TSTP Solution File: SYO617-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYO617-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 13:26:25 EDT 2022
% Result : Unsatisfiable 109.06s 109.31s
% Output : Refutation 109.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of clauses : 42 ( 30 unt; 7 nHn; 6 RR)
% Number of literals : 65 ( 0 equ; 11 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 178 ( 128 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ le(max(A,B),C)
| le(A,C) ),
file('SYO617-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ le(max(A,B),C)
| le(B,C) ),
file('SYO617-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ e_q(f(A),a0)
| ~ e_q(f(B),a0)
| ~ le(s(A),B) ),
file('SYO617-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ e_q(f(A),a1)
| ~ e_q(f(B),a1)
| ~ le(s(A),B) ),
file('SYO617-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ e_q(f(A),a2)
| ~ e_q(f(B),a2)
| ~ le(s(A),B) ),
file('SYO617-1.p',unknown),
[] ).
cnf(9,axiom,
le(A,A),
file('SYO617-1.p',unknown),
[] ).
cnf(10,axiom,
( e_q(f(A),a0)
| e_q(f(A),a1)
| e_q(f(A),a2) ),
file('SYO617-1.p',unknown),
[] ).
cnf(11,plain,
le(A,max(B,A)),
inference(hyper,[status(thm)],[9,2]),
[iquote('hyper,9,2')] ).
cnf(12,plain,
le(A,max(A,B)),
inference(hyper,[status(thm)],[9,1]),
[iquote('hyper,9,1')] ).
cnf(13,plain,
le(A,max(B,max(C,A))),
inference(hyper,[status(thm)],[11,2]),
[iquote('hyper,11,2')] ).
cnf(14,plain,
le(A,max(B,max(A,C))),
inference(hyper,[status(thm)],[11,1]),
[iquote('hyper,11,1')] ).
cnf(16,plain,
le(A,max(max(A,B),C)),
inference(hyper,[status(thm)],[12,1]),
[iquote('hyper,12,1')] ).
cnf(17,plain,
le(A,max(B,max(C,max(D,A)))),
inference(hyper,[status(thm)],[13,2]),
[iquote('hyper,13,2')] ).
cnf(18,plain,
le(A,max(B,max(C,max(A,D)))),
inference(hyper,[status(thm)],[13,1]),
[iquote('hyper,13,1')] ).
cnf(20,plain,
le(A,max(B,max(max(A,C),D))),
inference(hyper,[status(thm)],[14,1]),
[iquote('hyper,14,1')] ).
cnf(21,plain,
( e_q(f(max(A,max(s(B),C))),a1)
| e_q(f(max(A,max(s(B),C))),a2)
| e_q(f(B),a1)
| e_q(f(B),a2) ),
inference(hyper,[status(thm)],[10,3,10,14]),
[iquote('hyper,10,3,10,14')] ).
cnf(44,plain,
le(A,max(max(max(B,A),C),D)),
inference(hyper,[status(thm)],[16,2]),
[iquote('hyper,16,2')] ).
cnf(45,plain,
le(A,max(max(max(A,B),C),D)),
inference(hyper,[status(thm)],[16,1]),
[iquote('hyper,16,1')] ).
cnf(49,plain,
le(A,max(B,max(C,max(D,max(E,A))))),
inference(hyper,[status(thm)],[17,2]),
[iquote('hyper,17,2')] ).
cnf(55,plain,
le(A,max(B,max(C,max(max(A,D),E)))),
inference(hyper,[status(thm)],[18,1]),
[iquote('hyper,18,1')] ).
cnf(65,plain,
le(A,max(B,max(max(max(A,C),D),E))),
inference(hyper,[status(thm)],[20,1]),
[iquote('hyper,20,1')] ).
cnf(90,plain,
( e_q(f(max(max(max(A,s(max(B,max(s(C),D)))),E),max(s(F),G))),a2)
| e_q(f(F),a1)
| e_q(f(F),a2)
| e_q(f(max(B,max(s(C),D))),a2)
| e_q(f(C),a1)
| e_q(f(C),a2) ),
inference(hyper,[status(thm)],[21,4,21,44]),
[iquote('hyper,21,4,21,44')] ).
cnf(331,plain,
le(A,max(max(max(max(A,B),C),D),E)),
inference(hyper,[status(thm)],[45,1]),
[iquote('hyper,45,1')] ).
cnf(355,plain,
le(A,max(B,max(C,max(D,max(E,max(F,A)))))),
inference(hyper,[status(thm)],[49,2]),
[iquote('hyper,49,2')] ).
cnf(1133,plain,
le(A,max(B,max(C,max(max(max(A,D),E),F)))),
inference(hyper,[status(thm)],[55,1]),
[iquote('hyper,55,1')] ).
cnf(2725,plain,
le(A,max(B,max(max(max(max(A,C),D),E),F))),
inference(hyper,[status(thm)],[65,1]),
[iquote('hyper,65,1')] ).
cnf(4898,plain,
le(A,max(max(max(max(max(A,B),C),D),E),F)),
inference(hyper,[status(thm)],[331,1]),
[iquote('hyper,331,1')] ).
cnf(4899,plain,
le(A,max(B,max(C,max(D,max(E,max(F,max(G,A))))))),
inference(hyper,[status(thm)],[355,2]),
[iquote('hyper,355,2')] ).
cnf(4966,plain,
le(A,max(B,max(C,max(max(max(max(A,D),E),F),G)))),
inference(hyper,[status(thm)],[1133,1]),
[iquote('hyper,1133,1')] ).
cnf(5046,plain,
le(A,max(B,max(max(max(max(max(A,C),D),E),F),G))),
inference(hyper,[status(thm)],[2725,1]),
[iquote('hyper,2725,1')] ).
cnf(5160,plain,
le(A,max(max(max(max(max(max(A,B),C),D),E),F),G)),
inference(hyper,[status(thm)],[4898,1]),
[iquote('hyper,4898,1')] ).
cnf(5161,plain,
le(A,max(B,max(C,max(D,max(E,max(F,max(G,max(H,A)))))))),
inference(hyper,[status(thm)],[4899,2]),
[iquote('hyper,4899,2')] ).
cnf(5216,plain,
le(A,max(B,max(C,max(max(max(max(max(A,D),E),F),G),H)))),
inference(hyper,[status(thm)],[4966,1]),
[iquote('hyper,4966,1')] ).
cnf(5266,plain,
le(A,max(B,max(max(max(max(max(max(A,C),D),E),F),G),H))),
inference(hyper,[status(thm)],[5046,1]),
[iquote('hyper,5046,1')] ).
cnf(5340,plain,
le(A,max(max(max(max(max(max(max(A,B),C),D),E),F),G),H)),
inference(hyper,[status(thm)],[5160,1]),
[iquote('hyper,5160,1')] ).
cnf(5341,plain,
le(A,max(B,max(C,max(D,max(E,max(F,max(G,max(H,max(I,A))))))))),
inference(hyper,[status(thm)],[5161,2]),
[iquote('hyper,5161,2')] ).
cnf(5474,plain,
( e_q(f(A),a1)
| e_q(f(A),a2)
| e_q(f(max(B,max(s(A),C))),a2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[90,5,90,5216])])])])])])])]),
[iquote('hyper,90,5,90,5216,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(5615,plain,
( e_q(f(A),a1)
| e_q(f(A),a2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5474,5,5474,5340])])]),
[iquote('hyper,5474,5,5474,5340,factor_simp,factor_simp')] ).
cnf(5676,plain,
( e_q(f(max(s(A),B)),a2)
| e_q(f(A),a2) ),
inference(hyper,[status(thm)],[5615,4,5615,12]),
[iquote('hyper,5615,4,5615,12')] ).
cnf(5678,plain,
( e_q(f(s(A)),a2)
| e_q(f(A),a2) ),
inference(hyper,[status(thm)],[5615,4,5615,9]),
[iquote('hyper,5615,4,5615,9')] ).
cnf(6403,plain,
e_q(f(A),a2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5676,5,5678,5266])]),
[iquote('hyper,5676,5,5678,5266,factor_simp')] ).
cnf(6404,plain,
$false,
inference(hyper,[status(thm)],[6403,5,6403,5341]),
[iquote('hyper,6403,5,6403,5341')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO617-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 10:25:50 EDT 2022
% 0.14/0.34 % CPUTime :
% 109.06/109.31 ----- Otter 3.3f, August 2004 -----
% 109.06/109.31 The process was started by sandbox on n022.cluster.edu,
% 109.06/109.31 Wed Jul 27 10:25:50 2022
% 109.06/109.31 The command was "./otter". The process ID is 27493.
% 109.06/109.31
% 109.06/109.31 set(prolog_style_variables).
% 109.06/109.31 set(auto).
% 109.06/109.31 dependent: set(auto1).
% 109.06/109.31 dependent: set(process_input).
% 109.06/109.31 dependent: clear(print_kept).
% 109.06/109.31 dependent: clear(print_new_demod).
% 109.06/109.31 dependent: clear(print_back_demod).
% 109.06/109.31 dependent: clear(print_back_sub).
% 109.06/109.31 dependent: set(control_memory).
% 109.06/109.31 dependent: assign(max_mem, 12000).
% 109.06/109.31 dependent: assign(pick_given_ratio, 4).
% 109.06/109.31 dependent: assign(stats_level, 1).
% 109.06/109.31 dependent: assign(max_seconds, 10800).
% 109.06/109.31 clear(print_given).
% 109.06/109.31
% 109.06/109.31 list(usable).
% 109.06/109.31 0 [] le(A,A).
% 109.06/109.31 0 [] -le(max(A,B),C)|le(A,C).
% 109.06/109.31 0 [] -le(max(A,B),C)|le(B,C).
% 109.06/109.31 0 [] e_q(f(A),a0)|e_q(f(A),a1)|e_q(f(A),a2).
% 109.06/109.31 0 [] -e_q(f(A0),a0)| -e_q(f(A1),a0)| -le(s(A0),A1).
% 109.06/109.31 0 [] -e_q(f(A0),a1)| -e_q(f(A1),a1)| -le(s(A0),A1).
% 109.06/109.31 0 [] -e_q(f(A0),a2)| -e_q(f(A1),a2)| -le(s(A0),A1).
% 109.06/109.31 end_of_list.
% 109.06/109.31
% 109.06/109.31 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 109.06/109.31
% 109.06/109.31 This is a non-Horn set without equality. The strategy will
% 109.06/109.31 be ordered hyper_res, unit deletion, and factoring, with
% 109.06/109.31 satellites in sos and with nuclei in usable.
% 109.06/109.31
% 109.06/109.31 dependent: set(hyper_res).
% 109.06/109.31 dependent: set(factor).
% 109.06/109.31 dependent: set(unit_deletion).
% 109.06/109.31
% 109.06/109.31 ------------> process usable:
% 109.06/109.31 ** KEPT (pick-wt=8): 1 [] -le(max(A,B),C)|le(A,C).
% 109.06/109.31 ** KEPT (pick-wt=8): 2 [] -le(max(A,B),C)|le(B,C).
% 109.06/109.31 ** KEPT (pick-wt=12): 3 [] -e_q(f(A),a0)| -e_q(f(B),a0)| -le(s(A),B).
% 109.06/109.31 ** KEPT (pick-wt=12): 4 [] -e_q(f(A),a1)| -e_q(f(B),a1)| -le(s(A),B).
% 109.06/109.31 ** KEPT (pick-wt=12): 5 [] -e_q(f(A),a2)| -e_q(f(B),a2)| -le(s(A),B).
% 109.06/109.31
% 109.06/109.31 ------------> process sos:
% 109.06/109.31 ** KEPT (pick-wt=3): 9 [] le(A,A).
% 109.06/109.31 ** KEPT (pick-wt=12): 10 [] e_q(f(A),a0)|e_q(f(A),a1)|e_q(f(A),a2).
% 109.06/109.31
% 109.06/109.31 ======= end of input processing =======
% 109.06/109.31
% 109.06/109.31 =========== start of search ===========
% 109.06/109.31
% 109.06/109.31
% 109.06/109.31 Resetting weight limit to 30.
% 109.06/109.31
% 109.06/109.31
% 109.06/109.31 Resetting weight limit to 30.
% 109.06/109.31
% 109.06/109.31 sos_size=4810
% 109.06/109.31
% 109.06/109.31
% 109.06/109.31 Resetting weight limit to 28.
% 109.06/109.31
% 109.06/109.31
% 109.06/109.31 Resetting weight limit to 28.
% 109.06/109.31
% 109.06/109.31 sos_size=5062
% 109.06/109.31
% 109.06/109.31
% 109.06/109.31 Resetting weight limit to 25.
% 109.06/109.31
% 109.06/109.31
% 109.06/109.31 Resetting weight limit to 25.
% 109.06/109.31
% 109.06/109.31 sos_size=4233
% 109.06/109.31
% 109.06/109.31
% 109.06/109.31 Resetting weight limit to 19.
% 109.06/109.31
% 109.06/109.31
% 109.06/109.31 Resetting weight limit to 19.
% 109.06/109.31
% 109.06/109.31 sos_size=3246
% 109.06/109.31
% 109.06/109.31 -- HEY sandbox, WE HAVE A PROOF!! --
% 109.06/109.31
% 109.06/109.31 -----> EMPTY CLAUSE at 107.40 sec ----> 6404 [hyper,6403,5,6403,5341] $F.
% 109.06/109.31
% 109.06/109.31 Length of proof is 34. Level of proof is 11.
% 109.06/109.31
% 109.06/109.31 ---------------- PROOF ----------------
% 109.06/109.31 % SZS status Unsatisfiable
% 109.06/109.31 % SZS output start Refutation
% See solution above
% 109.06/109.31 ------------ end of proof -------------
% 109.06/109.31
% 109.06/109.31
% 109.06/109.31 Search stopped by max_proofs option.
% 109.06/109.31
% 109.06/109.31
% 109.06/109.31 Search stopped by max_proofs option.
% 109.06/109.31
% 109.06/109.31 ============ end of search ============
% 109.06/109.31
% 109.06/109.31 -------------- statistics -------------
% 109.06/109.31 clauses given 327
% 109.06/109.31 clauses generated 4840273
% 109.06/109.31 clauses kept 6403
% 109.06/109.31 clauses forward subsumed 11536
% 109.06/109.31 clauses back subsumed 5640
% 109.06/109.31 Kbytes malloced 7812
% 109.06/109.31
% 109.06/109.31 ----------- times (seconds) -----------
% 109.06/109.31 user CPU time 107.40 (0 hr, 1 min, 47 sec)
% 109.06/109.31 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 109.06/109.31 wall-clock time 109 (0 hr, 1 min, 49 sec)
% 109.06/109.31
% 109.06/109.31 That finishes the proof of the theorem.
% 109.06/109.31
% 109.06/109.31 Process 27493 finished Wed Jul 27 10:27:39 2022
% 109.06/109.32 Otter interrupted
% 109.06/109.32 PROOF FOUND
%------------------------------------------------------------------------------