TSTP Solution File: PUZ024-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : PUZ024-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 18:23:52 EDT 2022
% Result : Unsatisfiable 0.54s 0.83s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : PUZ024-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.10 % Command : tptp2X_and_run_prover9 %d %s
% 0.08/0.29 % Computer : n029.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Sun May 29 01:28:28 EDT 2022
% 0.08/0.30 % CPUTime :
% 0.54/0.82 ============================== Prover9 ===============================
% 0.54/0.82 Prover9 (32) version 2009-11A, November 2009.
% 0.54/0.82 Process 4684 was started by sandbox2 on n029.cluster.edu,
% 0.54/0.82 Sun May 29 01:28:28 2022
% 0.54/0.82 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_4531_n029.cluster.edu".
% 0.54/0.82 ============================== end of head ===========================
% 0.54/0.82
% 0.54/0.82 ============================== INPUT =================================
% 0.54/0.82
% 0.54/0.82 % Reading from file /tmp/Prover9_4531_n029.cluster.edu
% 0.54/0.82
% 0.54/0.82 set(prolog_style_variables).
% 0.54/0.82 set(auto2).
% 0.54/0.82 % set(auto2) -> set(auto).
% 0.54/0.82 % set(auto) -> set(auto_inference).
% 0.54/0.82 % set(auto) -> set(auto_setup).
% 0.54/0.82 % set(auto_setup) -> set(predicate_elim).
% 0.54/0.82 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.54/0.82 % set(auto) -> set(auto_limits).
% 0.54/0.82 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.54/0.82 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.54/0.82 % set(auto) -> set(auto_denials).
% 0.54/0.82 % set(auto) -> set(auto_process).
% 0.54/0.82 % set(auto2) -> assign(new_constants, 1).
% 0.54/0.82 % set(auto2) -> assign(fold_denial_max, 3).
% 0.54/0.82 % set(auto2) -> assign(max_weight, "200.000").
% 0.54/0.82 % set(auto2) -> assign(max_hours, 1).
% 0.54/0.82 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.54/0.82 % set(auto2) -> assign(max_seconds, 0).
% 0.54/0.82 % set(auto2) -> assign(max_minutes, 5).
% 0.54/0.82 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.54/0.82 % set(auto2) -> set(sort_initial_sos).
% 0.54/0.82 % set(auto2) -> assign(sos_limit, -1).
% 0.54/0.82 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.54/0.82 % set(auto2) -> assign(max_megs, 400).
% 0.54/0.82 % set(auto2) -> assign(stats, some).
% 0.54/0.82 % set(auto2) -> clear(echo_input).
% 0.54/0.82 % set(auto2) -> set(quiet).
% 0.54/0.82 % set(auto2) -> clear(print_initial_clauses).
% 0.54/0.82 % set(auto2) -> clear(print_given).
% 0.54/0.82 assign(lrs_ticks,-1).
% 0.54/0.82 assign(sos_limit,10000).
% 0.54/0.82 assign(order,kbo).
% 0.54/0.82 set(lex_order_vars).
% 0.54/0.82 clear(print_given).
% 0.54/0.82
% 0.54/0.82 % formulas(sos). % not echoed (20 formulas)
% 0.54/0.82
% 0.54/0.82 ============================== end of input ==========================
% 0.54/0.82
% 0.54/0.82 % From the command line: assign(max_seconds, 300).
% 0.54/0.82
% 0.54/0.82 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.54/0.82
% 0.54/0.82 % Formulas that are not ordinary clauses:
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% 0.54/0.82 ============================== end of process non-clausal formulas ===
% 0.54/0.82
% 0.54/0.82 ============================== PROCESS INITIAL CLAUSES ===============
% 0.54/0.82
% 0.54/0.82 ============================== PREDICATE ELIMINATION =================
% 0.54/0.82 1 -a_truth(says(A,all_are_liars)) | -people(A,B,C) | -a_truth(truthteller(A)) # label(speaker_is_lying) # label(axiom). [assumption].
% 0.54/0.82 2 people(b,c,a) # label(b_c_a_people) # label(hypothesis). [assumption].
% 0.54/0.82 3 people(a,c,b) # label(a_c_b_people) # label(hypothesis). [assumption].
% 0.54/0.82 4 people(c,b,a) # label(c_b_a_people) # label(hypothesis). [assumption].
% 0.54/0.82 Derived: -a_truth(says(b,all_are_liars)) | -a_truth(truthteller(b)). [resolve(1,b,2,a)].
% 0.54/0.82 Derived: -a_truth(says(a,all_are_liars)) | -a_truth(truthteller(a)). [resolve(1,b,3,a)].
% 0.54/0.82 Derived: -a_truth(says(c,all_are_liars)) | -a_truth(truthteller(c)). [resolve(1,b,4,a)].
% 0.54/0.82 5 -a_truth(one_truthteller) | -people(A,B,C) | -a_truth(truthteller(B)) | -a_truth(truthteller(A)) | -a_truth(truthteller(C)) # label(one_is_not_the_truthteller) # label(axiom). [assumption].
% 0.54/0.82 Derived: -a_truth(one_truthteller) | -a_truth(truthteller(c)) | -a_truth(truthteller(b)) | -a_truth(truthteller(a)). [resolve(5,b,2,a)].
% 0.54/0.82 6 -a_truth(says(A,one_truthteller)) | -people(A,B,C) | -a_truth(truthteller(A)) | -a_truth(truthteller(B)) | -a_truth(truthteller(C)) # label(one_says_one_truthteller) # label(axiom). [assumption].
% 0.54/0.82 Derived: -a_truth(says(b,one_truthteller)) | -a_truth(truthteller(b)) | -a_truth(truthteller(c)) | -a_truth(truthteller(a)). [resolve(6,b,2,a)].
% 0.54/0.82 Derived: -a_truth(says(a,one_truthteller)) | -a_truth(truthteller(a)) | -a_truth(truthteller(c)) | -a_truth(truthteller(b)). [resolve(6,b,3,a)].
% 0.54/0.82 Derived: -a_truth(says(c,one_truthteller)) | -a_truth(truthteller(c)) | -a_truth(truthteller(b)) | -a_truth(truthteller(a)). [resolve(6,b,4,a)].
% 0.54/0.82 7 -a_truth(one_truthteller) | -people(A,B,C) | a_truth(truthteller(A)) | a_truth(truthteller(B)) | a_truth(truthteller(C)) # label(one_is_the_truth_teller) # label(axiom). [assumption].
% 0.54/0.83 Derived: -a_truth(one_truthteller) | a_truth(truthteller(b)) | a_truth(truthteller(c)) | a_truth(truthteller(a)). [resolve(7,b,2,a)].
% 0.54/0.83 8 -a_truth(one_truthteller) | -people(A,B,C) | -a_truth(liar(A)) | -a_truth(truthteller(B)) | a_truth(liar(C)) # label(one_truthteller_two_liars) # label(axiom). [assumption].
% 0.54/0.83 Derived: -a_truth(one_truthteller) | -a_truth(liar(b)) | -a_truth(truthteller(c)) | a_truth(liar(a)). [resolve(8,b,2,a)].
% 0.54/0.83 Derived: -a_truth(one_truthteller) | -a_truth(liar(a)) | -a_truth(truthteller(c)) | a_truth(liar(b)). [resolve(8,b,3,a)].
% 0.54/0.83 Derived: -a_truth(one_truthteller) | -a_truth(liar(c)) | -a_truth(truthteller(b)) | a_truth(liar(a)). [resolve(8,b,4,a)].
% 0.54/0.83 9 a_truth(one_truthteller) | -people(A,B,C) | -a_truth(liar(A)) | -a_truth(truthteller(B)) | a_truth(truthteller(C)) # label(two_truthtellers) # label(axiom). [assumption].
% 0.54/0.83 Derived: a_truth(one_truthteller) | -a_truth(liar(b)) | -a_truth(truthteller(c)) | a_truth(truthteller(a)). [resolve(9,b,2,a)].
% 0.54/0.83 Derived: a_truth(one_truthteller) | -a_truth(liar(a)) | -a_truth(truthteller(c)) | a_truth(truthteller(b)). [resolve(9,b,3,a)].
% 0.54/0.83 Derived: a_truth(one_truthteller) | -a_truth(liar(c)) | -a_truth(truthteller(b)) | a_truth(truthteller(a)). [resolve(9,b,4,a)].
% 0.54/0.83 10 a_truth(one_truthteller) | -people(A,B,C) | -a_truth(liar(A)) | -a_truth(liar(B)) | a_truth(liar(C)) # label(three_liars) # label(axiom). [assumption].
% 0.54/0.83 Derived: a_truth(one_truthteller) | -a_truth(liar(b)) | -a_truth(liar(c)) | a_truth(liar(a)). [resolve(10,b,2,a)].
% 0.54/0.83 Derived: a_truth(one_truthteller) | -a_truth(liar(a)) | -a_truth(liar(c)) | a_truth(liar(b)). [resolve(10,b,3,a)].
% 0.54/0.83 11 a_truth(all_are_liars) | -people(A,B,C) | a_truth(truthteller(A)) | a_truth(truthteller(B)) | a_truth(truthteller(C)) # label(all_truthtellers) # label(axiom). [assumption].
% 0.54/0.83 Derived: a_truth(all_are_liars) | a_truth(truthteller(b)) | a_truth(truthteller(c)) | a_truth(truthteller(a)). [resolve(11,b,2,a)].
% 0.54/0.83
% 0.54/0.83 ============================== end predicate elimination =============
% 0.54/0.83
% 0.54/0.83 Auto_denials: (non-Horn, no changes).
% 0.54/0.83
% 0.54/0.83 Term ordering decisions:
% 0.54/0.83 Function symbol KB weights: a=1. b=1. c=1. one_truthteller=1. all_are_liars=1. says=1. truthteller=1. liar=1.
% 0.54/0.83
% 0.54/0.83 ============================== end of process initial clauses ========
% 0.54/0.83
% 0.54/0.83 ============================== CLAUSES FOR SEARCH ====================
% 0.54/0.83
% 0.54/0.83 ============================== end of clauses for search =============
% 0.54/0.83
% 0.54/0.83 ============================== SEARCH ================================
% 0.54/0.83
% 0.54/0.83 % Starting search at 0.01 seconds.
% 0.54/0.83
% 0.54/0.83 ============================== PROOF =================================
% 0.54/0.83 % SZS status Unsatisfiable
% 0.54/0.83 % SZS output start Refutation
% 0.54/0.83
% 0.54/0.83 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.54/0.83 % Length of proof is 9.
% 0.54/0.83 % Level of proof is 3.
% 0.54/0.83 % Maximum clause weight is 6.000.
% 0.54/0.83 % Given clauses 4.
% 0.54/0.83
% 0.54/0.83 2 people(b,c,a) # label(b_c_a_people) # label(hypothesis). [assumption].
% 0.54/0.83 11 a_truth(all_are_liars) | -people(A,B,C) | a_truth(truthteller(A)) | a_truth(truthteller(B)) | a_truth(truthteller(C)) # label(all_truthtellers) # label(axiom). [assumption].
% 0.54/0.83 12 a_truth(says(a,all_are_liars)) # label(a_says_all_are_liars) # label(hypothesis). [assumption].
% 0.54/0.83 15 -a_truth(truthteller(A)) # label(prove_there_is_a_truthteller) # label(negated_conjecture). [assumption].
% 0.54/0.83 17 -a_truth(A) | -a_truth(says(B,A)) | a_truth(truthteller(B)) # label(truths_are_told_by_truthtellers) # label(axiom). [assumption].
% 0.54/0.83 18 -a_truth(A) | -a_truth(says(B,A)). [copy(17),unit_del(c,15)].
% 0.54/0.83 31 a_truth(all_are_liars) | a_truth(truthteller(b)) | a_truth(truthteller(c)) | a_truth(truthteller(a)). [resolve(11,b,2,a)].
% 0.54/0.83 32 a_truth(all_are_liars). [copy(31),unit_del(b,15),unit_del(c,15),unit_del(d,15)].
% 0.54/0.83 35 $F. [resolve(18,b,12,a),unit_del(a,32)].
% 0.54/0.83
% 0.54/0.83 % SZS output end Refutation
% 0.54/0.83 ============================== end of proof ==========================
% 0.54/0.83
% 0.54/0.83 ============================== STATISTICS ============================
% 0.54/0.83
% 0.54/0.83 Given=4. Generated=31. Kept=13. proofs=1.
% 0.54/0.83 Usable=4. Sos=4. Demods=0. Limbo=0, Disabled=42. Hints=0.
% 0.54/0.83 Megabytes=0.04.
% 0.54/0.83 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.54/0.83
% 0.54/0.83 ============================== end of statistics =====================
% 0.54/0.83
% 0.54/0.83 ============================== end of search =========================
% 0.54/0.83
% 0.54/0.83 THEOREM PROVED
% 0.54/0.83 % SZS status Unsatisfiable
% 0.54/0.83
% 0.54/0.83 Exiting with 1 proof.
% 0.54/0.83
% 0.54/0.83 Process 4684 exit (max_proofs) Sun May 29 01:28:28 2022
% 0.54/0.83 Prover9 interrupted
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