TSTP Solution File: SYN593-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN593-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.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 1.70s 1.91s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 7
% Syntax : Number of clauses : 8 ( 7 unt; 1 nHn; 8 RR)
% Number of literals : 13 ( 0 equ; 6 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p3(c21,c19),
file('SYN593-1.p',unknown),
[] ).
cnf(2,axiom,
~ p12(f13(c20),f13(c18)),
file('SYN593-1.p',unknown),
[] ).
cnf(17,axiom,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('SYN593-1.p',unknown),
[] ).
cnf(18,axiom,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('SYN593-1.p',unknown),
[] ).
cnf(20,axiom,
( p3(A,B)
| p12(f13(C),f13(c18))
| p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(B)),C)
| p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(A)),C)
| ~ p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),A),C)
| ~ p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),B),C) ),
file('SYN593-1.p',unknown),
[] ).
cnf(31,axiom,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('SYN593-1.p',unknown),
[] ).
cnf(32,axiom,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('SYN593-1.p',unknown),
[] ).
cnf(35,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[32,20,31]),1,2,18,17]),
[iquote('hyper,32,20,31,unit_del,1,2,18,17')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SYN593-1 : TPTP v8.1.0. Released v2.5.0.
% 0.09/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n010.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 11:08:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.70/1.91 ----- Otter 3.3f, August 2004 -----
% 1.70/1.91 The process was started by sandbox on n010.cluster.edu,
% 1.70/1.91 Wed Jul 27 11:08:39 2022
% 1.70/1.91 The command was "./otter". The process ID is 32461.
% 1.70/1.91
% 1.70/1.91 set(prolog_style_variables).
% 1.70/1.91 set(auto).
% 1.70/1.91 dependent: set(auto1).
% 1.70/1.91 dependent: set(process_input).
% 1.70/1.91 dependent: clear(print_kept).
% 1.70/1.91 dependent: clear(print_new_demod).
% 1.70/1.91 dependent: clear(print_back_demod).
% 1.70/1.91 dependent: clear(print_back_sub).
% 1.70/1.91 dependent: set(control_memory).
% 1.70/1.91 dependent: assign(max_mem, 12000).
% 1.70/1.91 dependent: assign(pick_given_ratio, 4).
% 1.70/1.91 dependent: assign(stats_level, 1).
% 1.70/1.91 dependent: assign(max_seconds, 10800).
% 1.70/1.91 clear(print_given).
% 1.70/1.91
% 1.70/1.91 list(usable).
% 1.70/1.91 0 [] p12(X0,X0).
% 1.70/1.91 0 [] p5(X37,X37).
% 1.70/1.91 0 [] p3(X24,X24).
% 1.70/1.91 0 [] p2(X13,X13).
% 1.70/1.91 0 [] -p3(c21,c19).
% 1.70/1.91 0 [] -p12(f13(c20),f13(c18)).
% 1.70/1.91 0 [] p12(f13(X3),f13(X4))| -p2(X3,X4).
% 1.70/1.91 0 [] p5(f7(X42),f7(X43))| -p3(X42,X43).
% 1.70/1.91 0 [] p5(f10(X40),f10(X41))| -p5(X40,X41).
% 1.70/1.91 0 [] p3(f9(X35),f9(X36))| -p3(X35,X36).
% 1.70/1.91 0 [] p3(f8(X33),f8(X34))| -p3(X33,X34).
% 1.70/1.91 0 [] p3(f11(X27),f11(X28))| -p3(X27,X28).
% 1.70/1.91 0 [] p12(X1,X2)| -p12(X0,X1)| -p12(X0,X2).
% 1.70/1.91 0 [] p5(X38,X39)| -p5(X37,X38)| -p5(X37,X39).
% 1.70/1.91 0 [] p3(X25,X26)| -p3(X24,X25)| -p3(X24,X26).
% 1.70/1.91 0 [] p2(X14,X15)| -p2(X13,X14)| -p2(X13,X15).
% 1.70/1.91 0 [] p15(X9,X10)| -p2(X11,X9)| -p2(X12,X10)| -p15(X11,X12).
% 1.70/1.91 0 [] p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20).
% 1.70/1.91 0 [] p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20).
% 1.70/1.91 0 [] p3(f14(X29,X30),f14(X31,X32))| -p2(X29,X31)| -p5(X30,X32).
% 1.70/1.91 0 [] p2(f4(X16,X17),f4(X18,X19))| -p2(X16,X18)| -p3(X17,X19).
% 1.70/1.91 0 [] p2(f6(X20,X21),f6(X22,X23))| -p2(X21,X23)| -p5(X20,X22).
% 1.70/1.91 0 [] -p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20).
% 1.70/1.91 0 [] -p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20).
% 1.70/1.91 0 [] p12(f13(X5),f13(c18))|p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f14(X5,X6)),X5).
% 1.70/1.91 0 [] p12(f13(X5),f13(c18))| -p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(f14(X5,X6))),X5).
% 1.70/1.91 0 [] p3(X7,X8)|p12(f13(X5),f13(c18))|p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X8)),X5)|p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X7)),X5)| -p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X7),X5)| -p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X8),X5).
% 1.70/1.91 end_of_list.
% 1.70/1.91
% 1.70/1.91 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.70/1.91
% 1.70/1.91 This is a non-Horn set without equality. The strategy will
% 1.70/1.91 be ordered hyper_res, unit deletion, and factoring, with
% 1.70/1.91 satellites in sos and with nuclei in usable.
% 1.70/1.91
% 1.70/1.91 dependent: set(hyper_res).
% 1.70/1.91 dependent: set(factor).
% 1.70/1.91 dependent: set(unit_deletion).
% 1.70/1.91
% 1.70/1.91 ------------> process usable:
% 1.70/1.91 ** KEPT (pick-wt=3): 1 [] -p3(c21,c19).
% 1.70/1.91 ** KEPT (pick-wt=5): 2 [] -p12(f13(c20),f13(c18)).
% 1.70/1.91 ** KEPT (pick-wt=8): 3 [] p12(f13(A),f13(B))| -p2(A,B).
% 1.70/1.91 ** KEPT (pick-wt=8): 4 [] p5(f7(A),f7(B))| -p3(A,B).
% 1.70/1.91 ** KEPT (pick-wt=8): 5 [] p5(f10(A),f10(B))| -p5(A,B).
% 1.70/1.91 ** KEPT (pick-wt=8): 6 [] p3(f9(A),f9(B))| -p3(A,B).
% 1.70/1.91 ** KEPT (pick-wt=8): 7 [] p3(f8(A),f8(B))| -p3(A,B).
% 1.70/1.91 ** KEPT (pick-wt=8): 8 [] p3(f11(A),f11(B))| -p3(A,B).
% 1.70/1.91 ** KEPT (pick-wt=9): 9 [] p12(A,B)| -p12(C,A)| -p12(C,B).
% 1.70/1.91 ** KEPT (pick-wt=9): 10 [] p5(A,B)| -p5(C,A)| -p5(C,B).
% 1.70/1.91 ** KEPT (pick-wt=9): 11 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.70/1.91 ** KEPT (pick-wt=9): 12 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.70/1.91 ** KEPT (pick-wt=12): 13 [] p15(A,B)| -p2(C,A)| -p2(D,B)| -p15(C,D).
% 1.70/1.91 ** KEPT (pick-wt=13): 14 [] p3(f14(A,B),f14(C,D))| -p2(A,C)| -p5(B,D).
% 1.70/1.91 ** KEPT (pick-wt=13): 15 [] p2(f4(A,B),f4(C,D))| -p2(A,C)| -p3(B,D).
% 1.70/1.91 ** KEPT (pick-wt=13): 16 [] p2(f6(A,B),f6(C,D))| -p2(B,D)| -p5(A,C).
% 1.70/1.91 ** KEPT (pick-wt=14): 17 [] -p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20).
% 1.70/1.91 ** KEPT (pick-wt=14): 18 [] -p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20).
% 1.70/1.91 ** KEPT (pick-wt=21): 19 [] p12(f13(A),f13(c18))| -p15(f4(f6(f10(B),f6(f7(f8(f9(c17))),c18)),f11(f14(A,B))),A).
% 1.70/1.91 ** KEPT (pick-wt=62): 20 [] p3(A,B)|p12(f13(C),f13(c18))|p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(B)),C)|p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(A)),C)| -p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),A),C)| -p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),B),C).
% 1.70/1.91
% 1.70/1.91 ------------> process sos:
% 1.70/1.91 ** KEPT (pick-wt=3): 27 [] p12(A,A).
% 1.70/1.91 ** KEPT (pick-wt=3): 28 [] p5(A,A).
% 1.70/1.91 ** KEPT (pick-wt=3): 29 [] p3(A,A).
% 1.70/1.91 ** KEPT (pick-wt=3): 30 [] p2(A,A).
% 1.70/1.91 ** KEPT (pick-wt=13): 31 [] p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20).
% 1.70/1.91 ** KEPT (pick-wt=13): 32 [] p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20).
% 1.70/1.91 ** KEPT (pick-wt=20): 33 [] p12(f13(A),f13(c18))|p15(f4(f6(f10(B),f6(f7(f8(f9(c17))),c18)),f14(A,B)),A).
% 1.70/1.91 27 back subsumes 21.
% 1.70/1.91 28 back subsumes 22.
% 1.70/1.91 29 back subsumes 26.
% 1.70/1.91 29 back subsumes 23.
% 1.70/1.91 30 back subsumes 24.
% 1.70/1.91
% 1.70/1.91 ======= end of input processing =======
% 1.70/1.91
% 1.70/1.91 =========== start of search ===========
% 1.70/1.91
% 1.70/1.91 -------- PROOF --------
% 1.70/1.91
% 1.70/1.91 -----> EMPTY CLAUSE at 0.00 sec ----> 35 [hyper,32,20,31,unit_del,1,2,18,17] $F.
% 1.70/1.91
% 1.70/1.91 Length of proof is 0. Level of proof is 0.
% 1.70/1.91
% 1.70/1.91 ---------------- PROOF ----------------
% 1.70/1.91 % SZS status Unsatisfiable
% 1.70/1.91 % SZS output start Refutation
% See solution above
% 1.70/1.91 ------------ end of proof -------------
% 1.70/1.91
% 1.70/1.91
% 1.70/1.91 Search stopped by max_proofs option.
% 1.70/1.91
% 1.70/1.91
% 1.70/1.91 Search stopped by max_proofs option.
% 1.70/1.91
% 1.70/1.91 ============ end of search ============
% 1.70/1.91
% 1.70/1.91 -------------- statistics -------------
% 1.70/1.91 clauses given 6
% 1.70/1.91 clauses generated 31
% 1.70/1.91 clauses kept 34
% 1.70/1.91 clauses forward subsumed 23
% 1.70/1.91 clauses back subsumed 5
% 1.70/1.91 Kbytes malloced 976
% 1.70/1.91
% 1.70/1.91 ----------- times (seconds) -----------
% 1.70/1.91 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.91 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.70/1.91
% 1.70/1.91 That finishes the proof of the theorem.
% 1.70/1.91
% 1.70/1.91 Process 32461 finished Wed Jul 27 11:08:41 2022
% 1.70/1.91 Otter interrupted
% 1.74/1.91 PROOF FOUND
%------------------------------------------------------------------------------