TSTP Solution File: SYN392+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN392+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n006.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 1.86s 2.06s
% Output : Refutation 1.86s
% 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('SYN392+1.p',unknown),
[] ).
cnf(2,axiom,
( p1
| ~ p2 ),
file('SYN392+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('SYN392+1.p',unknown),
[] ).
cnf(5,axiom,
( p1
| p2 ),
file('SYN392+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
% 0.00/0.11 % Problem : SYN392+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n006.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 11:04:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.86/2.06 ----- Otter 3.3f, August 2004 -----
% 1.86/2.06 The process was started by sandbox2 on n006.cluster.edu,
% 1.86/2.06 Wed Jul 27 11:04:02 2022
% 1.86/2.06 The command was "./otter". The process ID is 27850.
% 1.86/2.06
% 1.86/2.06 set(prolog_style_variables).
% 1.86/2.06 set(auto).
% 1.86/2.06 dependent: set(auto1).
% 1.86/2.06 dependent: set(process_input).
% 1.86/2.06 dependent: clear(print_kept).
% 1.86/2.06 dependent: clear(print_new_demod).
% 1.86/2.06 dependent: clear(print_back_demod).
% 1.86/2.06 dependent: clear(print_back_sub).
% 1.86/2.06 dependent: set(control_memory).
% 1.86/2.06 dependent: assign(max_mem, 12000).
% 1.86/2.06 dependent: assign(pick_given_ratio, 4).
% 1.86/2.06 dependent: assign(stats_level, 1).
% 1.86/2.06 dependent: assign(max_seconds, 10800).
% 1.86/2.06 clear(print_given).
% 1.86/2.06
% 1.86/2.06 formula_list(usable).
% 1.86/2.06 -((p1<->p2)<-> (p2| -p1)& (-p2|p1)).
% 1.86/2.06 end_of_list.
% 1.86/2.06
% 1.86/2.06 -------> usable clausifies to:
% 1.86/2.06
% 1.86/2.06 list(usable).
% 1.86/2.06 0 [] -p1|p2.
% 1.86/2.06 0 [] p1| -p2.
% 1.86/2.06 0 [] p1|p2.
% 1.86/2.06 0 [] -p1| -p2.
% 1.86/2.06 end_of_list.
% 1.86/2.06
% 1.86/2.06 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.86/2.06
% 1.86/2.06 The clause set is propositional; the strategy will be
% 1.86/2.06 ordered hyperresolution with the propositional
% 1.86/2.06 optimizations, with satellites in sos and nuclei in usable.
% 1.86/2.06
% 1.86/2.06 dependent: set(hyper_res).
% 1.86/2.06 dependent: set(propositional).
% 1.86/2.06 dependent: set(sort_literals).
% 1.86/2.06
% 1.86/2.06 ------------> process usable:
% 1.86/2.06 ** KEPT (pick-wt=2): 1 [] -p1|p2.
% 1.86/2.06 ** KEPT (pick-wt=2): 3 [copy,2,propositional] -p2|p1.
% 1.86/2.06 ** KEPT (pick-wt=2): 4 [] -p1| -p2.
% 1.86/2.06
% 1.86/2.06 ------------> process sos:
% 1.86/2.06 ** KEPT (pick-wt=2): 5 [] p1|p2.
% 1.86/2.06
% 1.86/2.06 ======= end of input processing =======
% 1.86/2.06
% 1.86/2.06 =========== start of search ===========
% 1.86/2.06
% 1.86/2.06 -------- PROOF --------
% 1.86/2.06
% 1.86/2.06 -----> EMPTY CLAUSE at 0.00 sec ----> 8 [hyper,7,4,6] $F.
% 1.86/2.06
% 1.86/2.06 Length of proof is 3. Level of proof is 3.
% 1.86/2.06
% 1.86/2.06 ---------------- PROOF ----------------
% 1.86/2.06 % SZS status Theorem
% 1.86/2.06 % SZS output start Refutation
% See solution above
% 1.86/2.06 ------------ end of proof -------------
% 1.86/2.06
% 1.86/2.06
% 1.86/2.06 Search stopped by max_proofs option.
% 1.86/2.06
% 1.86/2.06
% 1.86/2.06 Search stopped by max_proofs option.
% 1.86/2.06
% 1.86/2.06 ============ end of search ============
% 1.86/2.06
% 1.86/2.06 -------------- statistics -------------
% 1.86/2.06 clauses given 3
% 1.86/2.06 clauses generated 3
% 1.86/2.06 clauses kept 6
% 1.86/2.06 clauses forward subsumed 0
% 1.86/2.06 clauses back subsumed 3
% 1.86/2.06 Kbytes malloced 976
% 1.86/2.06
% 1.86/2.06 ----------- times (seconds) -----------
% 1.86/2.06 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.86/2.06 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.86/2.06 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.86/2.06
% 1.86/2.06 That finishes the proof of the theorem.
% 1.86/2.06
% 1.86/2.06 Process 27850 finished Wed Jul 27 11:04:03 2022
% 1.86/2.06 Otter interrupted
% 1.86/2.06 PROOF FOUND
%------------------------------------------------------------------------------