TSTP Solution File: LCL664+1.001 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL664+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 13:04:58 EDT 2022
% Result : Theorem 1.73s 1.92s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 1 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ r1(dollar_c5,A)
| p12(A) ),
file('LCL664+1.001.p',unknown),
[] ).
cnf(6,axiom,
~ p12(dollar_c3),
file('LCL664+1.001.p',unknown),
[] ).
cnf(11,axiom,
r1(dollar_c5,dollar_c3),
file('LCL664+1.001.p',unknown),
[] ).
cnf(23,plain,
p12(dollar_c3),
inference(hyper,[status(thm)],[11,2]),
[iquote('hyper,11,2')] ).
cnf(24,plain,
$false,
inference(binary,[status(thm)],[23,6]),
[iquote('binary,23.1,6.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL664+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 09:23:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.73/1.92 ----- Otter 3.3f, August 2004 -----
% 1.73/1.92 The process was started by sandbox on n009.cluster.edu,
% 1.73/1.92 Wed Jul 27 09:23:51 2022
% 1.73/1.92 The command was "./otter". The process ID is 4844.
% 1.73/1.92
% 1.73/1.92 set(prolog_style_variables).
% 1.73/1.92 set(auto).
% 1.73/1.92 dependent: set(auto1).
% 1.73/1.92 dependent: set(process_input).
% 1.73/1.92 dependent: clear(print_kept).
% 1.73/1.92 dependent: clear(print_new_demod).
% 1.73/1.92 dependent: clear(print_back_demod).
% 1.73/1.92 dependent: clear(print_back_sub).
% 1.73/1.92 dependent: set(control_memory).
% 1.73/1.92 dependent: assign(max_mem, 12000).
% 1.73/1.92 dependent: assign(pick_given_ratio, 4).
% 1.73/1.92 dependent: assign(stats_level, 1).
% 1.73/1.92 dependent: assign(max_seconds, 10800).
% 1.73/1.92 clear(print_given).
% 1.73/1.92
% 1.73/1.92 formula_list(usable).
% 1.73/1.92 all X r1(X,X).
% 1.73/1.92 -(-(exists X (-(-(all Y (-r1(X,Y)|p16(Y)))| -(all Y (-r1(X,Y)|p12(Y)))| -(all Y (-r1(X,Y)|p14(Y)))| -(all Y (-r1(X,Y)|p12(Y)))| (all Y (-r1(X,Y)|p15(Y)))| (all Y (-r1(X,Y)|p13(Y)))| (all Y (-r1(X,Y)|p12(Y)))| (all Y (-r1(X,Y)|p11(Y))))))).
% 1.73/1.92 end_of_list.
% 1.73/1.92
% 1.73/1.92 -------> usable clausifies to:
% 1.73/1.92
% 1.73/1.92 list(usable).
% 1.73/1.92 0 [] r1(X,X).
% 1.73/1.92 0 [] -r1($c5,Y)|p16(Y).
% 1.73/1.92 0 [] -r1($c5,X1)|p12(X1).
% 1.73/1.92 0 [] -r1($c5,X2)|p14(X2).
% 1.73/1.92 0 [] -r1($c5,X3)|p12(X3).
% 1.73/1.92 0 [] r1($c5,$c1).
% 1.73/1.92 0 [] -p15($c1).
% 1.73/1.92 0 [] r1($c5,$c2).
% 1.73/1.92 0 [] -p13($c2).
% 1.73/1.92 0 [] r1($c5,$c3).
% 1.73/1.92 0 [] -p12($c3).
% 1.73/1.92 0 [] r1($c5,$c4).
% 1.73/1.92 0 [] -p11($c4).
% 1.73/1.92 end_of_list.
% 1.73/1.92
% 1.73/1.92 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.73/1.92
% 1.73/1.92 This is a Horn set without equality. The strategy will
% 1.73/1.92 be hyperresolution, with satellites in sos and nuclei
% 1.73/1.92 in usable.
% 1.73/1.92
% 1.73/1.92 dependent: set(hyper_res).
% 1.73/1.92 dependent: clear(order_hyper).
% 1.73/1.92
% 1.73/1.92 ------------> process usable:
% 1.73/1.92 ** KEPT (pick-wt=5): 1 [] -r1($c5,A)|p16(A).
% 1.73/1.92 ** KEPT (pick-wt=5): 2 [] -r1($c5,A)|p12(A).
% 1.73/1.92 ** KEPT (pick-wt=5): 3 [] -r1($c5,A)|p14(A).
% 1.73/1.92 Following clause subsumed by 2 during input processing: 0 [] -r1($c5,A)|p12(A).
% 1.73/1.92 ** KEPT (pick-wt=2): 4 [] -p15($c1).
% 1.73/1.92 ** KEPT (pick-wt=2): 5 [] -p13($c2).
% 1.73/1.92 ** KEPT (pick-wt=2): 6 [] -p12($c3).
% 1.73/1.92 ** KEPT (pick-wt=2): 7 [] -p11($c4).
% 1.73/1.92
% 1.73/1.92 ------------> process sos:
% 1.73/1.92 ** KEPT (pick-wt=3): 8 [] r1(A,A).
% 1.73/1.92 ** KEPT (pick-wt=3): 9 [] r1($c5,$c1).
% 1.73/1.92 ** KEPT (pick-wt=3): 10 [] r1($c5,$c2).
% 1.73/1.92 ** KEPT (pick-wt=3): 11 [] r1($c5,$c3).
% 1.73/1.92 ** KEPT (pick-wt=3): 12 [] r1($c5,$c4).
% 1.73/1.92
% 1.73/1.92 ======= end of input processing =======
% 1.73/1.92
% 1.73/1.92 =========== start of search ===========
% 1.73/1.92
% 1.73/1.92 -------- PROOF --------
% 1.73/1.92
% 1.73/1.92 ----> UNIT CONFLICT at 0.00 sec ----> 24 [binary,23.1,6.1] $F.
% 1.73/1.92
% 1.73/1.92 Length of proof is 1. Level of proof is 1.
% 1.73/1.92
% 1.73/1.92 ---------------- PROOF ----------------
% 1.73/1.92 % SZS status Theorem
% 1.73/1.92 % SZS output start Refutation
% See solution above
% 1.73/1.92 ------------ end of proof -------------
% 1.73/1.92
% 1.73/1.92
% 1.73/1.92 Search stopped by max_proofs option.
% 1.73/1.92
% 1.73/1.92
% 1.73/1.92 Search stopped by max_proofs option.
% 1.73/1.92
% 1.73/1.92 ============ end of search ============
% 1.73/1.92
% 1.73/1.92 -------------- statistics -------------
% 1.73/1.92 clauses given 11
% 1.73/1.92 clauses generated 11
% 1.73/1.92 clauses kept 23
% 1.73/1.92 clauses forward subsumed 1
% 1.73/1.92 clauses back subsumed 0
% 1.73/1.92 Kbytes malloced 976
% 1.73/1.92
% 1.73/1.92 ----------- times (seconds) -----------
% 1.73/1.92 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.92 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.92 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.73/1.92
% 1.73/1.92 That finishes the proof of the theorem.
% 1.73/1.92
% 1.73/1.92 Process 4844 finished Wed Jul 27 09:23:52 2022
% 1.73/1.92 Otter interrupted
% 1.73/1.92 PROOF FOUND
%------------------------------------------------------------------------------