TSTP Solution File: GEO127-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO127-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 05:54:12 EDT 2022
% Result : Unsatisfiable 0.97s 1.26s
% Output : Refutation 0.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO127-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 06:01:27 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.68/0.99 ============================== Prover9 ===============================
% 0.68/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.68/0.99 Process 15919 was started by sandbox2 on n017.cluster.edu,
% 0.68/0.99 Sat Jun 18 06:01:28 2022
% 0.68/0.99 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_15766_n017.cluster.edu".
% 0.68/0.99 ============================== end of head ===========================
% 0.68/0.99
% 0.68/0.99 ============================== INPUT =================================
% 0.68/0.99
% 0.68/0.99 % Reading from file /tmp/Prover9_15766_n017.cluster.edu
% 0.68/0.99
% 0.68/0.99 set(prolog_style_variables).
% 0.68/0.99 set(auto2).
% 0.68/0.99 % set(auto2) -> set(auto).
% 0.68/0.99 % set(auto) -> set(auto_inference).
% 0.68/0.99 % set(auto) -> set(auto_setup).
% 0.68/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.68/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.68/0.99 % set(auto) -> set(auto_limits).
% 0.68/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.68/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.68/0.99 % set(auto) -> set(auto_denials).
% 0.68/0.99 % set(auto) -> set(auto_process).
% 0.68/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.68/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.68/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.68/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.68/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.68/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.68/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.68/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.68/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.68/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.68/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.68/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.68/0.99 % set(auto2) -> assign(stats, some).
% 0.68/0.99 % set(auto2) -> clear(echo_input).
% 0.68/0.99 % set(auto2) -> set(quiet).
% 0.68/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.68/0.99 % set(auto2) -> clear(print_given).
% 0.68/0.99 assign(lrs_ticks,-1).
% 0.68/0.99 assign(sos_limit,10000).
% 0.68/0.99 assign(order,kbo).
% 0.68/0.99 set(lex_order_vars).
% 0.68/0.99 clear(print_given).
% 0.68/0.99
% 0.68/0.99 % formulas(sos). % not echoed (102 formulas)
% 0.68/0.99
% 0.68/0.99 ============================== end of input ==========================
% 0.68/0.99
% 0.68/0.99 % From the command line: assign(max_seconds, 300).
% 0.68/0.99
% 0.68/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.68/0.99
% 0.68/0.99 % Formulas that are not ordinary clauses:
% 0.68/0.99
% 0.68/0.99 ============================== end of process non-clausal formulas ===
% 0.68/0.99
% 0.68/0.99 ============================== PROCESS INITIAL CLAUSES ===============
% 0.68/0.99
% 0.68/0.99 ============================== PREDICATE ELIMINATION =================
% 0.68/0.99 1 -incident_c(A,B) | end_point(A,B) | inner_point(A,B) # label(inner_point_defn_23) # label(axiom). [assumption].
% 0.68/0.99 2 -inner_point(A,B) | incident_c(A,B) # label(inner_point_defn_21) # label(axiom). [assumption].
% 0.68/0.99 3 -inner_point(A,B) | -end_point(A,B) # label(inner_point_defn_22) # label(axiom). [assumption].
% 0.68/0.99 4 inner_point(ax0_sk8(A),A) # label(c3_37) # label(axiom). [assumption].
% 0.68/0.99 Derived: incident_c(ax0_sk8(A),A). [resolve(4,a,2,a)].
% 0.68/0.99 Derived: -end_point(ax0_sk8(A),A). [resolve(4,a,3,a)].
% 0.68/0.99 5 -inner_point(A,B) | meet(A,ax0_sk9(A,B),ax0_sk10(A,B)) # label(c4_38) # label(axiom). [assumption].
% 0.68/0.99 Derived: meet(A,ax0_sk9(A,B),ax0_sk10(A,B)) | -incident_c(A,B) | end_point(A,B). [resolve(5,a,1,c)].
% 0.68/0.99 Derived: meet(ax0_sk8(A),ax0_sk9(ax0_sk8(A),A),ax0_sk10(ax0_sk8(A),A)). [resolve(5,a,4,a)].
% 0.68/0.99 6 -inner_point(A,B) | B = sum(ax0_sk9(A,B),ax0_sk10(A,B)) # label(c4_39) # label(axiom). [assumption].
% 0.68/0.99 Derived: A = sum(ax0_sk9(B,A),ax0_sk10(B,A)) | -incident_c(B,A) | end_point(B,A). [resolve(6,a,1,c)].
% 0.68/0.99 Derived: A = sum(ax0_sk9(ax0_sk8(A),A),ax0_sk10(ax0_sk8(A),A)). [resolve(6,a,4,a)].
% 0.68/0.99 7 -between_c(A,B,C,D) | inner_point(C,ax1_sk1(D,C,B,A)) # label(between_c_defn_5) # label(axiom). [assumption].
% 0.68/0.99 Derived: -between_c(A,B,C,D) | incident_c(C,ax1_sk1(D,C,B,A)). [resolve(7,b,2,a)].
% 0.68/0.99 Derived: -between_c(A,B,C,D) | -end_point(C,ax1_sk1(D,C,B,A)). [resolve(7,b,3,a)].
% 0.68/0.99 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(7,b,5,a)].
% 0.68/0.99 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(7,b,6,a)].
% 0.68/0.99 8 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].
% 0.68/0.99 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(8,e,1,c)].
% 0.68/0.99 Derived: A = B | -part_of(C,D) | -end_point(A,C) | -end_point(B,C) | between_c(D,A,ax0_sk8(C),B). [resolve(8,e,4,a)].
% 0.68/0.99 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(8,e,7,b)].
% 0.68/0.99 9 end_point(ax0_sk6(A),A) | closed(A) # label(closed_defn_32) # label(axiom). [assumption].
% 0.68/0.99 10 -closed(A) | -end_point(B,A) # label(closed_defn_31) # label(axiom). [assumption].
% 0.68/0.99 Derived: end_point(ax0_sk6(A),A) | -end_point(B,A). [resolve(9,b,10,a)].
% 0.68/0.99 11 -closed(A) | -meet(B,C,D) | A != sum(C,D) | -end_point(E,C) | meet(E,C,D) # label(c7_43) # label(axiom). [assumption].
% 0.68/0.99 Derived: -meet(A,B,C) | D != sum(B,C) | -end_point(E,B) | meet(E,B,C) | end_point(ax0_sk6(D),D). [resolve(11,a,9,b)].
% 0.68/0.99 12 -end_point(A,B) | open(B) # label(open_defn_34) # label(axiom). [assumption].
% 0.68/0.99 13 -open(A) | end_point(ax0_sk7(A),A) # label(open_defn_33) # label(axiom). [assumption].
% 0.68/0.99 Derived: -end_point(A,B) | end_point(ax0_sk7(B),B). [resolve(12,b,13,a)].
% 0.68/0.99 14 -part_of(A,B) | A = B | open(A) # label(c1_35) # label(axiom). [assumption].
% 0.68/0.99 Derived: -part_of(A,B) | A = B | end_point(ax0_sk7(A),A). [resolve(14,c,13,a)].
% 0.68/0.99 15 open(ax2_sk3(A)) # label(o2_19) # label(axiom). [assumption].
% 0.68/0.99 Derived: end_point(ax0_sk7(ax2_sk3(A)),ax2_sk3(A)). [resolve(15,a,13,a)].
% 0.68/0.99 16 -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].
% 0.68/0.99 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(16,a,12,b)].
% 0.68/0.99 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(16,a,14,c)].
% 0.68/0.99 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(16,a,15,a)].
% 0.68/0.99 17 -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].
% 0.68/0.99 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(17,a,12,b)].
% 0.68/0.99 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(17,a,14,c)].
% 0.68/0.99 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(17,a,15,a)].
% 0.68/0.99 18 -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].
% 0.68/0.99 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(18,a,12,b)].
% 0.68/0.99 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(18,a,14,c)].
% 0.68/0.99 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(18,a,15,a)].
% 0.68/0.99 19 -ordered_by(A,B,C) | -ordered_by(A,C,D) | between_o(A,B,C,D) # label(between_o_defn_5) # label(axiom). [assumption].
% 0.68/0.99 20 -between_o(A,B,C,D) | ordered_by(A,B,C) | ordered_by(A,D,C) # label(between_o_defn_1) # label(axiom). [assumption].
% 0.68/0.99 21 -between_o(A,B,C,D) | ordered_by(A,B,C) | ordered_by(A,C,B) # label(between_o_defn_2) # label(axiom). [assumption].
% 0.68/0.99 22 -between_o(A,B,C,D) | ordered_by(A,C,D) | ordered_by(A,D,C) # label(between_o_defn_3) # label(axiom). [assumption].
% 0.68/0.99 23 -between_o(A,B,C,D) | ordered_by(A,C,D) | ordered_by(A,C,B) # label(between_o_defn_4) # label(axiom). [assumption].
% 0.68/0.99 24 -ordered_by(A,B,C) | -ordered_by(A,C,D) | between_o(A,D,C,B) # label(between_o_defn_6) # label(axiom). [assumption].
% 0.68/0.99 25 -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].
% 0.68/1.00 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(25,a,19,c)].
% 0.68/1.00 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(25,a,24,c)].
% 0.68/1.00 26 -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].
% 0.68/1.00 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(26,a,19,c)].
% 0.68/1.00 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(26,a,24,c)].
% 0.68/1.00 27 -between_o(A,B,C,D) | between_c(ax2_sk4(A,D,C,B),B,C,D) # label(o3_24) # label(axiom). [assumption].
% 0.68/1.00 Derived: between_c(ax2_sk4(A,B,C,D),D,C,B) | -ordered_by(A,D,C) | -ordered_by(A,C,B). [resolve(27,a,19,c)].
% 0.68/1.00 Derived: between_c(ax2_sk4(A,B,C,D),D,C,B) | -ordered_by(A,B,C) | -ordered_by(A,C,D). [resolve(27,a,24,c)].
% 0.68/1.00 28 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].
% 0.68/1.00 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(28,d,20,a)].
% 0.68/1.00 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(28,d,21,a)].
% 0.68/1.00 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(28,d,22,a)].
% 0.68/1.00 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(28,d,23,a)].
% 0.68/1.00 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(28,d,25,a)].
% 0.68/1.00 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(28,d,26,a)].
% 0.68/1.00 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(28,d,27,a)].
% 0.68/1.00 29 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].
% 0.68/1.00 30 -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].
% 0.68/1.00 31 -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].
% 0.68/1.00 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_by(B,E,D) | ordered_by(B,C,D). [resolve(31,d,20,a)].
% 0.68/1.00 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_by(B,E,D) | ordered_by(B,D,E). [resolve(31,d,21,a)].
% 0.68/1.00 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_by(B,D,C) | ordered_by(B,C,D). [resolve(31,d,22,a)].
% 0.68/1.00 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_by(B,D,C) | ordered_by(B,D,E). [resolve(31,d,23,a)].
% 0.68/1.00 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) | -incident_o(F,B) | incident_c(F,ax2_sk4(B,C,D,E)). [resolve(31,d,25,a)].
% 0.68/1.00 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) | -incident_c(F,ax2_sk4(B,C,D,E)) | incident_o(F,B). [resolve(31,d,26,a)].
% 0.68/1.00 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) | between_c(ax2_sk4(B,C,D,E),E,D,C). [resolve(31,d,27,a)].
% 0.68/1.00 32 -incident_o(A,B) | A != ax2_sk1(B,A) | start_point(A,B) # label(start_point_defn_9) # label(axiom). [assumption].
% 0.68/1.00 33 -start_point(A,B) | incident_o(A,B) # label(start_point_defn_7) # label(axiom). [assumption].
% 0.97/1.26 34 -start_point(A,B) | A = C | -incident_o(C,B) | ordered_by(B,A,C) # label(start_point_defn_8) # label(axiom). [assumption].
% 0.97/1.26 Derived: -incident_o(A,B) | A != ax2_sk1(B,A) | A = C | -incident_o(C,B) | ordered_by(B,A,C). [resolve(32,c,34,a)].
% 0.97/1.26 35 -incident_o(A,B) | incident_o(ax2_sk1(B,A),B) | start_point(A,B) # label(start_point_defn_10) # label(axiom). [assumption].
% 0.97/1.26 Derived: -incident_o(A,B) | incident_o(ax2_sk1(B,A),B) | A = C | -incident_o(C,B) | ordered_by(B,A,C). [resolve(35,c,34,a)].
% 0.97/1.26 36 -incident_o(A,B) | -ordered_by(B,A,ax2_sk1(B,A)) | start_point(A,B) # label(start_point_defn_11) # label(axiom). [assumption].
% 0.97/1.26 Derived: -incident_o(A,B) | -ordered_by(B,A,ax2_sk1(B,A)) | A = C | -incident_o(C,B) | ordered_by(B,A,C). [resolve(36,c,34,a)].
% 0.97/1.26 37 start_point(ax2_sk6(A),A) # label(o4_29) # label(axiom). [assumption].
% 0.97/1.26 Derived: incident_o(ax2_sk6(A),A). [resolve(37,a,33,a)].
% 0.97/1.26 Derived: ax2_sk6(A) = B | -incident_o(B,A) | ordered_by(A,ax2_sk6(A),B). [resolve(37,a,34,a)].
% 0.97/1.26 38 -incident_o(A,B) | A != ax2_sk2(B,A) | finish_point(A,B) # label(finish_point_defn_14) # label(axiom). [assumption].
% 0.97/1.26 39 -finish_point(A,B) | incident_o(A,B) # label(finish_point_defn_12) # label(axiom). [assumption].
% 0.97/1.26 40 -finish_point(A,B) | A = C | -incident_o(C,B) | ordered_by(B,C,A) # label(finish_point_defn_13) # label(axiom). [assumption].
% 0.97/1.26 Derived: -incident_o(A,B) | A != ax2_sk2(B,A) | A = C | -incident_o(C,B) | ordered_by(B,C,A). [resolve(38,c,40,a)].
% 0.97/1.26 41 -incident_o(A,B) | incident_o(ax2_sk2(B,A),B) | finish_point(A,B) # label(finish_point_defn_15) # label(axiom). [assumption].
% 0.97/1.26 Derived: -incident_o(A,B) | incident_o(ax2_sk2(B,A),B) | A = C | -incident_o(C,B) | ordered_by(B,C,A). [resolve(41,c,40,a)].
% 0.97/1.26 42 -incident_o(A,B) | -ordered_by(B,ax2_sk2(B,A),A) | finish_point(A,B) # label(finish_point_defn_16) # label(axiom). [assumption].
% 0.97/1.26 Derived: -incident_o(A,B) | -ordered_by(B,ax2_sk2(B,A),A) | A = C | -incident_o(C,B) | ordered_by(B,C,A). [resolve(42,c,40,a)].
% 0.97/1.26
% 0.97/1.26 ============================== end predicate elimination =============
% 0.97/1.26
% 0.97/1.26 Auto_denials: (non-Horn, no changes).
% 0.97/1.26
% 0.97/1.26 Term ordering decisions:
% 0.97/1.26 Function symbol KB weights: sk25=1. sk26=1. sk27=1. sum=1. ax0_sk13=1. ax2_sk10=1. ax2_sk8=1. ax2_sk9=1. ax0_sk10=1. ax0_sk9=1. ax0_sk3=1. ax0_sk4=1. ax2_sk1=1. ax2_sk2=1. ax0_sk1=1. ax0_sk11=1. ax0_sk12=1. ax2_sk3=1. ax0_sk8=1. underlying_curve=1. ax0_sk7=1. ax2_sk6=1. ax0_sk6=1. ax0_sk2=1. ax2_sk7=1. ax0_sk5=1. ax1_sk1=1. ax2_sk4=1. ax2_sk5=1.
% 0.97/1.26
% 0.97/1.26 ============================== end of process initial clauses ========
% 0.97/1.26
% 0.97/1.26 ============================== CLAUSES FOR SEARCH ====================
% 0.97/1.26
% 0.97/1.26 ============================== end of clauses for search =============
% 0.97/1.26
% 0.97/1.26 ============================== SEARCH ================================
% 0.97/1.26
% 0.97/1.26 % Starting search at 0.04 seconds.
% 0.97/1.26
% 0.97/1.26 ============================== PROOF =================================
% 0.97/1.26 % SZS status Unsatisfiable
% 0.97/1.26 % SZS output start Refutation
% 0.97/1.26
% 0.97/1.26 % Proof 1 at 0.28 (+ 0.01) seconds.
% 0.97/1.26 % Length of proof is 57.
% 0.97/1.26 % Level of proof is 12.
% 0.97/1.26 % Maximum clause weight is 18.000.
% 0.97/1.26 % Given clauses 344.
% 0.97/1.26
% 0.97/1.26 2 -inner_point(A,B) | incident_c(A,B) # label(inner_point_defn_21) # label(axiom). [assumption].
% 0.97/1.26 3 -inner_point(A,B) | -end_point(A,B) # label(inner_point_defn_22) # label(axiom). [assumption].
% 0.97/1.26 4 inner_point(ax0_sk8(A),A) # label(c3_37) # label(axiom). [assumption].
% 0.97/1.26 9 end_point(ax0_sk6(A),A) | closed(A) # label(closed_defn_32) # label(axiom). [assumption].
% 0.97/1.26 10 -closed(A) | -end_point(B,A) # label(closed_defn_31) # label(axiom). [assumption].
% 0.97/1.26 13 -open(A) | end_point(ax0_sk7(A),A) # label(open_defn_33) # label(axiom). [assumption].
% 0.97/1.26 15 open(ax2_sk3(A)) # label(o2_19) # label(axiom). [assumption].
% 0.97/1.26 34 -start_point(A,B) | A = C | -incident_o(C,B) | ordered_by(B,A,C) # label(start_point_defn_8) # label(axiom). [assumption].
% 0.97/1.26 37 start_point(ax2_sk6(A),A) # label(o4_29) # label(axiom). [assumption].
% 0.97/1.26 38 -incident_o(A,B) | A != ax2_sk2(B,A) | finish_point(A,B) # label(finish_point_defn_14) # label(axiom). [assumption].
% 0.97/1.26 40 -finish_point(A,B) | A = C | -incident_o(C,B) | ordered_by(B,C,A) # label(finish_point_defn_13) # label(axiom). [assumption].
% 0.97/1.26 41 -incident_o(A,B) | incident_o(ax2_sk2(B,A),B) | finish_point(A,B) # label(finish_point_defn_15) # label(axiom). [assumption].
% 0.97/1.26 61 -end_point(A,B) | incident_c(A,B) # label(end_point_defn_13) # label(axiom). [assumption].
% 0.97/1.26 78 -end_point(A,B) | end_point(ax0_sk11(A,B),B) # label(c6_41) # label(axiom). [assumption].
% 0.97/1.26 79 -end_point(A,B) | A != ax0_sk11(A,B) # label(c6_42) # label(axiom). [assumption].
% 0.97/1.26 80 -end_point(A,B) | ax0_sk11(A,B) != A. [copy(79),flip(b)].
% 0.97/1.26 88 -ordered_by(A,B,C) | incident_o(B,A) # label(o1_17) # label(axiom). [assumption].
% 0.97/1.26 89 -ordered_by(A,B,C) | incident_o(C,A) # label(o1_18) # label(axiom). [assumption].
% 0.97/1.26 91 -incident_c(A,ax2_sk3(B)) | incident_o(A,B) # label(o2_21) # label(axiom). [assumption].
% 0.97/1.26 104 incident_o(sk26,sk25) | ordered_by(sk25,sk26,sk27) | ordered_by(sk25,sk27,sk26) # label(theorem_4_12_133) # label(negated_conjecture). [assumption].
% 0.97/1.26 107 -ordered_by(sk25,sk26,A) | -incident_o(sk26,sk25) # label(theorem_4_12_137) # label(negated_conjecture). [assumption].
% 0.97/1.26 108 -ordered_by(sk25,A,sk26) | -incident_o(sk26,sk25) # label(theorem_4_12_138) # label(negated_conjecture). [assumption].
% 0.97/1.26 109 incident_c(ax0_sk8(A),A). [resolve(4,a,2,a)].
% 0.97/1.26 110 -end_point(ax0_sk8(A),A). [resolve(4,a,3,a)].
% 0.97/1.26 125 end_point(ax0_sk6(A),A) | -end_point(B,A). [resolve(9,b,10,a)].
% 0.97/1.26 130 end_point(ax0_sk7(ax2_sk3(A)),ax2_sk3(A)). [resolve(15,a,13,a)].
% 0.97/1.26 165 ax2_sk6(A) = B | -incident_o(B,A) | ordered_by(A,ax2_sk6(A),B). [resolve(37,a,34,a)].
% 0.97/1.26 166 -incident_o(A,B) | A != ax2_sk2(B,A) | A = C | -incident_o(C,B) | ordered_by(B,C,A). [resolve(38,c,40,a)].
% 0.97/1.26 167 -incident_o(A,B) | ax2_sk2(B,A) != A | A = C | -incident_o(C,B) | ordered_by(B,C,A). [copy(166),flip(b)].
% 0.97/1.26 168 -incident_o(A,B) | incident_o(ax2_sk2(B,A),B) | A = C | -incident_o(C,B) | ordered_by(B,C,A). [resolve(41,c,40,a)].
% 0.97/1.26 390 incident_o(sk26,sk25) | ordered_by(sk25,sk26,sk27). [resolve(104,c,89,a),merge(c)].
% 0.97/1.26 392 incident_o(ax0_sk8(ax2_sk3(A)),A). [resolve(109,a,91,a)].
% 0.97/1.26 430 end_point(ax0_sk6(ax2_sk3(A)),ax2_sk3(A)). [resolve(130,a,125,b)].
% 0.97/1.26 791 ax0_sk11(ax0_sk6(ax2_sk3(A)),ax2_sk3(A)) != ax0_sk6(ax2_sk3(A)). [resolve(430,a,80,a)].
% 0.97/1.26 792 end_point(ax0_sk11(ax0_sk6(ax2_sk3(A)),ax2_sk3(A)),ax2_sk3(A)). [resolve(430,a,78,a)].
% 0.97/1.26 794 incident_c(ax0_sk6(ax2_sk3(A)),ax2_sk3(A)). [resolve(430,a,61,a)].
% 0.97/1.26 840 incident_o(ax0_sk6(ax2_sk3(A)),A). [resolve(794,a,91,a)].
% 0.97/1.26 881 incident_o(sk26,sk25). [resolve(390,b,88,a),merge(b)].
% 0.97/1.26 882 -ordered_by(sk25,A,sk26). [back_unit_del(108),unit_del(b,881)].
% 0.97/1.26 883 -ordered_by(sk25,sk26,A). [back_unit_del(107),unit_del(b,881)].
% 0.97/1.26 885 incident_o(ax2_sk2(sk25,sk26),sk25) | sk26 = A | -incident_o(A,sk25). [resolve(881,a,168,a),unit_del(d,882)].
% 0.97/1.26 887 ax2_sk2(sk25,sk26) != sk26 | sk26 = A | -incident_o(A,sk25). [resolve(881,a,167,a),unit_del(d,882)].
% 0.97/1.26 888 ax2_sk6(sk25) = sk26. [resolve(881,a,165,b),unit_del(b,882)].
% 0.97/1.26 1522 incident_c(ax0_sk11(ax0_sk6(ax2_sk3(A)),ax2_sk3(A)),ax2_sk3(A)). [resolve(792,a,61,a)].
% 0.97/1.26 1720 incident_o(ax0_sk11(ax0_sk6(ax2_sk3(A)),ax2_sk3(A)),A). [resolve(1522,a,91,a)].
% 0.97/1.26 2391 incident_o(ax2_sk2(sk25,sk26),sk25) | ax0_sk6(ax2_sk3(sk25)) = sk26. [resolve(885,c,840,a),flip(b)].
% 0.97/1.26 2393 incident_o(ax2_sk2(sk25,sk26),sk25) | ax0_sk8(ax2_sk3(sk25)) = sk26. [resolve(885,c,392,a),flip(b)].
% 0.97/1.26 2412 ax0_sk6(ax2_sk3(sk25)) = sk26 | ax2_sk2(sk25,sk26) = sk26. [resolve(2391,a,165,b),rewrite([888(7),888(13)]),flip(b),unit_del(c,883)].
% 0.97/1.26 2436 ax0_sk8(ax2_sk3(sk25)) = sk26 | ax2_sk2(sk25,sk26) = sk26. [resolve(2393,a,165,b),rewrite([888(7),888(13)]),flip(b),unit_del(c,883)].
% 0.97/1.26 2497 ax2_sk2(sk25,sk26) = sk26 | end_point(sk26,ax2_sk3(sk25)). [para(2412(a,1),430(a,1))].
% 0.97/1.26 2531 ax2_sk2(sk25,sk26) = sk26 | -end_point(sk26,ax2_sk3(sk25)). [para(2436(a,1),110(a,1))].
% 0.97/1.26 2563 ax2_sk2(sk25,sk26) = sk26. [resolve(2531,b,2497,b),merge(b)].
% 0.97/1.26 2568 sk26 = A | -incident_o(A,sk25). [back_rewrite(887),rewrite([2563(3)]),xx(a)].
% 0.97/1.26 2571 ax0_sk11(ax0_sk6(ax2_sk3(sk25)),ax2_sk3(sk25)) = sk26. [resolve(2568,b,1720,a),flip(a)].
% 0.97/1.26 2578 ax0_sk6(ax2_sk3(sk25)) = sk26. [resolve(2568,b,840,a),flip(a)].
% 0.97/1.26 2584 ax0_sk11(sk26,ax2_sk3(sk25)) = sk26. [back_rewrite(2571),rewrite([2578(3)])].
% 0.97/1.26 2610 $F. [para(2578(a,1),791(a,1,1)),rewrite([2584(4),2578(4)]),xx(a)].
% 0.97/1.26
% 0.97/1.26 % SZS output end Refutation
% 0.97/1.26 ============================== end of proof ==========================
% 0.97/1.26
% 0.97/1.26 ============================== STATISTICS ============================
% 0.97/1.26
% 0.97/1.26 Given=344. Generated=4450. Kept=2545. proofs=1.
% 0.97/1.26 Usable=299. Sos=1596. Demods=18. Limbo=1, Disabled=806. Hints=0.
% 0.97/1.26 Megabytes=3.23.
% 0.97/1.26 User_CPU=0.28, System_CPU=0.01, Wall_clock=0.
% 0.97/1.26
% 0.97/1.26 ============================== end of statistics =====================
% 0.97/1.26
% 0.97/1.26 ============================== end of search =========================
% 0.97/1.26
% 0.97/1.26 THEOREM PROVED
% 0.97/1.26 % SZS status Unsatisfiable
% 0.97/1.26
% 0.97/1.26 Exiting with 1 proof.
% 0.97/1.26
% 0.97/1.26 Process 15919 exit (max_proofs) Sat Jun 18 06:01:28 2022
% 0.97/1.27 Prover9 interrupted
%------------------------------------------------------------------------------