TSTP Solution File: SYN619-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN619-1 : 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 13:25:01 EDT 2022
% Result : Unsatisfiable 1.69s 1.89s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 9 unt; 8 nHn; 17 RR)
% Number of literals : 34 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p18(c24,f6(f7(c22,c23))),
file('SYN619-1.p',unknown),
[] ).
cnf(2,axiom,
( p17(A,B)
| ~ p17(f3(A),B) ),
file('SYN619-1.p',unknown),
[] ).
cnf(17,axiom,
( p18(A,f6(c19))
| p2(f14(A),c20)
| ~ p18(A,f6(c25)) ),
file('SYN619-1.p',unknown),
[] ).
cnf(20,axiom,
( p18(A,f6(c19))
| p17(f3(c21),f15(A))
| ~ p18(A,f6(c25)) ),
file('SYN619-1.p',unknown),
[] ).
cnf(24,axiom,
( ~ p2(A,c20)
| ~ p17(c21,B)
| ~ p8(c24,f9(f13(A,B),C)) ),
file('SYN619-1.p',unknown),
[] ).
cnf(25,axiom,
( p18(A,f6(c19))
| p8(A,f9(f13(f14(A),f15(A)),f16(A)))
| ~ p18(A,f6(c25)) ),
file('SYN619-1.p',unknown),
[] ).
cnf(26,axiom,
( p18(A,f6(f7(c22,c23)))
| p8(A,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| ~ p18(A,f6(c19)) ),
file('SYN619-1.p',unknown),
[] ).
cnf(39,axiom,
p2(A,A),
file('SYN619-1.p',unknown),
[] ).
cnf(40,axiom,
p17(A,A),
file('SYN619-1.p',unknown),
[] ).
cnf(41,axiom,
p18(c24,f6(c25)),
file('SYN619-1.p',unknown),
[] ).
cnf(43,plain,
( p18(c24,f6(c19))
| p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24))) ),
inference(hyper,[status(thm)],[41,25]),
[iquote('hyper,41,25')] ).
cnf(44,plain,
( p18(c24,f6(c19))
| p17(f3(c21),f15(c24)) ),
inference(hyper,[status(thm)],[41,20]),
[iquote('hyper,41,20')] ).
cnf(45,plain,
( p18(c24,f6(c19))
| p2(f14(c24),c20) ),
inference(hyper,[status(thm)],[41,17]),
[iquote('hyper,41,17')] ).
cnf(73,plain,
( p17(f3(c21),f15(c24))
| p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23))))) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[44,26]),1]),
[iquote('hyper,44,26,unit_del,1')] ).
cnf(777,plain,
p17(f3(c21),f15(c24)),
inference(hyper,[status(thm)],[73,24,39,40]),
[iquote('hyper,73,24,39,40')] ).
cnf(779,plain,
p17(c21,f15(c24)),
inference(hyper,[status(thm)],[777,2]),
[iquote('hyper,777,2')] ).
cnf(780,plain,
p18(c24,f6(c19)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[779,24,45,43])]),
[iquote('hyper,779,24,45,43,factor_simp')] ).
cnf(781,plain,
p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23))))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[780,26]),1]),
[iquote('hyper,780,26,unit_del,1')] ).
cnf(782,plain,
$false,
inference(hyper,[status(thm)],[781,24,39,40]),
[iquote('hyper,781,24,39,40')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN619-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n004.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 11:20:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.62/1.81 ----- Otter 3.3f, August 2004 -----
% 1.62/1.81 The process was started by sandbox2 on n004.cluster.edu,
% 1.62/1.81 Wed Jul 27 11:20:21 2022
% 1.62/1.81 The command was "./otter". The process ID is 9534.
% 1.62/1.81
% 1.62/1.81 set(prolog_style_variables).
% 1.62/1.81 set(auto).
% 1.62/1.81 dependent: set(auto1).
% 1.62/1.81 dependent: set(process_input).
% 1.62/1.81 dependent: clear(print_kept).
% 1.62/1.81 dependent: clear(print_new_demod).
% 1.62/1.81 dependent: clear(print_back_demod).
% 1.62/1.81 dependent: clear(print_back_sub).
% 1.62/1.81 dependent: set(control_memory).
% 1.62/1.81 dependent: assign(max_mem, 12000).
% 1.62/1.81 dependent: assign(pick_given_ratio, 4).
% 1.62/1.81 dependent: assign(stats_level, 1).
% 1.62/1.81 dependent: assign(max_seconds, 10800).
% 1.62/1.81 clear(print_given).
% 1.62/1.81
% 1.62/1.81 list(usable).
% 1.62/1.81 0 [] p10(X0,X0).
% 1.62/1.81 0 [] p8(X51,X51).
% 1.62/1.81 0 [] p5(X46,X46).
% 1.62/1.81 0 [] p4(X39,X39).
% 1.62/1.81 0 [] p2(X18,X18).
% 1.62/1.81 0 [] p17(X9,X9).
% 1.62/1.81 0 [] p18(c24,f6(c25)).
% 1.62/1.81 0 [] -p18(c24,f6(f7(c22,c23))).
% 1.62/1.81 0 [] p17(X10,X11)| -p17(f3(X10),X11).
% 1.62/1.81 0 [] p5(f6(X49),f6(X50))| -p4(X49,X50).
% 1.62/1.81 0 [] p10(f12(X3),f12(X4))| -p4(X3,X4).
% 1.62/1.81 0 [] p2(f11(X25),f11(X26))| -p10(X25,X26).
% 1.62/1.81 0 [] p2(f14(X31),f14(X32))| -p8(X31,X32).
% 1.62/1.81 0 [] p2(f15(X33),f15(X34))| -p8(X33,X34).
% 1.62/1.81 0 [] p2(f16(X35),f16(X36))| -p8(X35,X36).
% 1.62/1.81 0 [] p2(f3(X37),f3(X38))| -p2(X37,X38).
% 1.62/1.81 0 [] p10(X1,X2)| -p10(X0,X1)| -p10(X0,X2).
% 1.62/1.81 0 [] p8(X52,X53)| -p8(X51,X52)| -p8(X51,X53).
% 1.62/1.81 0 [] p5(X47,X48)| -p5(X46,X47)| -p5(X46,X48).
% 1.62/1.81 0 [] p4(X40,X41)| -p4(X39,X40)| -p4(X39,X41).
% 1.62/1.81 0 [] p2(X19,X20)| -p2(X18,X19)| -p2(X18,X20).
% 1.62/1.81 0 [] p2(X23,X24)| -p2(f13(X21,X23),f13(X22,X24)).
% 1.62/1.81 0 [] p2(X21,X22)| -p2(f13(X21,X23),f13(X22,X24)).
% 1.62/1.81 0 [] p18(X12,f6(c19))|p2(f14(X12),c20)| -p18(X12,f6(c25)).
% 1.62/1.81 0 [] p17(X5,X6)| -p2(X7,X5)| -p2(X8,X6)| -p17(X7,X8).
% 1.62/1.81 0 [] p18(X13,X14)| -p5(X16,X14)| -p8(X15,X13)| -p18(X15,X16).
% 1.62/1.81 0 [] p18(X12,f6(c19))|p17(f3(c21),f15(X12))| -p18(X12,f6(c25)).
% 1.62/1.81 0 [] p8(f9(X54,X55),f9(X56,X57))| -p2(X55,X57)| -p2(X54,X56).
% 1.62/1.81 0 [] p2(f13(X27,X28),f13(X29,X30))| -p2(X27,X29)| -p2(X28,X30).
% 1.62/1.81 0 [] p2(f13(X21,X23),f13(X22,X24))| -p2(X21,X22)| -p2(X23,X24).
% 1.62/1.81 0 [] p4(f7(X42,X43),f7(X44,X45))| -p2(X42,X44)| -p4(X43,X45).
% 1.62/1.81 0 [] -p2(X59,c20)| -p17(c21,X58)| -p8(c24,f9(f13(X59,X58),X60)).
% 1.62/1.81 0 [] p18(X12,f6(c19))|p8(X12,f9(f13(f14(X12),f15(X12)),f16(X12)))| -p18(X12,f6(c25)).
% 1.62/1.81 0 [] p18(X17,f6(f7(c22,c23)))|p8(X17,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))| -p18(X17,f6(c19)).
% 1.62/1.81 end_of_list.
% 1.62/1.81
% 1.62/1.81 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.62/1.81
% 1.62/1.81 This is a non-Horn set without equality. The strategy will
% 1.62/1.81 be ordered hyper_res, unit deletion, and factoring, with
% 1.62/1.81 satellites in sos and with nuclei in usable.
% 1.62/1.81
% 1.62/1.81 dependent: set(hyper_res).
% 1.62/1.81 dependent: set(factor).
% 1.62/1.81 dependent: set(unit_deletion).
% 1.62/1.81
% 1.62/1.81 ------------> process usable:
% 1.62/1.81 ** KEPT (pick-wt=6): 1 [] -p18(c24,f6(f7(c22,c23))).
% 1.62/1.81 ** KEPT (pick-wt=7): 2 [] p17(A,B)| -p17(f3(A),B).
% 1.62/1.81 ** KEPT (pick-wt=8): 3 [] p5(f6(A),f6(B))| -p4(A,B).
% 1.62/1.81 ** KEPT (pick-wt=8): 4 [] p10(f12(A),f12(B))| -p4(A,B).
% 1.62/1.81 ** KEPT (pick-wt=8): 5 [] p2(f11(A),f11(B))| -p10(A,B).
% 1.62/1.81 ** KEPT (pick-wt=8): 6 [] p2(f14(A),f14(B))| -p8(A,B).
% 1.62/1.81 ** KEPT (pick-wt=8): 7 [] p2(f15(A),f15(B))| -p8(A,B).
% 1.62/1.81 ** KEPT (pick-wt=8): 8 [] p2(f16(A),f16(B))| -p8(A,B).
% 1.62/1.81 ** KEPT (pick-wt=8): 9 [] p2(f3(A),f3(B))| -p2(A,B).
% 1.62/1.81 ** KEPT (pick-wt=9): 10 [] p10(A,B)| -p10(C,A)| -p10(C,B).
% 1.62/1.81 ** KEPT (pick-wt=9): 11 [] p8(A,B)| -p8(C,A)| -p8(C,B).
% 1.62/1.81 ** KEPT (pick-wt=9): 12 [] p5(A,B)| -p5(C,A)| -p5(C,B).
% 1.62/1.81 ** KEPT (pick-wt=9): 13 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 1.62/1.81 ** KEPT (pick-wt=9): 14 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.62/1.81 ** KEPT (pick-wt=10): 15 [] p2(A,B)| -p2(f13(C,A),f13(D,B)).
% 1.62/1.81 ** KEPT (pick-wt=10): 16 [] p2(A,B)| -p2(f13(A,C),f13(B,D)).
% 1.62/1.81 ** KEPT (pick-wt=12): 17 [] p18(A,f6(c19))|p2(f14(A),c20)| -p18(A,f6(c25)).
% 1.62/1.81 ** KEPT (pick-wt=12): 18 [] p17(A,B)| -p2(C,A)| -p2(D,B)| -p17(C,D).
% 1.62/1.81 ** KEPT (pick-wt=12): 19 [] p18(A,B)| -p5(C,B)| -p8(D,A)| -p18(D,C).
% 1.62/1.81 ** KEPT (pick-wt=13): 20 [] p18(A,f6(c19))|p17(f3(c21),f15(A))| -p18(A,f6(c25)).
% 1.62/1.81 ** KEPT (pick-wt=13): 21 [] p8(f9(A,B),f9(C,D))| -p2(B,D)| -p2(A,C).
% 1.62/1.81 ** KEPT (pick-wt=13): 22 [] p2(f13(A,B),f13(C,D))| -p2(A,C)| -p2(B,D).
% 1.62/1.81 Following clause subsumed by 22 during input processing: 0 [] p2(f13(A,B),f13(C,D))| -p2(A,C)| -p2(B,D).
% 1.62/1.81 ** KEPT (pick-wt=13): 23 [] p4(f7(A,B),f7(C,D))| -p2(A,C)| -p4(B,D).
% 1.62/1.81 ** KEPT (pick-wt=13): 24 [] -p2(A,c20)| -p17(c21,B)| -p8(c24,f9(f13(A,B),C)).
% 1.69/1.89 ** KEPT (pick-wt=18): 25 [] p18(A,f6(c19))|p8(A,f9(f13(f14(A),f15(A)),f16(A)))| -p18(A,f6(c25)).
% 1.69/1.89 ** KEPT (pick-wt=21): 26 [] p18(A,f6(f7(c22,c23)))|p8(A,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))| -p18(A,f6(c19)).
% 1.69/1.89
% 1.69/1.89 ------------> process sos:
% 1.69/1.89 ** KEPT (pick-wt=3): 35 [] p10(A,A).
% 1.69/1.89 ** KEPT (pick-wt=3): 36 [] p8(A,A).
% 1.69/1.89 ** KEPT (pick-wt=3): 37 [] p5(A,A).
% 1.69/1.89 ** KEPT (pick-wt=3): 38 [] p4(A,A).
% 1.69/1.89 ** KEPT (pick-wt=3): 39 [] p2(A,A).
% 1.69/1.89 ** KEPT (pick-wt=3): 40 [] p17(A,A).
% 1.69/1.89 ** KEPT (pick-wt=4): 41 [] p18(c24,f6(c25)).
% 1.69/1.89 35 back subsumes 27.
% 1.69/1.89 36 back subsumes 28.
% 1.69/1.89 37 back subsumes 29.
% 1.69/1.89 38 back subsumes 30.
% 1.69/1.89 39 back subsumes 31.
% 1.69/1.89 40 back subsumes 32.
% 1.69/1.89
% 1.69/1.89 ======= end of input processing =======
% 1.69/1.89
% 1.69/1.89 =========== start of search ===========
% 1.69/1.89
% 1.69/1.89 -------- PROOF --------
% 1.69/1.89
% 1.69/1.89 -----> EMPTY CLAUSE at 0.08 sec ----> 782 [hyper,781,24,39,40] $F.
% 1.69/1.89
% 1.69/1.89 Length of proof is 8. Level of proof is 6.
% 1.69/1.89
% 1.69/1.89 ---------------- PROOF ----------------
% 1.69/1.89 % SZS status Unsatisfiable
% 1.69/1.89 % SZS output start Refutation
% See solution above
% 1.69/1.89 ------------ end of proof -------------
% 1.69/1.89
% 1.69/1.89
% 1.69/1.89 Search stopped by max_proofs option.
% 1.69/1.89
% 1.69/1.89
% 1.69/1.89 Search stopped by max_proofs option.
% 1.69/1.89
% 1.69/1.89 ============ end of search ============
% 1.69/1.89
% 1.69/1.89 -------------- statistics -------------
% 1.69/1.89 clauses given 70
% 1.69/1.89 clauses generated 1142
% 1.69/1.89 clauses kept 781
% 1.69/1.89 clauses forward subsumed 394
% 1.69/1.89 clauses back subsumed 731
% 1.69/1.89 Kbytes malloced 2929
% 1.69/1.89
% 1.69/1.89 ----------- times (seconds) -----------
% 1.69/1.89 user CPU time 0.08 (0 hr, 0 min, 0 sec)
% 1.69/1.89 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.69/1.89 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.69/1.89
% 1.69/1.89 That finishes the proof of the theorem.
% 1.69/1.89
% 1.69/1.89 Process 9534 finished Wed Jul 27 11:20:22 2022
% 1.69/1.89 Otter interrupted
% 1.69/1.89 PROOF FOUND
%------------------------------------------------------------------------------