TSTP Solution File: ALG025+1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ALG025+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n025.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 : Thu Jul 14 18:00:54 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG025+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Thu Jun 9 00:16:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.39
% 0.19/0.39 -------- PROOF --------
% 0.19/0.39 % SZS status Unsatisfiable
% 0.19/0.39 % SZS output start Refutation
% 0.19/0.39 ----- Otter 3.2, August 2001 -----
% 0.19/0.39 The process was started by sandbox on n025.cluster.edu,
% 0.19/0.39 Thu Jun 9 00:16:50 2022
% 0.19/0.39 The command was "./sos". The process ID is 8203.
% 0.19/0.39
% 0.19/0.39 set(prolog_style_variables).
% 0.19/0.39 set(auto).
% 0.19/0.39 dependent: set(auto1).
% 0.19/0.39 dependent: set(process_input).
% 0.19/0.39 dependent: clear(print_kept).
% 0.19/0.39 dependent: clear(print_new_demod).
% 0.19/0.39 dependent: clear(print_back_demod).
% 0.19/0.39 dependent: clear(print_back_sub).
% 0.19/0.39 dependent: set(control_memory).
% 0.19/0.39 dependent: assign(max_mem, 12000).
% 0.19/0.39 dependent: assign(pick_given_ratio, 4).
% 0.19/0.39 dependent: assign(stats_level, 1).
% 0.19/0.39 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.39 dependent: assign(sos_limit, 5000).
% 0.19/0.39 dependent: assign(max_weight, 60).
% 0.19/0.39 clear(print_given).
% 0.19/0.39
% 0.19/0.39 formula_list(usable).
% 0.19/0.39
% 0.19/0.39 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=36.
% 0.19/0.39
% 0.19/0.39 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.39 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.39 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.39 clauses in usable.
% 0.19/0.39
% 0.19/0.39 dependent: set(knuth_bendix).
% 0.19/0.39 dependent: set(para_from).
% 0.19/0.39 dependent: set(para_into).
% 0.19/0.39 dependent: clear(para_from_right).
% 0.19/0.39 dependent: clear(para_into_right).
% 0.19/0.39 dependent: set(para_from_vars).
% 0.19/0.39 dependent: set(eq_units_both_ways).
% 0.19/0.39 dependent: set(dynamic_demod_all).
% 0.19/0.39 dependent: set(dynamic_demod).
% 0.19/0.39 dependent: set(order_eq).
% 0.19/0.39 dependent: set(back_demod).
% 0.19/0.39 dependent: set(lrpo).
% 0.19/0.39 dependent: set(hyper_res).
% 0.19/0.39 dependent: set(unit_deletion).
% 0.19/0.39 dependent: set(factor).
% 0.19/0.39
% 0.19/0.39 ------------> process usable:
% 0.19/0.39
% 0.19/0.39 ------------> process sos:
% 0.19/0.39 Following clause subsumed by 1074 during input processing: 0 [copy,982,flip.1] {-} e0=e0.
% 0.19/0.39 Following clause subsumed by 1074 during input processing: 0 [copy,993,flip.1,demod,1096,1096] {-} e0=e0.
% 0.19/0.39
% 0.19/0.39 -----> EMPTY CLAUSE at 0.02 sec ----> 1114 [back_demod,452,demod,1096,1096,996,1106,1106,999,1104,1104,1002,1102,1102,1005,1100,1100,1008,1098,1098,1014,1017,1020,1023,1031,1034,1037,1047,1050,1062,unit_del,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074] {-} $F.
% 0.19/0.39
% 0.19/0.39 Length of proof is 23. Level of proof is 2.
% 0.19/0.39
% 0.19/0.39 ---------------- PROOF ----------------
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % SZS output start Refutation
% 0.19/0.39
% 0.19/0.39 451 [] {-} op(e0,e0)!=op(e0,e0)|op(e0,e1)!=op(e1,e0)|op(e0,e2)!=op(e2,e0)|op(e0,e3)!=op(e3,e0)|op(e0,e4)!=op(e4,e0)|op(e0,e5)!=op(e5,e0)|op(e1,e0)!=op(e0,e1)|op(e1,e1)!=op(e1,e1)|op(e1,e2)!=op(e2,e1)|op(e1,e3)!=op(e3,e1)|op(e1,e4)!=op(e4,e1)|op(e1,e5)!=op(e5,e1)|op(e2,e0)!=op(e0,e2)|op(e2,e1)!=op(e1,e2)|op(e2,e2)!=op(e2,e2)|op(e2,e3)!=op(e3,e2)|op(e2,e4)!=op(e4,e2)|op(e2,e5)!=op(e5,e2)|op(e3,e0)!=op(e0,e3)|op(e3,e1)!=op(e1,e3)|op(e3,e2)!=op(e2,e3)|op(e3,e3)!=op(e3,e3)|op(e3,e4)!=op(e4,e3)|op(e3,e5)!=op(e5,e3)|op(e4,e0)!=op(e0,e4)|op(e4,e1)!=op(e1,e4)|op(e4,e2)!=op(e2,e4)|op(e4,e3)!=op(e3,e4)|op(e4,e4)!=op(e4,e4)|op(e4,e5)!=op(e5,e4)|op(e5,e0)!=op(e0,e5)|op(e5,e1)!=op(e1,e5)|op(e5,e2)!=op(e2,e5)|op(e5,e3)!=op(e3,e5)|op(e5,e4)!=op(e4,e5)|op(e5,e5)!=op(e5,e5).
% 0.19/0.39 452 [copy,451,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {-} op(e0,e0)!=op(e0,e0)|op(e1,e0)!=op(e0,e1)|op(e2,e0)!=op(e0,e2)|op(e3,e0)!=op(e0,e3)|op(e4,e0)!=op(e0,e4)|op(e5,e0)!=op(e0,e5)|op(e1,e1)!=op(e1,e1)|op(e2,e1)!=op(e1,e2)|op(e3,e1)!=op(e1,e3)|op(e4,e1)!=op(e1,e4)|op(e5,e1)!=op(e1,e5)|op(e2,e2)!=op(e2,e2)|op(e3,e2)!=op(e2,e3)|op(e4,e2)!=op(e2,e4)|op(e5,e2)!=op(e2,e5)|op(e3,e3)!=op(e3,e3)|op(e4,e3)!=op(e3,e4)|op(e5,e3)!=op(e3,e5)|op(e4,e4)!=op(e4,e4)|op(e5,e4)!=op(e4,e5)|op(e5,e5)!=op(e5,e5).
% 0.19/0.39 927 [] {-} op(e1,unit)=e1.
% 0.19/0.39 931 [] {-} op(e2,unit)=e2.
% 0.19/0.39 935 [] {-} op(e3,unit)=e3.
% 0.19/0.39 939 [] {-} op(e4,unit)=e4.
% 0.19/0.39 943 [] {-} op(e5,unit)=e5.
% 0.19/0.39 948 [] {-} op(inv(e0),e0)=unit.
% 0.19/0.39 977,976 [] {-} unit=e0.
% 0.19/0.39 978 [] {-} inv(unit)=unit.
% 0.19/0.39 980,979 [copy,978,demod,977,977] {-} inv(e0)=e0.
% 0.19/0.39 994 [] {-} op(e0,e1)=op(e1,e0).
% 0.19/0.39 996,995 [copy,994,flip.1] {-} op(e1,e0)=op(e0,e1).
% 0.19/0.39 997 [] {-} op(e0,e2)=op(e2,e0).
% 0.19/0.39 999,998 [copy,997,flip.1] {-} op(e2,e0)=op(e0,e2).
% 0.19/0.39 1000 [] {-} op(e0,e3)=op(e3,e0).
% 0.19/0.39 1002,1001 [copy,1000,flip.1] {-} op(e3,e0)=op(e0,e3).
% 0.19/0.39 1003 [] {-} op(e0,e4)=op(e4,e0).
% 0.19/0.39 1005,1004 [copy,1003,flip.1] {-} op(e4,e0)=op(e0,e4).
% 0.19/0.39 1006 [] {-} op(e0,e5)=op(e5,e0).
% 0.19/0.39 1008,1007 [copy,1006,flip.1] {-} op(e5,e0)=op(e0,e5).
% 0.19/0.39 1012 [] {-} op(e1,e2)=op(e2,e1).
% 0.19/0.39 1014,1013 [copy,1012,flip.1] {-} op(e2,e1)=op(e1,e2).
% 0.19/0.39 1015 [] {-} op(e1,e3)=op(e3,e1).
% 0.19/0.39 1017,1016 [copy,1015,flip.1] {-} op(e3,e1)=op(e1,e3).
% 0.19/0.39 1018 [] {-} op(e1,e4)=op(e4,e1).
% 0.19/0.39 1020,1019 [copy,1018,flip.1] {-} op(e4,e1)=op(e1,e4).
% 0.19/0.39 1021 [] {-} op(e1,e5)=op(e5,e1).
% 0.19/0.39 1023,1022 [copy,1021,flip.1] {-} op(e5,e1)=op(e1,e5).
% 0.19/0.39 1029 [] {-} op(e2,e3)=op(e3,e2).
% 0.19/0.39 1031,1030 [copy,1029,flip.1] {-} op(e3,e2)=op(e2,e3).
% 0.19/0.39 1032 [] {-} op(e2,e4)=op(e4,e2).
% 0.19/0.39 1034,1033 [copy,1032,flip.1] {-} op(e4,e2)=op(e2,e4).
% 0.19/0.39 1035 [] {-} op(e2,e5)=op(e5,e2).
% 0.19/0.39 1037,1036 [copy,1035,flip.1] {-} op(e5,e2)=op(e2,e5).
% 0.19/0.39 1045 [] {-} op(e3,e4)=op(e4,e3).
% 0.19/0.39 1047,1046 [copy,1045,flip.1] {-} op(e4,e3)=op(e3,e4).
% 0.19/0.39 1048 [] {-} op(e3,e5)=op(e5,e3).
% 0.19/0.39 1050,1049 [copy,1048,flip.1] {-} op(e5,e3)=op(e3,e5).
% 0.19/0.39 1060 [] {-} op(e4,e5)=op(e5,e4).
% 0.19/0.39 1062,1061 [copy,1060,flip.1] {-} op(e5,e4)=op(e4,e5).
% 0.19/0.39 1074 [] {-} A=A.
% 0.19/0.39 1096,1095 [back_demod,948,demod,980,977] {-} op(e0,e0)=e0.
% 0.19/0.39 1098,1097 [back_demod,943,demod,977,1008] {-} op(e0,e5)=e5.
% 0.19/0.39 1100,1099 [back_demod,939,demod,977,1005] {-} op(e0,e4)=e4.
% 0.19/0.39 1102,1101 [back_demod,935,demod,977,1002] {-} op(e0,e3)=e3.
% 0.19/0.39 1104,1103 [back_demod,931,demod,977,999] {-} op(e0,e2)=e2.
% 0.19/0.39 1106,1105 [back_demod,927,demod,977,996] {-} op(e0,e1)=e1.
% 0.19/0.39 1114 [back_demod,452,demod,1096,1096,996,1106,1106,999,1104,1104,1002,1102,1102,1005,1100,1100,1008,1098,1098,1014,1017,1020,1023,1031,1034,1037,1047,1050,1062,unit_del,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074,1074] {-} $F.
% 0.19/0.39
% 0.19/0.39 % SZS output end Refutation
% 0.19/0.39 ------------ end of proof -------------
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 Search stopped by max_proofs option.
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 Search stopped by max_proofs option.
% 0.19/0.39
% 0.19/0.39 ============ end of search ============
% 0.19/0.39
% 0.19/0.39 That finishes the proof of the theorem.
% 0.19/0.39
% 0.19/0.39 Process 8203 finished Thu Jun 9 00:16:50 2022
%------------------------------------------------------------------------------