TSTP Solution File: SWW400-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWW400-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n027.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 : Thu Jul 21 01:16:57 EDT 2022

% Result   : Unsatisfiable 0.50s 1.05s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWW400-1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.36  % Computer : n027.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 : Sun Jun  5 10:40:08 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.50/1.05  ============================== Prover9 ===============================
% 0.50/1.05  Prover9 (32) version 2009-11A, November 2009.
% 0.50/1.05  Process 20126 was started by sandbox on n027.cluster.edu,
% 0.50/1.05  Sun Jun  5 10:40:08 2022
% 0.50/1.05  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19973_n027.cluster.edu".
% 0.50/1.05  ============================== end of head ===========================
% 0.50/1.05  
% 0.50/1.05  ============================== INPUT =================================
% 0.50/1.05  
% 0.50/1.05  % Reading from file /tmp/Prover9_19973_n027.cluster.edu
% 0.50/1.05  
% 0.50/1.05  set(prolog_style_variables).
% 0.50/1.05  set(auto2).
% 0.50/1.05      % set(auto2) -> set(auto).
% 0.50/1.05      % set(auto) -> set(auto_inference).
% 0.50/1.05      % set(auto) -> set(auto_setup).
% 0.50/1.05      % set(auto_setup) -> set(predicate_elim).
% 0.50/1.05      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.50/1.05      % set(auto) -> set(auto_limits).
% 0.50/1.05      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.50/1.05      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.50/1.05      % set(auto) -> set(auto_denials).
% 0.50/1.05      % set(auto) -> set(auto_process).
% 0.50/1.05      % set(auto2) -> assign(new_constants, 1).
% 0.50/1.05      % set(auto2) -> assign(fold_denial_max, 3).
% 0.50/1.05      % set(auto2) -> assign(max_weight, "200.000").
% 0.50/1.05      % set(auto2) -> assign(max_hours, 1).
% 0.50/1.05      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.50/1.05      % set(auto2) -> assign(max_seconds, 0).
% 0.50/1.05      % set(auto2) -> assign(max_minutes, 5).
% 0.50/1.05      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.50/1.05      % set(auto2) -> set(sort_initial_sos).
% 0.50/1.05      % set(auto2) -> assign(sos_limit, -1).
% 0.50/1.05      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.50/1.05      % set(auto2) -> assign(max_megs, 400).
% 0.50/1.05      % set(auto2) -> assign(stats, some).
% 0.50/1.05      % set(auto2) -> clear(echo_input).
% 0.50/1.05      % set(auto2) -> set(quiet).
% 0.50/1.05      % set(auto2) -> clear(print_initial_clauses).
% 0.50/1.05      % set(auto2) -> clear(print_given).
% 0.50/1.05  assign(lrs_ticks,-1).
% 0.50/1.05  assign(sos_limit,10000).
% 0.50/1.05  assign(order,kbo).
% 0.50/1.05  set(lex_order_vars).
% 0.50/1.05  clear(print_given).
% 0.50/1.05  
% 0.50/1.05  % formulas(sos).  % not echoed (15 formulas)
% 0.50/1.05  
% 0.50/1.05  ============================== end of input ==========================
% 0.50/1.05  
% 0.50/1.05  % From the command line: assign(max_seconds, 300).
% 0.50/1.05  
% 0.50/1.05  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.50/1.05  
% 0.50/1.05  % Formulas that are not ordinary clauses:
% 0.50/1.05  
% 0.50/1.05  ============================== end of process non-clausal formulas ===
% 0.50/1.05  
% 0.50/1.05  ============================== PROCESS INITIAL CLAUSES ===============
% 0.50/1.05  
% 0.50/1.05  ============================== PREDICATE ELIMINATION =================
% 0.50/1.05  
% 0.50/1.05  ============================== end predicate elimination =============
% 0.50/1.05  
% 0.50/1.05  Auto_denials:  (non-Horn, no changes).
% 0.50/1.05  
% 0.50/1.05  Term ordering decisions:
% 0.50/1.05  Function symbol KB weights:  nil=1. x2=1. emp=1. x1=1. sep=1. lseg=1. next=1.
% 0.50/1.05  
% 0.50/1.05  ============================== end of process initial clauses ========
% 0.50/1.05  
% 0.50/1.05  ============================== CLAUSES FOR SEARCH ====================
% 0.50/1.05  
% 0.50/1.05  ============================== end of clauses for search =============
% 0.50/1.05  
% 0.50/1.05  ============================== SEARCH ================================
% 0.50/1.05  
% 0.50/1.05  % Starting search at 0.01 seconds.
% 0.50/1.05  
% 0.50/1.05  ============================== PROOF =================================
% 0.50/1.05  % SZS status Unsatisfiable
% 0.50/1.05  % SZS output start Refutation
% 0.50/1.05  
% 0.50/1.05  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.50/1.05  % Length of proof is 12.
% 0.50/1.05  % Level of proof is 2.
% 0.50/1.05  % Maximum clause weight is 19.000.
% 0.50/1.05  % Given clauses 36.
% 0.50/1.05  
% 0.50/1.05  1 sep(lseg(A,A),B) = B # label(normalization) # label(axiom).  [assumption].
% 0.50/1.05  2 heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))) # label(premise_3) # label(hypothesis).  [assumption].
% 0.50/1.05  3 sep(A,sep(B,C)) = sep(B,sep(A,C)) # label(associative_commutative) # label(axiom).  [assumption].
% 0.50/1.05  6 nil != x2 # label(premise_2) # label(hypothesis).  [assumption].
% 0.50/1.05  7 x2 != nil.  [copy(6),flip(a)].
% 0.50/1.05  9 -heap(sep(lseg(x1,nil),emp)) # label(conclusion_1) # label(negated_conjecture).  [assumption].
% 0.50/1.05  15 -heap(sep(lseg(A,B),sep(lseg(B,nil),C))) | heap(sep(lseg(A,nil),C)) # label(unfolding_3) # label(axiom).  [assumption].
% 0.50/1.05  16 -heap(sep(next(A,B),sep(lseg(B,C),D))) | A = B | heap(sep(lseg(A,C),D)) # label(unfolding_2) # label(axiom).  [assumption].
% 0.50/1.05  19 heap(sep(lseg(x1,x2),sep(next(x2,nil),emp))).  [back_rewrite(2),rewrite([3(9)])].
% 0.50/1.05  34 -heap(sep(lseg(A,nil),sep(lseg(x1,A),emp))).  [ur(15,b,9,a),rewrite([3(7)])].
% 0.50/1.05  38 -heap(sep(next(A,B),C)) | A = B | heap(sep(lseg(A,B),C)).  [para(1(a,1),16(a,1,2))].
% 0.50/1.05  87 $F.  [ur(38,b,7,a,c,34,a),rewrite([3(9)]),unit_del(a,19)].
% 0.50/1.05  
% 0.50/1.05  % SZS output end Refutation
% 0.50/1.05  ============================== end of proof ==========================
% 0.50/1.05  
% 0.50/1.05  ============================== STATISTICS ============================
% 0.50/1.05  
% 0.50/1.05  Given=36. Generated=224. Kept=83. proofs=1.
% 0.50/1.05  Usable=36. Sos=36. Demods=2. Limbo=0, Disabled=26. Hints=0.
% 0.50/1.05  Megabytes=0.11.
% 0.50/1.05  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.50/1.05  
% 0.50/1.05  ============================== end of statistics =====================
% 0.50/1.05  
% 0.50/1.05  ============================== end of search =========================
% 0.50/1.05  
% 0.50/1.05  THEOREM PROVED
% 0.50/1.05  % SZS status Unsatisfiable
% 0.50/1.05  
% 0.50/1.05  Exiting with 1 proof.
% 0.50/1.05  
% 0.50/1.05  Process 20126 exit (max_proofs) Sun Jun  5 10:40:08 2022
% 0.50/1.05  Prover9 interrupted
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