TSTP Solution File: GRP188-2 by Prover9---1109a
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- Process Solution
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% File : Prover9---1109a
% Problem : GRP188-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n013.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 11:18:04 EDT 2022
% Result : Unsatisfiable 0.69s 0.98s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : GRP188-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 04:38:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/0.98 ============================== Prover9 ===============================
% 0.69/0.98 Prover9 (32) version 2009-11A, November 2009.
% 0.69/0.98 Process 10480 was started by sandbox on n013.cluster.edu,
% 0.69/0.98 Mon Jun 13 04:38:29 2022
% 0.69/0.98 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10327_n013.cluster.edu".
% 0.69/0.98 ============================== end of head ===========================
% 0.69/0.98
% 0.69/0.98 ============================== INPUT =================================
% 0.69/0.98
% 0.69/0.98 % Reading from file /tmp/Prover9_10327_n013.cluster.edu
% 0.69/0.98
% 0.69/0.98 set(prolog_style_variables).
% 0.69/0.98 set(auto2).
% 0.69/0.98 % set(auto2) -> set(auto).
% 0.69/0.98 % set(auto) -> set(auto_inference).
% 0.69/0.98 % set(auto) -> set(auto_setup).
% 0.69/0.98 % set(auto_setup) -> set(predicate_elim).
% 0.69/0.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.69/0.98 % set(auto) -> set(auto_limits).
% 0.69/0.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.69/0.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.69/0.98 % set(auto) -> set(auto_denials).
% 0.69/0.98 % set(auto) -> set(auto_process).
% 0.69/0.98 % set(auto2) -> assign(new_constants, 1).
% 0.69/0.98 % set(auto2) -> assign(fold_denial_max, 3).
% 0.69/0.98 % set(auto2) -> assign(max_weight, "200.000").
% 0.69/0.98 % set(auto2) -> assign(max_hours, 1).
% 0.69/0.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.69/0.98 % set(auto2) -> assign(max_seconds, 0).
% 0.69/0.98 % set(auto2) -> assign(max_minutes, 5).
% 0.69/0.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.69/0.98 % set(auto2) -> set(sort_initial_sos).
% 0.69/0.98 % set(auto2) -> assign(sos_limit, -1).
% 0.69/0.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.69/0.98 % set(auto2) -> assign(max_megs, 400).
% 0.69/0.98 % set(auto2) -> assign(stats, some).
% 0.69/0.98 % set(auto2) -> clear(echo_input).
% 0.69/0.98 % set(auto2) -> set(quiet).
% 0.69/0.98 % set(auto2) -> clear(print_initial_clauses).
% 0.69/0.98 % set(auto2) -> clear(print_given).
% 0.69/0.98 assign(lrs_ticks,-1).
% 0.69/0.98 assign(sos_limit,10000).
% 0.69/0.98 assign(order,kbo).
% 0.69/0.98 set(lex_order_vars).
% 0.69/0.98 clear(print_given).
% 0.69/0.98
% 0.69/0.98 % formulas(sos). % not echoed (19 formulas)
% 0.69/0.98
% 0.69/0.98 ============================== end of input ==========================
% 0.69/0.98
% 0.69/0.98 % From the command line: assign(max_seconds, 300).
% 0.69/0.98
% 0.69/0.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.69/0.98
% 0.69/0.98 % Formulas that are not ordinary clauses:
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% 0.69/0.98 ============================== end of process non-clausal formulas ===
% 0.69/0.98
% 0.69/0.98 ============================== PROCESS INITIAL CLAUSES ===============
% 0.69/0.98
% 0.69/0.98 ============================== PREDICATE ELIMINATION =================
% 0.69/0.98
% 0.69/0.98 ============================== end predicate elimination =============
% 0.69/0.98
% 0.69/0.98 Auto_denials:
% 0.69/0.98 % copying label prove_p38a to answer in negative clause
% 0.69/0.98
% 0.69/0.98 Term ordering decisions:
% 0.69/0.98
% 0.69/0.98 % Assigning unary symbol inverse kb_weight 0 and highest precedence (8).
% 0.69/0.98 Function symbol KB weights: identity=1. a=1. b=1. multiply=1. greatest_lower_bound=1. least_upper_bound=1. inverse=0.
% 0.69/0.98
% 0.69/0.98 ============================== PROOF =================================
% 0.69/0.98 % SZS status Unsatisfiable
% 0.69/0.98 % SZS output start Refutation
% 0.69/0.98
% 0.69/0.98 % Proof 1 at 0.01 (+ 0.00) seconds: prove_p38a.
% 0.69/0.98 % Length of proof is 6.
% 0.69/0.98 % Level of proof is 2.
% 0.69/0.98 % Maximum clause weight is 11.000.
% 0.69/0.98 % Given clauses 0.
% 0.69/0.98
% 0.69/0.98 3 least_upper_bound(A,A) = A # label(idempotence_of_lub) # label(axiom). [assumption].
% 0.69/0.98 8 least_upper_bound(A,B) = least_upper_bound(B,A) # label(symmetry_of_lub) # label(axiom). [assumption].
% 0.69/0.98 15 least_upper_bound(A,least_upper_bound(B,C)) = least_upper_bound(least_upper_bound(A,B),C) # label(associativity_of_lub) # label(axiom). [assumption].
% 0.69/0.98 16 least_upper_bound(A,least_upper_bound(B,C)) = least_upper_bound(C,least_upper_bound(A,B)). [copy(15),rewrite([8(4)])].
% 0.69/0.98 25 least_upper_bound(b,least_upper_bound(a,b)) != least_upper_bound(a,b) # label(prove_p38a) # label(negated_conjecture) # answer(prove_p38a). [assumption].
% 0.69/0.98 26 $F # answer(prove_p38a). [copy(25),rewrite([16(5,R),3(4)]),xx(a)].
% 0.69/0.98
% 0.69/0.98 % SZS output end Refutation
% 0.69/0.98 ============================== end of proof ==========================
% 0.69/0.98
% 0.69/0.98 ============================== STATISTICS ============================
% 0.69/0.98
% 0.69/0.98 Given=0. Generated=19. Kept=18. proofs=1.
% 0.69/0.98 Usable=0. Sos=0. Demods=18. Limbo=18, Disabled=19. Hints=0.
% 0.69/0.98 Megabytes=0.03.
% 0.69/0.98 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.69/0.98
% 0.69/0.98 ============================== end of statistics =====================
% 0.69/0.98
% 0.69/0.98 ============================== end of search =========================
% 0.69/0.98
% 0.69/0.98 THEOREM PROVED
% 0.69/0.98 % SZS status Unsatisfiable
% 0.69/0.98
% 0.69/0.98 Exiting with 1 proof.
% 0.69/0.98
% 0.69/0.98 Process 10480 exit (max_proofs) Mon Jun 13 04:38:29 2022
% 0.69/0.98 Prover9 interrupted
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