TSTP Solution File: LAT034-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LAT034-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 13:01:50 EDT 2022
% Result : Unsatisfiable 1.91s 2.10s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% Number of literals : 5 ( 4 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 5 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
meet(xx,xx) != xx,
file('LAT034-1.p',unknown),
[] ).
cnf(3,axiom,
meet(A,join(A,B)) = A,
file('LAT034-1.p',unknown),
[] ).
cnf(5,axiom,
join(A,meet(A,B)) = A,
file('LAT034-1.p',unknown),
[] ).
cnf(15,plain,
meet(A,A) = A,
inference(para_from,[status(thm),theory(equality)],[5,3]),
[iquote('para_from,5.1.1,3.1.1.2')] ).
cnf(17,plain,
$false,
inference(binary,[status(thm)],[15,1]),
[iquote('binary,15.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT034-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.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 08:54:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.91/2.10 ----- Otter 3.3f, August 2004 -----
% 1.91/2.10 The process was started by sandbox on n023.cluster.edu,
% 1.91/2.10 Wed Jul 27 08:54:33 2022
% 1.91/2.10 The command was "./otter". The process ID is 29748.
% 1.91/2.10
% 1.91/2.10 set(prolog_style_variables).
% 1.91/2.10 set(auto).
% 1.91/2.10 dependent: set(auto1).
% 1.91/2.10 dependent: set(process_input).
% 1.91/2.10 dependent: clear(print_kept).
% 1.91/2.10 dependent: clear(print_new_demod).
% 1.91/2.10 dependent: clear(print_back_demod).
% 1.91/2.10 dependent: clear(print_back_sub).
% 1.91/2.10 dependent: set(control_memory).
% 1.91/2.10 dependent: assign(max_mem, 12000).
% 1.91/2.10 dependent: assign(pick_given_ratio, 4).
% 1.91/2.10 dependent: assign(stats_level, 1).
% 1.91/2.10 dependent: assign(max_seconds, 10800).
% 1.91/2.10 clear(print_given).
% 1.91/2.10
% 1.91/2.10 list(usable).
% 1.91/2.10 0 [] A=A.
% 1.91/2.10 0 [] meet(X,join(X,Y))=X.
% 1.91/2.10 0 [] join(X,meet(X,Y))=X.
% 1.91/2.10 0 [] meet(X,Y)=meet(Y,X).
% 1.91/2.10 0 [] join(X,Y)=join(Y,X).
% 1.91/2.10 0 [] meet(meet(X,Y),Z)=meet(X,meet(Y,Z)).
% 1.91/2.10 0 [] join(join(X,Y),Z)=join(X,join(Y,Z)).
% 1.91/2.10 0 [] meet(xx,xx)!=xx.
% 1.91/2.10 end_of_list.
% 1.91/2.10
% 1.91/2.10 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.91/2.10
% 1.91/2.10 All clauses are units, and equality is present; the
% 1.91/2.10 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.91/2.10
% 1.91/2.10 dependent: set(knuth_bendix).
% 1.91/2.10 dependent: set(anl_eq).
% 1.91/2.10 dependent: set(para_from).
% 1.91/2.10 dependent: set(para_into).
% 1.91/2.10 dependent: clear(para_from_right).
% 1.91/2.10 dependent: clear(para_into_right).
% 1.91/2.10 dependent: set(para_from_vars).
% 1.91/2.10 dependent: set(eq_units_both_ways).
% 1.91/2.10 dependent: set(dynamic_demod_all).
% 1.91/2.10 dependent: set(dynamic_demod).
% 1.91/2.10 dependent: set(order_eq).
% 1.91/2.10 dependent: set(back_demod).
% 1.91/2.10 dependent: set(lrpo).
% 1.91/2.10
% 1.91/2.10 ------------> process usable:
% 1.91/2.10 ** KEPT (pick-wt=5): 1 [] meet(xx,xx)!=xx.
% 1.91/2.10
% 1.91/2.10 ------------> process sos:
% 1.91/2.10 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.91/2.10 ** KEPT (pick-wt=7): 3 [] meet(A,join(A,B))=A.
% 1.91/2.10 ---> New Demodulator: 4 [new_demod,3] meet(A,join(A,B))=A.
% 1.91/2.10 ** KEPT (pick-wt=7): 5 [] join(A,meet(A,B))=A.
% 1.91/2.10 ---> New Demodulator: 6 [new_demod,5] join(A,meet(A,B))=A.
% 1.91/2.10 ** KEPT (pick-wt=7): 7 [] meet(A,B)=meet(B,A).
% 1.91/2.10 ** KEPT (pick-wt=7): 8 [] join(A,B)=join(B,A).
% 1.91/2.10 ** KEPT (pick-wt=11): 9 [] meet(meet(A,B),C)=meet(A,meet(B,C)).
% 1.91/2.10 ---> New Demodulator: 10 [new_demod,9] meet(meet(A,B),C)=meet(A,meet(B,C)).
% 1.91/2.10 ** KEPT (pick-wt=11): 11 [] join(join(A,B),C)=join(A,join(B,C)).
% 1.91/2.10 ---> New Demodulator: 12 [new_demod,11] join(join(A,B),C)=join(A,join(B,C)).
% 1.91/2.10 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.91/2.10 >>>> Starting back demodulation with 4.
% 1.91/2.10 >>>> Starting back demodulation with 6.
% 1.91/2.10 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] meet(A,B)=meet(B,A).
% 1.91/2.10 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] join(A,B)=join(B,A).
% 1.91/2.10 >>>> Starting back demodulation with 10.
% 1.91/2.10 >>>> Starting back demodulation with 12.
% 1.91/2.10
% 1.91/2.10 ======= end of input processing =======
% 1.91/2.10
% 1.91/2.10 =========== start of search ===========
% 1.91/2.10
% 1.91/2.10 -------- PROOF --------
% 1.91/2.10
% 1.91/2.10 ----> UNIT CONFLICT at 0.00 sec ----> 17 [binary,15.1,1.1] $F.
% 1.91/2.10
% 1.91/2.10 Length of proof is 1. Level of proof is 1.
% 1.91/2.10
% 1.91/2.10 ---------------- PROOF ----------------
% 1.91/2.10 % SZS status Unsatisfiable
% 1.91/2.10 % SZS output start Refutation
% See solution above
% 1.91/2.10 ------------ end of proof -------------
% 1.91/2.10
% 1.91/2.10
% 1.91/2.10 Search stopped by max_proofs option.
% 1.91/2.10
% 1.91/2.10
% 1.91/2.10 Search stopped by max_proofs option.
% 1.91/2.10
% 1.91/2.10 ============ end of search ============
% 1.91/2.10
% 1.91/2.10 -------------- statistics -------------
% 1.91/2.10 clauses given 3
% 1.91/2.10 clauses generated 6
% 1.91/2.10 clauses kept 10
% 1.91/2.10 clauses forward subsumed 7
% 1.91/2.10 clauses back subsumed 0
% 1.91/2.10 Kbytes malloced 976
% 1.91/2.10
% 1.91/2.10 ----------- times (seconds) -----------
% 1.91/2.10 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.91/2.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.91/2.10 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.91/2.10
% 1.91/2.10 That finishes the proof of the theorem.
% 1.91/2.10
% 1.91/2.10 Process 29748 finished Wed Jul 27 08:54:34 2022
% 1.91/2.10 Otter interrupted
% 1.91/2.10 PROOF FOUND
%------------------------------------------------------------------------------