TSTP Solution File: GEO036-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO036-2 : 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 05:53:26 EDT 2022
% Result : Unsatisfiable 0.55s 0.87s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO036-2 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.09 % Command : tptp2X_and_run_prover9 %d %s
% 0.09/0.29 % Computer : n011.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sat Jun 18 05:36:07 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.55/0.87 ============================== Prover9 ===============================
% 0.55/0.87 Prover9 (32) version 2009-11A, November 2009.
% 0.55/0.87 Process 11140 was started by sandbox on n011.cluster.edu,
% 0.55/0.87 Sat Jun 18 05:36:08 2022
% 0.55/0.87 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10798_n011.cluster.edu".
% 0.55/0.87 ============================== end of head ===========================
% 0.55/0.87
% 0.55/0.87 ============================== INPUT =================================
% 0.55/0.87
% 0.55/0.87 % Reading from file /tmp/Prover9_10798_n011.cluster.edu
% 0.55/0.87
% 0.55/0.87 set(prolog_style_variables).
% 0.55/0.87 set(auto2).
% 0.55/0.87 % set(auto2) -> set(auto).
% 0.55/0.87 % set(auto) -> set(auto_inference).
% 0.55/0.87 % set(auto) -> set(auto_setup).
% 0.55/0.87 % set(auto_setup) -> set(predicate_elim).
% 0.55/0.87 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.55/0.87 % set(auto) -> set(auto_limits).
% 0.55/0.87 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.55/0.87 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.55/0.87 % set(auto) -> set(auto_denials).
% 0.55/0.87 % set(auto) -> set(auto_process).
% 0.55/0.87 % set(auto2) -> assign(new_constants, 1).
% 0.55/0.87 % set(auto2) -> assign(fold_denial_max, 3).
% 0.55/0.87 % set(auto2) -> assign(max_weight, "200.000").
% 0.55/0.87 % set(auto2) -> assign(max_hours, 1).
% 0.55/0.87 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.55/0.87 % set(auto2) -> assign(max_seconds, 0).
% 0.55/0.87 % set(auto2) -> assign(max_minutes, 5).
% 0.55/0.87 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.55/0.87 % set(auto2) -> set(sort_initial_sos).
% 0.55/0.87 % set(auto2) -> assign(sos_limit, -1).
% 0.55/0.87 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.55/0.87 % set(auto2) -> assign(max_megs, 400).
% 0.55/0.87 % set(auto2) -> assign(stats, some).
% 0.55/0.87 % set(auto2) -> clear(echo_input).
% 0.55/0.87 % set(auto2) -> set(quiet).
% 0.55/0.87 % set(auto2) -> clear(print_initial_clauses).
% 0.55/0.87 % set(auto2) -> clear(print_given).
% 0.55/0.87 assign(lrs_ticks,-1).
% 0.55/0.87 assign(sos_limit,10000).
% 0.55/0.87 assign(order,kbo).
% 0.55/0.87 set(lex_order_vars).
% 0.55/0.87 clear(print_given).
% 0.55/0.87
% 0.55/0.87 % formulas(sos). % not echoed (19 formulas)
% 0.55/0.87
% 0.55/0.87 ============================== end of input ==========================
% 0.55/0.87
% 0.55/0.87 % From the command line: assign(max_seconds, 300).
% 0.55/0.87
% 0.55/0.87 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.55/0.87
% 0.55/0.87 % Formulas that are not ordinary clauses:
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% 0.55/0.87 ============================== end of process non-clausal formulas ===
% 0.55/0.87
% 0.55/0.87 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.55/0.87 ============================== PREDICATE ELIMINATION =================
% 0.55/0.87
% 0.55/0.87 ============================== end predicate elimination =============
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% 0.55/0.87 Auto_denials: (non-Horn, no changes).
% 0.55/0.87
% 0.55/0.87 Term ordering decisions:
% 0.55/0.87 Function symbol KB weights: 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.
% 0.55/0.87
% 0.55/0.87 ============================== end of process initial clauses ========
% 0.55/0.87
% 0.55/0.87 ============================== CLAUSES FOR SEARCH ====================
% 0.55/0.87
% 0.55/0.87 ============================== end of clauses for search =============
% 0.55/0.87
% 0.55/0.87 ============================== SEARCH ================================
% 0.55/0.87
% 0.55/0.87 % Starting search at 0.01 seconds.
% 0.55/0.87
% 0.55/0.87 ============================== PROOF =================================
% 0.55/0.87 % SZS status Unsatisfiable
% 0.55/0.87 % SZS output start Refutation
% 0.55/0.87
% 0.55/0.87 % Proof 1 at 0.05 (+ 0.00) seconds.
% 0.55/0.87 % Length of proof is 14.
% 0.55/0.87 % Level of proof is 5.
% 0.55/0.87 % Maximum clause weight is 10.000.
% 0.55/0.87 % Given clauses 41.
% 0.55/0.87
% 0.55/0.87 2 between(A,B,extension(A,B,C,D)) # label(segment_construction1) # label(axiom). [assumption].
% 0.55/0.87 3 equidistant(A,extension(B,A,C,D),C,D) # label(segment_construction2) # label(axiom). [assumption].
% 0.55/0.87 4 lower_dimension_point_1 = lower_dimension_point_2 | lower_dimension_point_2 = lower_dimension_point_3 | lower_dimension_point_1 = lower_dimension_point_3 # label(prove_axioms_points_are_distinct) # label(negated_conjecture). [assumption].
% 0.55/0.87 5 lower_dimension_point_2 = lower_dimension_point_1 | lower_dimension_point_3 = lower_dimension_point_2 | lower_dimension_point_3 = lower_dimension_point_1. [copy(4),flip(a),flip(b),flip(c)].
% 0.55/0.87 6 -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) # label(lower_dimension1) # label(axiom). [assumption].
% 0.55/0.87 7 -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) # label(lower_dimension2) # label(axiom). [assumption].
% 0.55/0.87 8 -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) # label(lower_dimension3) # label(axiom). [assumption].
% 0.55/0.87 10 -equidistant(A,B,C,C) | A = B # label(identity_for_equidistance) # label(axiom). [assumption].
% 0.55/0.87 38 lower_dimension_point_2 = lower_dimension_point_1 | lower_dimension_point_3 = lower_dimension_point_1 | -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2). [para(5(b,1),6(a,3))].
% 0.55/0.87 40 extension(A,B,C,C) = B. [resolve(10,a,3,a),flip(a)].
% 0.55/0.87 123 between(A,B,B). [para(40(a,1),2(a,3))].
% 0.55/0.87 131 lower_dimension_point_2 = lower_dimension_point_1 | lower_dimension_point_3 = lower_dimension_point_1. [back_unit_del(38),unit_del(c,123)].
% 0.55/0.87 162 lower_dimension_point_2 = lower_dimension_point_1. [para(131(b,1),7(a,2)),unit_del(b,123)].
% 0.55/0.87 163 $F. [back_rewrite(8),rewrite([162(3)]),unit_del(a,123)].
% 0.55/0.87
% 0.55/0.87 % SZS output end Refutation
% 0.55/0.87 ============================== end of proof ==========================
% 0.55/0.87
% 0.55/0.87 ============================== STATISTICS ============================
% 0.55/0.87
% 0.55/0.87 Given=41. Generated=330. Kept=161. proofs=1.
% 0.55/0.87 Usable=28. Sos=84. Demods=2. Limbo=1, Disabled=67. Hints=0.
% 0.55/0.87 Megabytes=0.16.
% 0.55/0.87 User_CPU=0.05, System_CPU=0.00, Wall_clock=0.
% 0.55/0.87
% 0.55/0.87 ============================== end of statistics =====================
% 0.55/0.87
% 0.55/0.87 ============================== end of search =========================
% 0.55/0.87
% 0.55/0.87 THEOREM PROVED
% 0.55/0.87 % SZS status Unsatisfiable
% 0.55/0.87
% 0.55/0.87 Exiting with 1 proof.
% 0.55/0.87
% 0.55/0.87 Process 11140 exit (max_proofs) Sat Jun 18 05:36:08 2022
% 0.55/0.87 Prover9 interrupted
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