TSTP Solution File: PUZ131-10 by Prover9---1109a

View Problem - Process Solution

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% File     : Prover9---1109a
% Problem  : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n025.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 18:24:05 EDT 2022

% Result   : Unsatisfiable 0.39s 0.97s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n025.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 : Sun May 29 01:48:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.39/0.97  ============================== Prover9 ===============================
% 0.39/0.97  Prover9 (32) version 2009-11A, November 2009.
% 0.39/0.97  Process 6851 was started by sandbox on n025.cluster.edu,
% 0.39/0.97  Sun May 29 01:48:26 2022
% 0.39/0.97  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_6493_n025.cluster.edu".
% 0.39/0.97  ============================== end of head ===========================
% 0.39/0.97  
% 0.39/0.97  ============================== INPUT =================================
% 0.39/0.97  
% 0.39/0.97  % Reading from file /tmp/Prover9_6493_n025.cluster.edu
% 0.39/0.97  
% 0.39/0.97  set(prolog_style_variables).
% 0.39/0.97  set(auto2).
% 0.39/0.97      % set(auto2) -> set(auto).
% 0.39/0.97      % set(auto) -> set(auto_inference).
% 0.39/0.97      % set(auto) -> set(auto_setup).
% 0.39/0.97      % set(auto_setup) -> set(predicate_elim).
% 0.39/0.97      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.39/0.97      % set(auto) -> set(auto_limits).
% 0.39/0.97      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.39/0.97      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.39/0.97      % set(auto) -> set(auto_denials).
% 0.39/0.97      % set(auto) -> set(auto_process).
% 0.39/0.97      % set(auto2) -> assign(new_constants, 1).
% 0.39/0.97      % set(auto2) -> assign(fold_denial_max, 3).
% 0.39/0.97      % set(auto2) -> assign(max_weight, "200.000").
% 0.39/0.97      % set(auto2) -> assign(max_hours, 1).
% 0.39/0.97      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.39/0.97      % set(auto2) -> assign(max_seconds, 0).
% 0.39/0.97      % set(auto2) -> assign(max_minutes, 5).
% 0.39/0.97      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.39/0.97      % set(auto2) -> set(sort_initial_sos).
% 0.39/0.97      % set(auto2) -> assign(sos_limit, -1).
% 0.39/0.97      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.39/0.97      % set(auto2) -> assign(max_megs, 400).
% 0.39/0.97      % set(auto2) -> assign(stats, some).
% 0.39/0.97      % set(auto2) -> clear(echo_input).
% 0.39/0.97      % set(auto2) -> set(quiet).
% 0.39/0.97      % set(auto2) -> clear(print_initial_clauses).
% 0.39/0.97      % set(auto2) -> clear(print_given).
% 0.39/0.97  assign(lrs_ticks,-1).
% 0.39/0.97  assign(sos_limit,10000).
% 0.39/0.97  assign(order,kbo).
% 0.39/0.97  set(lex_order_vars).
% 0.39/0.97  clear(print_given).
% 0.39/0.97  
% 0.39/0.97  % formulas(sos).  % not echoed (21 formulas)
% 0.39/0.97  
% 0.39/0.97  ============================== end of input ==========================
% 0.39/0.97  
% 0.39/0.97  % From the command line: assign(max_seconds, 300).
% 0.39/0.97  
% 0.39/0.97  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.39/0.97  
% 0.39/0.97  % Formulas that are not ordinary clauses:
% 0.39/0.97  
% 0.39/0.97  ============================== end of process non-clausal formulas ===
% 0.39/0.97  
% 0.39/0.97  ============================== PROCESS INITIAL CLAUSES ===============
% 0.39/0.97  
% 0.39/0.97  ============================== PREDICATE ELIMINATION =================
% 0.39/0.97  
% 0.39/0.97  ============================== end predicate elimination =============
% 0.39/0.97  
% 0.39/0.97  Auto_denials:
% 0.39/0.97    % copying label teaching_conjecture to answer in negative clause
% 0.39/0.97  
% 0.39/0.97  Term ordering decisions:
% 0.39/0.97  Function symbol KB weights:  true=1. csc410=1. michael=1. victor=1. sK5_course_type_A=1. sK6_professor_type_A=1. sK7_student_type_A=1. enrolled=1. teaches=1. taughtby=1. course=1. professor=1. student=1. coordinatorof=1. sK1_course_teaches_Y=1. sK2_course_enrolled_Y=1. sK3_professor_teaches_Y=1. sK4_student_enrolled_axiom_Y=1. ifeq=1.
% 0.39/0.97  
% 0.39/0.97  ============================== end of process initial clauses ========
% 0.39/0.97  
% 0.39/0.97  ============================== CLAUSES FOR SEARCH ====================
% 0.39/0.97  
% 0.39/0.97  ============================== end of clauses for search =============
% 0.39/0.97  
% 0.39/0.97  ============================== SEARCH ================================
% 0.39/0.97  
% 0.39/0.97  % Starting search at 0.01 seconds.
% 0.39/0.97  
% 0.39/0.97  ============================== PROOF =================================
% 0.39/0.97  % SZS status Unsatisfiable
% 0.39/0.97  % SZS output start Refutation
% 0.39/0.97  
% 0.39/0.97  % Proof 1 at 0.02 (+ 0.00) seconds: teaching_conjecture.
% 0.39/0.97  % Length of proof is 29.
% 0.39/0.97  % Level of proof is 8.
% 0.39/0.97  % Maximum clause weight is 43.000.
% 0.39/0.97  % Given clauses 42.
% 0.39/0.97  
% 0.39/0.97  1 student(sK7_student_type_A) = true # label(student_type) # label(axiom).  [assumption].
% 0.39/0.97  2 true = student(sK7_student_type_A).  [copy(1),flip(a)].
% 0.39/0.97  3 professor(sK6_professor_type_A) = true # label(professor_type) # label(axiom).  [assumption].
% 0.39/0.97  4 student(sK7_student_type_A) = professor(sK6_professor_type_A).  [copy(3),rewrite([2(3)]),flip(a)].
% 0.39/0.97  5 course(sK5_course_type_A) = true # label(course_type) # label(axiom).  [assumption].
% 0.39/0.97  6 professor(sK6_professor_type_A) = course(sK5_course_type_A).  [copy(5),rewrite([2(3),4(4)]),flip(a)].
% 0.39/0.97  7 student(michael) = true # label(michael_type) # label(axiom).  [assumption].
% 0.39/0.97  8 student(michael) = course(sK5_course_type_A).  [copy(7),rewrite([2(3),4(4),6(4)])].
% 0.39/0.97  9 professor(victor) = true # label(victor_type) # label(axiom).  [assumption].
% 0.39/0.97  10 professor(victor) = course(sK5_course_type_A).  [copy(9),rewrite([2(3),4(4),6(4)])].
% 0.39/0.97  11 course(csc410) = true # label(csc410_type) # label(axiom).  [assumption].
% 0.39/0.97  12 course(sK5_course_type_A) = course(csc410).  [copy(11),rewrite([2(3),4(4),6(4)]),flip(a)].
% 0.39/0.97  13 coordinatorof(csc410) = victor # label(victor_coordinator_csc410_axiom) # label(axiom).  [assumption].
% 0.39/0.97  14 victor = coordinatorof(csc410).  [copy(13),flip(a)].
% 0.39/0.97  15 enrolled(michael,csc410) = true # label(michael_enrolled_csc410_axiom) # label(axiom).  [assumption].
% 0.39/0.97  16 enrolled(michael,csc410) = course(csc410).  [copy(15),rewrite([2(4),4(5),6(5),12(5)])].
% 0.39/0.97  17 ifeq(A,A,B,C) = B # label(ifeq_axiom) # label(axiom).  [assumption].
% 0.39/0.97  36 ifeq(course(A),true,teaches(coordinatorof(A),A),true) = true # label(coordinator_teaches) # label(axiom).  [assumption].
% 0.39/0.97  37 ifeq(course(A),course(csc410),teaches(coordinatorof(A),A),course(csc410)) = course(csc410).  [copy(36),rewrite([2(2),4(3),6(3),12(3),2(6),4(7),6(7),12(7),2(9),4(10),6(10),12(10)])].
% 0.39/0.97  38 ifeq(teaches(A,B),true,ifeq(enrolled(C,B),true,ifeq(course(B),true,ifeq(professor(A),true,ifeq(student(C),true,taughtby(C,A),true),true),true),true),true) = true # label(student_enrolled_taught) # label(axiom).  [assumption].
% 0.39/0.97  39 ifeq(teaches(A,B),course(csc410),ifeq(enrolled(C,B),course(csc410),ifeq(course(B),course(csc410),ifeq(professor(A),course(csc410),ifeq(student(C),course(csc410),taughtby(C,A),course(csc410)),course(csc410)),course(csc410)),course(csc410)),course(csc410)) = course(csc410).  [copy(38),rewrite([2(2),4(3),6(3),12(3),2(5),4(6),6(6),12(6),2(8),4(9),6(9),12(9),2(11),4(12),6(12),12(12),2(14),4(15),6(15),12(15),2(17),4(18),6(18),12(18),2(20),4(21),6(21),12(21),2(23),4(24),6(24),12(24),2(26),4(27),6(27),12(27),2(29),4(30),6(30),12(30),2(32),4(33),6(33),12(33)])].
% 0.39/0.97  40 taughtby(michael,victor) != true # label(teaching_conjecture) # label(negated_conjecture) # answer(teaching_conjecture).  [assumption].
% 0.39/0.97  41 taughtby(michael,coordinatorof(csc410)) != course(csc410) # answer(teaching_conjecture).  [copy(40),rewrite([14(2),2(5),4(6),6(6),12(6)])].
% 0.39/0.97  44 professor(coordinatorof(csc410)) = course(csc410).  [back_rewrite(10),rewrite([14(1),12(5)])].
% 0.39/0.97  45 student(michael) = course(csc410).  [back_rewrite(8),rewrite([12(4)])].
% 0.39/0.97  57 teaches(coordinatorof(csc410),csc410) = course(csc410).  [para(37(a,1),17(a,1)),flip(a)].
% 0.39/0.97  59 ifeq(teaches(A,csc410),course(csc410),ifeq(professor(A),course(csc410),taughtby(michael,A),course(csc410)),course(csc410)) = course(csc410).  [para(16(a,1),39(a,1,3,1)),rewrite([45(17),17(24),17(23),17(19)])].
% 0.39/0.97  138 taughtby(michael,coordinatorof(csc410)) = course(csc410).  [para(44(a,1),59(a,1,3,1)),rewrite([57(4),17(15),17(11)])].
% 0.39/0.97  139 $F # answer(teaching_conjecture).  [resolve(138,a,41,a)].
% 0.39/0.97  
% 0.39/0.97  % SZS output end Refutation
% 0.39/0.97  ============================== end of proof ==========================
% 0.39/0.97  
% 0.39/0.97  ============================== STATISTICS ============================
% 0.39/0.97  
% 0.39/0.97  Given=42. Generated=185. Kept=118. proofs=1.
% 0.39/0.97  Usable=42. Sos=70. Demods=111. Limbo=0, Disabled=26. Hints=0.
% 0.39/0.97  Megabytes=0.18.
% 0.39/0.97  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.39/0.97  
% 0.39/0.97  ============================== end of statistics =====================
% 0.39/0.97  
% 0.39/0.97  ============================== end of search =========================
% 0.39/0.97  
% 0.39/0.97  THEOREM PROVED
% 0.39/0.97  % SZS status Unsatisfiable
% 0.39/0.97  
% 0.39/0.97  Exiting with 1 proof.
% 0.39/0.97  
% 0.39/0.97  Process 6851 exit (max_proofs) Sun May 29 01:48:26 2022
% 0.39/0.97  Prover9 interrupted
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