%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO069-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n009.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 06:17:53 EDT 2022
% Result : Unsatisfiable 0.86s 1.06s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO069-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n009.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 : Sat Jun 18 15:42:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.37 ----- Otter 3.2, August 2001 -----
% 0.18/0.37 The process was started by sandbox2 on n009.cluster.edu,
% 0.18/0.37 Sat Jun 18 15:42:53 2022
% 0.18/0.37 The command was "./sos". The process ID is 23308.
% 0.18/0.37
% 0.18/0.37 set(prolog_style_variables).
% 0.18/0.37 set(auto).
% 0.18/0.37 dependent: set(auto1).
% 0.18/0.37 dependent: set(process_input).
% 0.18/0.37 dependent: clear(print_kept).
% 0.18/0.37 dependent: clear(print_new_demod).
% 0.18/0.37 dependent: clear(print_back_demod).
% 0.18/0.37 dependent: clear(print_back_sub).
% 0.18/0.37 dependent: set(control_memory).
% 0.18/0.37 dependent: assign(max_mem, 12000).
% 0.18/0.37 dependent: assign(pick_given_ratio, 4).
% 0.18/0.37 dependent: assign(stats_level, 1).
% 0.18/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.37 dependent: assign(sos_limit, 5000).
% 0.18/0.37 dependent: assign(max_weight, 60).
% 0.18/0.37 clear(print_given).
% 0.18/0.37
% 0.18/0.37 list(usable).
% 0.18/0.37
% 0.18/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.18/0.37
% 0.18/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.37 clauses in usable.
% 0.18/0.37
% 0.18/0.37 dependent: set(knuth_bendix).
% 0.18/0.37 dependent: set(para_from).
% 0.18/0.37 dependent: set(para_into).
% 0.18/0.37 dependent: clear(para_from_right).
% 0.18/0.37 dependent: clear(para_into_right).
% 0.18/0.37 dependent: set(para_from_vars).
% 0.18/0.37 dependent: set(eq_units_both_ways).
% 0.18/0.37 dependent: set(dynamic_demod_all).
% 0.18/0.37 dependent: set(dynamic_demod).
% 0.18/0.37 dependent: set(order_eq).
% 0.18/0.37 dependent: set(back_demod).
% 0.18/0.37 dependent: set(lrpo).
% 0.18/0.37 dependent: set(hyper_res).
% 0.18/0.37 dependent: set(unit_deletion).
% 0.18/0.37 dependent: set(factor).
% 0.18/0.37
% 0.18/0.37 ------------> process usable:
% 0.18/0.37 Following clause subsumed by 40 during input processing: 0 [] {-} -between(A,B,C)| -between(B,A,C)|A=B|B=C.
% 0.18/0.37 Following clause subsumed by 41 during input processing: 0 [] {-} -between(A,B,C)| -between(A,C,B)|A=B|B=C.
% 0.18/0.37 131 back subsumes 108.
% 0.18/0.37
% 0.18/0.37 ------------> process sos:
% 0.18/0.37 Following clause subsumed by 153 during input processing: 0 [demod,156] {-} between(A,B,extension(A,B,A,B)).
% 0.18/0.37 Following clause subsumed by 154 during input processing: 0 [demod,156] {-} equidistant(A,extension(B,A,B,A),B,A).
% 0.18/0.37 Following clause subsumed by 153 during input processing: 0 [] {-} between(A,B,extension(A,B,lower_dimension_point_1,lower_dimension_point_2)).
% 0.18/0.37 Following clause subsumed by 164 during input processing: 0 [] {-} A=A.
% 0.18/0.37 152 back subsumes 150.
% 0.18/0.37 152 back subsumes 149.
% 0.18/0.37 152 back subsumes 148.
% 0.18/0.37 152 back subsumes 146.
% 0.18/0.37 152 back subsumes 145.
% 0.18/0.37 152 back subsumes 138.
% 0.18/0.37 159 back subsumes 117.
% 0.18/0.37 159 back subsumes 104.
% 0.18/0.37 159 back subsumes 90.
% 0.18/0.37 Following clause subsumed by 164 during input processing: 0 [copy,164,flip.1] {-} A=A.
% 0.18/0.37 164 back subsumes 107.
% 0.18/0.37 164 back subsumes 106.
% 0.18/0.37 164 back subsumes 105.
% 0.18/0.37 165 back subsumes 120.
% 0.18/0.37 165 back subsumes 119.
% 0.18/0.37 165 back subsumes 118.
% 0.18/0.37 165 back subsumes 114.
% 0.18/0.37 165 back subsumes 113.
% 0.18/0.37 165 back subsumes 91.
% 0.18/0.37 172 back subsumes 130.
% 0.18/0.37 172 back subsumes 128.
% 0.18/0.37 172 back subsumes 127.
% 0.18/0.37 172 back subsumes 125.
% 0.18/0.37 172 back subsumes 124.
% 0.18/0.37 172 back subsumes 103.
% 0.18/0.37 172 back subsumes 95.
% 0.18/0.37 172 back subsumes 94.
% 0.18/0.37 173 back subsumes 131.
% 0.18/0.37 173 back subsumes 129.
% 0.18/0.37 173 back subsumes 126.
% 0.18/0.37 173 back subsumes 96.
% 0.18/0.37 177 back subsumes 135.
% 0.18/0.37 177 back subsumes 133.
% 0.18/0.37 179 back subsumes 137.
% 0.18/0.37 179 back subsumes 136.
% 0.18/0.37 179 back subsumes 134.
% 0.18/0.37
% 0.18/0.37 ======= end of input processing =======
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 Failed to model usable list: disabling FINDER
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 -------------- Softie stats --------------
% 0.18/0.47
% 0.18/0.47 UPDATE_STOP: 300
% 0.18/0.47 SFINDER_TIME_LIMIT: 2
% 0.18/0.47 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.47 number of clauses in intial UL: 100
% 0.18/0.47 number of clauses initially in problem: 130
% 0.18/0.47 percentage of clauses intially in UL: 76
% 0.18/0.47 percentage of distinct symbols occuring in initial UL: 88
% 0.18/0.47 percent of all initial clauses that are short: 100
% 0.18/0.47 absolute distinct symbol count: 18
% 0.18/0.47 distinct predicate count: 4
% 0.18/0.47 distinct function count: 7
% 0.18/0.47 distinct constant count: 7
% 0.18/0.47
% 0.18/0.47 ---------- no more Softie stats ----------
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 =========== start of search ===========
% 0.86/1.06
% 0.86/1.06 -------- PROOF --------
% 0.86/1.06 % SZS status Unsatisfiable
% 0.86/1.06 % SZS output start Refutation
% 0.86/1.06
% 0.86/1.06 -----> EMPTY CLAUSE at 0.68 sec ----> 2450 [hyper,1654,89,1452] {-} $F.
% 0.86/1.06
% 0.86/1.06 Length of proof is 7. Level of proof is 3.
% 0.86/1.06
% 0.86/1.06 ---------------- PROOF ----------------
% 0.86/1.06 % SZS status Unsatisfiable
% 0.86/1.06 % SZS output start Refutation
% 0.86/1.06
% 0.86/1.06 77 [] {+} -colinear(A,B,C)|colinear(C,B,A).
% 0.86/1.06 78 [] {+} -colinear(A,B,C)|colinear(B,C,A).
% 0.86/1.06 85 [] {+} -colinear(A,B,C)| -colinear(A,B,D)|colinear(A,C,D)|A=B.
% 0.86/1.06 86 [] {+} -colinear(A,B,C)| -colinear(A,B,D)|colinear(B,C,D)|A=B.
% 0.86/1.06 87 [] {-} u!=v.
% 0.86/1.06 88 [copy,87,flip.1] {+} v!=u.
% 0.86/1.06 89 [] {+} -colinear(x,w,u)| -colinear(x,w,v).
% 0.86/1.06 180 [] {-} colinear(w,v,u).
% 0.86/1.06 181 [] {-} colinear(x,v,u).
% 0.86/1.06 310 [hyper,180,78] {-} colinear(v,u,w).
% 0.86/1.06 404 [hyper,181,78] {-} colinear(v,u,x).
% 0.86/1.06 1271 [hyper,404,86,310,unit_del,88] {-} colinear(u,w,x).
% 0.86/1.06 1273 [hyper,404,85,310,unit_del,88] {-} colinear(v,w,x).
% 0.86/1.06 1452 [hyper,1271,77] {-} colinear(x,w,u).
% 0.86/1.06 1654 [hyper,1273,77] {-} colinear(x,w,v).
% 0.86/1.06 2450 [hyper,1654,89,1452] {-} $F.
% 0.86/1.06
% 0.86/1.06 % SZS output end Refutation
% 0.86/1.06 ------------ end of proof -------------
% 0.86/1.06
% 0.86/1.06
% 0.86/1.06 Search stopped by max_proofs option.
% 0.86/1.06
% 0.86/1.06
% 0.86/1.06 Search stopped by max_proofs option.
% 0.86/1.06
% 0.86/1.06 ============ end of search ============
% 0.86/1.06
% 0.86/1.06 That finishes the proof of the theorem.
% 0.86/1.06
% 0.86/1.06 Process 23308 finished Sat Jun 18 15:42:53 2022
%------------------------------------------------------------------------------