TSTP Solution File: GEO067-3 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO067-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n015.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 : Sat Jul 16 06:17:51 EDT 2022
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO067-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.13/0.14 % Command : sos-script %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 07:50:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.39 ----- Otter 3.2, August 2001 -----
% 0.21/0.39 The process was started by sandbox2 on n015.cluster.edu,
% 0.21/0.39 Sat Jun 18 07:50:58 2022
% 0.21/0.39 The command was "./sos". The process ID is 8971.
% 0.21/0.39
% 0.21/0.39 set(prolog_style_variables).
% 0.21/0.39 set(auto).
% 0.21/0.39 dependent: set(auto1).
% 0.21/0.39 dependent: set(process_input).
% 0.21/0.39 dependent: clear(print_kept).
% 0.21/0.39 dependent: clear(print_new_demod).
% 0.21/0.39 dependent: clear(print_back_demod).
% 0.21/0.39 dependent: clear(print_back_sub).
% 0.21/0.39 dependent: set(control_memory).
% 0.21/0.39 dependent: assign(max_mem, 12000).
% 0.21/0.39 dependent: assign(pick_given_ratio, 4).
% 0.21/0.39 dependent: assign(stats_level, 1).
% 0.21/0.39 dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.39 dependent: assign(sos_limit, 5000).
% 0.21/0.39 dependent: assign(max_weight, 60).
% 0.21/0.39 clear(print_given).
% 0.21/0.39
% 0.21/0.39 list(usable).
% 0.21/0.39
% 0.21/0.39 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.21/0.39
% 0.21/0.39 This ia a non-Horn set with equality. The strategy will be
% 0.21/0.39 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.21/0.39 unit deletion, with positive clauses in sos and nonpositive
% 0.21/0.39 clauses in usable.
% 0.21/0.39
% 0.21/0.39 dependent: set(knuth_bendix).
% 0.21/0.39 dependent: set(para_from).
% 0.21/0.39 dependent: set(para_into).
% 0.21/0.39 dependent: clear(para_from_right).
% 0.21/0.39 dependent: clear(para_into_right).
% 0.21/0.39 dependent: set(para_from_vars).
% 0.21/0.39 dependent: set(eq_units_both_ways).
% 0.21/0.39 dependent: set(dynamic_demod_all).
% 0.21/0.39 dependent: set(dynamic_demod).
% 0.21/0.39 dependent: set(order_eq).
% 0.21/0.39 dependent: set(back_demod).
% 0.21/0.39 dependent: set(lrpo).
% 0.21/0.39 dependent: set(hyper_res).
% 0.21/0.39 dependent: set(unit_deletion).
% 0.21/0.39 dependent: set(factor).
% 0.21/0.39
% 0.21/0.39 ------------> process usable:
% 0.21/0.39 Following clause subsumed by 40 during input processing: 0 [] {-} -between(A,B,C)| -between(B,A,C)|A=B|B=C.
% 0.21/0.39 Following clause subsumed by 41 during input processing: 0 [] {-} -between(A,B,C)| -between(A,C,B)|A=B|B=C.
% 0.21/0.39 127 back subsumes 104.
% 0.21/0.39
% 0.21/0.39 ------------> process sos:
% 0.21/0.39 Following clause subsumed by 144 during input processing: 0 [demod,147] {-} between(A,B,extension(A,B,A,B)).
% 0.21/0.39 Following clause subsumed by 145 during input processing: 0 [demod,147] {-} equidistant(A,extension(B,A,B,A),B,A).
% 0.21/0.39 Following clause subsumed by 144 during input processing: 0 [] {-} between(A,B,extension(A,B,lower_dimension_point_1,lower_dimension_point_2)).
% 0.21/0.39 Following clause subsumed by 155 during input processing: 0 [] {-} A=A.
% 0.21/0.39 143 back subsumes 141.
% 0.21/0.39 143 back subsumes 140.
% 0.21/0.39 143 back subsumes 139.
% 0.21/0.39 143 back subsumes 137.
% 0.21/0.39 143 back subsumes 136.
% 0.21/0.39 143 back subsumes 129.
% 0.21/0.39 150 back subsumes 113.
% 0.21/0.39 150 back subsumes 100.
% 0.21/0.39 150 back subsumes 86.
% 0.21/0.39 Following clause subsumed by 155 during input processing: 0 [copy,155,flip.1] {-} A=A.
% 0.21/0.39 155 back subsumes 103.
% 0.21/0.39 155 back subsumes 102.
% 0.21/0.39 155 back subsumes 101.
% 0.21/0.39 156 back subsumes 116.
% 0.21/0.39 156 back subsumes 115.
% 0.21/0.39 156 back subsumes 114.
% 0.21/0.39 156 back subsumes 110.
% 0.21/0.39 156 back subsumes 109.
% 0.21/0.39 156 back subsumes 87.
% 0.21/0.39 163 back subsumes 126.
% 0.21/0.39 163 back subsumes 124.
% 0.21/0.39 163 back subsumes 123.
% 0.21/0.39 163 back subsumes 121.
% 0.21/0.39 163 back subsumes 120.
% 0.21/0.39 163 back subsumes 99.
% 0.21/0.39 163 back subsumes 91.
% 0.21/0.39 163 back subsumes 90.
% 0.21/0.39 164 back subsumes 127.
% 0.21/0.39 164 back subsumes 125.
% 0.21/0.39 164 back subsumes 122.
% 0.21/0.39 164 back subsumes 92.
% 0.21/0.39
% 0.21/0.39 ======= end of input processing =======
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 Failed to model usable list: disabling FINDER
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 -------------- Softie stats --------------
% 0.21/0.51
% 0.21/0.51 UPDATE_STOP: 300
% 0.21/0.51 SFINDER_TIME_LIMIT: 2
% 0.21/0.51 SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.51 number of clauses in intial UL: 96
% 0.21/0.51 number of clauses initially in problem: 121
% 0.21/0.51 percentage of clauses intially in UL: 79
% 0.21/0.51 percentage of distinct symbols occuring in initial UL: 88
% 0.21/0.51 percent of all initial clauses that are short: 100
% 0.21/0.51 absolute distinct symbol count: 17
% 0.21/0.51 distinct predicate count: 4
% 0.21/0.51 distinct function count: 7
% 0.21/0.51 distinct constant count: 6
% 0.21/0.51
% 0.21/0.51 ---------- no more Softie stats ----------
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 =========== start of search ===========
% 0.21/0.51
% 0.21/0.51 -------- PROOF --------
% 0.21/0.51 % SZS status Unsatisfiable
% 0.21/0.51 % SZS output start Refutation
% 0.21/0.51
% 0.21/0.51 -----> EMPTY CLAUSE at 0.11 sec ----> 293 [back_demod,85,demod,292,292,292,292,unit_del,185,185,185,183] {-} $F.
% 0.21/0.51
% 0.21/0.51 Length of proof is 5. Level of proof is 2.
% 0.21/0.51
% 0.21/0.51 ---------------- PROOF ----------------
% 0.21/0.51 % SZS status Unsatisfiable
% 0.21/0.51 % SZS output start Refutation
% 0.21/0.51
% 0.21/0.51 74 [] {+} -between(A,B,C)|colinear(C,B,A).
% 0.21/0.51 75 [] {+} -between(A,B,C)|colinear(A,C,B).
% 0.21/0.51 76 [] {+} -between(A,B,C)|colinear(B,A,C).
% 0.21/0.51 83 [] {-} -colinear(x,x,y)| -colinear(x,y,x)| -colinear(y,x,x)|x=y.
% 0.21/0.51 84 [copy,83,flip.4] {+} -colinear(x,x,y)| -colinear(x,y,x)| -colinear(y,x,x)|y=x.
% 0.21/0.51 85 [] {+} -colinear(x,x,y)| -colinear(x,y,x)| -colinear(y,x,x)| -colinear(x,z,y).
% 0.21/0.51 163 [] {-} between(A,B,B).
% 0.21/0.51 183 [hyper,163,76] {-} colinear(A,B,A).
% 0.21/0.51 184 [hyper,163,75] {-} colinear(A,B,B).
% 0.21/0.51 185 [hyper,163,74] {-} colinear(A,A,B).
% 0.21/0.51 292,291 [hyper,185,84,183,184] {-} y=x.
% 0.21/0.51 293 [back_demod,85,demod,292,292,292,292,unit_del,185,185,185,183] {-} $F.
% 0.21/0.51
% 0.21/0.51 % SZS output end Refutation
% 0.21/0.51 ------------ end of proof -------------
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 Search stopped by max_proofs option.
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 Search stopped by max_proofs option.
% 0.21/0.51
% 0.21/0.51 ============ end of search ============
% 0.21/0.51
% 0.21/0.51 That finishes the proof of the theorem.
% 0.21/0.51
% 0.21/0.51 Process 8971 finished Sat Jun 18 07:50:58 2022
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