TSTP Solution File: SYN590-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN590-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.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 1.71s 1.92s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 18 RR)
% Number of literals : 30 ( 0 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( p11(f9(A))
| ~ p11(A) ),
file('SYN590-1.p',unknown),
[] ).
cnf(3,axiom,
( p12(A,B)
| ~ p10(f6(A),f6(B)) ),
file('SYN590-1.p',unknown),
[] ).
cnf(10,axiom,
( p3(f4(A),f6(f8(A)))
| ~ p11(A) ),
file('SYN590-1.p',unknown),
[] ).
cnf(11,axiom,
( p10(f4(f9(A)),f4(A))
| ~ p11(A) ),
file('SYN590-1.p',unknown),
[] ).
cnf(15,axiom,
( p3(A,B)
| ~ p3(C,A)
| ~ p3(C,B) ),
file('SYN590-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ p11(A)
| ~ p12(B,c15)
| ~ p3(f4(A),f6(B)) ),
file('SYN590-1.p',unknown),
[] ).
cnf(17,axiom,
( p10(A,B)
| ~ p3(C,A)
| ~ p3(D,B)
| ~ p10(C,D) ),
file('SYN590-1.p',unknown),
[] ).
cnf(21,axiom,
p11(c16),
file('SYN590-1.p',unknown),
[] ).
cnf(24,axiom,
p3(A,A),
file('SYN590-1.p',unknown),
[] ).
cnf(26,axiom,
p3(f4(c16),f6(c15)),
file('SYN590-1.p',unknown),
[] ).
cnf(36,plain,
p10(f4(f9(c16)),f4(c16)),
inference(hyper,[status(thm)],[21,11]),
[iquote('hyper,21,11')] ).
cnf(37,plain,
p3(f4(c16),f6(f8(c16))),
inference(hyper,[status(thm)],[21,10]),
[iquote('hyper,21,10')] ).
cnf(38,plain,
p11(f9(c16)),
inference(hyper,[status(thm)],[21,1]),
[iquote('hyper,21,1')] ).
cnf(49,plain,
p3(f4(f9(c16)),f6(f8(f9(c16)))),
inference(hyper,[status(thm)],[38,10]),
[iquote('hyper,38,10')] ).
cnf(89,plain,
p10(f4(f9(c16)),f6(f8(c16))),
inference(hyper,[status(thm)],[37,17,24,36]),
[iquote('hyper,37,17,24,36')] ).
cnf(92,plain,
p3(f6(f8(c16)),f6(c15)),
inference(hyper,[status(thm)],[37,15,26]),
[iquote('hyper,37,15,26')] ).
cnf(137,plain,
p10(f6(f8(f9(c16))),f6(c15)),
inference(hyper,[status(thm)],[49,17,92,89]),
[iquote('hyper,49,17,92,89')] ).
cnf(141,plain,
p12(f8(f9(c16)),c15),
inference(hyper,[status(thm)],[137,3]),
[iquote('hyper,137,3')] ).
cnf(142,plain,
$false,
inference(hyper,[status(thm)],[141,16,38,49]),
[iquote('hyper,141,16,38,49')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN590-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n008.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 11:09:53 EDT 2022
% 0.19/0.34 % CPUTime :
% 1.71/1.92 ----- Otter 3.3f, August 2004 -----
% 1.71/1.92 The process was started by sandbox2 on n008.cluster.edu,
% 1.71/1.92 Wed Jul 27 11:09:53 2022
% 1.71/1.92 The command was "./otter". The process ID is 10654.
% 1.71/1.92
% 1.71/1.92 set(prolog_style_variables).
% 1.71/1.92 set(auto).
% 1.71/1.92 dependent: set(auto1).
% 1.71/1.92 dependent: set(process_input).
% 1.71/1.92 dependent: clear(print_kept).
% 1.71/1.92 dependent: clear(print_new_demod).
% 1.71/1.92 dependent: clear(print_back_demod).
% 1.71/1.92 dependent: clear(print_back_sub).
% 1.71/1.92 dependent: set(control_memory).
% 1.71/1.92 dependent: assign(max_mem, 12000).
% 1.71/1.92 dependent: assign(pick_given_ratio, 4).
% 1.71/1.92 dependent: assign(stats_level, 1).
% 1.71/1.92 dependent: assign(max_seconds, 10800).
% 1.71/1.92 clear(print_given).
% 1.71/1.92
% 1.71/1.92 list(usable).
% 1.71/1.92 0 [] p11(c14).
% 1.71/1.92 0 [] p11(c17).
% 1.71/1.92 0 [] p11(c16).
% 1.71/1.92 0 [] p5(X27,X27).
% 1.71/1.92 0 [] p2(X14,X14).
% 1.71/1.92 0 [] p3(X19,X19).
% 1.71/1.92 0 [] p3(f4(c17),f6(c18)).
% 1.71/1.92 0 [] p3(f4(c16),f6(c15)).
% 1.71/1.92 0 [] p11(f9(X4))| -p11(X4).
% 1.71/1.92 0 [] p11(X8)| -p11(X9)| -p2(X9,X8).
% 1.71/1.92 0 [] p12(X5,X6)| -p10(f6(X5),f6(X6)).
% 1.71/1.92 0 [] p5(f8(X32),f8(X33))| -p2(X32,X33).
% 1.71/1.92 0 [] p10(f6(X5),f6(X6))| -p12(X5,X6).
% 1.71/1.92 0 [] p2(f9(X17),f9(X18))| -p2(X17,X18).
% 1.71/1.92 0 [] p3(f4(X22),f4(X23))| -p2(X22,X23).
% 1.71/1.92 0 [] p3(f6(X25),f6(X26))| -p5(X25,X26).
% 1.71/1.92 0 [] p5(f7(X30),f7(X31))| -p5(X30,X31).
% 1.71/1.92 0 [] p3(f4(X24),f6(f8(X24)))| -p11(X24).
% 1.71/1.92 0 [] p10(f4(f9(X4)),f4(X4))| -p11(X4).
% 1.71/1.92 0 [] p10(f6(f7(c13)),f4(X7))| -p11(X7).
% 1.71/1.92 0 [] p10(f6(f7(c13)),f4(X4))| -p11(X4).
% 1.71/1.92 0 [] p5(X28,X29)| -p5(X27,X28)| -p5(X27,X29).
% 1.71/1.92 0 [] p2(X15,X16)| -p2(X14,X15)| -p2(X14,X16).
% 1.71/1.92 0 [] p3(X20,X21)| -p3(X19,X20)| -p3(X19,X21).
% 1.71/1.92 0 [] -p11(X34)| -p12(X35,c15)| -p3(f4(X34),f6(X35)).
% 1.71/1.92 0 [] p10(X0,X1)| -p3(X2,X0)| -p3(X3,X1)| -p10(X2,X3).
% 1.71/1.92 0 [] p12(X10,X11)| -p5(X12,X10)| -p5(X13,X11)| -p12(X12,X13).
% 1.71/1.92 end_of_list.
% 1.71/1.92
% 1.71/1.92 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.71/1.92
% 1.71/1.92 This is a Horn set without equality. The strategy will
% 1.71/1.92 be hyperresolution, with satellites in sos and nuclei
% 1.71/1.92 in usable.
% 1.71/1.92
% 1.71/1.92 dependent: set(hyper_res).
% 1.71/1.92 dependent: clear(order_hyper).
% 1.71/1.92
% 1.71/1.92 ------------> process usable:
% 1.71/1.92 ** KEPT (pick-wt=5): 1 [] p11(f9(A))| -p11(A).
% 1.71/1.92 ** KEPT (pick-wt=7): 2 [] p11(A)| -p11(B)| -p2(B,A).
% 1.71/1.92 ** KEPT (pick-wt=8): 3 [] p12(A,B)| -p10(f6(A),f6(B)).
% 1.71/1.92 ** KEPT (pick-wt=8): 4 [] p5(f8(A),f8(B))| -p2(A,B).
% 1.71/1.92 ** KEPT (pick-wt=8): 5 [] p10(f6(A),f6(B))| -p12(A,B).
% 1.71/1.92 ** KEPT (pick-wt=8): 6 [] p2(f9(A),f9(B))| -p2(A,B).
% 1.71/1.92 ** KEPT (pick-wt=8): 7 [] p3(f4(A),f4(B))| -p2(A,B).
% 1.71/1.92 ** KEPT (pick-wt=8): 8 [] p3(f6(A),f6(B))| -p5(A,B).
% 1.71/1.92 ** KEPT (pick-wt=8): 9 [] p5(f7(A),f7(B))| -p5(A,B).
% 1.71/1.92 ** KEPT (pick-wt=8): 10 [] p3(f4(A),f6(f8(A)))| -p11(A).
% 1.71/1.92 ** KEPT (pick-wt=8): 11 [] p10(f4(f9(A)),f4(A))| -p11(A).
% 1.71/1.92 ** KEPT (pick-wt=8): 12 [] p10(f6(f7(c13)),f4(A))| -p11(A).
% 1.71/1.92 Following clause subsumed by 12 during input processing: 0 [] p10(f6(f7(c13)),f4(A))| -p11(A).
% 1.71/1.92 ** KEPT (pick-wt=9): 13 [] p5(A,B)| -p5(C,A)| -p5(C,B).
% 1.71/1.92 ** KEPT (pick-wt=9): 14 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.71/1.92 ** KEPT (pick-wt=9): 15 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.71/1.92 ** KEPT (pick-wt=10): 16 [] -p11(A)| -p12(B,c15)| -p3(f4(A),f6(B)).
% 1.71/1.92 ** KEPT (pick-wt=12): 17 [] p10(A,B)| -p3(C,A)| -p3(D,B)| -p10(C,D).
% 1.71/1.92 ** KEPT (pick-wt=12): 18 [] p12(A,B)| -p5(C,A)| -p5(D,B)| -p12(C,D).
% 1.71/1.92
% 1.71/1.92 ------------> process sos:
% 1.71/1.92 ** KEPT (pick-wt=2): 19 [] p11(c14).
% 1.71/1.92 ** KEPT (pick-wt=2): 20 [] p11(c17).
% 1.71/1.92 ** KEPT (pick-wt=2): 21 [] p11(c16).
% 1.71/1.92 ** KEPT (pick-wt=3): 22 [] p5(A,A).
% 1.71/1.92 ** KEPT (pick-wt=3): 23 [] p2(A,A).
% 1.71/1.92 ** KEPT (pick-wt=3): 24 [] p3(A,A).
% 1.71/1.92 ** KEPT (pick-wt=5): 25 [] p3(f4(c17),f6(c18)).
% 1.71/1.92 ** KEPT (pick-wt=5): 26 [] p3(f4(c16),f6(c15)).
% 1.71/1.92
% 1.71/1.92 ======= end of input processing =======
% 1.71/1.92
% 1.71/1.92 =========== start of search ===========
% 1.71/1.92
% 1.71/1.92 -------- PROOF --------
% 1.71/1.92
% 1.71/1.92 -----> EMPTY CLAUSE at 0.01 sec ----> 142 [hyper,141,16,38,49] $F.
% 1.71/1.92
% 1.71/1.92 Length of proof is 8. Level of proof is 4.
% 1.71/1.92
% 1.71/1.92 ---------------- PROOF ----------------
% 1.71/1.92 % SZS status Unsatisfiable
% 1.71/1.92 % SZS output start Refutation
% See solution above
% 1.71/1.92 ------------ end of proof -------------
% 1.71/1.92
% 1.71/1.92
% 1.71/1.92 Search stopped by max_proofs option.
% 1.71/1.92
% 1.71/1.92
% 1.71/1.92 Search stopped by max_proofs option.
% 1.71/1.92
% 1.71/1.92 ============ end of search ============
% 1.71/1.92
% 1.71/1.92 -------------- statistics -------------
% 1.71/1.92 clauses given 73
% 1.71/1.92 clauses generated 295
% 1.71/1.92 clauses kept 141
% 1.71/1.92 clauses forward subsumed 180
% 1.71/1.92 clauses back subsumed 0
% 1.71/1.92 Kbytes malloced 976
% 1.71/1.92
% 1.71/1.92 ----------- times (seconds) -----------
% 1.71/1.92 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.71/1.92 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.71/1.92 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.71/1.92
% 1.71/1.92 That finishes the proof of the theorem.
% 1.71/1.92
% 1.71/1.92 Process 10654 finished Wed Jul 27 11:09:55 2022
% 1.71/1.92 Otter interrupted
% 1.71/1.92 PROOF FOUND
%------------------------------------------------------------------------------