TSTP Solution File: GRP012-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n011.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 11:16:41 EDT 2022
% Result : Unsatisfiable 0.45s 1.09s
% 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
% 0.07/0.13 % Problem : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 09:50:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.45/1.09 ============================== Prover9 ===============================
% 0.45/1.09 Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.09 Process 18914 was started by sandbox2 on n011.cluster.edu,
% 0.45/1.09 Tue Jun 14 09:50:20 2022
% 0.45/1.09 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_18761_n011.cluster.edu".
% 0.45/1.09 ============================== end of head ===========================
% 0.45/1.09
% 0.45/1.09 ============================== INPUT =================================
% 0.45/1.09
% 0.45/1.09 % Reading from file /tmp/Prover9_18761_n011.cluster.edu
% 0.45/1.09
% 0.45/1.09 set(prolog_style_variables).
% 0.45/1.09 set(auto2).
% 0.45/1.09 % set(auto2) -> set(auto).
% 0.45/1.09 % set(auto) -> set(auto_inference).
% 0.45/1.09 % set(auto) -> set(auto_setup).
% 0.45/1.09 % set(auto_setup) -> set(predicate_elim).
% 0.45/1.09 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.09 % set(auto) -> set(auto_limits).
% 0.45/1.09 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.09 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.09 % set(auto) -> set(auto_denials).
% 0.45/1.09 % set(auto) -> set(auto_process).
% 0.45/1.09 % set(auto2) -> assign(new_constants, 1).
% 0.45/1.09 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.09 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.09 % set(auto2) -> assign(max_hours, 1).
% 0.45/1.09 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.09 % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.09 % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.09 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.09 % set(auto2) -> set(sort_initial_sos).
% 0.45/1.09 % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.09 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.09 % set(auto2) -> assign(max_megs, 400).
% 0.45/1.09 % set(auto2) -> assign(stats, some).
% 0.45/1.09 % set(auto2) -> clear(echo_input).
% 0.45/1.09 % set(auto2) -> set(quiet).
% 0.45/1.09 % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.09 % set(auto2) -> clear(print_given).
% 0.45/1.09 assign(lrs_ticks,-1).
% 0.45/1.09 assign(sos_limit,10000).
% 0.45/1.09 assign(order,kbo).
% 0.45/1.09 set(lex_order_vars).
% 0.45/1.09 clear(print_given).
% 0.45/1.09
% 0.45/1.09 % formulas(sos). % not echoed (11 formulas)
% 0.45/1.09
% 0.45/1.09 ============================== end of input ==========================
% 0.45/1.09
% 0.45/1.09 % From the command line: assign(max_seconds, 300).
% 0.45/1.09
% 0.45/1.09 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.09
% 0.45/1.09 % Formulas that are not ordinary clauses:
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% 0.45/1.09 ============================== end of process non-clausal formulas ===
% 0.45/1.09
% 0.45/1.09 ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.09
% 0.45/1.09 ============================== PREDICATE ELIMINATION =================
% 0.45/1.09
% 0.45/1.09 ============================== end predicate elimination =============
% 0.45/1.09
% 0.45/1.09 Auto_denials:
% 0.45/1.09 % copying label prove_c_inverse_equals_d to answer in negative clause
% 0.45/1.09
% 0.45/1.09 Term ordering decisions:
% 0.45/1.09
% 0.45/1.09 % Assigning unary symbol inverse kb_weight 0 and highest precedence (9).
% 0.45/1.09 Function symbol KB weights: identity=1. a=1. b=1. c=1. d=1. multiply=1. inverse=0.
% 0.45/1.09
% 0.45/1.09 ============================== end of process initial clauses ========
% 0.45/1.09
% 0.45/1.09 ============================== CLAUSES FOR SEARCH ====================
% 0.45/1.09
% 0.45/1.09 ============================== end of clauses for search =============
% 0.45/1.09
% 0.45/1.09 ============================== SEARCH ================================
% 0.45/1.09
% 0.45/1.09 % Starting search at 0.01 seconds.
% 0.45/1.09
% 0.45/1.09 ============================== PROOF =================================
% 0.45/1.09 % SZS status Unsatisfiable
% 0.45/1.09 % SZS output start Refutation
% 0.45/1.09
% 0.45/1.09 % Proof 1 at 0.02 (+ 0.00) seconds: prove_c_inverse_equals_d.
% 0.45/1.09 % Length of proof is 17.
% 0.45/1.09 % Level of proof is 4.
% 0.45/1.09 % Maximum clause weight is 16.000.
% 0.45/1.09 % Given clauses 14.
% 0.45/1.09
% 0.45/1.09 1 product(identity,A,A) # label(left_identity) # label(axiom). [assumption].
% 0.45/1.09 2 product(A,identity,A) # label(right_identity) # label(axiom). [assumption].
% 0.45/1.09 3 product(a,b,c) # label(a_multiply_b_is_c) # label(hypothesis). [assumption].
% 0.45/1.09 4 product(inverse(A),A,identity) # label(left_inverse) # label(axiom). [assumption].
% 0.45/1.09 5 product(A,inverse(A),identity) # label(right_inverse) # label(axiom). [assumption].
% 0.45/1.09 6 product(A,B,multiply(A,B)) # label(total_function1) # label(axiom). [assumption].
% 0.45/1.09 7 product(inverse(b),inverse(a),d) # label(inverse_b_multiply_inverse_a_is_d) # label(hypothesis). [assumption].
% 0.45/1.09 8 inverse(c) != d # label(prove_c_inverse_equals_d) # label(negated_conjecture) # answer(prove_c_inverse_equals_d). [assumption].
% 0.45/1.09 9 -product(A,B,C) | -product(A,B,D) | C = D # label(total_function2) # label(axiom). [assumption].
% 0.45/1.09 10 -product(A,B,C) | -product(B,D,E) | -product(C,D,F) | product(A,E,F) # label(associativity1) # label(axiom). [assumption].
% 0.45/1.09 11 -product(A,B,C) | -product(B,D,E) | -product(A,E,F) | product(C,D,F) # label(associativity2) # label(axiom). [assumption].
% 0.45/1.09 17 multiply(identity,A) = A. [hyper(9,a,6,a,b,1,a)].
% 0.45/1.09 20 -product(d,identity,inverse(c)) # answer(prove_c_inverse_equals_d). [ur(9,b,2,a,c,8,a)].
% 0.45/1.09 40 product(inverse(a),c,b). [hyper(10,a,4,a,b,3,a,c,6,a),rewrite([17(6)])].
% 0.45/1.09 64 -product(d,c,identity) # answer(prove_c_inverse_equals_d). [ur(10,b,5,a,c,1,a,d,20,a)].
% 0.45/1.09 72 -product(inverse(a),c,b) # answer(prove_c_inverse_equals_d). [ur(11,a,7,a,c,4,a,d,64,a)].
% 0.45/1.09 73 $F # answer(prove_c_inverse_equals_d). [resolve(72,a,40,a)].
% 0.45/1.09
% 0.45/1.09 % SZS output end Refutation
% 0.45/1.09 ============================== end of proof ==========================
% 0.45/1.09
% 0.45/1.09 ============================== STATISTICS ============================
% 0.45/1.09
% 0.45/1.09 Given=14. Generated=302. Kept=72. proofs=1.
% 0.45/1.09 Usable=14. Sos=55. Demods=7. Limbo=2, Disabled=11. Hints=0.
% 0.45/1.09 Megabytes=0.07.
% 0.45/1.09 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.45/1.09
% 0.45/1.09 ============================== end of statistics =====================
% 0.45/1.09
% 0.45/1.09 ============================== end of search =========================
% 0.45/1.09
% 0.45/1.09 THEOREM PROVED
% 0.45/1.09 % SZS status Unsatisfiable
% 0.45/1.09
% 0.45/1.09 Exiting with 1 proof.
% 0.45/1.09
% 0.45/1.09 Process 18914 exit (max_proofs) Tue Jun 14 09:50:20 2022
% 0.45/1.09 Prover9 interrupted
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