TSTP Solution File: GRP126-4.004 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP126-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.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 11:41:39 EDT 2022
% Result : Unsatisfiable 2.54s 2.74s
% Output : Refutation 2.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP126-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n018.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 14 12:06:13 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 n018.cluster.edu,
% 0.12/0.35 Tue Jun 14 12:06:13 2022
% 0.12/0.35 The command was "./sos". The process ID is 7564.
% 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 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 Following clause subsumed by 6 during input processing: 0 [] {-} -equalish(e_2,e_1).
% 0.12/0.35 Following clause subsumed by 8 during input processing: 0 [] {-} -equalish(e_3,e_1).
% 0.12/0.35 Following clause subsumed by 12 during input processing: 0 [] {-} -equalish(e_3,e_2).
% 0.12/0.35 Following clause subsumed by 10 during input processing: 0 [] {-} -equalish(e_4,e_1).
% 0.12/0.35 Following clause subsumed by 14 during input processing: 0 [] {-} -equalish(e_4,e_2).
% 0.12/0.35 Following clause subsumed by 16 during input processing: 0 [] {-} -equalish(e_4,e_3).
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35
% 0.12/0.35 ======= 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: 22
% 0.12/0.39 number of clauses initially in problem: 27
% 0.12/0.39 percentage of clauses intially in UL: 81
% 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: 7
% 0.12/0.39 distinct predicate count: 3
% 0.12/0.39 distinct function count: 0
% 0.12/0.39 distinct constant count: 4
% 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 =========== start of search ===========
% 2.54/2.74
% 2.54/2.74 -------- PROOF --------
% 2.54/2.74 % SZS status Unsatisfiable
% 2.54/2.74 % SZS output start Refutation
% 2.54/2.74
% 2.54/2.74 Model 2 (0.00 seconds, 0 Inserts)
% 2.54/2.74
% 2.54/2.74 Stopped by limit on number of solutions
% 2.54/2.74
% 2.54/2.74 Model 3 [ 1 3 6786 ] (0.00 seconds, 23050 Inserts)
% 2.54/2.74
% 2.54/2.74 Model 4 [ 2 0 78 ] (0.00 seconds, 37789 Inserts)
% 2.54/2.74
% 2.54/2.74 Model 5 [ 4 1 1038 ] (0.00 seconds, 31477 Inserts)
% 2.54/2.74
% 2.54/2.74 Model 6 [ 13 0 185 ] (0.00 seconds, 2282 Inserts)
% 2.54/2.74
% 2.54/2.74 ----> UNIT CONFLICT at 2.35 sec ----> 1978 [binary,1976.1,8.1] {-} $F.
% 2.54/2.74
% 2.54/2.74 Length of proof is 35. Level of proof is 14.
% 2.54/2.74
% 2.54/2.74 ---------------- PROOF ----------------
% 2.54/2.74 % SZS status Unsatisfiable
% 2.54/2.74 % SZS output start Refutation
% 2.54/2.74
% 2.54/2.74 1 [] {+} -group_element(A)| -group_element(B)|product(e_1,A,B)|product(e_2,A,B)|product(e_3,A,B)|product(e_4,A,B).
% 2.54/2.74 2 [] {+} -group_element(A)| -group_element(B)|product(A,e_1,B)|product(A,e_2,B)|product(A,e_3,B)|product(A,e_4,B).
% 2.54/2.74 4 [] {+} product(A,B,C)| -product(D,C,A)| -product(B,A,D).
% 2.54/2.74 5 [] {-} -equalish(e_1,e_2).
% 2.54/2.74 6 [copy,5,flip.1] {+} -equalish(e_2,e_1).
% 2.54/2.74 7 [] {-} -equalish(e_1,e_3).
% 2.54/2.74 8 [copy,7,flip.1] {+} -equalish(e_3,e_1).
% 2.54/2.74 9 [] {-} -equalish(e_1,e_4).
% 2.54/2.74 10 [copy,9,flip.1] {+} -equalish(e_4,e_1).
% 2.54/2.74 11 [] {-} -equalish(e_2,e_3).
% 2.54/2.74 12 [copy,11,flip.1] {+} -equalish(e_3,e_2).
% 2.54/2.74 13 [] {-} -equalish(e_2,e_4).
% 2.54/2.74 14 [copy,13,flip.1] {+} -equalish(e_4,e_2).
% 2.54/2.74 17 [] {+} -group_element(A)| -group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3)|product(A,B,e_4).
% 2.54/2.74 18 [] {+} -product(A,B,C)| -product(A,B,D)|equalish(C,D).
% 2.54/2.74 19 [] {+} -product(A,B,C)| -product(A,D,C)|equalish(B,D).
% 2.54/2.74 20 [] {+} -product(A,B,C)| -product(D,B,C)|equalish(A,D).
% 2.54/2.74 21 [] {+} -product(A,B,C)| -product(B,A,D)|product(C,D,B).
% 2.54/2.74 29 [] {+} group_element(e_1).
% 2.54/2.74 30 [] {+} group_element(e_2).
% 2.54/2.74 33 [] {-} product(A,A,A).
% 2.54/2.74 37 [hyper,30,17,29] {-} product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3)|product(e_1,e_2,e_4).
% 2.54/2.74 38 [hyper,30,17,29] {-} product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3)|product(e_2,e_1,e_4).
% 2.54/2.74 40 [hyper,30,2,29] {-} product(e_2,e_1,e_1)|product(e_2,e_2,e_1)|product(e_2,e_3,e_1)|product(e_2,e_4,e_1).
% 2.54/2.74 41 [hyper,30,1,29] {-} product(e_1,e_1,e_2)|product(e_2,e_1,e_2)|product(e_3,e_1,e_2)|product(e_4,e_1,e_2).
% 2.54/2.74 116 [hyper,37,19,33,unit_del,6] {-} product(e_1,e_2,e_2)|product(e_1,e_2,e_3)|product(e_1,e_2,e_4).
% 2.54/2.74 129 [hyper,116,20,33,unit_del,6] {-} product(e_1,e_2,e_3)|product(e_1,e_2,e_4).
% 2.54/2.74 158 [hyper,38,20,33,unit_del,6] {-} product(e_2,e_1,e_2)|product(e_2,e_1,e_3)|product(e_2,e_1,e_4).
% 2.54/2.74 176 [hyper,158,19,33,unit_del,6] {-} product(e_2,e_1,e_3)|product(e_2,e_1,e_4).
% 2.54/2.74 191 [hyper,176,21,129] {-} product(e_2,e_1,e_4)|product(e_3,e_3,e_2)|product(e_1,e_2,e_4).
% 2.54/2.74 194 [hyper,176,21,129] {-} product(e_2,e_1,e_3)|product(e_4,e_4,e_2)|product(e_1,e_2,e_3).
% 2.54/2.74 299 [hyper,40,20,33,unit_del,6] {-} product(e_2,e_2,e_1)|product(e_2,e_3,e_1)|product(e_2,e_4,e_1).
% 2.54/2.74 318 [hyper,191,18,33,unit_del,12] {-} product(e_2,e_1,e_4)|product(e_1,e_2,e_4).
% 2.54/2.74 324 [hyper,318,21,176,factor_simp] {-} product(e_2,e_1,e_4)|product(e_3,e_4,e_1).
% 2.54/2.74 325 [hyper,318,21,176,factor_simp] {-} product(e_2,e_1,e_4)|product(e_4,e_3,e_2).
% 2.54/2.74 390 [hyper,41,18,33,unit_del,6] {-} product(e_2,e_1,e_2)|product(e_3,e_1,e_2)|product(e_4,e_1,e_2).
% 2.54/2.74 553 [hyper,194,18,33,unit_del,14] {-} product(e_2,e_1,e_3)|product(e_1,e_2,e_3).
% 2.54/2.74 557 [hyper,553,21,129,factor_simp] {-} product(e_1,e_2,e_3)|product(e_4,e_3,e_2).
% 2.54/2.74 561 [hyper,553,21,129,factor_simp] {-} product(e_1,e_2,e_3)|product(e_3,e_4,e_1).
% 2.54/2.74 591 [hyper,557,21,325,factor_simp] {-} product(e_4,e_3,e_2)|product(e_4,e_3,e_1).
% 2.54/2.74 616 [hyper,561,21,324,factor_simp] {-} product(e_3,e_4,e_1)|product(e_3,e_4,e_2).
% 2.54/2.74 946 [hyper,299,18,33,unit_del,6] {-} product(e_2,e_3,e_1)|product(e_2,e_4,e_1).
% 2.54/2.74 963 [hyper,946,20,616,unit_del,12] {-} product(e_2,e_3,e_1)|product(e_3,e_4,e_2).
% 2.54/2.74 1330 [hyper,390,19,33,unit_del,6] {-} product(e_3,e_1,e_2)|product(e_4,e_1,e_2).
% 2.54/2.74 1403 [hyper,1330,19,963,unit_del,10] {-} product(e_4,e_1,e_2)|product(e_2,e_3,e_1).
% 2.54/2.74 1436 [hyper,1330,19,591,unit_del,8] {-} product(e_3,e_1,e_2)|product(e_4,e_3,e_1).
% 2.54/2.74 1480 [hyper,1403,4,946,factor_simp] {-} product(e_2,e_3,e_1)|product(e_1,e_4,e_4).
% 2.54/2.74 1882 [hyper,1480,20,33,unit_del,10] {-} product(e_2,e_3,e_1).
% 2.54/2.74 1883 [hyper,1882,20,1436,unit_del,14] {-} product(e_3,e_1,e_2).
% 2.54/2.74 1909 [hyper,1883,4,1882] {+} product(e_1,e_3,e_3).
% 2.54/2.74 1976 [hyper,1909,20,33] {-} equalish(e_3,e_1).
% 2.54/2.74 1978 [binary,1976.1,8.1] {-} $F.
% 2.54/2.74
% 2.54/2.74 % SZS output end Refutation
% 2.54/2.74 ------------ end of proof -------------
% 2.54/2.74
% 2.54/2.74
% 2.54/2.74 Search stopped by max_proofs option.
% 2.54/2.74
% 2.54/2.74
% 2.54/2.74 Search stopped by max_proofs option.
% 2.54/2.74
% 2.54/2.74 ============ end of search ============
% 2.54/2.74
% 2.54/2.74 ----------- soft-scott stats ----------
% 2.54/2.74
% 2.54/2.74 true clauses given 9 (9.6%)
% 2.54/2.74 false clauses given 85
% 2.54/2.74
% 2.54/2.74 FALSE TRUE
% 2.54/2.74 4 1 0
% 2.54/2.74 10 1 2
% 2.54/2.74 12 33 35
% 2.54/2.74 14 28 44
% 2.54/2.74 16 11 0
% 2.54/2.74 18 11 16
% 2.54/2.74 20 6 0
% 2.54/2.74 tot: 91 97 (51.6% true)
% 2.54/2.74
% 2.54/2.74
% 2.54/2.74 Model 6 [ 13 0 185 ] (0.00 seconds, 2282 Inserts)
% 2.54/2.74
% 2.54/2.74 That finishes the proof of the theorem.
% 2.54/2.74
% 2.54/2.74 Process 7564 finished Tue Jun 14 12:06:16 2022
%------------------------------------------------------------------------------