TSTP Solution File: PUZ006-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : PUZ006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.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 : Mon Jul 18 18:23:49 EDT 2022
% Result : Unsatisfiable 0.75s 1.02s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n026.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 : Sun May 29 00:01:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.02 ============================== Prover9 ===============================
% 0.44/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.02 Process 14308 was started by sandbox2 on n026.cluster.edu,
% 0.44/1.02 Sun May 29 00:01:40 2022
% 0.44/1.02 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_14047_n026.cluster.edu".
% 0.44/1.02 ============================== end of head ===========================
% 0.44/1.02
% 0.44/1.02 ============================== INPUT =================================
% 0.44/1.02
% 0.44/1.02 % Reading from file /tmp/Prover9_14047_n026.cluster.edu
% 0.44/1.02
% 0.44/1.02 set(prolog_style_variables).
% 0.44/1.02 set(auto2).
% 0.44/1.02 % set(auto2) -> set(auto).
% 0.44/1.02 % set(auto) -> set(auto_inference).
% 0.44/1.02 % set(auto) -> set(auto_setup).
% 0.44/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.44/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.02 % set(auto) -> set(auto_limits).
% 0.44/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.02 % set(auto) -> set(auto_denials).
% 0.44/1.02 % set(auto) -> set(auto_process).
% 0.44/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.44/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.44/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.44/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.44/1.02 % set(auto2) -> assign(stats, some).
% 0.44/1.02 % set(auto2) -> clear(echo_input).
% 0.44/1.02 % set(auto2) -> set(quiet).
% 0.44/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.02 % set(auto2) -> clear(print_given).
% 0.44/1.02 assign(lrs_ticks,-1).
% 0.44/1.02 assign(sos_limit,10000).
% 0.44/1.02 assign(order,kbo).
% 0.44/1.02 set(lex_order_vars).
% 0.44/1.02 clear(print_given).
% 0.44/1.02
% 0.44/1.02 % formulas(sos). % not echoed (29 formulas)
% 0.44/1.02
% 0.44/1.02 ============================== end of input ==========================
% 0.44/1.02
% 0.44/1.02 % From the command line: assign(max_seconds, 300).
% 0.44/1.02
% 0.44/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.02
% 0.44/1.02 % Formulas that are not ordinary clauses:
% 0.44/1.02
% 0.44/1.02 ============================== end of process non-clausal formulas ===
% 0.44/1.02
% 0.44/1.02 ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.02
% 0.44/1.02 ============================== PREDICATE ELIMINATION =================
% 0.44/1.02 1 -liar(A) | -says(A,B) | -a_truth(B) # label(liars_make_false_statements) # label(axiom). [assumption].
% 0.44/1.02 2 says(ork,bog_is_from_venus) # label(ork_says_bog_is_from_venus) # label(hypothesis). [assumption].
% 0.44/1.02 3 says(bog,ork_is_from_mars) # label(bog_says_ork_is_from_mar) # label(hypothesis). [assumption].
% 0.44/1.02 4 says(ork,bog_is_male) # label(ork_says_bog_is_male) # label(hypothesis). [assumption].
% 0.44/1.02 5 says(bog,ork_is_female) # label(bog_says_ork_is_female) # label(hypothesis). [assumption].
% 0.44/1.02 Derived: -liar(ork) | -a_truth(bog_is_from_venus). [resolve(1,b,2,a)].
% 0.44/1.02 Derived: -liar(bog) | -a_truth(ork_is_from_mars). [resolve(1,b,3,a)].
% 0.44/1.02 Derived: -liar(ork) | -a_truth(bog_is_male). [resolve(1,b,4,a)].
% 0.44/1.02 Derived: -liar(bog) | -a_truth(ork_is_female). [resolve(1,b,5,a)].
% 0.44/1.02 6 -says(A,B) | a_truth(B) | -a_truth(B) # label(statements_are_true_or_not) # label(axiom). [assumption].
% 0.44/1.02 7 -says(A,B) | B = statement_by(A) # label(people_say_their_statements) # label(axiom). [assumption].
% 0.44/1.02 Derived: bog_is_from_venus = statement_by(ork). [resolve(7,a,2,a)].
% 0.44/1.02 Derived: ork_is_from_mars = statement_by(bog). [resolve(7,a,3,a)].
% 0.44/1.02 Derived: bog_is_male = statement_by(ork). [resolve(7,a,4,a)].
% 0.44/1.02 Derived: ork_is_female = statement_by(bog). [resolve(7,a,5,a)].
% 0.44/1.02 8 -truthteller(A) | -says(A,B) | a_truth(B) # label(truthtellers_make_true_statements) # label(axiom). [assumption].
% 0.44/1.02 Derived: -truthteller(ork) | a_truth(bog_is_from_venus). [resolve(8,b,2,a)].
% 0.44/1.02 Derived: -truthteller(bog) | a_truth(ork_is_from_mars). [resolve(8,b,3,a)].
% 0.44/1.02 Derived: -truthteller(ork) | a_truth(bog_is_male). [resolve(8,b,4,a)].
% 0.44/1.02 Derived: -truthteller(bog) | a_truth(ork_is_female). [resolve(8,b,5,a)].
% 0.44/1.02
% 0.44/1.02 ============================== end predicate elimination =============
% 0.44/1.02
% 0.44/1.02 Auto_denials: (non-Horn, no changes).
% 0.75/1.02
% 0.75/1.02 Term ordering decisions:
% 0.75/1.02
% 0.75/1.02 % Assigning unary symbol statement_by kb_weight 0 and highest precedence (15).
% 0.75/1.02 Function symbol KB weights: bog=1. ork=1. bog_is_from_venus=1. bog_is_male=1. ork_is_female=1. ork_is_from_mars=1. statement_by=0.
% 0.75/1.02
% 0.75/1.02 ============================== end of process initial clauses ========
% 0.75/1.02
% 0.75/1.02 ============================== CLAUSES FOR SEARCH ====================
% 0.75/1.02
% 0.75/1.02 ============================== end of clauses for search =============
% 0.75/1.02
% 0.75/1.02 ============================== SEARCH ================================
% 0.75/1.02
% 0.75/1.02 % Starting search at 0.01 seconds.
% 0.75/1.02
% 0.75/1.02 ============================== PROOF =================================
% 0.75/1.02 % SZS status Unsatisfiable
% 0.75/1.02 % SZS output start Refutation
% 0.75/1.02
% 0.75/1.02 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.75/1.02 % Length of proof is 39.
% 0.75/1.02 % Level of proof is 10.
% 0.75/1.02 % Maximum clause weight is 6.000.
% 0.75/1.02 % Given clauses 43.
% 0.75/1.02
% 0.75/1.02 1 -liar(A) | -says(A,B) | -a_truth(B) # label(liars_make_false_statements) # label(axiom). [assumption].
% 0.75/1.02 2 says(ork,bog_is_from_venus) # label(ork_says_bog_is_from_venus) # label(hypothesis). [assumption].
% 0.75/1.02 3 says(bog,ork_is_from_mars) # label(bog_says_ork_is_from_mar) # label(hypothesis). [assumption].
% 0.75/1.02 4 says(ork,bog_is_male) # label(ork_says_bog_is_male) # label(hypothesis). [assumption].
% 0.75/1.02 5 says(bog,ork_is_female) # label(bog_says_ork_is_female) # label(hypothesis). [assumption].
% 0.75/1.02 7 -says(A,B) | B = statement_by(A) # label(people_say_their_statements) # label(axiom). [assumption].
% 0.75/1.02 9 from_mars(A) | from_venus(A) # label(from_mars_or_venus) # label(axiom). [assumption].
% 0.75/1.02 10 male(A) | female(A) # label(male_or_female) # label(axiom). [assumption].
% 0.75/1.02 13 -female(bog) # label(prove_bog_is_female) # label(negated_conjecture). [assumption].
% 0.75/1.02 17 -a_truth(bog_is_from_venus) | from_venus(bog) # label(bog_is_from_venus1) # label(hypothesis). [assumption].
% 0.75/1.02 19 -a_truth(bog_is_male) | male(bog) # label(bog_is_male1) # label(hypothesis). [assumption].
% 0.75/1.02 22 -from_mars(ork) | a_truth(ork_is_from_mars) # label(ork_is_from_mars2) # label(hypothesis). [assumption].
% 0.75/1.02 23 -male(bog) | a_truth(bog_is_male) # label(bog_is_male2) # label(hypothesis). [assumption].
% 0.75/1.02 24 -female(ork) | a_truth(ork_is_female) # label(ork_is_female2) # label(hypothesis). [assumption].
% 0.75/1.02 27 -from_venus(A) | -male(A) | liar(A) # label(venusian_males_are_liars) # label(axiom). [assumption].
% 0.75/1.02 30 -liar(ork) | -a_truth(bog_is_from_venus). [resolve(1,b,2,a)].
% 0.75/1.02 33 -liar(bog) | -a_truth(ork_is_female). [resolve(1,b,5,a)].
% 0.75/1.02 34 bog_is_from_venus = statement_by(ork). [resolve(7,a,2,a)].
% 0.75/1.02 35 statement_by(ork) = bog_is_from_venus. [copy(34),flip(a)].
% 0.75/1.02 36 ork_is_from_mars = statement_by(bog). [resolve(7,a,3,a)].
% 0.75/1.02 37 statement_by(bog) = ork_is_from_mars. [copy(36),flip(a)].
% 0.75/1.02 38 bog_is_male = statement_by(ork). [resolve(7,a,4,a)].
% 0.75/1.02 39 bog_is_male = bog_is_from_venus. [copy(38),rewrite([35(3)])].
% 0.75/1.02 40 ork_is_female = statement_by(bog). [resolve(7,a,5,a)].
% 0.75/1.02 41 ork_is_from_mars = ork_is_female. [copy(40),rewrite([37(3)]),flip(a)].
% 0.75/1.02 46 -male(bog) | a_truth(bog_is_from_venus). [back_rewrite(23),rewrite([39(3)])].
% 0.75/1.02 47 -a_truth(bog_is_from_venus) | male(bog). [back_rewrite(19),rewrite([39(1)])].
% 0.75/1.02 49 -from_mars(ork) | a_truth(ork_is_female). [back_rewrite(22),rewrite([41(3)])].
% 0.75/1.02 54 -from_venus(A) | liar(A) | female(A). [resolve(27,b,10,a)].
% 0.75/1.02 58 a_truth(bog_is_from_venus). [resolve(46,a,10,a),unit_del(b,13)].
% 0.75/1.02 60 male(bog). [back_unit_del(47),unit_del(a,58)].
% 0.75/1.02 61 -liar(ork). [back_unit_del(30),unit_del(b,58)].
% 0.75/1.02 62 from_venus(bog). [back_unit_del(17),unit_del(a,58)].
% 0.75/1.02 64 liar(bog). [resolve(60,a,27,b),unit_del(a,62)].
% 0.75/1.02 65 -a_truth(ork_is_female). [back_unit_del(33),unit_del(a,64)].
% 0.75/1.02 66 -from_mars(ork). [back_unit_del(49),unit_del(b,65)].
% 0.75/1.02 68 -female(ork). [back_unit_del(24),unit_del(b,65)].
% 0.75/1.02 70 liar(A) | female(A) | from_mars(A). [resolve(54,a,9,b)].
% 0.75/1.02 72 $F. [resolve(70,a,61,a),unit_del(a,68),unit_del(b,66)].
% 0.75/1.02
% 0.75/1.02 % SZS output end Refutation
% 0.75/1.02 ============================== end of proof ==========================
% 0.75/1.02
% 0.75/1.02 ============================== STATISTICS ============================
% 0.75/1.02
% 0.75/1.02 Given=43. Generated=89. Kept=57. proofs=1.
% 0.75/1.02 Usable=32. Sos=2. Demods=4. Limbo=0, Disabled=64. Hints=0.
% 0.75/1.02 Megabytes=0.06.
% 0.75/1.02 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.75/1.02
% 0.75/1.02 ============================== end of statistics =====================
% 0.75/1.02
% 0.75/1.02 ============================== end of search =========================
% 0.75/1.02
% 0.75/1.02 THEOREM PROVED
% 0.75/1.02 % SZS status Unsatisfiable
% 0.75/1.02
% 0.75/1.02 Exiting with 1 proof.
% 0.75/1.02
% 0.75/1.02 Process 14308 exit (max_proofs) Sun May 29 00:01:40 2022
% 0.75/1.02 Prover9 interrupted
%------------------------------------------------------------------------------