TSTP Solution File: GEO043-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO043-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n016.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 05:53:30 EDT 2022
% Result : Unsatisfiable 3.90s 4.18s
% Output : Refutation 3.90s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO043-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 18 16:36:37 EDT 2022
% 0.15/0.36 % CPUTime :
% 3.90/4.18 ============================== Prover9 ===============================
% 3.90/4.18 Prover9 (32) version 2009-11A, November 2009.
% 3.90/4.18 Process 28628 was started by sandbox on n016.cluster.edu,
% 3.90/4.18 Sat Jun 18 16:36:38 2022
% 3.90/4.18 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_28475_n016.cluster.edu".
% 3.90/4.18 ============================== end of head ===========================
% 3.90/4.18
% 3.90/4.18 ============================== INPUT =================================
% 3.90/4.18
% 3.90/4.18 % Reading from file /tmp/Prover9_28475_n016.cluster.edu
% 3.90/4.18
% 3.90/4.18 set(prolog_style_variables).
% 3.90/4.18 set(auto2).
% 3.90/4.18 % set(auto2) -> set(auto).
% 3.90/4.18 % set(auto) -> set(auto_inference).
% 3.90/4.18 % set(auto) -> set(auto_setup).
% 3.90/4.18 % set(auto_setup) -> set(predicate_elim).
% 3.90/4.18 % set(auto_setup) -> assign(eq_defs, unfold).
% 3.90/4.18 % set(auto) -> set(auto_limits).
% 3.90/4.18 % set(auto_limits) -> assign(max_weight, "100.000").
% 3.90/4.18 % set(auto_limits) -> assign(sos_limit, 20000).
% 3.90/4.18 % set(auto) -> set(auto_denials).
% 3.90/4.18 % set(auto) -> set(auto_process).
% 3.90/4.18 % set(auto2) -> assign(new_constants, 1).
% 3.90/4.18 % set(auto2) -> assign(fold_denial_max, 3).
% 3.90/4.18 % set(auto2) -> assign(max_weight, "200.000").
% 3.90/4.18 % set(auto2) -> assign(max_hours, 1).
% 3.90/4.18 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 3.90/4.18 % set(auto2) -> assign(max_seconds, 0).
% 3.90/4.18 % set(auto2) -> assign(max_minutes, 5).
% 3.90/4.18 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 3.90/4.18 % set(auto2) -> set(sort_initial_sos).
% 3.90/4.18 % set(auto2) -> assign(sos_limit, -1).
% 3.90/4.18 % set(auto2) -> assign(lrs_ticks, 3000).
% 3.90/4.18 % set(auto2) -> assign(max_megs, 400).
% 3.90/4.18 % set(auto2) -> assign(stats, some).
% 3.90/4.18 % set(auto2) -> clear(echo_input).
% 3.90/4.18 % set(auto2) -> set(quiet).
% 3.90/4.18 % set(auto2) -> clear(print_initial_clauses).
% 3.90/4.18 % set(auto2) -> clear(print_given).
% 3.90/4.18 assign(lrs_ticks,-1).
% 3.90/4.18 assign(sos_limit,10000).
% 3.90/4.18 assign(order,kbo).
% 3.90/4.18 set(lex_order_vars).
% 3.90/4.18 clear(print_given).
% 3.90/4.18
% 3.90/4.18 % formulas(sos). % not echoed (21 formulas)
% 3.90/4.18
% 3.90/4.18 ============================== end of input ==========================
% 3.90/4.18
% 3.90/4.18 % From the command line: assign(max_seconds, 300).
% 3.90/4.18
% 3.90/4.18 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 3.90/4.18
% 3.90/4.18 % Formulas that are not ordinary clauses:
% 3.90/4.18
% 3.90/4.18 ============================== end of process non-clausal formulas ===
% 3.90/4.18
% 3.90/4.18 ============================== PROCESS INITIAL CLAUSES ===============
% 3.90/4.18
% 3.90/4.18 ============================== PREDICATE ELIMINATION =================
% 3.90/4.18
% 3.90/4.18 ============================== end predicate elimination =============
% 3.90/4.18
% 3.90/4.18 Auto_denials: (non-Horn, no changes).
% 3.90/4.18
% 3.90/4.18 Term ordering decisions:
% 3.90/4.18 Function symbol KB weights: u=1. w=1. v=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.
% 3.90/4.18
% 3.90/4.18 ============================== end of process initial clauses ========
% 3.90/4.18
% 3.90/4.18 ============================== CLAUSES FOR SEARCH ====================
% 3.90/4.18
% 3.90/4.18 ============================== end of clauses for search =============
% 3.90/4.18
% 3.90/4.18 ============================== SEARCH ================================
% 3.90/4.18
% 3.90/4.18 % Starting search at 0.01 seconds.
% 3.90/4.18
% 3.90/4.18 ============================== PROOF =================================
% 3.90/4.18 % SZS status Unsatisfiable
% 3.90/4.18 % SZS output start Refutation
% 3.90/4.18
% 3.90/4.18 % Proof 1 at 3.14 (+ 0.01) seconds.
% 3.90/4.18 % Length of proof is 28.
% 3.90/4.18 % Level of proof is 9.
% 3.90/4.18 % Maximum clause weight is 17.000.
% 3.90/4.18 % Given clauses 200.
% 3.90/4.18
% 3.90/4.18 1 between(u,v,w) # label(v_between_u_and_w) # label(hypothesis). [assumption].
% 3.90/4.18 2 between(u,w,x) # label(w_between_u_and_x) # label(hypothesis). [assumption].
% 3.90/4.18 4 between(A,B,extension(A,B,C,D)) # label(segment_construction1) # label(axiom). [assumption].
% 3.90/4.18 5 equidistant(A,extension(B,A,C,D),C,D) # label(segment_construction2) # label(axiom). [assumption].
% 3.90/4.18 9 -between(v,w,x) # label(prove_w_between_v_and_x) # label(negated_conjecture). [assumption].
% 3.90/4.18 10 -between(A,B,A) | A = B # label(identity_for_betweeness) # label(axiom). [assumption].
% 3.90/4.18 11 -equidistant(A,B,C,C) | A = B # label(identity_for_equidistance) # label(axiom). [assumption].
% 3.90/4.18 13 -between(A,B,C) | -between(D,E,C) | between(B,inner_pasch(A,B,C,E,D),D) # label(inner_pasch1) # label(axiom). [assumption].
% 3.90/4.18 14 -between(A,B,C) | -between(D,E,C) | between(E,inner_pasch(A,B,C,E,D),A) # label(inner_pasch2) # label(axiom). [assumption].
% 3.90/4.18 39 extension(A,B,C,C) = B. [resolve(11,a,5,a),flip(a)].
% 3.90/4.18 45 -between(A,B,x) | between(w,inner_pasch(u,w,x,B,A),A). [resolve(13,a,2,a)].
% 3.90/4.18 46 -between(A,B,w) | between(v,inner_pasch(u,v,w,B,A),A). [resolve(13,a,1,a)].
% 3.90/4.18 51 -between(A,B,x) | between(B,inner_pasch(u,w,x,B,A),u). [resolve(14,a,2,a)].
% 3.90/4.18 52 -between(A,B,w) | between(B,inner_pasch(u,v,w,B,A),u). [resolve(14,a,1,a)].
% 3.90/4.18 135 between(A,B,B). [para(39(a,1),4(a,3))].
% 3.90/4.18 331 between(w,inner_pasch(u,w,x,x,A),A). [resolve(45,a,135,a)].
% 3.90/4.18 348 inner_pasch(u,w,x,x,w) = w. [resolve(331,a,10,a),flip(a)].
% 3.90/4.18 367 between(v,inner_pasch(u,v,w,w,A),A). [resolve(46,a,135,a)].
% 3.90/4.18 385 inner_pasch(u,v,w,w,v) = v. [resolve(367,a,10,a),flip(a)].
% 3.90/4.18 482 between(x,inner_pasch(u,w,x,x,A),u). [resolve(51,a,135,a)].
% 3.90/4.18 497 between(x,w,u). [para(348(a,1),482(a,2))].
% 3.90/4.18 508 -between(A,B,u) | between(w,inner_pasch(A,B,u,w,x),A). [resolve(497,a,14,b)].
% 3.90/4.18 510 -between(A,B,u) | between(B,inner_pasch(A,B,u,w,x),x). [resolve(497,a,13,b)].
% 3.90/4.18 561 between(w,inner_pasch(u,v,w,w,A),u). [resolve(52,a,135,a)].
% 3.90/4.18 580 between(w,v,u). [para(385(a,1),561(a,2))].
% 3.90/4.18 2402 between(w,inner_pasch(w,v,u,w,x),w). [resolve(508,a,580,a)].
% 3.90/4.18 2484 inner_pasch(w,v,u,w,x) = w. [resolve(2402,a,10,a),flip(a)].
% 3.90/4.18 2594 $F. [resolve(510,a,580,a),rewrite([2484(7)]),unit_del(a,9)].
% 3.90/4.18
% 3.90/4.18 % SZS output end Refutation
% 3.90/4.18 ============================== end of proof ==========================
% 3.90/4.18
% 3.90/4.18 ============================== STATISTICS ============================
% 3.90/4.18
% 3.90/4.18 Given=200. Generated=3417. Kept=2593. proofs=1.
% 3.90/4.18 Usable=177. Sos=2075. Demods=26. Limbo=17, Disabled=345. Hints=0.
% 3.90/4.18 Megabytes=2.94.
% 3.90/4.18 User_CPU=3.14, System_CPU=0.01, Wall_clock=3.
% 3.90/4.18
% 3.90/4.18 ============================== end of statistics =====================
% 3.90/4.18
% 3.90/4.18 ============================== end of search =========================
% 3.90/4.18
% 3.90/4.18 THEOREM PROVED
% 3.90/4.18 % SZS status Unsatisfiable
% 3.90/4.18
% 3.90/4.18 Exiting with 1 proof.
% 3.90/4.18
% 3.90/4.18 Process 28628 exit (max_proofs) Sat Jun 18 16:36:41 2022
% 3.90/4.18 Prover9 interrupted
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