TSTP Solution File: SET045+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.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 13:12:55 EDT 2022
% Result : Theorem 1.60s 1.79s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 4 unt; 1 nHn; 5 RR)
% Number of literals : 9 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 7 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ element(A,dollar_f1(B))
| ~ element(A,A) ),
file('SET045+1.p',unknown),
[] ).
cnf(3,axiom,
( element(A,dollar_f1(B))
| ~ element(A,B)
| element(A,A) ),
file('SET045+1.p',unknown),
[] ).
cnf(4,plain,
~ element(dollar_f1(A),dollar_f1(A)),
inference(factor,[status(thm)],[2]),
[iquote('factor,2.1.2')] ).
cnf(5,plain,
~ element(dollar_f1(A),A),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[3]),4]),
[iquote('factor,3.1.3,unit_del,4')] ).
cnf(6,axiom,
element(A,dollar_c1),
file('SET045+1.p',unknown),
[] ).
cnf(7,plain,
$false,
inference(binary,[status(thm)],[6,5]),
[iquote('binary,6.1,5.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 10:37:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.60/1.79
% 1.60/1.79 -------- PROOF --------
% 1.60/1.79 ----- Otter 3.3f, August 2004 -----
% 1.60/1.79 The process was started by sandbox on n008.cluster.edu,
% 1.60/1.79 Wed Jul 27 10:37:38 2022
% 1.60/1.79 The command was "./otter". The process ID is 7453.
% 1.60/1.79
% 1.60/1.79 set(prolog_style_variables).
% 1.60/1.79 set(auto).
% 1.60/1.79 dependent: set(auto1).
% 1.60/1.79 dependent: set(process_input).
% 1.60/1.79 dependent: clear(print_kept).
% 1.60/1.79 dependent: clear(print_new_demod).
% 1.60/1.79 dependent: clear(print_back_demod).
% 1.60/1.79 dependent: clear(print_back_sub).
% 1.60/1.79 dependent: set(control_memory).
% 1.60/1.79 dependent: assign(max_mem, 12000).
% 1.60/1.79 dependent: assign(pick_given_ratio, 4).
% 1.60/1.79 dependent: assign(stats_level, 1).
% 1.60/1.79 dependent: assign(max_seconds, 10800).
% 1.60/1.79 clear(print_given).
% 1.60/1.79
% 1.60/1.79 formula_list(usable).
% 1.60/1.79 all Z exists Y all X (element(X,Y)<->element(X,Z)& -element(X,X)).
% 1.60/1.79 -(-(exists Z all X element(X,Z))).
% 1.60/1.79 end_of_list.
% 1.60/1.79
% 1.60/1.79 -------> usable clausifies to:
% 1.60/1.79
% 1.60/1.79 list(usable).
% 1.60/1.79 0 [] -element(X,$f1(Z))|element(X,Z).
% 1.60/1.79 0 [] -element(X,$f1(Z))| -element(X,X).
% 1.60/1.79 0 [] element(X,$f1(Z))| -element(X,Z)|element(X,X).
% 1.60/1.79 0 [] element(X,$c1).
% 1.60/1.79 end_of_list.
% 1.60/1.79
% 1.60/1.79 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.60/1.79
% 1.60/1.79 This is a non-Horn set without equality. The strategy will
% 1.60/1.79 be ordered hyper_res, unit deletion, and factoring, with
% 1.60/1.79 satellites in sos and with nuclei in usable.
% 1.60/1.79
% 1.60/1.79 dependent: set(hyper_res).
% 1.60/1.79 dependent: set(factor).
% 1.60/1.79 dependent: set(unit_deletion).
% 1.60/1.79
% 1.60/1.79 ------------> process usable:
% 1.60/1.79 ** KEPT (pick-wt=7): 1 [] -element(A,$f1(B))|element(A,B).
% 1.60/1.79 ** KEPT (pick-wt=7): 2 [] -element(A,$f1(B))| -element(A,A).
% 1.60/1.79 ** KEPT (pick-wt=10): 3 [] element(A,$f1(B))| -element(A,B)|element(A,A).
% 1.60/1.79
% 1.60/1.79 ------------> process sos:
% 1.60/1.79 ** KEPT (pick-wt=3): 6 [] element(A,$c1).
% 1.60/1.79
% 1.60/1.79 ----> UNIT CONFLICT at 0.00 sec ----> 7 [binary,6.1,5.1] $F.
% 1.60/1.79
% 1.60/1.79 Length of proof is 2. Level of proof is 2.
% 1.60/1.79
% 1.60/1.79 ---------------- PROOF ----------------
% 1.60/1.79 % SZS status Theorem
% 1.60/1.79 % SZS output start Refutation
% See solution above
% 1.60/1.79 ------------ end of proof -------------
% 1.60/1.79
% 1.60/1.79
% 1.60/1.79 Search stopped by max_proofs option.
% 1.60/1.79
% 1.60/1.79
% 1.60/1.79 Search stopped by max_proofs option.
% 1.60/1.79
% 1.60/1.79 ============ end of search ============
% 1.60/1.79
% 1.60/1.79 -------------- statistics -------------
% 1.60/1.79 clauses given 0
% 1.60/1.79 clauses generated 2
% 1.60/1.79 clauses kept 6
% 1.60/1.79 clauses forward subsumed 0
% 1.60/1.79 clauses back subsumed 0
% 1.60/1.79 Kbytes malloced 976
% 1.60/1.79
% 1.60/1.79 ----------- times (seconds) -----------
% 1.60/1.79 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.60/1.79 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.60/1.79 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.60/1.79
% 1.60/1.79 That finishes the proof of the theorem.
% 1.60/1.79
% 1.60/1.79 Process 7453 finished Wed Jul 27 10:37:40 2022
% 1.60/1.79 Otter interrupted
% 1.60/1.79 PROOF FOUND
%------------------------------------------------------------------------------