TSTP Solution File: SYN085-1.010 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN085-1.010 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n013.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 13:23:32 EDT 2022
% Result : Unsatisfiable 1.90s 2.08s
% Output : Refutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of clauses : 15 ( 13 unt; 0 nHn; 15 RR)
% Number of literals : 35 ( 0 equ; 21 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 12 ( 11 usr; 12 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p_0,
file('SYN085-1.010.p',unknown),
[] ).
cnf(2,axiom,
( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 ),
file('SYN085-1.010.p',unknown),
[] ).
cnf(3,plain,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10
| p_0 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,propositional')] ).
cnf(4,axiom,
p_1,
file('SYN085-1.010.p',unknown),
[] ).
cnf(5,axiom,
p_2,
file('SYN085-1.010.p',unknown),
[] ).
cnf(6,axiom,
p_3,
file('SYN085-1.010.p',unknown),
[] ).
cnf(7,axiom,
p_4,
file('SYN085-1.010.p',unknown),
[] ).
cnf(8,axiom,
p_5,
file('SYN085-1.010.p',unknown),
[] ).
cnf(9,axiom,
p_6,
file('SYN085-1.010.p',unknown),
[] ).
cnf(10,axiom,
p_7,
file('SYN085-1.010.p',unknown),
[] ).
cnf(11,axiom,
p_8,
file('SYN085-1.010.p',unknown),
[] ).
cnf(12,axiom,
p_9,
file('SYN085-1.010.p',unknown),
[] ).
cnf(13,axiom,
p_10,
file('SYN085-1.010.p',unknown),
[] ).
cnf(14,plain,
p_0,
inference(hyper,[status(thm)],[13,3,4,5,6,7,8,9,10,11,12]),
[iquote('hyper,13,3,4,5,6,7,8,9,10,11,12')] ).
cnf(15,plain,
$false,
inference(binary,[status(thm)],[14,1]),
[iquote('binary,14.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN085-1.010 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n013.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 11:15:00 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.90/2.08 ----- Otter 3.3f, August 2004 -----
% 1.90/2.08 The process was started by sandbox on n013.cluster.edu,
% 1.90/2.08 Wed Jul 27 11:15:00 2022
% 1.90/2.08 The command was "./otter". The process ID is 3844.
% 1.90/2.08
% 1.90/2.08 set(prolog_style_variables).
% 1.90/2.08 set(auto).
% 1.90/2.08 dependent: set(auto1).
% 1.90/2.08 dependent: set(process_input).
% 1.90/2.08 dependent: clear(print_kept).
% 1.90/2.08 dependent: clear(print_new_demod).
% 1.90/2.08 dependent: clear(print_back_demod).
% 1.90/2.08 dependent: clear(print_back_sub).
% 1.90/2.08 dependent: set(control_memory).
% 1.90/2.08 dependent: assign(max_mem, 12000).
% 1.90/2.08 dependent: assign(pick_given_ratio, 4).
% 1.90/2.08 dependent: assign(stats_level, 1).
% 1.90/2.08 dependent: assign(max_seconds, 10800).
% 1.90/2.08 clear(print_given).
% 1.90/2.08
% 1.90/2.08 list(usable).
% 1.90/2.08 0 [] -p_0.
% 1.90/2.08 0 [] p_0| -p_1| -p_2| -p_3| -p_4| -p_5| -p_6| -p_7| -p_8| -p_9| -p_10.
% 1.90/2.08 0 [] p_1.
% 1.90/2.08 0 [] p_2.
% 1.90/2.08 0 [] p_3.
% 1.90/2.08 0 [] p_4.
% 1.90/2.08 0 [] p_5.
% 1.90/2.08 0 [] p_6.
% 1.90/2.08 0 [] p_7.
% 1.90/2.08 0 [] p_8.
% 1.90/2.08 0 [] p_9.
% 1.90/2.08 0 [] p_10.
% 1.90/2.08 end_of_list.
% 1.90/2.08
% 1.90/2.08 SCAN INPUT: prop=1, horn=1, equality=0, symmetry=0, max_lits=11.
% 1.90/2.08
% 1.90/2.08 The clause set is propositional; the strategy will be
% 1.90/2.08 ordered hyperresolution with the propositional
% 1.90/2.08 optimizations, with satellites in sos and nuclei in usable.
% 1.90/2.08
% 1.90/2.08 dependent: set(hyper_res).
% 1.90/2.08 dependent: set(propositional).
% 1.90/2.08 dependent: set(sort_literals).
% 1.90/2.08
% 1.90/2.08 ------------> process usable:
% 1.90/2.08 ** KEPT (pick-wt=1): 1 [] -p_0.
% 1.90/2.08 ** KEPT (pick-wt=11): 3 [copy,2,propositional] -p_1| -p_2| -p_3| -p_4| -p_5| -p_6| -p_7| -p_8| -p_9| -p_10|p_0.
% 1.90/2.08
% 1.90/2.08 ------------> process sos:
% 1.90/2.08 ** KEPT (pick-wt=1): 4 [] p_1.
% 1.90/2.08 ** KEPT (pick-wt=1): 5 [] p_2.
% 1.90/2.08 ** KEPT (pick-wt=1): 6 [] p_3.
% 1.90/2.08 ** KEPT (pick-wt=1): 7 [] p_4.
% 1.90/2.08 ** KEPT (pick-wt=1): 8 [] p_5.
% 1.90/2.08 ** KEPT (pick-wt=1): 9 [] p_6.
% 1.90/2.08 ** KEPT (pick-wt=1): 10 [] p_7.
% 1.90/2.08 ** KEPT (pick-wt=1): 11 [] p_8.
% 1.90/2.08 ** KEPT (pick-wt=1): 12 [] p_9.
% 1.90/2.08 ** KEPT (pick-wt=1): 13 [] p_10.
% 1.90/2.08
% 1.90/2.08 ======= end of input processing =======
% 1.90/2.08
% 1.90/2.08 =========== start of search ===========
% 1.90/2.08
% 1.90/2.08 -------- PROOF --------
% 1.90/2.08
% 1.90/2.08 ----> UNIT CONFLICT at 0.00 sec ----> 15 [binary,14.1,1.1] $F.
% 1.90/2.08
% 1.90/2.08 Length of proof is 2. Level of proof is 2.
% 1.90/2.08
% 1.90/2.08 ---------------- PROOF ----------------
% 1.90/2.08 % SZS status Unsatisfiable
% 1.90/2.08 % SZS output start Refutation
% See solution above
% 1.90/2.08 ------------ end of proof -------------
% 1.90/2.08
% 1.90/2.08
% 1.90/2.08 Search stopped by max_proofs option.
% 1.90/2.08
% 1.90/2.08
% 1.90/2.08 Search stopped by max_proofs option.
% 1.90/2.08
% 1.90/2.08 ============ end of search ============
% 1.90/2.08
% 1.90/2.08 -------------- statistics -------------
% 1.90/2.08 clauses given 10
% 1.90/2.08 clauses generated 1
% 1.90/2.08 clauses kept 13
% 1.90/2.08 clauses forward subsumed 0
% 1.90/2.08 clauses back subsumed 0
% 1.90/2.08 Kbytes malloced 976
% 1.90/2.08
% 1.90/2.08 ----------- times (seconds) -----------
% 1.90/2.08 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.90/2.08 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.90/2.08 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.90/2.08
% 1.90/2.08 That finishes the proof of the theorem.
% 1.90/2.08
% 1.90/2.08 Process 3844 finished Wed Jul 27 11:15:01 2022
% 1.90/2.08 Otter interrupted
% 1.90/2.08 PROOF FOUND
%------------------------------------------------------------------------------