TSTP Solution File: GEO029-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO029-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.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 05:53:22 EDT 2022
% Result : Unsatisfiable 1.18s 1.45s
% Output : Refutation 1.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO029-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Fri Jun 17 23:46:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.18/1.45 ============================== Prover9 ===============================
% 1.18/1.45 Prover9 (32) version 2009-11A, November 2009.
% 1.18/1.45 Process 1695 was started by sandbox2 on n023.cluster.edu,
% 1.18/1.45 Fri Jun 17 23:46:05 2022
% 1.18/1.45 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_1538_n023.cluster.edu".
% 1.18/1.45 ============================== end of head ===========================
% 1.18/1.45
% 1.18/1.45 ============================== INPUT =================================
% 1.18/1.45
% 1.18/1.45 % Reading from file /tmp/Prover9_1538_n023.cluster.edu
% 1.18/1.45
% 1.18/1.45 set(prolog_style_variables).
% 1.18/1.45 set(auto2).
% 1.18/1.45 % set(auto2) -> set(auto).
% 1.18/1.45 % set(auto) -> set(auto_inference).
% 1.18/1.45 % set(auto) -> set(auto_setup).
% 1.18/1.45 % set(auto_setup) -> set(predicate_elim).
% 1.18/1.45 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.18/1.45 % set(auto) -> set(auto_limits).
% 1.18/1.45 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.18/1.45 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.18/1.45 % set(auto) -> set(auto_denials).
% 1.18/1.45 % set(auto) -> set(auto_process).
% 1.18/1.45 % set(auto2) -> assign(new_constants, 1).
% 1.18/1.45 % set(auto2) -> assign(fold_denial_max, 3).
% 1.18/1.45 % set(auto2) -> assign(max_weight, "200.000").
% 1.18/1.45 % set(auto2) -> assign(max_hours, 1).
% 1.18/1.45 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.18/1.45 % set(auto2) -> assign(max_seconds, 0).
% 1.18/1.45 % set(auto2) -> assign(max_minutes, 5).
% 1.18/1.45 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.18/1.45 % set(auto2) -> set(sort_initial_sos).
% 1.18/1.45 % set(auto2) -> assign(sos_limit, -1).
% 1.18/1.45 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.18/1.45 % set(auto2) -> assign(max_megs, 400).
% 1.18/1.45 % set(auto2) -> assign(stats, some).
% 1.18/1.45 % set(auto2) -> clear(echo_input).
% 1.18/1.45 % set(auto2) -> set(quiet).
% 1.18/1.45 % set(auto2) -> clear(print_initial_clauses).
% 1.18/1.45 % set(auto2) -> clear(print_given).
% 1.18/1.45 assign(lrs_ticks,-1).
% 1.18/1.45 assign(sos_limit,10000).
% 1.18/1.45 assign(order,kbo).
% 1.18/1.45 set(lex_order_vars).
% 1.18/1.45 clear(print_given).
% 1.18/1.45
% 1.18/1.45 % formulas(sos). % not echoed (20 formulas)
% 1.18/1.45
% 1.18/1.45 ============================== end of input ==========================
% 1.18/1.45
% 1.18/1.45 % From the command line: assign(max_seconds, 300).
% 1.18/1.45
% 1.18/1.45 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.18/1.45
% 1.18/1.45 % Formulas that are not ordinary clauses:
% 1.18/1.45
% 1.18/1.45 ============================== end of process non-clausal formulas ===
% 1.18/1.45
% 1.18/1.45 ============================== PROCESS INITIAL CLAUSES ===============
% 1.18/1.45
% 1.18/1.45 ============================== PREDICATE ELIMINATION =================
% 1.18/1.45
% 1.18/1.45 ============================== end predicate elimination =============
% 1.18/1.45
% 1.18/1.45 Auto_denials: (non-Horn, no changes).
% 1.18/1.45
% 1.18/1.45 Term ordering decisions:
% 1.18/1.45 Function symbol KB weights: lower_dimension_point_1=1. lower_dimension_point_2=1. lower_dimension_point_3=1. u=1. v=1. extension=1. euclid1=1. euclid2=1. inner_pasch=1. continuous=1.
% 1.18/1.45
% 1.18/1.45 ============================== end of process initial clauses ========
% 1.18/1.45
% 1.18/1.45 ============================== CLAUSES FOR SEARCH ====================
% 1.18/1.45
% 1.18/1.45 ============================== end of clauses for search =============
% 1.18/1.45
% 1.18/1.45 ============================== SEARCH ================================
% 1.18/1.45
% 1.18/1.45 % Starting search at 0.01 seconds.
% 1.18/1.45
% 1.18/1.45 ============================== PROOF =================================
% 1.18/1.45 % SZS status Unsatisfiable
% 1.18/1.45 % SZS output start Refutation
% 1.18/1.45
% 1.18/1.45 % Proof 1 at 0.49 (+ 0.00) seconds.
% 1.18/1.45 % Length of proof is 20.
% 1.18/1.45 % Level of proof is 5.
% 1.18/1.45 % Maximum clause weight is 36.000.
% 1.18/1.45 % Given clauses 82.
% 1.18/1.45
% 1.18/1.45 1 equidistant(A,B,B,A) # label(reflexivity_for_equidistance) # label(axiom). [assumption].
% 1.18/1.45 2 between(A,B,extension(A,B,C,D)) # label(segment_construction1) # label(axiom). [assumption].
% 1.18/1.45 3 equidistant(A,extension(B,A,C,D),C,D) # label(segment_construction2) # label(axiom). [assumption].
% 1.18/1.45 4 u != v # label(u_not_v) # label(hypothesis). [assumption].
% 1.18/1.45 5 v != u. [copy(4),flip(a)].
% 1.18/1.45 9 extension(u,v,u,v) != extension(u,v,v,u) # label(prove_equal_extensions) # label(negated_conjecture). [assumption].
% 1.18/1.45 10 extension(u,v,v,u) != extension(u,v,u,v). [copy(9),flip(a)].
% 1.18/1.45 12 -equidistant(A,B,C,C) | A = B # label(identity_for_equidistance) # label(axiom). [assumption].
% 1.18/1.45 13 -equidistant(A,B,C,D) | -equidistant(A,B,E,F) | equidistant(C,D,E,F) # label(transitivity_for_equidistance) # label(axiom). [assumption].
% 1.18/1.45 22 -equidistant(A,B,C,D) | -equidistant(B,E,D,F) | -equidistant(A,V6,C,V7) | -equidistant(B,V6,D,V7) | -between(A,B,E) | -between(C,D,F) | A = B | equidistant(E,V6,F,V7) # label(outer_five_segment) # label(axiom). [assumption].
% 1.18/1.45 23 -equidistant(A,B,C,D) | equidistant(C,D,C,D). [factor(13,a,b)].
% 1.18/1.45 45 -equidistant(extension(u,v,v,u),extension(u,v,u,v),A,A). [ur(12,b,10,a)].
% 1.18/1.45 50 -equidistant(A,B,C,D) | equidistant(B,A,C,D). [resolve(13,a,1,a)].
% 1.18/1.45 52 -equidistant(A,B,C,D) | equidistant(C,D,B,A). [resolve(13,b,1,a)].
% 1.18/1.45 97 equidistant(A,B,A,B). [resolve(23,a,3,a)].
% 1.18/1.45 199 equidistant(extension(A,B,C,D),B,C,D). [resolve(50,a,3,a)].
% 1.18/1.45 209 -equidistant(v,extension(u,v,v,u),v,extension(u,v,u,v)). [ur(22,a,97,a,c,97,a,d,97,a,e,2,a,f,2,a,g,5,a(flip),h,45,a)].
% 1.18/1.45 219 equidistant(A,B,C,extension(D,C,A,B)). [resolve(52,a,199,a)].
% 1.18/1.45 222 equidistant(A,B,C,extension(D,C,B,A)). [resolve(219,a,50,a)].
% 1.18/1.45 338 $F. [ur(13,b,222,a,c,209,a),unit_del(a,219)].
% 1.18/1.45
% 1.18/1.45 % SZS output end Refutation
% 1.18/1.45 ============================== end of proof ==========================
% 1.18/1.45
% 1.18/1.45 ============================== STATISTICS ============================
% 1.18/1.45
% 1.18/1.45 Given=82. Generated=1389. Kept=335. proofs=1.
% 1.18/1.45 Usable=72. Sos=189. Demods=3. Limbo=5, Disabled=89. Hints=0.
% 1.18/1.45 Megabytes=0.33.
% 1.18/1.45 User_CPU=0.49, System_CPU=0.00, Wall_clock=0.
% 1.18/1.45
% 1.18/1.45 ============================== end of statistics =====================
% 1.18/1.45
% 1.18/1.45 ============================== end of search =========================
% 1.18/1.45
% 1.18/1.45 THEOREM PROVED
% 1.18/1.45 % SZS status Unsatisfiable
% 1.18/1.45
% 1.18/1.45 Exiting with 1 proof.
% 1.18/1.45
% 1.18/1.45 Process 1695 exit (max_proofs) Fri Jun 17 23:46:05 2022
% 1.18/1.45 Prover9 interrupted
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