%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP124-8.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n003.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 11:41:34 EDT 2022
% Result : Unsatisfiable 29.26s 29.47s
% Output : Refutation 29.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP124-8.004 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.14 % Command : sos-script %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 23:24:39 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.38 ----- Otter 3.2, August 2001 -----
% 0.21/0.38 The process was started by sandbox on n003.cluster.edu,
% 0.21/0.38 Mon Jun 13 23:24:39 2022
% 0.21/0.38 The command was "./sos". The process ID is 16379.
% 0.21/0.38
% 0.21/0.38 set(prolog_style_variables).
% 0.21/0.38 set(auto).
% 0.21/0.38 dependent: set(auto1).
% 0.21/0.38 dependent: set(process_input).
% 0.21/0.38 dependent: clear(print_kept).
% 0.21/0.38 dependent: clear(print_new_demod).
% 0.21/0.38 dependent: clear(print_back_demod).
% 0.21/0.38 dependent: clear(print_back_sub).
% 0.21/0.38 dependent: set(control_memory).
% 0.21/0.38 dependent: assign(max_mem, 12000).
% 0.21/0.38 dependent: assign(pick_given_ratio, 4).
% 0.21/0.38 dependent: assign(stats_level, 1).
% 0.21/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.38 dependent: assign(sos_limit, 5000).
% 0.21/0.38 dependent: assign(max_weight, 60).
% 0.21/0.38 clear(print_given).
% 0.21/0.38
% 0.21/0.38 list(usable).
% 0.21/0.38
% 0.21/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.21/0.38
% 0.21/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.21/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.21/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.21/0.38 clauses in usable.
% 0.21/0.38
% 0.21/0.38 dependent: set(knuth_bendix).
% 0.21/0.38 dependent: set(para_from).
% 0.21/0.38 dependent: set(para_into).
% 0.21/0.38 dependent: clear(para_from_right).
% 0.21/0.38 dependent: clear(para_into_right).
% 0.21/0.38 dependent: set(para_from_vars).
% 0.21/0.38 dependent: set(eq_units_both_ways).
% 0.21/0.38 dependent: set(dynamic_demod_all).
% 0.21/0.38 dependent: set(dynamic_demod).
% 0.21/0.38 dependent: set(order_eq).
% 0.21/0.38 dependent: set(back_demod).
% 0.21/0.38 dependent: set(lrpo).
% 0.21/0.38 dependent: set(hyper_res).
% 0.21/0.38 dependent: set(unit_deletion).
% 0.21/0.38 dependent: set(factor).
% 0.21/0.38
% 0.21/0.38 ------------> process usable:
% 0.21/0.38 Following clause subsumed by 8 during input processing: 0 [] {-} -equalish(e_2,e_1).
% 0.21/0.38 Following clause subsumed by 10 during input processing: 0 [] {-} -equalish(e_3,e_1).
% 0.21/0.38 Following clause subsumed by 14 during input processing: 0 [] {-} -equalish(e_3,e_2).
% 0.21/0.38 Following clause subsumed by 12 during input processing: 0 [] {-} -equalish(e_4,e_1).
% 0.21/0.38 Following clause subsumed by 16 during input processing: 0 [] {-} -equalish(e_4,e_2).
% 0.21/0.38 Following clause subsumed by 18 during input processing: 0 [] {-} -equalish(e_4,e_3).
% 0.21/0.38
% 0.21/0.38 ------------> process sos:
% 0.21/0.38 69 back subsumes 43.
% 0.21/0.38
% 0.21/0.38 ======= end of input processing =======
% 0.38/0.59
% 0.38/0.59 Stopped by limit on insertions
% 0.38/0.59
% 0.38/0.59
% 0.38/0.59 Failed to model usable list: disabling FINDER
% 0.38/0.59
% 0.38/0.59
% 0.38/0.59
% 0.38/0.59 -------------- Softie stats --------------
% 0.38/0.59
% 0.38/0.59 UPDATE_STOP: 300
% 0.38/0.59 SFINDER_TIME_LIMIT: 2
% 0.38/0.59 SHORT_CLAUSE_CUTOFF: 4
% 0.38/0.59 number of clauses in intial UL: 41
% 0.38/0.59 number of clauses initially in problem: 62
% 0.38/0.59 percentage of clauses intially in UL: 66
% 0.38/0.59 percentage of distinct symbols occuring in initial UL: 100
% 0.38/0.59 percent of all initial clauses that are short: 100
% 0.38/0.59 absolute distinct symbol count: 13
% 0.38/0.59 distinct predicate count: 8
% 0.38/0.59 distinct function count: 0
% 0.38/0.59 distinct constant count: 5
% 0.38/0.59
% 0.38/0.59 ---------- no more Softie stats ----------
% 0.38/0.59
% 0.38/0.59
% 0.38/0.59
% 0.38/0.59 =========== start of search ===========
% 6.89/7.08
% 6.89/7.08
% 6.89/7.08 Changing weight limit from 60 to 28.
% 6.89/7.08
% 6.89/7.08 Resetting weight limit to 28 after 135 givens.
% 6.89/7.08
% 7.49/7.69
% 7.49/7.69
% 7.49/7.69 Changing weight limit from 28 to 25.
% 7.49/7.69
% 7.49/7.69 Resetting weight limit to 25 after 140 givens.
% 7.49/7.69
% 7.86/8.07
% 7.86/8.07
% 7.86/8.07 Changing weight limit from 25 to 24.
% 7.86/8.07
% 7.86/8.07 Resetting weight limit to 24 after 145 givens.
% 7.86/8.07
% 8.50/8.76
% 8.50/8.76
% 8.50/8.76 Changing weight limit from 24 to 23.
% 8.50/8.76
% 8.50/8.76 Resetting weight limit to 23 after 150 givens.
% 8.50/8.76
% 9.48/9.67
% 9.48/9.67
% 9.48/9.67 Changing weight limit from 23 to 22.
% 9.48/9.67
% 9.48/9.67 Resetting weight limit to 22 after 160 givens.
% 9.48/9.67
% 10.98/11.17
% 10.98/11.17
% 10.98/11.17 Changing weight limit from 22 to 21.
% 10.98/11.17
% 10.98/11.17 Resetting weight limit to 21 after 165 givens.
% 10.98/11.17
% 12.04/12.22
% 12.04/12.22
% 12.04/12.22 Changing weight limit from 21 to 20.
% 12.04/12.22
% 12.04/12.22 Resetting weight limit to 20 after 180 givens.
% 12.04/12.22
% 13.46/13.69
% 13.46/13.69
% 13.46/13.69 Changing weight limit from 20 to 19.
% 13.46/13.69
% 13.46/13.69 Resetting weight limit to 19 after 200 givens.
% 13.46/13.69
% 19.00/19.21
% 19.00/19.21
% 19.00/19.21 Changing weight limit from 19 to 18.
% 19.00/19.21
% 19.00/19.21 Resetting weight limit to 18 after 275 givens.
% 19.00/19.21
% 25.89/26.09
% 25.89/26.09
% 25.89/26.09 Changing weight limit from 18 to 17.
% 25.89/26.09
% 25.89/26.09 Modelling stopped after 300 given clauses and 0.00 seconds
% 25.89/26.09
% 25.89/26.09
% 25.89/26.09 Resetting weight limit to 17 after 610 givens.
% 25.89/26.09
% 29.26/29.47
% 29.26/29.47 -- HEY sandbox, WE HAVE A PROOF!! --
% 29.26/29.47
% 29.26/29.47 ----> UNIT CONFLICT at 29.06 sec ----> 12607 [binary,12605.1,14.1] {-} $F.
% 29.26/29.47
% 29.26/29.47 Length of proof is 39. Level of proof is 13.
% 29.26/29.47
% 29.26/29.47 ---------------- PROOF ----------------
% 29.26/29.47 % SZS status Unsatisfiable
% 29.26/29.47 % SZS output start Refutation
% 29.26/29.47
% 29.26/29.47 7 [] {-} -equalish(e_1,e_2).
% 29.26/29.47 8 [copy,7,flip.1] {+} -equalish(e_2,e_1).
% 29.26/29.47 9 [] {-} -equalish(e_1,e_3).
% 29.26/29.47 10 [copy,9,flip.1] {+} -equalish(e_3,e_1).
% 29.26/29.47 11 [] {-} -equalish(e_1,e_4).
% 29.26/29.47 12 [copy,11,flip.1] {+} -equalish(e_4,e_1).
% 29.26/29.47 13 [] {-} -equalish(e_2,e_3).
% 29.26/29.47 14 [copy,13,flip.1] {+} -equalish(e_3,e_2).
% 29.26/29.47 15 [] {-} -equalish(e_2,e_4).
% 29.26/29.47 16 [copy,15,flip.1] {+} -equalish(e_4,e_2).
% 29.26/29.47 19 [] {+} -group_element(A)| -group_element(B)|product1(A,B,e_1)|product1(A,B,e_2)|product1(A,B,e_3)|product1(A,B,e_4).
% 29.26/29.47 21 [] {+} -product1(A,B,C)| -product1(A,D,C)|equalish(B,D).
% 29.26/29.47 22 [] {+} -product1(A,B,C)| -product1(D,B,C)|equalish(A,D).
% 29.26/29.47 23 [] {+} -group_element(A)| -group_element(B)|product2(A,B,e_1)|product2(A,B,e_2)|product2(A,B,e_3)|product2(A,B,e_4).
% 29.26/29.47 24 [] {+} -product2(A,B,C)| -product2(A,B,D)|equalish(C,D).
% 29.26/29.47 25 [] {+} -product2(A,B,C)| -product2(A,D,C)|equalish(B,D).
% 29.26/29.47 26 [] {+} -product2(A,B,C)| -product2(D,B,C)|equalish(A,D).
% 29.26/29.47 27 [] {+} -product1(A,B,C)| -product1(C,A,D)|product2(D,B,A).
% 29.26/29.47 64 [] {-} group_element(e_1).
% 29.26/29.47 65 [] {-} group_element(e_2).
% 29.26/29.47 66 [] {-} group_element(e_3).
% 29.26/29.47 68 [] {-} product1(A,A,A).
% 29.26/29.48 69 [] {-} product2(A,A,A).
% 29.26/29.48 106 [hyper,65,19,64] {-} product1(e_1,e_2,e_1)|product1(e_1,e_2,e_2)|product1(e_1,e_2,e_3)|product1(e_1,e_2,e_4).
% 29.26/29.48 107 [hyper,65,19,64] {-} product1(e_2,e_1,e_1)|product1(e_2,e_1,e_2)|product1(e_2,e_1,e_3)|product1(e_2,e_1,e_4).
% 29.26/29.48 120 [hyper,66,23,65] {-} product2(e_2,e_3,e_1)|product2(e_2,e_3,e_2)|product2(e_2,e_3,e_3)|product2(e_2,e_3,e_4).
% 29.26/29.48 121 [hyper,66,23,64] {-} product2(e_1,e_3,e_1)|product2(e_1,e_3,e_2)|product2(e_1,e_3,e_3)|product2(e_1,e_3,e_4).
% 29.26/29.48 124 [hyper,66,19,65] {-} product1(e_2,e_3,e_1)|product1(e_2,e_3,e_2)|product1(e_2,e_3,e_3)|product1(e_2,e_3,e_4).
% 29.26/29.48 125 [hyper,66,19,64] {-} product1(e_1,e_3,e_1)|product1(e_1,e_3,e_2)|product1(e_1,e_3,e_3)|product1(e_1,e_3,e_4).
% 29.26/29.48 5802 [hyper,106,21,68,unit_del,8] {-} product1(e_1,e_2,e_2)|product1(e_1,e_2,e_3)|product1(e_1,e_2,e_4).
% 29.26/29.48 5896 [hyper,107,22,68,unit_del,8] {-} product1(e_2,e_1,e_2)|product1(e_2,e_1,e_3)|product1(e_2,e_1,e_4).
% 29.26/29.48 6553 [hyper,120,25,69,unit_del,14] {-} product2(e_2,e_3,e_1)|product2(e_2,e_3,e_3)|product2(e_2,e_3,e_4).
% 29.26/29.48 6703 [hyper,121,25,69,unit_del,10] {-} product2(e_1,e_3,e_2)|product2(e_1,e_3,e_3)|product2(e_1,e_3,e_4).
% 29.26/29.48 7046 [hyper,124,21,68,unit_del,14] {-} product1(e_2,e_3,e_1)|product1(e_2,e_3,e_3)|product1(e_2,e_3,e_4).
% 29.26/29.48 7126 [hyper,125,21,68,unit_del,10] {-} product1(e_1,e_3,e_2)|product1(e_1,e_3,e_3)|product1(e_1,e_3,e_4).
% 29.26/29.48 10315 [hyper,5802,22,68,unit_del,8] {-} product1(e_1,e_2,e_3)|product1(e_1,e_2,e_4).
% 29.26/29.48 10504 [hyper,5896,21,68,unit_del,8] {-} product1(e_2,e_1,e_3)|product1(e_2,e_1,e_4).
% 29.26/29.48 10704 [hyper,6553,26,69,unit_del,14] {-} product2(e_2,e_3,e_1)|product2(e_2,e_3,e_4).
% 29.26/29.48 10911 [hyper,6703,26,69,unit_del,10] {-} product2(e_1,e_3,e_2)|product2(e_1,e_3,e_4).
% 29.26/29.48 10944 [hyper,10911,26,10704,unit_del,8] {-} product2(e_1,e_3,e_2)|product2(e_2,e_3,e_1).
% 29.26/29.48 11588 [hyper,7046,22,68,unit_del,14] {-} product1(e_2,e_3,e_1)|product1(e_2,e_3,e_4).
% 29.26/29.48 11610 [hyper,11588,21,10504,unit_del,10] {-} product1(e_2,e_3,e_1)|product1(e_2,e_1,e_3).
% 29.26/29.48 11772 [hyper,7126,22,68,unit_del,10] {-} product1(e_1,e_3,e_2)|product1(e_1,e_3,e_4).
% 29.26/29.48 11808 [hyper,11772,22,11588,unit_del,8] {-} product1(e_1,e_3,e_2)|product1(e_2,e_3,e_1).
% 29.26/29.48 11809 [hyper,11772,21,10315,unit_del,14] {-} product1(e_1,e_3,e_2)|product1(e_1,e_2,e_3).
% 29.26/29.48 11882 [hyper,11808,27,11610,factor_simp] {-} product1(e_2,e_3,e_1)|product2(e_3,e_3,e_1).
% 29.26/29.48 11940 [hyper,11809,27,11808,factor_simp] {-} product1(e_1,e_3,e_2)|product2(e_3,e_3,e_2).
% 29.26/29.48 12052 [hyper,11882,24,69,unit_del,10] {-} product1(e_2,e_3,e_1).
% 29.26/29.48 12054 [hyper,12052,27,10315] {-} product2(e_3,e_3,e_2)|product1(e_1,e_2,e_4).
% 29.26/29.48 12143 [hyper,11940,24,69,unit_del,14] {-} product1(e_1,e_3,e_2).
% 29.26/29.48 12144 [hyper,12143,27,10504] {-} product2(e_4,e_3,e_1)|product1(e_2,e_1,e_3).
% 29.26/29.48 12324 [hyper,12054,24,69,unit_del,14] {-} product1(e_1,e_2,e_4).
% 29.26/29.48 12325 [hyper,12324,27,12052] {-} product2(e_4,e_3,e_2).
% 29.26/29.48 12393 [hyper,12325,26,10944,unit_del,12] {-} product2(e_2,e_3,e_1).
% 29.26/29.48 12542 [hyper,12144,26,12393,unit_del,16] {-} product1(e_2,e_1,e_3).
% 29.26/29.48 12543 [hyper,12542,27,12143] {-} product2(e_3,e_3,e_1).
% 29.26/29.48 12605 [hyper,12543,26,12393,flip.1] {-} equalish(e_3,e_2).
% 29.26/29.48 12607 [binary,12605.1,14.1] {-} $F.
% 29.26/29.48
% 29.26/29.48 % SZS output end Refutation
% 29.26/29.48 ------------ end of proof -------------
% 29.26/29.48
% 29.26/29.48
% 29.26/29.48 Search stopped by max_proofs option.
% 29.26/29.48
% 29.26/29.48
% 29.26/29.48 Search stopped by max_proofs option.
% 29.26/29.48
% 29.26/29.48 ============ end of search ============
% 29.26/29.48
% 29.26/29.48 That finishes the proof of the theorem.
% 29.26/29.48
% 29.26/29.48 Process 16379 finished Mon Jun 13 23:25:09 2022
%------------------------------------------------------------------------------