%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN566-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.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 1.65s 1.86s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 16 ( 12 unt; 0 nHn; 13 RR)
% Number of literals : 24 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( p3(f4(A),f4(B))
| ~ p2(A,B) ),
file('SYN566-1.p',unknown),
[] ).
cnf(8,axiom,
( p8(A,f4(f5(B)))
| ~ p8(A,f4(f6(B))) ),
file('SYN566-1.p',unknown),
[] ).
cnf(10,axiom,
( p8(A,B)
| ~ p7(C,A)
| ~ p8(C,D)
| ~ p3(D,B) ),
file('SYN566-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ p10(A,c11)
| ~ p8(c12,B)
| ~ p3(B,f4(C))
| ~ p2(C,f5(A)) ),
file('SYN566-1.p',unknown),
[] ).
cnf(13,axiom,
p2(A,A),
file('SYN566-1.p',unknown),
[] ).
cnf(14,axiom,
p3(A,A),
file('SYN566-1.p',unknown),
[] ).
cnf(15,axiom,
p7(A,A),
file('SYN566-1.p',unknown),
[] ).
cnf(16,axiom,
p10(c15,c11),
file('SYN566-1.p',unknown),
[] ).
cnf(17,axiom,
p8(c12,c13),
file('SYN566-1.p',unknown),
[] ).
cnf(18,axiom,
p2(c14,f6(c15)),
file('SYN566-1.p',unknown),
[] ).
cnf(19,axiom,
p3(c13,f4(c14)),
file('SYN566-1.p',unknown),
[] ).
cnf(23,plain,
p3(f4(c14),f4(f6(c15))),
inference(hyper,[status(thm)],[18,1]),
[iquote('hyper,18,1')] ).
cnf(24,plain,
p8(c12,f4(c14)),
inference(hyper,[status(thm)],[19,10,15,17]),
[iquote('hyper,19,10,15,17')] ).
cnf(35,plain,
p8(c12,f4(f6(c15))),
inference(hyper,[status(thm)],[23,10,15,24]),
[iquote('hyper,23,10,15,24')] ).
cnf(38,plain,
p8(c12,f4(f5(c15))),
inference(hyper,[status(thm)],[35,8]),
[iquote('hyper,35,8')] ).
cnf(42,plain,
$false,
inference(hyper,[status(thm)],[38,11,16,14,13]),
[iquote('hyper,38,11,16,14,13')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN566-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n028.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 11:05:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.65/1.86 ----- Otter 3.3f, August 2004 -----
% 1.65/1.86 The process was started by sandbox on n028.cluster.edu,
% 1.65/1.86 Wed Jul 27 11:05:49 2022
% 1.65/1.86 The command was "./otter". The process ID is 28501.
% 1.65/1.86
% 1.65/1.86 set(prolog_style_variables).
% 1.65/1.86 set(auto).
% 1.65/1.86 dependent: set(auto1).
% 1.65/1.86 dependent: set(process_input).
% 1.65/1.86 dependent: clear(print_kept).
% 1.65/1.86 dependent: clear(print_new_demod).
% 1.65/1.86 dependent: clear(print_back_demod).
% 1.65/1.86 dependent: clear(print_back_sub).
% 1.65/1.86 dependent: set(control_memory).
% 1.65/1.86 dependent: assign(max_mem, 12000).
% 1.65/1.86 dependent: assign(pick_given_ratio, 4).
% 1.65/1.86 dependent: assign(stats_level, 1).
% 1.65/1.86 dependent: assign(max_seconds, 10800).
% 1.65/1.86 clear(print_given).
% 1.65/1.86
% 1.65/1.86 list(usable).
% 1.65/1.86 0 [] p9(X25,X25).
% 1.65/1.86 0 [] p2(X4,X4).
% 1.65/1.86 0 [] p3(X11,X11).
% 1.65/1.86 0 [] p7(X16,X16).
% 1.65/1.86 0 [] p10(c15,c11).
% 1.65/1.86 0 [] p8(c12,c13).
% 1.65/1.86 0 [] p2(c14,f6(c15)).
% 1.65/1.86 0 [] p3(c13,f4(c14)).
% 1.65/1.86 0 [] p3(f4(X14),f4(X15))| -p2(X14,X15).
% 1.65/1.86 0 [] p2(f5(X7),f5(X8))| -p2(X7,X8).
% 1.65/1.86 0 [] p2(f6(X9),f6(X10))| -p2(X9,X10).
% 1.65/1.86 0 [] p9(X26,X27)| -p9(X25,X26)| -p9(X25,X27).
% 1.65/1.86 0 [] p2(X5,X6)| -p2(X4,X5)| -p2(X4,X6).
% 1.65/1.86 0 [] p3(X12,X13)| -p3(X11,X12)| -p3(X11,X13).
% 1.65/1.86 0 [] p7(X17,X18)| -p7(X16,X17)| -p7(X16,X18).
% 1.65/1.86 0 [] p8(X19,f4(f5(X20)))| -p8(X19,f4(f6(X20))).
% 1.65/1.86 0 [] p10(X0,X1)| -p2(X2,X0)| -p9(X3,X1)| -p10(X2,X3).
% 1.65/1.86 0 [] p8(X21,X22)| -p7(X24,X21)| -p8(X24,X23)| -p3(X23,X22).
% 1.65/1.86 0 [] -p10(X28,c11)| -p8(c12,X30)| -p3(X30,f4(X29))| -p2(X29,f5(X28)).
% 1.65/1.86 end_of_list.
% 1.65/1.86
% 1.65/1.86 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.65/1.86
% 1.65/1.86 This is a Horn set without equality. The strategy will
% 1.65/1.86 be hyperresolution, with satellites in sos and nuclei
% 1.65/1.86 in usable.
% 1.65/1.86
% 1.65/1.86 dependent: set(hyper_res).
% 1.65/1.86 dependent: clear(order_hyper).
% 1.65/1.86
% 1.65/1.86 ------------> process usable:
% 1.65/1.86 ** KEPT (pick-wt=8): 1 [] p3(f4(A),f4(B))| -p2(A,B).
% 1.65/1.86 ** KEPT (pick-wt=8): 2 [] p2(f5(A),f5(B))| -p2(A,B).
% 1.65/1.86 ** KEPT (pick-wt=8): 3 [] p2(f6(A),f6(B))| -p2(A,B).
% 1.65/1.86 ** KEPT (pick-wt=9): 4 [] p9(A,B)| -p9(C,A)| -p9(C,B).
% 1.65/1.86 ** KEPT (pick-wt=9): 5 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.65/1.86 ** KEPT (pick-wt=9): 6 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.65/1.86 ** KEPT (pick-wt=9): 7 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 1.65/1.86 ** KEPT (pick-wt=10): 8 [] p8(A,f4(f5(B)))| -p8(A,f4(f6(B))).
% 1.65/1.86 ** KEPT (pick-wt=12): 9 [] p10(A,B)| -p2(C,A)| -p9(D,B)| -p10(C,D).
% 1.65/1.86 ** KEPT (pick-wt=12): 10 [] p8(A,B)| -p7(C,A)| -p8(C,D)| -p3(D,B).
% 1.65/1.86 ** KEPT (pick-wt=14): 11 [] -p10(A,c11)| -p8(c12,B)| -p3(B,f4(C))| -p2(C,f5(A)).
% 1.65/1.86
% 1.65/1.86 ------------> process sos:
% 1.65/1.86 ** KEPT (pick-wt=3): 12 [] p9(A,A).
% 1.65/1.86 ** KEPT (pick-wt=3): 13 [] p2(A,A).
% 1.65/1.86 ** KEPT (pick-wt=3): 14 [] p3(A,A).
% 1.65/1.86 ** KEPT (pick-wt=3): 15 [] p7(A,A).
% 1.65/1.86 ** KEPT (pick-wt=3): 16 [] p10(c15,c11).
% 1.65/1.86 ** KEPT (pick-wt=3): 17 [] p8(c12,c13).
% 1.65/1.86 ** KEPT (pick-wt=4): 18 [] p2(c14,f6(c15)).
% 1.65/1.86 ** KEPT (pick-wt=4): 19 [] p3(c13,f4(c14)).
% 1.65/1.86
% 1.65/1.86 ======= end of input processing =======
% 1.65/1.86
% 1.65/1.86 =========== start of search ===========
% 1.65/1.86
% 1.65/1.86 -------- PROOF --------
% 1.65/1.86
% 1.65/1.86 -----> EMPTY CLAUSE at 0.00 sec ----> 42 [hyper,38,11,16,14,13] $F.
% 1.65/1.86
% 1.65/1.86 Length of proof is 4. Level of proof is 3.
% 1.65/1.86
% 1.65/1.86 ---------------- PROOF ----------------
% 1.65/1.86 % SZS status Unsatisfiable
% 1.65/1.86 % SZS output start Refutation
% See solution above
% 1.65/1.86 ------------ end of proof -------------
% 1.65/1.86
% 1.65/1.86
% 1.65/1.86 Search stopped by max_proofs option.
% 1.65/1.86
% 1.65/1.86
% 1.65/1.86 Search stopped by max_proofs option.
% 1.65/1.86
% 1.65/1.86 ============ end of search ============
% 1.65/1.86
% 1.65/1.86 -------------- statistics -------------
% 1.65/1.86 clauses given 19
% 1.65/1.86 clauses generated 81
% 1.65/1.86 clauses kept 41
% 1.65/1.86 clauses forward subsumed 58
% 1.65/1.86 clauses back subsumed 0
% 1.65/1.86 Kbytes malloced 976
% 1.65/1.86
% 1.65/1.86 ----------- times (seconds) -----------
% 1.65/1.86 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.86 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.86 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.65/1.86
% 1.65/1.86 That finishes the proof of the theorem.
% 1.65/1.86
% 1.65/1.86 Process 28501 finished Wed Jul 27 11:05:50 2022
% 1.65/1.86 Otter interrupted
% 1.65/1.86 PROOF FOUND
%------------------------------------------------------------------------------