TSTP Solution File: SYN564-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN564-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n013.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 13:24:55 EDT 2022
% Result : Unsatisfiable 1.87s 2.07s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 17 ( 12 unt; 0 nHn; 7 RR)
% Number of literals : 26 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( p2(f5(A),f5(B))
| ~ p4(A,B) ),
file('SYN564-1.p',unknown),
[] ).
cnf(4,axiom,
( p4(A,B)
| ~ p4(C,A)
| ~ p4(C,B) ),
file('SYN564-1.p',unknown),
[] ).
cnf(5,axiom,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
file('SYN564-1.p',unknown),
[] ).
cnf(7,axiom,
( p10(f9(A,B),C)
| ~ p10(A,f3(C,B)) ),
file('SYN564-1.p',unknown),
[] ).
cnf(8,axiom,
( p10(A,B)
| ~ p2(C,A)
| ~ p2(D,B)
| ~ p10(C,D) ),
file('SYN564-1.p',unknown),
[] ).
cnf(11,axiom,
( p2(f9(A,B),f9(C,D))
| ~ p2(A,C)
| ~ p2(B,D) ),
file('SYN564-1.p',unknown),
[] ).
cnf(13,axiom,
p2(A,A),
file('SYN564-1.p',unknown),
[] ).
cnf(14,axiom,
p4(A,A),
file('SYN564-1.p',unknown),
[] ).
cnf(15,axiom,
p2(f5(f7(A)),f5(A)),
file('SYN564-1.p',unknown),
[] ).
cnf(16,axiom,
p4(f8(A,B),f6(A,f7(B))),
file('SYN564-1.p',unknown),
[] ).
cnf(18,axiom,
p10(f5(A),f3(f5(f6(A,B)),f5(B))),
file('SYN564-1.p',unknown),
[] ).
cnf(20,plain,
p2(f9(A,f5(f7(B))),f9(A,f5(B))),
inference(hyper,[status(thm)],[15,11,13]),
[iquote('hyper,15,11,13')] ).
cnf(60,plain,
p4(f6(A,f7(B)),f8(A,B)),
inference(hyper,[status(thm)],[16,4,14]),
[iquote('hyper,16,4,14')] ).
cnf(154,plain,
p10(f9(f5(A),f5(B)),f5(f6(A,B))),
inference(hyper,[status(thm)],[18,7]),
[iquote('hyper,18,7')] ).
cnf(170,plain,
p2(f5(f6(A,f7(B))),f5(f8(A,B))),
inference(hyper,[status(thm)],[60,1]),
[iquote('hyper,60,1')] ).
cnf(2186,plain,
p10(f9(f5(A),f5(B)),f5(f8(A,B))),
inference(hyper,[status(thm)],[170,8,20,154]),
[iquote('hyper,170,8,20,154')] ).
cnf(2187,plain,
$false,
inference(binary,[status(thm)],[2186,5]),
[iquote('binary,2186.1,5.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN564-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n013.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 11:07:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.87/2.07 ----- Otter 3.3f, August 2004 -----
% 1.87/2.07 The process was started by sandbox2 on n013.cluster.edu,
% 1.87/2.07 Wed Jul 27 11:07:15 2022
% 1.87/2.07 The command was "./otter". The process ID is 28428.
% 1.87/2.07
% 1.87/2.07 set(prolog_style_variables).
% 1.87/2.07 set(auto).
% 1.87/2.07 dependent: set(auto1).
% 1.87/2.07 dependent: set(process_input).
% 1.87/2.07 dependent: clear(print_kept).
% 1.87/2.07 dependent: clear(print_new_demod).
% 1.87/2.07 dependent: clear(print_back_demod).
% 1.87/2.07 dependent: clear(print_back_sub).
% 1.87/2.07 dependent: set(control_memory).
% 1.87/2.07 dependent: assign(max_mem, 12000).
% 1.87/2.07 dependent: assign(pick_given_ratio, 4).
% 1.87/2.07 dependent: assign(stats_level, 1).
% 1.87/2.07 dependent: assign(max_seconds, 10800).
% 1.87/2.07 clear(print_given).
% 1.87/2.07
% 1.87/2.07 list(usable).
% 1.87/2.07 0 [] p2(X9,X9).
% 1.87/2.07 0 [] p4(X23,X23).
% 1.87/2.07 0 [] p2(f5(f7(X18)),f5(X18)).
% 1.87/2.07 0 [] p4(f8(X38,X39),f6(X38,f7(X39))).
% 1.87/2.07 0 [] p4(f7(f8(X32,X33)),f8(X33,X32)).
% 1.87/2.07 0 [] p2(f5(X16),f5(X17))| -p4(X16,X17).
% 1.87/2.07 0 [] p4(f7(X30),f7(X31))| -p4(X30,X31).
% 1.87/2.07 0 [] p2(X10,X11)| -p2(X9,X10)| -p2(X9,X11).
% 1.87/2.07 0 [] p4(X24,X25)| -p4(X23,X24)| -p4(X23,X25).
% 1.87/2.07 0 [] p10(f5(X7),f3(f5(f6(X7,X8)),f5(X8))).
% 1.87/2.07 0 [] -p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))).
% 1.87/2.07 0 [] p10(X4,f3(X5,X6))| -p10(f9(X4,X6),X5).
% 1.87/2.07 0 [] p10(f9(X4,X6),X5)| -p10(X4,f3(X5,X6)).
% 1.87/2.07 0 [] p10(X0,X1)| -p2(X2,X0)| -p2(X3,X1)| -p10(X2,X3).
% 1.87/2.07 0 [] p4(f8(X34,X35),f8(X36,X37))| -p4(X34,X36)| -p4(X35,X37).
% 1.87/2.07 0 [] p2(f3(X12,X13),f3(X14,X15))| -p2(X12,X14)| -p2(X13,X15).
% 1.87/2.07 0 [] p2(f9(X19,X20),f9(X21,X22))| -p2(X19,X21)| -p2(X20,X22).
% 1.87/2.07 0 [] p4(f6(X26,X27),f6(X28,X29))| -p4(X26,X28)| -p4(X27,X29).
% 1.87/2.07 end_of_list.
% 1.87/2.07
% 1.87/2.07 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.87/2.07
% 1.87/2.07 This is a Horn set without equality. The strategy will
% 1.87/2.07 be hyperresolution, with satellites in sos and nuclei
% 1.87/2.07 in usable.
% 1.87/2.07
% 1.87/2.07 dependent: set(hyper_res).
% 1.87/2.07 dependent: clear(order_hyper).
% 1.87/2.07
% 1.87/2.07 ------------> process usable:
% 1.87/2.07 ** KEPT (pick-wt=8): 1 [] p2(f5(A),f5(B))| -p4(A,B).
% 1.87/2.07 ** KEPT (pick-wt=8): 2 [] p4(f7(A),f7(B))| -p4(A,B).
% 1.87/2.07 ** KEPT (pick-wt=9): 3 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.87/2.07 ** KEPT (pick-wt=9): 4 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 1.87/2.07 ** KEPT (pick-wt=10): 5 [] -p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))).
% 1.87/2.07 ** KEPT (pick-wt=10): 6 [] p10(A,f3(B,C))| -p10(f9(A,C),B).
% 1.87/2.07 ** KEPT (pick-wt=10): 7 [] p10(f9(A,B),C)| -p10(A,f3(C,B)).
% 1.87/2.07 ** KEPT (pick-wt=12): 8 [] p10(A,B)| -p2(C,A)| -p2(D,B)| -p10(C,D).
% 1.87/2.07 ** KEPT (pick-wt=13): 9 [] p4(f8(A,B),f8(C,D))| -p4(A,C)| -p4(B,D).
% 1.87/2.07 ** KEPT (pick-wt=13): 10 [] p2(f3(A,B),f3(C,D))| -p2(A,C)| -p2(B,D).
% 1.87/2.07 ** KEPT (pick-wt=13): 11 [] p2(f9(A,B),f9(C,D))| -p2(A,C)| -p2(B,D).
% 1.87/2.07 ** KEPT (pick-wt=13): 12 [] p4(f6(A,B),f6(C,D))| -p4(A,C)| -p4(B,D).
% 1.87/2.07
% 1.87/2.07 ------------> process sos:
% 1.87/2.07 ** KEPT (pick-wt=3): 13 [] p2(A,A).
% 1.87/2.07 ** KEPT (pick-wt=3): 14 [] p4(A,A).
% 1.87/2.07 ** KEPT (pick-wt=6): 15 [] p2(f5(f7(A)),f5(A)).
% 1.87/2.07 ** KEPT (pick-wt=8): 16 [] p4(f8(A,B),f6(A,f7(B))).
% 1.87/2.07 ** KEPT (pick-wt=8): 17 [] p4(f7(f8(A,B)),f8(B,A)).
% 1.87/2.07 ** KEPT (pick-wt=10): 18 [] p10(f5(A),f3(f5(f6(A,B)),f5(B))).
% 1.87/2.07
% 1.87/2.07 ======= end of input processing =======
% 1.87/2.07
% 1.87/2.07 =========== start of search ===========
% 1.87/2.07
% 1.87/2.07 -------- PROOF --------
% 1.87/2.07
% 1.87/2.07 ----> UNIT CONFLICT at 0.05 sec ----> 2187 [binary,2186.1,5.1] $F.
% 1.87/2.07
% 1.87/2.07 Length of proof is 5. Level of proof is 3.
% 1.87/2.07
% 1.87/2.07 ---------------- PROOF ----------------
% 1.87/2.07 % SZS status Unsatisfiable
% 1.87/2.07 % SZS output start Refutation
% See solution above
% 1.87/2.07 ------------ end of proof -------------
% 1.87/2.07
% 1.87/2.07
% 1.87/2.07 Search stopped by max_proofs option.
% 1.87/2.07
% 1.87/2.07
% 1.87/2.07 Search stopped by max_proofs option.
% 1.87/2.07
% 1.87/2.07 ============ end of search ============
% 1.87/2.07
% 1.87/2.07 -------------- statistics -------------
% 1.87/2.07 clauses given 43
% 1.87/2.07 clauses generated 2591
% 1.87/2.07 clauses kept 2186
% 1.87/2.07 clauses forward subsumed 423
% 1.87/2.07 clauses back subsumed 0
% 1.87/2.07 Kbytes malloced 2929
% 1.87/2.07
% 1.87/2.07 ----------- times (seconds) -----------
% 1.87/2.07 user CPU time 0.05 (0 hr, 0 min, 0 sec)
% 1.87/2.07 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.87/2.07 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.87/2.07
% 1.87/2.07 That finishes the proof of the theorem.
% 1.87/2.07
% 1.87/2.07 Process 28428 finished Wed Jul 27 11:07:16 2022
% 1.87/2.07 Otter interrupted
% 1.87/2.07 PROOF FOUND
%------------------------------------------------------------------------------