%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN724+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.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 13:25:11 EDT 2022
% Result : Theorem 1.64s 1.85s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 5 unt; 3 nHn; 12 RR)
% Number of literals : 23 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ r(A)
| s(A)
| s(B)
| ~ r(B) ),
file('SYN724+1.p',unknown),
[] ).
cnf(2,plain,
( ~ r(A)
| s(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[1])])]),
[iquote('copy,1,factor_simp,factor_simp')] ).
cnf(3,axiom,
( r(dollar_c1)
| ~ r(dollar_c2)
| ~ s(dollar_c2) ),
file('SYN724+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ s(dollar_c1)
| r(dollar_c2) ),
file('SYN724+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ s(dollar_c1)
| ~ r(dollar_c2)
| ~ s(dollar_c2) ),
file('SYN724+1.p',unknown),
[] ).
cnf(6,axiom,
( r(dollar_c1)
| r(dollar_c2) ),
file('SYN724+1.p',unknown),
[] ).
cnf(7,plain,
( r(dollar_c2)
| s(dollar_c1) ),
inference(hyper,[status(thm)],[6,2]),
[iquote('hyper,6,2')] ).
cnf(9,plain,
r(dollar_c2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[7,4])]),
[iquote('hyper,7,4,factor_simp')] ).
cnf(10,plain,
s(dollar_c2),
inference(hyper,[status(thm)],[9,2]),
[iquote('hyper,9,2')] ).
cnf(11,plain,
r(dollar_c1),
inference(hyper,[status(thm)],[10,3,9]),
[iquote('hyper,10,3,9')] ).
cnf(12,plain,
s(dollar_c1),
inference(hyper,[status(thm)],[11,2]),
[iquote('hyper,11,2')] ).
cnf(13,plain,
$false,
inference(hyper,[status(thm)],[12,5,9,10]),
[iquote('hyper,12,5,9,10')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN724+1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 10:41:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.64/1.85 ----- Otter 3.3f, August 2004 -----
% 1.64/1.85 The process was started by sandbox on n017.cluster.edu,
% 1.64/1.85 Wed Jul 27 10:41:03 2022
% 1.64/1.85 The command was "./otter". The process ID is 26163.
% 1.64/1.85
% 1.64/1.85 set(prolog_style_variables).
% 1.64/1.85 set(auto).
% 1.64/1.85 dependent: set(auto1).
% 1.64/1.85 dependent: set(process_input).
% 1.64/1.85 dependent: clear(print_kept).
% 1.64/1.85 dependent: clear(print_new_demod).
% 1.64/1.85 dependent: clear(print_back_demod).
% 1.64/1.85 dependent: clear(print_back_sub).
% 1.64/1.85 dependent: set(control_memory).
% 1.64/1.85 dependent: assign(max_mem, 12000).
% 1.64/1.85 dependent: assign(pick_given_ratio, 4).
% 1.64/1.85 dependent: assign(stats_level, 1).
% 1.64/1.85 dependent: assign(max_seconds, 10800).
% 1.64/1.85 clear(print_given).
% 1.64/1.85
% 1.64/1.85 formula_list(usable).
% 1.64/1.85 -((all X (r(X)->s(X)))<-> (all X (r(X)&s(X)<->r(X)))).
% 1.64/1.85 end_of_list.
% 1.64/1.85
% 1.64/1.85 -------> usable clausifies to:
% 1.64/1.85
% 1.64/1.85 list(usable).
% 1.64/1.85 0 [] -r(X)|s(X)|s(X1)| -r(X1).
% 1.64/1.85 0 [] r($c1)|r($c2).
% 1.64/1.85 0 [] r($c1)| -r($c2)| -s($c2).
% 1.64/1.85 0 [] -s($c1)|r($c2).
% 1.64/1.85 0 [] -s($c1)| -r($c2)| -s($c2).
% 1.64/1.85 end_of_list.
% 1.64/1.85
% 1.64/1.85 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.64/1.85
% 1.64/1.85 This is a non-Horn set without equality. The strategy will
% 1.64/1.85 be ordered hyper_res, unit deletion, and factoring, with
% 1.64/1.85 satellites in sos and with nuclei in usable.
% 1.64/1.85
% 1.64/1.85 dependent: set(hyper_res).
% 1.64/1.85 dependent: set(factor).
% 1.64/1.85 dependent: set(unit_deletion).
% 1.64/1.85
% 1.64/1.85 ------------> process usable:
% 1.64/1.85 ** KEPT (pick-wt=4): 2 [copy,1,factor_simp,factor_simp] -r(A)|s(A).
% 1.64/1.85 ** KEPT (pick-wt=6): 3 [] r($c1)| -r($c2)| -s($c2).
% 1.64/1.85 ** KEPT (pick-wt=4): 4 [] -s($c1)|r($c2).
% 1.64/1.85 ** KEPT (pick-wt=6): 5 [] -s($c1)| -r($c2)| -s($c2).
% 1.64/1.85
% 1.64/1.85 ------------> process sos:
% 1.64/1.85 ** KEPT (pick-wt=4): 6 [] r($c1)|r($c2).
% 1.64/1.85
% 1.64/1.85 ======= end of input processing =======
% 1.64/1.85
% 1.64/1.85 =========== start of search ===========
% 1.64/1.85
% 1.64/1.85 -------- PROOF --------
% 1.64/1.85
% 1.64/1.85 -----> EMPTY CLAUSE at 0.00 sec ----> 13 [hyper,12,5,9,10] $F.
% 1.64/1.85
% 1.64/1.85 Length of proof is 6. Level of proof is 6.
% 1.64/1.85
% 1.64/1.85 ---------------- PROOF ----------------
% 1.64/1.85 % SZS status Theorem
% 1.64/1.85 % SZS output start Refutation
% See solution above
% 1.64/1.85 ------------ end of proof -------------
% 1.64/1.85
% 1.64/1.85
% 1.64/1.85 Search stopped by max_proofs option.
% 1.64/1.85
% 1.64/1.85
% 1.64/1.85 Search stopped by max_proofs option.
% 1.64/1.85
% 1.64/1.85 ============ end of search ============
% 1.64/1.85
% 1.64/1.85 -------------- statistics -------------
% 1.64/1.85 clauses given 6
% 1.64/1.85 clauses generated 7
% 1.64/1.85 clauses kept 11
% 1.64/1.85 clauses forward subsumed 0
% 1.64/1.85 clauses back subsumed 5
% 1.64/1.85 Kbytes malloced 976
% 1.64/1.85
% 1.64/1.85 ----------- times (seconds) -----------
% 1.64/1.85 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.64/1.85 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.64/1.85 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.64/1.85
% 1.64/1.85 That finishes the proof of the theorem.
% 1.64/1.85
% 1.64/1.85 Process 26163 finished Wed Jul 27 10:41:04 2022
% 1.64/1.85 Otter interrupted
% 1.64/1.85 PROOF FOUND
%------------------------------------------------------------------------------