TSTP Solution File: LAT035-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT035-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.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 06:25:13 EDT 2022
% Result : Unsatisfiable 0.45s 0.99s
% 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
% 0.12/0.12 % Problem : LAT035-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n003.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 : Wed Jun 29 20:01:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/0.99 ============================== Prover9 ===============================
% 0.45/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.45/0.99 Process 5727 was started by sandbox on n003.cluster.edu,
% 0.45/0.99 Wed Jun 29 20:01:07 2022
% 0.45/0.99 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_5574_n003.cluster.edu".
% 0.45/0.99 ============================== end of head ===========================
% 0.45/0.99
% 0.45/0.99 ============================== INPUT =================================
% 0.45/0.99
% 0.45/0.99 % Reading from file /tmp/Prover9_5574_n003.cluster.edu
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% 0.45/0.99 set(prolog_style_variables).
% 0.45/0.99 set(auto2).
% 0.45/0.99 % set(auto2) -> set(auto).
% 0.45/0.99 % set(auto) -> set(auto_inference).
% 0.45/0.99 % set(auto) -> set(auto_setup).
% 0.45/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.45/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/0.99 % set(auto) -> set(auto_limits).
% 0.45/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/0.99 % set(auto) -> set(auto_denials).
% 0.45/0.99 % set(auto) -> set(auto_process).
% 0.45/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.45/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.45/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.45/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.45/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.45/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.45/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.45/0.99 % set(auto2) -> assign(stats, some).
% 0.45/0.99 % set(auto2) -> clear(echo_input).
% 0.45/0.99 % set(auto2) -> set(quiet).
% 0.45/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.45/0.99 % set(auto2) -> clear(print_given).
% 0.45/0.99 assign(lrs_ticks,-1).
% 0.45/0.99 assign(sos_limit,10000).
% 0.45/0.99 assign(order,kbo).
% 0.45/0.99 set(lex_order_vars).
% 0.45/0.99 clear(print_given).
% 0.45/0.99
% 0.45/0.99 % formulas(sos). % not echoed (20 formulas)
% 0.45/0.99
% 0.45/0.99 ============================== end of input ==========================
% 0.45/0.99
% 0.45/0.99 % From the command line: assign(max_seconds, 300).
% 0.45/0.99
% 0.45/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/0.99
% 0.45/0.99 % Formulas that are not ordinary clauses:
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% 0.45/0.99 ============================== end of process non-clausal formulas ===
% 0.45/0.99
% 0.45/0.99 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.45/0.99 ============================== PREDICATE ELIMINATION =================
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% 0.45/0.99 ============================== end predicate elimination =============
% 0.45/0.99
% 0.45/0.99 Auto_denials:
% 0.45/0.99 % copying label comp_join_hemimorphism to answer in negative clause
% 0.45/0.99
% 0.45/0.99 Term ordering decisions:
% 0.45/0.99 Function symbol KB weights: n0=1. n1=1. aa=1. bb=1. meet=1. join=1. k=1. f=1.
% 0.45/0.99
% 0.45/0.99 ============================== PROOF =================================
% 0.45/0.99 % SZS status Unsatisfiable
% 0.45/0.99 % SZS output start Refutation
% 0.45/0.99
% 0.45/0.99 % Proof 1 at 0.01 (+ 0.00) seconds: comp_join_hemimorphism.
% 0.45/0.99 % Length of proof is 8.
% 0.45/0.99 % Level of proof is 2.
% 0.45/0.99 % Maximum clause weight is 10.000.
% 0.45/0.99 % Given clauses 0.
% 0.45/0.99
% 0.45/0.99 1 k(n0) = n1 # label(k_on_bottom) # label(axiom). [assumption].
% 0.45/0.99 3 f(n1) = n0 # label(f_on_top) # label(axiom). [assumption].
% 0.45/0.99 14 k(join(A,B)) = meet(k(A),k(B)) # label(k_on_join) # label(axiom). [assumption].
% 0.45/0.99 15 meet(k(A),k(B)) = k(join(A,B)). [copy(14),flip(a)].
% 0.45/0.99 18 f(meet(A,B)) = join(f(A),f(B)) # label(f_on_meet) # label(axiom). [assumption].
% 0.45/0.99 19 join(f(A),f(B)) = f(meet(A,B)). [copy(18),flip(a)].
% 0.45/0.99 24 f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb))) | f(k(n0)) != n0 # label(comp_join_hemimorphism) # label(negated_conjecture) # answer(comp_join_hemimorphism). [assumption].
% 0.45/0.99 25 $F # answer(comp_join_hemimorphism). [copy(24),rewrite([19(12),15(10),1(13),3(13)]),xx(a),xx(b)].
% 0.45/0.99
% 0.45/0.99 % SZS output end Refutation
% 0.45/0.99 ============================== end of proof ==========================
% 0.45/0.99
% 0.45/0.99 ============================== STATISTICS ============================
% 0.45/0.99
% 0.45/0.99 Given=0. Generated=19. Kept=18. proofs=1.
% 0.45/0.99 Usable=0. Sos=0. Demods=18. Limbo=18, Disabled=19. Hints=0.
% 0.45/0.99 Megabytes=0.03.
% 0.45/0.99 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.45/0.99
% 0.45/0.99 ============================== end of statistics =====================
% 0.45/0.99
% 0.45/0.99 ============================== end of search =========================
% 0.45/0.99
% 0.45/0.99 THEOREM PROVED
% 0.45/0.99 % SZS status Unsatisfiable
% 0.45/0.99
% 0.45/0.99 Exiting with 1 proof.
% 0.45/0.99
% 0.45/0.99 Process 5727 exit (max_proofs) Wed Jun 29 20:01:07 2022
% 0.45/0.99 Prover9 interrupted
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