TSTP Solution File: SWV003-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:19:39 EDT 2022
% Result : Unsatisfiable 1.73s 1.94s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( less_than(A,B)
| ~ less_than(A,C)
| ~ less_than(C,B) ),
file('SWV003-1.p',unknown),
[] ).
cnf(9,axiom,
~ less_than(k,i),
file('SWV003-1.p',unknown),
[] ).
cnf(21,axiom,
less_than(k,j),
file('SWV003-1.p',unknown),
[] ).
cnf(24,axiom,
less_than(j,i),
file('SWV003-1.p',unknown),
[] ).
cnf(33,plain,
less_than(k,i),
inference(hyper,[status(thm)],[24,3,21]),
[iquote('hyper,24,3,21')] ).
cnf(34,plain,
$false,
inference(binary,[status(thm)],[33,9]),
[iquote('binary,33.1,9.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 06:09:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.73/1.94 ----- Otter 3.3f, August 2004 -----
% 1.73/1.94 The process was started by sandbox2 on n019.cluster.edu,
% 1.73/1.94 Wed Jul 27 06:09:07 2022
% 1.73/1.94 The command was "./otter". The process ID is 23654.
% 1.73/1.94
% 1.73/1.94 set(prolog_style_variables).
% 1.73/1.94 set(auto).
% 1.73/1.94 dependent: set(auto1).
% 1.73/1.94 dependent: set(process_input).
% 1.73/1.94 dependent: clear(print_kept).
% 1.73/1.94 dependent: clear(print_new_demod).
% 1.73/1.94 dependent: clear(print_back_demod).
% 1.73/1.94 dependent: clear(print_back_sub).
% 1.73/1.94 dependent: set(control_memory).
% 1.73/1.94 dependent: assign(max_mem, 12000).
% 1.73/1.94 dependent: assign(pick_given_ratio, 4).
% 1.73/1.94 dependent: assign(stats_level, 1).
% 1.73/1.94 dependent: assign(max_seconds, 10800).
% 1.73/1.94 clear(print_given).
% 1.73/1.94
% 1.73/1.94 list(usable).
% 1.73/1.94 0 [] A=A.
% 1.73/1.94 0 [] predecessor(successor(X))=X.
% 1.73/1.94 0 [] successor(predecessor(X))=X.
% 1.73/1.94 0 [] X=Y|predecessor(X)!=predecessor(Y).
% 1.73/1.94 0 [] X=Y|successor(X)!=successor(Y).
% 1.73/1.94 0 [] less_than(predecessor(X),X).
% 1.73/1.94 0 [] less_than(X,successor(X)).
% 1.73/1.94 0 [] less_than(X,Z)| -less_than(X,Y)| -less_than(Y,Z).
% 1.73/1.94 0 [] less_than(X,Y)|less_than(Y,X)|X=Y.
% 1.73/1.94 0 [] -less_than(X,X).
% 1.73/1.94 0 [] -less_than(X,Y)| -less_than(Y,X).
% 1.73/1.94 0 [] less_than(Y,Z)|X!=Y| -less_than(X,Z).
% 1.73/1.94 0 [] less_than(Z,Y)|X!=Y| -less_than(Z,X).
% 1.73/1.94 0 [] -less_than(n,j).
% 1.73/1.94 0 [] less_than(k,j).
% 1.73/1.94 0 [] -less_than(k,i).
% 1.73/1.94 0 [] less_than(i,n).
% 1.73/1.94 0 [] less_than(a(j),a(k)).
% 1.73/1.94 0 [] less_than(X,i)| -less_than(X,j)| -less_than(a(X),a(k)).
% 1.73/1.94 0 [] less_than(X,i)|less_than(n,X)| -less_than(one,i)| -less_than(a(X),a(predecessor(i))).
% 1.73/1.94 0 [] -less_than(one,X)| -less_than(X,i)| -less_than(a(X),a(predecessor(X))).
% 1.73/1.94 0 [] less_than(j,i).
% 1.73/1.94 end_of_list.
% 1.73/1.94
% 1.73/1.94 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.73/1.94
% 1.73/1.94 This ia a non-Horn set with equality. The strategy will be
% 1.73/1.94 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.73/1.94 deletion, with positive clauses in sos and nonpositive
% 1.73/1.94 clauses in usable.
% 1.73/1.94
% 1.73/1.94 dependent: set(knuth_bendix).
% 1.73/1.94 dependent: set(anl_eq).
% 1.73/1.94 dependent: set(para_from).
% 1.73/1.94 dependent: set(para_into).
% 1.73/1.94 dependent: clear(para_from_right).
% 1.73/1.94 dependent: clear(para_into_right).
% 1.73/1.94 dependent: set(para_from_vars).
% 1.73/1.94 dependent: set(eq_units_both_ways).
% 1.73/1.94 dependent: set(dynamic_demod_all).
% 1.73/1.94 dependent: set(dynamic_demod).
% 1.73/1.94 dependent: set(order_eq).
% 1.73/1.94 dependent: set(back_demod).
% 1.73/1.94 dependent: set(lrpo).
% 1.73/1.94 dependent: set(hyper_res).
% 1.73/1.94 dependent: set(unit_deletion).
% 1.73/1.94 dependent: set(factor).
% 1.73/1.94
% 1.73/1.94 ------------> process usable:
% 1.73/1.94 ** KEPT (pick-wt=8): 1 [] A=B|predecessor(A)!=predecessor(B).
% 1.73/1.94 ** KEPT (pick-wt=8): 2 [] A=B|successor(A)!=successor(B).
% 1.73/1.94 ** KEPT (pick-wt=9): 3 [] less_than(A,B)| -less_than(A,C)| -less_than(C,B).
% 1.73/1.94 ** KEPT (pick-wt=3): 4 [] -less_than(A,A).
% 1.73/1.94 ** KEPT (pick-wt=6): 5 [] -less_than(A,B)| -less_than(B,A).
% 1.73/1.94 ** KEPT (pick-wt=9): 6 [] less_than(A,B)|C!=A| -less_than(C,B).
% 1.73/1.94 ** KEPT (pick-wt=9): 7 [] less_than(A,B)|C!=B| -less_than(A,C).
% 1.73/1.94 ** KEPT (pick-wt=3): 8 [] -less_than(n,j).
% 1.73/1.94 ** KEPT (pick-wt=3): 9 [] -less_than(k,i).
% 1.73/1.94 ** KEPT (pick-wt=11): 10 [] less_than(A,i)| -less_than(A,j)| -less_than(a(A),a(k)).
% 1.73/1.94 ** KEPT (pick-wt=15): 11 [] less_than(A,i)|less_than(n,A)| -less_than(one,i)| -less_than(a(A),a(predecessor(i))).
% 1.73/1.94 ** KEPT (pick-wt=12): 12 [] -less_than(one,A)| -less_than(A,i)| -less_than(a(A),a(predecessor(A))).
% 1.73/1.94
% 1.73/1.94 ------------> process sos:
% 1.73/1.94 ** KEPT (pick-wt=3): 13 [] A=A.
% 1.73/1.94 ** KEPT (pick-wt=5): 14 [] predecessor(successor(A))=A.
% 1.73/1.94 ---> New Demodulator: 15 [new_demod,14] predecessor(successor(A))=A.
% 1.73/1.94 ** KEPT (pick-wt=5): 16 [] successor(predecessor(A))=A.
% 1.73/1.94 ---> New Demodulator: 17 [new_demod,16] successor(predecessor(A))=A.
% 1.73/1.94 ** KEPT (pick-wt=4): 18 [] less_than(predecessor(A),A).
% 1.73/1.94 ** KEPT (pick-wt=4): 19 [] less_than(A,successor(A)).
% 1.73/1.94 ** KEPT (pick-wt=9): 20 [] less_than(A,B)|less_than(B,A)|A=B.
% 1.73/1.94 ** KEPT (pick-wt=3): 21 [] less_than(k,j).
% 1.73/1.94 ** KEPT (pick-wt=3): 22 [] less_than(i,n).
% 1.73/1.94 ** KEPT (pick-wt=5): 23 [] less_than(a(j),a(k)).
% 1.73/1.94 ** KEPT (pick-wt=3): 24 [] less_than(j,i).
% 1.73/1.94 Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] A=A.
% 1.73/1.94 >>>> Starting back demodulation with 15.
% 1.73/1.94 >>>> Starting back demodulation with 17.
% 1.73/1.94
% 1.73/1.94 ======= end of input processing =======
% 1.73/1.94
% 1.73/1.94 =========== start of search ===========
% 1.73/1.94
% 1.73/1.94 -------- PROOF --------
% 1.73/1.94
% 1.73/1.94 ----> UNIT CONFLICT at 0.00 sec ----> 34 [binary,33.1,9.1] $F.
% 1.73/1.94
% 1.73/1.94 Length of proof is 1. Level of proof is 1.
% 1.73/1.94
% 1.73/1.94 ---------------- PROOF ----------------
% 1.73/1.94 % SZS status Unsatisfiable
% 1.73/1.94 % SZS output start Refutation
% See solution above
% 1.73/1.94 ------------ end of proof -------------
% 1.73/1.94
% 1.73/1.94
% 1.73/1.94 Search stopped by max_proofs option.
% 1.73/1.94
% 1.73/1.94
% 1.73/1.94 Search stopped by max_proofs option.
% 1.73/1.94
% 1.73/1.94 ============ end of search ============
% 1.73/1.94
% 1.73/1.94 -------------- statistics -------------
% 1.73/1.94 clauses given 4
% 1.73/1.94 clauses generated 20
% 1.73/1.94 clauses kept 31
% 1.73/1.94 clauses forward subsumed 12
% 1.73/1.94 clauses back subsumed 0
% 1.73/1.94 Kbytes malloced 976
% 1.73/1.94
% 1.73/1.94 ----------- times (seconds) -----------
% 1.73/1.94 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.94 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.73/1.94
% 1.73/1.94 That finishes the proof of the theorem.
% 1.73/1.94
% 1.73/1.94 Process 23654 finished Wed Jul 27 06:09:08 2022
% 1.73/1.94 Otter interrupted
% 1.73/1.94 PROOF FOUND
%------------------------------------------------------------------------------