p7(Y)& (all X (-r1(Y,X)|p7(X)))&p7(Y))))| -((all Y (-r1(X,Y)| (all X (-r1(Y,X)| -(p8(X)& (all Y (-r1(X,Y)|p8(Y))))|p7(X)))|p8(Y)| -(p7(Y)& (all X (-r1(Y,X)|p7(X)))&p7(Y))))& (all Y (-r1(X,Y)| -(p8(Y)& (all X (-r1(Y,X)|p8(X))))|p7(Y)| (all X (-r1(Y,X)|p8(X)| -(p7(X)& (all Y (-r1(X,Y)|p7(Y)))&p7(X))))))& (all Y (-r1(X,Y)| -(p8(Y)& (all X (-r1(Y,X)|p8(X))))|p7(Y)|p8(Y)| -(p7(Y)& (all X (-r1(Y,X)|p7(X)))&p7(Y))))))| -((all Y (-r1(X,Y)| -(p7(Y)& (all X (-r1(Y,X)|p7(X))))|p6(Y)))| (all Y (-r1(X,Y)|p7(Y)| -(p6(Y)& (all X (-r1(Y,X)|p6(X)))&p6(Y))))| -((all Y (-r1(X,Y)| (all X (-r1(Y,X)| -(p7(X)& (all Y (-r1(X,Y)|p7(Y))))|p6(X)))|p7(Y)| -(p6(Y)& (all X (-r1(Y,X)|p6(X)))&p6(Y))))& (all Y (-r1(X,Y)| -(p7(Y)& (all X (-r1(Y,X)|p7(X))))|p6(Y)| (all X (-r1(Y,X)|p7(X)| -(p6(X)& (all Y (-r1(X,Y)|p6(Y)))&p6(X))))))& (all Y (-r1(X,Y)| -(p7(Y)& (all X (-r1(Y,X)|p7(X))))|p6(Y)|p7(Y)| -(p6(Y)& (all X (-r1(Y,X)|p6(X)))&p6(Y))))))| -((all Y (-r1(X,Y)| -(p6(Y)& (all X (-r1(Y,X)|p6(X))))|p5(Y)))| (all Y (-r1(X,Y)|p6(Y)| -(p5(Y)& (all X (-r1(Y,X)|p5(X)))&p5(Y))))| -((all Y (-r1(X,Y)| (all X (-r1(Y,X)| -(p6(X)& (all Y (-r1(X,Y)|p6(Y))))|p5(X)))|p6(Y)| -(p5(Y)& (all X (-r1(Y,X)|p5(X)))&p5(Y))))& (all Y (-r1(X,Y)| -(p6(Y)& (all X (-r1(Y,X)|p6(X))))|p5(Y)| (all X (-r1(Y,X)|p6(X)| -(p5(X)& (all Y (-r1(X,Y)|p5(Y)))&p5(X))))))& (all Y (-r1(X,Y)| -(p6(Y)& (all X (-r1(Y,X)|p6(X))))|p5(Y)|p6(Y)| -(p5(Y)& (all X (-r1(Y,X)|p5(X)))&p5(Y))))))| -((all Y (-r1(X,Y)| -(p5(Y)& (all X (-r1(Y,X)|p5(X))))|p4(Y)))| (all Y (-r1(X,Y)|p5(Y)| -(p4(Y)& (all X (-r1(Y,X)|p4(X)))&p4(Y))))| -((all Y (-r1(X,Y)| (all X (-r1(Y,X)| -(p5(X)& (all Y (-r1(X,Y)|p5(Y))))|p4(X)))|p5(Y)| -(p4(Y)& (all X (-r1(Y,X)|p4(X)))&p4(Y))))& (all Y (-r1(X,Y)| -(p5(Y)& (all X (-r1(Y,X)|p5(X))))|p4(Y)| (all X (-r1(Y,X)|p5(X)|
% 3.95/4.10 -------- PROOF --------
% 3.95/4.10 -(p4(X)& (all Y (-r1(X,Y)|p4(Y)))&p4(X))))))& (all Y (-r1(X,Y)| -(p5(Y)& (all X (-r1(Y,X)|p5(X))))|p4(Y)|p5(Y)| -(p4(Y)& (all X (-r1(Y,X)|p4(X)))&p4(Y))))))| (all Y (-r1(X,Y)|p10(Y)| -((all X (-r1(Y,X)|p10(X)))&p10(Y))))| (all Y (-r1(X,Y)|p10(Y)| -((all X (-r1(Y,X)|p10(X)))&p10(Y))))| -((all Y (-r1(X,Y)| -(p4(Y)& (all X (-r1(Y,X)|p4(X))))|p3(Y)))| (all Y (-r1(X,Y)|p4(Y)| -(p3(Y)& (all X (-r1(Y,X)|p3(X)))&p3(Y))))| -((all Y (-r1(X,Y)| (all X (-r1(Y,X)| -(p4(X)& (all Y (-r1(X,Y)|p4(Y))))|p3(X)))|p4(Y)| -(p3(Y)& (all X (-r1(Y,X)|p3(X)))&p3(Y))))& (all Y (-r1(X,Y)| -(p4(Y)& (all X (-r1(Y,X)|p4(X))))|p3(Y)| (all X (-r1(Y,X)|p4(X)| -(p3(X)& (all Y (-r1(X,Y)|p3(Y)))&p3(X))))))& (all Y (-r1(X,Y)| -(p4(Y)& (all X (-r1(Y,X)|p4(X))))|p3(Y)|p4(Y)| -(p3(Y)& (all X (-r1(Y,X)|p3(X)))&p3(Y))))))| -((all Y (-r1(X,Y)| -(p3(Y)& (all X (-r1(Y,X)|p3(X))))|p2(Y)))| (all Y (-r1(X,Y)|p3(Y)| -(p2(Y)& (all X (-r1(Y,X)|p2(X)))&p2(Y))))| -((all Y (-r1(X,Y)| (all X (-r1(Y,X)| -(p3(X)& (all Y (-r1(X,Y)|p3(Y))))|p2(X)))|p3(Y)| -(p2(Y)& (all X (-r1(Y,X)|p2(X)))&p2(Y))))& (all Y (-r1(X,Y)| -(p3(Y)& (all X (-r1(Y,X)|p3(X))))|p2(Y)| (all X (-r1(Y,X)|p3(X)| -(p2(X)& (all Y (-r1(X,Y)|p2(Y)))&p2(X))))))& (all Y (-r1(X,Y)| -(p3(Y)& (all X (-r1(Y,X)|p3(X))))|p2(Y)|p3(Y)| -(p2(Y)& (all X (-r1(Y,X)|p2(X)))&p2(Y))))))| -((all Y (-r1(X,Y)| -(p2(Y)& (all X (-r1(Y,X)|p2(X))))|p1(Y)))| (all Y (-r1(X,Y)|p2(Y)| -(p1(Y)& (all X (-r1(Y,X)|p1(X)))&p1(Y))))| -((all Y (-r1(X,Y)| (all X (-r1(Y,X)| -(p2(X)& (all Y (-r1(X,Y)|p2(Y))))|p1(X)))|p2(Y)| -(p1(Y)& (all X (-r1(Y,X)|p1(X)))&p1(Y))))& (all Y (-r1(X,Y)| -(p2(Y)& (all X (-r1(Y,X)|p2(X))))|p1(Y)| (all X (-r1(Y,X)|p2(X)| -(p1(X)& (all Y (-r1(X,Y)|p1(Y)))&p1(X))))))& (all Y (-r1(X,Y)| -(p2(Y)& (all X (-r1(Y,X)|p2(X))))|p1(Y)|p2(Y)| -(p1(Y)& (all X (-r1(Y,X)|p1(X)))&p1(Y)))))))))).
% 3.95/4.10 end_of_list.
% 3.95/4.10
% 3.95/4.10 -------> usable clausifies to:
% 3.95/4.10
% 3.95/4.10 list(usable).
% 3.95/4.10 0 [] $F.
% 3.95/4.10 end_of_list.
% 3.95/4.10
% 3.95/4.10 SCAN INPUT: prop=1, horn=1, equality=0, symmetry=0, max_lits=0.
% 3.95/4.10
% 3.95/4.10 The clause set is propositional; the strategy will be
% 3.95/4.10 ordered hyperresolution with the propositional
% 3.95/4.10 optimizations, with satellites in sos and nuclei in usable.
% 3.95/4.10
% 3.95/4.10 dependent: set(hyper_res).
% 3.95/4.10 dependent: set(propositional).
% 3.95/4.10 dependent: set(sort_literals).
% 3.95/4.10
% 3.95/4.10 ------------> process usable:
% 3.95/4.10
% 3.95/4.10 ------------> process sos:
% 3.95/4.10 ** KEPT (pick-wt=0): 1 [] $F.
% 3.95/4.10
% 3.95/4.10 -----> EMPTY CLAUSE at 1.82 sec ----> 1 [] $F.
% 3.95/4.10
% 3.95/4.10 Length of proof is -1. Level of proof is -1.
% 3.95/4.10
% 3.95/4.10 ---------------- PROOF ----------------
% 3.95/4.10 % SZS status Theorem
% 3.95/4.10 % SZS output start Refutation
% See solution above
% 3.95/4.10 ------------ end of proof -------------
% 3.95/4.10
% 3.95/4.10
% 3.95/4.10 Search stopped by max_proofs option.
% 3.95/4.10
% 3.95/4.10
% 3.95/4.10 Search stopped by max_proofs option.
% 3.95/4.10
% 3.95/4.10 ============ end of search ============
% 3.95/4.10
% 3.95/4.10 -------------- statistics -------------
% 3.95/4.10 clauses given 0
% 3.95/4.10 clauses generated 0
% 3.95/4.10 clauses kept 0
% 3.95/4.10 clauses forward subsumed 0
% 3.95/4.10 clauses back subsumed 0
% 3.95/4.10 Kbytes malloced 3906
% 3.95/4.10
% 3.95/4.10 ----------- times (seconds) -----------
% 3.95/4.10 user CPU time 1.82 (0 hr, 0 min, 1 sec)
% 3.95/4.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.95/4.10 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.95/4.10
% 3.95/4.10 That finishes the proof of the theorem.
% 3.95/4.10
% 3.95/4.10 Process 13397 finished Wed Jul 27 09:24:25 2022
% 3.95/4.10 Otter interrupted
% 3.95/4.10 PROOF FOUND
%------------------------------------------------------------------------------