TSTP Solution File: GEO180+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 05:54:40 EDT 2022
% Result : Theorem 0.71s 0.98s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 18 04:12:47 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.71/0.97 ============================== Prover9 ===============================
% 0.71/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.71/0.97 Process 7591 was started by sandbox2 on n018.cluster.edu,
% 0.71/0.97 Sat Jun 18 04:12:48 2022
% 0.71/0.97 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_7438_n018.cluster.edu".
% 0.71/0.97 ============================== end of head ===========================
% 0.71/0.97
% 0.71/0.97 ============================== INPUT =================================
% 0.71/0.97
% 0.71/0.97 % Reading from file /tmp/Prover9_7438_n018.cluster.edu
% 0.71/0.97
% 0.71/0.97 set(prolog_style_variables).
% 0.71/0.97 set(auto2).
% 0.71/0.97 % set(auto2) -> set(auto).
% 0.71/0.97 % set(auto) -> set(auto_inference).
% 0.71/0.97 % set(auto) -> set(auto_setup).
% 0.71/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.71/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.71/0.97 % set(auto) -> set(auto_limits).
% 0.71/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.71/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.71/0.97 % set(auto) -> set(auto_denials).
% 0.71/0.97 % set(auto) -> set(auto_process).
% 0.71/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.71/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.71/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.71/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.71/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.71/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.71/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.71/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.71/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.71/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.71/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.71/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.71/0.97 % set(auto2) -> assign(stats, some).
% 0.71/0.97 % set(auto2) -> clear(echo_input).
% 0.71/0.97 % set(auto2) -> set(quiet).
% 0.71/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.71/0.97 % set(auto2) -> clear(print_given).
% 0.71/0.97 assign(lrs_ticks,-1).
% 0.71/0.97 assign(sos_limit,10000).
% 0.71/0.97 assign(order,kbo).
% 0.71/0.97 set(lex_order_vars).
% 0.71/0.97 clear(print_given).
% 0.71/0.97
% 0.71/0.97 % formulas(sos). % not echoed (15 formulas)
% 0.71/0.97
% 0.71/0.97 ============================== end of input ==========================
% 0.71/0.97
% 0.71/0.97 % From the command line: assign(max_seconds, 300).
% 0.71/0.97
% 0.71/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.71/0.97
% 0.71/0.97 % Formulas that are not ordinary clauses:
% 0.71/0.97 1 (all X -distinct_points(X,X)) # label(apart1) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 2 (all X -distinct_lines(X,X)) # label(apart2) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 3 (all X -convergent_lines(X,X)) # label(apart3) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 4 (all X all Y all Z (distinct_points(X,Y) -> distinct_points(X,Z) | distinct_points(Y,Z))) # label(apart4) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 5 (all X all Y all Z (distinct_lines(X,Y) -> distinct_lines(X,Z) | distinct_lines(Y,Z))) # label(apart5) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 6 (all X all Y all Z (convergent_lines(X,Y) -> convergent_lines(X,Z) | convergent_lines(Y,Z))) # label(ax6) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 7 (all X all Y (distinct_points(X,Y) -> -apart_point_and_line(X,line_connecting(X,Y)))) # label(ci1) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 8 (all X all Y (distinct_points(X,Y) -> -apart_point_and_line(Y,line_connecting(X,Y)))) # label(ci2) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 9 (all X all Y (convergent_lines(X,Y) -> -apart_point_and_line(intersection_point(X,Y),X))) # label(ci3) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 10 (all X all Y (convergent_lines(X,Y) -> -apart_point_and_line(intersection_point(X,Y),Y))) # label(ci4) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 11 (all X all Y all U all V (distinct_points(X,Y) & distinct_lines(U,V) -> apart_point_and_line(X,U) | apart_point_and_line(X,V) | apart_point_and_line(Y,U) | apart_point_and_line(Y,V))) # label(cu1) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 12 (all X all Y all Z (apart_point_and_line(X,Y) -> distinct_points(X,Z) | apart_point_and_line(Z,Y))) # label(ceq1) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 13 (all X all Y all Z (apart_point_and_line(X,Y) -> distinct_lines(Y,Z) | apart_point_and_line(X,Z))) # label(ceq2) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.98 14 (all X all Y all Z (convergent_lines(X,Y) -> distinct_lines(Y,Z) | convergent_lines(X,Z))) # label(ceq3) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.98 15 -(all X all Y all Z (distinct_points(X,Y) -> (apart_point_and_line(Z,line_connecting(X,Y)) -> apart_point_and_line(X,line_connecting(Z,Y))))) # label(con) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.71/0.98
% 0.71/0.98 ============================== end of process non-clausal formulas ===
% 0.71/0.98
% 0.71/0.98 ============================== PROCESS INITIAL CLAUSES ===============
% 0.71/0.98
% 0.71/0.98 ============================== PREDICATE ELIMINATION =================
% 0.71/0.98
% 0.71/0.98 ============================== end predicate elimination =============
% 0.71/0.98
% 0.71/0.98 Auto_denials: (non-Horn, no changes).
% 0.71/0.98
% 0.71/0.98 Term ordering decisions:
% 0.71/0.98 Function symbol KB weights: c1=1. c2=1. c3=1. line_connecting=1. intersection_point=1.
% 0.71/0.98
% 0.71/0.98 ============================== end of process initial clauses ========
% 0.71/0.98
% 0.71/0.98 ============================== CLAUSES FOR SEARCH ====================
% 0.71/0.98
% 0.71/0.98 ============================== end of clauses for search =============
% 0.71/0.98
% 0.71/0.98 ============================== SEARCH ================================
% 0.71/0.98
% 0.71/0.98 % Starting search at 0.01 seconds.
% 0.71/0.98
% 0.71/0.98 ============================== PROOF =================================
% 0.71/0.98 % SZS status Theorem
% 0.71/0.98 % SZS output start Refutation
% 0.71/0.98
% 0.71/0.98 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.71/0.98 % Length of proof is 38.
% 0.71/0.98 % Level of proof is 10.
% 0.71/0.98 % Maximum clause weight is 18.000.
% 0.71/0.98 % Given clauses 59.
% 0.71/0.98
% 0.71/0.98 1 (all X -distinct_points(X,X)) # label(apart1) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.98 4 (all X all Y all Z (distinct_points(X,Y) -> distinct_points(X,Z) | distinct_points(Y,Z))) # label(apart4) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.98 7 (all X all Y (distinct_points(X,Y) -> -apart_point_and_line(X,line_connecting(X,Y)))) # label(ci1) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.98 8 (all X all Y (distinct_points(X,Y) -> -apart_point_and_line(Y,line_connecting(X,Y)))) # label(ci2) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.98 11 (all X all Y all U all V (distinct_points(X,Y) & distinct_lines(U,V) -> apart_point_and_line(X,U) | apart_point_and_line(X,V) | apart_point_and_line(Y,U) | apart_point_and_line(Y,V))) # label(cu1) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.98 12 (all X all Y all Z (apart_point_and_line(X,Y) -> distinct_points(X,Z) | apart_point_and_line(Z,Y))) # label(ceq1) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.98 13 (all X all Y all Z (apart_point_and_line(X,Y) -> distinct_lines(Y,Z) | apart_point_and_line(X,Z))) # label(ceq2) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.98 15 -(all X all Y all Z (distinct_points(X,Y) -> (apart_point_and_line(Z,line_connecting(X,Y)) -> apart_point_and_line(X,line_connecting(Z,Y))))) # label(con) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.71/0.98 16 distinct_points(c1,c2) # label(con) # label(negated_conjecture). [clausify(15)].
% 0.71/0.98 17 apart_point_and_line(c3,line_connecting(c1,c2)) # label(con) # label(negated_conjecture). [clausify(15)].
% 0.71/0.98 18 -distinct_points(A,A) # label(apart1) # label(axiom). [clausify(1)].
% 0.71/0.98 21 -apart_point_and_line(c1,line_connecting(c3,c2)) # label(con) # label(negated_conjecture). [clausify(15)].
% 0.71/0.98 22 -distinct_points(A,B) | -apart_point_and_line(A,line_connecting(A,B)) # label(ci1) # label(axiom). [clausify(7)].
% 0.71/0.98 23 -distinct_points(A,B) | -apart_point_and_line(B,line_connecting(A,B)) # label(ci2) # label(axiom). [clausify(8)].
% 0.71/0.98 26 -distinct_points(A,B) | distinct_points(A,C) | distinct_points(B,C) # label(apart4) # label(axiom). [clausify(4)].
% 0.71/0.98 29 -apart_point_and_line(A,B) | distinct_points(A,C) | apart_point_and_line(C,B) # label(ceq1) # label(axiom). [clausify(12)].
% 0.71/0.98 30 -apart_point_and_line(A,B) | distinct_lines(B,C) | apart_point_and_line(A,C) # label(ceq2) # label(axiom). [clausify(13)].
% 0.71/0.98 32 -distinct_points(A,B) | -distinct_lines(C,D) | apart_point_and_line(A,C) | apart_point_and_line(A,D) | apart_point_and_line(B,C) | apart_point_and_line(B,D) # label(cu1) # label(axiom). [clausify(11)].
% 0.71/0.98 33 -apart_point_and_line(c1,line_connecting(c1,c2)). [resolve(22,a,16,a)].
% 0.71/0.98 34 -apart_point_and_line(c2,line_connecting(c1,c2)). [resolve(23,a,16,a)].
% 0.71/0.98 35 distinct_points(c1,A) | distinct_points(c2,A). [resolve(26,a,16,a)].
% 0.71/0.98 36 distinct_points(c3,A) | apart_point_and_line(A,line_connecting(c1,c2)). [resolve(29,a,17,a)].
% 0.71/0.98 37 distinct_lines(line_connecting(c1,c2),A) | apart_point_and_line(c3,A). [resolve(30,a,17,a)].
% 0.71/0.98 38 -distinct_lines(A,B) | apart_point_and_line(c1,A) | apart_point_and_line(c1,B) | apart_point_and_line(c2,A) | apart_point_and_line(c2,B). [resolve(32,a,16,a)].
% 0.71/0.98 39 distinct_points(c1,A) | -distinct_lines(B,C) | apart_point_and_line(c2,B) | apart_point_and_line(c2,C) | apart_point_and_line(A,B) | apart_point_and_line(A,C). [resolve(35,b,32,a)].
% 0.71/0.98 40 distinct_points(c1,A) | distinct_points(c2,B) | distinct_points(A,B). [resolve(35,b,26,a)].
% 0.71/0.98 43 distinct_points(c2,c1). [factor(40,a,c),unit_del(a,18)].
% 0.71/0.98 44 -apart_point_and_line(c1,line_connecting(c2,c1)). [resolve(43,a,23,a)].
% 0.71/0.98 45 -apart_point_and_line(c2,line_connecting(c2,c1)). [resolve(43,a,22,a)].
% 0.71/0.98 48 apart_point_and_line(A,line_connecting(c1,c2)) | -apart_point_and_line(A,line_connecting(c3,A)). [resolve(36,a,23,a)].
% 0.71/0.98 49 apart_point_and_line(A,line_connecting(c1,c2)) | -apart_point_and_line(c3,line_connecting(c3,A)). [resolve(36,a,22,a)].
% 0.71/0.98 52 -distinct_lines(line_connecting(c1,c2),line_connecting(c2,c1)). [ur(38,b,33,a,c,44,a,d,34,a,e,45,a)].
% 0.71/0.98 54 apart_point_and_line(c3,line_connecting(c2,c1)). [resolve(52,a,37,a)].
% 0.71/0.98 57 distinct_lines(line_connecting(c2,c1),A) | apart_point_and_line(c3,A). [resolve(54,a,30,a)].
% 0.71/0.98 103 -apart_point_and_line(c2,line_connecting(c3,c2)). [ur(48,a,34,a)].
% 0.71/0.98 105 -distinct_lines(line_connecting(c2,c1),line_connecting(c3,c2)). [ur(39,a,18,a,c,45,a,d,103,a,e,44,a,f,21,a)].
% 0.71/0.98 109 apart_point_and_line(c3,line_connecting(c3,c2)). [resolve(105,a,57,a)].
% 0.71/0.98 126 $F. [resolve(49,b,109,a),unit_del(a,34)].
% 0.71/0.98
% 0.71/0.98 % SZS output end Refutation
% 0.71/0.98 ============================== end of proof ==========================
% 0.71/0.98
% 0.71/0.98 ============================== STATISTICS ============================
% 0.71/0.98
% 0.71/0.98 Given=59. Generated=399. Kept=110. proofs=1.
% 0.71/0.98 Usable=59. Sos=51. Demods=0. Limbo=0, Disabled=17. Hints=0.
% 0.71/0.98 Megabytes=0.12.
% 0.71/0.98 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.71/0.98
% 0.71/0.98 ============================== end of statistics =====================
% 0.71/0.98
% 0.71/0.98 ============================== end of search =========================
% 0.71/0.98
% 0.71/0.98 THEOREM PROVED
% 0.71/0.98 % SZS status Theorem
% 0.71/0.98
% 0.71/0.98 Exiting with 1 proof.
% 0.71/0.98
% 0.71/0.98 Process 7591 exit (max_proofs) Sat Jun 18 04:12:48 2022
% 0.71/0.98 Prover9 interrupted
%------------------------------------------------------------------------------