TSTP Solution File: GRP034-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP034-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n012.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 11:16:51 EDT 2022
% Result : Unsatisfiable 0.45s 0.99s
% Output : Refutation 0.45s
% 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 : GRP034-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n012.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 01:32:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/0.99 ============================== Prover9 ===============================
% 0.45/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.45/0.99 Process 7895 was started by sandbox2 on n012.cluster.edu,
% 0.45/0.99 Tue Jun 14 01:32:41 2022
% 0.45/0.99 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_7740_n012.cluster.edu".
% 0.45/0.99 ============================== end of head ===========================
% 0.45/0.99
% 0.45/0.99 ============================== INPUT =================================
% 0.45/0.99
% 0.45/0.99 % Reading from file /tmp/Prover9_7740_n012.cluster.edu
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% 0.45/0.99 set(prolog_style_variables).
% 0.45/0.99 set(auto2).
% 0.45/0.99 % set(auto2) -> set(auto).
% 0.45/0.99 % set(auto) -> set(auto_inference).
% 0.45/0.99 % set(auto) -> set(auto_setup).
% 0.45/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.45/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/0.99 % set(auto) -> set(auto_limits).
% 0.45/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/0.99 % set(auto) -> set(auto_denials).
% 0.45/0.99 % set(auto) -> set(auto_process).
% 0.45/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.45/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.45/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.45/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.45/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.45/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.45/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.45/0.99 % set(auto2) -> assign(stats, some).
% 0.45/0.99 % set(auto2) -> clear(echo_input).
% 0.45/0.99 % set(auto2) -> set(quiet).
% 0.45/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.45/0.99 % set(auto2) -> clear(print_given).
% 0.45/0.99 assign(lrs_ticks,-1).
% 0.45/0.99 assign(sos_limit,10000).
% 0.45/0.99 assign(order,kbo).
% 0.45/0.99 set(lex_order_vars).
% 0.45/0.99 clear(print_given).
% 0.45/0.99
% 0.45/0.99 % formulas(sos). % not echoed (11 formulas)
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% 0.45/0.99 ============================== end of input ==========================
% 0.45/0.99
% 0.45/0.99 % From the command line: assign(max_seconds, 300).
% 0.45/0.99
% 0.45/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/0.99
% 0.45/0.99 % Formulas that are not ordinary clauses:
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% 0.45/0.99 ============================== end of process non-clausal formulas ===
% 0.45/0.99
% 0.45/0.99 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.45/0.99 ============================== PREDICATE ELIMINATION =================
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% 0.45/0.99 ============================== end predicate elimination =============
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% 0.45/0.99 Auto_denials:
% 0.45/0.99 % copying label prove_a_inverse_is_in_subgroup to answer in negative clause
% 0.45/0.99
% 0.45/0.99 Term ordering decisions:
% 0.45/0.99
% 0.45/0.99 % Assigning unary symbol inverse kb_weight 0 and highest precedence (7).
% 0.45/0.99 Function symbol KB weights: identity=1. a=1. multiply=1. inverse=0.
% 0.45/0.99
% 0.45/0.99 ============================== end of process initial clauses ========
% 0.45/0.99
% 0.45/0.99 ============================== CLAUSES FOR SEARCH ====================
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% 0.45/0.99 ============================== end of clauses for search =============
% 0.45/0.99
% 0.45/0.99 ============================== SEARCH ================================
% 0.45/0.99
% 0.45/0.99 % Starting search at 0.01 seconds.
% 0.45/0.99
% 0.45/0.99 ============================== PROOF =================================
% 0.45/0.99 % SZS status Unsatisfiable
% 0.45/0.99 % SZS output start Refutation
% 0.45/0.99
% 0.45/0.99 % Proof 1 at 0.01 (+ 0.00) seconds: prove_a_inverse_is_in_subgroup.
% 0.45/0.99 % Length of proof is 11.
% 0.45/0.99 % Level of proof is 3.
% 0.45/0.99 % Maximum clause weight is 11.000.
% 0.45/0.99 % Given clauses 9.
% 0.45/0.99
% 0.45/0.99 1 subgroup_member(a) # label(a_is_in_subgroup) # label(hypothesis). [assumption].
% 0.45/0.99 2 product(identity,A,A) # label(left_identity) # label(axiom). [assumption].
% 0.45/0.99 5 product(A,inverse(A),identity) # label(right_inverse) # label(axiom). [assumption].
% 0.45/0.99 6 product(A,B,multiply(A,B)) # label(total_function1) # label(axiom). [assumption].
% 0.45/0.99 7 -subgroup_member(inverse(a)) # label(prove_a_inverse_is_in_subgroup) # label(negated_conjecture) # answer(prove_a_inverse_is_in_subgroup). [assumption].
% 0.45/0.99 8 -product(A,B,C) | -product(A,B,D) | C = D # label(total_function2) # label(axiom). [assumption].
% 0.45/0.99 9 -subgroup_member(A) | -subgroup_member(B) | -product(A,inverse(B),C) | subgroup_member(C) # label(closure_of_product_and_inverse) # label(axiom). [assumption].
% 0.45/0.99 12 multiply(A,inverse(A)) = identity. [hyper(8,a,6,a,b,5,a)].
% 0.45/0.99 17 subgroup_member(identity). [hyper(9,a,1,a,b,1,a,c,6,a),rewrite([12(4)])].
% 0.45/0.99 18 -subgroup_member(identity) # answer(prove_a_inverse_is_in_subgroup). [ur(9,b,1,a,c,2,a,d,7,a)].
% 0.45/0.99 19 $F # answer(prove_a_inverse_is_in_subgroup). [resolve(18,a,17,a)].
% 0.45/0.99
% 0.45/0.99 % SZS output end Refutation
% 0.45/0.99 ============================== end of proof ==========================
% 0.45/0.99
% 0.45/0.99 ============================== STATISTICS ============================
% 0.45/0.99
% 0.45/0.99 Given=9. Generated=33. Kept=18. proofs=1.
% 0.45/0.99 Usable=9. Sos=7. Demods=5. Limbo=1, Disabled=11. Hints=0.
% 0.45/0.99 Megabytes=0.04.
% 0.45/0.99 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.45/0.99
% 0.45/0.99 ============================== end of statistics =====================
% 0.45/0.99
% 0.45/0.99 ============================== end of search =========================
% 0.45/0.99
% 0.45/0.99 THEOREM PROVED
% 0.45/0.99 % SZS status Unsatisfiable
% 0.45/0.99
% 0.45/0.99 Exiting with 1 proof.
% 0.45/0.99
% 0.45/0.99 Process 7895 exit (max_proofs) Tue Jun 14 01:32:41 2022
% 0.45/0.99 Prover9 interrupted
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