%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYO611-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 1.60s 1.82s
% Output : Refutation 1.60s
% 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 : 6 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 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 : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ e_q(f(A),a0)
| ~ e_q(f(B),a0)
| ~ le(s(A),B) ),
file('SYO611-1.p',unknown),
[] ).
cnf(4,axiom,
le(A,A),
file('SYO611-1.p',unknown),
[] ).
cnf(5,axiom,
e_q(f(A),a0),
file('SYO611-1.p',unknown),
[] ).
cnf(8,plain,
$false,
inference(hyper,[status(thm)],[5,3,5,4]),
[iquote('hyper,5,3,5,4')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO611-1 : TPTP v8.1.0. Released v7.1.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n029.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 10:27:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.60/1.82 ----- Otter 3.3f, August 2004 -----
% 1.60/1.82 The process was started by sandbox on n029.cluster.edu,
% 1.60/1.82 Wed Jul 27 10:27:29 2022
% 1.60/1.82 The command was "./otter". The process ID is 19749.
% 1.60/1.82
% 1.60/1.82 set(prolog_style_variables).
% 1.60/1.82 set(auto).
% 1.60/1.82 dependent: set(auto1).
% 1.60/1.82 dependent: set(process_input).
% 1.60/1.82 dependent: clear(print_kept).
% 1.60/1.82 dependent: clear(print_new_demod).
% 1.60/1.82 dependent: clear(print_back_demod).
% 1.60/1.82 dependent: clear(print_back_sub).
% 1.60/1.82 dependent: set(control_memory).
% 1.60/1.82 dependent: assign(max_mem, 12000).
% 1.60/1.82 dependent: assign(pick_given_ratio, 4).
% 1.60/1.82 dependent: assign(stats_level, 1).
% 1.60/1.82 dependent: assign(max_seconds, 10800).
% 1.60/1.82 clear(print_given).
% 1.60/1.82
% 1.60/1.82 list(usable).
% 1.60/1.82 0 [] le(A,A).
% 1.60/1.82 0 [] -le(max(A,B),C)|le(A,C).
% 1.60/1.82 0 [] -le(max(A,B),C)|le(B,C).
% 1.60/1.82 0 [] e_q(f(A),a0).
% 1.60/1.82 0 [] -e_q(f(A0),a0)| -e_q(f(A1),a0)| -le(s(A0),A1).
% 1.60/1.82 end_of_list.
% 1.60/1.82
% 1.60/1.82 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.60/1.82
% 1.60/1.82 This is a Horn set without equality. The strategy will
% 1.60/1.82 be hyperresolution, with satellites in sos and nuclei
% 1.60/1.82 in usable.
% 1.60/1.82
% 1.60/1.82 dependent: set(hyper_res).
% 1.60/1.82 dependent: clear(order_hyper).
% 1.60/1.82
% 1.60/1.82 ------------> process usable:
% 1.60/1.82 ** KEPT (pick-wt=8): 1 [] -le(max(A,B),C)|le(A,C).
% 1.60/1.82 ** KEPT (pick-wt=8): 2 [] -le(max(A,B),C)|le(B,C).
% 1.60/1.82 ** KEPT (pick-wt=12): 3 [] -e_q(f(A),a0)| -e_q(f(B),a0)| -le(s(A),B).
% 1.60/1.82
% 1.60/1.82 ------------> process sos:
% 1.60/1.82 ** KEPT (pick-wt=3): 4 [] le(A,A).
% 1.60/1.82 ** KEPT (pick-wt=4): 5 [] e_q(f(A),a0).
% 1.60/1.82
% 1.60/1.82 ======= end of input processing =======
% 1.60/1.82
% 1.60/1.82 =========== start of search ===========
% 1.60/1.82
% 1.60/1.82 -------- PROOF --------
% 1.60/1.82
% 1.60/1.82 -----> EMPTY CLAUSE at 0.00 sec ----> 8 [hyper,5,3,5,4] $F.
% 1.60/1.82
% 1.60/1.82 Length of proof is 0. Level of proof is 0.
% 1.60/1.82
% 1.60/1.82 ---------------- PROOF ----------------
% 1.60/1.82 % SZS status Unsatisfiable
% 1.60/1.82 % SZS output start Refutation
% See solution above
% 1.60/1.82 ------------ end of proof -------------
% 1.60/1.82
% 1.60/1.82
% 1.60/1.82 Search stopped by max_proofs option.
% 1.60/1.82
% 1.60/1.82
% 1.60/1.82 Search stopped by max_proofs option.
% 1.60/1.82
% 1.60/1.82 ============ end of search ============
% 1.60/1.82
% 1.60/1.82 -------------- statistics -------------
% 1.60/1.82 clauses given 2
% 1.60/1.82 clauses generated 3
% 1.60/1.82 clauses kept 7
% 1.60/1.82 clauses forward subsumed 0
% 1.60/1.82 clauses back subsumed 0
% 1.60/1.82 Kbytes malloced 976
% 1.60/1.82
% 1.60/1.82 ----------- times (seconds) -----------
% 1.60/1.82 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.60/1.82 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.60/1.82 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.60/1.82
% 1.60/1.82 That finishes the proof of the theorem.
% 1.60/1.82
% 1.60/1.82 Process 19749 finished Wed Jul 27 10:27:31 2022
% 1.60/1.82 Otter interrupted
% 1.60/1.82 PROOF FOUND
%------------------------------------------------------------------------------