TSTP Solution File: SYN040+1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN040+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 13:23:21 EDT 2022
% Result : Theorem 1.65s 1.83s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 2 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,
( ~ p
| q ),
file('SYN040+1.p',unknown),
[] ).
cnf(2,axiom,
~ q,
file('SYN040+1.p',unknown),
[] ).
cnf(3,axiom,
p,
file('SYN040+1.p',unknown),
[] ).
cnf(4,plain,
q,
inference(hyper,[status(thm)],[3,1]),
[iquote('hyper,3,1')] ).
cnf(5,plain,
$false,
inference(binary,[status(thm)],[4,2]),
[iquote('binary,4.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN040+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 11:18:37 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.65/1.83 ----- Otter 3.3f, August 2004 -----
% 1.65/1.83 The process was started by sandbox2 on n027.cluster.edu,
% 1.65/1.83 Wed Jul 27 11:18:37 2022
% 1.65/1.83 The command was "./otter". The process ID is 30902.
% 1.65/1.83
% 1.65/1.83 set(prolog_style_variables).
% 1.65/1.83 set(auto).
% 1.65/1.83 dependent: set(auto1).
% 1.65/1.83 dependent: set(process_input).
% 1.65/1.83 dependent: clear(print_kept).
% 1.65/1.83 dependent: clear(print_new_demod).
% 1.65/1.83 dependent: clear(print_back_demod).
% 1.65/1.83 dependent: clear(print_back_sub).
% 1.65/1.83 dependent: set(control_memory).
% 1.65/1.83 dependent: assign(max_mem, 12000).
% 1.65/1.83 dependent: assign(pick_given_ratio, 4).
% 1.65/1.83 dependent: assign(stats_level, 1).
% 1.65/1.83 dependent: assign(max_seconds, 10800).
% 1.65/1.83 clear(print_given).
% 1.65/1.83
% 1.65/1.83 formula_list(usable).
% 1.65/1.83 -((p->q)<-> (-q-> -p)).
% 1.65/1.83 end_of_list.
% 1.65/1.83
% 1.65/1.83 -------> usable clausifies to:
% 1.65/1.83
% 1.65/1.83 list(usable).
% 1.65/1.83 0 [] -p|q.
% 1.65/1.83 0 [] p.
% 1.65/1.83 0 [] -q.
% 1.65/1.83 end_of_list.
% 1.65/1.83
% 1.65/1.83 SCAN INPUT: prop=1, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.65/1.83
% 1.65/1.83 The clause set is propositional; the strategy will be
% 1.65/1.83 ordered hyperresolution with the propositional
% 1.65/1.83 optimizations, with satellites in sos and nuclei in usable.
% 1.65/1.83
% 1.65/1.83 dependent: set(hyper_res).
% 1.65/1.83 dependent: set(propositional).
% 1.65/1.83 dependent: set(sort_literals).
% 1.65/1.83
% 1.65/1.83 ------------> process usable:
% 1.65/1.83 ** KEPT (pick-wt=2): 1 [] -p|q.
% 1.65/1.83 ** KEPT (pick-wt=1): 2 [] -q.
% 1.65/1.83
% 1.65/1.83 ------------> process sos:
% 1.65/1.83 ** KEPT (pick-wt=1): 3 [] p.
% 1.65/1.83
% 1.65/1.83 ======= end of input processing =======
% 1.65/1.83
% 1.65/1.83 =========== start of search ===========
% 1.65/1.83
% 1.65/1.83 -------- PROOF --------
% 1.65/1.83
% 1.65/1.83 ----> UNIT CONFLICT at 0.00 sec ----> 5 [binary,4.1,2.1] $F.
% 1.65/1.83
% 1.65/1.83 Length of proof is 1. Level of proof is 1.
% 1.65/1.83
% 1.65/1.83 ---------------- PROOF ----------------
% 1.65/1.83 % SZS status Theorem
% 1.65/1.83 % SZS output start Refutation
% See solution above
% 1.65/1.83 ------------ end of proof -------------
% 1.65/1.83
% 1.65/1.83
% 1.65/1.83 Search stopped by max_proofs option.
% 1.65/1.83
% 1.65/1.83
% 1.65/1.83 Search stopped by max_proofs option.
% 1.65/1.83
% 1.65/1.83 ============ end of search ============
% 1.65/1.83
% 1.65/1.83 -------------- statistics -------------
% 1.65/1.83 clauses given 1
% 1.65/1.83 clauses generated 1
% 1.65/1.83 clauses kept 4
% 1.65/1.83 clauses forward subsumed 0
% 1.65/1.83 clauses back subsumed 0
% 1.65/1.83 Kbytes malloced 976
% 1.65/1.83
% 1.65/1.83 ----------- times (seconds) -----------
% 1.65/1.83 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.83 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.83 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.65/1.83
% 1.65/1.83 That finishes the proof of the theorem.
% 1.65/1.83
% 1.65/1.83 Process 30902 finished Wed Jul 27 11:18:38 2022
% 1.65/1.83 Otter interrupted
% 1.65/1.83 PROOF FOUND
%------------------------------------------------------------------------------