TSTP Solution File: SYN575-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:24:56 EDT 2022
% Result : Unsatisfiable 1.74s 1.95s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 17 ( 11 unt; 2 nHn; 12 RR)
% Number of literals : 32 ( 0 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( p9(A,f6(c14))
| ~ p9(A,c13) ),
file('SYN575-1.p',unknown),
[] ).
cnf(8,axiom,
( p3(A,B)
| ~ p3(C,A)
| ~ p3(C,B) ),
file('SYN575-1.p',unknown),
[] ).
cnf(11,axiom,
( p9(A,B)
| ~ p7(C,A)
| ~ p9(C,D)
| ~ p3(D,B) ),
file('SYN575-1.p',unknown),
[] ).
cnf(13,axiom,
( p9(f8(A,B),A)
| p9(f8(A,B),f6(B))
| ~ p11(C,c15)
| ~ p9(c12,A)
| ~ p2(B,f5(C)) ),
file('SYN575-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ p11(A,c15)
| ~ p9(c12,B)
| ~ p2(C,f5(A))
| ~ p9(f8(B,C),B)
| ~ p9(f8(B,C),f6(C)) ),
file('SYN575-1.p',unknown),
[] ).
cnf(22,axiom,
p7(A,A),
file('SYN575-1.p',unknown),
[] ).
cnf(23,axiom,
p3(A,A),
file('SYN575-1.p',unknown),
[] ).
cnf(24,axiom,
p2(A,A),
file('SYN575-1.p',unknown),
[] ).
cnf(25,axiom,
p9(c12,c13),
file('SYN575-1.p',unknown),
[] ).
cnf(26,axiom,
p11(c14,c15),
file('SYN575-1.p',unknown),
[] ).
cnf(28,axiom,
p3(f6(f5(A)),f6(A)),
file('SYN575-1.p',unknown),
[] ).
cnf(29,plain,
p9(c12,f6(c14)),
inference(hyper,[status(thm)],[25,2]),
[iquote('hyper,25,2')] ).
cnf(31,plain,
( p9(f8(f6(c14),f5(c14)),f6(c14))
| p9(f8(f6(c14),f5(c14)),f6(f5(c14))) ),
inference(hyper,[status(thm)],[29,13,26,24]),
[iquote('hyper,29,13,26,24')] ).
cnf(35,plain,
p3(f6(A),f6(f5(A))),
inference(hyper,[status(thm)],[28,8,23]),
[iquote('hyper,28,8,23')] ).
cnf(53,plain,
p9(f8(f6(c14),f5(c14)),f6(f5(c14))),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[31,11,22,35])]),
[iquote('hyper,31,11,22,35,factor_simp')] ).
cnf(55,plain,
p9(f8(f6(c14),f5(c14)),f6(c14)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[31,11,22,28])]),
[iquote('hyper,31,11,22,28,factor_simp')] ).
cnf(88,plain,
$false,
inference(hyper,[status(thm)],[53,14,26,29,24,55]),
[iquote('hyper,53,14,26,29,24,55')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 11:16:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.74/1.95 ----- Otter 3.3f, August 2004 -----
% 1.74/1.95 The process was started by sandbox2 on n019.cluster.edu,
% 1.74/1.95 Wed Jul 27 11:16:52 2022
% 1.74/1.95 The command was "./otter". The process ID is 6441.
% 1.74/1.95
% 1.74/1.95 set(prolog_style_variables).
% 1.74/1.95 set(auto).
% 1.74/1.95 dependent: set(auto1).
% 1.74/1.95 dependent: set(process_input).
% 1.74/1.95 dependent: clear(print_kept).
% 1.74/1.95 dependent: clear(print_new_demod).
% 1.74/1.95 dependent: clear(print_back_demod).
% 1.74/1.95 dependent: clear(print_back_sub).
% 1.74/1.95 dependent: set(control_memory).
% 1.74/1.95 dependent: assign(max_mem, 12000).
% 1.74/1.95 dependent: assign(pick_given_ratio, 4).
% 1.74/1.95 dependent: assign(stats_level, 1).
% 1.74/1.95 dependent: assign(max_seconds, 10800).
% 1.74/1.95 clear(print_given).
% 1.74/1.95
% 1.74/1.95 list(usable).
% 1.74/1.95 0 [] p10(X0,X0).
% 1.74/1.95 0 [] p7(X21,X21).
% 1.74/1.95 0 [] p3(X12,X12).
% 1.74/1.95 0 [] p2(X7,X7).
% 1.74/1.95 0 [] p9(c12,c13).
% 1.74/1.95 0 [] p11(c14,c15).
% 1.74/1.95 0 [] p3(f4(f5(X17)),f4(X17)).
% 1.74/1.95 0 [] p3(f6(f5(X20)),f6(X20)).
% 1.74/1.95 0 [] p9(X32,c13)| -p9(X32,f6(c14)).
% 1.74/1.95 0 [] p9(X32,f6(c14))| -p9(X32,c13).
% 1.74/1.95 0 [] p2(f5(X10),f5(X11))| -p2(X10,X11).
% 1.74/1.95 0 [] p3(f6(X18),f6(X19))| -p2(X18,X19).
% 1.74/1.95 0 [] p3(f4(X15),f4(X16))| -p2(X15,X16).
% 1.74/1.95 0 [] p10(X1,X2)| -p10(X0,X1)| -p10(X0,X2).
% 1.74/1.95 0 [] p7(X22,X23)| -p7(X21,X22)| -p7(X21,X23).
% 1.74/1.95 0 [] p3(X13,X14)| -p3(X12,X13)| -p3(X12,X14).
% 1.74/1.95 0 [] p2(X8,X9)| -p2(X7,X8)| -p2(X7,X9).
% 1.74/1.95 0 [] p11(X3,X4)| -p11(X6,X5)| -p2(X6,X3)| -p10(X5,X4).
% 1.74/1.95 0 [] p9(X28,X29)| -p7(X31,X28)| -p9(X31,X30)| -p3(X30,X29).
% 1.74/1.95 0 [] p7(f8(X24,X25),f8(X26,X27))| -p2(X25,X27)| -p3(X24,X26).
% 1.74/1.95 0 [] p9(f8(X33,X34),X33)|p9(f8(X33,X34),f6(X34))| -p11(X35,c15)| -p9(c12,X33)| -p2(X34,f5(X35)).
% 1.74/1.95 0 [] -p11(X35,c15)| -p9(c12,X33)| -p2(X34,f5(X35))| -p9(f8(X33,X34),X33)| -p9(f8(X33,X34),f6(X34)).
% 1.74/1.95 end_of_list.
% 1.74/1.95
% 1.74/1.95 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 1.74/1.95
% 1.74/1.95 This is a non-Horn set without equality. The strategy will
% 1.74/1.95 be ordered hyper_res, unit deletion, and factoring, with
% 1.74/1.95 satellites in sos and with nuclei in usable.
% 1.74/1.95
% 1.74/1.95 dependent: set(hyper_res).
% 1.74/1.95 dependent: set(factor).
% 1.74/1.95 dependent: set(unit_deletion).
% 1.74/1.95
% 1.74/1.95 ------------> process usable:
% 1.74/1.95 ** KEPT (pick-wt=7): 1 [] p9(A,c13)| -p9(A,f6(c14)).
% 1.74/1.95 ** KEPT (pick-wt=7): 2 [] p9(A,f6(c14))| -p9(A,c13).
% 1.74/1.95 ** KEPT (pick-wt=8): 3 [] p2(f5(A),f5(B))| -p2(A,B).
% 1.74/1.95 ** KEPT (pick-wt=8): 4 [] p3(f6(A),f6(B))| -p2(A,B).
% 1.74/1.95 ** KEPT (pick-wt=8): 5 [] p3(f4(A),f4(B))| -p2(A,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 6 [] p10(A,B)| -p10(C,A)| -p10(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 7 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 8 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 9 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.74/1.95 ** KEPT (pick-wt=12): 10 [] p11(A,B)| -p11(C,D)| -p2(C,A)| -p10(D,B).
% 1.74/1.95 ** KEPT (pick-wt=12): 11 [] p9(A,B)| -p7(C,A)| -p9(C,D)| -p3(D,B).
% 1.74/1.95 ** KEPT (pick-wt=13): 12 [] p7(f8(A,B),f8(C,D))| -p2(B,D)| -p3(A,C).
% 1.74/1.95 ** KEPT (pick-wt=21): 13 [] p9(f8(A,B),A)|p9(f8(A,B),f6(B))| -p11(C,c15)| -p9(c12,A)| -p2(B,f5(C)).
% 1.74/1.95 ** KEPT (pick-wt=21): 14 [] -p11(A,c15)| -p9(c12,B)| -p2(C,f5(A))| -p9(f8(B,C),B)| -p9(f8(B,C),f6(C)).
% 1.74/1.95
% 1.74/1.95 ------------> process sos:
% 1.74/1.95 ** KEPT (pick-wt=3): 21 [] p10(A,A).
% 1.74/1.95 ** KEPT (pick-wt=3): 22 [] p7(A,A).
% 1.74/1.95 ** KEPT (pick-wt=3): 23 [] p3(A,A).
% 1.74/1.95 ** KEPT (pick-wt=3): 24 [] p2(A,A).
% 1.74/1.95 ** KEPT (pick-wt=3): 25 [] p9(c12,c13).
% 1.74/1.95 ** KEPT (pick-wt=3): 26 [] p11(c14,c15).
% 1.74/1.95 ** KEPT (pick-wt=6): 27 [] p3(f4(f5(A)),f4(A)).
% 1.74/1.95 ** KEPT (pick-wt=6): 28 [] p3(f6(f5(A)),f6(A)).
% 1.74/1.95 21 back subsumes 15.
% 1.74/1.95 22 back subsumes 16.
% 1.74/1.95 23 back subsumes 17.
% 1.74/1.95 24 back subsumes 18.
% 1.74/1.95
% 1.74/1.95 ======= end of input processing =======
% 1.74/1.95
% 1.74/1.95 =========== start of search ===========
% 1.74/1.95
% 1.74/1.95 -------- PROOF --------
% 1.74/1.95
% 1.74/1.95 -----> EMPTY CLAUSE at 0.00 sec ----> 88 [hyper,53,14,26,29,24,55] $F.
% 1.74/1.95
% 1.74/1.95 Length of proof is 5. Level of proof is 3.
% 1.74/1.95
% 1.74/1.95 ---------------- PROOF ----------------
% 1.74/1.95 % SZS status Unsatisfiable
% 1.74/1.95 % SZS output start Refutation
% See solution above
% 1.74/1.95 ------------ end of proof -------------
% 1.74/1.95
% 1.74/1.95
% 1.74/1.95 Search stopped by max_proofs option.
% 1.74/1.95
% 1.74/1.95
% 1.74/1.95 Search stopped by max_proofs option.
% 1.74/1.95
% 1.74/1.95 ============ end of search ============
% 1.74/1.95
% 1.74/1.95 -------------- statistics -------------
% 1.74/1.95 clauses given 30
% 1.74/1.95 clauses generated 211
% 1.74/1.95 clauses kept 87
% 1.74/1.95 clauses forward subsumed 145
% 1.74/1.95 clauses back subsumed 6
% 1.74/1.95 Kbytes malloced 976
% 1.74/1.95
% 1.74/1.95 ----------- times (seconds) -----------
% 1.74/1.95 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.74/1.95 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.74/1.95 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.74/1.95
% 1.74/1.95 That finishes the proof of the theorem.
% 1.74/1.95
% 1.74/1.95 Process 6441 finished Wed Jul 27 11:16:53 2022
% 1.74/1.95 Otter interrupted
% 1.74/1.95 PROOF FOUND
%------------------------------------------------------------------------------