TSTP Solution File: HEN001-3 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : HEN001-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 12:57:53 EDT 2022
% Result : Unsatisfiable 1.70s 1.91s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 3 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ less_e_qual(A,B)
| divide(A,B) = zero ),
file('HEN001-3.p',unknown),
[] ).
cnf(4,axiom,
divide(a,identity) != zero,
file('HEN001-3.p',unknown),
[] ).
cnf(9,axiom,
less_e_qual(A,identity),
file('HEN001-3.p',unknown),
[] ).
cnf(13,plain,
divide(A,identity) = zero,
inference(hyper,[status(thm)],[9,1]),
[iquote('hyper,9,1')] ).
cnf(15,plain,
$false,
inference(binary,[status(thm)],[13,4]),
[iquote('binary,13.1,4.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : HEN001-3 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.11 % Command : otter-tptp-script %s
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jul 27 09:20:22 EDT 2022
% 0.11/0.32 % CPUTime :
% 1.70/1.91 ----- Otter 3.3f, August 2004 -----
% 1.70/1.91 The process was started by sandbox2 on n016.cluster.edu,
% 1.70/1.91 Wed Jul 27 09:20:22 2022
% 1.70/1.91 The command was "./otter". The process ID is 12271.
% 1.70/1.91
% 1.70/1.91 set(prolog_style_variables).
% 1.70/1.91 set(auto).
% 1.70/1.91 dependent: set(auto1).
% 1.70/1.91 dependent: set(process_input).
% 1.70/1.91 dependent: clear(print_kept).
% 1.70/1.91 dependent: clear(print_new_demod).
% 1.70/1.91 dependent: clear(print_back_demod).
% 1.70/1.91 dependent: clear(print_back_sub).
% 1.70/1.91 dependent: set(control_memory).
% 1.70/1.91 dependent: assign(max_mem, 12000).
% 1.70/1.91 dependent: assign(pick_given_ratio, 4).
% 1.70/1.91 dependent: assign(stats_level, 1).
% 1.70/1.91 dependent: assign(max_seconds, 10800).
% 1.70/1.91 clear(print_given).
% 1.70/1.91
% 1.70/1.91 list(usable).
% 1.70/1.91 0 [] A=A.
% 1.70/1.91 0 [] -less_e_qual(X,Y)|divide(X,Y)=zero.
% 1.70/1.91 0 [] divide(X,Y)!=zero|less_e_qual(X,Y).
% 1.70/1.91 0 [] less_e_qual(divide(X,Y),X).
% 1.70/1.91 0 [] less_e_qual(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)).
% 1.70/1.91 0 [] less_e_qual(zero,X).
% 1.70/1.91 0 [] -less_e_qual(X,Y)| -less_e_qual(Y,X)|X=Y.
% 1.70/1.91 0 [] less_e_qual(X,identity).
% 1.70/1.91 0 [] divide(a,identity)!=zero.
% 1.70/1.91 end_of_list.
% 1.70/1.91
% 1.70/1.91 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 1.70/1.91
% 1.70/1.91 This is a Horn set with equality. The strategy will be
% 1.70/1.91 Knuth-Bendix and hyper_res, with positive clauses in
% 1.70/1.91 sos and nonpositive clauses in usable.
% 1.70/1.91
% 1.70/1.91 dependent: set(knuth_bendix).
% 1.70/1.91 dependent: set(anl_eq).
% 1.70/1.91 dependent: set(para_from).
% 1.70/1.91 dependent: set(para_into).
% 1.70/1.91 dependent: clear(para_from_right).
% 1.70/1.91 dependent: clear(para_into_right).
% 1.70/1.91 dependent: set(para_from_vars).
% 1.70/1.91 dependent: set(eq_units_both_ways).
% 1.70/1.91 dependent: set(dynamic_demod_all).
% 1.70/1.91 dependent: set(dynamic_demod).
% 1.70/1.91 dependent: set(order_eq).
% 1.70/1.91 dependent: set(back_demod).
% 1.70/1.91 dependent: set(lrpo).
% 1.70/1.91 dependent: set(hyper_res).
% 1.70/1.91 dependent: clear(order_hyper).
% 1.70/1.91
% 1.70/1.91 ------------> process usable:
% 1.70/1.91 ** KEPT (pick-wt=8): 1 [] -less_e_qual(A,B)|divide(A,B)=zero.
% 1.70/1.91 ** KEPT (pick-wt=8): 2 [] divide(A,B)!=zero|less_e_qual(A,B).
% 1.70/1.91 ** KEPT (pick-wt=9): 3 [] -less_e_qual(A,B)| -less_e_qual(B,A)|A=B.
% 1.70/1.91 ** KEPT (pick-wt=5): 4 [] divide(a,identity)!=zero.
% 1.70/1.91
% 1.70/1.91 ------------> process sos:
% 1.70/1.91 ** KEPT (pick-wt=3): 5 [] A=A.
% 1.70/1.91 ** KEPT (pick-wt=5): 6 [] less_e_qual(divide(A,B),A).
% 1.70/1.91 ** KEPT (pick-wt=13): 7 [] less_e_qual(divide(divide(A,B),divide(C,B)),divide(divide(A,C),B)).
% 1.70/1.91 ** KEPT (pick-wt=3): 8 [] less_e_qual(zero,A).
% 1.70/1.91 ** KEPT (pick-wt=3): 9 [] less_e_qual(A,identity).
% 1.70/1.91 Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] A=A.
% 1.70/1.91
% 1.70/1.91 ======= end of input processing =======
% 1.70/1.91
% 1.70/1.91 =========== start of search ===========
% 1.70/1.91
% 1.70/1.91 -------- PROOF --------
% 1.70/1.91
% 1.70/1.91 ----> UNIT CONFLICT at 0.00 sec ----> 15 [binary,13.1,4.1] $F.
% 1.70/1.91
% 1.70/1.91 Length of proof is 1. Level of proof is 1.
% 1.70/1.91
% 1.70/1.91 ---------------- PROOF ----------------
% 1.70/1.91 % SZS status Unsatisfiable
% 1.70/1.91 % SZS output start Refutation
% See solution above
% 1.70/1.91 ------------ end of proof -------------
% 1.70/1.91
% 1.70/1.91
% 1.70/1.91 Search stopped by max_proofs option.
% 1.70/1.91
% 1.70/1.91
% 1.70/1.91 Search stopped by max_proofs option.
% 1.70/1.91
% 1.70/1.91 ============ end of search ============
% 1.70/1.91
% 1.70/1.91 -------------- statistics -------------
% 1.70/1.91 clauses given 3
% 1.70/1.91 clauses generated 7
% 1.70/1.91 clauses kept 12
% 1.70/1.91 clauses forward subsumed 5
% 1.70/1.91 clauses back subsumed 0
% 1.70/1.91 Kbytes malloced 976
% 1.70/1.91
% 1.70/1.91 ----------- times (seconds) -----------
% 1.70/1.91 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.91 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.70/1.91
% 1.70/1.91 That finishes the proof of the theorem.
% 1.70/1.91
% 1.70/1.91 Process 12271 finished Wed Jul 27 09:20:24 2022
% 1.70/1.91 Otter interrupted
% 1.70/1.91 PROOF FOUND
%------------------------------------------------------------------------------