TSTP Solution File: GRP004-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP004-2 : TPTP v8.1.0. Released v1.0.0.
% 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 11:16:39 EDT 2022
% Result : Unsatisfiable 0.41s 0.96s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP004-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n021.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 : Mon Jun 13 06:33:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/0.96 ============================== Prover9 ===============================
% 0.41/0.96 Prover9 (32) version 2009-11A, November 2009.
% 0.41/0.96 Process 13583 was started by sandbox on n021.cluster.edu,
% 0.41/0.96 Mon Jun 13 06:33:12 2022
% 0.41/0.96 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_13430_n021.cluster.edu".
% 0.41/0.96 ============================== end of head ===========================
% 0.41/0.96
% 0.41/0.96 ============================== INPUT =================================
% 0.41/0.96
% 0.41/0.96 % Reading from file /tmp/Prover9_13430_n021.cluster.edu
% 0.41/0.96
% 0.41/0.96 set(prolog_style_variables).
% 0.41/0.96 set(auto2).
% 0.41/0.96 % set(auto2) -> set(auto).
% 0.41/0.96 % set(auto) -> set(auto_inference).
% 0.41/0.96 % set(auto) -> set(auto_setup).
% 0.41/0.96 % set(auto_setup) -> set(predicate_elim).
% 0.41/0.96 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/0.96 % set(auto) -> set(auto_limits).
% 0.41/0.96 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/0.96 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/0.96 % set(auto) -> set(auto_denials).
% 0.41/0.96 % set(auto) -> set(auto_process).
% 0.41/0.96 % set(auto2) -> assign(new_constants, 1).
% 0.41/0.96 % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/0.96 % set(auto2) -> assign(max_weight, "200.000").
% 0.41/0.96 % set(auto2) -> assign(max_hours, 1).
% 0.41/0.96 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/0.96 % set(auto2) -> assign(max_seconds, 0).
% 0.41/0.96 % set(auto2) -> assign(max_minutes, 5).
% 0.41/0.96 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/0.96 % set(auto2) -> set(sort_initial_sos).
% 0.41/0.96 % set(auto2) -> assign(sos_limit, -1).
% 0.41/0.96 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/0.96 % set(auto2) -> assign(max_megs, 400).
% 0.41/0.96 % set(auto2) -> assign(stats, some).
% 0.41/0.96 % set(auto2) -> clear(echo_input).
% 0.41/0.96 % set(auto2) -> set(quiet).
% 0.41/0.96 % set(auto2) -> clear(print_initial_clauses).
% 0.41/0.96 % set(auto2) -> clear(print_given).
% 0.41/0.96 assign(lrs_ticks,-1).
% 0.41/0.96 assign(sos_limit,10000).
% 0.41/0.96 assign(order,kbo).
% 0.41/0.96 set(lex_order_vars).
% 0.41/0.96 clear(print_given).
% 0.41/0.96
% 0.41/0.96 % formulas(sos). % not echoed (8 formulas)
% 0.41/0.96
% 0.41/0.96 ============================== end of input ==========================
% 0.41/0.96
% 0.41/0.96 % From the command line: assign(max_seconds, 300).
% 0.41/0.96
% 0.41/0.96 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/0.96
% 0.41/0.96 % Formulas that are not ordinary clauses:
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% 0.41/0.96 ============================== end of process non-clausal formulas ===
% 0.41/0.96
% 0.41/0.96 ============================== PROCESS INITIAL CLAUSES ===============
% 0.41/0.96
% 0.41/0.96 ============================== PREDICATE ELIMINATION =================
% 0.41/0.96 1 -equalish(A,B) | -product(C,D,A) | product(C,D,B) # label(product_substitution3) # label(axiom). [assumption].
% 0.41/0.96 2 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(total_function2) # label(axiom). [assumption].
% 0.41/0.96 Derived: -product(A,B,C) | product(A,B,D) | -product(E,F,C) | -product(E,F,D). [resolve(1,a,2,c)].
% 0.41/0.96
% 0.41/0.96 ============================== end predicate elimination =============
% 0.41/0.96
% 0.41/0.96 Auto_denials:
% 0.41/0.96 % copying label prove_right_inverse to answer in negative clause
% 0.41/0.96
% 0.41/0.96 Term ordering decisions:
% 0.41/0.96
% 0.41/0.96 % Assigning unary symbol inverse kb_weight 0 and highest precedence (5).
% 0.41/0.96 Function symbol KB weights: identity=1. a=1. multiply=1. inverse=0.
% 0.41/0.96
% 0.41/0.96 ============================== end of process initial clauses ========
% 0.41/0.96
% 0.41/0.96 ============================== CLAUSES FOR SEARCH ====================
% 0.41/0.96
% 0.41/0.96 ============================== end of clauses for search =============
% 0.41/0.96
% 0.41/0.96 ============================== SEARCH ================================
% 0.41/0.96
% 0.41/0.96 % Starting search at 0.01 seconds.
% 0.41/0.96
% 0.41/0.96 ============================== PROOF =================================
% 0.41/0.96 % SZS status Unsatisfiable
% 0.41/0.96 % SZS output start Refutation
% 0.41/0.96
% 0.41/0.96 % Proof 1 at 0.01 (+ 0.00) seconds: prove_right_inverse.
% 0.41/0.96 % Length of proof is 8.
% 0.41/0.96 % Level of proof is 2.
% 0.41/0.96 % Maximum clause weight is 16.000.
% 0.41/0.96 % Given clauses 6.
% 0.41/0.96
% 0.41/0.96 3 product(identity,A,A) # label(left_identity) # label(axiom). [assumption].
% 0.41/0.96 4 product(inverse(A),A,identity) # label(left_inverse) # label(axiom). [assumption].
% 0.41/0.96 6 -product(a,inverse(a),identity) # label(prove_right_inverse) # label(negated_conjecture) # answer(prove_right_inverse). [assumption].
% 0.41/0.96 7 -product(A,B,C) | -product(B,D,E) | -product(C,D,F) | product(A,E,F) # label(associativity1) # label(axiom). [assumption].
% 0.41/0.96 8 -product(A,B,C) | -product(B,D,E) | -product(A,E,F) | product(C,D,F) # label(associativity2) # label(axiom). [assumption].
% 0.41/0.96 17 product(inverse(inverse(A)),identity,A). [ur(7,a,4,a,b,4,a,c,3,a)].
% 0.41/0.96 43 -product(inverse(inverse(a)),identity,a) # answer(prove_right_inverse). [ur(8,b,3,a,c,4,a,d,6,a)].
% 0.41/0.96 44 $F # answer(prove_right_inverse). [resolve(43,a,17,a)].
% 0.41/0.96
% 0.41/0.96 % SZS output end Refutation
% 0.41/0.96 ============================== end of proof ==========================
% 0.41/0.96
% 0.41/0.96 ============================== STATISTICS ============================
% 0.41/0.96
% 0.41/0.96 Given=6. Generated=50. Kept=41. proofs=1.
% 0.41/0.96 Usable=6. Sos=16. Demods=0. Limbo=18, Disabled=9. Hints=0.
% 0.41/0.96 Megabytes=0.05.
% 0.41/0.96 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.41/0.96
% 0.41/0.96 ============================== end of statistics =====================
% 0.41/0.96
% 0.41/0.96 ============================== end of search =========================
% 0.41/0.96
% 0.41/0.96 THEOREM PROVED
% 0.41/0.96 % SZS status Unsatisfiable
% 0.41/0.96
% 0.41/0.96 Exiting with 1 proof.
% 0.41/0.96
% 0.41/0.96 Process 13583 exit (max_proofs) Mon Jun 13 06:33:12 2022
% 0.41/0.96 Prover9 interrupted
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