TSTP Solution File: TOP009-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : TOP009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n017.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 21 21:34:50 EDT 2022
% Result : Unsatisfiable 10.87s 11.05s
% Output : Refutation 10.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n017.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 : Sun May 29 05:48:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.36 ----- Otter 3.2, August 2001 -----
% 0.19/0.36 The process was started by sandbox2 on n017.cluster.edu,
% 0.19/0.36 Sun May 29 05:48:54 2022
% 0.19/0.36 The command was "./sos". The process ID is 3550.
% 0.19/0.36
% 0.19/0.36 set(prolog_style_variables).
% 0.19/0.36 set(auto).
% 0.19/0.36 dependent: set(auto1).
% 0.19/0.36 dependent: set(process_input).
% 0.19/0.36 dependent: clear(print_kept).
% 0.19/0.36 dependent: clear(print_new_demod).
% 0.19/0.36 dependent: clear(print_back_demod).
% 0.19/0.36 dependent: clear(print_back_sub).
% 0.19/0.36 dependent: set(control_memory).
% 0.19/0.36 dependent: assign(max_mem, 12000).
% 0.19/0.36 dependent: assign(pick_given_ratio, 4).
% 0.19/0.36 dependent: assign(stats_level, 1).
% 0.19/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36 dependent: assign(sos_limit, 5000).
% 0.19/0.36 dependent: assign(max_weight, 60).
% 0.19/0.36 clear(print_given).
% 0.19/0.36
% 0.19/0.36 list(usable).
% 0.19/0.36
% 0.19/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.19/0.36
% 0.19/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.36 clauses in usable.
% 0.19/0.36
% 0.19/0.36 dependent: set(knuth_bendix).
% 0.19/0.36 dependent: set(para_from).
% 0.19/0.36 dependent: set(para_into).
% 0.19/0.36 dependent: clear(para_from_right).
% 0.19/0.36 dependent: clear(para_into_right).
% 0.19/0.36 dependent: set(para_from_vars).
% 0.19/0.36 dependent: set(eq_units_both_ways).
% 0.19/0.36 dependent: set(dynamic_demod_all).
% 0.19/0.36 dependent: set(dynamic_demod).
% 0.19/0.36 dependent: set(order_eq).
% 0.19/0.36 dependent: set(back_demod).
% 0.19/0.36 dependent: set(lrpo).
% 0.19/0.36 dependent: set(hyper_res).
% 0.19/0.36 dependent: set(unit_deletion).
% 0.19/0.36 dependent: set(factor).
% 0.19/0.36
% 0.19/0.36 ------------> process usable:
% 0.19/0.36
% 0.19/0.36 ------------> process sos:
% 0.19/0.36
% 0.19/0.36 ======= end of input processing =======
% 0.69/0.90
% 0.69/0.90 Stopped by limit on insertions
% 0.69/0.90
% 0.69/0.90
% 0.69/0.90 Failed to model usable list: disabling FINDER
% 0.69/0.90
% 0.69/0.90
% 0.69/0.90
% 0.69/0.90 -------------- Softie stats --------------
% 0.69/0.90
% 0.69/0.90 UPDATE_STOP: 300
% 0.69/0.90 SFINDER_TIME_LIMIT: 2
% 0.69/0.90 SHORT_CLAUSE_CUTOFF: 4
% 0.69/0.90 number of clauses in intial UL: 130
% 0.69/0.90 number of clauses initially in problem: 134
% 0.69/0.90 percentage of clauses intially in UL: 97
% 0.69/0.90 percentage of distinct symbols occuring in initial UL: 98
% 0.69/0.90 percent of all initial clauses that are short: 100
% 0.69/0.90 absolute distinct symbol count: 61
% 0.69/0.90 distinct predicate count: 22
% 0.69/0.90 distinct function count: 34
% 0.69/0.90 distinct constant count: 5
% 0.69/0.90
% 0.69/0.90 ---------- no more Softie stats ----------
% 0.69/0.90
% 0.69/0.90
% 0.69/0.90
% 0.69/0.90 =========== start of search ===========
% 5.56/5.74
% 5.56/5.74
% 5.56/5.74 Changing weight limit from 60 to 56.
% 5.56/5.74
% 5.56/5.74 Resetting weight limit to 56 after 85 givens.
% 5.56/5.74
% 6.44/6.63
% 6.44/6.63
% 6.44/6.63 Changing weight limit from 56 to 51.
% 6.44/6.63
% 6.44/6.63 Resetting weight limit to 51 after 90 givens.
% 6.44/6.63
% 7.15/7.34
% 7.15/7.34
% 7.15/7.34 Changing weight limit from 51 to 44.
% 7.15/7.34
% 7.15/7.34 Resetting weight limit to 44 after 95 givens.
% 7.15/7.34
% 7.74/7.94
% 7.74/7.94
% 7.74/7.94 Changing weight limit from 44 to 41.
% 7.74/7.94
% 7.74/7.94 Resetting weight limit to 41 after 100 givens.
% 7.74/7.94
% 8.10/8.35
% 8.10/8.35
% 8.10/8.35 Changing weight limit from 41 to 40.
% 8.10/8.35
% 8.10/8.35 Resetting weight limit to 40 after 105 givens.
% 8.10/8.35
% 8.65/8.85
% 8.65/8.85
% 8.65/8.85 Changing weight limit from 40 to 36.
% 8.65/8.85
% 8.65/8.85 Resetting weight limit to 36 after 110 givens.
% 8.65/8.85
% 9.17/9.41
% 9.17/9.41
% 9.17/9.41 Changing weight limit from 36 to 31.
% 9.17/9.41
% 9.17/9.41 Resetting weight limit to 31 after 115 givens.
% 9.17/9.41
% 9.69/9.90
% 9.69/9.90
% 9.69/9.90 Changing weight limit from 31 to 28.
% 9.69/9.90
% 9.69/9.90 Resetting weight limit to 28 after 120 givens.
% 9.69/9.90
% 9.96/10.13
% 9.96/10.13
% 9.96/10.13 Changing weight limit from 28 to 27.
% 9.96/10.13
% 9.96/10.13 Resetting weight limit to 27 after 125 givens.
% 9.96/10.13
% 10.16/10.36
% 10.16/10.36
% 10.16/10.36 Changing weight limit from 27 to 26.
% 10.16/10.36
% 10.16/10.36 Resetting weight limit to 26 after 130 givens.
% 10.16/10.36
% 10.35/10.55
% 10.35/10.55
% 10.35/10.55 Changing weight limit from 26 to 25.
% 10.35/10.55
% 10.35/10.55 Resetting weight limit to 25 after 135 givens.
% 10.35/10.55
% 10.55/10.74
% 10.55/10.74
% 10.55/10.74 Changing weight limit from 25 to 24.
% 10.55/10.74
% 10.55/10.74 Resetting weight limit to 24 after 140 givens.
% 10.55/10.74
% 10.68/10.88
% 10.68/10.88
% 10.68/10.88 Changing weight limit from 24 to 23.
% 10.68/10.88
% 10.68/10.88 Resetting weight limit to 23 after 145 givens.
% 10.68/10.88
% 10.79/11.01
% 10.79/11.01
% 10.79/11.01 Changing weight limit from 23 to 14.
% 10.79/11.01
% 10.79/11.01 Resetting weight limit to 14 after 150 givens.
% 10.79/11.01
% 10.79/11.02
% 10.79/11.02
% 10.79/11.02 Changing weight limit from 14 to 13.
% 10.79/11.02
% 10.79/11.02 Resetting weight limit to 13 after 155 givens.
% 10.79/11.02
% 10.87/11.05
% 10.87/11.05 -- HEY sandbox2, WE HAVE A PROOF!! --
% 10.87/11.05
% 10.87/11.05 ----> UNIT CONFLICT at 10.66 sec ----> 12383 [binary,12382.1,110.1] {-} $F.
% 10.87/11.05
% 10.87/11.05 Length of proof is 8. Level of proof is 4.
% 10.87/11.05
% 10.87/11.05 ---------------- PROOF ----------------
% 10.87/11.05 % SZS status Unsatisfiable
% 10.87/11.05 % SZS output start Refutation
% 10.87/11.05
% 10.87/11.05 9 [] {+} -topological_space(A,B)| -element_of_collection(C,B)| -element_of_collection(D,B)|element_of_collection(intersection_of_sets(C,D),B).
% 10.87/11.05 17 [] {+} -open(A,B,C)|topological_space(B,C).
% 10.87/11.05 18 [] {+} -open(A,B,C)|element_of_collection(A,C).
% 10.87/11.05 19 [] {+} open(A,B,C)| -topological_space(B,C)| -element_of_collection(A,C).
% 10.87/11.05 42 [] {+} -element_of_collection(A,subspace_topology(B,C,D))|element_of_collection(f12(B,C,D,A),C).
% 10.87/11.05 43 [] {-} -element_of_collection(A,subspace_topology(B,C,D))|equal_sets(A,intersection_of_sets(D,f12(B,C,D,A))).
% 10.87/11.05 44 [copy,43,flip.2] {+} -element_of_collection(A,subspace_topology(B,C,D))|equal_sets(intersection_of_sets(D,f12(B,C,D,A)),A).
% 10.87/11.05 110 [] {+} -open(a,cx,ct).
% 10.87/11.05 135 [] {-} open(cy,cx,ct).
% 10.87/11.05 136 [] {-} open(a,cy,subspace_topology(cx,ct,cy)).
% 10.87/11.05 151 [hyper,135,18] {-} element_of_collection(cy,ct).
% 10.87/11.05 152 [hyper,135,17] {-} topological_space(cx,ct).
% 10.87/11.05 344 [hyper,136,18] {-} element_of_collection(a,subspace_topology(cx,ct,cy)).
% 10.87/11.05 2133,2132 [hyper,344,44] {-} equal_sets(intersection_of_sets(cy,f12(cx,ct,cy,a)),a).
% 10.87/11.05 2134 [hyper,344,42] {-} element_of_collection(f12(cx,ct,cy,a),ct).
% 10.87/11.05 12301 [hyper,2134,9,152,151,demod,2133] {-} element_of_collection(a,ct).
% 10.87/11.05 12382 [hyper,12301,19,152] {-} open(a,cx,ct).
% 10.87/11.05 12383 [binary,12382.1,110.1] {-} $F.
% 10.87/11.05
% 10.87/11.05 % SZS output end Refutation
% 10.87/11.05 ------------ end of proof -------------
% 10.87/11.05
% 10.87/11.05
% 10.87/11.05 Search stopped by max_proofs option.
% 10.87/11.05
% 10.87/11.05
% 10.87/11.05 Search stopped by max_proofs option.
% 10.87/11.05
% 10.87/11.05 ============ end of search ============
% 10.87/11.05
% 10.87/11.05 That finishes the proof of the theorem.
% 10.87/11.05
% 10.87/11.05 Process 3550 finished Sun May 29 05:49:04 2022
%------------------------------------------------------------------------------