TSTP Solution File: GRP166-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP166-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.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 11:17:49 EDT 2022
% Result : Unsatisfiable 0.75s 1.02s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP166-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n023.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 02:14:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.75/1.02 ============================== Prover9 ===============================
% 0.75/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.02 Process 582 was started by sandbox on n023.cluster.edu,
% 0.75/1.02 Tue Jun 14 02:14:36 2022
% 0.75/1.02 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32699_n023.cluster.edu".
% 0.75/1.02 ============================== end of head ===========================
% 0.75/1.02
% 0.75/1.02 ============================== INPUT =================================
% 0.75/1.02
% 0.75/1.02 % Reading from file /tmp/Prover9_32699_n023.cluster.edu
% 0.75/1.02
% 0.75/1.02 set(prolog_style_variables).
% 0.75/1.02 set(auto2).
% 0.75/1.02 % set(auto2) -> set(auto).
% 0.75/1.02 % set(auto) -> set(auto_inference).
% 0.75/1.02 % set(auto) -> set(auto_setup).
% 0.75/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.75/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.02 % set(auto) -> set(auto_limits).
% 0.75/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.02 % set(auto) -> set(auto_denials).
% 0.75/1.02 % set(auto) -> set(auto_process).
% 0.75/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.75/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.75/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.75/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.75/1.02 % set(auto2) -> assign(stats, some).
% 0.75/1.02 % set(auto2) -> clear(echo_input).
% 0.75/1.02 % set(auto2) -> set(quiet).
% 0.75/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.02 % set(auto2) -> clear(print_given).
% 0.75/1.02 assign(lrs_ticks,-1).
% 0.75/1.02 assign(sos_limit,10000).
% 0.75/1.02 assign(order,kbo).
% 0.75/1.02 set(lex_order_vars).
% 0.75/1.02 clear(print_given).
% 0.75/1.02
% 0.75/1.02 % formulas(sos). % not echoed (18 formulas)
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% 0.75/1.02 ============================== end of input ==========================
% 0.75/1.02
% 0.75/1.02 % From the command line: assign(max_seconds, 300).
% 0.75/1.02
% 0.75/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.02
% 0.75/1.02 % Formulas that are not ordinary clauses:
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% 0.75/1.02 ============================== end of process non-clausal formulas ===
% 0.75/1.02
% 0.75/1.02 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.75/1.02 ============================== PREDICATE ELIMINATION =================
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% 0.75/1.02 ============================== end predicate elimination =============
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% 0.75/1.02 Auto_denials:
% 0.75/1.02 % copying label prove_lat3a to answer in negative clause
% 0.75/1.02
% 0.75/1.02 Term ordering decisions:
% 0.75/1.02
% 0.75/1.02 % Assigning unary symbol inverse kb_weight 0 and highest precedence (8).
% 0.75/1.02 Function symbol KB weights: identity=1. a=1. b=1. multiply=1. least_upper_bound=1. greatest_lower_bound=1. inverse=0.
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% 0.75/1.02 ============================== end of process initial clauses ========
% 0.75/1.02
% 0.75/1.02 ============================== CLAUSES FOR SEARCH ====================
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% 0.75/1.02 ============================== end of clauses for search =============
% 0.75/1.02
% 0.75/1.02 ============================== SEARCH ================================
% 0.75/1.02
% 0.75/1.02 % Starting search at 0.01 seconds.
% 0.75/1.02
% 0.75/1.02 ============================== PROOF =================================
% 0.75/1.02 % SZS status Unsatisfiable
% 0.75/1.02 % SZS output start Refutation
% 0.75/1.02
% 0.75/1.02 % Proof 1 at 0.02 (+ 0.00) seconds: prove_lat3a.
% 0.75/1.02 % Length of proof is 9.
% 0.75/1.02 % Level of proof is 3.
% 0.75/1.02 % Maximum clause weight is 13.000.
% 0.75/1.02 % Given clauses 14.
% 0.75/1.02
% 0.75/1.02 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 0.75/1.02 5 least_upper_bound(b,identity) = b # label(lat3a_2) # label(hypothesis). [assumption].
% 0.75/1.02 8 least_upper_bound(A,B) = least_upper_bound(B,A) # label(symmetry_of_lub) # label(axiom). [assumption].
% 0.75/1.02 20 multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)) # label(monotony_lub2) # label(axiom). [assumption].
% 0.75/1.02 21 least_upper_bound(multiply(A,B),multiply(C,B)) = multiply(least_upper_bound(A,C),B). [copy(20),flip(a)].
% 0.75/1.02 24 least_upper_bound(a,multiply(b,a)) != multiply(b,a) # label(prove_lat3a) # label(negated_conjecture) # answer(prove_lat3a). [assumption].
% 0.75/1.02 25 least_upper_bound(identity,b) = b. [back_rewrite(5),rewrite([8(3)])].
% 0.75/1.02 34 least_upper_bound(A,multiply(B,A)) = multiply(least_upper_bound(B,identity),A). [para(1(a,1),21(a,1,1)),rewrite([8(4)])].
% 0.75/1.02 38 $F # answer(prove_lat3a). [back_rewrite(24),rewrite([34(5),8(3),25(3)]),xx(a)].
% 0.75/1.02
% 0.75/1.02 % SZS output end Refutation
% 0.75/1.02 ============================== end of proof ==========================
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% 0.75/1.02 ============================== STATISTICS ============================
% 0.75/1.02
% 0.75/1.02 Given=14. Generated=181. Kept=31. proofs=1.
% 0.75/1.02 Usable=14. Sos=10. Demods=25. Limbo=4, Disabled=21. Hints=0.
% 0.75/1.02 Megabytes=0.05.
% 0.75/1.02 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.75/1.02
% 0.75/1.02 ============================== end of statistics =====================
% 0.75/1.02
% 0.75/1.02 ============================== end of search =========================
% 0.75/1.02
% 0.75/1.02 THEOREM PROVED
% 0.75/1.02 % SZS status Unsatisfiable
% 0.75/1.02
% 0.75/1.02 Exiting with 1 proof.
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% 0.75/1.02 Process 582 exit (max_proofs) Tue Jun 14 02:14:36 2022
% 0.75/1.02 Prover9 interrupted
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