%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN582-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.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 13:24:57 EDT 2022
% Result : Unsatisfiable 1.71s 1.93s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 18 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p11(f4(f6(c15,c18)),c16),
file('SYN582-1.p',unknown),
[] ).
cnf(6,axiom,
( p2(f4(A),f4(B))
| ~ p2(A,B) ),
file('SYN582-1.p',unknown),
[] ).
cnf(13,axiom,
( p11(A,B)
| ~ p2(C,A)
| ~ p2(D,B)
| ~ p11(C,D) ),
file('SYN582-1.p',unknown),
[] ).
cnf(15,axiom,
( p2(f6(A,B),f6(C,D))
| ~ p2(B,D)
| ~ p5(A,C) ),
file('SYN582-1.p',unknown),
[] ).
cnf(25,axiom,
p2(A,A),
file('SYN582-1.p',unknown),
[] ).
cnf(26,axiom,
p5(A,A),
file('SYN582-1.p',unknown),
[] ).
cnf(28,axiom,
p2(c13,c18),
file('SYN582-1.p',unknown),
[] ).
cnf(30,axiom,
p11(f4(f6(c15,c13)),c16),
file('SYN582-1.p',unknown),
[] ).
cnf(34,plain,
p2(f6(A,c13),f6(A,c18)),
inference(hyper,[status(thm)],[28,15,26]),
[iquote('hyper,28,15,26')] ).
cnf(83,plain,
p2(f4(f6(A,c13)),f4(f6(A,c18))),
inference(hyper,[status(thm)],[34,6]),
[iquote('hyper,34,6')] ).
cnf(204,plain,
p11(f4(f6(c15,c18)),c16),
inference(hyper,[status(thm)],[83,13,25,30]),
[iquote('hyper,83,13,25,30')] ).
cnf(205,plain,
$false,
inference(binary,[status(thm)],[204,1]),
[iquote('binary,204.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN582-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.12/0.32 % Computer : n010.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Jul 27 11:07:39 EDT 2022
% 0.12/0.32 % CPUTime :
% 1.71/1.93 ----- Otter 3.3f, August 2004 -----
% 1.71/1.93 The process was started by sandbox2 on n010.cluster.edu,
% 1.71/1.93 Wed Jul 27 11:07:40 2022
% 1.71/1.93 The command was "./otter". The process ID is 28028.
% 1.71/1.93
% 1.71/1.93 set(prolog_style_variables).
% 1.71/1.93 set(auto).
% 1.71/1.93 dependent: set(auto1).
% 1.71/1.93 dependent: set(process_input).
% 1.71/1.93 dependent: clear(print_kept).
% 1.71/1.93 dependent: clear(print_new_demod).
% 1.71/1.93 dependent: clear(print_back_demod).
% 1.71/1.93 dependent: clear(print_back_sub).
% 1.71/1.93 dependent: set(control_memory).
% 1.71/1.93 dependent: assign(max_mem, 12000).
% 1.71/1.93 dependent: assign(pick_given_ratio, 4).
% 1.71/1.93 dependent: assign(stats_level, 1).
% 1.71/1.93 dependent: assign(max_seconds, 10800).
% 1.71/1.93 clear(print_given).
% 1.71/1.93
% 1.71/1.93 list(usable).
% 1.71/1.93 0 [] p7(X34,X34).
% 1.71/1.93 0 [] p2(X18,X18).
% 1.71/1.93 0 [] p5(X31,X31).
% 1.71/1.93 0 [] p12(c18,c14).
% 1.71/1.93 0 [] p2(c13,c18).
% 1.71/1.93 0 [] p2(f3(c18),f8(f9(c17))).
% 1.71/1.93 0 [] p11(f4(f6(c15,c13)),c16).
% 1.71/1.93 0 [] p11(f4(f6(c15,c14)),c16).
% 1.71/1.93 0 [] -p11(f4(f6(c15,c18)),c16).
% 1.71/1.93 0 [] p11(X11,X12)| -p12(X11,X12).
% 1.71/1.93 0 [] p11(X11,X12)| -p2(X11,X12).
% 1.71/1.93 0 [] p7(f9(X37),f9(X38))| -p7(X37,X38).
% 1.71/1.93 0 [] p2(f3(X21),f3(X22))| -p2(X21,X22).
% 1.71/1.93 0 [] p2(f4(X23),f4(X24))| -p2(X23,X24).
% 1.71/1.93 0 [] p2(f8(X29),f8(X30))| -p7(X29,X30).
% 1.71/1.93 0 [] p12(X11,X12)|p2(X11,X12)| -p11(X11,X12).
% 1.71/1.93 0 [] p7(X35,X36)| -p7(X34,X35)| -p7(X34,X36).
% 1.71/1.93 0 [] p2(X19,X20)| -p2(X18,X19)| -p2(X18,X20).
% 1.71/1.93 0 [] p5(X32,X33)| -p5(X31,X32)| -p5(X31,X33).
% 1.71/1.93 0 [] p10(c15,f3(X6),X6)| -p11(X6,c14)| -p11(c13,X6).
% 1.71/1.93 0 [] p11(X7,X8)| -p2(X9,X7)| -p2(X10,X8)| -p11(X9,X10).
% 1.71/1.93 0 [] p12(X14,X15)| -p2(X16,X14)| -p2(X17,X15)| -p12(X16,X17).
% 1.71/1.93 0 [] p2(f6(X25,X26),f6(X27,X28))| -p2(X26,X28)| -p5(X25,X27).
% 1.71/1.93 0 [] p10(X0,X1,X2)| -p5(X3,X0)| -p2(X5,X2)| -p2(X4,X1)| -p10(X3,X4,X5).
% 1.71/1.93 0 [] p11(f4(f6(c15,X13)),c16)| -p12(X13,c14)| -p12(c13,X13)| -p2(f3(X13),f8(f9(c17))).
% 1.71/1.93 end_of_list.
% 1.71/1.93
% 1.71/1.93 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 1.71/1.93
% 1.71/1.93 This is a non-Horn set without equality. The strategy will
% 1.71/1.93 be ordered hyper_res, unit deletion, and factoring, with
% 1.71/1.93 satellites in sos and with nuclei in usable.
% 1.71/1.93
% 1.71/1.93 dependent: set(hyper_res).
% 1.71/1.93 dependent: set(factor).
% 1.71/1.93 dependent: set(unit_deletion).
% 1.71/1.93
% 1.71/1.93 ------------> process usable:
% 1.71/1.93 ** KEPT (pick-wt=6): 1 [] -p11(f4(f6(c15,c18)),c16).
% 1.71/1.93 ** KEPT (pick-wt=6): 2 [] p11(A,B)| -p12(A,B).
% 1.71/1.93 ** KEPT (pick-wt=6): 3 [] p11(A,B)| -p2(A,B).
% 1.71/1.93 ** KEPT (pick-wt=8): 4 [] p7(f9(A),f9(B))| -p7(A,B).
% 1.71/1.93 ** KEPT (pick-wt=8): 5 [] p2(f3(A),f3(B))| -p2(A,B).
% 1.71/1.93 ** KEPT (pick-wt=8): 6 [] p2(f4(A),f4(B))| -p2(A,B).
% 1.71/1.93 ** KEPT (pick-wt=8): 7 [] p2(f8(A),f8(B))| -p7(A,B).
% 1.71/1.93 ** KEPT (pick-wt=9): 8 [] p12(A,B)|p2(A,B)| -p11(A,B).
% 1.71/1.93 ** KEPT (pick-wt=9): 9 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 1.71/1.93 ** KEPT (pick-wt=9): 10 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.71/1.93 ** KEPT (pick-wt=9): 11 [] p5(A,B)| -p5(C,A)| -p5(C,B).
% 1.71/1.93 ** KEPT (pick-wt=11): 12 [] p10(c15,f3(A),A)| -p11(A,c14)| -p11(c13,A).
% 1.71/1.93 ** KEPT (pick-wt=12): 13 [] p11(A,B)| -p2(C,A)| -p2(D,B)| -p11(C,D).
% 1.71/1.93 ** KEPT (pick-wt=12): 14 [] p12(A,B)| -p2(C,A)| -p2(D,B)| -p12(C,D).
% 1.71/1.93 ** KEPT (pick-wt=13): 15 [] p2(f6(A,B),f6(C,D))| -p2(B,D)| -p5(A,C).
% 1.71/1.93 ** KEPT (pick-wt=17): 16 [] p10(A,B,C)| -p5(D,A)| -p2(E,C)| -p2(F,B)| -p10(D,F,E).
% 1.71/1.93 ** KEPT (pick-wt=18): 17 [] p11(f4(f6(c15,A)),c16)| -p12(A,c14)| -p12(c13,A)| -p2(f3(A),f8(f9(c17))).
% 1.71/1.93
% 1.71/1.93 ------------> process sos:
% 1.71/1.93 ** KEPT (pick-wt=3): 24 [] p7(A,A).
% 1.71/1.93 ** KEPT (pick-wt=3): 25 [] p2(A,A).
% 1.71/1.93 ** KEPT (pick-wt=3): 26 [] p5(A,A).
% 1.71/1.93 ** KEPT (pick-wt=3): 27 [] p12(c18,c14).
% 1.71/1.93 ** KEPT (pick-wt=3): 28 [] p2(c13,c18).
% 1.71/1.93 ** KEPT (pick-wt=6): 29 [] p2(f3(c18),f8(f9(c17))).
% 1.71/1.93 ** KEPT (pick-wt=6): 30 [] p11(f4(f6(c15,c13)),c16).
% 1.71/1.93 ** KEPT (pick-wt=6): 31 [] p11(f4(f6(c15,c14)),c16).
% 1.71/1.93 24 back subsumes 18.
% 1.71/1.93 25 back subsumes 19.
% 1.71/1.93 26 back subsumes 20.
% 1.71/1.93
% 1.71/1.93 ======= end of input processing =======
% 1.71/1.93
% 1.71/1.93 =========== start of search ===========
% 1.71/1.93
% 1.71/1.93 -------- PROOF --------
% 1.71/1.93
% 1.71/1.93 ----> UNIT CONFLICT at 0.02 sec ----> 205 [binary,204.1,1.1] $F.
% 1.71/1.93
% 1.71/1.93 Length of proof is 3. Level of proof is 3.
% 1.71/1.93
% 1.71/1.93 ---------------- PROOF ----------------
% 1.71/1.93 % SZS status Unsatisfiable
% 1.71/1.93 % SZS output start Refutation
% See solution above
% 1.71/1.93 ------------ end of proof -------------
% 1.71/1.93
% 1.71/1.93
% 1.71/1.93 Search stopped by max_proofs option.
% 1.71/1.93
% 1.71/1.93
% 1.71/1.93 Search stopped by max_proofs option.
% 1.71/1.93
% 1.71/1.93 ============ end of search ============
% 1.71/1.93
% 1.71/1.93 -------------- statistics -------------
% 1.71/1.93 clauses given 81
% 1.71/1.93 clauses generated 776
% 1.71/1.93 clauses kept 204
% 1.71/1.93 clauses forward subsumed 597
% 1.71/1.93 clauses back subsumed 4
% 1.71/1.93 Kbytes malloced 1953
% 1.71/1.93
% 1.71/1.93 ----------- times (seconds) -----------
% 1.71/1.93 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 1.71/1.93 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.71/1.93 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.71/1.93
% 1.71/1.93 That finishes the proof of the theorem.
% 1.71/1.93
% 1.71/1.93 Process 28028 finished Wed Jul 27 11:07:41 2022
% 1.71/1.93 Otter interrupted
% 1.71/1.93 PROOF FOUND
%------------------------------------------------------------------------------