TSTP Solution File: SYN056+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN056+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 13:23:25 EDT 2022
% Result : Theorem 1.68s 1.86s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 9 unt; 6 nHn; 22 RR)
% Number of literals : 41 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ big_p(A)
| big_q(dollar_c1) ),
file('SYN056+1.p',unknown),
[] ).
cnf(2,axiom,
( big_p(dollar_c2)
| ~ big_q(A) ),
file('SYN056+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ big_p(A)
| ~ big_q(B)
| ~ big_r(A)
| big_s(B) ),
file('SYN056+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ big_p(A)
| ~ big_q(B)
| big_r(A)
| ~ big_s(B) ),
file('SYN056+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ big_p(A)
| big_r(A)
| ~ big_q(B)
| big_s(B) ),
file('SYN056+1.p',unknown),
[] ).
cnf(6,axiom,
( big_p(dollar_c3)
| ~ big_s(dollar_c4) ),
file('SYN056+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ big_r(dollar_c3)
| big_q(dollar_c4) ),
file('SYN056+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ big_r(dollar_c3)
| ~ big_s(dollar_c4) ),
file('SYN056+1.p',unknown),
[] ).
cnf(9,axiom,
( big_p(dollar_c3)
| big_q(dollar_c4) ),
file('SYN056+1.p',unknown),
[] ).
cnf(10,plain,
( big_p(dollar_c3)
| big_p(dollar_c2) ),
inference(hyper,[status(thm)],[9,2]),
[iquote('hyper,9,2')] ).
cnf(11,plain,
( big_p(dollar_c2)
| big_q(dollar_c1) ),
inference(hyper,[status(thm)],[10,1]),
[iquote('hyper,10,1')] ).
cnf(15,plain,
big_p(dollar_c2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[11,2])]),
[iquote('hyper,11,2,factor_simp')] ).
cnf(16,plain,
big_q(dollar_c1),
inference(hyper,[status(thm)],[15,1]),
[iquote('hyper,15,1')] ).
cnf(17,plain,
( big_r(dollar_c2)
| big_s(dollar_c1) ),
inference(hyper,[status(thm)],[16,5,15]),
[iquote('hyper,16,5,15')] ).
cnf(19,plain,
big_r(dollar_c2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[17,4,15,16])]),
[iquote('hyper,17,4,15,16,factor_simp')] ).
cnf(20,plain,
big_s(dollar_c1),
inference(hyper,[status(thm)],[19,3,15,16]),
[iquote('hyper,19,3,15,16')] ).
cnf(21,plain,
( big_s(dollar_c4)
| big_p(dollar_c3) ),
inference(hyper,[status(thm)],[19,3,15,9]),
[iquote('hyper,19,3,15,9')] ).
cnf(22,plain,
big_p(dollar_c3),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[21,6])]),
[iquote('hyper,21,6,factor_simp')] ).
cnf(23,plain,
big_r(dollar_c3),
inference(hyper,[status(thm)],[22,4,16,20]),
[iquote('hyper,22,4,16,20')] ).
cnf(24,plain,
big_q(dollar_c4),
inference(hyper,[status(thm)],[23,7]),
[iquote('hyper,23,7')] ).
cnf(25,plain,
big_s(dollar_c4),
inference(hyper,[status(thm)],[24,3,22,23]),
[iquote('hyper,24,3,22,23')] ).
cnf(26,plain,
$false,
inference(hyper,[status(thm)],[25,8,23]),
[iquote('hyper,25,8,23')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN056+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 11:22:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.68/1.86 ----- Otter 3.3f, August 2004 -----
% 1.68/1.86 The process was started by sandbox2 on n029.cluster.edu,
% 1.68/1.86 Wed Jul 27 11:22:14 2022
% 1.68/1.86 The command was "./otter". The process ID is 12862.
% 1.68/1.86
% 1.68/1.86 set(prolog_style_variables).
% 1.68/1.86 set(auto).
% 1.68/1.86 dependent: set(auto1).
% 1.68/1.86 dependent: set(process_input).
% 1.68/1.86 dependent: clear(print_kept).
% 1.68/1.86 dependent: clear(print_new_demod).
% 1.68/1.86 dependent: clear(print_back_demod).
% 1.68/1.86 dependent: clear(print_back_sub).
% 1.68/1.86 dependent: set(control_memory).
% 1.68/1.86 dependent: assign(max_mem, 12000).
% 1.68/1.86 dependent: assign(pick_given_ratio, 4).
% 1.68/1.86 dependent: assign(stats_level, 1).
% 1.68/1.86 dependent: assign(max_seconds, 10800).
% 1.68/1.86 clear(print_given).
% 1.68/1.86
% 1.68/1.86 formula_list(usable).
% 1.68/1.86 (exists X big_p(X))<-> (exists Y big_q(Y)).
% 1.68/1.86 all X Y (big_p(X)&big_q(Y)-> (big_r(X)<->big_s(Y))).
% 1.68/1.86 -((all X (big_p(X)->big_r(X)))<-> (all Y (big_q(Y)->big_s(Y)))).
% 1.68/1.86 end_of_list.
% 1.68/1.86
% 1.68/1.86 -------> usable clausifies to:
% 1.68/1.86
% 1.68/1.86 list(usable).
% 1.68/1.86 0 [] -big_p(X)|big_q($c1).
% 1.68/1.86 0 [] big_p($c2)| -big_q(Y).
% 1.68/1.86 0 [] -big_p(X)| -big_q(Y)| -big_r(X)|big_s(Y).
% 1.68/1.86 0 [] -big_p(X)| -big_q(Y)|big_r(X)| -big_s(Y).
% 1.68/1.86 0 [] -big_p(X)|big_r(X)| -big_q(Y)|big_s(Y).
% 1.68/1.86 0 [] big_p($c3)|big_q($c4).
% 1.68/1.86 0 [] big_p($c3)| -big_s($c4).
% 1.68/1.86 0 [] -big_r($c3)|big_q($c4).
% 1.68/1.86 0 [] -big_r($c3)| -big_s($c4).
% 1.68/1.86 end_of_list.
% 1.68/1.86
% 1.68/1.86 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.68/1.86
% 1.68/1.86 This is a non-Horn set without equality. The strategy will
% 1.68/1.86 be ordered hyper_res, unit deletion, and factoring, with
% 1.68/1.86 satellites in sos and with nuclei in usable.
% 1.68/1.86
% 1.68/1.86 dependent: set(hyper_res).
% 1.68/1.86 dependent: set(factor).
% 1.68/1.86 dependent: set(unit_deletion).
% 1.68/1.86
% 1.68/1.86 ------------> process usable:
% 1.68/1.86 ** KEPT (pick-wt=4): 1 [] -big_p(A)|big_q($c1).
% 1.68/1.86 ** KEPT (pick-wt=4): 2 [] big_p($c2)| -big_q(A).
% 1.68/1.86 ** KEPT (pick-wt=8): 3 [] -big_p(A)| -big_q(B)| -big_r(A)|big_s(B).
% 1.68/1.86 ** KEPT (pick-wt=8): 4 [] -big_p(A)| -big_q(B)|big_r(A)| -big_s(B).
% 1.68/1.86 ** KEPT (pick-wt=8): 5 [] -big_p(A)|big_r(A)| -big_q(B)|big_s(B).
% 1.68/1.86 ** KEPT (pick-wt=4): 6 [] big_p($c3)| -big_s($c4).
% 1.68/1.86 ** KEPT (pick-wt=4): 7 [] -big_r($c3)|big_q($c4).
% 1.68/1.86 ** KEPT (pick-wt=4): 8 [] -big_r($c3)| -big_s($c4).
% 1.68/1.86
% 1.68/1.86 ------------> process sos:
% 1.68/1.86 ** KEPT (pick-wt=4): 9 [] big_p($c3)|big_q($c4).
% 1.68/1.86
% 1.68/1.86 ======= end of input processing =======
% 1.68/1.86
% 1.68/1.86 =========== start of search ===========
% 1.68/1.86
% 1.68/1.86 -------- PROOF --------
% 1.68/1.86
% 1.68/1.86 -----> EMPTY CLAUSE at 0.00 sec ----> 26 [hyper,25,8,23] $F.
% 1.68/1.86
% 1.68/1.86 Length of proof is 12. Level of proof is 11.
% 1.68/1.86
% 1.68/1.86 ---------------- PROOF ----------------
% 1.68/1.86 % SZS status Theorem
% 1.68/1.86 % SZS output start Refutation
% See solution above
% 1.68/1.87 ------------ end of proof -------------
% 1.68/1.87
% 1.68/1.87
% 1.68/1.87 Search stopped by max_proofs option.
% 1.68/1.87
% 1.68/1.87
% 1.68/1.87 Search stopped by max_proofs option.
% 1.68/1.87
% 1.68/1.87 ============ end of search ============
% 1.68/1.87
% 1.68/1.87 -------------- statistics -------------
% 1.68/1.87 clauses given 14
% 1.68/1.87 clauses generated 28
% 1.68/1.87 clauses kept 25
% 1.68/1.87 clauses forward subsumed 11
% 1.68/1.87 clauses back subsumed 13
% 1.68/1.87 Kbytes malloced 976
% 1.68/1.87
% 1.68/1.87 ----------- times (seconds) -----------
% 1.68/1.87 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.87 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.68/1.87
% 1.68/1.87 That finishes the proof of the theorem.
% 1.68/1.87
% 1.68/1.87 Process 12862 finished Wed Jul 27 11:22:16 2022
% 1.68/1.87 Otter interrupted
% 1.68/1.87 PROOF FOUND
%------------------------------------------------------------------------------