TSTP Solution File: GRP133-2.003 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP133-2.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n006.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 : Sat Jul 16 11:41:51 EDT 2022
% Result : Unsatisfiable 7.41s 7.60s
% Output : Refutation 7.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP133-2.003 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n006.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 : 600
% 0.12/0.34 % DateTime : Mon Jun 13 06:45:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox on n006.cluster.edu,
% 0.12/0.35 Mon Jun 13 06:45:42 2022
% 0.12/0.35 The command was "./sos". The process ID is 26919.
% 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).
% 0.12/0.36 dependent: assign(pick_given_ratio, 4).
% 0.12/0.36 dependent: assign(stats_level, 1).
% 0.12/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36 dependent: assign(sos_limit, 5000).
% 0.12/0.36 dependent: assign(max_weight, 60).
% 0.12/0.36 clear(print_given).
% 0.12/0.36
% 0.12/0.36 list(usable).
% 0.12/0.36
% 0.12/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.36
% 0.12/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36 clauses in usable.
% 0.12/0.36
% 0.12/0.36 dependent: set(knuth_bendix).
% 0.12/0.36 dependent: set(para_from).
% 0.12/0.36 dependent: set(para_into).
% 0.12/0.36 dependent: clear(para_from_right).
% 0.12/0.36 dependent: clear(para_into_right).
% 0.12/0.36 dependent: set(para_from_vars).
% 0.12/0.36 dependent: set(eq_units_both_ways).
% 0.12/0.36 dependent: set(dynamic_demod_all).
% 0.12/0.36 dependent: set(dynamic_demod).
% 0.12/0.36 dependent: set(order_eq).
% 0.12/0.36 dependent: set(back_demod).
% 0.12/0.36 dependent: set(lrpo).
% 0.12/0.36 dependent: set(hyper_res).
% 0.12/0.36 dependent: set(unit_deletion).
% 0.12/0.36 dependent: set(factor).
% 0.12/0.36
% 0.12/0.36 ------------> process usable:
% 0.12/0.36 Following clause subsumed by 3 during input processing: 0 [] {-} -equalish(e_2,e_1).
% 0.12/0.36 Following clause subsumed by 5 during input processing: 0 [] {-} -equalish(e_3,e_1).
% 0.12/0.36 Following clause subsumed by 7 during input processing: 0 [] {-} -equalish(e_3,e_2).
% 0.12/0.36
% 0.12/0.36 ------------> process sos:
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.12/0.39
% 0.12/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.39
% 0.12/0.39 Stopped by limit on number of solutions
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 -------------- Softie stats --------------
% 0.12/0.39
% 0.12/0.39 UPDATE_STOP: 300
% 0.12/0.39 SFINDER_TIME_LIMIT: 2
% 0.12/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.39 number of clauses in intial UL: 14
% 0.12/0.39 number of clauses initially in problem: 22
% 0.12/0.39 percentage of clauses intially in UL: 63
% 0.12/0.39 percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.39 percent of all initial clauses that are short: 100
% 0.12/0.39 absolute distinct symbol count: 8
% 0.12/0.39 distinct predicate count: 5
% 0.12/0.39 distinct function count: 0
% 0.12/0.39 distinct constant count: 3
% 0.12/0.39
% 0.12/0.39 ---------- no more Softie stats ----------
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.39
% 0.12/0.39 Stopped by limit on number of solutions
% 0.12/0.39
% 0.12/0.39 =========== start of search ===========
% 7.41/7.60
% 7.41/7.60 -------- PROOF --------
% 7.41/7.60 % SZS status Unsatisfiable
% 7.41/7.60 % SZS output start Refutation
% 7.41/7.60
% 7.41/7.60 Model 3 (0.00 seconds, 0 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on number of solutions
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 4 [ 1 1 315 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 5 [ 2 0 226 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 6 [ 2 1 306 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 7 [ 2 1 303 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 8 [ 2 1 10018 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 9 [ 2 0 323 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 10 [ 4 0 363 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 11 [ 3 0 2966 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 12 [ 5 0 1023 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 13 [ 4 7 161985 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 14 [ 4 1 477 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 15 [ 7 1 237 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 16 [ 7 0 218 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 17 [ 5 1 322 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 18 [ 5 0 568 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 19 [ 7 1 482 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 20 [ 2 1 51089 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 21 [ 6 0 581 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 22 [ 8 0 9187 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 23 [ 10 0 203 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 24 [ 10 1 2961 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 25 [ 14 1 185 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 Stopped by limit on insertions
% 7.41/7.60
% 7.41/7.60 Model 26 [ 12 0 478 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 ----> UNIT CONFLICT at 7.21 sec ----> 3723 [binary,3721.1,3.1] {+} $F.
% 7.41/7.60
% 7.41/7.60 Length of proof is 40. Level of proof is 16.
% 7.41/7.60
% 7.41/7.60 ---------------- PROOF ----------------
% 7.41/7.60 % SZS status Unsatisfiable
% 7.41/7.60 % SZS output start Refutation
% 7.41/7.60
% 7.41/7.60 1 [] {+} -product(A,e_1,B)| -next(A,C)| -greater(B,C).
% 7.41/7.60 2 [] {-} -equalish(e_1,e_2).
% 7.41/7.60 3 [copy,2,flip.1] {+} -equalish(e_2,e_1).
% 7.41/7.60 4 [] {-} -equalish(e_1,e_3).
% 7.41/7.60 5 [copy,4,flip.1] {+} -equalish(e_3,e_1).
% 7.41/7.60 6 [] {-} -equalish(e_2,e_3).
% 7.41/7.60 7 [copy,6,flip.1] {+} -equalish(e_3,e_2).
% 7.41/7.60 8 [] {+} -group_element(A)| -group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3).
% 7.41/7.60 9 [] {+} -product(A,B,C)| -product(A,B,D)|equalish(C,D).
% 7.41/7.60 10 [] {+} -product(A,B,C)| -product(A,D,C)|equalish(B,D).
% 7.41/7.60 11 [] {+} -product(A,B,C)| -product(D,B,C)|equalish(A,D).
% 7.41/7.60 12 [] {+} -product(A,B,C)| -product(B,A,D)|product(C,D,A).
% 7.41/7.60 13 [factor,8.1.2] {+} -group_element(A)|product(A,A,e_1)|product(A,A,e_2)|product(A,A,e_3).
% 7.41/7.60 17 [factor,12.1.2] {+} -product(A,A,B)|product(B,B,A).
% 7.41/7.60 18 [] {+} next(e_1,e_2).
% 7.41/7.60 22 [] {+} greater(e_3,e_2).
% 7.41/7.60 23 [] {+} group_element(e_1).
% 7.41/7.60 24 [] {+} group_element(e_2).
% 7.41/7.60 25 [] {+} group_element(e_3).
% 7.41/7.60 32 [hyper,23,13] {+} product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3).
% 7.41/7.60 36 [hyper,24,13] {-} product(e_2,e_2,e_1)|product(e_2,e_2,e_2)|product(e_2,e_2,e_3).
% 7.41/7.60 37 [hyper,24,8,23] {-} product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3).
% 7.41/7.60 38 [hyper,24,8,23] {-} product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3).
% 7.41/7.60 42 [hyper,25,13] {-} product(e_3,e_3,e_1)|product(e_3,e_3,e_2)|product(e_3,e_3,e_3).
% 7.41/7.60 44 [hyper,25,8,23] {-} product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3).
% 7.41/7.60 46 [hyper,25,8,23] {-} product(e_3,e_1,e_1)|product(e_3,e_1,e_2)|product(e_3,e_1,e_3).
% 7.41/7.60 174 [hyper,36,17] {-} product(e_2,e_2,e_2)|product(e_2,e_2,e_3)|product(e_1,e_1,e_2).
% 7.41/7.60 555 [hyper,32,1,18,22] {+} product(e_1,e_1,e_1)|product(e_1,e_1,e_2).
% 7.41/7.60 576 [hyper,555,17] {+} product(e_1,e_1,e_1)|product(e_2,e_2,e_1).
% 7.41/7.60 580 [hyper,555,10,37,unit_del,3] {-} product(e_1,e_1,e_1)|product(e_1,e_2,e_1)|product(e_1,e_2,e_3).
% 7.41/7.60 670 [hyper,42,17] {-} product(e_3,e_3,e_2)|product(e_3,e_3,e_3)|product(e_1,e_1,e_3).
% 7.41/7.60 1055 [hyper,576,11,38,unit_del,3] {-} product(e_2,e_2,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3).
% 7.41/7.60 2127 [hyper,670,1,18,22] {+} product(e_3,e_3,e_2)|product(e_3,e_3,e_3).
% 7.41/7.60 2138 [hyper,2127,17] {+} product(e_3,e_3,e_3)|product(e_2,e_2,e_3).
% 7.41/7.60 2260 [hyper,580,11,576,unit_del,3,factor_simp] {-} product(e_1,e_1,e_1)|product(e_1,e_2,e_3).
% 7.41/7.60 2367 [hyper,1055,10,38,unit_del,3,factor_simp,factor_simp] {-} product(e_2,e_1,e_2)|product(e_2,e_1,e_3).
% 7.41/7.60 2437 [hyper,2367,11,555,unit_del,3] {-} product(e_2,e_1,e_3)|product(e_1,e_1,e_1).
% 7.41/7.60 2513 [hyper,2437,12,2260,factor_simp] {+} product(e_1,e_1,e_1)|product(e_3,e_3,e_1).
% 7.41/7.60 2580 [hyper,2513,17] {+} product(e_1,e_1,e_1)|product(e_1,e_1,e_3).
% 7.41/7.60 2643 [hyper,2138,10,2367,unit_del,3] {-} product(e_3,e_3,e_3)|product(e_2,e_1,e_2).
% 7.41/7.60 2805 [hyper,2580,11,2437,unit_del,3,factor_simp] {+} product(e_1,e_1,e_1).
% 7.41/7.60 2822 [hyper,2805,11,46,unit_del,5] {-} product(e_3,e_1,e_2)|product(e_3,e_1,e_3).
% 7.41/7.60 2823 [hyper,2805,10,44,unit_del,5] {-} product(e_1,e_3,e_2)|product(e_1,e_3,e_3).
% 7.41/7.60 2824 [hyper,2805,9,174,unit_del,3] {+} product(e_2,e_2,e_2)|product(e_2,e_2,e_3).
% 7.41/7.60 2915 [hyper,2822,11,2643,unit_del,7] {+} product(e_3,e_1,e_3)|product(e_3,e_3,e_3).
% 7.41/7.60 2916 [hyper,2822,11,2367,unit_del,7] {-} product(e_3,e_1,e_3)|product(e_2,e_1,e_3).
% 7.41/7.60 3108 [hyper,2823,11,2127,unit_del,5] {+} product(e_1,e_3,e_3)|product(e_3,e_3,e_3).
% 7.41/7.60 3536 [hyper,3108,12,2915,factor_simp,factor_simp] {+} product(e_3,e_3,e_3).
% 7.41/7.60 3613 [hyper,3536,11,2823,unit_del,5] {+} product(e_1,e_3,e_2).
% 7.41/7.60 3615 [hyper,3536,10,2916,unit_del,5] {+} product(e_2,e_1,e_3).
% 7.41/7.60 3616 [hyper,3536,10,2822,unit_del,5] {+} product(e_3,e_1,e_2).
% 7.41/7.60 3661 [hyper,3615,10,2824,unit_del,3] {+} product(e_2,e_2,e_2).
% 7.41/7.60 3671 [hyper,3616,12,3613] {+} product(e_2,e_2,e_1).
% 7.41/7.60 3721 [hyper,3671,9,3661] {-} equalish(e_2,e_1).
% 7.41/7.60 3723 [binary,3721.1,3.1] {+} $F.
% 7.41/7.60
% 7.41/7.60 % SZS output end Refutation
% 7.41/7.60 ------------ end of proof -------------
% 7.41/7.60
% 7.41/7.60
% 7.41/7.60 Search stopped by max_proofs option.
% 7.41/7.60
% 7.41/7.60
% 7.41/7.60 Search stopped by max_proofs option.
% 7.41/7.60
% 7.41/7.60 ============ end of search ============
% 7.41/7.60
% 7.41/7.60 ----------- soft-scott stats ----------
% 7.41/7.60
% 7.41/7.60 true clauses given 50 (31.4%)
% 7.41/7.60 false clauses given 109
% 7.41/7.60
% 7.41/7.60 FALSE TRUE
% 7.41/7.60 4 3 0
% 7.41/7.60 8 1 1
% 7.41/7.60 11 0 16
% 7.41/7.60 12 58 9
% 7.41/7.60 14 24 48
% 7.41/7.60 15 40 357
% 7.41/7.60 16 0 6
% 7.41/7.60 18 18 9
% 7.41/7.60 19 27 105
% 7.41/7.60 20 18 21
% 7.41/7.60 tot: 189 572 (75.2% true)
% 7.41/7.60
% 7.41/7.60
% 7.41/7.60 Model 26 [ 12 0 478 ] (0.00 seconds, 250000 Inserts)
% 7.41/7.60
% 7.41/7.60 That finishes the proof of the theorem.
% 7.41/7.60
% 7.41/7.60 Process 26919 finished Mon Jun 13 06:45:49 2022
%------------------------------------------------------------------------------