TSTP Solution File: GEO039-2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO039-2 : TPTP v8.1.0. Released v1.0.0.
% 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 05:53:28 EDT 2022
% Result : Unsatisfiable 0.72s 1.02s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO039-2 : TPTP v8.1.0. Released v1.0.0.
% 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 05:37:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.02 ============================== Prover9 ===============================
% 0.72/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.72/1.02 Process 5035 was started by sandbox2 on n019.cluster.edu,
% 0.72/1.02 Sat Jun 18 05:37:55 2022
% 0.72/1.02 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_4882_n019.cluster.edu".
% 0.72/1.02 ============================== end of head ===========================
% 0.72/1.02
% 0.72/1.02 ============================== INPUT =================================
% 0.72/1.02
% 0.72/1.02 % Reading from file /tmp/Prover9_4882_n019.cluster.edu
% 0.72/1.02
% 0.72/1.02 set(prolog_style_variables).
% 0.72/1.02 set(auto2).
% 0.72/1.02 % set(auto2) -> set(auto).
% 0.72/1.02 % set(auto) -> set(auto_inference).
% 0.72/1.02 % set(auto) -> set(auto_setup).
% 0.72/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.72/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.72/1.02 % set(auto) -> set(auto_limits).
% 0.72/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.72/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.72/1.02 % set(auto) -> set(auto_denials).
% 0.72/1.02 % set(auto) -> set(auto_process).
% 0.72/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.72/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.72/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.72/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.72/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.72/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.72/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.72/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.72/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.72/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.72/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.72/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.72/1.02 % set(auto2) -> assign(stats, some).
% 0.72/1.02 % set(auto2) -> clear(echo_input).
% 0.72/1.02 % set(auto2) -> set(quiet).
% 0.72/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.72/1.02 % set(auto2) -> clear(print_given).
% 0.72/1.02 assign(lrs_ticks,-1).
% 0.72/1.02 assign(sos_limit,10000).
% 0.72/1.02 assign(order,kbo).
% 0.72/1.02 set(lex_order_vars).
% 0.72/1.02 clear(print_given).
% 0.72/1.02
% 0.72/1.02 % formulas(sos). % not echoed (21 formulas)
% 0.72/1.02
% 0.72/1.02 ============================== end of input ==========================
% 0.72/1.02
% 0.72/1.02 % From the command line: assign(max_seconds, 300).
% 0.72/1.02
% 0.72/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.72/1.02
% 0.72/1.02 % Formulas that are not ordinary clauses:
% 0.72/1.02
% 0.72/1.02 ============================== end of process non-clausal formulas ===
% 0.72/1.02
% 0.72/1.02 ============================== PROCESS INITIAL CLAUSES ===============
% 0.72/1.02
% 0.72/1.02 ============================== PREDICATE ELIMINATION =================
% 0.72/1.02
% 0.72/1.02 ============================== end predicate elimination =============
% 0.72/1.02
% 0.72/1.02 Auto_denials: (non-Horn, no changes).
% 0.72/1.02
% 0.72/1.02 Term ordering decisions:
% 0.72/1.02 Function symbol KB weights: u=1. x=1. w=1. lower_dimension_point_1=1. lower_dimension_point_2=1. lower_dimension_point_3=1. v=1. extension=1. euclid1=1. euclid2=1. inner_pasch=1. continuous=1.
% 0.72/1.02
% 0.72/1.02 ============================== end of process initial clauses ========
% 0.72/1.02
% 0.72/1.02 ============================== CLAUSES FOR SEARCH ====================
% 0.72/1.02
% 0.72/1.02 ============================== end of clauses for search =============
% 0.72/1.02
% 0.72/1.02 ============================== SEARCH ================================
% 0.72/1.02
% 0.72/1.02 % Starting search at 0.01 seconds.
% 0.72/1.02
% 0.72/1.02 ============================== PROOF =================================
% 0.72/1.02 % SZS status Unsatisfiable
% 0.72/1.02 % SZS output start Refutation
% 0.72/1.02
% 0.72/1.02 % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.72/1.02 % Length of proof is 15.
% 0.72/1.02 % Level of proof is 5.
% 0.72/1.02 % Maximum clause weight is 9.000.
% 0.72/1.02 % Given clauses 41.
% 0.72/1.02
% 0.72/1.02 1 u = x # label(u_is_x) # label(hypothesis). [assumption].
% 0.72/1.02 2 x = u. [copy(1),flip(a)].
% 0.72/1.02 3 between(u,w,x) # label(w_between_u_and_x) # label(hypothesis). [assumption].
% 0.72/1.02 4 between(u,w,u). [copy(3),rewrite([2(3)])].
% 0.72/1.02 6 between(A,B,extension(A,B,C,D)) # label(segment_construction1) # label(axiom). [assumption].
% 0.72/1.02 7 equidistant(A,extension(B,A,C,D),C,D) # label(segment_construction2) # label(axiom). [assumption].
% 0.72/1.02 11 -between(v,w,x) # label(prove_corollary) # label(negated_conjecture). [assumption].
% 0.72/1.02 12 -between(v,w,u). [copy(11),rewrite([2(3)])].
% 0.72/1.02 13 -between(A,B,A) | A = B # label(identity_for_betweeness) # label(axiom). [assumption].
% 0.72/1.02 14 -equidistant(A,B,C,C) | A = B # label(identity_for_equidistance) # label(axiom). [assumption].
% 0.72/1.02 42 w = u. [resolve(13,a,4,a),flip(a)].
% 0.72/1.02 43 -between(v,u,u). [back_rewrite(12),rewrite([42(2)])].
% 0.72/1.02 45 extension(A,B,C,C) = B. [resolve(14,a,7,a),flip(a)].
% 0.72/1.02 136 between(A,B,B). [para(45(a,1),6(a,3))].
% 0.72/1.02 137 $F. [resolve(136,a,43,a)].
% 0.72/1.02
% 0.72/1.02 % SZS output end Refutation
% 0.72/1.02 ============================== end of proof ==========================
% 0.72/1.02
% 0.72/1.02 ============================== STATISTICS ============================
% 0.72/1.02
% 0.72/1.02 Given=41. Generated=282. Kept=133. proofs=1.
% 0.72/1.02 Usable=38. Sos=78. Demods=3. Limbo=0, Disabled=37. Hints=0.
% 0.72/1.02 Megabytes=0.17.
% 0.72/1.02 User_CPU=0.04, System_CPU=0.00, Wall_clock=0.
% 0.72/1.02
% 0.72/1.02 ============================== end of statistics =====================
% 0.72/1.02
% 0.72/1.02 ============================== end of search =========================
% 0.72/1.02
% 0.72/1.02 THEOREM PROVED
% 0.72/1.02 % SZS status Unsatisfiable
% 0.72/1.02
% 0.72/1.02 Exiting with 1 proof.
% 0.72/1.02
% 0.72/1.02 Process 5035 exit (max_proofs) Sat Jun 18 05:37:55 2022
% 0.72/1.02 Prover9 interrupted
%------------------------------------------------------------------------------