%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYO613-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 13:26:25 EDT 2022
% Result : Unsatisfiable 1.71s 1.93s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 26 ( 0 equ; 23 neg)
% Maximal clause size : 23 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ e_q(f(A),a0)
| ~ e_q(f(B),a0)
| ~ e_q(f(C),a0)
| ~ e_q(f(D),a0)
| ~ e_q(f(E),a0)
| ~ e_q(f(F),a0)
| ~ e_q(f(G),a0)
| ~ e_q(f(H),a0)
| ~ e_q(f(I),a0)
| ~ e_q(f(J),a0)
| ~ e_q(f(K),a0)
| ~ e_q(f(L),a0)
| ~ le(s(A),B)
| ~ le(s(B),C)
| ~ le(s(C),D)
| ~ le(s(D),E)
| ~ le(s(E),F)
| ~ le(s(F),G)
| ~ le(s(G),H)
| ~ le(s(H),I)
| ~ le(s(I),J)
| ~ le(s(J),K)
| ~ le(s(K),L) ),
file('SYO613-1.p',unknown),
[] ).
cnf(4,axiom,
le(A,A),
file('SYO613-1.p',unknown),
[] ).
cnf(5,axiom,
e_q(f(A),a0),
file('SYO613-1.p',unknown),
[] ).
cnf(8,plain,
$false,
inference(hyper,[status(thm)],[5,3,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4]),
[iquote('hyper,5,3,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO613-1 : TPTP v8.1.0. Released v7.1.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 10:06:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.71/1.92 ----- Otter 3.3f, August 2004 -----
% 1.71/1.92 The process was started by sandbox on n004.cluster.edu,
% 1.71/1.92 Wed Jul 27 10:06:21 2022
% 1.71/1.92 The command was "./otter". The process ID is 22175.
% 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 [] le(A,A).
% 1.71/1.92 0 [] -le(max(A,B),C)|le(A,C).
% 1.71/1.92 0 [] -le(max(A,B),C)|le(B,C).
% 1.71/1.92 0 [] e_q(f(A),a0).
% 1.71/1.92 0 [] -e_q(f(A0),a0)| -e_q(f(A1),a0)| -e_q(f(A2),a0)| -e_q(f(A3),a0)| -e_q(f(A4),a0)| -e_q(f(A5),a0)| -e_q(f(A6),a0)| -e_q(f(A7),a0)| -e_q(f(A8),a0)| -e_q(f(A9),a0)| -e_q(f(A10),a0)| -e_q(f(A11),a0)| -le(s(A0),A1)| -le(s(A1),A2)| -le(s(A2),A3)| -le(s(A3),A4)| -le(s(A4),A5)| -le(s(A5),A6)| -le(s(A6),A7)| -le(s(A7),A8)| -le(s(A8),A9)| -le(s(A9),A10)| -le(s(A10),A11).
% 1.71/1.93 end_of_list.
% 1.71/1.93
% 1.71/1.93 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=23.
% 1.71/1.93
% 1.71/1.93 This is a Horn set without equality. The strategy will
% 1.71/1.93 be hyperresolution, with satellites in sos and nuclei
% 1.71/1.93 in usable.
% 1.71/1.93
% 1.71/1.93 dependent: set(hyper_res).
% 1.71/1.93 dependent: clear(order_hyper).
% 1.71/1.93
% 1.71/1.93 ------------> process usable:
% 1.71/1.93 ** KEPT (pick-wt=8): 1 [] -le(max(A,B),C)|le(A,C).
% 1.71/1.93 ** KEPT (pick-wt=8): 2 [] -le(max(A,B),C)|le(B,C).
% 1.71/1.93 ** KEPT (pick-wt=92): 3 [] -e_q(f(A),a0)| -e_q(f(B),a0)| -e_q(f(C),a0)| -e_q(f(D),a0)| -e_q(f(E),a0)| -e_q(f(F),a0)| -e_q(f(G),a0)| -e_q(f(H),a0)| -e_q(f(I),a0)| -e_q(f(J),a0)| -e_q(f(K),a0)| -e_q(f(L),a0)| -le(s(A),B)| -le(s(B),C)| -le(s(C),D)| -le(s(D),E)| -le(s(E),F)| -le(s(F),G)| -le(s(G),H)| -le(s(H),I)| -le(s(I),J)| -le(s(J),K)| -le(s(K),L).
% 1.71/1.93
% 1.71/1.93 ------------> process sos:
% 1.71/1.93 ** KEPT (pick-wt=3): 4 [] le(A,A).
% 1.71/1.93 ** KEPT (pick-wt=4): 5 [] e_q(f(A),a0).
% 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 -----> EMPTY CLAUSE at 0.00 sec ----> 8 [hyper,5,3,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4] $F.
% 1.71/1.93
% 1.71/1.93 Length of proof is 0. Level of proof is 0.
% 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 2
% 1.71/1.93 clauses generated 3
% 1.71/1.93 clauses kept 7
% 1.71/1.93 clauses forward subsumed 0
% 1.71/1.93 clauses back subsumed 0
% 1.71/1.93 Kbytes malloced 976
% 1.71/1.93
% 1.71/1.93 ----------- times (seconds) -----------
% 1.71/1.93 user CPU time 0.00 (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 22175 finished Wed Jul 27 10:06:22 2022
% 1.71/1.93 Otter interrupted
% 1.71/1.93 PROOF FOUND
%------------------------------------------------------------------------------