TSTP Solution File: REL008-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : REL008-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 : Mon Jul 18 19:53:30 EDT 2022
% Result : Unsatisfiable 0.82s 1.13s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL008-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n027.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 : Fri Jul 8 12:18:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.82/1.13 ============================== Prover9 ===============================
% 0.82/1.13 Prover9 (32) version 2009-11A, November 2009.
% 0.82/1.13 Process 25315 was started by sandbox2 on n027.cluster.edu,
% 0.82/1.13 Fri Jul 8 12:18:46 2022
% 0.82/1.13 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_25161_n027.cluster.edu".
% 0.82/1.13 ============================== end of head ===========================
% 0.82/1.13
% 0.82/1.13 ============================== INPUT =================================
% 0.82/1.13
% 0.82/1.13 % Reading from file /tmp/Prover9_25161_n027.cluster.edu
% 0.82/1.13
% 0.82/1.13 set(prolog_style_variables).
% 0.82/1.13 set(auto2).
% 0.82/1.13 % set(auto2) -> set(auto).
% 0.82/1.13 % set(auto) -> set(auto_inference).
% 0.82/1.13 % set(auto) -> set(auto_setup).
% 0.82/1.13 % set(auto_setup) -> set(predicate_elim).
% 0.82/1.13 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.82/1.13 % set(auto) -> set(auto_limits).
% 0.82/1.13 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.82/1.13 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.82/1.13 % set(auto) -> set(auto_denials).
% 0.82/1.13 % set(auto) -> set(auto_process).
% 0.82/1.13 % set(auto2) -> assign(new_constants, 1).
% 0.82/1.13 % set(auto2) -> assign(fold_denial_max, 3).
% 0.82/1.13 % set(auto2) -> assign(max_weight, "200.000").
% 0.82/1.13 % set(auto2) -> assign(max_hours, 1).
% 0.82/1.13 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.82/1.13 % set(auto2) -> assign(max_seconds, 0).
% 0.82/1.13 % set(auto2) -> assign(max_minutes, 5).
% 0.82/1.13 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.82/1.13 % set(auto2) -> set(sort_initial_sos).
% 0.82/1.13 % set(auto2) -> assign(sos_limit, -1).
% 0.82/1.13 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.82/1.13 % set(auto2) -> assign(max_megs, 400).
% 0.82/1.13 % set(auto2) -> assign(stats, some).
% 0.82/1.13 % set(auto2) -> clear(echo_input).
% 0.82/1.13 % set(auto2) -> set(quiet).
% 0.82/1.13 % set(auto2) -> clear(print_initial_clauses).
% 0.82/1.13 % set(auto2) -> clear(print_given).
% 0.82/1.13 assign(lrs_ticks,-1).
% 0.82/1.13 assign(sos_limit,10000).
% 0.82/1.13 assign(order,kbo).
% 0.82/1.13 set(lex_order_vars).
% 0.82/1.13 clear(print_given).
% 0.82/1.13
% 0.82/1.13 % formulas(sos). % not echoed (14 formulas)
% 0.82/1.13
% 0.82/1.13 ============================== end of input ==========================
% 0.82/1.13
% 0.82/1.13 % From the command line: assign(max_seconds, 300).
% 0.82/1.13
% 0.82/1.13 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.82/1.13
% 0.82/1.13 % Formulas that are not ordinary clauses:
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% 0.82/1.13 ============================== end of process non-clausal formulas ===
% 0.82/1.13
% 0.82/1.13 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.82/1.13 ============================== PREDICATE ELIMINATION =================
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% 0.82/1.13 ============================== end predicate elimination =============
% 0.82/1.13
% 0.82/1.13 Auto_denials:
% 0.82/1.13 % copying label goals_14 to answer in negative clause
% 0.82/1.13
% 0.82/1.13 Term ordering decisions:
% 0.82/1.13 Function symbol KB weights: one=1. top=1. zero=1. sk1=1. sk2=1. sk3=1. join=1. composition=1. meet=1. complement=1. converse=1.
% 0.82/1.13
% 0.82/1.13 ============================== end of process initial clauses ========
% 0.82/1.13
% 0.82/1.13 ============================== CLAUSES FOR SEARCH ====================
% 0.82/1.13
% 0.82/1.13 ============================== end of clauses for search =============
% 0.82/1.13
% 0.82/1.13 ============================== SEARCH ================================
% 0.82/1.13
% 0.82/1.13 % Starting search at 0.01 seconds.
% 0.82/1.13
% 0.82/1.13 ============================== PROOF =================================
% 0.82/1.13 % SZS status Unsatisfiable
% 0.82/1.13 % SZS output start Refutation
% 0.82/1.13
% 0.82/1.13 % Proof 1 at 0.13 (+ 0.01) seconds: goals_14.
% 0.82/1.13 % Length of proof is 15.
% 0.82/1.13 % Level of proof is 5.
% 0.82/1.13 % Maximum clause weight is 17.000.
% 0.82/1.13 % Given clauses 125.
% 0.82/1.13
% 0.82/1.13 2 converse(converse(A)) = A # label(converse_idempotence_8) # label(axiom). [assumption].
% 0.82/1.13 7 join(A,B) = join(B,A) # label(maddux1_join_commutativity_1) # label(axiom). [assumption].
% 0.82/1.13 9 converse(join(A,B)) = join(converse(A),converse(B)) # label(converse_additivity_9) # label(axiom). [assumption].
% 0.82/1.13 10 join(converse(A),converse(B)) = converse(join(A,B)). [copy(9),flip(a)].
% 0.82/1.13 11 converse(composition(A,B)) = composition(converse(B),converse(A)) # label(converse_multiplicativity_10) # label(axiom). [assumption].
% 0.82/1.13 12 composition(converse(A),converse(B)) = converse(composition(B,A)). [copy(11),flip(a)].
% 0.82/1.13 17 composition(join(A,B),C) = join(composition(A,C),composition(B,C)) # label(composition_distributivity_7) # label(axiom). [assumption].
% 0.82/1.13 18 join(composition(A,B),composition(C,B)) = composition(join(A,C),B). [copy(17),flip(a)].
% 0.82/1.13 23 composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)) # label(goals_14) # label(negated_conjecture) # answer(goals_14). [assumption].
% 0.82/1.13 24 join(composition(sk1,sk2),composition(sk1,sk3)) != composition(sk1,join(sk2,sk3)) # answer(goals_14). [copy(23),flip(a)].
% 0.82/1.13 28 converse(composition(converse(A),B)) = composition(converse(B),A). [para(2(a,1),12(a,1,2)),flip(a)].
% 0.82/1.13 32 join(converse(composition(A,B)),composition(C,converse(A))) = composition(join(C,converse(B)),converse(A)). [para(12(a,1),18(a,1,1)),rewrite([7(7)])].
% 0.82/1.13 63 converse(join(A,composition(converse(B),C))) = join(composition(converse(C),B),converse(A)). [para(28(a,1),10(a,1,1)),rewrite([7(7)]),flip(a)].
% 0.82/1.13 665 join(composition(A,B),composition(A,C)) = composition(A,join(B,C)). [para(32(a,1),63(a,1,1)),rewrite([10(3),12(4),2(4),2(4),2(6)]),flip(a)].
% 0.82/1.13 666 $F # answer(goals_14). [resolve(665,a,24,a)].
% 0.82/1.13
% 0.82/1.13 % SZS output end Refutation
% 0.82/1.13 ============================== end of proof ==========================
% 0.82/1.13
% 0.82/1.13 ============================== STATISTICS ============================
% 0.82/1.13
% 0.82/1.13 Given=125. Generated=4263. Kept=655. proofs=1.
% 0.82/1.13 Usable=99. Sos=408. Demods=494. Limbo=5, Disabled=156. Hints=0.
% 0.82/1.13 Megabytes=0.82.
% 0.82/1.13 User_CPU=0.13, System_CPU=0.01, Wall_clock=0.
% 0.82/1.13
% 0.82/1.13 ============================== end of statistics =====================
% 0.82/1.13
% 0.82/1.13 ============================== end of search =========================
% 0.82/1.13
% 0.82/1.13 THEOREM PROVED
% 0.82/1.13 % SZS status Unsatisfiable
% 0.82/1.13
% 0.82/1.13 Exiting with 1 proof.
% 0.82/1.13
% 0.82/1.13 Process 25315 exit (max_proofs) Fri Jul 8 12:18:46 2022
% 0.82/1.13 Prover9 interrupted
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