TSTP Solution File: SYN562-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN562-1 : 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 13:24:54 EDT 2022
% Result : Unsatisfiable 1.67s 1.89s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 19 ( 8 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p10(A,A),
file('SYN562-1.p',unknown),
[] ).
cnf(10,axiom,
( p10(A,B)
| ~ p2(C,A)
| ~ p2(D,B)
| ~ p10(C,D) ),
file('SYN562-1.p',unknown),
[] ).
cnf(11,axiom,
p2(A,A),
file('SYN562-1.p',unknown),
[] ).
cnf(15,axiom,
p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('SYN562-1.p',unknown),
[] ).
cnf(16,axiom,
p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('SYN562-1.p',unknown),
[] ).
cnf(46,plain,
p10(f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12)))))))))))))))))),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
inference(hyper,[status(thm)],[16,10,15,11]),
[iquote('hyper,16,10,15,11')] ).
cnf(47,plain,
$false,
inference(binary,[status(thm)],[46,1]),
[iquote('binary,46.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN562-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n019.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 11:05:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.67/1.89 ----- Otter 3.3f, August 2004 -----
% 1.67/1.89 The process was started by sandbox2 on n019.cluster.edu,
% 1.67/1.89 Wed Jul 27 11:05:07 2022
% 1.67/1.89 The command was "./otter". The process ID is 20978.
% 1.67/1.89
% 1.67/1.89 set(prolog_style_variables).
% 1.67/1.89 set(auto).
% 1.67/1.89 dependent: set(auto1).
% 1.67/1.89 dependent: set(process_input).
% 1.67/1.89 dependent: clear(print_kept).
% 1.67/1.89 dependent: clear(print_new_demod).
% 1.67/1.89 dependent: clear(print_back_demod).
% 1.67/1.89 dependent: clear(print_back_sub).
% 1.67/1.89 dependent: set(control_memory).
% 1.67/1.89 dependent: assign(max_mem, 12000).
% 1.67/1.89 dependent: assign(pick_given_ratio, 4).
% 1.67/1.89 dependent: assign(stats_level, 1).
% 1.67/1.89 dependent: assign(max_seconds, 10800).
% 1.67/1.89 clear(print_given).
% 1.67/1.89
% 1.67/1.89 list(usable).
% 1.67/1.89 0 [] p2(X4,X4).
% 1.67/1.89 0 [] p6(X19,X19).
% 1.67/1.89 0 [] -p10(X22,X22).
% 1.67/1.89 0 [] p2(f9(c11),f3(c12)).
% 1.67/1.89 0 [] p2(f8(c11),f3(c12)).
% 1.67/1.89 0 [] p2(f3(X7),f3(X8))| -p2(X7,X8).
% 1.67/1.89 0 [] p2(f9(X17),f9(X18))| -p6(X17,X18).
% 1.67/1.89 0 [] p2(f8(X15),f8(X16))| -p6(X15,X16).
% 1.67/1.89 0 [] p2(f7(X13),f7(X14))| -p6(X13,X14).
% 1.67/1.89 0 [] p2(f5(X11),f5(X12))| -p2(X11,X12).
% 1.67/1.89 0 [] p2(f4(X9),f4(X10))| -p2(X9,X10).
% 1.67/1.89 0 [] p2(X5,X6)| -p2(X4,X5)| -p2(X4,X6).
% 1.67/1.89 0 [] p6(X20,X21)| -p6(X19,X20)| -p6(X19,X21).
% 1.67/1.89 0 [] p10(X0,X1)| -p2(X2,X0)| -p2(X3,X1)| -p10(X2,X3).
% 1.67/1.89 0 [] p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))).
% 1.67/1.89 0 [] p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))).
% 1.67/1.89 end_of_list.
% 1.67/1.89
% 1.67/1.89 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.67/1.89
% 1.67/1.89 This is a Horn set without equality. The strategy will
% 1.67/1.89 be hyperresolution, with satellites in sos and nuclei
% 1.67/1.89 in usable.
% 1.67/1.89
% 1.67/1.89 dependent: set(hyper_res).
% 1.67/1.89 dependent: clear(order_hyper).
% 1.67/1.89
% 1.67/1.89 ------------> process usable:
% 1.67/1.89 ** KEPT (pick-wt=3): 1 [] -p10(A,A).
% 1.67/1.89 ** KEPT (pick-wt=8): 2 [] p2(f3(A),f3(B))| -p2(A,B).
% 1.67/1.89 ** KEPT (pick-wt=8): 3 [] p2(f9(A),f9(B))| -p6(A,B).
% 1.67/1.89 ** KEPT (pick-wt=8): 4 [] p2(f8(A),f8(B))| -p6(A,B).
% 1.67/1.89 ** KEPT (pick-wt=8): 5 [] p2(f7(A),f7(B))| -p6(A,B).
% 1.67/1.89 ** KEPT (pick-wt=8): 6 [] p2(f5(A),f5(B))| -p2(A,B).
% 1.67/1.89 ** KEPT (pick-wt=8): 7 [] p2(f4(A),f4(B))| -p2(A,B).
% 1.67/1.89 ** KEPT (pick-wt=9): 8 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.67/1.89 ** KEPT (pick-wt=9): 9 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 1.67/1.89 ** KEPT (pick-wt=12): 10 [] p10(A,B)| -p2(C,A)| -p2(D,B)| -p10(C,D).
% 1.67/1.89
% 1.67/1.89 ------------> process sos:
% 1.67/1.89 ** KEPT (pick-wt=3): 11 [] p2(A,A).
% 1.67/1.89 ** KEPT (pick-wt=3): 12 [] p6(A,A).
% 1.67/1.89 ** KEPT (pick-wt=5): 13 [] p2(f9(c11),f3(c12)).
% 1.67/1.89 ** KEPT (pick-wt=5): 14 [] p2(f8(c11),f3(c12)).
% 1.67/1.89 ** KEPT (pick-wt=22): 15 [] p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))).
% 1.67/1.89 ** KEPT (pick-wt=22): 16 [] p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))).
% 1.67/1.89
% 1.67/1.89 ======= end of input processing =======
% 1.67/1.89
% 1.67/1.89 =========== start of search ===========
% 1.67/1.89
% 1.67/1.89 -------- PROOF --------
% 1.67/1.89
% 1.67/1.89 ----> UNIT CONFLICT at 0.00 sec ----> 47 [binary,46.1,1.1] $F.
% 1.67/1.89
% 1.67/1.89 Length of proof is 1. Level of proof is 1.
% 1.67/1.89
% 1.67/1.89 ---------------- PROOF ----------------
% 1.67/1.89 % SZS status Unsatisfiable
% 1.67/1.89 % SZS output start Refutation
% See solution above
% 1.67/1.89 ------------ end of proof -------------
% 1.67/1.89
% 1.67/1.89
% 1.67/1.89 Search stopped by max_proofs option.
% 1.67/1.89
% 1.67/1.89
% 1.67/1.89 Search stopped by max_proofs option.
% 1.67/1.89
% 1.67/1.89 ============ end of search ============
% 1.67/1.89
% 1.67/1.89 -------------- statistics -------------
% 1.67/1.89 clauses given 11
% 1.67/1.89 clauses generated 73
% 1.67/1.89 clauses kept 46
% 1.67/1.89 clauses forward subsumed 43
% 1.67/1.89 clauses back subsumed 0
% 1.67/1.89 Kbytes malloced 976
% 1.67/1.89
% 1.67/1.89 ----------- times (seconds) -----------
% 1.67/1.89 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.89 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.89 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.67/1.89
% 1.67/1.89 That finishes the proof of the theorem.
% 1.67/1.89
% 1.67/1.89 Process 20978 finished Wed Jul 27 11:05:08 2022
% 1.67/1.89 Otter interrupted
% 1.67/1.89 PROOF FOUND
%------------------------------------------------------------------------------