TSTP Solution File: SYN008-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN008-1 : TPTP v8.1.0. Released v1.0.0.
% 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 13:23:18 EDT 2022
% Result : Unsatisfiable 1.66s 1.87s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 2 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 3 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,
~ p,
file('SYN008-1.p',unknown),
[] ).
cnf(2,axiom,
~ q,
file('SYN008-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ r
| p
| q ),
file('SYN008-1.p',unknown),
[] ).
cnf(6,axiom,
r,
file('SYN008-1.p',unknown),
[] ).
cnf(7,plain,
( p
| q ),
inference(hyper,[status(thm)],[6,5]),
[iquote('hyper,6,5')] ).
cnf(10,plain,
p,
inference(hyper,[status(thm)],[7,2]),
[iquote('hyper,7,2')] ).
cnf(11,plain,
$false,
inference(binary,[status(thm)],[10,1]),
[iquote('binary,10.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 11:32:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.66/1.87 ----- Otter 3.3f, August 2004 -----
% 1.66/1.87 The process was started by sandbox2 on n028.cluster.edu,
% 1.66/1.87 Wed Jul 27 11:32:34 2022
% 1.66/1.87 The command was "./otter". The process ID is 16166.
% 1.66/1.87
% 1.66/1.87 set(prolog_style_variables).
% 1.66/1.87 set(auto).
% 1.66/1.87 dependent: set(auto1).
% 1.66/1.87 dependent: set(process_input).
% 1.66/1.87 dependent: clear(print_kept).
% 1.66/1.87 dependent: clear(print_new_demod).
% 1.66/1.87 dependent: clear(print_back_demod).
% 1.66/1.87 dependent: clear(print_back_sub).
% 1.66/1.87 dependent: set(control_memory).
% 1.66/1.87 dependent: assign(max_mem, 12000).
% 1.66/1.87 dependent: assign(pick_given_ratio, 4).
% 1.66/1.87 dependent: assign(stats_level, 1).
% 1.66/1.87 dependent: assign(max_seconds, 10800).
% 1.66/1.87 clear(print_given).
% 1.66/1.87
% 1.66/1.87 list(usable).
% 1.66/1.87 0 [] -p.
% 1.66/1.87 0 [] -q.
% 1.66/1.87 0 [] r.
% 1.66/1.87 0 [] -r|a|b.
% 1.66/1.87 0 [] -r|p|c|d.
% 1.66/1.87 0 [] -r|p|q.
% 1.66/1.87 end_of_list.
% 1.66/1.87
% 1.66/1.87 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.66/1.87
% 1.66/1.87 The clause set is propositional; the strategy will be
% 1.66/1.87 ordered hyperresolution with the propositional
% 1.66/1.87 optimizations, with satellites in sos and nuclei in usable.
% 1.66/1.87
% 1.66/1.87 dependent: set(hyper_res).
% 1.66/1.87 dependent: set(propositional).
% 1.66/1.87 dependent: set(sort_literals).
% 1.66/1.87
% 1.66/1.87 ------------> process usable:
% 1.66/1.87 ** KEPT (pick-wt=1): 1 [] -p.
% 1.66/1.87 ** KEPT (pick-wt=1): 2 [] -q.
% 1.66/1.87 ** KEPT (pick-wt=3): 3 [] -r|a|b.
% 1.66/1.87 ** KEPT (pick-wt=4): 4 [] -r|p|c|d.
% 1.66/1.87 ** KEPT (pick-wt=3): 5 [] -r|p|q.
% 1.66/1.87
% 1.66/1.87 ------------> process sos:
% 1.66/1.87 ** KEPT (pick-wt=1): 6 [] r.
% 1.66/1.87
% 1.66/1.87 ======= end of input processing =======
% 1.66/1.87
% 1.66/1.87 =========== start of search ===========
% 1.66/1.87
% 1.66/1.87 -------- PROOF --------
% 1.66/1.87
% 1.66/1.87 ----> UNIT CONFLICT at 0.00 sec ----> 11 [binary,10.1,1.1] $F.
% 1.66/1.87
% 1.66/1.87 Length of proof is 2. Level of proof is 2.
% 1.66/1.87
% 1.66/1.87 ---------------- PROOF ----------------
% 1.66/1.87 % SZS status Unsatisfiable
% 1.66/1.87 % SZS output start Refutation
% See solution above
% 1.66/1.87 ------------ end of proof -------------
% 1.66/1.87
% 1.66/1.87
% 1.66/1.87 Search stopped by max_proofs option.
% 1.66/1.87
% 1.66/1.87
% 1.66/1.87 Search stopped by max_proofs option.
% 1.66/1.87
% 1.66/1.87 ============ end of search ============
% 1.66/1.87
% 1.66/1.87 -------------- statistics -------------
% 1.66/1.87 clauses given 2
% 1.66/1.87 clauses generated 4
% 1.66/1.87 clauses kept 10
% 1.66/1.87 clauses forward subsumed 0
% 1.66/1.87 clauses back subsumed 3
% 1.66/1.87 Kbytes malloced 976
% 1.66/1.87
% 1.66/1.87 ----------- times (seconds) -----------
% 1.66/1.87 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.87 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.66/1.87
% 1.66/1.87 That finishes the proof of the theorem.
% 1.66/1.87
% 1.66/1.87 Process 16166 finished Wed Jul 27 11:32:35 2022
% 1.66/1.87 Otter interrupted
% 1.66/1.87 PROOF FOUND
%------------------------------------------------------------------------------