TSTP Solution File: ALG138+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ALG138+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Thu Jul 14 18:01:07 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG138+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n018.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 11:21:52 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.35 ----- Otter 3.2, August 2001 -----
% 0.20/0.35 The process was started by sandbox on n018.cluster.edu,
% 0.20/0.35 Wed Jun 8 11:21:52 2022
% 0.20/0.35 The command was "./sos". The process ID is 28591.
% 0.20/0.35
% 0.20/0.35 set(prolog_style_variables).
% 0.20/0.35 set(auto).
% 0.20/0.35 dependent: set(auto1).
% 0.20/0.35 dependent: set(process_input).
% 0.20/0.35 dependent: clear(print_kept).
% 0.20/0.35 dependent: clear(print_new_demod).
% 0.20/0.35 dependent: clear(print_back_demod).
% 0.20/0.35 dependent: clear(print_back_sub).
% 0.20/0.35 dependent: set(control_memory).
% 0.20/0.35 dependent: assign(max_mem, 12000).
% 0.20/0.35 dependent: assign(pick_given_ratio, 4).
% 0.20/0.35 dependent: assign(stats_level, 1).
% 0.20/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.35 dependent: assign(sos_limit, 5000).
% 0.20/0.35 dependent: assign(max_weight, 60).
% 0.20/0.35 clear(print_given).
% 0.20/0.35
% 0.20/0.35 formula_list(usable).
% 0.20/0.35
% 0.20/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.20/0.35
% 0.20/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.35 clauses in usable.
% 0.20/0.35
% 0.20/0.35 dependent: set(knuth_bendix).
% 0.20/0.35 dependent: set(para_from).
% 0.20/0.35 dependent: set(para_into).
% 0.20/0.35 dependent: clear(para_from_right).
% 0.20/0.35 dependent: clear(para_into_right).
% 0.20/0.35 dependent: set(para_from_vars).
% 0.20/0.35 dependent: set(eq_units_both_ways).
% 0.20/0.35 dependent: set(dynamic_demod_all).
% 0.20/0.35 dependent: set(dynamic_demod).
% 0.20/0.35 dependent: set(order_eq).
% 0.20/0.35 dependent: set(back_demod).
% 0.20/0.35 dependent: set(lrpo).
% 0.20/0.35 dependent: set(hyper_res).
% 0.20/0.35 dependent: set(unit_deletion).
% 0.20/0.35 dependent: set(factor).
% 0.20/0.35
% 0.20/0.35 ------------> process usable:
% 0.20/0.35
% 0.20/0.35 ------------> process sos:
% 0.20/0.35 Following clause subsumed by 213 during input processing: 0 [copy,213,flip.1] {-} A=A.
% 0.20/0.35
% 0.20/0.35 ======= end of input processing =======
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 Failed to model usable list: disabling FINDER
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 -------------- Softie stats --------------
% 0.20/0.41
% 0.20/0.41 UPDATE_STOP: 300
% 0.20/0.41 SFINDER_TIME_LIMIT: 2
% 0.20/0.41 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.41 number of clauses in intial UL: 54
% 0.20/0.41 number of clauses initially in problem: 123
% 0.20/0.41 percentage of clauses intially in UL: 43
% 0.20/0.41 percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.41 percent of all initial clauses that are short: 100
% 0.20/0.41 absolute distinct symbol count: 6
% 0.20/0.41 distinct predicate count: 1
% 0.20/0.41 distinct function count: 1
% 0.20/0.41 distinct constant count: 4
% 0.20/0.41
% 0.20/0.41 ---------- no more Softie stats ----------
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 =========== start of search ===========
% 0.20/0.52
% 0.20/0.52 -------- PROOF --------
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 % SZS output start Refutation
% 0.20/0.52
% 0.20/0.52 -----> EMPTY CLAUSE at 0.14 sec ----> 1353 [back_demod,1260,demod,1346,1337,1344,unit_del,213,213,213] {-} $F.
% 0.20/0.52
% 0.20/0.52 Length of proof is 58. Level of proof is 6.
% 0.20/0.52
% 0.20/0.52 ---------------- PROOF ----------------
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 % SZS output start Refutation
% 0.20/0.52
% 0.20/0.52 1 [] {-} op(e0,e0)!=op(e1,e0).
% 0.20/0.52 2 [copy,1,flip.1] {-} op(e1,e0)!=op(e0,e0).
% 0.20/0.52 21 [] {-} op(e1,e1)!=op(e3,e1).
% 0.20/0.52 22 [copy,21,flip.1] {-} op(e3,e1)!=op(e1,e1).
% 0.20/0.52 25 [] {-} op(e0,e2)!=op(e1,e2).
% 0.20/0.52 26 [copy,25,flip.1] {+} op(e1,e2)!=op(e0,e2).
% 0.20/0.52 27 [] {-} op(e0,e2)!=op(e2,e2).
% 0.20/0.52 28 [copy,27,flip.1] {-} op(e2,e2)!=op(e0,e2).
% 0.20/0.52 29 [] {-} op(e0,e2)!=op(e3,e2).
% 0.20/0.52 30 [copy,29,flip.1] {+} op(e3,e2)!=op(e0,e2).
% 0.20/0.52 31 [] {-} op(e1,e2)!=op(e2,e2).
% 0.20/0.52 32 [copy,31,flip.1] {-} op(e2,e2)!=op(e1,e2).
% 0.20/0.52 41 [] {-} op(e0,e3)!=op(e3,e3).
% 0.20/0.52 42 [copy,41,flip.1] {-} op(e3,e3)!=op(e0,e3).
% 0.20/0.52 51 [] {-} op(e0,e0)!=op(e0,e2).
% 0.20/0.52 52 [copy,51,flip.1] {-} op(e0,e2)!=op(e0,e0).
% 0.20/0.52 53 [] {-} op(e0,e0)!=op(e0,e3).
% 0.20/0.52 54 [copy,53,flip.1] {-} op(e0,e3)!=op(e0,e0).
% 0.20/0.52 59 [] {-} op(e0,e2)!=op(e0,e3).
% 0.20/0.52 60 [copy,59,flip.1] {+} op(e0,e3)!=op(e0,e2).
% 0.20/0.52 67 [] {-} op(e1,e1)!=op(e1,e2).
% 0.20/0.52 68 [copy,67,flip.1] {-} op(e1,e2)!=op(e1,e1).
% 0.20/0.52 69 [] {-} op(e1,e1)!=op(e1,e3).
% 0.20/0.52 70 [copy,69,flip.1] {-} op(e1,e3)!=op(e1,e1).
% 0.20/0.52 83 [] {-} op(e2,e2)!=op(e2,e3).
% 0.20/0.52 84 [copy,83,flip.1] {-} op(e2,e3)!=op(e2,e2).
% 0.20/0.52 87 [] {-} op(e3,e0)!=op(e3,e2).
% 0.20/0.52 88 [copy,87,flip.1] {+} op(e3,e2)!=op(e3,e0).
% 0.20/0.52 97 [] {-} e0!=e1.
% 0.20/0.52 98 [copy,97,flip.1] {+} e1!=e0.
% 0.20/0.52 99 [] {-} e0!=e2.
% 0.20/0.52 100 [copy,99,flip.1] {+} e2!=e0.
% 0.20/0.52 101 [] {-} e0!=e3.
% 0.20/0.52 102 [copy,101,flip.1] {+} e3!=e0.
% 0.20/0.52 103 [] {-} e1!=e2.
% 0.20/0.52 104 [copy,103,flip.1] {+} e2!=e1.
% 0.20/0.52 105 [] {-} e1!=e3.
% 0.20/0.52 106 [copy,105,flip.1] {+} e3!=e1.
% 0.20/0.52 107 [] {-} e2!=e3.
% 0.20/0.52 108 [copy,107,flip.1] {+} e3!=e2.
% 0.20/0.52 117 [] {-} e0!=op(e1,e2)|e3!=op(op(e1,e2),e2).
% 0.20/0.52 118 [copy,117,flip.1,flip.2] {+} op(e1,e2)!=e0|op(op(e1,e2),e2)!=e3.
% 0.20/0.52 137 [] {-} e2!=op(e0,e3)|e1!=op(op(e0,e3),e3).
% 0.20/0.52 138 [copy,137,flip.1,flip.2] {+} op(e0,e3)!=e2|op(op(e0,e3),e3)!=e1.
% 0.20/0.52 159 [] {-} op(e0,e2)=e0|op(e0,e2)=e1|op(e0,e2)=e2|op(e0,e2)=e3.
% 0.20/0.52 160 [] {-} op(e0,e3)=e0|op(e0,e3)=e1|op(e0,e3)=e2|op(e0,e3)=e3.
% 0.20/0.52 163 [] {-} op(e1,e2)=e0|op(e1,e2)=e1|op(e1,e2)=e2|op(e1,e2)=e3.
% 0.20/0.52 181 [] {-} op(e1,e0)=e0|op(e1,e1)=e0|op(e1,e2)=e0|op(e1,e3)=e0.
% 0.20/0.52 190 [] {-} op(e0,e2)=e0|op(e1,e2)=e0|op(e2,e2)=e0|op(e3,e2)=e0.
% 0.20/0.52 192 [] {-} op(e0,e2)=e1|op(e1,e2)=e1|op(e2,e2)=e1|op(e3,e2)=e1.
% 0.20/0.52 199 [] {-} op(e3,e0)=e1|op(e3,e1)=e1|op(e3,e2)=e1|op(e3,e3)=e1.
% 0.20/0.52 200 [] {-} op(e0,e3)=e1|op(e1,e3)=e1|op(e2,e3)=e1|op(e3,e3)=e1.
% 0.20/0.52 202 [] {-} op(e0,e3)=e2|op(e1,e3)=e2|op(e2,e3)=e2|op(e3,e3)=e2.
% 0.20/0.52 206,205 [] {-} op(e0,e0)=e0.
% 0.20/0.52 208,207 [] {-} op(e1,e1)=e1.
% 0.20/0.52 210,209 [] {-} op(e2,e2)=e2.
% 0.20/0.52 212,211 [] {-} op(e3,e3)=e3.
% 0.20/0.52 213 [] {-} A=A.
% 0.20/0.52 220 [back_demod,54,demod,206] {-} op(e0,e3)!=e0.
% 0.20/0.52 221 [back_demod,52,demod,206] {-} op(e0,e2)!=e0.
% 0.20/0.52 225 [back_demod,2,demod,206] {-} op(e1,e0)!=e0.
% 0.20/0.52 231 [back_demod,181,demod,208,unit_del,225,98] {-} op(e1,e2)=e0|op(e1,e3)=e0.
% 0.20/0.52 232 [back_demod,70,demod,208] {-} op(e1,e3)!=e1.
% 0.20/0.52 233 [back_demod,68,demod,208] {-} op(e1,e2)!=e1.
% 0.20/0.52 235 [back_demod,22,demod,208] {-} op(e3,e1)!=e1.
% 0.20/0.52 240 [back_demod,192,demod,210,unit_del,233,104] {-} op(e0,e2)=e1|op(e3,e2)=e1.
% 0.20/0.52 242 [back_demod,190,demod,210,unit_del,221,100] {-} op(e1,e2)=e0|op(e3,e2)=e0.
% 0.20/0.52 244 [back_demod,84,demod,210] {-} op(e2,e3)!=e2.
% 0.20/0.52 248 [back_demod,32,demod,210,flip.1] {-} op(e1,e2)!=e2.
% 0.20/0.52 249 [back_demod,28,demod,210,flip.1] {-} op(e0,e2)!=e2.
% 0.20/0.52 250 [back_demod,202,demod,212,unit_del,244,108] {-} op(e0,e3)=e2|op(e1,e3)=e2.
% 0.20/0.52 252 [back_demod,200,demod,212,unit_del,232,106] {-} op(e0,e3)=e1|op(e2,e3)=e1.
% 0.20/0.52 253 [back_demod,199,demod,212,unit_del,235,106] {-} op(e3,e0)=e1|op(e3,e2)=e1.
% 0.20/0.52 261 [back_demod,42,demod,212,flip.1] {-} op(e0,e3)!=e3.
% 0.20/0.52 263 [para_into,159.1.1,159.4.1,unit_del,102,249,221,249,factor_simp] {-} op(e0,e2)=e1|op(e0,e2)=e3.
% 0.20/0.52 264 [hyper,160,220,unit_del,261] {-} op(e0,e3)=e1|op(e0,e3)=e2.
% 0.20/0.52 266 [hyper,163,233,unit_del,248] {-} op(e1,e2)=e0|op(e1,e2)=e3.
% 0.20/0.52 282 [para_from,240.2.1,88.1.1,flip.1] {-} op(e3,e0)!=e1|op(e0,e2)=e1.
% 0.20/0.52 301 [para_into,250.2.1,231.2.1,unit_del,100] {-} op(e0,e3)=e2|op(e1,e2)=e0.
% 0.20/0.52 320 [para_from,252.1.1,60.1.1,flip.1] {-} op(e0,e2)!=e1|op(e2,e3)=e1.
% 0.20/0.52 325 [para_into,253.2.1,242.2.1,unit_del,98] {-} op(e3,e0)=e1|op(e1,e2)=e0.
% 0.20/0.52 331 [para_from,253.2.1,30.1.1,flip.1] {-} op(e0,e2)!=e1|op(e3,e0)=e1.
% 0.20/0.52 362 [para_from,264.1.1,60.1.1,flip.1] {-} op(e0,e2)!=e1|op(e0,e3)=e2.
% 0.20/0.52 376 [para_from,266.2.1,26.1.1,flip.1] {-} op(e0,e2)!=e3|op(e1,e2)=e0.
% 0.20/0.52 425 [para_into,301.1.1,252.1.1,unit_del,104] {-} op(e1,e2)=e0|op(e2,e3)=e1.
% 0.20/0.52 478 [hyper,320,263] {-} op(e2,e3)=e1|op(e0,e2)=e3.
% 0.20/0.52 510 [hyper,331,263] {-} op(e3,e0)=e1|op(e0,e2)=e3.
% 0.20/0.52 597 [hyper,362,263] {-} op(e0,e3)=e2|op(e0,e2)=e3.
% 0.20/0.52 600 [para_into,362.1.1,282.2.1,unit_del,213] {-} op(e0,e3)=e2|op(e3,e0)!=e1.
% 0.20/0.52 621 [para_from,376.2.1,118.2.1.1,factor_simp] {-} op(e1,e2)!=e0|op(e0,e2)!=e3.
% 0.20/0.52 1260 [para_from,600.1.1,138.2.1.1] {-} op(e0,e3)!=e2|op(e2,e3)!=e1|op(e3,e0)!=e1.
% 0.20/0.52 1337,1336 [hyper,621,425,478,factor_simp] {-} op(e2,e3)=e1.
% 0.20/0.52 1344,1343 [hyper,621,325,510,factor_simp] {-} op(e3,e0)=e1.
% 0.20/0.52 1346,1345 [hyper,621,301,597,factor_simp] {-} op(e0,e3)=e2.
% 0.20/0.52 1353 [back_demod,1260,demod,1346,1337,1344,unit_del,213,213,213] {-} $F.
% 0.20/0.52
% 0.20/0.52 % SZS output end Refutation
% 0.20/0.52 ------------ end of proof -------------
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 Search stopped by max_proofs option.
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 Search stopped by max_proofs option.
% 0.20/0.52
% 0.20/0.52 ============ end of search ============
% 0.20/0.52
% 0.20/0.52 That finishes the proof of the theorem.
% 0.20/0.52
% 0.20/0.52 Process 28591 finished Wed Jun 8 11:21:52 2022
%------------------------------------------------------------------------------