TSTP Solution File: GRP123-6.005 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GRP123-6.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n021.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 : Sat Jul 16 11:17:17 EDT 2022

% Result   : Timeout 300.02s 300.31s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem  : GRP123-6.005 : TPTP v8.1.0. Released v1.2.0.
% 0.09/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jun 13 07:03:41 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.76/1.02  ============================== Prover9 ===============================
% 0.76/1.02  Prover9 (32) version 2009-11A, November 2009.
% 0.76/1.02  Process 4982 was started by sandbox on n021.cluster.edu,
% 0.76/1.02  Mon Jun 13 07:03:42 2022
% 0.76/1.02  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_4828_n021.cluster.edu".
% 0.76/1.02  ============================== end of head ===========================
% 0.76/1.02  
% 0.76/1.02  ============================== INPUT =================================
% 0.76/1.02  
% 0.76/1.02  % Reading from file /tmp/Prover9_4828_n021.cluster.edu
% 0.76/1.02  
% 0.76/1.02  set(prolog_style_variables).
% 0.76/1.02  set(auto2).
% 0.76/1.02      % set(auto2) -> set(auto).
% 0.76/1.02      % set(auto) -> set(auto_inference).
% 0.76/1.02      % set(auto) -> set(auto_setup).
% 0.76/1.02      % set(auto_setup) -> set(predicate_elim).
% 0.76/1.02      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.76/1.02      % set(auto) -> set(auto_limits).
% 0.76/1.02      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.76/1.02      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.76/1.02      % set(auto) -> set(auto_denials).
% 0.76/1.02      % set(auto) -> set(auto_process).
% 0.76/1.02      % set(auto2) -> assign(new_constants, 1).
% 0.76/1.02      % set(auto2) -> assign(fold_denial_max, 3).
% 0.76/1.02      % set(auto2) -> assign(max_weight, "200.000").
% 0.76/1.02      % set(auto2) -> assign(max_hours, 1).
% 0.76/1.02      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.76/1.02      % set(auto2) -> assign(max_seconds, 0).
% 0.76/1.02      % set(auto2) -> assign(max_minutes, 5).
% 0.76/1.02      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.76/1.02      % set(auto2) -> set(sort_initial_sos).
% 0.76/1.02      % set(auto2) -> assign(sos_limit, -1).
% 0.76/1.02      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.76/1.02      % set(auto2) -> assign(max_megs, 400).
% 0.76/1.02      % set(auto2) -> assign(stats, some).
% 0.76/1.02      % set(auto2) -> clear(echo_input).
% 0.76/1.02      % set(auto2) -> set(quiet).
% 0.76/1.02      % set(auto2) -> clear(print_initial_clauses).
% 0.76/1.02      % set(auto2) -> clear(print_given).
% 0.76/1.02  assign(lrs_ticks,-1).
% 0.76/1.02  assign(sos_limit,10000).
% 0.76/1.02  assign(order,kbo).
% 0.76/1.02  set(lex_order_vars).
% 0.76/1.02  clear(print_given).
% 0.76/1.02  
% 0.76/1.02  % formulas(sos).  % not echoed (36 formulas)
% 0.76/1.02  
% 0.76/1.02  ============================== end of input ==========================
% 0.76/1.02  
% 0.76/1.02  % From the command line: assign(max_seconds, 300).
% 0.76/1.02  
% 0.76/1.02  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.76/1.02  
% 0.76/1.02  % Formulas that are not ordinary clauses:
% 0.76/1.02  
% 0.76/1.02  ============================== end of process non-clausal formulas ===
% 0.76/1.02  
% 0.76/1.02  ============================== PROCESS INITIAL CLAUSES ===============
% 0.76/1.02  
% 0.76/1.02  ============================== PREDICATE ELIMINATION =================
% 0.76/1.02  1 -product1(A,B,C) | -product1(A,B,D) | equalish(C,D) # label(product1_total_function2) # label(axiom).  [assumption].
% 0.76/1.02  2 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom).  [assumption].
% 0.76/1.02  3 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom).  [assumption].
% 0.76/1.02  4 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom).  [assumption].
% 0.76/1.02  5 -equalish(e_1,e_5) # label(e_1_is_not_e_5) # label(axiom).  [assumption].
% 0.76/1.02  6 -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom).  [assumption].
% 0.76/1.02  7 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom).  [assumption].
% 0.76/1.02  8 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom).  [assumption].
% 0.76/1.02  9 -equalish(e_2,e_5) # label(e_2_is_not_e_5) # label(axiom).  [assumption].
% 0.76/1.02  10 -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom).  [assumption].
% 0.76/1.02  11 -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom).  [assumption].
% 0.76/1.02  12 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom).  [assumption].
% 0.76/1.02  13 -equalish(e_3,e_5) # label(e_3_is_not_e_5) # label(axiom).  [assumption].
% 0.76/1.02  14 -equalish(e_4,e_1) # label(e_4_is_not_e_1) # label(axiom).  [assumption].
% 0.76/1.02  15 -equalish(e_4,e_2) # label(e_4_is_not_e_2) # label(axiom).  [assumption].
% 0.76/1.02  16 -equalish(e_4,e_3) # label(e_4_is_not_e_3) # label(axiom).  [assumption].
% 0.76/1.02  17 -equalish(e_4,e_5) # label(e_4_is_not_e_5) # label(axiom).  [assumption].
% 0.76/1.02  18 -equalish(e_5,e_1) # label(e_5_is_not_e_1) # label(axiom).  [assumption].
% 0.76/1.02  19 -equalish(e_5,e_2) # label(e_5_is_not_e_2) # label(axiom).  [assumption].
% 0.76/1.02  20 -equalish(e_5,e_3) # label(e_5_is_not_e_3) # label(axiom).  [assumption].
% 0.76/1.02  21 -equalish(e_5,e_4) # label(e_5_is_not_e_4) # label(axiom).  [assumption].
% 0.76/1.02  Derived: -product1(A,B,e_1) | -product1(A,B,e_2).  [resolve(1,c,2,a)].
% 0.76/1.02  Derived: -product1(A,B,e_1) | -product1(A,B,e_3).  [resolve(1,c,3,a)].
% 0.76/1.02  Derived: -product1(A,B,e_1) | -product1(A,B,e_4).  [resolve(1,c,4,a)].
% 0.76/1.02  Derived: -product1(A,B,e_1) | -product1(A,B,e_5).  [resolve(1,c,5,a)].
% 0.76/1.02  Derived: -product1(A,B,e_2) | -product1(A,B,e_3).  [resolve(1,c,7,a)].
% 0.76/1.02  Derived: -product1(A,B,e_2) | -product1(A,B,e_4).  [resolve(1,c,8,a)].
% 0.76/1.02  Derived: -product1(A,B,e_2) | -product1(A,B,e_5).  [resolve(1,c,9,a)].
% 0.76/1.02  Derived: -product1(A,B,e_3) | -product1(A,B,e_4).  [resolve(1,c,12,a)].
% 0.76/1.02  Derived: -product1(A,B,e_3) | -product1(A,B,e_5).  [resolve(1,c,13,a)].
% 0.76/1.02  Derived: -product1(A,B,e_4) | -product1(A,B,e_5).  [resolve(1,c,17,a)].
% 0.76/1.02  22 -product1(A,B,C) | -product1(A,D,C) | equalish(B,D) # label(product1_right_cancellation) # label(axiom).  [assumption].
% 0.76/1.02  Derived: -product1(A,e_1,B) | -product1(A,e_2,B).  [resolve(22,c,2,a)].
% 0.76/1.02  Derived: -product1(A,e_1,B) | -product1(A,e_3,B).  [resolve(22,c,3,a)].
% 0.76/1.02  Derived: -product1(A,e_1,B) | -product1(A,e_4,B).  [resolve(22,c,4,a)].
% 0.76/1.02  Derived: -product1(A,e_1,B) | -product1(A,e_5,B).  [resolve(22,c,5,a)].
% 0.76/1.02  Derived: -product1(A,e_2,B) | -product1(A,e_3,B).  [resolve(22,c,7,a)].
% 0.76/1.02  Derived: -product1(A,e_2,B) | -product1(A,e_4,B).  [resolve(22,c,8,a)].
% 0.76/1.02  Derived: -product1(A,e_2,B) | -product1(A,e_5,B).  [resolve(22,c,9,a)].
% 0.76/1.02  Derived: -product1(A,e_3,B) | -product1(A,e_4,B).  [resolve(22,c,12,a)].
% 0.76/1.02  Derived: -product1(A,e_3,B) | -product1(A,e_5,B).  [resolve(22,c,13,a)].
% 0.76/1.02  Derived: -product1(A,e_4,B) | -product1(A,e_5,B).  [resolve(22,c,17,a)].
% 0.76/1.02  23 -product1(A,B,C) | -product1(D,B,C) | equalish(A,D) # label(product1_left_cancellation) # label(axiom).  [assumption].
% 0.76/1.02  Derived: -product1(e_1,A,B) | -product1(e_2,A,B).  [resolve(23,c,2,a)].
% 0.76/1.02  Derived: -product1(e_1,A,B) | -product1(e_3,A,B).  [resolve(23,c,3,a)].
% 0.76/1.02  Derived: -product1(e_1,A,B) | -product1(e_4,A,B).  [resolve(23,c,4,a)].
% 0.76/1.02  Derived: -product1(e_1,A,B) | -product1(e_5,A,B).  [resolve(23,c,5,a)].
% 0.76/1.02  Derived: -product1(e_2,A,B) | -product1(e_3,A,B).  [resolve(23,c,7,a)].
% 0.76/1.02  Derived: -product1(e_2,A,B) | -product1(e_4,A,B).  [resolve(23,c,8,a)].
% 0.76/1.02  Derived: -product1(e_2,A,B) | -product1(e_5,A,B).  [resolve(23,c,9,a)].
% 0.76/1.02  Derived: -product1(e_3,A,B) | -product1(e_4,A,B).  [resolve(23,c,12,a)].
% 0.76/1.02  Derived: -product1(e_3,A,B) | -product1(e_5,A,B).  [resolve(23,c,13,a)].
% 0.76/1.02  Derived: -product1(e_4,A,B) | -product1(e_5,A,B).  [resolve(23,c,17,a)].
% 0.76/1.02  24 -product2(A,B,C) | -product2(A,B,D) | equalish(C,D) # label(product2_total_function2) # label(axiom).  [assumption].
% 0.76/1.02  Derived: -product2(A,B,e_1) | -product2(A,B,e_2).  [resolve(24,c,2,a)].
% 0.76/1.02  Derived: -product2(A,B,e_1) | -product2(A,B,e_3).  [resolve(24,c,3,a)].
% 0.76/1.02  Derived: -product2(A,B,e_1) | -product2(A,B,e_4).  [resolve(24,c,4,a)].
% 0.76/1.02  Derived: -product2(A,B,e_1) | -product2(A,B,e_5).  [resolve(24,c,5,a)].
% 0.76/1.02  Derived: -product2(A,B,e_2) | -product2(A,B,e_3).  [resolve(24,c,7,a)].
% 0.76/1.02  Derived: -product2(A,B,e_2) | -product2(A,B,e_4).  [resolve(24,c,8,a)].
% 0.76/1.02  Derived: -product2(A,B,e_2) | -product2(A,B,e_5).  [resolve(24,c,9,a)].
% 0.76/1.02  Derived: -product2(A,B,e_3) | -product2(A,B,e_4).  [resolve(24,c,12,a)].
% 0.76/1.02  Derived: -product2(A,B,e_3) | -product2(A,B,e_5).  [resolve(24,c,13,a)].
% 0.76/1.02  Derived: -product2(A,B,e_4) | -product2(A,B,e_5).  [resolve(24,c,17,a)].
% 0.76/1.02  25 -product2(A,B,C) | -product2(A,D,C) | equalish(B,D) # label(product2_right_cancellation) # label(axiom).  [assumption].
% 0.76/1.02  Derived: -product2(A,e_1,B) | -product2(A,e_2,B).  [resolve(25,c,2,a)].
% 0.76/1.02  Derived: -product2(A,e_1,B) | -product2(A,e_3,B).  [resolve(25,c,3,a)].
% 0.76/1.02  Derived: -product2(A,e_1,B) | -product2(A,e_4,B).  [resolve(25,c,4,a)].
% 0.76/1.02  Derived: -product2(A,e_1,B) | -product2(A,e_5,B).  [resolve(25,c,5,a)].
% 0.76/1.02  Derived: -product2(A,e_2,B) | -product2(A,e_3,B).  [resolve(25,c,7,a)].
% 0.76/1.02  Derived: -product2(A,e_2,B) | -product2(A,e_4,B).  [resolve(25,c,8,a)].
% 0.76/1.02  Derived: -product2(A,e_2,B) | -product2(A,e_5,B).  [resolve(25,c,9,a)].
% 0.76/1.02  Derived: -product2(A,e_3,B) | -product2(A,e_4,B).  [resolve(25,c,12,a)].
% 0.76/1.02  Derived: -product2(A,e_3,B) | -product2(A,e_5,B).  [resolve(25,c,13,a)].
% 0.76/1.02  Derived: -product2(A,e_4,B) | -product2(A,e_5,B).  [resolve(25,c,17,a)].
% 0.76/1.02  26 -product2(A,B,C) | -product2(D,B,C) | equalish(A,D) # label(product2_left_cancellation) # label(axCputime limit exceeded (core dumped)
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