TSTP Solution File: SWV283-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV283-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.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 : Wed Jul 20 21:11:30 EDT 2022
% Result : Unsatisfiable 0.75s 1.01s
% 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
% 0.07/0.12 % Problem : SWV283-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n029.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 : Wed Jun 15 06:31:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.01 ============================== Prover9 ===============================
% 0.75/1.01 Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.01 Process 3874 was started by sandbox on n029.cluster.edu,
% 0.75/1.01 Wed Jun 15 06:31:57 2022
% 0.75/1.01 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3575_n029.cluster.edu".
% 0.75/1.01 ============================== end of head ===========================
% 0.75/1.01
% 0.75/1.01 ============================== INPUT =================================
% 0.75/1.01
% 0.75/1.01 % Reading from file /tmp/Prover9_3575_n029.cluster.edu
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% 0.75/1.01 set(prolog_style_variables).
% 0.75/1.01 set(auto2).
% 0.75/1.01 % set(auto2) -> set(auto).
% 0.75/1.01 % set(auto) -> set(auto_inference).
% 0.75/1.01 % set(auto) -> set(auto_setup).
% 0.75/1.01 % set(auto_setup) -> set(predicate_elim).
% 0.75/1.01 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.01 % set(auto) -> set(auto_limits).
% 0.75/1.01 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.01 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.01 % set(auto) -> set(auto_denials).
% 0.75/1.01 % set(auto) -> set(auto_process).
% 0.75/1.01 % set(auto2) -> assign(new_constants, 1).
% 0.75/1.01 % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.01 % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.01 % set(auto2) -> assign(max_hours, 1).
% 0.75/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.01 % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.01 % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.01 % set(auto2) -> set(sort_initial_sos).
% 0.75/1.01 % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.01 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.01 % set(auto2) -> assign(max_megs, 400).
% 0.75/1.01 % set(auto2) -> assign(stats, some).
% 0.75/1.01 % set(auto2) -> clear(echo_input).
% 0.75/1.01 % set(auto2) -> set(quiet).
% 0.75/1.01 % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.01 % set(auto2) -> clear(print_given).
% 0.75/1.01 assign(lrs_ticks,-1).
% 0.75/1.01 assign(sos_limit,10000).
% 0.75/1.01 assign(order,kbo).
% 0.75/1.01 set(lex_order_vars).
% 0.75/1.01 clear(print_given).
% 0.75/1.01
% 0.75/1.01 % formulas(sos). % not echoed (6 formulas)
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% 0.75/1.01 ============================== end of input ==========================
% 0.75/1.01
% 0.75/1.01 % From the command line: assign(max_seconds, 300).
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% 0.75/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.01
% 0.75/1.01 % Formulas that are not ordinary clauses:
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% 0.75/1.01 ============================== end of process non-clausal formulas ===
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% 0.75/1.01 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.75/1.01 ============================== PREDICATE ELIMINATION =================
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% 0.75/1.01 ============================== end predicate elimination =============
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% 0.75/1.01 Auto_denials: (non-Horn, no changes).
% 0.75/1.01
% 0.75/1.01 Term ordering decisions:
% 0.75/1.01 Function symbol KB weights: tc_nat=1. tc_Message_Omsg=1. c_emptyset=1. v_list=1. v_xc=1. v_x=1. v_xd=1. c_Message_Omsg_ONonce=1. c_Event_Oused=1. c_Message_Oparts=1. v_sko__upX=1. c_insert=1. c_plus=1.
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% 0.75/1.01 ============================== end of process initial clauses ========
% 0.75/1.01
% 0.75/1.01 ============================== CLAUSES FOR SEARCH ====================
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% 0.75/1.01 ============================== end of clauses for search =============
% 0.75/1.01
% 0.75/1.01 ============================== SEARCH ================================
% 0.75/1.01
% 0.75/1.01 % Starting search at 0.01 seconds.
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% 0.75/1.01 ============================== PROOF =================================
% 0.75/1.01 % SZS status Unsatisfiable
% 0.75/1.01 % SZS output start Refutation
% 0.75/1.01
% 0.75/1.01 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.75/1.01 % Length of proof is 14.
% 0.75/1.01 % Level of proof is 5.
% 0.75/1.01 % Maximum clause weight is 34.000.
% 0.75/1.01 % Given clauses 12.
% 0.75/1.01
% 0.75/1.01 1 c_lessequals(A,v_xd(A),tc_nat) | c_lessequals(B,v_xd(B),tc_nat) # label(cls_conjecture_4) # label(negated_conjecture). [assumption].
% 0.75/1.01 2 c_in(c_Message_Omsg_ONonce(v_xd(A)),c_Event_Oused(v_list),tc_Message_Omsg) | c_in(c_Message_Omsg_ONonce(v_xd(A)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) | c_in(c_Message_Omsg_ONonce(v_xd(B)),c_Event_Oused(v_list),tc_Message_Omsg) | c_in(c_Message_Omsg_ONonce(v_xd(B)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) # label(cls_conjecture_9) # label(negated_conjecture). [assumption].
% 0.75/1.01 3 -c_in(c_Message_Omsg_ONonce(A),c_Event_Oused(v_list),tc_Message_Omsg) | -c_lessequals(v_x,A,tc_nat) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.75/1.01 4 -c_in(c_Message_Omsg_ONonce(A),c_Message_Oparts(c_insert(B,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) | -c_lessequals(v_sko__upX(B),A,tc_nat) # label(cls_Message_Omsg__Nonce__supply_0) # label(axiom). [assumption].
% 0.75/1.01 5 -c_lessequals(c_plus(A,B,tc_nat),C,tc_nat) | c_lessequals(B,C,tc_nat) # label(cls_Nat_Oadd__leE_0) # label(axiom). [assumption].
% 0.75/1.01 6 -c_lessequals(c_plus(A,B,tc_nat),C,tc_nat) | c_lessequals(A,C,tc_nat) # label(cls_Nat_Oadd__leE_1) # label(axiom). [assumption].
% 0.75/1.01 7 c_lessequals(A,v_xd(A),tc_nat). [factor(1,a,b)].
% 0.75/1.01 8 c_in(c_Message_Omsg_ONonce(v_xd(A)),c_Event_Oused(v_list),tc_Message_Omsg) | c_in(c_Message_Omsg_ONonce(v_xd(A)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg). [factor(2,a,c),merge(c)].
% 0.75/1.01 9 c_lessequals(A,v_xd(c_plus(A,B,tc_nat)),tc_nat). [resolve(7,a,6,a)].
% 0.75/1.01 10 c_lessequals(A,v_xd(c_plus(B,A,tc_nat)),tc_nat). [resolve(7,a,5,a)].
% 0.75/1.01 16 -c_in(c_Message_Omsg_ONonce(v_xd(c_plus(v_sko__upX(A),B,tc_nat))),c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg). [ur(4,b,9,a)].
% 0.75/1.01 19 c_in(c_Message_Omsg_ONonce(v_xd(c_plus(v_sko__upX(v_xc),A,tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg). [resolve(16,a,8,b)].
% 0.75/1.01 23 -c_in(c_Message_Omsg_ONonce(v_xd(c_plus(A,v_x,tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg). [ur(3,b,10,a)].
% 0.75/1.01 24 $F. [resolve(23,a,19,a)].
% 0.75/1.01
% 0.75/1.01 % SZS output end Refutation
% 0.75/1.01 ============================== end of proof ==========================
% 0.75/1.01
% 0.75/1.01 ============================== STATISTICS ============================
% 0.75/1.01
% 0.75/1.01 Given=12. Generated=24. Kept=23. proofs=1.
% 0.75/1.01 Usable=12. Sos=5. Demods=0. Limbo=3, Disabled=8. Hints=0.
% 0.75/1.01 Megabytes=0.05.
% 0.75/1.01 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.75/1.01
% 0.75/1.01 ============================== end of statistics =====================
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% 0.75/1.01 ============================== end of search =========================
% 0.75/1.01
% 0.75/1.01 THEOREM PROVED
% 0.75/1.01 % SZS status Unsatisfiable
% 0.75/1.01
% 0.75/1.01 Exiting with 1 proof.
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% 0.75/1.01 Process 3874 exit (max_proofs) Wed Jun 15 06:31:57 2022
% 0.75/1.01 Prover9 interrupted
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