TSTP Solution File: NUM564+1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM564+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n005.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 : Mon Jul 18 14:19:33 EDT 2022
% Result : Theorem 42.13s 42.32s
% Output : Refutation 42.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM564+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 12:51:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37 ----- Otter 3.2, August 2001 -----
% 0.12/0.37 The process was started by sandbox on n005.cluster.edu,
% 0.12/0.37 Tue Jul 5 12:51:22 2022
% 0.12/0.37 The command was "./sos". The process ID is 15146.
% 0.12/0.37
% 0.12/0.37 set(prolog_style_variables).
% 0.12/0.37 set(auto).
% 0.12/0.37 dependent: set(auto1).
% 0.12/0.37 dependent: set(process_input).
% 0.12/0.37 dependent: clear(print_kept).
% 0.12/0.37 dependent: clear(print_new_demod).
% 0.12/0.37 dependent: clear(print_back_demod).
% 0.12/0.37 dependent: clear(print_back_sub).
% 0.12/0.37 dependent: set(control_memory).
% 0.12/0.37 dependent: assign(max_mem, 12000).
% 0.12/0.37 dependent: assign(pick_given_ratio, 4).
% 0.12/0.37 dependent: assign(stats_level, 1).
% 0.12/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.37 dependent: assign(sos_limit, 5000).
% 0.12/0.37 dependent: assign(max_weight, 60).
% 0.12/0.37 clear(print_given).
% 0.12/0.37
% 0.12/0.37 formula_list(usable).
% 0.12/0.37
% 0.12/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 0.12/0.37
% 0.12/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.37 clauses in usable.
% 0.12/0.37
% 0.12/0.37 dependent: set(knuth_bendix).
% 0.12/0.37 dependent: set(para_from).
% 0.12/0.37 dependent: set(para_into).
% 0.12/0.37 dependent: clear(para_from_right).
% 0.12/0.37 dependent: clear(para_into_right).
% 0.12/0.37 dependent: set(para_from_vars).
% 0.12/0.37 dependent: set(eq_units_both_ways).
% 0.12/0.37 dependent: set(dynamic_demod_all).
% 0.12/0.37 dependent: set(dynamic_demod).
% 0.12/0.37 dependent: set(order_eq).
% 0.12/0.37 dependent: set(back_demod).
% 0.12/0.37 dependent: set(lrpo).
% 0.12/0.37 dependent: set(hyper_res).
% 0.12/0.37 dependent: set(unit_deletion).
% 0.12/0.37 dependent: set(factor).
% 0.12/0.37
% 0.12/0.37 ------------> process usable:
% 0.12/0.37 148 back subsumes 147.
% 0.12/0.37
% 0.12/0.37 ------------> process sos:
% 0.12/0.37 Following clause subsumed by 191 during input processing: 0 [copy,191,flip.1] {-} A=A.
% 0.12/0.37 191 back subsumes 158.
% 0.12/0.37 191 back subsumes 153.
% 0.12/0.37 191 back subsumes 152.
% 0.12/0.37 191 back subsumes 150.
% 0.12/0.37 191 back subsumes 146.
% 0.12/0.37 191 back subsumes 140.
% 0.12/0.37
% 0.12/0.37 ======= end of input processing =======
% 0.75/0.98
% 0.75/0.98 Stopped by limit on insertions
% 0.75/0.98
% 0.75/0.98
% 0.75/0.98 Failed to model usable list: disabling FINDER
% 0.75/0.98
% 0.75/0.98
% 0.75/0.98
% 0.75/0.98 -------------- Softie stats --------------
% 0.75/0.98
% 0.75/0.98 UPDATE_STOP: 300
% 0.75/0.98 SFINDER_TIME_LIMIT: 2
% 0.75/0.98 SHORT_CLAUSE_CUTOFF: 4
% 0.75/0.98 number of clauses in intial UL: 159
% 0.75/0.98 number of clauses initially in problem: 180
% 0.75/0.98 percentage of clauses intially in UL: 88
% 0.75/0.98 percentage of distinct symbols occuring in initial UL: 90
% 0.75/0.98 percent of all initial clauses that are short: 100
% 0.75/0.98 absolute distinct symbol count: 52
% 0.75/0.98 distinct predicate count: 10
% 0.75/0.98 distinct function count: 35
% 0.75/0.98 distinct constant count: 7
% 0.75/0.98
% 0.75/0.98 ---------- no more Softie stats ----------
% 0.75/0.98
% 0.75/0.98
% 0.75/0.98
% 0.75/0.98 =========== start of search ===========
% 6.81/7.07
% 6.81/7.07
% 6.81/7.07 Changing weight limit from 60 to 44.
% 6.81/7.07
% 6.81/7.07 Resetting weight limit to 44 after 40 givens.
% 6.81/7.07
% 7.55/7.77
% 7.55/7.77
% 7.55/7.77 Changing weight limit from 44 to 35.
% 7.55/7.77
% 7.55/7.77 Resetting weight limit to 35 after 45 givens.
% 7.55/7.77
% 8.12/8.33
% 8.12/8.33
% 8.12/8.33 Changing weight limit from 35 to 28.
% 8.12/8.33
% 8.12/8.33 Resetting weight limit to 28 after 50 givens.
% 8.12/8.33
% 8.69/8.87
% 8.69/8.87
% 8.69/8.87 Changing weight limit from 28 to 26.
% 8.69/8.87
% 8.69/8.87 Resetting weight limit to 26 after 55 givens.
% 8.69/8.87
% 9.04/9.27
% 9.04/9.27
% 9.04/9.27 Changing weight limit from 26 to 24.
% 9.04/9.27
% 9.04/9.27 Resetting weight limit to 24 after 60 givens.
% 9.04/9.27
% 9.34/9.58
% 9.34/9.58
% 9.34/9.58 Changing weight limit from 24 to 23.
% 9.34/9.58
% 9.34/9.58 Resetting weight limit to 23 after 65 givens.
% 9.34/9.58
% 9.73/9.93
% 9.73/9.93
% 9.73/9.93 Changing weight limit from 23 to 22.
% 9.73/9.93
% 9.73/9.93 Resetting weight limit to 22 after 75 givens.
% 9.73/9.93
% 10.13/10.31
% 10.13/10.31
% 10.13/10.31 Changing weight limit from 22 to 21.
% 10.13/10.31
% 10.13/10.31 Resetting weight limit to 21 after 85 givens.
% 10.13/10.31
% 10.80/11.02
% 10.80/11.02
% 10.80/11.02 Changing weight limit from 21 to 20.
% 10.80/11.02
% 10.80/11.02 Resetting weight limit to 20 after 95 givens.
% 10.80/11.02
% 11.36/11.53
% 11.36/11.53
% 11.36/11.53 Changing weight limit from 20 to 19.
% 11.36/11.53
% 11.36/11.53 Resetting weight limit to 19 after 110 givens.
% 11.36/11.53
% 12.15/12.33
% 12.15/12.33
% 12.15/12.33 Changing weight limit from 19 to 18.
% 12.15/12.33
% 12.15/12.33 Resetting weight limit to 18 after 135 givens.
% 12.15/12.33
% 12.84/13.06
% 12.84/13.06
% 12.84/13.06 Changing weight limit from 18 to 17.
% 12.84/13.06
% 12.84/13.06 Resetting weight limit to 17 after 150 givens.
% 12.84/13.06
% 13.22/13.48
% 13.22/13.48
% 13.22/13.48 Changing weight limit from 17 to 16.
% 13.22/13.48
% 13.22/13.48 Resetting weight limit to 16 after 155 givens.
% 13.22/13.48
% 13.83/14.08
% 13.83/14.08
% 13.83/14.08 Changing weight limit from 16 to 15.
% 13.83/14.08
% 13.83/14.08 Resetting weight limit to 15 after 175 givens.
% 13.83/14.08
% 14.29/14.47
% 14.29/14.47
% 14.29/14.47 Changing weight limit from 15 to 14.
% 14.29/14.47
% 14.29/14.47 Resetting weight limit to 14 after 185 givens.
% 14.29/14.47
% 14.96/15.18
% 14.96/15.18
% 14.96/15.18 Changing weight limit from 14 to 13.
% 14.96/15.18
% 14.96/15.18 Resetting weight limit to 13 after 205 givens.
% 14.96/15.18
% 15.56/15.75
% 15.56/15.75
% 15.56/15.75 Changing weight limit from 13 to 12.
% 15.56/15.75
% 15.56/15.75 Resetting weight limit to 12 after 210 givens.
% 15.56/15.75
% 16.31/16.57
% 16.31/16.57
% 16.31/16.57 Changing weight limit from 12 to 10.
% 16.31/16.57
% 16.31/16.57 Resetting weight limit to 10 after 215 givens.
% 16.31/16.57
% 18.66/18.86
% 18.66/18.86
% 18.66/18.86 Changing weight limit from 10 to 9.
% 18.66/18.86
% 18.66/18.86 Resetting weight limit to 9 after 245 givens.
% 18.66/18.86
% 26.92/27.12
% 26.92/27.12
% 26.92/27.12 Changing weight limit from 9 to 8.
% 26.92/27.12
% 26.92/27.12 Modelling stopped after 300 given clauses and 0.00 seconds
% 26.92/27.12
% 26.92/27.12
% 26.92/27.12 Resetting weight limit to 8 after 330 givens.
% 26.92/27.12
% 42.13/42.32
% 42.13/42.32 -- HEY sandbox, WE HAVE A PROOF!! --
% 42.13/42.32
% 42.13/42.32 -----> EMPTY CLAUSE at 40.84 sec ----> 31385 [hyper,29729,3,191] {-} $F.
% 42.13/42.32
% 42.13/42.32 Length of proof is 6. Level of proof is 3.
% 42.13/42.32
% 42.13/42.32 ---------------- PROOF ----------------
% 42.13/42.32 % SZS status Theorem
% 42.13/42.32 % SZS output start Refutation
% 42.13/42.32
% 42.13/42.32 2 [] {+} A!=slcrc0|aSet0(A).
% 42.13/42.32 3 [] {+} A!=slcrc0| -aElementOf0(B,A).
% 42.13/42.32 7 [] {+} -aSet0(A)| -aSubsetOf0(B,A)|aSet0(B).
% 42.13/42.32 9 [] {+} -aSet0(A)|aSubsetOf0(B,A)| -aSet0(B)|aElementOf0($f2(A,B),B).
% 42.13/42.32 91 [] {+} -aElementOf0(A,szNzAzT0)|sbrdtbr0(slbdtrb0(A))=A.
% 42.13/42.32 95 [] {+} -aSet0(A)| -aElementOf0(B,szNzAzT0)|C!=slbdtsldtrb0(A,B)|aElementOf0(D,C)| -aSubsetOf0(D,A)|sbrdtbr0(D)!=B.
% 42.13/42.32 139 [] {+} -aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)).
% 42.13/42.32 174 [] {-} aSet0(szNzAzT0).
% 42.13/42.32 176 [] {-} aElementOf0(sz00,szNzAzT0).
% 42.13/42.32 178,177 [] {-} slbdtrb0(sz00)=slcrc0.
% 42.13/42.32 182 [] {-} aSubsetOf0(xS,szNzAzT0).
% 42.13/42.32 185 [] {-} szDzozmdt0(xc)=slbdtsldtrb0(xS,xK).
% 42.13/42.32 190,189 [] {-} xK=sz00.
% 42.13/42.32 191 [] {-} A=A.
% 42.13/42.32 194,193 [back_demod,185,demod,190] {-} szDzozmdt0(xc)=slbdtsldtrb0(xS,sz00).
% 42.13/42.32 462 [hyper,176,91,demod,178] {-} sbrdtbr0(slcrc0)=sz00.
% 42.13/42.32 780 [hyper,182,7,174] {-} aSet0(xS).
% 42.13/42.32 891 [hyper,177,2,demod,178] {-} aSet0(slcrc0).
% 42.13/42.32 1129 [hyper,891,9,780] {-} aSubsetOf0(slcrc0,xS)|aElementOf0($f2(xS,slcrc0),slcrc0).
% 42.13/42.32 29729 [hyper,1129,95,780,176,193,462,demod,194,unit_del,139] {-} aElementOf0($f2(xS,slcrc0),slcrc0).
% 42.13/42.32 31385 [hyper,29729,3,191] {-} $F.
% 42.13/42.32
% 42.13/42.32 % SZS output end Refutation
% 42.13/42.32 ------------ end of proof -------------
% 42.13/42.32
% 42.13/42.32
% 42.13/42.32 Search stopped by max_proofs option.
% 42.13/42.32
% 42.13/42.32
% 42.13/42.32 Search stopped by max_proofs option.
% 42.13/42.32
% 42.13/42.32 ============ end of search ============
% 42.13/42.32
% 42.13/42.32 That finishes the proof of the theorem.
% 42.13/42.32
% 42.13/42.32 Process 15146 finished Tue Jul 5 12:52:04 2022
%------------------------------------------------------------------------------