TSTP Solution File: GEO040-3 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO040-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 14.67s 14.95s
% Output : Refutation 14.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GEO040-3 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.15 % Command : tptp2X_and_run_prover9 %d %s
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sat Jun 18 17:09:18 EDT 2022
% 0.15/0.37 % CPUTime :
% 14.67/14.95 ============================== Prover9 ===============================
% 14.67/14.95 Prover9 (32) version 2009-11A, November 2009.
% 14.67/14.95 Process 16510 was started by sandbox2 on n020.cluster.edu,
% 14.67/14.95 Sat Jun 18 17:09:19 2022
% 14.67/14.95 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_16356_n020.cluster.edu".
% 14.67/14.95 ============================== end of head ===========================
% 14.67/14.95
% 14.67/14.95 ============================== INPUT =================================
% 14.67/14.95
% 14.67/14.95 % Reading from file /tmp/Prover9_16356_n020.cluster.edu
% 14.67/14.95
% 14.67/14.95 set(prolog_style_variables).
% 14.67/14.95 set(auto2).
% 14.67/14.95 % set(auto2) -> set(auto).
% 14.67/14.95 % set(auto) -> set(auto_inference).
% 14.67/14.95 % set(auto) -> set(auto_setup).
% 14.67/14.95 % set(auto_setup) -> set(predicate_elim).
% 14.67/14.95 % set(auto_setup) -> assign(eq_defs, unfold).
% 14.67/14.95 % set(auto) -> set(auto_limits).
% 14.67/14.95 % set(auto_limits) -> assign(max_weight, "100.000").
% 14.67/14.95 % set(auto_limits) -> assign(sos_limit, 20000).
% 14.67/14.95 % set(auto) -> set(auto_denials).
% 14.67/14.95 % set(auto) -> set(auto_process).
% 14.67/14.95 % set(auto2) -> assign(new_constants, 1).
% 14.67/14.95 % set(auto2) -> assign(fold_denial_max, 3).
% 14.67/14.95 % set(auto2) -> assign(max_weight, "200.000").
% 14.67/14.95 % set(auto2) -> assign(max_hours, 1).
% 14.67/14.95 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 14.67/14.95 % set(auto2) -> assign(max_seconds, 0).
% 14.67/14.95 % set(auto2) -> assign(max_minutes, 5).
% 14.67/14.95 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 14.67/14.95 % set(auto2) -> set(sort_initial_sos).
% 14.67/14.95 % set(auto2) -> assign(sos_limit, -1).
% 14.67/14.95 % set(auto2) -> assign(lrs_ticks, 3000).
% 14.67/14.95 % set(auto2) -> assign(max_megs, 400).
% 14.67/14.95 % set(auto2) -> assign(stats, some).
% 14.67/14.95 % set(auto2) -> clear(echo_input).
% 14.67/14.95 % set(auto2) -> set(quiet).
% 14.67/14.95 % set(auto2) -> clear(print_initial_clauses).
% 14.67/14.95 % set(auto2) -> clear(print_given).
% 14.67/14.95 assign(lrs_ticks,-1).
% 14.67/14.95 assign(sos_limit,10000).
% 14.67/14.95 assign(order,kbo).
% 14.67/14.95 set(lex_order_vars).
% 14.67/14.95 clear(print_given).
% 14.67/14.95
% 14.67/14.95 % formulas(sos). % not echoed (50 formulas)
% 14.67/14.95
% 14.67/14.95 ============================== end of input ==========================
% 14.67/14.95
% 14.67/14.95 % From the command line: assign(max_seconds, 300).
% 14.67/14.95
% 14.67/14.95 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 14.67/14.95
% 14.67/14.95 % Formulas that are not ordinary clauses:
% 14.67/14.95
% 14.67/14.95 ============================== end of process non-clausal formulas ===
% 14.67/14.95
% 14.67/14.95 ============================== PROCESS INITIAL CLAUSES ===============
% 14.67/14.95
% 14.67/14.95 ============================== PREDICATE ELIMINATION =================
% 14.67/14.95
% 14.67/14.95 ============================== end predicate elimination =============
% 14.67/14.95
% 14.67/14.95 Auto_denials: (non-Horn, no changes).
% 14.67/14.95
% 14.67/14.95 Term ordering decisions:
% 14.67/14.95 Function symbol KB weights: u=1. v=1. w=1. lower_dimension_point_1=1. lower_dimension_point_2=1. lower_dimension_point_3=1. reflection=1. extension=1. euclid1=1. euclid2=1. inner_pasch=1. continuous=1.
% 14.67/14.95
% 14.67/14.95 ============================== end of process initial clauses ========
% 14.67/14.95
% 14.67/14.95 ============================== CLAUSES FOR SEARCH ====================
% 14.67/14.95
% 14.67/14.95 ============================== end of clauses for search =============
% 14.67/14.95
% 14.67/14.95 ============================== SEARCH ================================
% 14.67/14.95
% 14.67/14.95 % Starting search at 0.01 seconds.
% 14.67/14.95
% 14.67/14.95 ============================== PROOF =================================
% 14.67/14.95 % SZS status Unsatisfiable
% 14.67/14.95 % SZS output start Refutation
% 14.67/14.95
% 14.67/14.95 % Proof 1 at 13.83 (+ 0.01) seconds.
% 14.67/14.95 % Length of proof is 13.
% 14.67/14.95 % Level of proof is 4.
% 14.67/14.95 % Maximum clause weight is 17.000.
% 14.67/14.95 % Given clauses 282.
% 14.67/14.95
% 14.67/14.95 3 between(u,v,w) # label(v_between_u_and_w) # label(hypothesis). [assumption].
% 14.67/14.95 4 between(v,u,w) # label(u_between_v_and_w) # label(hypothesis). [assumption].
% 14.67/14.95 23 u != v # label(prove_u_is_v) # label(negated_conjecture). [assumption].
% 14.67/14.95 24 v != u. [copy(23),flip(a)].
% 14.67/14.95 28 -between(A,B,A) | A = B # label(identity_for_betweeness) # label(axiom). [assumption].
% 14.67/14.95 49 -between(A,B,C) | -between(D,E,C) | between(B,inner_pasch(A,B,C,E,D),D) # label(inner_pasch1) # label(axiom). [assumption].
% 14.67/14.95 50 -between(A,B,C) | -between(D,E,C) | between(E,inner_pasch(A,B,C,E,D),A) # label(inner_pasch2) # label(axiom). [assumption].
% 14.67/14.95 74 -between(v,u,v). [ur(28,b,24,a)].
% 14.67/14.95 120 -between(A,B,w) | between(u,inner_pasch(v,u,w,B,A),A). [resolve(49,a,4,a)].
% 14.67/14.95 130 -between(A,B,w) | between(B,inner_pasch(v,u,w,B,A),v). [resolve(50,a,4,a)].
% 14.67/14.95 1006 between(u,inner_pasch(v,u,w,v,u),u). [resolve(120,a,3,a)].
% 14.67/14.95 1023 inner_pasch(v,u,w,v,u) = u. [resolve(1006,a,28,a),flip(a)].
% 14.67/14.95 2194 $F. [resolve(130,a,3,a),rewrite([1023(7)]),unit_del(a,74)].
% 14.67/14.95
% 14.67/14.95 % SZS output end Refutation
% 14.67/14.95 ============================== end of proof ==========================
% 14.67/14.95
% 14.67/14.95 ============================== STATISTICS ============================
% 14.67/14.95
% 14.67/14.95 Given=282. Generated=9190. Kept=2183. proofs=1.
% 14.67/14.95 Usable=274. Sos=1758. Demods=25. Limbo=21, Disabled=180. Hints=0.
% 14.67/14.95 Megabytes=2.18.
% 14.67/14.95 User_CPU=13.83, System_CPU=0.01, Wall_clock=14.
% 14.67/14.95
% 14.67/14.95 ============================== end of statistics =====================
% 14.67/14.95
% 14.67/14.95 ============================== end of search =========================
% 14.67/14.95
% 14.67/14.95 THEOREM PROVED
% 14.67/14.95 % SZS status Unsatisfiable
% 14.67/14.95
% 14.67/14.95 Exiting with 1 proof.
% 14.67/14.95
% 14.67/14.95 Process 16510 exit (max_proofs) Sat Jun 18 17:09:33 2022
% 14.67/14.95 Prover9 interrupted
%------------------------------------------------------------------------------