TSTP Solution File: NUM538+2 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM538+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n024.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 14:19:16 EDT 2022
% Result : Theorem 7.84s 8.95s
% Output : Refutation 7.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/1.04 % Problem : NUM538+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/1.04 % Command : sos-script %s
% 0.17/1.27 % Computer : n024.cluster.edu
% 0.17/1.27 % Model : x86_64 x86_64
% 0.17/1.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/1.27 % Memory : 8042.1875MB
% 0.17/1.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/1.27 % CPULimit : 300
% 0.17/1.27 % WCLimit : 600
% 0.17/1.27 % DateTime : Thu Jul 7 01:46:00 EDT 2022
% 0.17/1.27 % CPUTime :
% 0.17/1.29 ----- Otter 3.2, August 2001 -----
% 0.17/1.29 The process was started by sandbox on n024.cluster.edu,
% 0.17/1.29 Thu Jul 7 01:46:00 2022
% 0.17/1.29 The command was "./sos". The process ID is 25722.
% 0.17/1.29
% 0.17/1.29 set(prolog_style_variables).
% 0.17/1.29 set(auto).
% 0.17/1.29 dependent: set(auto1).
% 0.17/1.29 dependent: set(process_input).
% 0.17/1.29 dependent: clear(print_kept).
% 0.17/1.29 dependent: clear(print_new_demod).
% 0.17/1.29 dependent: clear(print_back_demod).
% 0.17/1.29 dependent: clear(print_back_sub).
% 0.17/1.29 dependent: set(control_memory).
% 0.17/1.29 dependent: assign(max_mem, 12000).
% 0.17/1.29 dependent: assign(pick_given_ratio, 4).
% 0.17/1.29 dependent: assign(stats_level, 1).
% 0.17/1.29 dependent: assign(pick_semantic_ratio, 3).
% 0.17/1.29 dependent: assign(sos_limit, 5000).
% 0.17/1.29 dependent: assign(max_weight, 60).
% 0.17/1.29 clear(print_given).
% 0.17/1.29
% 0.17/1.29 formula_list(usable).
% 0.17/1.29
% 0.17/1.29 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.17/1.29
% 0.17/1.29 This ia a non-Horn set with equality. The strategy will be
% 0.17/1.29 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.17/1.29 unit deletion, with positive clauses in sos and nonpositive
% 0.17/1.29 clauses in usable.
% 0.17/1.29
% 0.17/1.29 dependent: set(knuth_bendix).
% 0.17/1.29 dependent: set(para_from).
% 0.17/1.29 dependent: set(para_into).
% 0.17/1.29 dependent: clear(para_from_right).
% 0.17/1.29 dependent: clear(para_into_right).
% 0.17/1.29 dependent: set(para_from_vars).
% 0.17/1.29 dependent: set(eq_units_both_ways).
% 0.17/1.29 dependent: set(dynamic_demod_all).
% 0.17/1.29 dependent: set(dynamic_demod).
% 0.17/1.29 dependent: set(order_eq).
% 0.17/1.29 dependent: set(back_demod).
% 0.17/1.29 dependent: set(lrpo).
% 0.17/1.29 dependent: set(hyper_res).
% 0.17/1.29 dependent: set(unit_deletion).
% 0.17/1.29 dependent: set(factor).
% 0.17/1.29
% 0.17/1.29 ------------> process usable:
% 0.17/1.29 76 back subsumes 75.
% 0.17/1.29
% 0.17/1.29 ------------> process sos:
% 0.17/1.29 Following clause subsumed by 89 during input processing: 0 [copy,89,flip.1] {-} A=A.
% 0.17/1.29 89 back subsumes 80.
% 0.17/1.29 89 back subsumes 78.
% 0.17/1.29 89 back subsumes 74.
% 0.17/1.29 89 back subsumes 68.
% 0.17/1.29
% 0.17/1.29 ======= end of input processing =======
% 0.20/1.54
% 0.20/1.54 Stopped by limit on insertions
% 0.20/1.54
% 0.20/1.54
% 0.20/1.54 Failed to model usable list: disabling FINDER
% 0.20/1.54
% 0.20/1.54
% 0.20/1.54
% 0.20/1.54 -------------- Softie stats --------------
% 0.20/1.54
% 0.20/1.54 UPDATE_STOP: 300
% 0.20/1.54 SFINDER_TIME_LIMIT: 2
% 0.20/1.54 SHORT_CLAUSE_CUTOFF: 4
% 0.20/1.54 number of clauses in intial UL: 73
% 0.20/1.54 number of clauses initially in problem: 82
% 0.20/1.54 percentage of clauses intially in UL: 89
% 0.20/1.54 percentage of distinct symbols occuring in initial UL: 100
% 0.20/1.54 percent of all initial clauses that are short: 100
% 0.20/1.54 absolute distinct symbol count: 23
% 0.20/1.54 distinct predicate count: 9
% 0.20/1.54 distinct function count: 9
% 0.20/1.54 distinct constant count: 5
% 0.20/1.54
% 0.20/1.54 ---------- no more Softie stats ----------
% 0.20/1.54
% 0.20/1.54
% 0.20/1.54
% 0.20/1.54 =========== start of search ===========
% 3.00/4.10
% 3.00/4.10
% 3.00/4.10 Changing weight limit from 60 to 38.
% 3.00/4.10
% 3.00/4.10 Resetting weight limit to 38 after 45 givens.
% 3.00/4.10
% 3.29/4.40
% 3.29/4.40
% 3.29/4.40 Changing weight limit from 38 to 36.
% 3.29/4.40
% 3.29/4.40 Resetting weight limit to 36 after 50 givens.
% 3.29/4.40
% 4.00/5.13
% 4.00/5.13
% 4.00/5.13 Changing weight limit from 36 to 32.
% 4.00/5.13
% 4.00/5.13 Resetting weight limit to 32 after 55 givens.
% 4.00/5.13
% 4.24/5.41
% 4.24/5.41
% 4.24/5.41 Changing weight limit from 32 to 30.
% 4.24/5.41
% 4.24/5.41 Resetting weight limit to 30 after 60 givens.
% 4.24/5.41
% 4.51/5.63
% 4.51/5.63
% 4.51/5.63 Changing weight limit from 30 to 29.
% 4.51/5.63
% 4.51/5.63 Resetting weight limit to 29 after 65 givens.
% 4.51/5.63
% 4.82/5.93
% 4.82/5.93
% 4.82/5.93 Changing weight limit from 29 to 28.
% 4.82/5.93
% 4.82/5.93 Resetting weight limit to 28 after 70 givens.
% 4.82/5.93
% 4.91/6.03
% 4.91/6.03
% 4.91/6.03 Changing weight limit from 28 to 27.
% 4.91/6.03
% 4.91/6.03 Resetting weight limit to 27 after 75 givens.
% 4.91/6.03
% 5.30/6.47
% 5.30/6.47
% 5.30/6.47 Changing weight limit from 27 to 26.
% 5.30/6.47
% 5.30/6.47 Resetting weight limit to 26 after 80 givens.
% 5.30/6.47
% 5.68/6.82
% 5.68/6.82
% 5.68/6.82 Changing weight limit from 26 to 25.
% 5.68/6.82
% 5.68/6.82 Resetting weight limit to 25 after 85 givens.
% 5.68/6.82
% 6.21/7.32
% 6.21/7.32
% 6.21/7.32 Changing weight limit from 25 to 24.
% 6.21/7.32
% 6.21/7.32 Resetting weight limit to 24 after 95 givens.
% 6.21/7.32
% 6.58/7.72
% 6.58/7.72
% 6.58/7.72 Changing weight limit from 24 to 23.
% 6.58/7.72
% 6.58/7.72 Resetting weight limit to 23 after 100 givens.
% 6.58/7.72
% 6.88/8.00
% 6.88/8.00
% 6.88/8.00 Changing weight limit from 23 to 22.
% 6.88/8.00
% 6.88/8.00 Resetting weight limit to 22 after 105 givens.
% 6.88/8.00
% 7.14/8.25
% 7.14/8.25
% 7.14/8.25 Changing weight limit from 22 to 21.
% 7.14/8.25
% 7.14/8.25 Resetting weight limit to 21 after 110 givens.
% 7.14/8.25
% 7.67/8.85
% 7.67/8.85
% 7.67/8.85 Changing weight limit from 21 to 20.
% 7.67/8.85
% 7.67/8.85 Resetting weight limit to 20 after 120 givens.
% 7.67/8.85
% 7.84/8.95
% 7.84/8.95 -------- PROOF --------
% 7.84/8.95 % SZS status Theorem
% 7.84/8.95 % SZS output start Refutation
% 7.84/8.95
% 7.84/8.95 -----> EMPTY CLAUSE at 7.62 sec ----> 13707 [hyper,2391,65,89] {-} $F.
% 7.84/8.95
% 7.84/8.95 Length of proof is 4. Level of proof is 3.
% 7.84/8.95
% 7.84/8.95 ---------------- PROOF ----------------
% 7.84/8.95 % SZS status Theorem
% 7.84/8.95 % SZS output start Refutation
% 7.84/8.95
% 7.84/8.95 1 [] {+} -aSet0(A)| -aElementOf0(B,A)|aElement0(B).
% 7.84/8.95 33 [] {+} -aSet0(A)| -aElementOf0(B,A)|sdtpldt0(sdtmndt0(A,B),B)=A.
% 7.84/8.95 38 [] {+} -aElement0(A)| -aSet0(B)| -isFinite0(B)|isFinite0(sdtmndt0(B,A)).
% 7.84/8.95 62 [] {+} -aSet0(A)| -isFinite0(A)| -aElement0(B)|aElementOf0(B,A)|sbrdtbr0(sdtpldt0(A,B))=szszuzczcdt0(sbrdtbr0(A)).
% 7.84/8.95 65 [] {+} -aElementOf0(A,sdtmndt0(xS,xx))|A!=xx.
% 7.84/8.95 67 [] {+} szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))!=sbrdtbr0(xS).
% 7.84/8.95 85 [] {-} aSet0(xS).
% 7.84/8.95 86 [] {-} isFinite0(xS).
% 7.84/8.95 87 [] {-} aElementOf0(xx,xS).
% 7.84/8.95 88 [] {-} aSet0(sdtmndt0(xS,xx)).
% 7.84/8.95 89 [] {-} A=A.
% 7.84/8.95 299,298 [hyper,87,33,85] {-} sdtpldt0(sdtmndt0(xS,xx),xx)=xS.
% 7.84/8.95 300 [hyper,87,1,85] {-} aElement0(xx).
% 7.84/8.95 353 [hyper,300,38,85,86] {-} isFinite0(sdtmndt0(xS,xx)).
% 7.84/8.95 2391 [hyper,353,62,88,300,demod,299,unit_del,67] {-} aElementOf0(xx,sdtmndt0(xS,xx)).
% 7.84/8.95 13707 [hyper,2391,65,89] {-} $F.
% 7.84/8.95
% 7.84/8.95 % SZS output end Refutation
% 7.84/8.95 ------------ end of proof -------------
% 7.84/8.95
% 7.84/8.95
% 7.84/8.95 Search stopped by max_proofs option.
% 7.84/8.95
% 7.84/8.95
% 7.84/8.95 Search stopped by max_proofs option.
% 7.84/8.95
% 7.84/8.95 ============ end of search ============
% 7.84/8.95
% 7.84/8.95 That finishes the proof of the theorem.
% 7.84/8.95
% 7.84/8.95 Process 25722 finished Thu Jul 7 01:46:07 2022
%------------------------------------------------------------------------------