TSTP Solution File: GEO068-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO068-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n019.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 05:53:43 EDT 2022
% Result : Unsatisfiable 2.95s 3.27s
% Output : Refutation 2.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO068-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n019.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 10:48:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.74/2.99 ============================== Prover9 ===============================
% 2.74/2.99 Prover9 (32) version 2009-11A, November 2009.
% 2.74/2.99 Process 30789 was started by sandbox on n019.cluster.edu,
% 2.74/2.99 Sat Jun 18 10:48:40 2022
% 2.74/2.99 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_30636_n019.cluster.edu".
% 2.74/2.99 ============================== end of head ===========================
% 2.74/2.99
% 2.74/2.99 ============================== INPUT =================================
% 2.74/2.99
% 2.74/2.99 % Reading from file /tmp/Prover9_30636_n019.cluster.edu
% 2.74/2.99
% 2.74/2.99 set(prolog_style_variables).
% 2.74/2.99 set(auto2).
% 2.74/2.99 % set(auto2) -> set(auto).
% 2.74/2.99 % set(auto) -> set(auto_inference).
% 2.74/2.99 % set(auto) -> set(auto_setup).
% 2.74/2.99 % set(auto_setup) -> set(predicate_elim).
% 2.74/2.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 2.74/2.99 % set(auto) -> set(auto_limits).
% 2.74/2.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 2.74/2.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 2.74/2.99 % set(auto) -> set(auto_denials).
% 2.74/2.99 % set(auto) -> set(auto_process).
% 2.74/2.99 % set(auto2) -> assign(new_constants, 1).
% 2.74/2.99 % set(auto2) -> assign(fold_denial_max, 3).
% 2.74/2.99 % set(auto2) -> assign(max_weight, "200.000").
% 2.74/2.99 % set(auto2) -> assign(max_hours, 1).
% 2.74/2.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 2.74/2.99 % set(auto2) -> assign(max_seconds, 0).
% 2.74/2.99 % set(auto2) -> assign(max_minutes, 5).
% 2.74/2.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 2.74/2.99 % set(auto2) -> set(sort_initial_sos).
% 2.74/2.99 % set(auto2) -> assign(sos_limit, -1).
% 2.74/2.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 2.74/2.99 % set(auto2) -> assign(max_megs, 400).
% 2.74/2.99 % set(auto2) -> assign(stats, some).
% 2.74/2.99 % set(auto2) -> clear(echo_input).
% 2.74/2.99 % set(auto2) -> set(quiet).
% 2.74/2.99 % set(auto2) -> clear(print_initial_clauses).
% 2.74/2.99 % set(auto2) -> clear(print_given).
% 2.74/2.99 assign(lrs_ticks,-1).
% 2.74/2.99 assign(sos_limit,10000).
% 2.74/2.99 assign(order,kbo).
% 2.74/2.99 set(lex_order_vars).
% 2.74/2.99 clear(print_given).
% 2.74/2.99
% 2.74/2.99 % formulas(sos). % not echoed (105 formulas)
% 2.74/2.99
% 2.74/2.99 ============================== end of input ==========================
% 2.74/2.99
% 2.74/2.99 % From the command line: assign(max_seconds, 300).
% 2.74/2.99
% 2.74/2.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 2.74/2.99
% 2.74/2.99 % Formulas that are not ordinary clauses:
% 2.74/2.99
% 2.74/2.99 ============================== end of process non-clausal formulas ===
% 2.74/2.99
% 2.74/2.99 ============================== PROCESS INITIAL CLAUSES ===============
% 2.74/2.99
% 2.74/2.99 ============================== PREDICATE ELIMINATION =================
% 2.74/2.99
% 2.74/2.99 ============================== end predicate elimination =============
% 2.74/2.99
% 2.74/2.99 Auto_denials: (non-Horn, no changes).
% 2.74/2.99
% 2.74/2.99 Term ordering decisions:
% 2.74/2.99 Function symbol KB weights: lower_dimension_point_1=1. lower_dimension_point_2=1. u=1. v=1. w=1. u1=1. v1=1. w1=1. lower_dimension_point_3=1. reflection=1. extension=1. insertion=1. inner_pasch=1. euclid1=1. euclid2=1. continuous=1.
% 2.74/2.99
% 2.74/2.99 ============================== end of process initial clauses ========
% 2.74/2.99
% 2.74/2.99 ============================== CLAUSES FOR SEARCH ====================
% 2.74/2.99
% 2.74/2.99 ============================== end of clauses for search =============
% 2.74/2.99
% 2.74/2.99 ============================== SEARCH ================================
% 2.74/2.99
% 2.74/2.99 % Starting search at 0.03 seconds.
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=54.000, iters=3388
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=50.000, iters=3341
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=47.000, iters=3356
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=46.000, iters=3386
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=43.000, iters=3339
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=42.000, iters=3342
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=40.000, iters=3369
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=39.000, iters=3376
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=38.000, iters=3335
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=37.000, iters=3357
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=36.000, iters=3383
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=34.000, iters=3716
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=30.000, iters=5067
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=27.000, iters=4350
% 2.74/2.99
% 2.74/2.99 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 80 (0.00 of 1.21 sec).
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=25.000, iters=3407
% 2.74/2.99
% 2.74/2.99 Low Water (displace): id=2057, wt=72.000
% 2.74/2.99
% 2.74/2.99 Low Water (displace): id=10873, wt=25.000
% 2.74/2.99
% 2.74/2.99 Low Water (displace): id=10874, wt=24.000
% 2.74/2.99
% 2.74/2.99 Low Water (displace): id=10877, wt=22.000
% 2.74/2.99
% 2.74/2.99 Low Water (displace): id=10878, wt=16.000
% 2.74/2.99
% 2.74/2.99 Low Water (displace): id=10903, wt=15.000
% 2.74/2.99
% 2.74/2.99 Low Water (displace): id=11166, wt=12.000
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=21.000, iters=4188
% 2.74/2.99
% 2.74/2.99 Low Water (keep): wt=20.000, iters=3624
% 2.95/3.27
% 2.95/3.27 Low Water (keep): wt=19.000, iters=3396
% 2.95/3.27
% 2.95/3.27 Low Water (keep): wt=18.000, iters=3346
% 2.95/3.27
% 2.95/3.27 ============================== PROOF =================================
% 2.95/3.27 % SZS status Unsatisfiable
% 2.95/3.27 % SZS output start Refutation
% 2.95/3.27
% 2.95/3.27 % Proof 1 at 2.23 (+ 0.05) seconds.
% 2.95/3.27 % Length of proof is 31.
% 2.95/3.27 % Level of proof is 10.
% 2.95/3.27 % Maximum clause weight is 23.000.
% 2.95/3.27 % Given clauses 1372.
% 2.95/3.27
% 2.95/3.27 19 -between(A,B,C) | colinear(A,B,C) # label(colinearity1) # label(axiom). [assumption].
% 2.95/3.27 21 -between(A,B,C) | colinear(B,C,A) # label(colinearity3) # label(axiom). [assumption].
% 2.95/3.27 22 -colinear(A,B,C) | between(A,B,C) | between(B,C,A) | between(C,A,B) # label(colinearity4) # label(axiom). [assumption].
% 2.95/3.27 29 -equidistant(A,B,C,D) | equidistant(B,A,D,C) # label(d4_2) # label(axiom). [assumption].
% 2.95/3.27 59 -between(A,B,C) | between(C,B,A) # label(t1) # label(axiom). [assumption].
% 2.95/3.27 93 -equidistant(A,B,C,D) | -equidistant(B,E,D,F) | -equidistant(A,E,C,F) | -between(A,B,E) | between(C,D,F) # label(b11) # label(axiom). [assumption].
% 2.95/3.27 102 -between(A,B,C) | colinear(A,C,B) # label(c2_2) # label(axiom). [assumption].
% 2.95/3.27 108 -colinear(A,B,C) | colinear(B,A,C) # label(t10_5) # label(axiom). [assumption].
% 2.95/3.27 114 equidistant(u,v,u1,v1) # label(u_to_v_equals_u1_to_v1) # label(hypothesis). [assumption].
% 2.95/3.27 115 equidistant(v,w,v1,w1) # label(v_to_w_equals_v1_to_w1) # label(hypothesis). [assumption].
% 2.95/3.27 116 equidistant(u,w,u1,w1) # label(u_to_w_equals_u1_to_w1) # label(hypothesis). [assumption].
% 2.95/3.27 117 colinear(u,v,w) # label(uvw_colinear) # label(hypothesis). [assumption].
% 2.95/3.27 118 -colinear(u1,v1,w1) # label(prove_u1v1w1_colinear) # label(negated_conjecture). [assumption].
% 2.95/3.27 394 -equidistant(u,A,u1,B) | -equidistant(A,v,B,v1) | -between(u,A,v) | between(u1,B,v1). [resolve(114,a,93,c)].
% 2.95/3.27 395 -equidistant(A,u,B,u1) | -equidistant(A,v,B,v1) | -between(A,u,v) | between(B,u1,v1). [resolve(114,a,93,b)].
% 2.95/3.27 396 -equidistant(v,A,v1,B) | -equidistant(u,A,u1,B) | -between(u,v,A) | between(u1,v1,B). [resolve(114,a,93,a)].
% 2.95/3.27 454 equidistant(w,v,w1,v1). [resolve(115,a,29,a)].
% 2.95/3.27 490 equidistant(w,u,w1,u1). [resolve(116,a,29,a)].
% 2.95/3.27 502 colinear(v,u,w). [resolve(117,a,108,a)].
% 2.95/3.27 547 between(v,u,w) | between(u,w,v) | between(w,v,u). [resolve(502,a,22,a)].
% 2.95/3.27 10223 between(v,u,w) | between(u,w,v) | between(u,v,w). [resolve(547,c,59,a)].
% 2.95/3.27 10970 between(u,w,v) | between(u,v,w) | between(w,u,v). [resolve(10223,a,59,a)].
% 2.95/3.27 18108 -between(u,w,v) | between(u1,w1,v1). [resolve(394,a,116,a),unit_del(a,454)].
% 2.95/3.27 18118 -between(w,u,v) | between(w1,u1,v1). [resolve(395,b,454,a),unit_del(a,490)].
% 2.95/3.27 18125 between(w1,u1,v1) | between(u,w,v) | between(u,v,w). [resolve(18118,a,10970,c)].
% 2.95/3.27 18127 -between(u,v,w) | between(u1,v1,w1). [resolve(396,a,115,a),unit_del(a,116)].
% 2.95/3.27 18287 between(u,w,v) | between(u,v,w). [resolve(18125,a,21,a),unit_del(c,118)].
% 2.95/3.27 18288 between(u,v,w) | between(u1,w1,v1). [resolve(18287,a,18108,a)].
% 2.95/3.27 18463 between(u,v,w). [resolve(18288,b,102,a),unit_del(b,118)].
% 2.95/3.27 18464 between(u1,v1,w1). [back_unit_del(18127),unit_del(a,18463)].
% 2.95/3.27 18706 $F. [resolve(18464,a,19,a),unit_del(a,118)].
% 2.95/3.27
% 2.95/3.27 % SZS output end Refutation
% 2.95/3.27 ============================== end of proof ==========================
% 2.95/3.27
% 2.95/3.27 ============================== STATISTICS ============================
% 2.95/3.27
% 2.95/3.27 Given=1372. Generated=88921. Kept=18685. proofs=1.
% 2.95/3.27 Usable=1335. Sos=9999. Demods=78. Limbo=115, Disabled=7341. Hints=0.
% 2.95/3.27 Megabytes=13.70.
% 2.95/3.27 User_CPU=2.23, System_CPU=0.05, Wall_clock=2.
% 2.95/3.27
% 2.95/3.27 ============================== end of statistics =====================
% 2.95/3.27
% 2.95/3.27 ============================== end of search =========================
% 2.95/3.27
% 2.95/3.27 THEOREM PROVED
% 2.95/3.27 % SZS status Unsatisfiable
% 2.95/3.27
% 2.95/3.27 Exiting with 1 proof.
% 2.95/3.27
% 2.95/3.27 Process 30789 exit (max_proofs) Sat Jun 18 10:48:42 2022
% 2.95/3.27 Prover9 interrupted
%------------------------------------------------------------------------------