TSTP Solution File: KRS004-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS004-1 : TPTP v8.1.0. Released v2.0.0.
% 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 13:00:57 EDT 2022
% Result : Unsatisfiable 1.57s 1.78s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 3 unt; 0 nHn; 5 RR)
% Number of literals : 7 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( d(A)
| ~ c(A) ),
file('KRS004-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ c(A)
| ~ d(A) ),
file('KRS004-1.p',unknown),
[] ).
cnf(3,axiom,
c(exist),
file('KRS004-1.p',unknown),
[] ).
cnf(4,plain,
d(exist),
inference(hyper,[status(thm)],[3,1]),
[iquote('hyper,3,1')] ).
cnf(5,plain,
$false,
inference(hyper,[status(thm)],[4,2,3]),
[iquote('hyper,4,2,3')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS004-1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % 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 03:33:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.57/1.78 ----- Otter 3.3f, August 2004 -----
% 1.57/1.78 The process was started by sandbox on n028.cluster.edu,
% 1.57/1.78 Wed Jul 27 03:33:48 2022
% 1.57/1.78 The command was "./otter". The process ID is 9858.
% 1.57/1.78
% 1.57/1.78 set(prolog_style_variables).
% 1.57/1.78 set(auto).
% 1.57/1.78 dependent: set(auto1).
% 1.57/1.78 dependent: set(process_input).
% 1.57/1.78 dependent: clear(print_kept).
% 1.57/1.78 dependent: clear(print_new_demod).
% 1.57/1.78 dependent: clear(print_back_demod).
% 1.57/1.78 dependent: clear(print_back_sub).
% 1.57/1.78 dependent: set(control_memory).
% 1.57/1.78 dependent: assign(max_mem, 12000).
% 1.57/1.78 dependent: assign(pick_given_ratio, 4).
% 1.57/1.78 dependent: assign(stats_level, 1).
% 1.57/1.78 dependent: assign(max_seconds, 10800).
% 1.57/1.78 clear(print_given).
% 1.57/1.78
% 1.57/1.78 list(usable).
% 1.57/1.78 0 [] c(exist).
% 1.57/1.78 0 [] d(X1)| -c(X1).
% 1.57/1.78 0 [] -c(X1)| -d(X1).
% 1.57/1.78 0 [] -d(X1)| -c(X1).
% 1.57/1.78 end_of_list.
% 1.57/1.78
% 1.57/1.78 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.57/1.78
% 1.57/1.78 This is a Horn set without equality. The strategy will
% 1.57/1.78 be hyperresolution, with satellites in sos and nuclei
% 1.57/1.78 in usable.
% 1.57/1.78
% 1.57/1.78 dependent: set(hyper_res).
% 1.57/1.78 dependent: clear(order_hyper).
% 1.57/1.78
% 1.57/1.78 ------------> process usable:
% 1.57/1.78 ** KEPT (pick-wt=4): 1 [] d(A)| -c(A).
% 1.57/1.78 ** KEPT (pick-wt=4): 2 [] -c(A)| -d(A).
% 1.57/1.78 Following clause subsumed by 2 during input processing: 0 [] -d(A)| -c(A).
% 1.57/1.78
% 1.57/1.78 ------------> process sos:
% 1.57/1.78 ** KEPT (pick-wt=2): 3 [] c(exist).
% 1.57/1.78
% 1.57/1.78 ======= end of input processing =======
% 1.57/1.78
% 1.57/1.78 =========== start of search ===========
% 1.57/1.78
% 1.57/1.78 -------- PROOF --------
% 1.57/1.78
% 1.57/1.78 -----> EMPTY CLAUSE at 0.00 sec ----> 5 [hyper,4,2,3] $F.
% 1.57/1.78
% 1.57/1.78 Length of proof is 1. Level of proof is 1.
% 1.57/1.78
% 1.57/1.78 ---------------- PROOF ----------------
% 1.57/1.78 % SZS status Unsatisfiable
% 1.57/1.78 % SZS output start Refutation
% See solution above
% 1.57/1.78 ------------ end of proof -------------
% 1.57/1.78
% 1.57/1.78
% 1.57/1.78 Search stopped by max_proofs option.
% 1.57/1.78
% 1.57/1.78
% 1.57/1.78 Search stopped by max_proofs option.
% 1.57/1.78
% 1.57/1.78 ============ end of search ============
% 1.57/1.78
% 1.57/1.78 -------------- statistics -------------
% 1.57/1.78 clauses given 2
% 1.57/1.78 clauses generated 2
% 1.57/1.78 clauses kept 4
% 1.57/1.78 clauses forward subsumed 1
% 1.57/1.78 clauses back subsumed 0
% 1.57/1.78 Kbytes malloced 976
% 1.57/1.78
% 1.57/1.78 ----------- times (seconds) -----------
% 1.57/1.78 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.57/1.78 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.57/1.78 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.57/1.78
% 1.57/1.78 That finishes the proof of the theorem.
% 1.57/1.78
% 1.57/1.78 Process 9858 finished Wed Jul 27 03:33:50 2022
% 1.57/1.78 Otter interrupted
% 1.57/1.78 PROOF FOUND
%------------------------------------------------------------------------------