%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ALG440-1 : TPTP v8.1.0. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-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 : 600s
% DateTime : Thu Jul 14 18:01:54 EDT 2022
% Result : Unsatisfiable 58.22s 58.42s
% Output : Refutation 58.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG440-1 : TPTP v8.1.0. Released v5.4.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n019.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 : Wed Jun 8 13:10:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.35 ----- Otter 3.2, August 2001 -----
% 0.18/0.35 The process was started by sandbox2 on n019.cluster.edu,
% 0.18/0.35 Wed Jun 8 13:10:25 2022
% 0.18/0.35 The command was "./sos". The process ID is 11267.
% 0.18/0.35
% 0.18/0.35 set(prolog_style_variables).
% 0.18/0.35 set(auto).
% 0.18/0.35 dependent: set(auto1).
% 0.18/0.35 dependent: set(process_input).
% 0.18/0.35 dependent: clear(print_kept).
% 0.18/0.35 dependent: clear(print_new_demod).
% 0.18/0.35 dependent: clear(print_back_demod).
% 0.18/0.35 dependent: clear(print_back_sub).
% 0.18/0.35 dependent: set(control_memory).
% 0.18/0.35 dependent: assign(max_mem, 12000).
% 0.18/0.35 dependent: assign(pick_given_ratio, 4).
% 0.18/0.35 dependent: assign(stats_level, 1).
% 0.18/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.35 dependent: assign(sos_limit, 5000).
% 0.18/0.35 dependent: assign(max_weight, 60).
% 0.18/0.35 clear(print_given).
% 0.18/0.35
% 0.18/0.35 list(usable).
% 0.18/0.35
% 0.18/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=4.
% 0.18/0.35
% 0.18/0.35 This is a Horn set with equality. The strategy will be
% 0.18/0.35 Knuth-Bendix and hyper_res, with positive clauses in
% 0.18/0.35 sos and nonpositive clauses in usable.
% 0.18/0.35
% 0.18/0.35 dependent: set(knuth_bendix).
% 0.18/0.35 dependent: set(para_from).
% 0.18/0.35 dependent: set(para_into).
% 0.18/0.35 dependent: clear(para_from_right).
% 0.18/0.35 dependent: clear(para_into_right).
% 0.18/0.35 dependent: set(para_from_vars).
% 0.18/0.35 dependent: set(eq_units_both_ways).
% 0.18/0.35 dependent: set(dynamic_demod_all).
% 0.18/0.35 dependent: set(dynamic_demod).
% 0.18/0.35 dependent: set(order_eq).
% 0.18/0.35 dependent: set(back_demod).
% 0.18/0.35 dependent: set(lrpo).
% 0.18/0.35 dependent: set(hyper_res).
% 0.18/0.35 dependent: clear(order_hyper).
% 0.18/0.35
% 0.18/0.35 ------------> process usable:
% 0.18/0.35
% 0.18/0.35 ------------> process sos:
% 0.18/0.35 Following clause subsumed by 22 during input processing: 0 [copy,22,flip.1] {-} A=A.
% 0.18/0.35 Following clause subsumed by 13 during input processing: 0 [copy,23,flip.1] {-} u(A,A,B)=u(A,B,A).
% 0.18/0.35 Following clause subsumed by 14 during input processing: 0 [copy,24,flip.1] {-} u(A,A,B)=u(B,A,A).
% 0.18/0.35 Following clause subsumed by 25 during input processing: 0 [copy,25,flip.1] {-} u(A,A,B)=u(B,B,A).
% 0.18/0.35
% 0.18/0.35 ======= end of input processing =======
% 3.12/3.32
% 3.12/3.32 Model 1 (0.00 seconds, 0 Inserts)
% 3.12/3.32
% 3.12/3.32 Stopped by limit on number of solutions
% 3.12/3.32
% 3.12/3.32
% 3.12/3.32 -------------- Softie stats --------------
% 3.12/3.32
% 3.12/3.32 UPDATE_STOP: 300
% 3.12/3.32 SFINDER_TIME_LIMIT: 2
% 3.12/3.32 SHORT_CLAUSE_CUTOFF: 4
% 3.12/3.32 number of clauses in intial UL: 3
% 3.12/3.32 number of clauses initially in problem: 20
% 3.12/3.32 percentage of clauses intially in UL: 15
% 3.12/3.32 percentage of distinct symbols occuring in initial UL: 57
% 3.12/3.32 percent of all initial clauses that are short: 100
% 3.12/3.32 absolute distinct symbol count: 7
% 3.12/3.32 distinct predicate count: 2
% 3.12/3.32 distinct function count: 3
% 3.12/3.32 distinct constant count: 2
% 3.12/3.32
% 3.12/3.32 ---------- no more Softie stats ----------
% 3.12/3.32
% 3.12/3.32
% 3.12/3.32
% 3.12/3.32 Model 2 (0.00 seconds, 0 Inserts)
% 3.12/3.32
% 3.12/3.32 Stopped by limit on number of solutions
% 3.12/3.32
% 3.12/3.32 =========== start of search ===========
% 24.43/24.62
% 24.43/24.62
% 24.43/24.62 Changing weight limit from 60 to 31.
% 24.43/24.62
% 24.43/24.62 Model 3 (0.00 seconds, 0 Inserts)
% 24.43/24.62
% 24.43/24.62 Stopped by limit on number of solutions
% 24.43/24.62
% 24.43/24.62 Model 4 (0.00 seconds, 0 Inserts)
% 24.43/24.62
% 24.43/24.62 Stopped by limit on number of solutions
% 24.43/24.62
% 24.43/24.62 Stopped by limit on insertions
% 24.43/24.62
% 24.43/24.62 Model 5 [ 6 220 16508 ] (0.00 seconds, 250000 Inserts)
% 24.43/24.62
% 24.43/24.62 Stopped by limit on insertions
% 24.43/24.62
% 24.43/24.62 Model 6 [ 7 151 12126 ] (0.00 seconds, 250000 Inserts)
% 24.43/24.62
% 24.43/24.62 Stopped by limit on insertions
% 24.43/24.62
% 24.43/24.62 Model 7 [ 7 288 21787 ] (0.00 seconds, 250000 Inserts)
% 24.43/24.62
% 24.43/24.62 Stopped by limit on insertions
% 24.43/24.62
% 24.43/24.62 Model 8 [ 7 151 11781 ] (0.00 seconds, 250000 Inserts)
% 24.43/24.62
% 24.43/24.62 Stopped by limit on insertions
% 24.43/24.62
% 24.43/24.62 Model 9 [ 7 308 15548 ] (0.00 seconds, 250000 Inserts)
% 24.43/24.62
% 24.43/24.62 Stopped by limit on insertions
% 24.43/24.62
% 24.43/24.62 Model 10 [ 9 135 9149 ] (0.00 seconds, 250000 Inserts)
% 24.43/24.62
% 24.43/24.62 Stopped by limit on insertions
% 24.43/24.62
% 24.43/24.62 Model 11 [ 8 166 14816 ] (0.00 seconds, 250000 Inserts)
% 24.43/24.62
% 24.43/24.62 Resetting weight limit to 31 after 25 givens.
% 24.43/24.62
% 24.83/25.02
% 24.83/25.02
% 24.83/25.02 Changing weight limit from 31 to 28.
% 24.83/25.02
% 24.83/25.02 Resetting weight limit to 28 after 30 givens.
% 24.83/25.02
% 25.60/25.81
% 25.60/25.81
% 25.60/25.81 Changing weight limit from 28 to 25.
% 25.60/25.81
% 25.60/25.81 Resetting weight limit to 25 after 35 givens.
% 25.60/25.81
% 25.97/26.21
% 25.97/26.21
% 25.97/26.21 Changing weight limit from 25 to 22.
% 25.97/26.21
% 25.97/26.21 Resetting weight limit to 22 after 40 givens.
% 25.97/26.21
% 28.21/28.41
% 28.21/28.41
% 28.21/28.41 Changing weight limit from 22 to 19.
% 28.21/28.41
% 28.21/28.41 Resetting weight limit to 19 after 55 givens.
% 28.21/28.41
% 58.22/58.42
% 58.22/58.42 -- HEY sandbox2, WE HAVE A PROOF!! --
% 58.22/58.42
% 58.22/58.42 Stopped by limit on insertions
% 58.22/58.42
% 58.22/58.42 Model 12 [ 8 196 15595 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.42
% 58.22/58.42 Stopped by limit on insertions
% 58.22/58.42
% 58.22/58.42 Model 13 [ 8 72 8845 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.42
% 58.22/58.42 Stopped by limit on insertions
% 58.22/58.42
% 58.22/58.42 Model 14 [ 10 186 18394 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.42
% 58.22/58.42 Stopped by limit on insertions
% 58.22/58.42
% 58.22/58.42 Model 15 [ 9 226 16327 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.42
% 58.22/58.42 Stopped by limit on insertions
% 58.22/58.42
% 58.22/58.42 Model 16 [ 10 184 17159 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.42
% 58.22/58.42 Stopped by limit on insertions
% 58.22/58.42
% 58.22/58.42 Model 17 [ 10 164 12582 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.42
% 58.22/58.42 Stopped by limit on insertions
% 58.22/58.42
% 58.22/58.42 Model 18 [ 7 135 11509 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.42
% 58.22/58.42 Stopped by limit on insertions
% 58.22/58.42
% 58.22/58.42 Model 19 [ 6 84 8123 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.42
% 58.22/58.42 ----> UNIT CONFLICT at 57.16 sec ----> 84700 [binary,84699.1,4.1] {+} $F.
% 58.22/58.42
% 58.22/58.42 Length of proof is 18. Level of proof is 7.
% 58.22/58.42
% 58.22/58.42 ---------------- PROOF ----------------
% 58.22/58.42 % SZS status Unsatisfiable
% 58.22/58.42 % SZS output start Refutation
% 58.22/58.42
% 58.22/58.42 1 [] {+} -r(A,B,C)| -r(D,E,F)| -r(G,H,I)|r(m(A,D,G),m(B,E,H),m(C,F,I)).
% 58.22/58.42 2 [] {+} -r(A,B,C)| -r(D,E,F)| -r(G,H,I)|r(u(A,D,G),u(B,E,H),u(C,F,I)).
% 58.22/58.42 4 [] {+} -r(a,a,a).
% 58.22/58.42 6,5 [] {+} m(A,A,B)=B.
% 58.22/58.42 8,7 [] {+} m(A,B,B)=A.
% 58.22/58.42 10,9 [] {+} u(A,A,A)=A.
% 58.22/58.42 13 [] {+} u(A,A,B)=u(A,B,A).
% 58.22/58.42 14 [] {+} u(A,A,B)=u(B,A,A).
% 58.22/58.42 15 [] {-} v(A,B)=v(B,A).
% 58.22/58.42 16 [] {-} u(A,A,B)=v(A,B).
% 58.22/58.42 18,17 [copy,16,flip.1] {+} v(A,B)=u(A,A,B).
% 58.22/58.42 19 [] {+} r(a,a,b).
% 58.22/58.42 20 [] {+} r(a,b,a).
% 58.22/58.42 21 [] {+} r(b,a,a).
% 58.22/58.42 25 [copy,15,flip.1,demod,18,18] {+} u(A,A,B)=u(B,B,A).
% 58.22/58.42 28 [para_from,5.1.1,1.4.1] {+} -r(A,B,C)| -r(A,D,E)| -r(F,G,H)|r(F,m(B,D,G),m(C,E,H)).
% 58.22/58.42 30 [hyper,20,2,19,20,demod,10] {+} r(a,u(a,b,b),u(b,a,a)).
% 58.22/58.42 33 [hyper,20,2,19,19,demod,10] {-} r(a,u(a,b,a),u(b,a,b)).
% 58.22/58.42 43 [hyper,21,2,21,20,demod,10] {-} r(u(b,a,b),u(a,b,a),a).
% 58.22/58.42 44 [hyper,21,2,21,19,demod,10] {-} r(u(b,a,b),a,u(a,b,a)).
% 58.22/58.42 55 [hyper,21,2,19,20] {+} r(u(a,b,a),u(a,a,b),u(b,a,a)).
% 58.22/58.42 56 [hyper,21,2,19,19,demod,10] {-} r(u(a,b,a),a,u(b,a,b)).
% 58.22/58.42 2410 [para_into,25.1.1,14.1.1] {+} u(A,B,B)=u(A,A,B).
% 58.22/58.42 2411 [para_into,25.1.1,13.1.1] {+} u(A,B,A)=u(B,B,A).
% 58.22/58.42 2413 [copy,2411,flip.1] {+} u(A,A,B)=u(B,A,B).
% 58.22/58.42 18706 [para_into,30.1.2,2410.1.1] {-} r(a,u(a,a,b),u(b,a,a)).
% 58.22/58.42 20638 [para_into,2413.1.1,13.1.1] {+} u(A,B,A)=u(B,A,B).
% 58.22/58.42 40059 [hyper,18706,28,56,55,demod,8,8] {+} r(a,a,u(b,a,b)).
% 58.22/58.42 41605 [hyper,40059,28,33,43,demod,8,6] {+} r(u(b,a,b),a,a).
% 58.22/58.42 43021 [para_into,40059.1.3,20638.1.1] {+} r(a,a,u(a,b,a)).
% 58.22/58.42 84699 [hyper,43021,28,41605,44,demod,6,8] {-} r(a,a,a).
% 58.22/58.42 84700 [binary,84699.1,4.1] {+} $F.
% 58.22/58.42
% 58.22/58.42 % SZS output end Refutation
% 58.22/58.42 ------------ end of proof -------------
% 58.22/58.42
% 58.22/58.42
% 58.22/58.42 Search stopped by max_proofs option.
% 58.22/58.42
% 58.22/58.42
% 58.22/58.42 Search stopped by max_proofs option.
% 58.22/58.42
% 58.22/58.42 ============ end of search ============
% 58.22/58.42
% 58.22/58.42 ----------- soft-scott stats ----------
% 58.22/58.42
% 58.22/58.42 true clauses given 37 (32.7%)
% 58.22/58.42 false clauses given 76
% 58.22/58.42
% 58.22/58.42 FALSE TRUE
% 58.22/58.42 7 0 41
% 58.22/58.42 10 8 268
% 58.22/58.42 13 38 2229
% 58.22/58.42 16 569 308
% 58.22/58.42 19 1980 1894
% 58.22/58.42 tot: 2595 4740 (64.6% true)
% 58.22/58.42
% 58.22/58.42
% 58.22/58.42 Model 19 [ 6 84 8123 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.42
% 58.22/58.42 That finishes the proof of the theorem.
% 58.22/58.42
% 58.22/58.42 Process 11267 finished Wed Jun 8 13:11:23 2022
%------------------------------------------------------------------------------