TSTP Solution File: GEO122-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO122-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 05:54:10 EDT 2022
% Result : Timeout 300.01s 300.33s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO122-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.10 % Command : tptp2X_and_run_prover9 %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Sat Jun 18 17:15:02 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.48/0.81 ============================== Prover9 ===============================
% 0.48/0.81 Prover9 (32) version 2009-11A, November 2009.
% 0.48/0.81 Process 30555 was started by sandbox2 on n032.cluster.edu,
% 0.48/0.81 Sat Jun 18 17:15:02 2022
% 0.48/0.81 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_30402_n032.cluster.edu".
% 0.48/0.81 ============================== end of head ===========================
% 0.48/0.81
% 0.48/0.81 ============================== INPUT =================================
% 0.48/0.81
% 0.48/0.81 % Reading from file /tmp/Prover9_30402_n032.cluster.edu
% 0.48/0.81
% 0.48/0.81 set(prolog_style_variables).
% 0.48/0.81 set(auto2).
% 0.48/0.81 % set(auto2) -> set(auto).
% 0.48/0.81 % set(auto) -> set(auto_inference).
% 0.48/0.81 % set(auto) -> set(auto_setup).
% 0.48/0.81 % set(auto_setup) -> set(predicate_elim).
% 0.48/0.81 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.48/0.81 % set(auto) -> set(auto_limits).
% 0.48/0.81 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.48/0.81 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.48/0.81 % set(auto) -> set(auto_denials).
% 0.48/0.81 % set(auto) -> set(auto_process).
% 0.48/0.81 % set(auto2) -> assign(new_constants, 1).
% 0.48/0.81 % set(auto2) -> assign(fold_denial_max, 3).
% 0.48/0.81 % set(auto2) -> assign(max_weight, "200.000").
% 0.48/0.81 % set(auto2) -> assign(max_hours, 1).
% 0.48/0.81 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.48/0.81 % set(auto2) -> assign(max_seconds, 0).
% 0.48/0.81 % set(auto2) -> assign(max_minutes, 5).
% 0.48/0.81 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.48/0.81 % set(auto2) -> set(sort_initial_sos).
% 0.48/0.81 % set(auto2) -> assign(sos_limit, -1).
% 0.48/0.81 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.48/0.81 % set(auto2) -> assign(max_megs, 400).
% 0.48/0.81 % set(auto2) -> assign(stats, some).
% 0.48/0.81 % set(auto2) -> clear(echo_input).
% 0.48/0.81 % set(auto2) -> set(quiet).
% 0.48/0.81 % set(auto2) -> clear(print_initial_clauses).
% 0.48/0.81 % set(auto2) -> clear(print_given).
% 0.48/0.81 assign(lrs_ticks,-1).
% 0.48/0.81 assign(sos_limit,10000).
% 0.48/0.81 assign(order,kbo).
% 0.48/0.81 set(lex_order_vars).
% 0.48/0.81 clear(print_given).
% 0.48/0.81
% 0.48/0.81 % formulas(sos). % not echoed (97 formulas)
% 0.48/0.81
% 0.48/0.81 ============================== end of input ==========================
% 0.48/0.81
% 0.48/0.81 % From the command line: assign(max_seconds, 300).
% 0.48/0.81
% 0.48/0.81 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.48/0.81
% 0.48/0.81 % Formulas that are not ordinary clauses:
% 0.48/0.81
% 0.48/0.81 ============================== end of process non-clausal formulas ===
% 0.48/0.81
% 0.48/0.81 ============================== PROCESS INITIAL CLAUSES ===============
% 0.48/0.81
% 0.48/0.81 ============================== PREDICATE ELIMINATION =================
% 0.48/0.81 1 -open(A) | end_point(ax0_sk7(A),A) # label(open_defn_33) # label(axiom). [assumption].
% 0.48/0.81 2 open(ax2_sk3(A)) # label(o2_19) # label(axiom). [assumption].
% 0.48/0.81 3 -end_point(A,B) | open(B) # label(open_defn_34) # label(axiom). [assumption].
% 0.48/0.81 Derived: end_point(ax0_sk7(ax2_sk3(A)),ax2_sk3(A)). [resolve(1,a,2,a)].
% 0.48/0.81 Derived: end_point(ax0_sk7(A),A) | -end_point(B,A). [resolve(1,a,3,b)].
% 0.48/0.81 4 -part_of(A,B) | A = B | open(A) # label(c1_35) # label(axiom). [assumption].
% 0.48/0.81 Derived: -part_of(A,B) | A = B | end_point(ax0_sk7(A),A). [resolve(4,c,1,a)].
% 0.48/0.81 5 -open(A) | B = C | -incident_c(B,A) | -incident_c(C,A) | ordered_by(ax2_sk7(A,C,B),B,C) # label(o5_32) # label(axiom). [assumption].
% 0.48/0.81 Derived: A = B | -incident_c(A,ax2_sk3(C)) | -incident_c(B,ax2_sk3(C)) | ordered_by(ax2_sk7(ax2_sk3(C),B,A),A,B). [resolve(5,a,2,a)].
% 0.48/0.81 Derived: A = B | -incident_c(A,C) | -incident_c(B,C) | ordered_by(ax2_sk7(C,B,A),A,B) | -end_point(D,C). [resolve(5,a,3,b)].
% 0.48/0.81 Derived: A = B | -incident_c(A,C) | -incident_c(B,C) | ordered_by(ax2_sk7(C,B,A),A,B) | -part_of(C,D) | C = D. [resolve(5,a,4,c)].
% 0.48/0.81 6 -open(A) | B = C | -incident_c(B,A) | -incident_c(C,A) | -incident_o(D,ax2_sk7(A,C,B)) | incident_c(D,A) # label(o5_30) # label(axiom). [assumption].
% 0.48/0.81 Derived: A = B | -incident_c(A,ax2_sk3(C)) | -incident_c(B,ax2_sk3(C)) | -incident_o(D,ax2_sk7(ax2_sk3(C),B,A)) | incident_c(D,ax2_sk3(C)). [resolve(6,a,2,a)].
% 0.48/0.81 Derived: A = B | -incident_c(A,C) | -incident_c(B,C) | -incident_o(D,ax2_sk7(C,B,A)) | incident_c(D,C) | -end_point(E,C). [resolve(6,a,3,b)].
% 0.48/0.81 Derived: A = B | -incident_c(A,C) | -incident_c(B,C) | -incident_o(D,ax2_sk7(C,B,A)) | incident_c(D,C) | -part_of(C,E) | C = E. [resolve(6,a,4,c)].
% 0.48/0.81 7 -open(A) | B = C | -incident_c(B,A) | -incident_c(C,A) | -incident_c(D,A) | incident_o(D,ax2_sk7(A,C,B)) # label(o5_31) # label(axiom). [assumption].
% 0.48/0.82 Derived: A = B | -incident_c(A,ax2_sk3(C)) | -incident_c(B,ax2_sk3(C)) | -incident_c(D,ax2_sk3(C)) | incident_o(D,ax2_sk7(ax2_sk3(C),B,A)). [resolve(7,a,2,a)].
% 0.48/0.82 Derived: A = B | -incident_c(A,C) | -incident_c(B,C) | -incident_c(D,C) | incident_o(D,ax2_sk7(C,B,A)) | -end_point(E,C). [resolve(7,a,3,b)].
% 0.48/0.82 Derived: A = B | -incident_c(A,C) | -incident_c(B,C) | -incident_c(D,C) | incident_o(D,ax2_sk7(C,B,A)) | -part_of(C,E) | C = E. [resolve(7,a,4,c)].
% 0.48/0.82 8 -inner_point(A,B) | -end_point(A,B) # label(inner_point_defn_22) # label(axiom). [assumption].
% 0.48/0.82 9 inner_point(ax0_sk8(A),A) # label(c3_37) # label(axiom). [assumption].
% 0.48/0.82 Derived: -end_point(ax0_sk8(A),A). [resolve(8,a,9,a)].
% 0.48/0.82 10 -inner_point(A,B) | incident_c(A,B) # label(inner_point_defn_21) # label(axiom). [assumption].
% 0.48/0.82 Derived: incident_c(ax0_sk8(A),A). [resolve(10,a,9,a)].
% 0.48/0.82 11 -incident_c(A,B) | end_point(A,B) | inner_point(A,B) # label(inner_point_defn_23) # label(axiom). [assumption].
% 0.48/0.82 12 -inner_point(A,B) | meet(A,ax0_sk9(A,B),ax0_sk10(A,B)) # label(c4_38) # label(axiom). [assumption].
% 0.48/0.82 Derived: meet(ax0_sk8(A),ax0_sk9(ax0_sk8(A),A),ax0_sk10(ax0_sk8(A),A)). [resolve(12,a,9,a)].
% 0.48/0.82 Derived: meet(A,ax0_sk9(A,B),ax0_sk10(A,B)) | -incident_c(A,B) | end_point(A,B). [resolve(12,a,11,c)].
% 0.48/0.82 13 -inner_point(A,B) | B = sum(ax0_sk9(A,B),ax0_sk10(A,B)) # label(c4_39) # label(axiom). [assumption].
% 0.48/0.82 Derived: A = sum(ax0_sk9(ax0_sk8(A),A),ax0_sk10(ax0_sk8(A),A)). [resolve(13,a,9,a)].
% 0.48/0.82 Derived: A = sum(ax0_sk9(B,A),ax0_sk10(B,A)) | -incident_c(B,A) | end_point(B,A). [resolve(13,a,11,c)].
% 0.48/0.82 14 -between_c(A,B,C,D) | inner_point(C,ax1_sk1(D,C,B,A)) # label(between_c_defn_5) # label(axiom). [assumption].
% 0.48/0.82 Derived: -between_c(A,B,C,D) | -end_point(C,ax1_sk1(D,C,B,A)). [resolve(14,b,8,a)].
% 0.48/0.82 Derived: -between_c(A,B,C,D) | incident_c(C,ax1_sk1(D,C,B,A)). [resolve(14,b,10,a)].
% 0.48/0.82 Derived: -between_c(A,B,C,D) | meet(C,ax0_sk9(C,ax1_sk1(D,C,B,A)),ax0_sk10(C,ax1_sk1(D,C,B,A))). [resolve(14,b,12,a)].
% 0.48/0.82 Derived: -between_c(A,B,C,D) | ax1_sk1(D,C,B,A) = sum(ax0_sk9(C,ax1_sk1(D,C,B,A)),ax0_sk10(C,ax1_sk1(D,C,B,A))). [resolve(14,b,13,a)].
% 0.48/0.82 15 A = B | -part_of(C,D) | -end_point(A,C) | -end_point(B,C) | -inner_point(E,C) | between_c(D,A,E,B) # label(between_c_defn_6) # label(axiom). [assumption].
% 0.48/0.82 Derived: A = B | -part_of(C,D) | -end_point(A,C) | -end_point(B,C) | between_c(D,A,ax0_sk8(C),B). [resolve(15,e,9,a)].
% 0.48/0.82 Derived: A = B | -part_of(C,D) | -end_point(A,C) | -end_point(B,C) | between_c(D,A,E,B) | -incident_c(E,C) | end_point(E,C). [resolve(15,e,11,c)].
% 0.48/0.82 Derived: A = B | -part_of(ax1_sk1(C,D,E,F),V6) | -end_point(A,ax1_sk1(C,D,E,F)) | -end_point(B,ax1_sk1(C,D,E,F)) | between_c(V6,A,D,B) | -between_c(F,E,D,C). [resolve(15,e,14,b)].
% 0.48/0.82 16 -start_point(A,B) | incident_o(A,B) # label(start_point_defn_7) # label(axiom). [assumption].
% 0.48/0.82 17 start_point(ax2_sk6(A),A) # label(o4_29) # label(axiom). [assumption].
% 0.48/0.82 Derived: incident_o(ax2_sk6(A),A). [resolve(16,a,17,a)].
% 0.48/0.82 18 -incident_o(A,B) | A != ax2_sk1(B,A) | start_point(A,B) # label(start_point_defn_9) # label(axiom). [assumption].
% 0.48/0.82 19 -incident_o(A,B) | incident_o(ax2_sk1(B,A),B) | start_point(A,B) # label(start_point_defn_10) # label(axiom). [assumption].
% 0.48/0.82 20 -incident_o(A,B) | -ordered_by(B,A,ax2_sk1(B,A)) | start_point(A,B) # label(start_point_defn_11) # label(axiom). [assumption].
% 0.48/0.82 21 -start_point(A,B) | A = C | -incident_o(C,B) | ordered_by(B,A,C) # label(start_point_defn_8) # label(axiom). [assumption].
% 0.48/0.82 Derived: ax2_sk6(A) = B | -incident_o(B,A) | ordered_by(A,ax2_sk6(A),B). [resolve(21,a,17,a)].
% 0.48/0.82 Derived: A = B | -incident_o(B,C) | ordered_by(C,A,B) | -incident_o(A,C) | A != ax2_sk1(C,A). [resolve(21,a,18,c)].
% 0.48/0.82 Derived: A = B | -incident_o(B,C) | ordered_by(C,A,B) | -incident_o(A,C) | incident_o(ax2_sk1(C,A),C). [resolve(21,a,19,c)].
% 0.48/0.82 Derived: A = B | -incident_o(B,C) | ordered_by(C,A,B) | -incident_o(A,C) | -ordered_by(C,A,ax2_sk1(C,A)). [resolve(21,a,20,c)].
% 0.48/0.82 22 -closed(A) | -end_point(B,A) # label(closed_defn_31) # label(axiom). [assumption].
% 0.48/0.82 23 end_point(ax0_sk6(A),A) | closed(A) # label(closed_defn_32) # label(axiom). [assumption].
% 0.48/0.82 Derived: -end_point(A,B) | end_point(ax0_sk6(B),B). [resolve(22,a,23,b)].
% 0.48/0.82 24 -closed(A) | -meet(B,C,D) | A != sum(C,D) | -end_point(E,C) | meet(E,C,D) # label(c7_43) # label(axiom). [assumption].
% 0.48/0.82 Derived: -meet(A,B,C) | D != sum(B,C) | -end_point(E,B) | meet(E,B,C) | end_point(ax0_sk6(D),D). [resolve(24,a,23,b)].
% 0.48/0.82 25 -ordered_by(A,B,C) | -ordered_by(A,C,D) | between_o(A,B,C,D) # label(between_o_defn_5) # label(axiom). [assumption].
% 0.48/0.82 26 -between_o(A,B,C,D) | ordered_by(A,B,C) | ordered_by(A,D,C) # label(between_o_defn_1) # label(axiom). [assumption].
% 0.48/0.82 27 -between_o(A,B,C,D) | ordered_by(A,B,C) | ordered_by(A,C,B) # label(between_o_defn_2) # label(axiom). [assumption].
% 0.48/0.82 28 -between_o(A,B,C,D) | ordered_by(A,C,D) | ordered_by(A,D,C) # label(between_o_defn_3) # label(axiom). [assumption].
% 0.48/0.82 29 -between_o(A,B,C,D) | ordered_by(A,C,D) | ordered_by(A,C,B) # label(between_o_defn_4) # label(axiom). [assumption].
% 0.48/0.82 30 -ordered_by(A,B,C) | -ordered_by(A,C,D) | between_o(A,D,C,B) # label(between_o_defn_6) # label(axiom). [assumption].
% 0.48/0.82 31 -between_o(A,B,C,D) | between_c(ax2_sk4(A,D,C,B),B,C,D) # label(o3_24) # label(axiom). [assumption].
% 0.48/0.82 Derived: between_c(ax2_sk4(A,B,C,D),D,C,B) | -ordered_by(A,D,C) | -ordered_by(A,C,B). [resolve(31,a,25,c)].
% 0.48/0.82 Derived: between_c(ax2_sk4(A,B,C,D),D,C,B) | -ordered_by(A,B,C) | -ordered_by(A,C,D). [resolve(31,a,30,c)].
% 0.48/0.82 32 -between_o(A,B,C,D) | -incident_o(E,A) | incident_c(E,ax2_sk4(A,D,C,B)) # label(o3_22) # label(axiom). [assumption].
% 0.48/0.82 Derived: -incident_o(A,B) | incident_c(A,ax2_sk4(B,C,D,E)) | -ordered_by(B,E,D) | -ordered_by(B,D,C). [resolve(32,a,25,c)].
% 0.48/0.82 Derived: -incident_o(A,B) | incident_c(A,ax2_sk4(B,C,D,E)) | -ordered_by(B,C,D) | -ordered_by(B,D,E). [resolve(32,a,30,c)].
% 0.48/0.82 33 -between_o(A,B,C,D) | -incident_c(E,ax2_sk4(A,D,C,B)) | incident_o(E,A) # label(o3_23) # label(axiom). [assumption].
% 0.48/0.82 Derived: -incident_c(A,ax2_sk4(B,C,D,E)) | incident_o(A,B) | -ordered_by(B,E,D) | -ordered_by(B,D,C). [resolve(33,a,25,c)].
% 0.48/0.82 Derived: -incident_c(A,ax2_sk4(B,C,D,E)) | incident_o(A,B) | -ordered_by(B,C,D) | -ordered_by(B,D,E). [resolve(33,a,30,c)].
% 0.48/0.82 34 incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | between_o(B,E,D,C) # label(o3_25) # label(axiom). [assumption].
% 0.48/0.82 Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | ordered_by(B,E,D) | ordered_by(B,C,D). [resolve(34,d,26,a)].
% 0.48/0.82 Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | ordered_by(B,E,D) | ordered_by(B,D,E). [resolve(34,d,27,a)].
% 0.48/0.82 Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | ordered_by(B,D,C) | ordered_by(B,C,D). [resolve(34,d,28,a)].
% 0.48/0.82 Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | ordered_by(B,D,C) | ordered_by(B,D,E). [resolve(34,d,29,a)].
% 0.48/0.82 Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | between_c(ax2_sk4(B,C,D,E),E,D,C). [resolve(34,d,31,a)].
% 0.48/0.82 Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | -incident_o(F,B) | incident_c(F,ax2_sk4(B,C,D,E)). [resolve(34,d,32,a)].
% 0.48/0.82 Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | -incident_c(F,ax2_sk4(B,C,D,E)) | incident_o(F,B). [resolve(34,d,33,a)].
% 0.48/0.82 35 incident_o(ax2_sk5(A,B,C,D,E),B) | -incident_o(ax2_sk5(A,B,C,D,E),B) | -between_c(A,E,D,C) | between_o(B,E,D,C) # label(o3_26) # label(axiom). [assumption].
% 0.48/0.82 36 -incident_c(ax2_sk5(A,B,C,D,E),A) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | between_o(B,E,D,C) # label(o3_27) # label(axiom). [assumption].
% 0.48/0.82 37 -incident_c(ax2_sk5(A,B,C,D,E),A) | -incident_o(ax2_sk5(A,B,C,D,E),B) | -between_c(A,E,D,C) | between_o(B,E,D,C) # label(o3_28) # label(axiom). [assumption].
% 0.48/0.82 Derived: -incident_c(ax2_sk5(A,B,C,D,E),A) | -incident_o(ax2_sk5(A,B,C,D,E),B) | -between_c(A,E,D,C) | ordered_byCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------