TSTP Solution File: GEO190+2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO190+2 : TPTP v8.1.0. Released v3.3.0.
% 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 05:54:48 EDT 2022
% Result : Theorem 0.43s 0.75s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO190+2 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.09 % 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 06:50:16 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.43/0.74 ============================== Prover9 ===============================
% 0.43/0.74 Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.74 Process 15204 was started by sandbox2 on n032.cluster.edu,
% 0.43/0.74 Sat Jun 18 06:50:17 2022
% 0.43/0.74 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_15050_n032.cluster.edu".
% 0.43/0.74 ============================== end of head ===========================
% 0.43/0.74
% 0.43/0.74 ============================== INPUT =================================
% 0.43/0.74
% 0.43/0.74 % Reading from file /tmp/Prover9_15050_n032.cluster.edu
% 0.43/0.74
% 0.43/0.74 set(prolog_style_variables).
% 0.43/0.74 set(auto2).
% 0.43/0.74 % set(auto2) -> set(auto).
% 0.43/0.74 % set(auto) -> set(auto_inference).
% 0.43/0.74 % set(auto) -> set(auto_setup).
% 0.43/0.74 % set(auto_setup) -> set(predicate_elim).
% 0.43/0.74 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.74 % set(auto) -> set(auto_limits).
% 0.43/0.74 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.74 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.74 % set(auto) -> set(auto_denials).
% 0.43/0.74 % set(auto) -> set(auto_process).
% 0.43/0.74 % set(auto2) -> assign(new_constants, 1).
% 0.43/0.74 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.74 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.74 % set(auto2) -> assign(max_hours, 1).
% 0.43/0.74 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.74 % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.74 % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.74 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.74 % set(auto2) -> set(sort_initial_sos).
% 0.43/0.74 % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.74 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.74 % set(auto2) -> assign(max_megs, 400).
% 0.43/0.74 % set(auto2) -> assign(stats, some).
% 0.43/0.74 % set(auto2) -> clear(echo_input).
% 0.43/0.74 % set(auto2) -> set(quiet).
% 0.43/0.74 % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.74 % set(auto2) -> clear(print_given).
% 0.43/0.74 assign(lrs_ticks,-1).
% 0.43/0.74 assign(sos_limit,10000).
% 0.43/0.74 assign(order,kbo).
% 0.43/0.74 set(lex_order_vars).
% 0.43/0.74 clear(print_given).
% 0.43/0.74
% 0.43/0.74 % formulas(sos). % not echoed (13 formulas)
% 0.43/0.74
% 0.43/0.74 ============================== end of input ==========================
% 0.43/0.74
% 0.43/0.74 % From the command line: assign(max_seconds, 300).
% 0.43/0.74
% 0.43/0.74 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.74
% 0.43/0.74 % Formulas that are not ordinary clauses:
% 0.43/0.74 1 (all X -distinct_points(X,X)) # label(apart1) # label(axiom) # label(non_clause). [assumption].
% 0.43/0.74 2 (all X -distinct_lines(X,X)) # label(apart2) # label(axiom) # label(non_clause). [assumption].
% 0.43/0.74 3 (all X -convergent_lines(X,X)) # label(apart3) # label(axiom) # label(non_clause). [assumption].
% 0.43/0.74 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].
% 0.43/0.74 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].
% 0.43/0.74 6 (all X all Y all Z (convergent_lines(X,Y) -> convergent_lines(X,Z) | convergent_lines(Y,Z))) # label(apart6) # label(axiom) # label(non_clause). [assumption].
% 0.43/0.74 7 (all X all Y all Z (distinct_points(X,Y) -> (apart_point_and_line(Z,line_connecting(X,Y)) -> distinct_points(Z,X) & distinct_points(Z,Y)))) # label(con1) # label(axiom) # label(non_clause). [assumption].
% 0.43/0.74 8 (all X all Y all Z (convergent_lines(X,Y) -> (apart_point_and_line(Z,X) | apart_point_and_line(Z,Y) -> distinct_points(Z,intersection_point(X,Y))))) # label(con2) # label(axiom) # label(non_clause). [assumption].
% 0.43/0.74 9 (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].
% 0.43/0.74 10 (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].
% 0.43/0.74 11 (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].
% 0.43/0.74 12 (all X all Y (convergent_lines(X,Y) -> distinct_lines(X,Y))) # label(ceq3) # label(axiom) # label(non_clause). [assumption].
% 0.43/0.74 13 -(all X all Y all Z (distinct_points(X,Y) & distinct_points(X,Z) & distinct_points(Y,Z) & -apart_point_and_line(Z,line_connecting(X,Y)) -> -apart_point_and_line(Z,line_connecting(Y,X)))) # label(con) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.43/0.75
% 0.43/0.75 ============================== end of process non-clausal formulas ===
% 0.43/0.75
% 0.43/0.75 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.75
% 0.43/0.75 ============================== PREDICATE ELIMINATION =================
% 0.43/0.75
% 0.43/0.75 ============================== end predicate elimination =============
% 0.43/0.75
% 0.43/0.75 Auto_denials: (non-Horn, no changes).
% 0.43/0.75
% 0.43/0.75 Term ordering decisions:
% 0.43/0.75 Function symbol KB weights: c1=1. c2=1. c3=1. line_connecting=1. intersection_point=1.
% 0.43/0.75
% 0.43/0.75 ============================== end of process initial clauses ========
% 0.43/0.75
% 0.43/0.75 ============================== CLAUSES FOR SEARCH ====================
% 0.43/0.75
% 0.43/0.75 ============================== end of clauses for search =============
% 0.43/0.75
% 0.43/0.75 ============================== SEARCH ================================
% 0.43/0.75
% 0.43/0.75 % Starting search at 0.01 seconds.
% 0.43/0.75
% 0.43/0.75 ============================== PROOF =================================
% 0.43/0.75 % SZS status Theorem
% 0.43/0.75 % SZS output start Refutation
% 0.43/0.75
% 0.43/0.75 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.43/0.75 % Length of proof is 33.
% 0.43/0.75 % Level of proof is 8.
% 0.43/0.75 % Maximum clause weight is 22.000.
% 0.43/0.75 % Given clauses 74.
% 0.43/0.75
% 0.43/0.75 1 (all X -distinct_points(X,X)) # label(apart1) # label(axiom) # label(non_clause). [assumption].
% 0.43/0.75 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].
% 0.43/0.75 7 (all X all Y all Z (distinct_points(X,Y) -> (apart_point_and_line(Z,line_connecting(X,Y)) -> distinct_points(Z,X) & distinct_points(Z,Y)))) # label(con1) # label(axiom) # label(non_clause). [assumption].
% 0.43/0.75 9 (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].
% 0.43/0.75 11 (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].
% 0.43/0.75 13 -(all X all Y all Z (distinct_points(X,Y) & distinct_points(X,Z) & distinct_points(Y,Z) & -apart_point_and_line(Z,line_connecting(X,Y)) -> -apart_point_and_line(Z,line_connecting(Y,X)))) # label(con) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.43/0.75 14 distinct_points(c1,c2) # label(con) # label(negated_conjecture). [clausify(13)].
% 0.43/0.75 16 distinct_points(c2,c3) # label(con) # label(negated_conjecture). [clausify(13)].
% 0.43/0.75 17 apart_point_and_line(c3,line_connecting(c2,c1)) # label(con) # label(negated_conjecture). [clausify(13)].
% 0.43/0.75 18 -distinct_points(A,A) # label(apart1) # label(axiom). [clausify(1)].
% 0.43/0.75 21 -apart_point_and_line(c3,line_connecting(c1,c2)) # label(con) # label(negated_conjecture). [clausify(13)].
% 0.43/0.75 23 -distinct_points(A,B) | distinct_points(A,C) | distinct_points(B,C) # label(apart4) # label(axiom). [clausify(4)].
% 0.43/0.75 27 -apart_point_and_line(A,B) | distinct_lines(B,C) | apart_point_and_line(A,C) # label(ceq2) # label(axiom). [clausify(11)].
% 0.43/0.75 28 -distinct_points(A,B) | -apart_point_and_line(C,line_connecting(A,B)) | distinct_points(C,A) # label(con1) # label(axiom). [clausify(7)].
% 0.43/0.75 29 -distinct_points(A,B) | -apart_point_and_line(C,line_connecting(A,B)) | distinct_points(C,B) # label(con1) # label(axiom). [clausify(7)].
% 0.43/0.75 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(9)].
% 0.43/0.75 33 distinct_points(c2,A) | distinct_points(c3,A). [resolve(23,a,16,a)].
% 0.43/0.75 35 distinct_points(c1,A) | distinct_points(c2,A). [resolve(23,a,14,a)].
% 0.43/0.75 37 distinct_lines(line_connecting(c2,c1),A) | apart_point_and_line(c3,A). [resolve(27,a,17,a)].
% 0.43/0.75 41 -apart_point_and_line(c1,line_connecting(c1,c2)). [ur(28,a,14,a,c,18,a)].
% 0.43/0.75 45 -apart_point_and_line(c2,line_connecting(c1,c2)). [ur(29,a,14,a,c,18,a)].
% 0.43/0.75 46 distinct_points(c2,A) | distinct_points(c3,B) | distinct_points(A,B). [resolve(33,b,23,a)].
% 0.43/0.75 47 distinct_points(c3,c2). [factor(46,a,c),unit_del(a,18)].
% 0.43/0.75 48 -apart_point_and_line(c2,line_connecting(c3,c2)). [ur(29,a,47,a,c,18,a)].
% 0.43/0.75 49 -apart_point_and_line(c3,line_connecting(c3,c2)). [ur(28,a,47,a,c,18,a)].
% 0.43/0.75 54 distinct_points(c1,A) | distinct_points(c2,B) | distinct_points(A,B). [resolve(35,b,23,a)].
% 0.43/0.75 55 distinct_points(c2,c1). [factor(54,a,c),unit_del(a,18)].
% 0.43/0.75 66 -distinct_lines(line_connecting(c3,c2),line_connecting(c1,c2)). [ur(32,a,16,a,c,48,a,d,45,a,e,49,a,f,21,a)].
% 0.43/0.75 68 -apart_point_and_line(c1,line_connecting(c2,c1)). [ur(29,a,55,a,c,18,a)].
% 0.43/0.75 69 -apart_point_and_line(c2,line_connecting(c2,c1)). [ur(28,a,55,a,c,18,a)].
% 0.43/0.75 74 apart_point_and_line(c3,A) | -distinct_points(B,C) | apart_point_and_line(B,line_connecting(c2,c1)) | apart_point_and_line(B,A) | apart_point_and_line(C,line_connecting(c2,c1)) | apart_point_and_line(C,A). [resolve(37,a,32,b)].
% 0.43/0.75 132 -apart_point_and_line(c1,line_connecting(c3,c2)). [ur(27,b,66,a,c,41,a)].
% 0.43/0.75 167 $F. [ur(74,a,49,a,c,69,a,d,48,a,e,68,a,f,132,a),unit_del(a,55)].
% 0.43/0.75
% 0.43/0.75 % SZS output end Refutation
% 0.43/0.75 ============================== end of proof ==========================
% 0.43/0.75
% 0.43/0.75 ============================== STATISTICS ============================
% 0.43/0.75
% 0.43/0.75 Given=74. Generated=682. Kept=153. proofs=1.
% 0.43/0.75 Usable=74. Sos=58. Demods=0. Limbo=19, Disabled=21. Hints=0.
% 0.43/0.75 Megabytes=0.14.
% 0.43/0.75 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.43/0.75
% 0.43/0.75 ============================== end of statistics =====================
% 0.43/0.75
% 0.43/0.75 ============================== end of search =========================
% 0.43/0.75
% 0.43/0.75 THEOREM PROVED
% 0.43/0.75 % SZS status Theorem
% 0.43/0.75
% 0.43/0.75 Exiting with 1 proof.
% 0.43/0.75
% 0.43/0.75 Process 15204 exit (max_proofs) Sat Jun 18 06:50:17 2022
% 0.43/0.75 Prover9 interrupted
%------------------------------------------------------------------------------