TSTP Solution File: SWV250-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV250-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n012.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 21:11:06 EDT 2022
% Result : Unsatisfiable 0.46s 1.00s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV250-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n012.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 : Tue Jun 14 16:28:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.00 ============================== Prover9 ===============================
% 0.46/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.46/1.00 Process 3612 was started by sandbox on n012.cluster.edu,
% 0.46/1.00 Tue Jun 14 16:28:55 2022
% 0.46/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3458_n012.cluster.edu".
% 0.46/1.00 ============================== end of head ===========================
% 0.46/1.00
% 0.46/1.00 ============================== INPUT =================================
% 0.46/1.00
% 0.46/1.00 % Reading from file /tmp/Prover9_3458_n012.cluster.edu
% 0.46/1.00
% 0.46/1.00 set(prolog_style_variables).
% 0.46/1.00 set(auto2).
% 0.46/1.00 % set(auto2) -> set(auto).
% 0.46/1.00 % set(auto) -> set(auto_inference).
% 0.46/1.00 % set(auto) -> set(auto_setup).
% 0.46/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.46/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/1.00 % set(auto) -> set(auto_limits).
% 0.46/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/1.00 % set(auto) -> set(auto_denials).
% 0.46/1.00 % set(auto) -> set(auto_process).
% 0.46/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.46/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.46/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.46/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.46/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.46/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.46/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.46/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.46/1.00 % set(auto2) -> assign(stats, some).
% 0.46/1.00 % set(auto2) -> clear(echo_input).
% 0.46/1.00 % set(auto2) -> set(quiet).
% 0.46/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.46/1.00 % set(auto2) -> clear(print_given).
% 0.46/1.00 assign(lrs_ticks,-1).
% 0.46/1.00 assign(sos_limit,10000).
% 0.46/1.00 assign(order,kbo).
% 0.46/1.00 set(lex_order_vars).
% 0.46/1.00 clear(print_given).
% 0.46/1.00
% 0.46/1.00 % formulas(sos). % not echoed (7 formulas)
% 0.46/1.00
% 0.46/1.00 ============================== end of input ==========================
% 0.46/1.00
% 0.46/1.00 % From the command line: assign(max_seconds, 300).
% 0.46/1.00
% 0.46/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/1.00
% 0.46/1.00 % Formulas that are not ordinary clauses:
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% 0.46/1.00 ============================== end of process non-clausal formulas ===
% 0.46/1.00
% 0.46/1.00 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.46/1.00 ============================== PREDICATE ELIMINATION =================
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% 0.46/1.00 ============================== end predicate elimination =============
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% 0.46/1.00 Auto_denials: (non-Horn, no changes).
% 0.46/1.00
% 0.46/1.00 Term ordering decisions:
% 0.46/1.00 Function symbol KB weights: tc_Message_Omsg=1. v_G=1. v_H=1. v_x=1. c_Message_Oanalz=1. c_Message_Osynth=1. c_union=1.
% 0.46/1.00
% 0.46/1.00 ============================== end of process initial clauses ========
% 0.46/1.00
% 0.46/1.00 ============================== CLAUSES FOR SEARCH ====================
% 0.46/1.00
% 0.46/1.00 ============================== end of clauses for search =============
% 0.46/1.00
% 0.46/1.00 ============================== SEARCH ================================
% 0.46/1.00
% 0.46/1.00 % Starting search at 0.01 seconds.
% 0.46/1.00
% 0.46/1.00 ============================== PROOF =================================
% 0.46/1.00 % SZS status Unsatisfiable
% 0.46/1.00 % SZS output start Refutation
% 0.46/1.00
% 0.46/1.00 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.46/1.00 % Length of proof is 12.
% 0.46/1.00 % Level of proof is 3.
% 0.46/1.00 % Maximum clause weight is 18.000.
% 0.46/1.00 % Given clauses 11.
% 0.46/1.00
% 0.46/1.00 1 c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 0.46/1.00 2 c_Message_Oanalz(c_union(c_Message_Oanalz(A),B,tc_Message_Omsg)) = c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)) # label(cls_Message_Oanalz__analz__Un_0) # label(axiom). [assumption].
% 0.46/1.00 3 c_Message_Oanalz(c_union(c_Message_Osynth(A),B,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)),c_Message_Osynth(A),tc_Message_Omsg) # label(cls_Message_Oanalz__synth__Un_0) # label(axiom). [assumption].
% 0.46/1.00 4 c_union(c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)),c_Message_Osynth(A),tc_Message_Omsg) = c_Message_Oanalz(c_union(c_Message_Osynth(A),B,tc_Message_Omsg)). [copy(3),flip(a)].
% 0.46/1.00 5 -c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) # label(cls_conjecture_3) # label(negated_conjecture). [assumption].
% 0.46/1.00 6 -c_in(A,B,C) | c_in(A,c_union(B,D,C),C) # label(cls_Set_OUn__iff_1) # label(axiom). [assumption].
% 0.46/1.00 7 -c_in(A,B,C) | c_in(A,c_union(D,B,C),C) # label(cls_Set_OUn__iff_2) # label(axiom). [assumption].
% 0.46/1.00 8 -c_in(A,c_union(B,C,D),D) | c_in(A,C,D) | c_in(A,B,D) # label(cls_Set_OUn__iff_0) # label(axiom). [assumption].
% 0.46/1.00 12 c_union(c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(A)),tc_Message_Omsg) = c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(A)),B,tc_Message_Omsg)). [para(2(a,1),4(a,1,1))].
% 0.46/1.00 15 -c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg). [ur(6,b,5,a)].
% 0.46/1.00 17 -c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg). [ur(7,b,5,a)].
% 0.46/1.00 28 $F. [ur(8,b,15,a,c,17,a),rewrite([12(11)]),unit_del(a,1)].
% 0.46/1.00
% 0.46/1.00 % SZS output end Refutation
% 0.46/1.00 ============================== end of proof ==========================
% 0.46/1.00
% 0.46/1.00 ============================== STATISTICS ============================
% 0.46/1.00
% 0.46/1.00 Given=11. Generated=45. Kept=26. proofs=1.
% 0.46/1.00 Usable=11. Sos=14. Demods=10. Limbo=1, Disabled=7. Hints=0.
% 0.46/1.00 Megabytes=0.07.
% 0.46/1.00 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.46/1.00
% 0.46/1.00 ============================== end of statistics =====================
% 0.46/1.00
% 0.46/1.00 ============================== end of search =========================
% 0.46/1.00
% 0.46/1.00 THEOREM PROVED
% 0.46/1.00 % SZS status Unsatisfiable
% 0.46/1.00
% 0.46/1.00 Exiting with 1 proof.
% 0.46/1.00
% 0.46/1.00 Process 3612 exit (max_proofs) Tue Jun 14 16:28:55 2022
% 0.46/1.00 Prover9 interrupted
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