TSTP Solution File: GEO086-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO086-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.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 05:53:52 EDT 2022
% Result : Unsatisfiable 0.46s 1.03s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO086-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 23:19:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.46/1.03 ============================== Prover9 ===============================
% 0.46/1.03 Prover9 (32) version 2009-11A, November 2009.
% 0.46/1.03 Process 30833 was started by sandbox2 on n029.cluster.edu,
% 0.46/1.03 Fri Jun 17 23:19:44 2022
% 0.46/1.03 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_30574_n029.cluster.edu".
% 0.46/1.03 ============================== end of head ===========================
% 0.46/1.03
% 0.46/1.03 ============================== INPUT =================================
% 0.46/1.03
% 0.46/1.03 % Reading from file /tmp/Prover9_30574_n029.cluster.edu
% 0.46/1.03
% 0.46/1.03 set(prolog_style_variables).
% 0.46/1.03 set(auto2).
% 0.46/1.03 % set(auto2) -> set(auto).
% 0.46/1.03 % set(auto) -> set(auto_inference).
% 0.46/1.03 % set(auto) -> set(auto_setup).
% 0.46/1.03 % set(auto_setup) -> set(predicate_elim).
% 0.46/1.03 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/1.03 % set(auto) -> set(auto_limits).
% 0.46/1.03 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/1.03 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/1.03 % set(auto) -> set(auto_denials).
% 0.46/1.03 % set(auto) -> set(auto_process).
% 0.46/1.03 % set(auto2) -> assign(new_constants, 1).
% 0.46/1.03 % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/1.03 % set(auto2) -> assign(max_weight, "200.000").
% 0.46/1.03 % set(auto2) -> assign(max_hours, 1).
% 0.46/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/1.03 % set(auto2) -> assign(max_seconds, 0).
% 0.46/1.03 % set(auto2) -> assign(max_minutes, 5).
% 0.46/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/1.03 % set(auto2) -> set(sort_initial_sos).
% 0.46/1.03 % set(auto2) -> assign(sos_limit, -1).
% 0.46/1.03 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/1.03 % set(auto2) -> assign(max_megs, 400).
% 0.46/1.03 % set(auto2) -> assign(stats, some).
% 0.46/1.03 % set(auto2) -> clear(echo_input).
% 0.46/1.03 % set(auto2) -> set(quiet).
% 0.46/1.03 % set(auto2) -> clear(print_initial_clauses).
% 0.46/1.03 % set(auto2) -> clear(print_given).
% 0.46/1.03 assign(lrs_ticks,-1).
% 0.46/1.03 assign(sos_limit,10000).
% 0.46/1.03 assign(order,kbo).
% 0.46/1.03 set(lex_order_vars).
% 0.46/1.03 clear(print_given).
% 0.46/1.03
% 0.46/1.03 % formulas(sos). % not echoed (51 formulas)
% 0.46/1.03
% 0.46/1.03 ============================== end of input ==========================
% 0.46/1.03
% 0.46/1.03 % From the command line: assign(max_seconds, 300).
% 0.46/1.03
% 0.46/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/1.03
% 0.46/1.03 % Formulas that are not ordinary clauses:
% 0.46/1.03
% 0.46/1.03 ============================== end of process non-clausal formulas ===
% 0.46/1.03
% 0.46/1.03 ============================== PROCESS INITIAL CLAUSES ===============
% 0.46/1.03
% 0.46/1.03 ============================== PREDICATE ELIMINATION =================
% 0.46/1.03 1 -inner_point(A,B) | -end_point(A,B) # label(inner_point_defn_22) # label(axiom). [assumption].
% 0.46/1.03 2 inner_point(ax0_sk8(A),A) # label(c3_37) # label(axiom). [assumption].
% 0.46/1.03 Derived: -end_point(ax0_sk8(A),A). [resolve(1,a,2,a)].
% 0.46/1.03 3 -inner_point(A,B) | incident_c(A,B) # label(inner_point_defn_21) # label(axiom). [assumption].
% 0.46/1.03 Derived: incident_c(ax0_sk8(A),A). [resolve(3,a,2,a)].
% 0.46/1.03 4 -incident_c(A,B) | end_point(A,B) | inner_point(A,B) # label(inner_point_defn_23) # label(axiom). [assumption].
% 0.46/1.03 5 -inner_point(A,B) | meet(A,ax0_sk9(A,B),ax0_sk10(A,B)) # label(c4_38) # label(axiom). [assumption].
% 0.46/1.03 Derived: meet(ax0_sk8(A),ax0_sk9(ax0_sk8(A),A),ax0_sk10(ax0_sk8(A),A)). [resolve(5,a,2,a)].
% 0.46/1.03 Derived: meet(A,ax0_sk9(A,B),ax0_sk10(A,B)) | -incident_c(A,B) | end_point(A,B). [resolve(5,a,4,c)].
% 0.46/1.03 6 -inner_point(A,B) | B = sum(ax0_sk9(A,B),ax0_sk10(A,B)) # label(c4_39) # label(axiom). [assumption].
% 0.46/1.03 Derived: A = sum(ax0_sk9(ax0_sk8(A),A),ax0_sk10(ax0_sk8(A),A)). [resolve(6,a,2,a)].
% 0.46/1.03 Derived: A = sum(ax0_sk9(B,A),ax0_sk10(B,A)) | -incident_c(B,A) | end_point(B,A). [resolve(6,a,4,c)].
% 0.46/1.03 7 -closed(A) | -end_point(B,A) # label(closed_defn_31) # label(axiom). [assumption].
% 0.46/1.03 8 end_point(ax0_sk6(A),A) | closed(A) # label(closed_defn_32) # label(axiom). [assumption].
% 0.46/1.03 Derived: -end_point(A,B) | end_point(ax0_sk6(B),B). [resolve(7,a,8,b)].
% 0.46/1.03 9 -closed(A) | -meet(B,C,D) | A != sum(C,D) | -end_point(E,C) | meet(E,C,D) # label(c7_43) # label(axiom). [assumption].
% 0.46/1.03 Derived: -meet(A,B,C) | D != sum(B,C) | -end_point(E,B) | meet(E,B,C) | end_point(ax0_sk6(D),D). [resolve(9,a,8,b)].
% 0.46/1.03
% 0.46/1.03 ============================== end predicate elimination =============
% 0.46/1.03
% 0.46/1.03 Auto_denials: (non-Horn, no changes).
% 0.46/1.03
% 0.46/1.03 Term ordering decisions:
% 0.46/1.03 Function symbol KB weights: sk14=1. sk15=1. sum=1. ax0_sk13=1. ax0_sk10=1. ax0_sk3=1. ax0_sk4=1. ax0_sk9=1. ax0_sk1=1. ax0_sk11=1. ax0_sk12=1. ax0_sk8=1. ax0_sk6=1. ax0_sk7=1. ax0_sk2=1. ax0_sk5=1.
% 0.46/1.03
% 0.46/1.03 ============================== end of process initial clauses ========
% 0.46/1.03
% 0.46/1.03 ============================== CLAUSES FOR SEARCH ====================
% 0.46/1.03
% 0.46/1.03 ============================== end of clauses for search =============
% 0.46/1.03
% 0.46/1.03 ============================== SEARCH ================================
% 0.46/1.03
% 0.46/1.03 % Starting search at 0.02 seconds.
% 0.46/1.03
% 0.46/1.03 ============================== PROOF =================================
% 0.46/1.03 % SZS status Unsatisfiable
% 0.46/1.03 % SZS output start Refutation
% 0.46/1.03
% 0.46/1.03 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.46/1.03 % Length of proof is 11.
% 0.46/1.03 % Level of proof is 3.
% 0.46/1.03 % Maximum clause weight is 8.000.
% 0.46/1.03 % Given clauses 14.
% 0.46/1.03
% 0.46/1.03 10 open(sk14) # label(theorem_2_7_2_67) # label(negated_conjecture). [assumption].
% 0.46/1.03 11 part_of(sk15,sk14) # label(theorem_2_7_2_68) # label(negated_conjecture). [assumption].
% 0.46/1.03 16 -open(sk15) # label(theorem_2_7_2_69) # label(negated_conjecture). [assumption].
% 0.46/1.03 19 -end_point(A,B) | open(B) # label(open_defn_34) # label(axiom). [assumption].
% 0.46/1.03 21 -open(A) | end_point(ax0_sk7(A),A) # label(open_defn_33) # label(axiom). [assumption].
% 0.46/1.03 25 -part_of(A,B) | A = B | open(A) # label(c1_35) # label(axiom). [assumption].
% 0.46/1.03 81 -end_point(A,sk15). [ur(19,b,16,a)].
% 0.46/1.03 82 end_point(ax0_sk7(sk14),sk14). [resolve(21,a,10,a)].
% 0.46/1.03 84 sk15 = sk14. [resolve(25,a,11,a),unit_del(b,16)].
% 0.46/1.03 85 -end_point(A,sk14). [back_rewrite(81),rewrite([84(1)])].
% 0.46/1.03 86 $F. [resolve(85,a,82,a)].
% 0.46/1.03
% 0.46/1.03 % SZS output end Refutation
% 0.46/1.03 ============================== end of proof ==========================
% 0.46/1.03
% 0.46/1.03 ============================== STATISTICS ============================
% 0.46/1.03
% 0.46/1.03 Given=14. Generated=107. Kept=63. proofs=1.
% 0.46/1.03 Usable=14. Sos=45. Demods=2. Limbo=1, Disabled=61. Hints=0.
% 0.46/1.03 Megabytes=0.12.
% 0.46/1.03 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.46/1.03
% 0.46/1.03 ============================== end of statistics =====================
% 0.46/1.03
% 0.46/1.03 ============================== end of search =========================
% 0.46/1.03
% 0.46/1.03 THEOREM PROVED
% 0.46/1.03 % SZS status Unsatisfiable
% 0.46/1.03
% 0.46/1.03 Exiting with 1 proof.
% 0.46/1.03
% 0.46/1.03 Process 30833 exit (max_proofs) Fri Jun 17 23:19:44 2022
% 0.46/1.03 Prover9 interrupted
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