TSTP Solution File: GEO084-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO084-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n011.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 05:53:51 EDT 2022
% Result : Unsatisfiable 1.12s 1.43s
% Output : Refutation 1.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO084-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 22:26:22 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.47/1.07 ============================== Prover9 ===============================
% 0.47/1.07 Prover9 (32) version 2009-11A, November 2009.
% 0.47/1.07 Process 13272 was started by sandbox2 on n011.cluster.edu,
% 0.47/1.07 Fri Jun 17 22:26:23 2022
% 0.47/1.07 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_13119_n011.cluster.edu".
% 0.47/1.07 ============================== end of head ===========================
% 0.47/1.07
% 0.47/1.07 ============================== INPUT =================================
% 0.47/1.07
% 0.47/1.07 % Reading from file /tmp/Prover9_13119_n011.cluster.edu
% 0.47/1.07
% 0.47/1.07 set(prolog_style_variables).
% 0.47/1.07 set(auto2).
% 0.47/1.07 % set(auto2) -> set(auto).
% 0.47/1.07 % set(auto) -> set(auto_inference).
% 0.47/1.07 % set(auto) -> set(auto_setup).
% 0.47/1.07 % set(auto_setup) -> set(predicate_elim).
% 0.47/1.07 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.47/1.07 % set(auto) -> set(auto_limits).
% 0.47/1.07 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.47/1.07 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.47/1.07 % set(auto) -> set(auto_denials).
% 0.47/1.07 % set(auto) -> set(auto_process).
% 0.47/1.07 % set(auto2) -> assign(new_constants, 1).
% 0.47/1.07 % set(auto2) -> assign(fold_denial_max, 3).
% 0.47/1.07 % set(auto2) -> assign(max_weight, "200.000").
% 0.47/1.07 % set(auto2) -> assign(max_hours, 1).
% 0.47/1.07 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.47/1.07 % set(auto2) -> assign(max_seconds, 0).
% 0.47/1.07 % set(auto2) -> assign(max_minutes, 5).
% 0.47/1.07 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.47/1.07 % set(auto2) -> set(sort_initial_sos).
% 0.47/1.07 % set(auto2) -> assign(sos_limit, -1).
% 0.47/1.07 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.47/1.07 % set(auto2) -> assign(max_megs, 400).
% 0.47/1.07 % set(auto2) -> assign(stats, some).
% 0.47/1.07 % set(auto2) -> clear(echo_input).
% 0.47/1.07 % set(auto2) -> set(quiet).
% 0.47/1.07 % set(auto2) -> clear(print_initial_clauses).
% 0.47/1.07 % set(auto2) -> clear(print_given).
% 0.47/1.07 assign(lrs_ticks,-1).
% 0.47/1.07 assign(sos_limit,10000).
% 0.47/1.07 assign(order,kbo).
% 0.47/1.07 set(lex_order_vars).
% 0.47/1.07 clear(print_given).
% 0.47/1.07
% 0.47/1.07 % formulas(sos). % not echoed (52 formulas)
% 0.47/1.07
% 0.47/1.07 ============================== end of input ==========================
% 0.47/1.07
% 0.47/1.07 % From the command line: assign(max_seconds, 300).
% 0.47/1.07
% 0.47/1.07 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.47/1.07
% 0.47/1.07 % Formulas that are not ordinary clauses:
% 0.47/1.07
% 0.47/1.07 ============================== end of process non-clausal formulas ===
% 0.47/1.07
% 0.47/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.47/1.07
% 0.47/1.07 ============================== PREDICATE ELIMINATION =================
% 0.47/1.07 1 -inner_point(A,B) | -end_point(A,B) # label(inner_point_defn_22) # label(axiom). [assumption].
% 0.47/1.07 2 inner_point(ax0_sk8(A),A) # label(c3_37) # label(axiom). [assumption].
% 0.47/1.07 Derived: -end_point(ax0_sk8(A),A). [resolve(1,a,2,a)].
% 0.47/1.07 3 -inner_point(A,B) | incident_c(A,B) # label(inner_point_defn_21) # label(axiom). [assumption].
% 0.47/1.07 Derived: incident_c(ax0_sk8(A),A). [resolve(3,a,2,a)].
% 0.47/1.07 4 -incident_c(A,B) | end_point(A,B) | inner_point(A,B) # label(inner_point_defn_23) # label(axiom). [assumption].
% 0.47/1.07 5 -inner_point(A,B) | meet(A,ax0_sk9(A,B),ax0_sk10(A,B)) # label(c4_38) # label(axiom). [assumption].
% 0.47/1.07 Derived: meet(ax0_sk8(A),ax0_sk9(ax0_sk8(A),A),ax0_sk10(ax0_sk8(A),A)). [resolve(5,a,2,a)].
% 0.47/1.07 Derived: meet(A,ax0_sk9(A,B),ax0_sk10(A,B)) | -incident_c(A,B) | end_point(A,B). [resolve(5,a,4,c)].
% 0.47/1.07 6 -inner_point(A,B) | B = sum(ax0_sk9(A,B),ax0_sk10(A,B)) # label(c4_39) # label(axiom). [assumption].
% 0.47/1.07 Derived: A = sum(ax0_sk9(ax0_sk8(A),A),ax0_sk10(ax0_sk8(A),A)). [resolve(6,a,2,a)].
% 0.47/1.07 Derived: A = sum(ax0_sk9(B,A),ax0_sk10(B,A)) | -incident_c(B,A) | end_point(B,A). [resolve(6,a,4,c)].
% 0.47/1.07 7 -closed(A) | -end_point(B,A) # label(closed_defn_31) # label(axiom). [assumption].
% 0.47/1.07 8 end_point(ax0_sk6(A),A) | closed(A) # label(closed_defn_32) # label(axiom). [assumption].
% 0.47/1.07 Derived: -end_point(A,B) | end_point(ax0_sk6(B),B). [resolve(7,a,8,b)].
% 0.47/1.07 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].
% 0.47/1.07 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)].
% 0.47/1.07 10 -open(A) | end_point(ax0_sk7(A),A) # label(open_defn_33) # label(axiom). [assumption].
% 0.47/1.07 11 -end_point(A,B) | open(B) # label(open_defn_34) # label(axiom). [assumption].
% 1.12/1.43 Derived: end_point(ax0_sk7(A),A) | -end_point(B,A). [resolve(10,a,11,b)].
% 1.12/1.43 12 -part_of(A,B) | A = B | open(A) # label(c1_35) # label(axiom). [assumption].
% 1.12/1.43 Derived: -part_of(A,B) | A = B | end_point(ax0_sk7(A),A). [resolve(12,c,10,a)].
% 1.12/1.43
% 1.12/1.43 ============================== end predicate elimination =============
% 1.12/1.43
% 1.12/1.43 Auto_denials: (non-Horn, no changes).
% 1.12/1.43
% 1.12/1.43 Term ordering decisions:
% 1.12/1.43 Function symbol KB weights: sk14=1. sk15=1. sk16=1. sk17=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.
% 1.12/1.43
% 1.12/1.43 ============================== end of process initial clauses ========
% 1.12/1.43
% 1.12/1.43 ============================== CLAUSES FOR SEARCH ====================
% 1.12/1.43
% 1.12/1.43 ============================== end of clauses for search =============
% 1.12/1.43
% 1.12/1.43 ============================== SEARCH ================================
% 1.12/1.43
% 1.12/1.43 % Starting search at 0.02 seconds.
% 1.12/1.43
% 1.12/1.43 ============================== PROOF =================================
% 1.12/1.43 % SZS status Unsatisfiable
% 1.12/1.43 % SZS output start Refutation
% 1.12/1.43
% 1.12/1.43 % Proof 1 at 0.37 (+ 0.00) seconds.
% 1.12/1.43 % Length of proof is 14.
% 1.12/1.43 % Level of proof is 3.
% 1.12/1.43 % Maximum clause weight is 14.000.
% 1.12/1.43 % Given clauses 388.
% 1.12/1.43
% 1.12/1.43 13 part_of(sk14,sk16) # label(corollary_2_6_2_67) # label(negated_conjecture). [assumption].
% 1.12/1.43 14 part_of(sk15,sk16) # label(corollary_2_6_2_68) # label(negated_conjecture). [assumption].
% 1.12/1.43 16 incident_c(ax0_sk1(A,B),A) | part_of(A,B) # label(part_of_defn_2) # label(axiom). [assumption].
% 1.12/1.43 20 -part_of(sum(sk14,sk15),sk16) # label(corollary_2_6_2_70) # label(negated_conjecture). [assumption].
% 1.12/1.43 26 -incident_c(ax0_sk1(A,B),B) | part_of(A,B) # label(part_of_defn_3) # label(axiom). [assumption].
% 1.12/1.43 28 -part_of(A,B) | -incident_c(C,A) | incident_c(C,B) # label(part_of_defn_1) # label(axiom). [assumption].
% 1.12/1.43 43 A != sum(B,C) | -incident_c(D,A) | incident_c(D,B) | incident_c(D,C) # label(sum_defn_4) # label(axiom). [assumption].
% 1.12/1.43 44 sum(A,B) != C | -incident_c(D,C) | incident_c(D,A) | incident_c(D,B). [copy(43),flip(a)].
% 1.12/1.43 84 incident_c(ax0_sk1(sum(sk14,sk15),sk16),sum(sk14,sk15)). [resolve(20,a,16,b)].
% 1.12/1.43 87 -incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk16). [ur(26,b,20,a)].
% 1.12/1.43 89 -incident_c(A,sk15) | incident_c(A,sk16). [resolve(28,a,14,a)].
% 1.12/1.43 472 -incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk15). [ur(89,b,87,a)].
% 1.12/1.43 479 -incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk14). [ur(28,a,13,a,c,87,a)].
% 1.12/1.43 2853 $F. [ur(44,b,84,a,c,479,a,d,472,a),xx(a)].
% 1.12/1.43
% 1.12/1.43 % SZS output end Refutation
% 1.12/1.43 ============================== end of proof ==========================
% 1.12/1.43
% 1.12/1.43 ============================== STATISTICS ============================
% 1.12/1.43
% 1.12/1.43 Given=388. Generated=4884. Kept=2827. proofs=1.
% 1.12/1.43 Usable=360. Sos=2156. Demods=5. Limbo=6, Disabled=367. Hints=0.
% 1.12/1.43 Megabytes=2.71.
% 1.12/1.43 User_CPU=0.37, System_CPU=0.00, Wall_clock=0.
% 1.12/1.43
% 1.12/1.43 ============================== end of statistics =====================
% 1.12/1.43
% 1.12/1.43 ============================== end of search =========================
% 1.12/1.43
% 1.12/1.43 THEOREM PROVED
% 1.12/1.43 % SZS status Unsatisfiable
% 1.12/1.43
% 1.12/1.43 Exiting with 1 proof.
% 1.12/1.43
% 1.12/1.43 Process 13272 exit (max_proofs) Fri Jun 17 22:26:23 2022
% 1.12/1.43 Prover9 interrupted
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