TSTP Solution File: GRP029-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP029-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sat Jul 16 11:16:49 EDT 2022
% Result : Unsatisfiable 0.46s 0.99s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP029-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n027.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 : Tue Jun 14 03:08:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.99 ============================== Prover9 ===============================
% 0.46/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.46/0.99 Process 13750 was started by sandbox on n027.cluster.edu,
% 0.46/0.99 Tue Jun 14 03:08:03 2022
% 0.46/0.99 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_13484_n027.cluster.edu".
% 0.46/0.99 ============================== end of head ===========================
% 0.46/0.99
% 0.46/0.99 ============================== INPUT =================================
% 0.46/0.99
% 0.46/0.99 % Reading from file /tmp/Prover9_13484_n027.cluster.edu
% 0.46/0.99
% 0.46/0.99 set(prolog_style_variables).
% 0.46/0.99 set(auto2).
% 0.46/0.99 % set(auto2) -> set(auto).
% 0.46/0.99 % set(auto) -> set(auto_inference).
% 0.46/0.99 % set(auto) -> set(auto_setup).
% 0.46/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.46/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/0.99 % set(auto) -> set(auto_limits).
% 0.46/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/0.99 % set(auto) -> set(auto_denials).
% 0.46/0.99 % set(auto) -> set(auto_process).
% 0.46/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.46/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.46/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.46/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.46/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.46/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.46/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.46/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.46/0.99 % set(auto2) -> assign(stats, some).
% 0.46/0.99 % set(auto2) -> clear(echo_input).
% 0.46/0.99 % set(auto2) -> set(quiet).
% 0.46/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.46/0.99 % set(auto2) -> clear(print_given).
% 0.46/0.99 assign(lrs_ticks,-1).
% 0.46/0.99 assign(sos_limit,10000).
% 0.46/0.99 assign(order,kbo).
% 0.46/0.99 set(lex_order_vars).
% 0.46/0.99 clear(print_given).
% 0.46/0.99
% 0.46/0.99 % formulas(sos). % not echoed (16 formulas)
% 0.46/0.99
% 0.46/0.99 ============================== end of input ==========================
% 0.46/0.99
% 0.46/0.99 % From the command line: assign(max_seconds, 300).
% 0.46/0.99
% 0.46/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/0.99
% 0.46/0.99 % Formulas that are not ordinary clauses:
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% 0.46/0.99 ============================== end of process non-clausal formulas ===
% 0.46/0.99
% 0.46/0.99 ============================== PROCESS INITIAL CLAUSES ===============
% 0.46/0.99
% 0.46/0.99 ============================== PREDICATE ELIMINATION =================
% 0.46/0.99
% 0.46/0.99 ============================== end predicate elimination =============
% 0.46/0.99
% 0.46/0.99 Auto_denials:
% 0.46/0.99 % copying label prove_there_is_a_right_identity to answer in negative clause
% 0.46/0.99
% 0.46/0.99 Term ordering decisions:
% 0.46/0.99 Function symbol KB weights: identity=1. multiply=1. inverse=1. not_right_identity=1.
% 0.46/0.99
% 0.46/0.99 ============================== end of process initial clauses ========
% 0.46/0.99
% 0.46/0.99 ============================== CLAUSES FOR SEARCH ====================
% 0.46/0.99
% 0.46/0.99 ============================== end of clauses for search =============
% 0.46/0.99
% 0.46/0.99 ============================== SEARCH ================================
% 0.46/0.99
% 0.46/0.99 % Starting search at 0.01 seconds.
% 0.46/0.99
% 0.46/0.99 ============================== PROOF =================================
% 0.46/0.99 % SZS status Unsatisfiable
% 0.46/0.99 % SZS output start Refutation
% 0.46/0.99
% 0.46/0.99 % Proof 1 at 0.01 (+ 0.00) seconds: prove_there_is_a_right_identity.
% 0.46/0.99 % Length of proof is 9.
% 0.46/0.99 % Level of proof is 3.
% 0.46/0.99 % Maximum clause weight is 16.000.
% 0.46/0.99 % Given clauses 19.
% 0.46/0.99
% 0.46/0.99 2 product(identity,A,A) # label(left_identity) # label(axiom). [assumption].
% 0.46/0.99 3 product(inverse(A),A,identity) # label(left_inverse) # label(axiom). [assumption].
% 0.46/0.99 5 -product(not_right_identity(A),A,not_right_identity(A)) # label(prove_there_is_a_right_identity) # label(negated_conjecture) # answer(prove_there_is_a_right_identity). [assumption].
% 0.46/0.99 15 -product(A,B,C) | -product(B,D,E) | -product(C,D,F) | product(A,E,F) # label(associativity1) # label(axiom). [assumption].
% 0.46/0.99 16 -product(A,B,C) | -product(B,D,E) | -product(A,E,F) | product(C,D,F) # label(associativity2) # label(axiom). [assumption].
% 0.46/0.99 32 product(inverse(inverse(A)),identity,A). [ur(15,a,3,a,b,3,a,c,2,a)].
% 0.46/0.99 38 -product(not_right_identity(identity),inverse(not_right_identity(identity)),identity) # answer(prove_there_is_a_right_identity). [ur(15,b,3,a,c,2,a,d,5,a)].
% 0.46/0.99 77 -product(inverse(inverse(not_right_identity(identity))),identity,not_right_identity(identity)) # answer(prove_there_is_a_right_identity). [ur(16,b,2,a,c,3,a,d,38,a)].
% 0.46/0.99 78 $F # answer(prove_there_is_a_right_identity). [resolve(77,a,32,a)].
% 0.46/0.99
% 0.46/0.99 % SZS output end Refutation
% 0.46/0.99 ============================== end of proof ==========================
% 0.46/0.99
% 0.46/0.99 ============================== STATISTICS ============================
% 0.46/0.99
% 0.46/0.99 Given=19. Generated=115. Kept=77. proofs=1.
% 0.46/0.99 Usable=19. Sos=49. Demods=0. Limbo=8, Disabled=16. Hints=0.
% 0.46/0.99 Megabytes=0.08.
% 0.46/0.99 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.46/0.99
% 0.46/0.99 ============================== end of statistics =====================
% 0.46/0.99
% 0.46/0.99 ============================== end of search =========================
% 0.46/0.99
% 0.46/0.99 THEOREM PROVED
% 0.46/0.99 % SZS status Unsatisfiable
% 0.46/0.99
% 0.46/0.99 Exiting with 1 proof.
% 0.46/0.99
% 0.46/0.99 Process 13750 exit (max_proofs) Tue Jun 14 03:08:03 2022
% 0.46/0.99 Prover9 interrupted
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