TSTP Solution File: GRP173-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP173-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 11:17:54 EDT 2022
% Result : Unsatisfiable 0.45s 1.00s
% 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
% 0.03/0.12 % Problem : GRP173-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n028.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 : Mon Jun 13 19:23:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.45/1.00 ============================== Prover9 ===============================
% 0.45/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.00 Process 1468 was started by sandbox2 on n028.cluster.edu,
% 0.45/1.00 Mon Jun 13 19:23:23 2022
% 0.45/1.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_1314_n028.cluster.edu".
% 0.45/1.00 ============================== end of head ===========================
% 0.45/1.00
% 0.45/1.00 ============================== INPUT =================================
% 0.45/1.00
% 0.45/1.00 % Reading from file /tmp/Prover9_1314_n028.cluster.edu
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% 0.45/1.00 set(prolog_style_variables).
% 0.45/1.00 set(auto2).
% 0.45/1.00 % set(auto2) -> set(auto).
% 0.45/1.00 % set(auto) -> set(auto_inference).
% 0.45/1.00 % set(auto) -> set(auto_setup).
% 0.45/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.45/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.00 % set(auto) -> set(auto_limits).
% 0.45/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.00 % set(auto) -> set(auto_denials).
% 0.45/1.00 % set(auto) -> set(auto_process).
% 0.45/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.45/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.45/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.45/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.45/1.00 % set(auto2) -> assign(stats, some).
% 0.45/1.00 % set(auto2) -> clear(echo_input).
% 0.45/1.00 % set(auto2) -> set(quiet).
% 0.45/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.00 % set(auto2) -> clear(print_given).
% 0.45/1.00 assign(lrs_ticks,-1).
% 0.45/1.00 assign(sos_limit,10000).
% 0.45/1.00 assign(order,kbo).
% 0.45/1.00 set(lex_order_vars).
% 0.45/1.00 clear(print_given).
% 0.45/1.00
% 0.45/1.00 % formulas(sos). % not echoed (18 formulas)
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% 0.45/1.00 ============================== end of input ==========================
% 0.45/1.00
% 0.45/1.00 % From the command line: assign(max_seconds, 300).
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% 0.45/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.00
% 0.45/1.00 % Formulas that are not ordinary clauses:
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% 0.45/1.00 ============================== end of process non-clausal formulas ===
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% 0.45/1.00 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.45/1.00 ============================== PREDICATE ELIMINATION =================
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% 0.45/1.00 ============================== end predicate elimination =============
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% 0.45/1.00 Auto_denials:
% 0.45/1.00 % copying label prove_p05a to answer in negative clause
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% 0.45/1.00 Term ordering decisions:
% 0.45/1.00
% 0.45/1.00 % Assigning unary symbol inverse kb_weight 0 and highest precedence (7).
% 0.45/1.00 Function symbol KB weights: identity=1. a=1. multiply=1. least_upper_bound=1. greatest_lower_bound=1. inverse=0.
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% 0.45/1.00 ============================== end of process initial clauses ========
% 0.45/1.00
% 0.45/1.00 ============================== CLAUSES FOR SEARCH ====================
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% 0.45/1.00 ============================== end of clauses for search =============
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% 0.45/1.00 ============================== SEARCH ================================
% 0.45/1.00
% 0.45/1.00 % Starting search at 0.01 seconds.
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% 0.45/1.00 ============================== PROOF =================================
% 0.45/1.00 % SZS status Unsatisfiable
% 0.45/1.00 % SZS output start Refutation
% 0.45/1.00
% 0.45/1.00 % Proof 1 at 0.02 (+ 0.00) seconds: prove_p05a.
% 0.45/1.00 % Length of proof is 12.
% 0.45/1.00 % Level of proof is 4.
% 0.45/1.00 % Maximum clause weight is 13.000.
% 0.45/1.00 % Given clauses 23.
% 0.45/1.00
% 0.45/1.00 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 0.45/1.00 4 least_upper_bound(identity,a) = identity # label(p05a_1) # label(hypothesis). [assumption].
% 0.45/1.00 5 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 0.45/1.00 6 least_upper_bound(identity,inverse(a)) = identity # label(p05a_2) # label(hypothesis). [assumption].
% 0.45/1.00 8 least_upper_bound(A,B) = least_upper_bound(B,A) # label(symmetry_of_lub) # label(axiom). [assumption].
% 0.45/1.00 20 multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)) # label(monotony_lub2) # label(axiom). [assumption].
% 0.45/1.00 21 least_upper_bound(multiply(A,B),multiply(C,B)) = multiply(least_upper_bound(A,C),B). [copy(20),flip(a)].
% 0.45/1.00 24 identity != a # label(prove_p05a) # label(negated_conjecture) # answer(prove_p05a). [assumption].
% 0.45/1.00 25 a != identity # answer(prove_p05a). [copy(24),flip(a)].
% 0.45/1.00 36 least_upper_bound(A,multiply(inverse(a),A)) = A. [para(6(a,1),21(a,2,1)),rewrite([1(2),1(6)])].
% 0.45/1.00 56 a = identity. [para(5(a,1),36(a,1,2)),rewrite([8(3),4(3)]),flip(a)].
% 0.45/1.00 57 $F # answer(prove_p05a). [resolve(56,a,25,a)].
% 0.45/1.00
% 0.45/1.00 % SZS output end Refutation
% 0.45/1.00 ============================== end of proof ==========================
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% 0.45/1.00 ============================== STATISTICS ============================
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% 0.45/1.00 Given=23. Generated=267. Kept=49. proofs=1.
% 0.45/1.00 Usable=23. Sos=23. Demods=39. Limbo=0, Disabled=20. Hints=0.
% 0.45/1.00 Megabytes=0.07.
% 0.45/1.00 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.45/1.00
% 0.45/1.00 ============================== end of statistics =====================
% 0.45/1.00
% 0.45/1.00 ============================== end of search =========================
% 0.45/1.00
% 0.45/1.00 THEOREM PROVED
% 0.45/1.00 % SZS status Unsatisfiable
% 0.45/1.00
% 0.45/1.00 Exiting with 1 proof.
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% 0.45/1.00 Process 1468 exit (max_proofs) Mon Jun 13 19:23:23 2022
% 0.45/1.00 Prover9 interrupted
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