TSTP Solution File: SYN044+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN044+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 13:23:22 EDT 2022
% Result : Theorem 1.87s 2.06s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 3 unt; 5 nHn; 13 RR)
% Number of literals : 24 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ q
| r ),
file('SYN044+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ r
| p ),
file('SYN044+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ r
| q ),
file('SYN044+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ p
| q
| r ),
file('SYN044+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ p
| ~ q ),
file('SYN044+1.p',unknown),
[] ).
cnf(6,plain,
( ~ q
| ~ p ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[5])]),
[iquote('copy,5,propositional')] ).
cnf(7,axiom,
( p
| q ),
file('SYN044+1.p',unknown),
[] ).
cnf(8,plain,
( q
| p ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[7])]),
[iquote('copy,7,propositional')] ).
cnf(9,plain,
( r
| p ),
inference(hyper,[status(thm)],[8,1]),
[iquote('hyper,8,1')] ).
cnf(10,plain,
p,
inference(hyper,[status(thm)],[9,2]),
[iquote('hyper,9,2')] ).
cnf(11,plain,
( q
| r ),
inference(hyper,[status(thm)],[10,4]),
[iquote('hyper,10,4')] ).
cnf(12,plain,
q,
inference(hyper,[status(thm)],[11,3]),
[iquote('hyper,11,3')] ).
cnf(13,plain,
$false,
inference(hyper,[status(thm)],[12,6,10]),
[iquote('hyper,12,6,10')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN044+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Jul 27 11:13:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.87/2.06 ----- Otter 3.3f, August 2004 -----
% 1.87/2.06 The process was started by sandbox on n006.cluster.edu,
% 1.87/2.06 Wed Jul 27 11:13:47 2022
% 1.87/2.06 The command was "./otter". The process ID is 17346.
% 1.87/2.06
% 1.87/2.06 set(prolog_style_variables).
% 1.87/2.06 set(auto).
% 1.87/2.06 dependent: set(auto1).
% 1.87/2.06 dependent: set(process_input).
% 1.87/2.06 dependent: clear(print_kept).
% 1.87/2.06 dependent: clear(print_new_demod).
% 1.87/2.06 dependent: clear(print_back_demod).
% 1.87/2.06 dependent: clear(print_back_sub).
% 1.87/2.06 dependent: set(control_memory).
% 1.87/2.06 dependent: assign(max_mem, 12000).
% 1.87/2.06 dependent: assign(pick_given_ratio, 4).
% 1.87/2.06 dependent: assign(stats_level, 1).
% 1.87/2.06 dependent: assign(max_seconds, 10800).
% 1.87/2.06 clear(print_given).
% 1.87/2.06
% 1.87/2.06 formula_list(usable).
% 1.87/2.06 q->r.
% 1.87/2.06 r->p&q.
% 1.87/2.06 p->q|r.
% 1.87/2.06 -(p<->q).
% 1.87/2.06 end_of_list.
% 1.87/2.06
% 1.87/2.06 -------> usable clausifies to:
% 1.87/2.06
% 1.87/2.06 list(usable).
% 1.87/2.06 0 [] -q|r.
% 1.87/2.06 0 [] -r|p.
% 1.87/2.06 0 [] -r|q.
% 1.87/2.06 0 [] -p|q|r.
% 1.87/2.06 0 [] p|q.
% 1.87/2.06 0 [] -p| -q.
% 1.87/2.06 end_of_list.
% 1.87/2.06
% 1.87/2.06 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.87/2.06
% 1.87/2.06 The clause set is propositional; the strategy will be
% 1.87/2.06 ordered hyperresolution with the propositional
% 1.87/2.06 optimizations, with satellites in sos and nuclei in usable.
% 1.87/2.06
% 1.87/2.06 dependent: set(hyper_res).
% 1.87/2.06 dependent: set(propositional).
% 1.87/2.06 dependent: set(sort_literals).
% 1.87/2.06
% 1.87/2.06 ------------> process usable:
% 1.87/2.06 ** KEPT (pick-wt=2): 1 [] -q|r.
% 1.87/2.06 ** KEPT (pick-wt=2): 2 [] -r|p.
% 1.87/2.06 ** KEPT (pick-wt=2): 3 [] -r|q.
% 1.87/2.06 ** KEPT (pick-wt=3): 4 [] -p|q|r.
% 1.87/2.06 ** KEPT (pick-wt=2): 6 [copy,5,propositional] -q| -p.
% 1.87/2.06
% 1.87/2.06 ------------> process sos:
% 1.87/2.06 ** KEPT (pick-wt=2): 8 [copy,7,propositional] q|p.
% 1.87/2.06
% 1.87/2.06 ======= end of input processing =======
% 1.87/2.06
% 1.87/2.06 =========== start of search ===========
% 1.87/2.06
% 1.87/2.06 -------- PROOF --------
% 1.87/2.06
% 1.87/2.06 -----> EMPTY CLAUSE at 0.00 sec ----> 13 [hyper,12,6,10] $F.
% 1.87/2.06
% 1.87/2.06 Length of proof is 6. Level of proof is 5.
% 1.87/2.06
% 1.87/2.06 ---------------- PROOF ----------------
% 1.87/2.06 % SZS status Theorem
% 1.87/2.06 % SZS output start Refutation
% See solution above
% 1.87/2.06 ------------ end of proof -------------
% 1.87/2.07
% 1.87/2.07
% 1.87/2.07 Search stopped by max_proofs option.
% 1.87/2.07
% 1.87/2.07
% 1.87/2.07 Search stopped by max_proofs option.
% 1.87/2.07
% 1.87/2.07 ============ end of search ============
% 1.87/2.07
% 1.87/2.07 -------------- statistics -------------
% 1.87/2.07 clauses given 5
% 1.87/2.07 clauses generated 6
% 1.87/2.07 clauses kept 10
% 1.87/2.07 clauses forward subsumed 1
% 1.87/2.07 clauses back subsumed 6
% 1.87/2.07 Kbytes malloced 976
% 1.87/2.07
% 1.87/2.07 ----------- times (seconds) -----------
% 1.87/2.07 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.87/2.07 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.87/2.07 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.87/2.07
% 1.87/2.07 That finishes the proof of the theorem.
% 1.87/2.07
% 1.87/2.07 Process 17346 finished Wed Jul 27 11:13:48 2022
% 1.87/2.07 Otter interrupted
% 1.87/2.07 PROOF FOUND
%------------------------------------------------------------------------------