TSTP Solution File: SYN980+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN980+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Thu Jul 21 11:23:59 EDT 2022

% Result   : Theorem 0.45s 1.05s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN980+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 14:07:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.45/1.05  ============================== Prover9 ===============================
% 0.45/1.05  Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.05  Process 27656 was started by sandbox on n026.cluster.edu,
% 0.45/1.05  Mon Jul 11 14:07:43 2022
% 0.45/1.05  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_27273_n026.cluster.edu".
% 0.45/1.05  ============================== end of head ===========================
% 0.45/1.05  
% 0.45/1.05  ============================== INPUT =================================
% 0.45/1.05  
% 0.45/1.05  % Reading from file /tmp/Prover9_27273_n026.cluster.edu
% 0.45/1.05  
% 0.45/1.05  set(prolog_style_variables).
% 0.45/1.05  set(auto2).
% 0.45/1.05      % set(auto2) -> set(auto).
% 0.45/1.05      % set(auto) -> set(auto_inference).
% 0.45/1.05      % set(auto) -> set(auto_setup).
% 0.45/1.05      % set(auto_setup) -> set(predicate_elim).
% 0.45/1.05      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.05      % set(auto) -> set(auto_limits).
% 0.45/1.05      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.05      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.05      % set(auto) -> set(auto_denials).
% 0.45/1.05      % set(auto) -> set(auto_process).
% 0.45/1.05      % set(auto2) -> assign(new_constants, 1).
% 0.45/1.05      % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.05      % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.05      % set(auto2) -> assign(max_hours, 1).
% 0.45/1.05      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.05      % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.05      % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.05      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.05      % set(auto2) -> set(sort_initial_sos).
% 0.45/1.05      % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.05      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.05      % set(auto2) -> assign(max_megs, 400).
% 0.45/1.05      % set(auto2) -> assign(stats, some).
% 0.45/1.05      % set(auto2) -> clear(echo_input).
% 0.45/1.05      % set(auto2) -> set(quiet).
% 0.45/1.05      % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.05      % set(auto2) -> clear(print_given).
% 0.45/1.05  assign(lrs_ticks,-1).
% 0.45/1.05  assign(sos_limit,10000).
% 0.45/1.05  assign(order,kbo).
% 0.45/1.05  set(lex_order_vars).
% 0.45/1.05  clear(print_given).
% 0.45/1.05  
% 0.45/1.05  % formulas(sos).  % not echoed (1 formulas)
% 0.45/1.05  
% 0.45/1.05  ============================== end of input ==========================
% 0.45/1.05  
% 0.45/1.05  % From the command line: assign(max_seconds, 300).
% 0.45/1.05  
% 0.45/1.05  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.05  
% 0.45/1.05  % Formulas that are not ordinary clauses:
% 0.45/1.05  1 -(all B ((all Y ((r(B) -> r(Y)) -> p(f(Y),Y))) -> (exists X exists Y (p(X,Y) & (q(f(B),B) -> q(X,Y)))))) # label(prove_this) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.45/1.05  
% 0.45/1.05  ============================== end of process non-clausal formulas ===
% 0.45/1.05  
% 0.45/1.05  ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.05  
% 0.45/1.05  ============================== PREDICATE ELIMINATION =================
% 0.45/1.05  2 -r(A) | p(f(A),A) # label(prove_this) # label(negated_conjecture).  [clausify(1)].
% 0.45/1.05  3 r(c1) | p(f(A),A) # label(prove_this) # label(negated_conjecture).  [clausify(1)].
% 0.45/1.05  Derived: p(f(c1),c1) | p(f(A),A).  [resolve(2,a,3,a)].
% 0.45/1.05  4 -p(A,B) | q(f(c1),c1) # label(prove_this) # label(negated_conjecture).  [clausify(1)].
% 0.45/1.05  5 -p(A,B) | -q(A,B) # label(prove_this) # label(negated_conjecture).  [clausify(1)].
% 0.45/1.05  Derived: -p(A,B) | -p(f(c1),c1).  [resolve(4,b,5,b)].
% 0.45/1.05  
% 0.45/1.05  ============================== end predicate elimination =============
% 0.45/1.05  
% 0.45/1.05  Auto_denials:  (non-Horn, no changes).
% 0.45/1.05  
% 0.45/1.05  Term ordering decisions:
% 0.45/1.05  
% 0.45/1.05  % Assigning unary symbol f kb_weight 0 and highest precedence (3).
% 0.45/1.05  Function symbol KB weights:  c1=1. f=0.
% 0.45/1.05  
% 0.45/1.05  ============================== PROOF =================================
% 0.45/1.05  % SZS status Theorem
% 0.45/1.05  % SZS output start Refutation
% 0.45/1.05  
% 0.45/1.05  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.45/1.05  % Length of proof is 9.
% 0.45/1.05  % Level of proof is 4.
% 0.45/1.05  % Maximum clause weight is 8.000.
% 0.45/1.05  % Given clauses 0.
% 0.45/1.05  
% 0.45/1.05  1 -(all B ((all Y ((r(B) -> r(Y)) -> p(f(Y),Y))) -> (exists X exists Y (p(X,Y) & (q(f(B),B) -> q(X,Y)))))) # label(prove_this) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.45/1.05  2 -r(A) | p(f(A),A) # label(prove_this) # label(negated_conjecture).  [clausify(1)].
% 0.45/1.05  3 r(c1) | p(f(A),A) # label(prove_this) # label(negated_conjecture).  [clausify(1)].
% 0.45/1.05  4 -p(A,B) | q(f(c1),c1) # label(prove_this) # label(negated_conjecture).  [clausify(1)].
% 0.45/1.05  5 -p(A,B) | -q(A,B) # label(prove_this) # label(negated_conjecture).  [clausify(1)].
% 0.45/1.05  6 p(f(c1),c1) | p(f(A),A).  [resolve(2,a,3,a)].
% 0.45/1.05  7 -p(A,B) | -p(f(c1),c1).  [resolve(4,b,5,b)].
% 0.45/1.05  8 p(f(c1),c1).  [factor(6,a,b)].
% 0.45/1.05  9 $F.  [factor(7,a,b),unit_del(a,8)].
% 0.45/1.05  
% 0.45/1.05  % SZS output end Refutation
% 0.45/1.05  ============================== end of proof ==========================
% 0.45/1.05  
% 0.45/1.05  ============================== STATISTICS ============================
% 0.45/1.05  
% 0.45/1.05  Given=0. Generated=4. Kept=3. proofs=1.
% 0.45/1.05  Usable=0. Sos=1. Demods=0. Limbo=2, Disabled=6. Hints=0.
% 0.45/1.05  Megabytes=0.02.
% 0.45/1.05  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.45/1.05  
% 0.45/1.05  ============================== end of statistics =====================
% 0.45/1.05  
% 0.45/1.05  ============================== end of search =========================
% 0.45/1.05  
% 0.45/1.05  THEOREM PROVED
% 0.45/1.05  % SZS status Theorem
% 0.45/1.05  
% 0.45/1.05  Exiting with 1 proof.
% 0.45/1.05  
% 0.45/1.05  Process 27656 exit (max_proofs) Mon Jul 11 14:07:43 2022
% 0.45/1.05  Prover9 interrupted
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