TSTP Solution File: GEO018-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO018-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n011.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 05:53:16 EDT 2022
% Result : Unsatisfiable 0.81s 1.08s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : GEO018-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n011.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 14:15:23 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.50/1.08 ============================== Prover9 ===============================
% 0.50/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.50/1.08 Process 3857 was started by sandbox on n011.cluster.edu,
% 0.50/1.08 Sat Jun 18 14:15:23 2022
% 0.50/1.08 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3702_n011.cluster.edu".
% 0.50/1.08 ============================== end of head ===========================
% 0.50/1.08
% 0.50/1.08 ============================== INPUT =================================
% 0.50/1.08
% 0.50/1.08 % Reading from file /tmp/Prover9_3702_n011.cluster.edu
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% 0.50/1.08 set(prolog_style_variables).
% 0.50/1.08 set(auto2).
% 0.50/1.08 % set(auto2) -> set(auto).
% 0.50/1.08 % set(auto) -> set(auto_inference).
% 0.50/1.08 % set(auto) -> set(auto_setup).
% 0.50/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.50/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.50/1.08 % set(auto) -> set(auto_limits).
% 0.50/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.50/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.50/1.08 % set(auto) -> set(auto_denials).
% 0.50/1.08 % set(auto) -> set(auto_process).
% 0.50/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.50/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.50/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.50/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.50/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.50/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.50/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.50/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.50/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.50/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.50/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.50/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.50/1.08 % set(auto2) -> assign(stats, some).
% 0.50/1.08 % set(auto2) -> clear(echo_input).
% 0.50/1.08 % set(auto2) -> set(quiet).
% 0.50/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.50/1.08 % set(auto2) -> clear(print_given).
% 0.50/1.08 assign(lrs_ticks,-1).
% 0.50/1.08 assign(sos_limit,10000).
% 0.50/1.08 assign(order,kbo).
% 0.50/1.08 set(lex_order_vars).
% 0.50/1.08 clear(print_given).
% 0.50/1.08
% 0.50/1.08 % formulas(sos). % not echoed (20 formulas)
% 0.50/1.08
% 0.50/1.08 ============================== end of input ==========================
% 0.50/1.08
% 0.50/1.08 % From the command line: assign(max_seconds, 300).
% 0.50/1.08
% 0.50/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.50/1.08
% 0.50/1.08 % Formulas that are not ordinary clauses:
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% 0.50/1.08 ============================== end of process non-clausal formulas ===
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% 0.50/1.08 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.50/1.08 ============================== PREDICATE ELIMINATION =================
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% 0.50/1.08 ============================== end predicate elimination =============
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% 0.50/1.08 Auto_denials: (non-Horn, no changes).
% 0.50/1.08
% 0.50/1.08 Term ordering decisions:
% 0.50/1.08 Function symbol KB weights: u=1. v=1. w=1. x=1. lower_dimension_point_1=1. lower_dimension_point_2=1. lower_dimension_point_3=1. extension=1. euclid1=1. euclid2=1. inner_pasch=1. continuous=1.
% 0.50/1.08
% 0.50/1.08 ============================== end of process initial clauses ========
% 0.50/1.08
% 0.50/1.08 ============================== CLAUSES FOR SEARCH ====================
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% 0.50/1.08 ============================== end of clauses for search =============
% 0.50/1.08
% 0.50/1.08 ============================== SEARCH ================================
% 0.50/1.08
% 0.50/1.08 % Starting search at 0.01 seconds.
% 0.50/1.08
% 0.50/1.08 ============================== PROOF =================================
% 0.81/1.08 % SZS status Unsatisfiable
% 0.81/1.08 % SZS output start Refutation
% 0.81/1.08
% 0.81/1.08 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.81/1.08 % Length of proof is 6.
% 0.81/1.08 % Level of proof is 2.
% 0.81/1.08 % Maximum clause weight is 15.000.
% 0.81/1.08 % Given clauses 37.
% 0.81/1.08
% 0.81/1.08 1 equidistant(A,B,B,A) # label(reflexivity_for_equidistance) # label(axiom). [assumption].
% 0.81/1.08 2 equidistant(u,v,w,x) # label(u_to_v_equals_w_to_x) # label(hypothesis). [assumption].
% 0.81/1.08 8 -equidistant(v,u,x,w) # label(prove_symmetry) # label(negated_conjecture). [assumption].
% 0.81/1.08 11 -equidistant(A,B,C,D) | -equidistant(A,B,E,F) | equidistant(C,D,E,F) # label(transitivity_for_equidistance) # label(axiom). [assumption].
% 0.81/1.08 46 -equidistant(w,x,v,u). [ur(11,b,1,a,c,8,a)].
% 0.81/1.08 142 $F. [ur(11,b,1,a,c,46,a),unit_del(a,2)].
% 0.81/1.08
% 0.81/1.08 % SZS output end Refutation
% 0.81/1.08 ============================== end of proof ==========================
% 0.81/1.08
% 0.81/1.08 ============================== STATISTICS ============================
% 0.81/1.08
% 0.81/1.08 Given=37. Generated=256. Kept=141. proofs=1.
% 0.81/1.08 Usable=28. Sos=71. Demods=1. Limbo=1, Disabled=61. Hints=0.
% 0.81/1.08 Megabytes=0.17.
% 0.81/1.08 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.81/1.08
% 0.81/1.08 ============================== end of statistics =====================
% 0.81/1.08
% 0.81/1.08 ============================== end of search =========================
% 0.81/1.08
% 0.81/1.08 THEOREM PROVED
% 0.81/1.08 % SZS status Unsatisfiable
% 0.81/1.08
% 0.81/1.08 Exiting with 1 proof.
% 0.81/1.08
% 0.81/1.08 Process 3857 exit (max_proofs) Sat Jun 18 14:15:23 2022
% 0.81/1.08 Prover9 interrupted
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