TSTP Solution File: LAT014-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT014-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 : Sun Jul 17 06:25:07 EDT 2022
% Result : Unsatisfiable 0.48s 0.79s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LAT014-1 : TPTP v8.1.0. Released v2.2.0.
% 0.05/0.10 % Command : tptp2X_and_run_prover9 %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Wed Jun 29 15:35:13 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.48/0.79 ============================== Prover9 ===============================
% 0.48/0.79 Prover9 (32) version 2009-11A, November 2009.
% 0.48/0.79 Process 5994 was started by sandbox2 on n032.cluster.edu,
% 0.48/0.79 Wed Jun 29 15:35:14 2022
% 0.48/0.79 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_5841_n032.cluster.edu".
% 0.48/0.79 ============================== end of head ===========================
% 0.48/0.79
% 0.48/0.79 ============================== INPUT =================================
% 0.48/0.79
% 0.48/0.79 % Reading from file /tmp/Prover9_5841_n032.cluster.edu
% 0.48/0.79
% 0.48/0.79 set(prolog_style_variables).
% 0.48/0.79 set(auto2).
% 0.48/0.79 % set(auto2) -> set(auto).
% 0.48/0.79 % set(auto) -> set(auto_inference).
% 0.48/0.79 % set(auto) -> set(auto_setup).
% 0.48/0.79 % set(auto_setup) -> set(predicate_elim).
% 0.48/0.79 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.48/0.79 % set(auto) -> set(auto_limits).
% 0.48/0.79 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.48/0.79 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.48/0.79 % set(auto) -> set(auto_denials).
% 0.48/0.79 % set(auto) -> set(auto_process).
% 0.48/0.79 % set(auto2) -> assign(new_constants, 1).
% 0.48/0.79 % set(auto2) -> assign(fold_denial_max, 3).
% 0.48/0.79 % set(auto2) -> assign(max_weight, "200.000").
% 0.48/0.79 % set(auto2) -> assign(max_hours, 1).
% 0.48/0.79 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.48/0.79 % set(auto2) -> assign(max_seconds, 0).
% 0.48/0.79 % set(auto2) -> assign(max_minutes, 5).
% 0.48/0.79 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.48/0.79 % set(auto2) -> set(sort_initial_sos).
% 0.48/0.79 % set(auto2) -> assign(sos_limit, -1).
% 0.48/0.79 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.48/0.79 % set(auto2) -> assign(max_megs, 400).
% 0.48/0.79 % set(auto2) -> assign(stats, some).
% 0.48/0.79 % set(auto2) -> clear(echo_input).
% 0.48/0.79 % set(auto2) -> set(quiet).
% 0.48/0.79 % set(auto2) -> clear(print_initial_clauses).
% 0.48/0.79 % set(auto2) -> clear(print_given).
% 0.48/0.79 assign(lrs_ticks,-1).
% 0.48/0.79 assign(sos_limit,10000).
% 0.48/0.79 assign(order,kbo).
% 0.48/0.79 set(lex_order_vars).
% 0.48/0.79 clear(print_given).
% 0.48/0.79
% 0.48/0.79 % formulas(sos). % not echoed (5 formulas)
% 0.48/0.79
% 0.48/0.79 ============================== end of input ==========================
% 0.48/0.79
% 0.48/0.79 % From the command line: assign(max_seconds, 300).
% 0.48/0.79
% 0.48/0.79 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.48/0.79
% 0.48/0.79 % Formulas that are not ordinary clauses:
% 0.48/0.79
% 0.48/0.79 ============================== end of process non-clausal formulas ===
% 0.48/0.79
% 0.48/0.79 ============================== PROCESS INITIAL CLAUSES ===============
% 0.48/0.79
% 0.48/0.79 ============================== PREDICATE ELIMINATION =================
% 0.48/0.79
% 0.48/0.79 ============================== end predicate elimination =============
% 0.48/0.79
% 0.48/0.79 Auto_denials:
% 0.48/0.79 % copying label prove_absorbtion to answer in negative clause
% 0.48/0.79
% 0.48/0.79 Term ordering decisions:
% 0.48/0.79 Function symbol KB weights: a=1. b=1. join=1. meet=1.
% 0.48/0.79
% 0.48/0.79 ============================== end of process initial clauses ========
% 0.48/0.79
% 0.48/0.79 ============================== CLAUSES FOR SEARCH ====================
% 0.48/0.79
% 0.48/0.79 ============================== end of clauses for search =============
% 0.48/0.79
% 0.48/0.79 ============================== SEARCH ================================
% 0.48/0.79
% 0.48/0.79 % Starting search at 0.01 seconds.
% 0.48/0.79
% 0.48/0.79 ============================== PROOF =================================
% 0.48/0.79 % SZS status Unsatisfiable
% 0.48/0.79 % SZS output start Refutation
% 0.48/0.79
% 0.48/0.79 % Proof 1 at 0.01 (+ 0.00) seconds: prove_absorbtion.
% 0.48/0.79 % Length of proof is 5.
% 0.48/0.79 % Level of proof is 2.
% 0.48/0.79 % Maximum clause weight is 11.000.
% 0.48/0.79 % Given clauses 3.
% 0.48/0.79
% 0.48/0.79 2 meet(A,join(B,join(A,C))) = A # label(mckenzie2) # label(axiom). [assumption].
% 0.48/0.79 3 join(join(meet(A,B),meet(B,C)),B) = B # label(mckenzie3) # label(axiom). [assumption].
% 0.48/0.79 5 meet(a,join(a,b)) != a # label(prove_absorbtion) # label(negated_conjecture) # answer(prove_absorbtion). [assumption].
% 0.48/0.79 10 meet(A,join(A,B)) = A. [para(3(a,1),2(a,1,2))].
% 0.48/0.79 11 $F # answer(prove_absorbtion). [resolve(10,a,5,a)].
% 0.48/0.79
% 0.48/0.79 % SZS output end Refutation
% 0.48/0.79 ============================== end of proof ==========================
% 0.48/0.79
% 0.48/0.79 ============================== STATISTICS ============================
% 0.48/0.79
% 0.48/0.79 Given=3. Generated=12. Kept=10. proofs=1.
% 0.48/0.79 Usable=3. Sos=4. Demods=8. Limbo=2, Disabled=5. Hints=0.
% 0.48/0.79 Megabytes=0.03.
% 0.48/0.79 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.48/0.79
% 0.48/0.79 ============================== end of statistics =====================
% 0.48/0.79
% 0.48/0.79 ============================== end of search =========================
% 0.48/0.79
% 0.48/0.79 THEOREM PROVED
% 0.48/0.79 % SZS status Unsatisfiable
% 0.48/0.79
% 0.48/0.79 Exiting with 1 proof.
% 0.48/0.79
% 0.48/0.79 Process 5994 exit (max_proofs) Wed Jun 29 15:35:14 2022
% 0.48/0.79 Prover9 interrupted
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