%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM022-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n009.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 : 600s
% DateTime : Mon Jul 18 14:15:50 EDT 2022
% Result : Unsatisfiable 0.46s 0.65s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM022-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jul 6 00:07:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox on n009.cluster.edu,
% 0.13/0.35 Wed Jul 6 00:07:22 2022
% 0.13/0.35 The command was "./sos". The process ID is 9530.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.13/0.35
% 0.13/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.35 clauses in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(knuth_bendix).
% 0.13/0.35 dependent: set(para_from).
% 0.13/0.35 dependent: set(para_into).
% 0.13/0.35 dependent: clear(para_from_right).
% 0.13/0.35 dependent: clear(para_into_right).
% 0.13/0.35 dependent: set(para_from_vars).
% 0.13/0.35 dependent: set(eq_units_both_ways).
% 0.13/0.35 dependent: set(dynamic_demod_all).
% 0.13/0.35 dependent: set(dynamic_demod).
% 0.13/0.35 dependent: set(order_eq).
% 0.13/0.35 dependent: set(back_demod).
% 0.13/0.35 dependent: set(lrpo).
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: set(unit_deletion).
% 0.13/0.35 dependent: set(factor).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.46/0.65
% 0.46/0.65 Stopped by limit on insertions
% 0.46/0.65
% 0.46/0.65
% 0.46/0.65 Failed to model usable list: disabling FINDER
% 0.46/0.65
% 0.46/0.65
% 0.46/0.65
% 0.46/0.65 -------------- Softie stats --------------
% 0.46/0.65
% 0.46/0.65 UPDATE_STOP: 300
% 0.46/0.65 SFINDER_TIME_LIMIT: 2
% 0.46/0.65 SHORT_CLAUSE_CUTOFF: 4
% 0.46/0.65 number of clauses in intial UL: 8
% 0.46/0.65 number of clauses initially in problem: 10
% 0.46/0.65 percentage of clauses intially in UL: 80
% 0.46/0.65 percentage of distinct symbols occuring in initial UL: 88
% 0.46/0.65 percent of all initial clauses that are short: 100
% 0.46/0.65 absolute distinct symbol count: 9
% 0.46/0.65 distinct predicate count: 3
% 0.46/0.65 distinct function count: 3
% 0.46/0.65 distinct constant count: 3
% 0.46/0.65
% 0.46/0.65 ---------- no more Softie stats ----------
% 0.46/0.65
% 0.46/0.65
% 0.46/0.65
% 0.46/0.65 =========== start of search ===========
% 0.46/0.65
% 0.46/0.65 -------- PROOF --------
% 0.46/0.65 % SZS status Unsatisfiable
% 0.46/0.65 % SZS output start Refutation
% 0.46/0.65
% 0.46/0.65 ----> UNIT CONFLICT at 0.27 sec ----> 37 [binary,36.1,9.1] {-} $F.
% 0.46/0.65
% 0.46/0.65 Length of proof is 3. Level of proof is 3.
% 0.46/0.65
% 0.46/0.65 ---------------- PROOF ----------------
% 0.46/0.65 % SZS status Unsatisfiable
% 0.46/0.65 % SZS output start Refutation
% 0.46/0.65
% 0.46/0.65 1 [] {+} -less(A,B)| -less(C,A)|less(C,B).
% 0.46/0.65 4 [] {+} -divides(A,B)|less(A,B)|equalish(A,B).
% 0.46/0.65 8 [] {+} -less(a,d).
% 0.46/0.65 9 [] {-} less(a,b).
% 0.46/0.65 10 [] {-} divides(b,d).
% 0.46/0.65 18 [hyper,10,4,flip.2] {-} less(b,d)|equalish(d,b).
% 0.46/0.65 29,28 [hyper,18,1,9,unit_del,8] {-} equalish(d,b).
% 0.46/0.65 36 [back_demod,8,demod,29] {-} -less(a,b).
% 0.46/0.65 37 [binary,36.1,9.1] {-} $F.
% 0.46/0.65
% 0.46/0.65 % SZS output end Refutation
% 0.46/0.65 ------------ end of proof -------------
% 0.46/0.65
% 0.46/0.65
% 0.46/0.65 Search stopped by max_proofs option.
% 0.46/0.65
% 0.46/0.65
% 0.46/0.65 Search stopped by max_proofs option.
% 0.46/0.65
% 0.46/0.65 ============ end of search ============
% 0.46/0.65
% 0.46/0.65 That finishes the proof of the theorem.
% 0.46/0.65
% 0.46/0.65 Process 9530 finished Wed Jul 6 00:07:22 2022
%------------------------------------------------------------------------------