TSTP Solution File: GEO006-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO006-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 05:53:08 EDT 2022
% Result : Unsatisfiable 2.53s 2.83s
% Output : Refutation 2.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO006-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 15:52:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.53/2.83 ============================== Prover9 ===============================
% 2.53/2.83 Prover9 (32) version 2009-11A, November 2009.
% 2.53/2.83 Process 15169 was started by sandbox2 on n025.cluster.edu,
% 2.53/2.83 Fri Jun 17 15:52:28 2022
% 2.53/2.83 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_15016_n025.cluster.edu".
% 2.53/2.83 ============================== end of head ===========================
% 2.53/2.83
% 2.53/2.83 ============================== INPUT =================================
% 2.53/2.83
% 2.53/2.83 % Reading from file /tmp/Prover9_15016_n025.cluster.edu
% 2.53/2.83
% 2.53/2.83 set(prolog_style_variables).
% 2.53/2.83 set(auto2).
% 2.53/2.83 % set(auto2) -> set(auto).
% 2.53/2.83 % set(auto) -> set(auto_inference).
% 2.53/2.83 % set(auto) -> set(auto_setup).
% 2.53/2.83 % set(auto_setup) -> set(predicate_elim).
% 2.53/2.83 % set(auto_setup) -> assign(eq_defs, unfold).
% 2.53/2.83 % set(auto) -> set(auto_limits).
% 2.53/2.83 % set(auto_limits) -> assign(max_weight, "100.000").
% 2.53/2.83 % set(auto_limits) -> assign(sos_limit, 20000).
% 2.53/2.83 % set(auto) -> set(auto_denials).
% 2.53/2.83 % set(auto) -> set(auto_process).
% 2.53/2.83 % set(auto2) -> assign(new_constants, 1).
% 2.53/2.83 % set(auto2) -> assign(fold_denial_max, 3).
% 2.53/2.83 % set(auto2) -> assign(max_weight, "200.000").
% 2.53/2.83 % set(auto2) -> assign(max_hours, 1).
% 2.53/2.83 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 2.53/2.83 % set(auto2) -> assign(max_seconds, 0).
% 2.53/2.83 % set(auto2) -> assign(max_minutes, 5).
% 2.53/2.83 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 2.53/2.83 % set(auto2) -> set(sort_initial_sos).
% 2.53/2.83 % set(auto2) -> assign(sos_limit, -1).
% 2.53/2.83 % set(auto2) -> assign(lrs_ticks, 3000).
% 2.53/2.83 % set(auto2) -> assign(max_megs, 400).
% 2.53/2.83 % set(auto2) -> assign(stats, some).
% 2.53/2.83 % set(auto2) -> clear(echo_input).
% 2.53/2.83 % set(auto2) -> set(quiet).
% 2.53/2.83 % set(auto2) -> clear(print_initial_clauses).
% 2.53/2.83 % set(auto2) -> clear(print_given).
% 2.53/2.83 assign(lrs_ticks,-1).
% 2.53/2.83 assign(sos_limit,10000).
% 2.53/2.83 assign(order,kbo).
% 2.53/2.83 set(lex_order_vars).
% 2.53/2.83 clear(print_given).
% 2.53/2.83
% 2.53/2.83 % formulas(sos). % not echoed (25 formulas)
% 2.53/2.83
% 2.53/2.83 ============================== end of input ==========================
% 2.53/2.83
% 2.53/2.83 % From the command line: assign(max_seconds, 300).
% 2.53/2.83
% 2.53/2.83 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 2.53/2.83
% 2.53/2.83 % Formulas that are not ordinary clauses:
% 2.53/2.83
% 2.53/2.83 ============================== end of process non-clausal formulas ===
% 2.53/2.83
% 2.53/2.83 ============================== PROCESS INITIAL CLAUSES ===============
% 2.53/2.83
% 2.53/2.83 ============================== PREDICATE ELIMINATION =================
% 2.53/2.83
% 2.53/2.83 ============================== end predicate elimination =============
% 2.53/2.83
% 2.53/2.83 Auto_denials: (non-Horn, no changes).
% 2.53/2.83
% 2.53/2.83 Term ordering decisions:
% 2.53/2.83 Function symbol KB weights: a=1. c=1. d=1. lower_dimension_point_1=1. lower_dimension_point_2=1. lower_dimension_point_3=1. extension=1. euclid1=1. euclid2=1. outer_pasch=1. continuous=1.
% 2.53/2.83
% 2.53/2.83 ============================== end of process initial clauses ========
% 2.53/2.83
% 2.53/2.83 ============================== CLAUSES FOR SEARCH ====================
% 2.53/2.83
% 2.53/2.83 ============================== end of clauses for search =============
% 2.53/2.83
% 2.53/2.83 ============================== SEARCH ================================
% 2.53/2.83
% 2.53/2.83 % Starting search at 0.02 seconds.
% 2.53/2.83
% 2.53/2.83 ============================== PROOF =================================
% 2.53/2.83 % SZS status Unsatisfiable
% 2.53/2.83 % SZS output start Refutation
% 2.53/2.83
% 2.53/2.83 % Proof 1 at 1.80 (+ 0.00) seconds.
% 2.53/2.83 % Length of proof is 32.
% 2.53/2.83 % Level of proof is 8.
% 2.53/2.83 % Maximum clause weight is 17.000.
% 2.53/2.83 % Given clauses 262.
% 2.53/2.83
% 2.53/2.83 1 between(a,c,d) # label(c_between_a_and_d) # label(hypothesis). [assumption].
% 2.53/2.83 3 between(A,B,extension(A,B,C,D)) # label(segment_construction1) # label(axiom). [assumption].
% 2.53/2.83 4 between(c,a,d) | between(a,d,c) # label(prove_not_between_others) # label(negated_conjecture). [assumption].
% 2.53/2.83 5 equidistant(A,extension(B,A,C,D),C,D) # label(segment_construction2) # label(axiom). [assumption].
% 2.53/2.83 6 a != c # label(a_not_c) # label(hypothesis). [assumption].
% 2.53/2.83 7 c != a. [copy(6),flip(a)].
% 2.53/2.83 10 c != d # label(c_not_d) # label(hypothesis). [assumption].
% 2.53/2.83 11 d != c. [copy(10),flip(a)].
% 2.53/2.83 15 -between(A,B,A) | A = B # label(identity_for_betweeness) # label(axiom). [assumption].
% 2.53/2.83 16 -equidistant(A,B,C,C) | A = B # label(identity_for_equidistance) # label(axiom). [assumption].
% 2.53/2.83 17 -between(A,B,C) | -between(B,D,C) | between(A,B,D) # label(transitivity_for_betweeness) # label(axiom). [assumption].
% 2.53/2.83 19 -between(A,B,C) | -between(D,C,E) | between(A,outer_pasch(B,A,D,E,C),D) # label(outer_pasch1) # label(axiom). [assumption].
% 2.53/2.83 20 -between(A,B,C) | -between(D,C,E) | between(E,B,outer_pasch(B,A,D,E,C)) # label(outer_pasch2) # label(axiom). [assumption].
% 2.53/2.83 49 -between(d,c,d). [ur(15,b,11,a)].
% 2.53/2.83 51 -between(c,a,c). [ur(15,b,7,a)].
% 2.53/2.83 55 extension(A,B,C,C) = B. [resolve(16,a,5,a),flip(a)].
% 2.53/2.83 80 -between(A,d,B) | between(a,outer_pasch(c,a,A,B,d),A). [resolve(19,a,1,a)].
% 2.53/2.83 86 -between(A,d,B) | between(B,c,outer_pasch(c,a,A,B,d)). [resolve(20,a,1,a)].
% 2.53/2.83 181 -between(c,a,d). [ur(17,b,1,a,c,51,a)].
% 2.53/2.83 183 between(a,d,c). [back_unit_del(4),unit_del(a,181)].
% 2.53/2.83 221 -between(A,B,d) | between(c,B,outer_pasch(B,A,a,c,d)). [resolve(183,a,20,b)].
% 2.53/2.83 223 -between(A,B,d) | between(A,outer_pasch(B,A,a,c,d),a). [resolve(183,a,19,b)].
% 2.53/2.83 269 between(A,B,B). [para(55(a,1),3(a,3))].
% 2.53/2.83 649 between(a,outer_pasch(c,a,A,d,d),A). [resolve(80,a,269,a)].
% 2.53/2.83 696 outer_pasch(c,a,a,d,d) = a. [resolve(649,a,15,a),flip(a)].
% 2.53/2.83 813 between(d,c,outer_pasch(c,a,A,d,d)). [resolve(86,a,269,a)].
% 2.53/2.83 887 between(d,c,a). [para(696(a,1),813(a,3))].
% 2.53/2.83 929 -between(c,A,a) | between(d,c,A). [resolve(887,a,17,a)].
% 2.53/2.83 1806 between(c,d,outer_pasch(d,A,a,c,d)). [resolve(221,a,269,a)].
% 2.53/2.83 1885 -between(d,c,outer_pasch(d,A,a,c,d)). [ur(17,b,1806,a,c,49,a)].
% 2.53/2.83 2197 between(A,outer_pasch(d,A,a,c,d),a). [resolve(223,a,269,a)].
% 2.53/2.83 2281 $F. [resolve(2197,a,929,a),unit_del(a,1885)].
% 2.53/2.83
% 2.53/2.83 % SZS output end Refutation
% 2.53/2.83 ============================== end of proof ==========================
% 2.53/2.83
% 2.53/2.83 ============================== STATISTICS ============================
% 2.53/2.83
% 2.53/2.83 Given=262. Generated=4491. Kept=2277. proofs=1.
% 2.53/2.83 Usable=235. Sos=1731. Demods=9. Limbo=0, Disabled=336. Hints=0.
% 2.53/2.83 Megabytes=2.38.
% 2.53/2.83 User_CPU=1.80, System_CPU=0.00, Wall_clock=2.
% 2.53/2.83
% 2.53/2.83 ============================== end of statistics =====================
% 2.53/2.83
% 2.53/2.83 ============================== end of search =========================
% 2.53/2.83
% 2.53/2.83 THEOREM PROVED
% 2.53/2.83 % SZS status Unsatisfiable
% 2.53/2.83
% 2.53/2.83 Exiting with 1 proof.
% 2.53/2.83
% 2.53/2.83 Process 15169 exit (max_proofs) Fri Jun 17 15:52:30 2022
% 2.53/2.83 Prover9 interrupted
%------------------------------------------------------------------------------