TSTP Solution File: SYN589-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN589-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 13:24:58 EDT 2022
% Result : Unsatisfiable 1.72s 1.94s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( p7(A,B)
| ~ p7(C,A)
| ~ p7(C,B) ),
file('SYN589-1.p',unknown),
[] ).
cnf(16,axiom,
~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
file('SYN589-1.p',unknown),
[] ).
cnf(25,axiom,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
file('SYN589-1.p',unknown),
[] ).
cnf(26,axiom,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
file('SYN589-1.p',unknown),
[] ).
cnf(989,plain,
p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(hyper,[status(thm)],[26,7,25]),
[iquote('hyper,26,7,25')] ).
cnf(990,plain,
$false,
inference(binary,[status(thm)],[989,16]),
[iquote('binary,989.1,16.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN589-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 10:58:21 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.72/1.92 ----- Otter 3.3f, August 2004 -----
% 1.72/1.92 The process was started by sandbox on n004.cluster.edu,
% 1.72/1.92 Wed Jul 27 10:58:21 2022
% 1.72/1.92 The command was "./otter". The process ID is 14489.
% 1.72/1.92
% 1.72/1.92 set(prolog_style_variables).
% 1.72/1.92 set(auto).
% 1.72/1.92 dependent: set(auto1).
% 1.72/1.92 dependent: set(process_input).
% 1.72/1.92 dependent: clear(print_kept).
% 1.72/1.92 dependent: clear(print_new_demod).
% 1.72/1.92 dependent: clear(print_back_demod).
% 1.72/1.92 dependent: clear(print_back_sub).
% 1.72/1.92 dependent: set(control_memory).
% 1.72/1.92 dependent: assign(max_mem, 12000).
% 1.72/1.92 dependent: assign(pick_given_ratio, 4).
% 1.72/1.92 dependent: assign(stats_level, 1).
% 1.72/1.92 dependent: assign(max_seconds, 10800).
% 1.72/1.92 clear(print_given).
% 1.72/1.92
% 1.72/1.92 list(usable).
% 1.72/1.92 0 [] p2(X8,X8).
% 1.72/1.92 0 [] p7(X25,X25).
% 1.72/1.92 0 [] p2(c21,f3(c17)).
% 1.72/1.92 0 [] -p2(c16,f3(c17)).
% 1.72/1.92 0 [] p14(c18,f3(f4(f5(c17)))).
% 1.72/1.92 0 [] p14(c23,f3(f4(f5(c17)))).
% 1.72/1.92 0 [] p14(c19,f6(f3(f4(f5(c17))),c16)).
% 1.72/1.92 0 [] p14(c24,f6(f3(f4(f5(c17))),c16)).
% 1.72/1.92 0 [] p7(f12(X34),f12(X35))| -p7(X34,X35).
% 1.72/1.92 0 [] p2(f3(X15),f3(X16))| -p2(X15,X16).
% 1.72/1.92 0 [] p2(f4(X17),f4(X18))| -p2(X17,X18).
% 1.72/1.92 0 [] p2(f5(X19),f5(X20))| -p2(X19,X20).
% 1.72/1.92 0 [] p7(f11(X32),f11(X33))| -p2(X32,X33).
% 1.72/1.92 0 [] p7(X26,X27)| -p7(X25,X26)| -p7(X25,X27).
% 1.72/1.92 0 [] p2(X9,X10)| -p2(X8,X9)| -p2(X8,X10).
% 1.72/1.92 0 [] p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c24).
% 1.72/1.92 0 [] p14(X0,X1)| -p2(X2,X0)| -p2(X3,X1)| -p14(X2,X3).
% 1.72/1.92 0 [] p15(X4,X5)| -p2(X6,X4)| -p2(X7,X5)| -p15(X6,X7).
% 1.72/1.92 0 [] p2(f13(X11,X12),f13(X13,X14))| -p2(X11,X13)| -p2(X12,X14).
% 1.72/1.92 0 [] p7(f9(X40,X41),f9(X42,X43))| -p7(X40,X42)| -p7(X41,X43).
% 1.72/1.92 0 [] p7(f8(X36,X37),f8(X38,X39))| -p7(X36,X38)| -p7(X37,X39).
% 1.72/1.92 0 [] p7(f10(X28,X29),f10(X30,X31))| -p2(X29,X31)| -p7(X28,X30).
% 1.72/1.92 0 [] p2(f6(X21,X22),f6(X23,X24))| -p2(X21,X23)| -p2(X22,X24).
% 1.72/1.92 0 [] p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))).
% 1.72/1.92 0 [] p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))).
% 1.72/1.92 0 [] -p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))).
% 1.72/1.92 end_of_list.
% 1.72/1.92
% 1.72/1.92 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.72/1.92
% 1.72/1.92 This is a Horn set without equality. The strategy will
% 1.72/1.92 be hyperresolution, with satellites in sos and nuclei
% 1.72/1.92 in usable.
% 1.72/1.92
% 1.72/1.92 dependent: set(hyper_res).
% 1.72/1.92 dependent: clear(order_hyper).
% 1.72/1.92
% 1.72/1.92 ------------> process usable:
% 1.72/1.92 ** KEPT (pick-wt=4): 1 [] -p2(c16,f3(c17)).
% 1.72/1.92 ** KEPT (pick-wt=8): 2 [] p7(f12(A),f12(B))| -p7(A,B).
% 1.72/1.92 ** KEPT (pick-wt=8): 3 [] p2(f3(A),f3(B))| -p2(A,B).
% 1.72/1.92 ** KEPT (pick-wt=8): 4 [] p2(f4(A),f4(B))| -p2(A,B).
% 1.72/1.92 ** KEPT (pick-wt=8): 5 [] p2(f5(A),f5(B))| -p2(A,B).
% 1.72/1.92 ** KEPT (pick-wt=8): 6 [] p7(f11(A),f11(B))| -p2(A,B).
% 1.72/1.92 ** KEPT (pick-wt=9): 7 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 1.72/1.92 ** KEPT (pick-wt=9): 8 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.72/1.92 ** KEPT (pick-wt=12): 9 [] p14(A,B)| -p2(C,A)| -p2(D,B)| -p14(C,D).
% 1.72/1.92 ** KEPT (pick-wt=12): 10 [] p15(A,B)| -p2(C,A)| -p2(D,B)| -p15(C,D).
% 1.72/1.92 ** KEPT (pick-wt=13): 11 [] p2(f13(A,B),f13(C,D))| -p2(A,C)| -p2(B,D).
% 1.72/1.92 ** KEPT (pick-wt=13): 12 [] p7(f9(A,B),f9(C,D))| -p7(A,C)| -p7(B,D).
% 1.72/1.92 ** KEPT (pick-wt=13): 13 [] p7(f8(A,B),f8(C,D))| -p7(A,C)| -p7(B,D).
% 1.72/1.92 ** KEPT (pick-wt=13): 14 [] p7(f10(A,B),f10(C,D))| -p2(B,D)| -p7(A,C).
% 1.72/1.92 ** KEPT (pick-wt=13): 15 [] p2(f6(A,B),f6(C,D))| -p2(A,C)| -p2(B,D).
% 1.72/1.92 ** KEPT (pick-wt=53): 16 [] -p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))).
% 1.72/1.92
% 1.72/1.92 ------------> process sos:
% 1.72/1.92 ** KEPT (pick-wt=3): 17 [] p2(A,A).
% 1.72/1.92 ** KEPT (pick-wt=3): 18 [] p7(A,A).
% 1.72/1.92 ** KEPT (pick-wt=4): 19 [] p2(c21,f3(c17)).
% 1.72/1.92 ** KEPT (pick-wt=6): 20 [] p14(c18,f3(f4(f5(c17)))).
% 1.72/1.92 ** KEPT (pick-wt=6): 21 [] p14(c23,f3(f4(f5(c17)))).
% 1.72/1.92 ** KEPT (pick-wt=8): 22 [] p14(c19,f6(f3(f4(f5(c17))),c16)).
% 1.72/1.92 ** KEPT (pick-wt=8): 23 [] p14(c24,f6(f3(f4(f5(c17))),c16)).
% 1.72/1.92 ** KEPT (pick-wt=12): 24 [] p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c24).
% 1.72/1.92 ** KEPT (pick-wt=28): 25 [] p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))).
% 1.72/1.94 ** KEPT (pick-wt=28): 26 [] p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))).
% 1.72/1.94
% 1.72/1.94 ======= end of input processing =======
% 1.72/1.94
% 1.72/1.94 =========== start of search ===========
% 1.72/1.94
% 1.72/1.94 -------- PROOF --------
% 1.72/1.94
% 1.72/1.94 ----> UNIT CONFLICT at 0.02 sec ----> 990 [binary,989.1,16.1] $F.
% 1.72/1.94
% 1.72/1.94 Length of proof is 1. Level of proof is 1.
% 1.72/1.94
% 1.72/1.94 ---------------- PROOF ----------------
% 1.72/1.94 % SZS status Unsatisfiable
% 1.72/1.94 % SZS output start Refutation
% See solution above
% 1.72/1.94 ------------ end of proof -------------
% 1.72/1.94
% 1.72/1.94
% 1.72/1.94 Search stopped by max_proofs option.
% 1.72/1.94
% 1.72/1.94
% 1.72/1.94 Search stopped by max_proofs option.
% 1.72/1.94
% 1.72/1.94 ============ end of search ============
% 1.72/1.94
% 1.72/1.94 -------------- statistics -------------
% 1.72/1.94 clauses given 31
% 1.72/1.94 clauses generated 1143
% 1.72/1.94 clauses kept 989
% 1.72/1.94 clauses forward subsumed 180
% 1.72/1.94 clauses back subsumed 0
% 1.72/1.94 Kbytes malloced 2929
% 1.72/1.94
% 1.72/1.94 ----------- times (seconds) -----------
% 1.72/1.94 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 1.72/1.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.72/1.94 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.72/1.94
% 1.72/1.94 That finishes the proof of the theorem.
% 1.72/1.94
% 1.72/1.94 Process 14489 finished Wed Jul 27 10:58:22 2022
% 1.72/1.94 Otter interrupted
% 1.72/1.94 PROOF FOUND
%------------------------------------------------------------------------------