TSTP Solution File: SYN391+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN391+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.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 13:24:26 EDT 2022
% Result : Theorem 1.85s 2.02s
% Output : Refutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 3 unt; 1 nHn; 8 RR)
% Number of literals : 13 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 2 usr; 3 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p1
| p2 ),
file('SYN391+1.p',unknown),
[] ).
cnf(2,axiom,
( p1
| ~ p2 ),
file('SYN391+1.p',unknown),
[] ).
cnf(3,plain,
( ~ p2
| p1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,propositional')] ).
cnf(4,axiom,
( ~ p1
| ~ p2 ),
file('SYN391+1.p',unknown),
[] ).
cnf(5,axiom,
( p1
| p2 ),
file('SYN391+1.p',unknown),
[] ).
cnf(6,plain,
p1,
inference(hyper,[status(thm)],[5,3]),
[iquote('hyper,5,3')] ).
cnf(7,plain,
p2,
inference(hyper,[status(thm)],[6,1]),
[iquote('hyper,6,1')] ).
cnf(8,plain,
$false,
inference(hyper,[status(thm)],[7,4,6]),
[iquote('hyper,7,4,6')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN391+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n025.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 11:19:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.85/2.02 ----- Otter 3.3f, August 2004 -----
% 1.85/2.02 The process was started by sandbox2 on n025.cluster.edu,
% 1.85/2.02 Wed Jul 27 11:19:15 2022
% 1.85/2.02 The command was "./otter". The process ID is 27147.
% 1.85/2.02
% 1.85/2.02 set(prolog_style_variables).
% 1.85/2.02 set(auto).
% 1.85/2.02 dependent: set(auto1).
% 1.85/2.02 dependent: set(process_input).
% 1.85/2.02 dependent: clear(print_kept).
% 1.85/2.02 dependent: clear(print_new_demod).
% 1.85/2.02 dependent: clear(print_back_demod).
% 1.85/2.02 dependent: clear(print_back_sub).
% 1.85/2.02 dependent: set(control_memory).
% 1.85/2.02 dependent: assign(max_mem, 12000).
% 1.85/2.02 dependent: assign(pick_given_ratio, 4).
% 1.85/2.02 dependent: assign(stats_level, 1).
% 1.85/2.02 dependent: assign(max_seconds, 10800).
% 1.85/2.02 clear(print_given).
% 1.85/2.02
% 1.85/2.02 formula_list(usable).
% 1.85/2.02 -((p1|p2)& (-p1|p2)& (p1| -p2)-> -(-p1| -p2)).
% 1.85/2.02 end_of_list.
% 1.85/2.02
% 1.85/2.02 -------> usable clausifies to:
% 1.85/2.02
% 1.85/2.02 list(usable).
% 1.85/2.02 0 [] p1|p2.
% 1.85/2.02 0 [] -p1|p2.
% 1.85/2.02 0 [] p1| -p2.
% 1.85/2.02 0 [] -p1| -p2.
% 1.85/2.02 end_of_list.
% 1.85/2.02
% 1.85/2.02 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.85/2.02
% 1.85/2.02 The clause set is propositional; the strategy will be
% 1.85/2.02 ordered hyperresolution with the propositional
% 1.85/2.02 optimizations, with satellites in sos and nuclei in usable.
% 1.85/2.02
% 1.85/2.02 dependent: set(hyper_res).
% 1.85/2.02 dependent: set(propositional).
% 1.85/2.02 dependent: set(sort_literals).
% 1.85/2.02
% 1.85/2.02 ------------> process usable:
% 1.85/2.02 ** KEPT (pick-wt=2): 1 [] -p1|p2.
% 1.85/2.02 ** KEPT (pick-wt=2): 3 [copy,2,propositional] -p2|p1.
% 1.85/2.02 ** KEPT (pick-wt=2): 4 [] -p1| -p2.
% 1.85/2.02
% 1.85/2.02 ------------> process sos:
% 1.85/2.02 ** KEPT (pick-wt=2): 5 [] p1|p2.
% 1.85/2.02
% 1.85/2.02 ======= end of input processing =======
% 1.85/2.02
% 1.85/2.02 =========== start of search ===========
% 1.85/2.02
% 1.85/2.02 -------- PROOF --------
% 1.85/2.02
% 1.85/2.02 -----> EMPTY CLAUSE at 0.00 sec ----> 8 [hyper,7,4,6] $F.
% 1.85/2.02
% 1.85/2.02 Length of proof is 3. Level of proof is 3.
% 1.85/2.02
% 1.85/2.02 ---------------- PROOF ----------------
% 1.85/2.02 % SZS status Theorem
% 1.85/2.02 % SZS output start Refutation
% See solution above
% 1.85/2.02 ------------ end of proof -------------
% 1.85/2.02
% 1.85/2.02
% 1.85/2.02 Search stopped by max_proofs option.
% 1.85/2.02
% 1.85/2.02
% 1.85/2.02 Search stopped by max_proofs option.
% 1.85/2.02
% 1.85/2.02 ============ end of search ============
% 1.85/2.02
% 1.85/2.02 -------------- statistics -------------
% 1.85/2.02 clauses given 3
% 1.85/2.02 clauses generated 3
% 1.85/2.02 clauses kept 6
% 1.85/2.02 clauses forward subsumed 0
% 1.85/2.02 clauses back subsumed 3
% 1.85/2.02 Kbytes malloced 976
% 1.85/2.02
% 1.85/2.02 ----------- times (seconds) -----------
% 1.85/2.02 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.85/2.02 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.85/2.02 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.85/2.02
% 1.85/2.02 That finishes the proof of the theorem.
% 1.85/2.02
% 1.85/2.02 Process 27147 finished Wed Jul 27 11:19:17 2022
% 1.85/2.02 Otter interrupted
% 1.85/2.02 PROOF FOUND
%------------------------------------------------------------------------------