TSTP Solution File: GRP013-1 by Prover9---1109a
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- Process Solution
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% File : Prover9---1109a
% Problem : GRP013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 11:16:42 EDT 2022
% Result : Unsatisfiable 0.72s 1.00s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 11:20:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.00 ============================== Prover9 ===============================
% 0.72/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.72/1.00 Process 14250 was started by sandbox2 on n024.cluster.edu,
% 0.72/1.00 Mon Jun 13 11:20:49 2022
% 0.72/1.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_14097_n024.cluster.edu".
% 0.72/1.00 ============================== end of head ===========================
% 0.72/1.00
% 0.72/1.00 ============================== INPUT =================================
% 0.72/1.00
% 0.72/1.00 % Reading from file /tmp/Prover9_14097_n024.cluster.edu
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% 0.72/1.00 set(prolog_style_variables).
% 0.72/1.00 set(auto2).
% 0.72/1.00 % set(auto2) -> set(auto).
% 0.72/1.00 % set(auto) -> set(auto_inference).
% 0.72/1.00 % set(auto) -> set(auto_setup).
% 0.72/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.72/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.72/1.00 % set(auto) -> set(auto_limits).
% 0.72/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.72/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.72/1.00 % set(auto) -> set(auto_denials).
% 0.72/1.00 % set(auto) -> set(auto_process).
% 0.72/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.72/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.72/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.72/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.72/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.72/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.72/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.72/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.72/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.72/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.72/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.72/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.72/1.00 % set(auto2) -> assign(stats, some).
% 0.72/1.00 % set(auto2) -> clear(echo_input).
% 0.72/1.00 % set(auto2) -> set(quiet).
% 0.72/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.72/1.00 % set(auto2) -> clear(print_given).
% 0.72/1.00 assign(lrs_ticks,-1).
% 0.72/1.00 assign(sos_limit,10000).
% 0.72/1.00 assign(order,kbo).
% 0.72/1.00 set(lex_order_vars).
% 0.72/1.00 clear(print_given).
% 0.72/1.00
% 0.72/1.00 % formulas(sos). % not echoed (13 formulas)
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% 0.72/1.00 ============================== end of input ==========================
% 0.72/1.00
% 0.72/1.00 % From the command line: assign(max_seconds, 300).
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% 0.72/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
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% 0.72/1.00 % Formulas that are not ordinary clauses:
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% 0.72/1.00 ============================== end of process non-clausal formulas ===
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% 0.72/1.00 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.72/1.00 ============================== PREDICATE ELIMINATION =================
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% 0.72/1.00 ============================== end predicate elimination =============
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% 0.72/1.00 Auto_denials:
% 0.72/1.00 % copying label prove_c_times_d_is_identity to answer in negative clause
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% 0.72/1.00 Term ordering decisions:
% 0.72/1.00
% 0.72/1.00 % Assigning unary symbol inverse kb_weight 0 and highest precedence (9).
% 0.72/1.00 Function symbol KB weights: identity=1. a=1. b=1. c=1. d=1. multiply=1. inverse=0.
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% 0.72/1.00 ============================== end of process initial clauses ========
% 0.72/1.00
% 0.72/1.00 ============================== CLAUSES FOR SEARCH ====================
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% 0.72/1.00 ============================== end of clauses for search =============
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% 0.72/1.00 ============================== SEARCH ================================
% 0.72/1.00
% 0.72/1.00 % Starting search at 0.01 seconds.
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% 0.72/1.00 ============================== PROOF =================================
% 0.72/1.00 % SZS status Unsatisfiable
% 0.72/1.00 % SZS output start Refutation
% 0.72/1.00
% 0.72/1.00 % Proof 1 at 0.02 (+ 0.00) seconds: prove_c_times_d_is_identity.
% 0.72/1.00 % Length of proof is 17.
% 0.72/1.00 % Level of proof is 3.
% 0.72/1.00 % Maximum clause weight is 16.000.
% 0.72/1.00 % Given clauses 14.
% 0.72/1.00
% 0.72/1.00 1 product(identity,A,A) # label(left_identity) # label(axiom). [assumption].
% 0.72/1.00 3 product(A,A,identity) # label(squareness) # label(hypothesis). [assumption].
% 0.72/1.00 4 product(a,b,c) # label(a_times_b_is_c) # label(hypothesis). [assumption].
% 0.72/1.00 5 product(inverse(A),A,identity) # label(left_inverse) # label(axiom). [assumption].
% 0.72/1.00 6 product(A,inverse(A),identity) # label(right_inverse) # label(axiom). [assumption].
% 0.72/1.00 7 product(A,B,multiply(A,B)) # label(total_function1) # label(axiom). [assumption].
% 0.72/1.00 8 product(inverse(a),inverse(b),d) # label(inverse_a_times_inverse_b_is_d) # label(hypothesis). [assumption].
% 0.72/1.00 9 -product(c,d,identity) # label(prove_c_times_d_is_identity) # label(negated_conjecture) # answer(prove_c_times_d_is_identity). [assumption].
% 0.72/1.00 10 -product(inverse(A),inverse(B),C) | product(A,C,B) # label(inverses_have_property) # label(hypothesis). [assumption].
% 0.72/1.00 11 -product(A,B,C) | -product(A,B,D) | C = D # label(total_function2) # label(axiom). [assumption].
% 0.72/1.00 13 -product(A,B,C) | -product(B,D,E) | -product(A,E,F) | product(C,D,F) # label(associativity2) # label(axiom). [assumption].
% 0.72/1.00 14 product(a,d,b). [hyper(10,a,8,a)].
% 0.72/1.00 23 multiply(A,A) = identity. [hyper(11,a,7,a,b,3,a)].
% 0.72/1.00 26 inverse(identity) = identity. [hyper(11,a,6,a,b,1,a),flip(a)].
% 0.72/1.00 102 -product(identity,d,c) # answer(prove_c_times_d_is_identity). [ur(13,b,3,a,c,5,a,d,9,a),rewrite([26(2)])].
% 0.72/1.00 113 product(identity,d,c). [hyper(13,a,7,a,b,14,a,c,4,a),rewrite([23(3)])].
% 0.72/1.00 114 $F # answer(prove_c_times_d_is_identity). [resolve(113,a,102,a)].
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% 0.72/1.00 % SZS output end Refutation
% 0.72/1.00 ============================== end of proof ==========================
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% 0.72/1.00 ============================== STATISTICS ============================
% 0.72/1.00
% 0.72/1.00 Given=14. Generated=470. Kept=113. proofs=1.
% 0.72/1.00 Usable=14. Sos=94. Demods=8. Limbo=3, Disabled=14. Hints=0.
% 0.72/1.00 Megabytes=0.09.
% 0.72/1.00 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.72/1.00
% 0.72/1.00 ============================== end of statistics =====================
% 0.72/1.00
% 0.72/1.00 ============================== end of search =========================
% 0.72/1.00
% 0.72/1.00 THEOREM PROVED
% 0.72/1.00 % SZS status Unsatisfiable
% 0.72/1.00
% 0.72/1.00 Exiting with 1 proof.
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% 0.72/1.00 Process 14250 exit (max_proofs) Mon Jun 13 11:20:49 2022
% 0.72/1.00 Prover9 interrupted
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