%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRA001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 12:55:40 EDT 2022
% Result : Unsatisfiable 1.94s 2.12s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 3 unt; 21 nHn; 30 RR)
% Number of literals : 71 ( 0 equ; 21 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ a
| ~ b ),
file('GRA001-1.p',unknown),
[] ).
cnf(2,axiom,
( a
| c
| ~ d ),
file('GRA001-1.p',unknown),
[] ).
cnf(3,plain,
( ~ d
| a
| c ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,propositional')] ).
cnf(4,axiom,
( a
| ~ c
| d ),
file('GRA001-1.p',unknown),
[] ).
cnf(5,plain,
( ~ c
| a
| d ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[4])]),
[iquote('copy,4,propositional')] ).
cnf(6,axiom,
( ~ a
| c
| d ),
file('GRA001-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ a
| ~ c
| ~ d ),
file('GRA001-1.p',unknown),
[] ).
cnf(8,axiom,
( b
| c
| ~ e ),
file('GRA001-1.p',unknown),
[] ).
cnf(9,plain,
( ~ e
| b
| c ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[8])]),
[iquote('copy,8,propositional')] ).
cnf(10,axiom,
( b
| ~ c
| e ),
file('GRA001-1.p',unknown),
[] ).
cnf(11,plain,
( ~ c
| b
| e ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[10])]),
[iquote('copy,10,propositional')] ).
cnf(12,axiom,
( ~ b
| c
| e ),
file('GRA001-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ b
| ~ c
| ~ e ),
file('GRA001-1.p',unknown),
[] ).
cnf(14,axiom,
( d
| ~ e ),
file('GRA001-1.p',unknown),
[] ).
cnf(15,plain,
( ~ e
| d ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[14])]),
[iquote('copy,14,propositional')] ).
cnf(16,axiom,
( ~ d
| e ),
file('GRA001-1.p',unknown),
[] ).
cnf(17,axiom,
( a
| b ),
file('GRA001-1.p',unknown),
[] ).
cnf(18,plain,
( a
| c
| e ),
inference(hyper,[status(thm)],[17,12]),
[iquote('hyper,17,12')] ).
cnf(19,plain,
( a
| c
| d ),
inference(hyper,[status(thm)],[18,15]),
[iquote('hyper,18,15')] ).
cnf(20,plain,
( a
| c ),
inference(hyper,[status(thm)],[19,3]),
[iquote('hyper,19,3')] ).
cnf(21,plain,
( a
| d ),
inference(hyper,[status(thm)],[20,5]),
[iquote('hyper,20,5')] ).
cnf(22,plain,
( a
| e ),
inference(hyper,[status(thm)],[21,16]),
[iquote('hyper,21,16')] ).
cnf(23,plain,
a,
inference(hyper,[status(thm)],[22,13,17,20]),
[iquote('hyper,22,13,17,20')] ).
cnf(24,plain,
( c
| d ),
inference(hyper,[status(thm)],[23,6]),
[iquote('hyper,23,6')] ).
cnf(25,plain,
( c
| e ),
inference(hyper,[status(thm)],[24,16]),
[iquote('hyper,24,16')] ).
cnf(26,plain,
( b
| c ),
inference(hyper,[status(thm)],[25,9]),
[iquote('hyper,25,9')] ).
cnf(27,plain,
( b
| e ),
inference(hyper,[status(thm)],[26,11]),
[iquote('hyper,26,11')] ).
cnf(28,plain,
( b
| d ),
inference(hyper,[status(thm)],[27,15]),
[iquote('hyper,27,15')] ).
cnf(29,plain,
b,
inference(hyper,[status(thm)],[28,7,23,26]),
[iquote('hyper,28,7,23,26')] ).
cnf(30,plain,
$false,
inference(hyper,[status(thm)],[29,1,23]),
[iquote('hyper,29,1,23')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRA001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n015.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 02:31:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.94/2.12 ----- Otter 3.3f, August 2004 -----
% 1.94/2.12 The process was started by sandbox2 on n015.cluster.edu,
% 1.94/2.12 Wed Jul 27 02:31:41 2022
% 1.94/2.12 The command was "./otter". The process ID is 31542.
% 1.94/2.12
% 1.94/2.12 set(prolog_style_variables).
% 1.94/2.12 set(auto).
% 1.94/2.12 dependent: set(auto1).
% 1.94/2.12 dependent: set(process_input).
% 1.94/2.12 dependent: clear(print_kept).
% 1.94/2.12 dependent: clear(print_new_demod).
% 1.94/2.12 dependent: clear(print_back_demod).
% 1.94/2.12 dependent: clear(print_back_sub).
% 1.94/2.12 dependent: set(control_memory).
% 1.94/2.12 dependent: assign(max_mem, 12000).
% 1.94/2.12 dependent: assign(pick_given_ratio, 4).
% 1.94/2.12 dependent: assign(stats_level, 1).
% 1.94/2.12 dependent: assign(max_seconds, 10800).
% 1.94/2.12 clear(print_given).
% 1.94/2.12
% 1.94/2.12 list(usable).
% 1.94/2.12 0 [] a|b.
% 1.94/2.12 0 [] -a| -b.
% 1.94/2.12 0 [] a|c| -d.
% 1.94/2.12 0 [] a| -c|d.
% 1.94/2.12 0 [] -a|c|d.
% 1.94/2.12 0 [] -a| -c| -d.
% 1.94/2.12 0 [] b|c| -e.
% 1.94/2.12 0 [] b| -c|e.
% 1.94/2.12 0 [] -b|c|e.
% 1.94/2.12 0 [] -b| -c| -e.
% 1.94/2.12 0 [] d| -e.
% 1.94/2.12 0 [] -d|e.
% 1.94/2.12 end_of_list.
% 1.94/2.12
% 1.94/2.12 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.94/2.12
% 1.94/2.12 The clause set is propositional; the strategy will be
% 1.94/2.12 ordered hyperresolution with the propositional
% 1.94/2.12 optimizations, with satellites in sos and nuclei in usable.
% 1.94/2.12
% 1.94/2.12 dependent: set(hyper_res).
% 1.94/2.12 dependent: set(propositional).
% 1.94/2.12 dependent: set(sort_literals).
% 1.94/2.12
% 1.94/2.12 ------------> process usable:
% 1.94/2.12 ** KEPT (pick-wt=2): 1 [] -a| -b.
% 1.94/2.12 ** KEPT (pick-wt=3): 3 [copy,2,propositional] -d|a|c.
% 1.94/2.12 ** KEPT (pick-wt=3): 5 [copy,4,propositional] -c|a|d.
% 1.94/2.12 ** KEPT (pick-wt=3): 6 [] -a|c|d.
% 1.94/2.12 ** KEPT (pick-wt=3): 7 [] -a| -c| -d.
% 1.94/2.12 ** KEPT (pick-wt=3): 9 [copy,8,propositional] -e|b|c.
% 1.94/2.12 ** KEPT (pick-wt=3): 11 [copy,10,propositional] -c|b|e.
% 1.94/2.12 ** KEPT (pick-wt=3): 12 [] -b|c|e.
% 1.94/2.12 ** KEPT (pick-wt=3): 13 [] -b| -c| -e.
% 1.94/2.12 ** KEPT (pick-wt=2): 15 [copy,14,propositional] -e|d.
% 1.94/2.12 ** KEPT (pick-wt=2): 16 [] -d|e.
% 1.94/2.12
% 1.94/2.12 ------------> process sos:
% 1.94/2.12 ** KEPT (pick-wt=2): 17 [] a|b.
% 1.94/2.12
% 1.94/2.12 ======= end of input processing =======
% 1.94/2.12
% 1.94/2.12 =========== start of search ===========
% 1.94/2.12
% 1.94/2.12 -------- PROOF --------
% 1.94/2.12
% 1.94/2.12 -----> EMPTY CLAUSE at 0.00 sec ----> 30 [hyper,29,1,23] $F.
% 1.94/2.12
% 1.94/2.12 Length of proof is 17. Level of proof is 12.
% 1.94/2.12
% 1.94/2.12 ---------------- PROOF ----------------
% 1.94/2.12 % SZS status Unsatisfiable
% 1.94/2.12 % SZS output start Refutation
% See solution above
% 1.94/2.12 ------------ end of proof -------------
% 1.94/2.12
% 1.94/2.12
% 1.94/2.12 Search stopped by max_proofs option.
% 1.94/2.12
% 1.94/2.12
% 1.94/2.12 Search stopped by max_proofs option.
% 1.94/2.12
% 1.94/2.12 ============ end of search ============
% 1.94/2.12
% 1.94/2.12 -------------- statistics -------------
% 1.94/2.12 clauses given 13
% 1.94/2.12 clauses generated 21
% 1.94/2.12 clauses kept 24
% 1.94/2.12 clauses forward subsumed 8
% 1.94/2.12 clauses back subsumed 15
% 1.94/2.12 Kbytes malloced 976
% 1.94/2.12
% 1.94/2.12 ----------- times (seconds) -----------
% 1.94/2.12 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.12 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.12 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.94/2.12
% 1.94/2.12 That finishes the proof of the theorem.
% 1.94/2.12
% 1.94/2.12 Process 31542 finished Wed Jul 27 02:31:43 2022
% 1.94/2.12 Otter interrupted
% 1.94/2.12 PROOF FOUND
%------------------------------------------------------------------------------