%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : KRS096+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n022.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 : Sun Jul 17 03:29:45 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS096+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n022.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 : 600
% 0.12/0.33 % DateTime : Tue Jun 7 15:52:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox2 on n022.cluster.edu,
% 0.12/0.35 Tue Jun 7 15:52:20 2022
% 0.12/0.35 The command was "./sos". The process ID is 30654.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 formula_list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.12/0.35
% 0.12/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.35 clauses in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(knuth_bendix).
% 0.12/0.35 dependent: set(para_from).
% 0.12/0.35 dependent: set(para_into).
% 0.12/0.35 dependent: clear(para_from_right).
% 0.12/0.35 dependent: clear(para_into_right).
% 0.12/0.35 dependent: set(para_from_vars).
% 0.12/0.35 dependent: set(eq_units_both_ways).
% 0.12/0.35 dependent: set(dynamic_demod_all).
% 0.12/0.35 dependent: set(dynamic_demod).
% 0.12/0.35 dependent: set(order_eq).
% 0.12/0.35 dependent: set(back_demod).
% 0.12/0.35 dependent: set(lrpo).
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: set(unit_deletion).
% 0.12/0.35 dependent: set(factor).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35 10 back subsumes 4.
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35 22 back subsumes 5.
% 0.12/0.35 Following clause subsumed by 25 during input processing: 0 [copy,25,flip.1] {-} A=A.
% 0.12/0.35 25 back subsumes 21.
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.12/0.37
% 0.12/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.37
% 0.12/0.37 Stopped by limit on number of solutions
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 -------------- Softie stats --------------
% 0.12/0.37
% 0.12/0.37 UPDATE_STOP: 300
% 0.12/0.37 SFINDER_TIME_LIMIT: 2
% 0.12/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.37 number of clauses in intial UL: 18
% 0.12/0.37 number of clauses initially in problem: 22
% 0.12/0.37 percentage of clauses intially in UL: 81
% 0.12/0.37 percentage of distinct symbols occuring in initial UL: 85
% 0.12/0.37 percent of all initial clauses that are short: 100
% 0.12/0.37 absolute distinct symbol count: 14
% 0.12/0.37 distinct predicate count: 9
% 0.12/0.37 distinct function count: 4
% 0.12/0.37 distinct constant count: 1
% 0.12/0.37
% 0.12/0.37 ---------- no more Softie stats ----------
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 =========== start of search ===========
% 0.18/0.48
% 0.18/0.48 -------- PROOF --------
% 0.18/0.48 % SZS status Theorem
% 0.18/0.48 % SZS output start Refutation
% 0.18/0.48
% 0.18/0.48 Model 2 [ 1 0 109 ] (0.00 seconds, 1762 Inserts)
% 0.18/0.48
% 0.18/0.48 Model 3 [ 1 1 101 ] (0.00 seconds, 1588 Inserts)
% 0.18/0.48
% 0.18/0.48 Model 4 [ 1 1 147 ] (0.00 seconds, 1815 Inserts)
% 0.18/0.48
% 0.18/0.48 Stopped by limit on insertions
% 0.18/0.48
% 0.18/0.48 Model 5 [ 2 0 122 ] (0.00 seconds, 250000 Inserts)
% 0.18/0.48
% 0.18/0.48 -----> EMPTY CLAUSE at 0.11 sec ----> 42 [hyper,41,20,28] {-} $F.
% 0.18/0.48
% 0.18/0.48 Length of proof is 6. Level of proof is 3.
% 0.18/0.48
% 0.18/0.48 ---------------- PROOF ----------------
% 0.18/0.48 % SZS status Theorem
% 0.18/0.48 % SZS output start Refutation
% 0.18/0.48
% 0.18/0.48 12 [] {+} -cUnsatisfiable(A)|rr(A,$f1(A)).
% 0.18/0.48 13 [] {+} -cUnsatisfiable(A)|cc($f1(A)).
% 0.18/0.48 14 [] {+} -cUnsatisfiable(A)|rr(A,$f2(A)).
% 0.18/0.48 15 [] {+} -cUnsatisfiable(A)|cd($f2(A)).
% 0.18/0.48 16 [] {+} -cUnsatisfiable(A)| -rr(A,B)| -rr(A,C)|B=C.
% 0.18/0.48 20 [] {+} -cc(A)| -cd(A).
% 0.18/0.48 24 [] {-} cUnsatisfiable(i2003_11_14_17_20_18265).
% 0.18/0.48 26 [hyper,24,15] {+} cd($f2(i2003_11_14_17_20_18265)).
% 0.18/0.48 27 [hyper,24,14] {+} rr(i2003_11_14_17_20_18265,$f2(i2003_11_14_17_20_18265)).
% 0.18/0.48 28 [hyper,24,13] {+} cc($f1(i2003_11_14_17_20_18265)).
% 0.18/0.48 29 [hyper,24,12] {+} rr(i2003_11_14_17_20_18265,$f1(i2003_11_14_17_20_18265)).
% 0.18/0.48 39,38 [hyper,27,16,24,29,flip.1] {-} $f2(i2003_11_14_17_20_18265)=$f1(i2003_11_14_17_20_18265).
% 0.18/0.48 41 [back_demod,26,demod,39] {+} cd($f1(i2003_11_14_17_20_18265)).
% 0.18/0.48 42 [hyper,41,20,28] {-} $F.
% 0.18/0.48
% 0.18/0.48 % SZS output end Refutation
% 0.18/0.48 ------------ end of proof -------------
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 Search stopped by max_proofs option.
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 Search stopped by max_proofs option.
% 0.18/0.48
% 0.18/0.48 ============ end of search ============
% 0.18/0.48
% 0.18/0.48 ----------- soft-scott stats ----------
% 0.18/0.48
% 0.18/0.48 true clauses given 4 (44.4%)
% 0.18/0.48 false clauses given 5
% 0.18/0.48
% 0.18/0.48 FALSE TRUE
% 0.18/0.48 5 1 0
% 0.18/0.48 10 0 1
% 0.18/0.48 11 0 5
% 0.18/0.48 12 0 3
% 0.18/0.48 tot: 1 9 (90.0% true)
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 Model 5 [ 2 0 122 ] (0.00 seconds, 250000 Inserts)
% 0.18/0.48
% 0.18/0.48 That finishes the proof of the theorem.
% 0.18/0.48
% 0.18/0.48 Process 30654 finished Tue Jun 7 15:52:20 2022
%------------------------------------------------------------------------------