TSTP Solution File: PUZ027-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : PUZ027-1 : 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 0.71s 0.99s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 20:21:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/0.98 ============================== Prover9 ===============================
% 0.71/0.98 Prover9 (32) version 2009-11A, November 2009.
% 0.71/0.98 Process 3562 was started by sandbox on n029.cluster.edu,
% 0.71/0.98 Sat May 28 20:21:28 2022
% 0.71/0.98 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3409_n029.cluster.edu".
% 0.71/0.98 ============================== end of head ===========================
% 0.71/0.98
% 0.71/0.98 ============================== INPUT =================================
% 0.71/0.98
% 0.71/0.98 % Reading from file /tmp/Prover9_3409_n029.cluster.edu
% 0.71/0.98
% 0.71/0.98 set(prolog_style_variables).
% 0.71/0.98 set(auto2).
% 0.71/0.98 % set(auto2) -> set(auto).
% 0.71/0.98 % set(auto) -> set(auto_inference).
% 0.71/0.98 % set(auto) -> set(auto_setup).
% 0.71/0.98 % set(auto_setup) -> set(predicate_elim).
% 0.71/0.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.71/0.98 % set(auto) -> set(auto_limits).
% 0.71/0.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.71/0.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.71/0.98 % set(auto) -> set(auto_denials).
% 0.71/0.98 % set(auto) -> set(auto_process).
% 0.71/0.98 % set(auto2) -> assign(new_constants, 1).
% 0.71/0.98 % set(auto2) -> assign(fold_denial_max, 3).
% 0.71/0.98 % set(auto2) -> assign(max_weight, "200.000").
% 0.71/0.98 % set(auto2) -> assign(max_hours, 1).
% 0.71/0.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.71/0.98 % set(auto2) -> assign(max_seconds, 0).
% 0.71/0.98 % set(auto2) -> assign(max_minutes, 5).
% 0.71/0.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.71/0.98 % set(auto2) -> set(sort_initial_sos).
% 0.71/0.98 % set(auto2) -> assign(sos_limit, -1).
% 0.71/0.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.71/0.98 % set(auto2) -> assign(max_megs, 400).
% 0.71/0.98 % set(auto2) -> assign(stats, some).
% 0.71/0.98 % set(auto2) -> clear(echo_input).
% 0.71/0.98 % set(auto2) -> set(quiet).
% 0.71/0.98 % set(auto2) -> clear(print_initial_clauses).
% 0.71/0.98 % set(auto2) -> clear(print_given).
% 0.71/0.98 assign(lrs_ticks,-1).
% 0.71/0.98 assign(sos_limit,10000).
% 0.71/0.98 assign(order,kbo).
% 0.71/0.98 set(lex_order_vars).
% 0.71/0.98 clear(print_given).
% 0.71/0.98
% 0.71/0.98 % formulas(sos). % not echoed (32 formulas)
% 0.71/0.98
% 0.71/0.98 ============================== end of input ==========================
% 0.71/0.98
% 0.71/0.98 % From the command line: assign(max_seconds, 300).
% 0.71/0.98
% 0.71/0.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.71/0.98
% 0.71/0.98 % Formulas that are not ordinary clauses:
% 0.71/0.98
% 0.71/0.98 ============================== end of process non-clausal formulas ===
% 0.71/0.98
% 0.71/0.98 ============================== PROCESS INITIAL CLAUSES ===============
% 0.71/0.98
% 0.71/0.98 ============================== PREDICATE ELIMINATION =================
% 0.71/0.98 1 -a_truth(truthteller(a)) | -a_truth(truthteller(b)) | answer(a_and_b_truthteller) # label(a_and_b_truthteller) # label(hypothesis). [assumption].
% 0.71/0.98 2 -answer(A) # label(prove_there_is_an_answer) # label(negated_conjecture). [assumption].
% 0.71/0.98 Derived: -a_truth(truthteller(a)) | -a_truth(truthteller(b)). [resolve(1,c,2,a)].
% 0.71/0.98 3 -a_truth(truthteller(a)) | -a_truth(normal(b)) | answer(a_truthteller_b_normal) # label(a_truthteller_b_normal) # label(hypothesis). [assumption].
% 0.71/0.98 Derived: -a_truth(truthteller(a)) | -a_truth(normal(b)). [resolve(3,c,2,a)].
% 0.71/0.98 4 -a_truth(truthteller(a)) | -a_truth(liar(b)) | answer(a_truthteller_b_liar) # label(a_truthteller_b_liar) # label(hypothesis). [assumption].
% 0.71/0.98 Derived: -a_truth(truthteller(a)) | -a_truth(liar(b)). [resolve(4,c,2,a)].
% 0.71/0.98 5 -a_truth(normal(a)) | -a_truth(truthteller(b)) | answer(a_normal_b_truthteller) # label(a_normal_b_truthteller) # label(hypothesis). [assumption].
% 0.71/0.98 Derived: -a_truth(normal(a)) | -a_truth(truthteller(b)). [resolve(5,c,2,a)].
% 0.71/0.98 6 -a_truth(normal(a)) | -a_truth(normal(b)) | answer(a_and_b_normal) # label(a_and_b_normal) # label(hypothesis). [assumption].
% 0.71/0.98 Derived: -a_truth(normal(a)) | -a_truth(normal(b)). [resolve(6,c,2,a)].
% 0.71/0.98 7 -a_truth(normal(a)) | -a_truth(liar(b)) | answer(a_normal_b_liar) # label(a_normal_b_liar) # label(hypothesis). [assumption].
% 0.71/0.98 Derived: -a_truth(normal(a)) | -a_truth(liar(b)). [resolve(7,c,2,a)].
% 0.71/0.98 8 -a_truth(liar(a)) | -a_truth(truthteller(b)) | answer(a_liar_b_truthteller) # label(a_liar_b_truthteller) # label(hypothesis). [assumption].
% 0.71/0.98 Derived: -a_truth(liar(a)) | -a_truth(truthteller(b)). [resolve(8,c,2,a)].
% 0.71/0.98 9 -a_truth(liar(a)) | -a_truth(normal(b)) | answer(a_liar_b_normal) # label(a_liar_b_normal) # label(hypothesis). [assumption].
% 0.71/0.99 Derived: -a_truth(liar(a)) | -a_truth(normal(b)). [resolve(9,c,2,a)].
% 0.71/0.99 10 -a_truth(liar(a)) | -a_truth(liar(b)) | answer(a_and_b_liar) # label(a_and_b_liar) # label(hypothesis). [assumption].
% 0.71/0.99 Derived: -a_truth(liar(a)) | -a_truth(liar(b)). [resolve(10,c,2,a)].
% 0.71/0.99
% 0.71/0.99 ============================== end predicate elimination =============
% 0.71/0.99
% 0.71/0.99 Auto_denials: (non-Horn, no changes).
% 0.71/0.99
% 0.71/0.99 Term ordering decisions:
% 0.71/0.99 Function symbol KB weights: a=1. b=1. lower=1. not_lower=1. says=1. normal=1. truthteller=1. liar=1.
% 0.71/0.99
% 0.71/0.99 ============================== end of process initial clauses ========
% 0.71/0.99
% 0.71/0.99 ============================== CLAUSES FOR SEARCH ====================
% 0.71/0.99
% 0.71/0.99 ============================== end of clauses for search =============
% 0.71/0.99
% 0.71/0.99 ============================== SEARCH ================================
% 0.71/0.99
% 0.71/0.99 % Starting search at 0.01 seconds.
% 0.71/0.99
% 0.71/0.99 ============================== PROOF =================================
% 0.71/0.99 % SZS status Unsatisfiable
% 0.71/0.99 % SZS output start Refutation
% 0.71/0.99
% 0.71/0.99 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.71/0.99 % Length of proof is 36.
% 0.71/0.99 % Level of proof is 12.
% 0.71/0.99 % Maximum clause weight is 12.000.
% 0.71/0.99 % Given clauses 71.
% 0.71/0.99
% 0.71/0.99 1 -a_truth(truthteller(a)) | -a_truth(truthteller(b)) | answer(a_and_b_truthteller) # label(a_and_b_truthteller) # label(hypothesis). [assumption].
% 0.71/0.99 2 -answer(A) # label(prove_there_is_an_answer) # label(negated_conjecture). [assumption].
% 0.71/0.99 5 -a_truth(normal(a)) | -a_truth(truthteller(b)) | answer(a_normal_b_truthteller) # label(a_normal_b_truthteller) # label(hypothesis). [assumption].
% 0.71/0.99 6 -a_truth(normal(a)) | -a_truth(normal(b)) | answer(a_and_b_normal) # label(a_and_b_normal) # label(hypothesis). [assumption].
% 0.71/0.99 8 -a_truth(liar(a)) | -a_truth(truthteller(b)) | answer(a_liar_b_truthteller) # label(a_liar_b_truthteller) # label(hypothesis). [assumption].
% 0.71/0.99 9 -a_truth(liar(a)) | -a_truth(normal(b)) | answer(a_liar_b_normal) # label(a_liar_b_normal) # label(hypothesis). [assumption].
% 0.71/0.99 12 a_truth(says(a,lower(a,b))) # label(a_says_a_lower_than_b) # label(hypothesis). [assumption].
% 0.71/0.99 13 a_truth(says(b,not_lower(a,b))) # label(b_says_a_not_lower_than_b) # label(hypothesis). [assumption].
% 0.71/0.99 14 a_truth(not_lower(A,B)) | a_truth(lower(A,B)) # label(not_lower_or_lower) # label(axiom). [assumption].
% 0.71/0.99 15 a_truth(truthteller(A)) | a_truth(liar(A)) | a_truth(normal(A)) # label(person_is_one_type) # label(axiom). [assumption].
% 0.71/0.99 20 -a_truth(lower(A,B)) | -a_truth(liar(B)) # label(no_one_lower_than_liars) # label(axiom). [assumption].
% 0.71/0.99 22 -a_truth(liar(A)) | -a_truth(says(A,B)) | -a_truth(B) # label(liars_lie) # label(axiom). [assumption].
% 0.71/0.99 25 -a_truth(lower(A,B)) | -a_truth(normal(B)) | a_truth(liar(A)) # label(liars_lower_than_normal) # label(axiom). [assumption].
% 0.71/0.99 27 a_truth(A) | -a_truth(says(B,A)) | a_truth(liar(B)) | a_truth(normal(B)) # label(liars_and_normal_lie) # label(axiom). [assumption].
% 0.71/0.99 33 -a_truth(truthteller(a)) | -a_truth(truthteller(b)). [resolve(1,c,2,a)].
% 0.71/0.99 36 -a_truth(normal(a)) | -a_truth(truthteller(b)). [resolve(5,c,2,a)].
% 0.71/0.99 37 -a_truth(normal(a)) | -a_truth(normal(b)). [resolve(6,c,2,a)].
% 0.71/0.99 39 -a_truth(liar(a)) | -a_truth(truthteller(b)). [resolve(8,c,2,a)].
% 0.71/0.99 40 -a_truth(liar(a)) | -a_truth(normal(b)). [resolve(9,c,2,a)].
% 0.71/0.99 46 -a_truth(liar(b)) | -a_truth(not_lower(a,b)). [resolve(22,b,13,a)].
% 0.71/0.99 53 a_truth(lower(a,b)) | a_truth(liar(a)) | a_truth(normal(a)). [resolve(27,b,12,a)].
% 0.71/0.99 59 -a_truth(truthteller(b)) | a_truth(truthteller(a)) | a_truth(normal(a)). [resolve(39,a,15,b)].
% 0.71/0.99 62 -a_truth(liar(b)) | a_truth(lower(a,b)). [resolve(46,b,14,a)].
% 0.71/0.99 63 a_truth(lower(a,b)) | a_truth(truthteller(b)) | a_truth(normal(b)). [resolve(62,a,15,b)].
% 0.71/0.99 69 a_truth(liar(a)) | a_truth(normal(a)) | -a_truth(normal(b)). [resolve(53,a,25,a),merge(d)].
% 0.71/0.99 73 a_truth(truthteller(b)) | a_truth(normal(b)) | -a_truth(liar(b)). [resolve(63,a,20,a)].
% 0.71/0.99 74 a_truth(truthteller(b)) | a_truth(normal(b)). [resolve(73,c,15,b),merge(c),merge(d)].
% 0.71/0.99 77 a_truth(normal(b)) | a_truth(truthteller(a)) | a_truth(normal(a)). [resolve(74,a,59,a)].
% 0.71/0.99 80 a_truth(normal(b)) | -a_truth(normal(a)). [resolve(74,a,36,b)].
% 0.71/0.99 81 a_truth(normal(b)) | -a_truth(truthteller(a)). [resolve(74,a,33,b)].
% 0.71/0.99 86 a_truth(normal(b)) | a_truth(normal(a)). [resolve(77,b,81,b),merge(c)].
% 0.71/0.99 87 a_truth(normal(a)) | a_truth(liar(a)). [resolve(86,a,69,c),merge(c)].
% 0.71/0.99 92 a_truth(normal(a)) | -a_truth(normal(b)). [resolve(87,b,40,a)].
% 0.71/0.99 97 a_truth(normal(a)). [resolve(92,b,86,a),merge(b)].
% 0.71/0.99 98 a_truth(normal(b)). [back_unit_del(80),unit_del(b,97)].
% 0.71/0.99 100 $F. [back_unit_del(37),unit_del(a,97),unit_del(b,98)].
% 0.71/0.99
% 0.71/0.99 % SZS output end Refutation
% 0.71/0.99 ============================== end of proof ==========================
% 0.71/0.99
% 0.71/0.99 ============================== STATISTICS ============================
% 0.71/0.99
% 0.71/0.99 Given=71. Generated=142. Kept=89. proofs=1.
% 0.71/0.99 Usable=47. Sos=2. Demods=0. Limbo=3, Disabled=78. Hints=0.
% 0.71/0.99 Megabytes=0.09.
% 0.71/0.99 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.71/0.99
% 0.71/0.99 ============================== end of statistics =====================
% 0.71/0.99
% 0.71/0.99 ============================== end of search =========================
% 0.71/0.99
% 0.71/0.99 THEOREM PROVED
% 0.71/0.99 % SZS status Unsatisfiable
% 0.71/0.99
% 0.71/0.99 Exiting with 1 proof.
% 0.71/0.99
% 0.71/0.99 Process 3562 exit (max_proofs) Sat May 28 20:21:28 2022
% 0.71/0.99 Prover9 interrupted
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