TSTP Solution File: GRP031-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP031-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 11:16:50 EDT 2022
% Result : Unsatisfiable 0.73s 1.02s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 05:31:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.73/1.02 ============================== Prover9 ===============================
% 0.73/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.73/1.02 Process 15405 was started by sandbox on n028.cluster.edu,
% 0.73/1.02 Tue Jun 14 05:31:09 2022
% 0.73/1.02 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_15252_n028.cluster.edu".
% 0.73/1.02 ============================== end of head ===========================
% 0.73/1.02
% 0.73/1.02 ============================== INPUT =================================
% 0.73/1.02
% 0.73/1.02 % Reading from file /tmp/Prover9_15252_n028.cluster.edu
% 0.73/1.02
% 0.73/1.02 set(prolog_style_variables).
% 0.73/1.02 set(auto2).
% 0.73/1.02 % set(auto2) -> set(auto).
% 0.73/1.02 % set(auto) -> set(auto_inference).
% 0.73/1.02 % set(auto) -> set(auto_setup).
% 0.73/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.73/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.73/1.02 % set(auto) -> set(auto_limits).
% 0.73/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.73/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.73/1.02 % set(auto) -> set(auto_denials).
% 0.73/1.02 % set(auto) -> set(auto_process).
% 0.73/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.73/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.73/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.73/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.73/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.73/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.73/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.73/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.73/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.73/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.73/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.73/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.73/1.02 % set(auto2) -> assign(stats, some).
% 0.73/1.02 % set(auto2) -> clear(echo_input).
% 0.73/1.02 % set(auto2) -> set(quiet).
% 0.73/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.73/1.02 % set(auto2) -> clear(print_given).
% 0.73/1.02 assign(lrs_ticks,-1).
% 0.73/1.02 assign(sos_limit,10000).
% 0.73/1.02 assign(order,kbo).
% 0.73/1.02 set(lex_order_vars).
% 0.73/1.02 clear(print_given).
% 0.73/1.02
% 0.73/1.02 % formulas(sos). % not echoed (7 formulas)
% 0.73/1.02
% 0.73/1.02 ============================== end of input ==========================
% 0.73/1.02
% 0.73/1.02 % From the command line: assign(max_seconds, 300).
% 0.73/1.02
% 0.73/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.73/1.02
% 0.73/1.02 % Formulas that are not ordinary clauses:
% 0.73/1.02
% 0.73/1.02 ============================== end of process non-clausal formulas ===
% 0.73/1.02
% 0.73/1.02 ============================== PROCESS INITIAL CLAUSES ===============
% 0.73/1.02
% 0.73/1.02 ============================== PREDICATE ELIMINATION =================
% 0.73/1.02
% 0.73/1.02 ============================== end predicate elimination =============
% 0.73/1.02
% 0.73/1.02 Auto_denials:
% 0.73/1.02 % copying label prove_a_has_an_inverse to answer in negative clause
% 0.73/1.02
% 0.73/1.02 Term ordering decisions:
% 0.73/1.02
% 0.73/1.02 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 0.73/1.02 Function symbol KB weights: identity=1. a=1. multiply=1. inverse=0.
% 0.73/1.02
% 0.73/1.02 ============================== end of process initial clauses ========
% 0.73/1.02
% 0.73/1.02 ============================== CLAUSES FOR SEARCH ====================
% 0.73/1.02
% 0.73/1.02 ============================== end of clauses for search =============
% 0.73/1.02
% 0.73/1.02 ============================== SEARCH ================================
% 0.73/1.02
% 0.73/1.02 % Starting search at 0.01 seconds.
% 0.73/1.02
% 0.73/1.02 ============================== PROOF =================================
% 0.73/1.02 % SZS status Unsatisfiable
% 0.73/1.02 % SZS output start Refutation
% 0.73/1.02
% 0.73/1.02 % Proof 1 at 0.01 (+ 0.00) seconds: prove_a_has_an_inverse.
% 0.73/1.02 % Length of proof is 11.
% 0.73/1.02 % Level of proof is 3.
% 0.73/1.02 % Maximum clause weight is 16.000.
% 0.73/1.02 % Given clauses 7.
% 0.73/1.02
% 0.73/1.02 1 product(identity,A,A) # label(left_identity) # label(hypothesis). [assumption].
% 0.73/1.02 2 product(inverse(A),A,identity) # label(left_inverse) # label(hypothesis). [assumption].
% 0.73/1.02 3 product(A,B,multiply(A,B)) # label(total_function1) # label(axiom). [assumption].
% 0.73/1.02 4 -product(a,A,identity) # label(prove_a_has_an_inverse) # label(negated_conjecture) # answer(prove_a_has_an_inverse). [assumption].
% 0.73/1.02 5 -product(A,B,C) | -product(A,B,D) | C = D # label(total_function2) # label(axiom). [assumption].
% 0.73/1.02 6 -product(A,B,C) | -product(B,D,E) | -product(C,D,F) | product(A,E,F) # label(associativity1) # label(axiom). [assumption].
% 0.73/1.02 7 -product(A,B,C) | -product(B,D,E) | -product(A,E,F) | product(C,D,F) # label(associativity2) # label(axiom). [assumption].
% 0.73/1.02 9 multiply(identity,A) = A. [hyper(5,a,3,a,b,1,a)].
% 0.73/1.02 14 product(inverse(inverse(A)),identity,A). [hyper(6,a,2,a,b,2,a,c,3,a),rewrite([9(5)])].
% 0.73/1.02 30 -product(inverse(A),identity,a) # answer(prove_a_has_an_inverse). [ur(7,b,1,a,c,2,a,d,4,a)].
% 0.73/1.02 31 $F # answer(prove_a_has_an_inverse). [resolve(30,a,14,a)].
% 0.73/1.02
% 0.73/1.02 % SZS output end Refutation
% 0.73/1.02 ============================== end of proof ==========================
% 0.73/1.02
% 0.73/1.02 ============================== STATISTICS ============================
% 0.73/1.02
% 0.73/1.02 Given=7. Generated=62. Kept=30. proofs=1.
% 0.73/1.02 Usable=7. Sos=10. Demods=2. Limbo=12, Disabled=7. Hints=0.
% 0.73/1.02 Megabytes=0.04.
% 0.73/1.02 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.73/1.02
% 0.73/1.02 ============================== end of statistics =====================
% 0.73/1.02
% 0.73/1.02 ============================== end of search =========================
% 0.73/1.02
% 0.73/1.02 THEOREM PROVED
% 0.73/1.02 % SZS status Unsatisfiable
% 0.73/1.02
% 0.73/1.02 Exiting with 1 proof.
% 0.73/1.02
% 0.73/1.02 Process 15405 exit (max_proofs) Tue Jun 14 05:31:09 2022
% 0.73/1.02 Prover9 interrupted
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