TSTP Solution File: GRP126-1.004 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP126-1.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n011.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 11:41:37 EDT 2022
% Result : Unsatisfiable 0.61s 0.84s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP126-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.10/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n011.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 : Mon Jun 13 07:35:03 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 n011.cluster.edu,
% 0.12/0.35 Mon Jun 13 07:35:03 2022
% 0.12/0.35 The command was "./sos". The process ID is 8561.
% 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 2 during input processing: 0 [] {-} -equalish(e_2,e_1).
% 0.12/0.35 Following clause subsumed by 4 during input processing: 0 [] {-} -equalish(e_3,e_1).
% 0.12/0.35 Following clause subsumed by 8 during input processing: 0 [] {-} -equalish(e_3,e_2).
% 0.12/0.35 Following clause subsumed by 6 during input processing: 0 [] {-} -equalish(e_4,e_1).
% 0.12/0.35 Following clause subsumed by 10 during input processing: 0 [] {-} -equalish(e_4,e_2).
% 0.12/0.35 Following clause subsumed by 12 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 =======
% 0.12/0.37
% 0.12/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.37
% 0.12/0.37 Stopped by limit on number of solutions
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 -------------- Softie stats --------------
% 0.12/0.37
% 0.12/0.37 UPDATE_STOP: 300
% 0.12/0.37 SFINDER_TIME_LIMIT: 2
% 0.12/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.37 number of clauses in intial UL: 16
% 0.12/0.37 number of clauses initially in problem: 21
% 0.12/0.37 percentage of clauses intially in UL: 76
% 0.12/0.37 percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.37 percent of all initial clauses that are short: 100
% 0.12/0.37 absolute distinct symbol count: 7
% 0.12/0.37 distinct predicate count: 3
% 0.12/0.37 distinct function count: 0
% 0.12/0.37 distinct constant count: 4
% 0.12/0.37
% 0.12/0.37 ---------- no more Softie stats ----------
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 =========== start of search ===========
% 0.61/0.84
% 0.61/0.84 -------- PROOF --------
% 0.61/0.84 % SZS status Unsatisfiable
% 0.61/0.84 % SZS output start Refutation
% 0.61/0.84
% 0.61/0.84 Model 2 (0.00 seconds, 0 Inserts)
% 0.61/0.84
% 0.61/0.84 Stopped by limit on number of solutions
% 0.61/0.84
% 0.61/0.84 Model 3 [ 1 1 168 ] (0.00 seconds, 30369 Inserts)
% 0.61/0.84
% 0.61/0.84 Model 4 [ 2 1 156 ] (0.00 seconds, 41732 Inserts)
% 0.61/0.84
% 0.61/0.84 ----> UNIT CONFLICT at 0.46 sec ----> 701 [binary,699.1,8.1] {-} $F.
% 0.61/0.84
% 0.61/0.84 Length of proof is 34. Level of proof is 13.
% 0.61/0.84
% 0.61/0.84 ---------------- PROOF ----------------
% 0.61/0.84 % SZS status Unsatisfiable
% 0.61/0.84 % SZS output start Refutation
% 0.61/0.84
% 0.61/0.84 1 [] {-} -equalish(e_1,e_2).
% 0.61/0.84 2 [copy,1,flip.1] {+} -equalish(e_2,e_1).
% 0.61/0.84 3 [] {-} -equalish(e_1,e_3).
% 0.61/0.84 4 [copy,3,flip.1] {+} -equalish(e_3,e_1).
% 0.61/0.84 5 [] {-} -equalish(e_1,e_4).
% 0.61/0.84 6 [copy,5,flip.1] {+} -equalish(e_4,e_1).
% 0.61/0.84 7 [] {-} -equalish(e_2,e_3).
% 0.61/0.84 8 [copy,7,flip.1] {+} -equalish(e_3,e_2).
% 0.61/0.84 9 [] {-} -equalish(e_2,e_4).
% 0.61/0.84 10 [copy,9,flip.1] {+} -equalish(e_4,e_2).
% 0.61/0.84 13 [] {+} -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).
% 0.61/0.84 14 [] {+} -product(A,B,C)| -product(A,B,D)|equalish(C,D).
% 0.61/0.84 15 [] {+} -product(A,B,C)| -product(A,D,C)|equalish(B,D).
% 0.61/0.84 16 [] {+} -product(A,B,C)| -product(D,B,C)|equalish(A,D).
% 0.61/0.84 17 [] {+} -product(A,B,C)| -product(B,A,D)|product(C,D,B).
% 0.61/0.84 23 [] {+} group_element(e_1).
% 0.61/0.84 24 [] {+} group_element(e_2).
% 0.61/0.84 25 [] {+} group_element(e_3).
% 0.61/0.84 27 [] {-} product(A,A,A).
% 0.61/0.84 31 [hyper,24,13,23] {-} 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).
% 0.61/0.84 32 [hyper,24,13,23] {-} 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).
% 0.61/0.84 36 [hyper,25,13,24] {-} product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_2,e_3,e_3)|product(e_2,e_3,e_4).
% 0.61/0.84 37 [hyper,25,13,23] {-} product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3)|product(e_1,e_3,e_4).
% 0.61/0.84 64 [hyper,31,15,27,unit_del,2] {-} product(e_1,e_2,e_2)|product(e_1,e_2,e_3)|product(e_1,e_2,e_4).
% 0.61/0.84 77 [hyper,64,16,27,unit_del,2] {-} product(e_1,e_2,e_3)|product(e_1,e_2,e_4).
% 0.61/0.84 128 [hyper,32,16,27,unit_del,2] {-} product(e_2,e_1,e_2)|product(e_2,e_1,e_3)|product(e_2,e_1,e_4).
% 0.61/0.84 146 [hyper,128,15,27,unit_del,2] {-} product(e_2,e_1,e_3)|product(e_2,e_1,e_4).
% 0.61/0.84 167 [hyper,146,17,77] {-} product(e_2,e_1,e_4)|product(e_3,e_3,e_2)|product(e_1,e_2,e_4).
% 0.61/0.84 170 [hyper,146,17,77] {-} product(e_2,e_1,e_3)|product(e_4,e_4,e_2)|product(e_1,e_2,e_3).
% 0.61/0.84 234 [hyper,167,14,27,unit_del,8] {-} product(e_2,e_1,e_4)|product(e_1,e_2,e_4).
% 0.61/0.84 236 [hyper,234,17,77,factor_simp] {-} product(e_1,e_2,e_4)|product(e_3,e_4,e_2).
% 0.61/0.84 238 [hyper,234,17,146,factor_simp] {-} product(e_2,e_1,e_4)|product(e_3,e_4,e_1).
% 0.61/0.84 239 [hyper,234,17,146,factor_simp] {-} product(e_2,e_1,e_4)|product(e_4,e_3,e_2).
% 0.61/0.84 357 [hyper,36,15,27,unit_del,8] {-} product(e_2,e_3,e_1)|product(e_2,e_3,e_3)|product(e_2,e_3,e_4).
% 0.61/0.84 366 [hyper,170,14,27,unit_del,10] {-} product(e_2,e_1,e_3)|product(e_1,e_2,e_3).
% 0.61/0.84 369 [hyper,366,17,77,factor_simp] {-} product(e_1,e_2,e_3)|product(e_4,e_3,e_2).
% 0.61/0.84 372 [hyper,366,17,77,factor_simp] {-} product(e_1,e_2,e_3)|product(e_3,e_4,e_1).
% 0.61/0.84 398 [hyper,369,17,239,factor_simp] {-} product(e_4,e_3,e_2)|product(e_3,e_4,e_2).
% 0.61/0.84 417 [hyper,372,17,238,factor_simp] {-} product(e_3,e_4,e_1)|product(e_4,e_3,e_1).
% 0.61/0.84 438 [hyper,37,15,27,unit_del,4] {-} product(e_1,e_3,e_2)|product(e_1,e_3,e_3)|product(e_1,e_3,e_4).
% 0.61/0.84 582 [hyper,357,16,27,unit_del,8] {-} product(e_2,e_3,e_1)|product(e_2,e_3,e_4).
% 0.61/0.84 587 [hyper,582,16,417,unit_del,10] {-} product(e_2,e_3,e_4)|product(e_3,e_4,e_1).
% 0.61/0.84 634 [hyper,587,15,238,unit_del,4,factor_simp] {-} product(e_3,e_4,e_1).
% 0.61/0.84 641 [hyper,634,14,398,unit_del,2] {-} product(e_4,e_3,e_2).
% 0.61/0.84 643 [hyper,634,14,236,unit_del,2] {-} product(e_1,e_2,e_4).
% 0.61/0.84 691 [hyper,438,16,641,unit_del,6] {-} product(e_1,e_3,e_3)|product(e_1,e_3,e_4).
% 0.61/0.84 695 [hyper,691,16,27,unit_del,4] {-} product(e_1,e_3,e_4).
% 0.61/0.84 699 [hyper,695,15,643,flip.1] {-} equalish(e_3,e_2).
% 0.61/0.84 701 [binary,699.1,8.1] {-} $F.
% 0.61/0.84
% 0.61/0.84 % SZS output end Refutation
% 0.61/0.84 ------------ end of proof -------------
% 0.61/0.84
% 0.61/0.84
% 0.61/0.84 Search stopped by max_proofs option.
% 0.61/0.84
% 0.61/0.84
% 0.61/0.84 Search stopped by max_proofs option.
% 0.61/0.84
% 0.61/0.84 ============ end of search ============
% 0.61/0.84
% 0.61/0.84 ----------- soft-scott stats ----------
% 0.61/0.84
% 0.61/0.84 true clauses given 8 (16.0%)
% 0.61/0.84 false clauses given 42
% 0.61/0.84
% 0.61/0.84 FALSE TRUE
% 0.61/0.84 4 1 0
% 0.61/0.84 10 0 5
% 0.61/0.84 12 13 33
% 0.61/0.84 14 0 56
% 0.61/0.84 16 13 15
% 0.61/0.84 18 0 21
% 0.61/0.84 tot: 27 130 (82.8% true)
% 0.61/0.84
% 0.61/0.84
% 0.61/0.84 Model 4 [ 2 -35 156 ] (0.00 seconds, 41732 Inserts)
% 0.61/0.84
% 0.61/0.84 That finishes the proof of the theorem.
% 0.61/0.84
% 0.61/0.84 Process 8561 finished Mon Jun 13 07:35:04 2022
%------------------------------------------------------------------------------