TSTP Solution File: GRP134-2.003 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP134-2.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n013.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 11:41:52 EDT 2022
% Result : Unsatisfiable 18.88s 19.06s
% Output : Refutation 18.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP134-2.003 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.33 % Computer : n013.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 03:45:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox2 on n013.cluster.edu,
% 0.13/0.35 Tue Jun 14 03:45:44 2022
% 0.13/0.35 The command was "./sos". The process ID is 2850.
% 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=5.
% 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 Following clause subsumed by 3 during input processing: 0 [] {-} -equalish(e_2,e_1).
% 0.13/0.35 Following clause subsumed by 5 during input processing: 0 [] {-} -equalish(e_3,e_1).
% 0.13/0.35 Following clause subsumed by 7 during input processing: 0 [] {-} -equalish(e_3,e_2).
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.19/0.38
% 0.19/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.38
% 0.19/0.38 Stopped by limit on number of solutions
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 -------------- Softie stats --------------
% 0.19/0.38
% 0.19/0.38 UPDATE_STOP: 300
% 0.19/0.38 SFINDER_TIME_LIMIT: 2
% 0.19/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.38 number of clauses in intial UL: 14
% 0.19/0.38 number of clauses initially in problem: 22
% 0.19/0.38 percentage of clauses intially in UL: 63
% 0.19/0.38 percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.38 percent of all initial clauses that are short: 100
% 0.19/0.38 absolute distinct symbol count: 8
% 0.19/0.38 distinct predicate count: 5
% 0.19/0.38 distinct function count: 0
% 0.19/0.38 distinct constant count: 3
% 0.19/0.38
% 0.19/0.38 ---------- no more Softie stats ----------
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 =========== start of search ===========
% 18.88/19.06
% 18.88/19.06 -- HEY sandbox2, WE HAVE A PROOF!! --
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 2 [ 1 1 255 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 3 [ 2 0 341 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 4 [ 2 1 205 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 5 [ 2 1 256 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 6 [ 2 0 220 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 7 [ 3 1 5022 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 8 [ 2 0 286 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 9 [ 2 0 250 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 10 [ 3 0 15587 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 11 [ 3 1 219 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 12 [ 5 2 13800 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 13 [ 5 1 347 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 14 [ 4 1 392 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 15 [ 4 0 707 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 16 [ 4 1 548 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 17 [ 5 0 472 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 18 [ 8 1 305 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 19 [ 7 0 215 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 20 [ 10 0 380 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 21 [ 5 1 476 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 22 [ 7 0 343 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 23 [ 14 4 106771 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 24 [ 11 1 295 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 25 [ 6 2 15219 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 26 [ 6 1 643 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 27 [ 11 7 153839 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 28 [ 13 1 399 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 29 [ 10 0 638 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 30 [ 11 0 422 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 31 [ 14 0 331 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 Stopped by limit on insertions
% 18.88/19.06
% 18.88/19.06 Model 32 [ 16 1 8239 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 ----> UNIT CONFLICT at 18.64 sec ----> 4824 [binary,4822.1,5.1] {+} $F.
% 18.88/19.06
% 18.88/19.06 Length of proof is 49. Level of proof is 20.
% 18.88/19.06
% 18.88/19.06 ---------------- PROOF ----------------
% 18.88/19.06 % SZS status Unsatisfiable
% 18.88/19.06 % SZS output start Refutation
% 18.88/19.06
% 18.88/19.06 1 [] {+} -product(A,e_1,B)| -next(A,C)| -greater(B,C).
% 18.88/19.06 2 [] {-} -equalish(e_1,e_2).
% 18.88/19.06 3 [copy,2,flip.1] {+} -equalish(e_2,e_1).
% 18.88/19.06 4 [] {-} -equalish(e_1,e_3).
% 18.88/19.06 5 [copy,4,flip.1] {+} -equalish(e_3,e_1).
% 18.88/19.06 6 [] {-} -equalish(e_2,e_3).
% 18.88/19.06 7 [copy,6,flip.1] {+} -equalish(e_3,e_2).
% 18.88/19.06 8 [] {+} -group_element(A)| -group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3).
% 18.88/19.06 9 [] {+} -product(A,B,C)| -product(A,B,D)|equalish(C,D).
% 18.88/19.06 10 [] {+} -product(A,B,C)| -product(A,D,C)|equalish(B,D).
% 18.88/19.06 11 [] {+} -product(A,B,C)| -product(D,B,C)|equalish(A,D).
% 18.88/19.06 12 [] {+} -product(A,B,C)| -product(B,A,D)|product(C,D,B).
% 18.88/19.06 13 [factor,8.1.2] {+} -group_element(A)|product(A,A,e_1)|product(A,A,e_2)|product(A,A,e_3).
% 18.88/19.06 17 [factor,12.1.2] {+} -product(A,A,B)|product(B,B,A).
% 18.88/19.06 18 [] {+} next(e_1,e_2).
% 18.88/19.06 22 [] {+} greater(e_3,e_2).
% 18.88/19.06 23 [] {-} group_element(e_1).
% 18.88/19.06 24 [] {+} group_element(e_2).
% 18.88/19.06 25 [] {+} group_element(e_3).
% 18.88/19.06 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).
% 18.88/19.06 36 [hyper,25,13] {-} product(e_3,e_3,e_1)|product(e_3,e_3,e_2)|product(e_3,e_3,e_3).
% 18.88/19.06 37 [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).
% 18.88/19.06 38 [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).
% 18.88/19.06 42 [hyper,24,13] {-} product(e_2,e_2,e_1)|product(e_2,e_2,e_2)|product(e_2,e_2,e_3).
% 18.88/19.06 43 [hyper,24,8,25] {-} product(e_3,e_2,e_1)|product(e_3,e_2,e_2)|product(e_3,e_2,e_3).
% 18.88/19.06 44 [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).
% 18.88/19.06 45 [hyper,24,8,25] {-} product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_2,e_3,e_3).
% 18.88/19.06 255 [hyper,32,1,18,22] {+} product(e_1,e_1,e_1)|product(e_1,e_1,e_2).
% 18.88/19.06 257 [hyper,255,17] {+} product(e_1,e_1,e_1)|product(e_2,e_2,e_1).
% 18.88/19.06 569 [hyper,36,17] {-} product(e_3,e_3,e_2)|product(e_3,e_3,e_3)|product(e_1,e_1,e_3).
% 18.88/19.06 785 [hyper,38,11,255,unit_del,5] {-} product(e_3,e_1,e_2)|product(e_3,e_1,e_3)|product(e_1,e_1,e_2).
% 18.88/19.06 922 [hyper,42,17] {-} product(e_2,e_2,e_2)|product(e_2,e_2,e_3)|product(e_1,e_1,e_2).
% 18.88/19.06 1181 [hyper,44,10,257,unit_del,3] {-} product(e_1,e_2,e_2)|product(e_1,e_2,e_3)|product(e_2,e_2,e_1).
% 18.88/19.06 1858 [hyper,569,1,18,22] {+} product(e_3,e_3,e_2)|product(e_3,e_3,e_3).
% 18.88/19.06 1873 [hyper,1858,17] {+} product(e_3,e_3,e_3)|product(e_2,e_2,e_3).
% 18.88/19.06 2392 [hyper,1181,11,44,unit_del,3,factor_simp,factor_simp] {-} product(e_1,e_2,e_2)|product(e_1,e_2,e_3).
% 18.88/19.06 2426 [hyper,2392,11,922,unit_del,3] {-} product(e_1,e_2,e_3)|product(e_2,e_2,e_3)|product(e_1,e_1,e_2).
% 18.88/19.06 2427 [hyper,2392,11,43,unit_del,5] {-} product(e_1,e_2,e_3)|product(e_3,e_2,e_1)|product(e_3,e_2,e_3).
% 18.88/19.06 2429 [hyper,2392,10,785,unit_del,3] {-} product(e_1,e_2,e_3)|product(e_3,e_1,e_2)|product(e_3,e_1,e_3).
% 18.88/19.06 2431 [hyper,2392,10,37,unit_del,7] {-} product(e_1,e_2,e_3)|product(e_1,e_3,e_1)|product(e_1,e_3,e_3).
% 18.88/19.06 3218 [hyper,2426,10,2392,unit_del,3,factor_simp] {-} product(e_1,e_2,e_3)|product(e_2,e_2,e_3).
% 18.88/19.06 3267 [hyper,3218,17] {-} product(e_1,e_2,e_3)|product(e_3,e_3,e_2).
% 18.88/19.06 3371 [hyper,2427,11,3218,unit_del,7,factor_simp] {-} product(e_1,e_2,e_3)|product(e_3,e_2,e_1).
% 18.88/19.06 3427 [hyper,3371,11,43,unit_del,5,factor_simp] {-} product(e_3,e_2,e_1)|product(e_3,e_2,e_2).
% 18.88/19.06 3484 [hyper,3427,11,257,unit_del,7] {-} product(e_3,e_2,e_2)|product(e_1,e_1,e_1).
% 18.88/19.06 3578 [hyper,2429,10,3267,unit_del,5,factor_simp] {-} product(e_1,e_2,e_3)|product(e_3,e_1,e_3).
% 18.88/19.06 3672 [hyper,2431,12,3578,factor_simp,factor_simp] {-} product(e_1,e_2,e_3)|product(e_1,e_3,e_3).
% 18.88/19.06 3704 [hyper,3672,12,3578,factor_simp] {-} product(e_1,e_2,e_3)|product(e_3,e_3,e_1).
% 18.88/19.06 3790 [hyper,3704,12,3267,factor_simp,factor_simp] {+} product(e_1,e_2,e_3).
% 18.88/19.06 3813 [hyper,3790,11,922,unit_del,3] {+} product(e_2,e_2,e_2)|product(e_1,e_1,e_2).
% 18.88/19.06 3815 [hyper,3790,10,37,unit_del,7] {-} product(e_1,e_3,e_1)|product(e_1,e_3,e_2).
% 18.88/19.06 4011 [hyper,3484,10,3815,unit_del,5] {-} product(e_3,e_2,e_2)|product(e_1,e_3,e_2).
% 18.88/19.06 4091 [hyper,3813,10,3815,unit_del,5] {-} product(e_2,e_2,e_2)|product(e_1,e_3,e_1).
% 18.88/19.06 4092 [hyper,3813,9,3484,unit_del,3] {+} product(e_2,e_2,e_2)|product(e_3,e_2,e_2).
% 18.88/19.06 4312 [hyper,1873,11,3790,unit_del,3] {+} product(e_3,e_3,e_3).
% 18.88/19.06 4402 [hyper,4312,11,45,unit_del,7] {-} product(e_2,e_3,e_1)|product(e_2,e_3,e_2).
% 18.88/19.06 4495 [hyper,4402,11,4091,unit_del,3] {+} product(e_2,e_3,e_2)|product(e_2,e_2,e_2).
% 18.88/19.06 4590 [hyper,4495,12,4092,factor_simp,factor_simp] {+} product(e_2,e_2,e_2).
% 18.88/19.06 4626 [hyper,4590,11,4011,unit_del,7] {+} product(e_1,e_3,e_2).
% 18.88/19.06 4628 [hyper,4590,11,3427,unit_del,7] {+} product(e_3,e_2,e_1).
% 18.88/19.06 4629 [hyper,4590,10,4402,unit_del,7] {+} product(e_2,e_3,e_1).
% 18.88/19.06 4733 [hyper,4629,12,4628] {+} product(e_1,e_1,e_2).
% 18.88/19.06 4822 [hyper,4733,10,4626] {-} equalish(e_3,e_1).
% 18.88/19.06 4824 [binary,4822.1,5.1] {+} $F.
% 18.88/19.06
% 18.88/19.06 % SZS output end Refutation
% 18.88/19.06 ------------ end of proof -------------
% 18.88/19.06
% 18.88/19.06
% 18.88/19.06 Search stopped by max_proofs option.
% 18.88/19.06
% 18.88/19.06
% 18.88/19.06 Search stopped by max_proofs option.
% 18.88/19.06
% 18.88/19.06 ============ end of search ============
% 18.88/19.06
% 18.88/19.06 ----------- soft-scott stats ----------
% 18.88/19.06
% 18.88/19.06 true clauses given 39 (24.1%)
% 18.88/19.06 false clauses given 123
% 18.88/19.06
% 18.88/19.06 FALSE TRUE
% 18.88/19.06 4 1 0
% 18.88/19.06 6 0 1
% 18.88/19.06 8 2 1
% 18.88/19.06 11 0 15
% 18.88/19.06 12 70 8
% 18.88/19.06 14 24 48
% 18.88/19.06 15 40 365
% 18.88/19.06 16 2 19
% 18.88/19.06 18 18 78
% 18.88/19.06 19 27 108
% 18.88/19.06 20 36 72
% 18.88/19.06 22 0 72
% 18.88/19.06 26 0 9
% 18.88/19.06 tot: 220 796 (78.3% true)
% 18.88/19.06
% 18.88/19.06
% 18.88/19.06 Model 32 [ 16 1 8239 ] (0.00 seconds, 250000 Inserts)
% 18.88/19.06
% 18.88/19.06 That finishes the proof of the theorem.
% 18.88/19.06
% 18.88/19.06 Process 2850 finished Tue Jun 14 03:46:02 2022
%------------------------------------------------------------------------------