TSTP Solution File: GEO037-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO037-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n013.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 05:53:27 EDT 2022
% Result : Unsatisfiable 18.59s 18.89s
% Output : Refutation 18.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO037-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 04:41:59 EDT 2022
% 0.14/0.36 % CPUTime :
% 18.59/18.89 ============================== Prover9 ===============================
% 18.59/18.89 Prover9 (32) version 2009-11A, November 2009.
% 18.59/18.89 Process 27743 was started by sandbox2 on n013.cluster.edu,
% 18.59/18.89 Sat Jun 18 04:41:59 2022
% 18.59/18.89 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_27590_n013.cluster.edu".
% 18.59/18.89 ============================== end of head ===========================
% 18.59/18.89
% 18.59/18.89 ============================== INPUT =================================
% 18.59/18.89
% 18.59/18.89 % Reading from file /tmp/Prover9_27590_n013.cluster.edu
% 18.59/18.89
% 18.59/18.89 set(prolog_style_variables).
% 18.59/18.89 set(auto2).
% 18.59/18.89 % set(auto2) -> set(auto).
% 18.59/18.89 % set(auto) -> set(auto_inference).
% 18.59/18.89 % set(auto) -> set(auto_setup).
% 18.59/18.89 % set(auto_setup) -> set(predicate_elim).
% 18.59/18.89 % set(auto_setup) -> assign(eq_defs, unfold).
% 18.59/18.89 % set(auto) -> set(auto_limits).
% 18.59/18.89 % set(auto_limits) -> assign(max_weight, "100.000").
% 18.59/18.89 % set(auto_limits) -> assign(sos_limit, 20000).
% 18.59/18.89 % set(auto) -> set(auto_denials).
% 18.59/18.89 % set(auto) -> set(auto_process).
% 18.59/18.89 % set(auto2) -> assign(new_constants, 1).
% 18.59/18.89 % set(auto2) -> assign(fold_denial_max, 3).
% 18.59/18.89 % set(auto2) -> assign(max_weight, "200.000").
% 18.59/18.89 % set(auto2) -> assign(max_hours, 1).
% 18.59/18.89 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 18.59/18.89 % set(auto2) -> assign(max_seconds, 0).
% 18.59/18.89 % set(auto2) -> assign(max_minutes, 5).
% 18.59/18.89 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 18.59/18.89 % set(auto2) -> set(sort_initial_sos).
% 18.59/18.89 % set(auto2) -> assign(sos_limit, -1).
% 18.59/18.89 % set(auto2) -> assign(lrs_ticks, 3000).
% 18.59/18.89 % set(auto2) -> assign(max_megs, 400).
% 18.59/18.89 % set(auto2) -> assign(stats, some).
% 18.59/18.89 % set(auto2) -> clear(echo_input).
% 18.59/18.89 % set(auto2) -> set(quiet).
% 18.59/18.89 % set(auto2) -> clear(print_initial_clauses).
% 18.59/18.89 % set(auto2) -> clear(print_given).
% 18.59/18.89 assign(lrs_ticks,-1).
% 18.59/18.89 assign(sos_limit,10000).
% 18.59/18.89 assign(order,kbo).
% 18.59/18.89 set(lex_order_vars).
% 18.59/18.89 clear(print_given).
% 18.59/18.89
% 18.59/18.89 % formulas(sos). % not echoed (61 formulas)
% 18.59/18.89
% 18.59/18.89 ============================== end of input ==========================
% 18.59/18.89
% 18.59/18.89 % From the command line: assign(max_seconds, 300).
% 18.59/18.89
% 18.59/18.89 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 18.59/18.89
% 18.59/18.89 % Formulas that are not ordinary clauses:
% 18.59/18.89
% 18.59/18.89 ============================== end of process non-clausal formulas ===
% 18.59/18.89
% 18.59/18.89 ============================== PROCESS INITIAL CLAUSES ===============
% 18.59/18.89
% 18.59/18.89 ============================== PREDICATE ELIMINATION =================
% 18.59/18.89
% 18.59/18.89 ============================== end predicate elimination =============
% 18.59/18.89
% 18.59/18.89 Auto_denials: (non-Horn, no changes).
% 18.59/18.89
% 18.59/18.89 Term ordering decisions:
% 18.59/18.89 Function symbol KB weights: v=1. lower_dimension_point_1=1. lower_dimension_point_2=1. u=1. x=1. w=1. lower_dimension_point_3=1. reflection=1. extension=1. euclid1=1. euclid2=1. inner_pasch=1. continuous=1.
% 18.59/18.89
% 18.59/18.89 ============================== end of process initial clauses ========
% 18.59/18.89
% 18.59/18.89 ============================== CLAUSES FOR SEARCH ====================
% 18.59/18.89
% 18.59/18.89 ============================== end of clauses for search =============
% 18.59/18.89
% 18.59/18.89 ============================== SEARCH ================================
% 18.59/18.89
% 18.59/18.89 % Starting search at 0.02 seconds.
% 18.59/18.89
% 18.59/18.89 ============================== PROOF =================================
% 18.59/18.89 % SZS status Unsatisfiable
% 18.59/18.89 % SZS output start Refutation
% 18.59/18.89
% 18.59/18.89 % Proof 1 at 17.83 (+ 0.01) seconds.
% 18.59/18.89 % Length of proof is 17.
% 18.59/18.89 % Level of proof is 4.
% 18.59/18.89 % Maximum clause weight is 20.000.
% 18.59/18.89 % Given clauses 223.
% 18.59/18.89
% 18.59/18.89 14 between(A,B,extension(A,B,C,D)) # label(segment_construction1) # label(axiom). [assumption].
% 18.59/18.89 15 equidistant(A,extension(B,A,C,D),C,D) # label(segment_construction2) # label(axiom). [assumption].
% 18.59/18.89 21 lower_dimension_point_1 != lower_dimension_point_2 # label(e2_1) # label(axiom). [assumption].
% 18.59/18.89 22 lower_dimension_point_2 != lower_dimension_point_1. [copy(21),flip(a)].
% 18.59/18.89 31 -equidistant(A,B,C,C) | A = B # label(identity_for_equidistance) # label(axiom). [assumption].
% 18.59/18.89 37 -equidistant(A,B,C,D) | equidistant(C,D,A,B) # label(d2) # label(axiom). [assumption].
% 18.59/18.89 43 -equidistant(A,B,C,D) | equidistant(D,C,B,A) # label(d4_5) # label(axiom). [assumption].
% 18.59/18.89 55 -equidistant(A,B,C,D) | -equidistant(C,D,E,F) | equidistant(A,B,E,F) # label(d5) # label(axiom). [assumption].
% 18.59/18.89 67 v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) | -equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) | -between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) # label(prove_lengthen) # label(negated_conjecture). [assumption].
% 18.59/18.89 68 extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v | -equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)). [copy(67),flip(a),unit_del(c,14)].
% 18.59/18.89 93 -equidistant(lower_dimension_point_2,lower_dimension_point_1,A,A). [ur(31,b,22,a)].
% 18.59/18.89 110 equidistant(A,B,C,extension(D,C,A,B)). [resolve(37,a,15,a)].
% 18.59/18.89 149 -equidistant(A,B,C,D) | equidistant(E,extension(F,E,A,B),C,D). [resolve(55,a,15,a)].
% 18.59/18.89 355 -equidistant(A,A,lower_dimension_point_1,lower_dimension_point_2). [ur(43,b,93,a)].
% 18.59/18.89 2863 equidistant(A,extension(B,A,C,D),E,extension(F,E,C,D)). [resolve(149,a,110,a)].
% 18.59/18.89 2864 extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v. [back_unit_del(68),unit_del(b,2863)].
% 18.59/18.89 2986 $F. [para(2864(a,1),15(a,2)),unit_del(a,355)].
% 18.59/18.89
% 18.59/18.89 % SZS output end Refutation
% 18.59/18.89 ============================== end of proof ==========================
% 18.59/18.89
% 18.59/18.89 ============================== STATISTICS ============================
% 18.59/18.89
% 18.59/18.89 Given=223. Generated=9899. Kept=2972. proofs=1.
% 18.59/18.89 Usable=215. Sos=2521. Demods=8. Limbo=0, Disabled=297. Hints=0.
% 18.59/18.89 Megabytes=2.47.
% 18.59/18.89 User_CPU=17.83, System_CPU=0.01, Wall_clock=18.
% 18.59/18.89
% 18.59/18.89 ============================== end of statistics =====================
% 18.59/18.89
% 18.59/18.89 ============================== end of search =========================
% 18.59/18.89
% 18.59/18.89 THEOREM PROVED
% 18.59/18.89 % SZS status Unsatisfiable
% 18.59/18.89
% 18.59/18.89 Exiting with 1 proof.
% 18.59/18.89
% 18.59/18.89 Process 27743 exit (max_proofs) Sat Jun 18 04:42:17 2022
% 18.59/18.89 Prover9 interrupted
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