TSTP Solution File: SYN561-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN561-1 : 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 1.73s 1.92s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 10 unt; 0 nHn; 11 RR)
% Number of literals : 17 ( 0 equ; 6 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 : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( p2(A,B)
| ~ p2(C,A)
| ~ p2(C,B) ),
file('SYN561-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ p9(A,c10)
| ~ p8(c11,A)
| ~ p2(f7(c10,A),B)
| ~ p2(f6(B,c11),f3(f4(f5(c12)),c13)) ),
file('SYN561-1.p',unknown),
[] ).
cnf(10,axiom,
p2(A,A),
file('SYN561-1.p',unknown),
[] ).
cnf(11,axiom,
p9(c14,c10),
file('SYN561-1.p',unknown),
[] ).
cnf(12,axiom,
p8(c11,c14),
file('SYN561-1.p',unknown),
[] ).
cnf(13,axiom,
p2(f7(c10,c14),c15),
file('SYN561-1.p',unknown),
[] ).
cnf(14,axiom,
p2(f6(c15,c11),c16),
file('SYN561-1.p',unknown),
[] ).
cnf(15,axiom,
p2(f3(f4(f5(c12)),c13),c16),
file('SYN561-1.p',unknown),
[] ).
cnf(43,plain,
p2(c16,f6(c15,c11)),
inference(hyper,[status(thm)],[14,3,10]),
[iquote('hyper,14,3,10')] ).
cnf(67,plain,
p2(c16,f3(f4(f5(c12)),c13)),
inference(hyper,[status(thm)],[15,3,10]),
[iquote('hyper,15,3,10')] ).
cnf(468,plain,
p2(f6(c15,c11),f3(f4(f5(c12)),c13)),
inference(hyper,[status(thm)],[67,3,43]),
[iquote('hyper,67,3,43')] ).
cnf(4582,plain,
$false,
inference(hyper,[status(thm)],[468,9,11,12,13]),
[iquote('hyper,468,9,11,12,13')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN561-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n019.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 11:00:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.73/1.92 ----- Otter 3.3f, August 2004 -----
% 1.73/1.92 The process was started by sandbox on n019.cluster.edu,
% 1.73/1.92 Wed Jul 27 11:00:22 2022
% 1.73/1.92 The command was "./otter". The process ID is 12980.
% 1.73/1.92
% 1.73/1.92 set(prolog_style_variables).
% 1.73/1.92 set(auto).
% 1.73/1.92 dependent: set(auto1).
% 1.73/1.92 dependent: set(process_input).
% 1.73/1.92 dependent: clear(print_kept).
% 1.73/1.92 dependent: clear(print_new_demod).
% 1.73/1.92 dependent: clear(print_back_demod).
% 1.73/1.92 dependent: clear(print_back_sub).
% 1.73/1.92 dependent: set(control_memory).
% 1.73/1.92 dependent: assign(max_mem, 12000).
% 1.73/1.92 dependent: assign(pick_given_ratio, 4).
% 1.73/1.92 dependent: assign(stats_level, 1).
% 1.73/1.92 dependent: assign(max_seconds, 10800).
% 1.73/1.92 clear(print_given).
% 1.73/1.92
% 1.73/1.92 list(usable).
% 1.73/1.92 0 [] p2(X0,X0).
% 1.73/1.92 0 [] p9(c14,c10).
% 1.73/1.92 0 [] p8(c11,c14).
% 1.73/1.92 0 [] p2(f7(c10,c14),c15).
% 1.73/1.92 0 [] p2(f6(c15,c11),c16).
% 1.73/1.92 0 [] p2(f3(f4(f5(c12)),c13),c16).
% 1.73/1.92 0 [] p2(f5(X9),f5(X10))| -p2(X9,X10).
% 1.73/1.92 0 [] p2(f4(X7),f4(X8))| -p2(X7,X8).
% 1.73/1.92 0 [] p2(X1,X2)| -p2(X0,X1)| -p2(X0,X2).
% 1.73/1.92 0 [] p9(X23,X24)| -p2(X26,X24)| -p9(X25,X26)| -p2(X25,X23).
% 1.73/1.92 0 [] p8(X19,X20)| -p2(X22,X20)| -p8(X21,X22)| -p2(X21,X19).
% 1.73/1.92 0 [] p2(f3(X3,X4),f3(X5,X6))| -p2(X3,X5)| -p2(X4,X6).
% 1.73/1.92 0 [] p2(f7(X15,X16),f7(X17,X18))| -p2(X15,X17)| -p2(X16,X18).
% 1.73/1.92 0 [] p2(f6(X11,X12),f6(X13,X14))| -p2(X12,X14)| -p2(X11,X13).
% 1.73/1.92 0 [] -p9(X28,c10)| -p8(c11,X28)| -p2(f7(c10,X28),X27)| -p2(f6(X27,c11),f3(f4(f5(c12)),c13)).
% 1.73/1.92 end_of_list.
% 1.73/1.92
% 1.73/1.92 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.73/1.92
% 1.73/1.92 This is a Horn set without equality. The strategy will
% 1.73/1.92 be hyperresolution, with satellites in sos and nuclei
% 1.73/1.92 in usable.
% 1.73/1.92
% 1.73/1.92 dependent: set(hyper_res).
% 1.73/1.92 dependent: clear(order_hyper).
% 1.73/1.92
% 1.73/1.92 ------------> process usable:
% 1.73/1.92 ** KEPT (pick-wt=8): 1 [] p2(f5(A),f5(B))| -p2(A,B).
% 1.73/1.92 ** KEPT (pick-wt=8): 2 [] p2(f4(A),f4(B))| -p2(A,B).
% 1.73/1.92 ** KEPT (pick-wt=9): 3 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.73/1.92 ** KEPT (pick-wt=12): 4 [] p9(A,B)| -p2(C,B)| -p9(D,C)| -p2(D,A).
% 1.73/1.92 ** KEPT (pick-wt=12): 5 [] p8(A,B)| -p2(C,B)| -p8(D,C)| -p2(D,A).
% 1.73/1.92 ** KEPT (pick-wt=13): 6 [] p2(f3(A,B),f3(C,D))| -p2(A,C)| -p2(B,D).
% 1.73/1.92 ** KEPT (pick-wt=13): 7 [] p2(f7(A,B),f7(C,D))| -p2(A,C)| -p2(B,D).
% 1.73/1.92 ** KEPT (pick-wt=13): 8 [] p2(f6(A,B),f6(C,D))| -p2(B,D)| -p2(A,C).
% 1.73/1.92 ** KEPT (pick-wt=20): 9 [] -p9(A,c10)| -p8(c11,A)| -p2(f7(c10,A),B)| -p2(f6(B,c11),f3(f4(f5(c12)),c13)).
% 1.73/1.92
% 1.73/1.92 ------------> process sos:
% 1.73/1.92 ** KEPT (pick-wt=3): 10 [] p2(A,A).
% 1.73/1.92 ** KEPT (pick-wt=3): 11 [] p9(c14,c10).
% 1.73/1.92 ** KEPT (pick-wt=3): 12 [] p8(c11,c14).
% 1.73/1.92 ** KEPT (pick-wt=5): 13 [] p2(f7(c10,c14),c15).
% 1.73/1.92 ** KEPT (pick-wt=5): 14 [] p2(f6(c15,c11),c16).
% 1.73/1.92 ** KEPT (pick-wt=7): 15 [] p2(f3(f4(f5(c12)),c13),c16).
% 1.73/1.92
% 1.73/1.92 ======= end of input processing =======
% 1.73/1.92
% 1.73/1.92 =========== start of search ===========
% 1.73/1.92
% 1.73/1.92
% 1.73/1.92 Resetting weight limit to 13.
% 1.73/1.92
% 1.73/1.92
% 1.73/1.92 Resetting weight limit to 13.
% 1.73/1.92
% 1.73/1.92 sos_size=4377
% 1.73/1.92
% 1.73/1.92 -------- PROOF --------
% 1.73/1.92
% 1.73/1.92 -----> EMPTY CLAUSE at 0.12 sec ----> 4582 [hyper,468,9,11,12,13] $F.
% 1.73/1.92
% 1.73/1.92 Length of proof is 3. Level of proof is 2.
% 1.73/1.92
% 1.73/1.92 ---------------- PROOF ----------------
% 1.73/1.92 % SZS status Unsatisfiable
% 1.73/1.92 % SZS output start Refutation
% See solution above
% 1.73/1.93 ------------ end of proof -------------
% 1.73/1.93
% 1.73/1.93
% 1.73/1.93 Search stopped by max_proofs option.
% 1.73/1.93
% 1.73/1.93
% 1.73/1.93 Search stopped by max_proofs option.
% 1.73/1.93
% 1.73/1.93 ============ end of search ============
% 1.73/1.93
% 1.73/1.93 -------------- statistics -------------
% 1.73/1.93 clauses given 64
% 1.73/1.93 clauses generated 11859
% 1.73/1.93 clauses kept 4581
% 1.73/1.93 clauses forward subsumed 500
% 1.73/1.93 clauses back subsumed 0
% 1.73/1.93 Kbytes malloced 5859
% 1.73/1.93
% 1.73/1.93 ----------- times (seconds) -----------
% 1.73/1.93 user CPU time 0.12 (0 hr, 0 min, 0 sec)
% 1.73/1.93 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.93 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.73/1.93
% 1.73/1.93 That finishes the proof of the theorem.
% 1.73/1.93
% 1.73/1.93 Process 12980 finished Wed Jul 27 11:00:23 2022
% 1.73/1.93 Otter interrupted
% 1.73/1.93 PROOF FOUND
%------------------------------------------------------------------------------