TSTP Solution File: GEO126-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO126-1 : TPTP v8.1.0. Released v2.4.0.
% 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 05:54:12 EDT 2022
% Result : Unsatisfiable 1.26s 1.60s
% Output : Refutation 1.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO126-1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 04:13:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.05 ============================== Prover9 ===============================
% 0.43/1.05 Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.05 Process 5850 was started by sandbox on n020.cluster.edu,
% 0.43/1.05 Sat Jun 18 04:13:34 2022
% 0.43/1.05 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_5508_n020.cluster.edu".
% 0.43/1.05 ============================== end of head ===========================
% 0.43/1.05
% 0.43/1.05 ============================== INPUT =================================
% 0.43/1.05
% 0.43/1.05 % Reading from file /tmp/Prover9_5508_n020.cluster.edu
% 0.43/1.05
% 0.43/1.05 set(prolog_style_variables).
% 0.43/1.05 set(auto2).
% 0.43/1.05 % set(auto2) -> set(auto).
% 0.43/1.05 % set(auto) -> set(auto_inference).
% 0.43/1.05 % set(auto) -> set(auto_setup).
% 0.43/1.05 % set(auto_setup) -> set(predicate_elim).
% 0.43/1.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/1.05 % set(auto) -> set(auto_limits).
% 0.43/1.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/1.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/1.05 % set(auto) -> set(auto_denials).
% 0.43/1.05 % set(auto) -> set(auto_process).
% 0.43/1.05 % set(auto2) -> assign(new_constants, 1).
% 0.43/1.05 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/1.05 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/1.05 % set(auto2) -> assign(max_hours, 1).
% 0.43/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/1.05 % set(auto2) -> assign(max_seconds, 0).
% 0.43/1.05 % set(auto2) -> assign(max_minutes, 5).
% 0.43/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/1.05 % set(auto2) -> set(sort_initial_sos).
% 0.43/1.05 % set(auto2) -> assign(sos_limit, -1).
% 0.43/1.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/1.05 % set(auto2) -> assign(max_megs, 400).
% 0.43/1.05 % set(auto2) -> assign(stats, some).
% 0.43/1.05 % set(auto2) -> clear(echo_input).
% 0.43/1.05 % set(auto2) -> set(quiet).
% 0.43/1.05 % set(auto2) -> clear(print_initial_clauses).
% 0.43/1.05 % set(auto2) -> clear(print_given).
% 0.43/1.05 assign(lrs_ticks,-1).
% 0.43/1.05 assign(sos_limit,10000).
% 0.43/1.05 assign(order,kbo).
% 0.43/1.05 set(lex_order_vars).
% 0.43/1.05 clear(print_given).
% 0.43/1.05
% 0.43/1.05 % formulas(sos). % not echoed (97 formulas)
% 0.43/1.05
% 0.43/1.05 ============================== end of input ==========================
% 0.43/1.05
% 0.43/1.05 % From the command line: assign(max_seconds, 300).
% 0.43/1.05
% 0.43/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/1.05
% 0.43/1.05 % Formulas that are not ordinary clauses:
% 0.43/1.05
% 0.43/1.05 ============================== end of process non-clausal formulas ===
% 0.43/1.05
% 0.43/1.05 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/1.05
% 0.43/1.05 ============================== PREDICATE ELIMINATION =================
% 0.43/1.05 1 -open(A) | end_point(ax0_sk7(A),A) # label(open_defn_33) # label(axiom). [assumption].
% 0.43/1.05 2 open(ax2_sk3(A)) # label(o2_19) # label(axiom). [assumption].
% 0.43/1.05 3 -end_point(A,B) | open(B) # label(open_defn_34) # label(axiom). [assumption].
% 0.43/1.05 Derived: end_point(ax0_sk7(ax2_sk3(A)),ax2_sk3(A)). [resolve(1,a,2,a)].
% 0.43/1.05 Derived: end_point(ax0_sk7(A),A) | -end_point(B,A). [resolve(1,a,3,b)].
% 0.43/1.05 4 -part_of(A,B) | A = B | open(A) # label(c1_35) # label(axiom). [assumption].
% 0.43/1.05 Derived: -part_of(A,B) | A = B | end_point(ax0_sk7(A),A). [resolve(4,c,1,a)].
% 0.43/1.05 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].
% 0.43/1.05 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)].
% 0.43/1.05 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)].
% 0.43/1.05 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)].
% 0.43/1.05 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].
% 0.43/1.05 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)].
% 0.43/1.05 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)].
% 0.43/1.05 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)].
% 0.43/1.05 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].
% 0.43/1.05 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)].
% 0.43/1.05 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)].
% 0.43/1.05 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)].
% 0.43/1.05 8 -inner_point(A,B) | -end_point(A,B) # label(inner_point_defn_22) # label(axiom). [assumption].
% 0.43/1.05 9 inner_point(ax0_sk8(A),A) # label(c3_37) # label(axiom). [assumption].
% 0.43/1.05 Derived: -end_point(ax0_sk8(A),A). [resolve(8,a,9,a)].
% 0.43/1.05 10 -inner_point(A,B) | incident_c(A,B) # label(inner_point_defn_21) # label(axiom). [assumption].
% 0.43/1.05 Derived: incident_c(ax0_sk8(A),A). [resolve(10,a,9,a)].
% 0.43/1.05 11 -incident_c(A,B) | end_point(A,B) | inner_point(A,B) # label(inner_point_defn_23) # label(axiom). [assumption].
% 0.43/1.05 12 -inner_point(A,B) | meet(A,ax0_sk9(A,B),ax0_sk10(A,B)) # label(c4_38) # label(axiom). [assumption].
% 0.43/1.05 Derived: meet(ax0_sk8(A),ax0_sk9(ax0_sk8(A),A),ax0_sk10(ax0_sk8(A),A)). [resolve(12,a,9,a)].
% 0.43/1.05 Derived: meet(A,ax0_sk9(A,B),ax0_sk10(A,B)) | -incident_c(A,B) | end_point(A,B). [resolve(12,a,11,c)].
% 0.43/1.05 13 -inner_point(A,B) | B = sum(ax0_sk9(A,B),ax0_sk10(A,B)) # label(c4_39) # label(axiom). [assumption].
% 0.43/1.05 Derived: A = sum(ax0_sk9(ax0_sk8(A),A),ax0_sk10(ax0_sk8(A),A)). [resolve(13,a,9,a)].
% 0.43/1.05 Derived: A = sum(ax0_sk9(B,A),ax0_sk10(B,A)) | -incident_c(B,A) | end_point(B,A). [resolve(13,a,11,c)].
% 0.43/1.05 14 -between_c(A,B,C,D) | inner_point(C,ax1_sk1(D,C,B,A)) # label(between_c_defn_5) # label(axiom). [assumption].
% 0.43/1.05 Derived: -between_c(A,B,C,D) | -end_point(C,ax1_sk1(D,C,B,A)). [resolve(14,b,8,a)].
% 0.43/1.05 Derived: -between_c(A,B,C,D) | incident_c(C,ax1_sk1(D,C,B,A)). [resolve(14,b,10,a)].
% 0.43/1.05 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)].
% 0.43/1.05 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)].
% 0.43/1.05 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].
% 0.43/1.05 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)].
% 0.43/1.05 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)].
% 0.43/1.05 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)].
% 0.43/1.05 16 -start_point(A,B) | incident_o(A,B) # label(start_point_defn_7) # label(axiom). [assumption].
% 0.43/1.05 17 start_point(ax2_sk6(A),A) # label(o4_29) # label(axiom). [assumption].
% 0.43/1.05 Derived: incident_o(ax2_sk6(A),A). [resolve(16,a,17,a)].
% 0.43/1.05 18 -incident_o(A,B) | A != ax2_sk1(B,A) | start_point(A,B) # label(start_point_defn_9) # label(axiom). [assumption].
% 0.43/1.05 19 -incident_o(A,B) | incident_o(ax2_sk1(B,A),B) | start_point(A,B) # label(start_point_defn_10) # label(axiom). [assumption].
% 0.43/1.05 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].
% 0.43/1.05 21 -start_point(A,B) | A = C | -incident_o(C,B) | ordered_by(B,A,C) # label(start_point_defn_8) # label(axiom). [assumption].
% 0.43/1.05 Derived: ax2_sk6(A) = B | -incident_o(B,A) | ordered_by(A,ax2_sk6(A),B). [resolve(21,a,17,a)].
% 0.43/1.05 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)].
% 0.43/1.05 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)].
% 0.43/1.05 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)].
% 0.43/1.05 22 -closed(A) | -end_point(B,A) # label(closed_defn_31) # label(axiom). [assumption].
% 0.43/1.05 23 end_point(ax0_sk6(A),A) | closed(A) # label(closed_defn_32) # label(axiom). [assumption].
% 0.43/1.06 Derived: -end_point(A,B) | end_point(ax0_sk6(B),B). [resolve(22,a,23,b)].
% 0.43/1.06 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].
% 0.43/1.06 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)].
% 0.43/1.06 25 -incident_o(A,B) | A != ax2_sk2(B,A) | finish_point(A,B) # label(finish_point_defn_14) # label(axiom). [assumption].
% 0.43/1.06 26 -finish_point(A,B) | incident_o(A,B) # label(finish_point_defn_12) # label(axiom). [assumption].
% 0.43/1.06 27 -incident_o(A,B) | incident_o(ax2_sk2(B,A),B) | finish_point(A,B) # label(finish_point_defn_15) # label(axiom). [assumption].
% 0.43/1.06 28 -incident_o(A,B) | -ordered_by(B,ax2_sk2(B,A),A) | finish_point(A,B) # label(finish_point_defn_16) # label(axiom). [assumption].
% 0.43/1.06 29 -finish_point(A,B) | A = C | -incident_o(C,B) | ordered_by(B,C,A) # label(finish_point_defn_13) # label(axiom). [assumption].
% 0.43/1.06 Derived: A = B | -incident_o(B,C) | ordered_by(C,B,A) | -incident_o(A,C) | A != ax2_sk2(C,A). [resolve(29,a,25,c)].
% 0.43/1.06 Derived: A = B | -incident_o(B,C) | ordered_by(C,B,A) | -incident_o(A,C) | incident_o(ax2_sk2(C,A),C). [resolve(29,a,27,c)].
% 0.43/1.06 Derived: A = B | -incident_o(B,C) | ordered_by(C,B,A) | -incident_o(A,C) | -ordered_by(C,ax2_sk2(C,A),A). [resolve(29,a,28,c)].
% 0.43/1.06 30 -ordered_by(A,B,C) | -ordered_by(A,C,D) | between_o(A,B,C,D) # label(between_o_defn_5) # label(axiom). [assumption].
% 0.43/1.06 31 -between_o(A,B,C,D) | ordered_by(A,B,C) | ordered_by(A,D,C) # label(between_o_defn_1) # label(axiom). [assumption].
% 0.43/1.06 32 -between_o(A,B,C,D) | ordered_by(A,B,C) | ordered_by(A,C,B) # label(between_o_defn_2) # label(axiom). [assumption].
% 0.43/1.06 33 -between_o(A,B,C,D) | ordered_by(A,C,D) | ordered_by(A,D,C) # label(between_o_defn_3) # label(axiom). [assumption].
% 0.43/1.06 34 -between_o(A,B,C,D) | ordered_by(A,C,D) | ordered_by(A,C,B) # label(between_o_defn_4) # label(axiom). [assumption].
% 0.43/1.06 35 -ordered_by(A,B,C) | -ordered_by(A,C,D) | between_o(A,D,C,B) # label(between_o_defn_6) # label(axiom). [assumption].
% 0.43/1.06 36 -between_o(A,B,C,D) | between_c(ax2_sk4(A,D,C,B),B,C,D) # label(o3_24) # label(axiom). [assumption].
% 0.43/1.06 Derived: between_c(ax2_sk4(A,B,C,D),D,C,B) | -ordered_by(A,D,C) | -ordered_by(A,C,B). [resolve(36,a,30,c)].
% 0.43/1.06 Derived: between_c(ax2_sk4(A,B,C,D),D,C,B) | -ordered_by(A,B,C) | -ordered_by(A,C,D). [resolve(36,a,35,c)].
% 0.43/1.06 37 -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].
% 0.43/1.06 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(37,a,30,c)].
% 0.43/1.06 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(37,a,35,c)].
% 0.43/1.06 38 -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].
% 0.43/1.06 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(38,a,30,c)].
% 0.43/1.06 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(38,a,35,c)].
% 0.43/1.06 39 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].
% 0.43/1.06 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(39,d,31,a)].
% 0.43/1.06 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(39,d,32,a)].
% 0.43/1.06 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(39,d,33,a)].
% 0.43/1.06 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(39,d,34,a)].
% 0.43/1.06 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(39,d,36,a)].
% 1.26/1.60 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(39,d,37,a)].
% 1.26/1.60 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(39,d,38,a)].
% 1.26/1.60 40 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].
% 1.26/1.60 41 -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].
% 1.26/1.60 42 -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].
% 1.26/1.60 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(42,d,31,a)].
% 1.26/1.60 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(42,d,32,a)].
% 1.26/1.60 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(42,d,33,a)].
% 1.26/1.60 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(42,d,34,a)].
% 1.26/1.60 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(42,d,36,a)].
% 1.26/1.60 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(42,d,37,a)].
% 1.26/1.60 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(42,d,38,a)].
% 1.26/1.60
% 1.26/1.60 ============================== end predicate elimination =============
% 1.26/1.60
% 1.26/1.60 Auto_denials: (non-Horn, no changes).
% 1.26/1.60
% 1.26/1.60 Term ordering decisions:
% 1.26/1.60 Function symbol KB weights: sk25=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.
% 1.26/1.60
% 1.26/1.60 ============================== end of process initial clauses ========
% 1.26/1.60
% 1.26/1.60 ============================== CLAUSES FOR SEARCH ====================
% 1.26/1.60
% 1.26/1.60 ============================== end of clauses for search =============
% 1.26/1.60
% 1.26/1.60 ============================== SEARCH ================================
% 1.26/1.60
% 1.26/1.60 % Starting search at 0.04 seconds.
% 1.26/1.60
% 1.26/1.60 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 24 (0.00 of 0.49 sec).
% 1.26/1.60
% 1.26/1.60 Low Water (keep): wt=43.000, iters=3550
% 1.26/1.60
% 1.26/1.60 Low Water (keep): wt=42.000, iters=3505
% 1.26/1.60
% 1.26/1.60 Low Water (keep): wt=41.000, iters=3476
% 1.26/1.60
% 1.26/1.60 ============================== PROOF =================================
% 1.26/1.60 % SZS status Unsatisfiable
% 1.26/1.60 % SZS output start Refutation
% 1.26/1.60
% 1.26/1.60 % Proof 1 at 0.57 (+ 0.01) seconds.
% 1.26/1.60 % Length of proof is 23.
% 1.26/1.60 % Level of proof is 6.
% 1.26/1.60 % Maximum clause weight is 13.000.
% 1.26/1.60 % Given clauses 627.
% 1.26/1.60
% 1.26/1.60 1 -open(A) | end_point(ax0_sk7(A),A) # label(open_defn_33) # label(axiom). [assumption].
% 1.26/1.60 2 open(ax2_sk3(A)) # label(o2_19) # label(axiom). [assumption].
% 1.26/1.60 8 -inner_point(A,B) | -end_point(A,B) # label(inner_point_defn_22) # label(axiom). [assumption].
% 1.26/1.60 9 inner_point(ax0_sk8(A),A) # label(c3_37) # label(axiom). [assumption].
% 1.26/1.60 10 -inner_point(A,B) | incident_c(A,B) # label(inner_point_defn_21) # label(axiom). [assumption].
% 1.26/1.60 17 start_point(ax2_sk6(A),A) # label(o4_29) # label(axiom). [assumption].
% 1.26/1.60 21 -start_point(A,B) | A = C | -incident_o(C,B) | ordered_by(B,A,C) # label(start_point_defn_8) # label(axiom). [assumption].
% 1.26/1.60 53 -end_point(A,B) | incident_c(A,B) # label(end_point_defn_13) # label(axiom). [assumption].
% 1.26/1.60 59 -incident_c(A,ax2_sk3(B)) | incident_o(A,B) # label(o2_21) # label(axiom). [assumption].
% 1.26/1.61 60 -ordered_by(sk25,A,B) | A = B # label(theorem_4_11_133) # label(negated_conjecture). [assumption].
% 1.26/1.61 105 end_point(ax0_sk7(ax2_sk3(A)),ax2_sk3(A)). [resolve(1,a,2,a)].
% 1.26/1.61 117 -end_point(ax0_sk8(A),A). [resolve(8,a,9,a)].
% 1.26/1.61 118 incident_c(ax0_sk8(A),A). [resolve(10,a,9,a)].
% 1.26/1.61 134 ax2_sk6(A) = B | -incident_o(B,A) | ordered_by(A,ax2_sk6(A),B). [resolve(21,a,17,a)].
% 1.26/1.61 390 incident_c(ax0_sk7(ax2_sk3(A)),ax2_sk3(A)). [resolve(105,a,53,a)].
% 1.26/1.61 488 incident_o(ax0_sk8(ax2_sk3(A)),A). [resolve(118,a,59,a)].
% 1.26/1.61 703 ax0_sk8(ax2_sk3(A)) = ax2_sk6(A) | ordered_by(A,ax2_sk6(A),ax0_sk8(ax2_sk3(A))). [resolve(488,a,134,b),flip(a)].
% 1.26/1.61 750 incident_o(ax0_sk7(ax2_sk3(A)),A). [resolve(390,a,59,a)].
% 1.26/1.61 759 ax0_sk7(ax2_sk3(A)) = ax2_sk6(A) | ordered_by(A,ax2_sk6(A),ax0_sk7(ax2_sk3(A))). [resolve(750,a,134,b),flip(a)].
% 1.26/1.61 5313 ax0_sk8(ax2_sk3(sk25)) = ax2_sk6(sk25). [resolve(703,b,60,a),flip(b),merge(b)].
% 1.26/1.61 5314 -end_point(ax2_sk6(sk25),ax2_sk3(sk25)). [para(5313(a,1),117(a,1))].
% 1.26/1.61 6333 ax0_sk7(ax2_sk3(sk25)) = ax2_sk6(sk25). [resolve(759,b,60,a),flip(b),merge(b)].
% 1.26/1.61 6334 $F. [para(6333(a,1),105(a,1)),unit_del(a,5314)].
% 1.26/1.61
% 1.26/1.61 % SZS output end Refutation
% 1.26/1.61 ============================== end of proof ==========================
% 1.26/1.61
% 1.26/1.61 ============================== STATISTICS ============================
% 1.26/1.61
% 1.26/1.61 Given=627. Generated=11588. Kept=6269. proofs=1.
% 1.26/1.61 Usable=510. Sos=4518. Demods=8. Limbo=0, Disabled=1393. Hints=0.
% 1.26/1.61 Megabytes=7.97.
% 1.26/1.61 User_CPU=0.57, System_CPU=0.01, Wall_clock=1.
% 1.26/1.61
% 1.26/1.61 ============================== end of statistics =====================
% 1.26/1.61
% 1.26/1.61 ============================== end of search =========================
% 1.26/1.61
% 1.26/1.61 THEOREM PROVED
% 1.26/1.61 % SZS status Unsatisfiable
% 1.26/1.61
% 1.26/1.61 Exiting with 1 proof.
% 1.26/1.61
% 1.26/1.61 Process 5850 exit (max_proofs) Sat Jun 18 04:13:35 2022
% 1.26/1.61 Prover9 interrupted
%------------------------------------------------------------------------------