%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN936+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 13:25:31 EDT 2022
% Result : Theorem 1.74s 1.96s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 3 unt; 1 nHn; 3 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 4 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c
| p(A)
| p(B) ),
file('SYN936+1.p',unknown),
[] ).
cnf(2,plain,
( ~ c
| p(A) ),
inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,factor_simp')] ).
cnf(3,axiom,
( ~ p(dollar_c1)
| ~ p(dollar_c2) ),
file('SYN936+1.p',unknown),
[] ).
cnf(4,axiom,
c,
file('SYN936+1.p',unknown),
[] ).
cnf(5,plain,
p(A),
inference(hyper,[status(thm)],[4,2]),
[iquote('hyper,4,2')] ).
cnf(6,plain,
$false,
inference(hyper,[status(thm)],[5,3,5]),
[iquote('hyper,5,3,5')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN936+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Jul 27 11:13:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/1.96 ----- Otter 3.3f, August 2004 -----
% 1.74/1.96 The process was started by sandbox on n005.cluster.edu,
% 1.74/1.96 Wed Jul 27 11:13:05 2022
% 1.74/1.96 The command was "./otter". The process ID is 7965.
% 1.74/1.96
% 1.74/1.96 set(prolog_style_variables).
% 1.74/1.96 set(auto).
% 1.74/1.96 dependent: set(auto1).
% 1.74/1.96 dependent: set(process_input).
% 1.74/1.96 dependent: clear(print_kept).
% 1.74/1.96 dependent: clear(print_new_demod).
% 1.74/1.96 dependent: clear(print_back_demod).
% 1.74/1.96 dependent: clear(print_back_sub).
% 1.74/1.96 dependent: set(control_memory).
% 1.74/1.96 dependent: assign(max_mem, 12000).
% 1.74/1.96 dependent: assign(pick_given_ratio, 4).
% 1.74/1.96 dependent: assign(stats_level, 1).
% 1.74/1.96 dependent: assign(max_seconds, 10800).
% 1.74/1.96 clear(print_given).
% 1.74/1.96
% 1.74/1.96 formula_list(usable).
% 1.74/1.96 -((all X (c->p(X)))<-> (c-> (all X p(X)))).
% 1.74/1.96 end_of_list.
% 1.74/1.96
% 1.74/1.96 -------> usable clausifies to:
% 1.74/1.96
% 1.74/1.96 list(usable).
% 1.74/1.96 0 [] -c|p(X)|p(X1).
% 1.74/1.96 0 [] c.
% 1.74/1.96 0 [] -p($c1)| -p($c2).
% 1.74/1.96 end_of_list.
% 1.74/1.96
% 1.74/1.96 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.74/1.96
% 1.74/1.96 This is a non-Horn set without equality. The strategy will
% 1.74/1.96 be ordered hyper_res, unit deletion, and factoring, with
% 1.74/1.96 satellites in sos and with nuclei in usable.
% 1.74/1.96
% 1.74/1.96 dependent: set(hyper_res).
% 1.74/1.96 dependent: set(factor).
% 1.74/1.96 dependent: set(unit_deletion).
% 1.74/1.96
% 1.74/1.96 ------------> process usable:
% 1.74/1.96 ** KEPT (pick-wt=3): 2 [copy,1,factor_simp] -c|p(A).
% 1.74/1.96 ** KEPT (pick-wt=4): 3 [] -p($c1)| -p($c2).
% 1.74/1.96
% 1.74/1.96 ------------> process sos:
% 1.74/1.96 ** KEPT (pick-wt=1): 4 [] c.
% 1.74/1.96
% 1.74/1.96 ======= end of input processing =======
% 1.74/1.96
% 1.74/1.96 =========== start of search ===========
% 1.74/1.96
% 1.74/1.96 -------- PROOF --------
% 1.74/1.96
% 1.74/1.96 -----> EMPTY CLAUSE at 0.00 sec ----> 6 [hyper,5,3,5] $F.
% 1.74/1.96
% 1.74/1.96 Length of proof is 2. Level of proof is 2.
% 1.74/1.96
% 1.74/1.96 ---------------- PROOF ----------------
% 1.74/1.96 % SZS status Theorem
% 1.74/1.96 % SZS output start Refutation
% See solution above
% 1.74/1.96 ------------ end of proof -------------
% 1.74/1.96
% 1.74/1.96
% 1.74/1.96 Search stopped by max_proofs option.
% 1.74/1.96
% 1.74/1.96
% 1.74/1.96 Search stopped by max_proofs option.
% 1.74/1.96
% 1.74/1.96 ============ end of search ============
% 1.74/1.96
% 1.74/1.96 -------------- statistics -------------
% 1.74/1.96 clauses given 2
% 1.74/1.96 clauses generated 2
% 1.74/1.96 clauses kept 4
% 1.74/1.96 clauses forward subsumed 0
% 1.74/1.96 clauses back subsumed 1
% 1.74/1.96 Kbytes malloced 976
% 1.74/1.96
% 1.74/1.96 ----------- times (seconds) -----------
% 1.74/1.96 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.74/1.96 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.74/1.96 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.74/1.96
% 1.74/1.96 That finishes the proof of the theorem.
% 1.74/1.96
% 1.74/1.96 Process 7965 finished Wed Jul 27 11:13:07 2022
% 1.74/1.96 Otter interrupted
% 1.74/1.96 PROOF FOUND
%------------------------------------------------------------------------------