TSTP Solution File: SWV275-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV275-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.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 21:11:24 EDT 2022
% Result : Unsatisfiable 79.99s 80.30s
% Output : Refutation 79.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV275-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 00:57:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 79.99/80.30 ============================== Prover9 ===============================
% 79.99/80.30 Prover9 (32) version 2009-11A, November 2009.
% 79.99/80.30 Process 18795 was started by sandbox on n023.cluster.edu,
% 79.99/80.30 Wed Jun 15 00:57:21 2022
% 79.99/80.30 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18640_n023.cluster.edu".
% 79.99/80.30 ============================== end of head ===========================
% 79.99/80.30
% 79.99/80.30 ============================== INPUT =================================
% 79.99/80.30
% 79.99/80.30 % Reading from file /tmp/Prover9_18640_n023.cluster.edu
% 79.99/80.30
% 79.99/80.30 set(prolog_style_variables).
% 79.99/80.30 set(auto2).
% 79.99/80.30 % set(auto2) -> set(auto).
% 79.99/80.30 % set(auto) -> set(auto_inference).
% 79.99/80.30 % set(auto) -> set(auto_setup).
% 79.99/80.30 % set(auto_setup) -> set(predicate_elim).
% 79.99/80.30 % set(auto_setup) -> assign(eq_defs, unfold).
% 79.99/80.30 % set(auto) -> set(auto_limits).
% 79.99/80.30 % set(auto_limits) -> assign(max_weight, "100.000").
% 79.99/80.30 % set(auto_limits) -> assign(sos_limit, 20000).
% 79.99/80.30 % set(auto) -> set(auto_denials).
% 79.99/80.30 % set(auto) -> set(auto_process).
% 79.99/80.30 % set(auto2) -> assign(new_constants, 1).
% 79.99/80.30 % set(auto2) -> assign(fold_denial_max, 3).
% 79.99/80.30 % set(auto2) -> assign(max_weight, "200.000").
% 79.99/80.30 % set(auto2) -> assign(max_hours, 1).
% 79.99/80.30 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 79.99/80.30 % set(auto2) -> assign(max_seconds, 0).
% 79.99/80.30 % set(auto2) -> assign(max_minutes, 5).
% 79.99/80.30 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 79.99/80.30 % set(auto2) -> set(sort_initial_sos).
% 79.99/80.30 % set(auto2) -> assign(sos_limit, -1).
% 79.99/80.30 % set(auto2) -> assign(lrs_ticks, 3000).
% 79.99/80.30 % set(auto2) -> assign(max_megs, 400).
% 79.99/80.30 % set(auto2) -> assign(stats, some).
% 79.99/80.30 % set(auto2) -> clear(echo_input).
% 79.99/80.30 % set(auto2) -> set(quiet).
% 79.99/80.30 % set(auto2) -> clear(print_initial_clauses).
% 79.99/80.30 % set(auto2) -> clear(print_given).
% 79.99/80.30 assign(lrs_ticks,-1).
% 79.99/80.30 assign(sos_limit,10000).
% 79.99/80.30 assign(order,kbo).
% 79.99/80.30 set(lex_order_vars).
% 79.99/80.30 clear(print_given).
% 79.99/80.30
% 79.99/80.30 % formulas(sos). % not echoed (9 formulas)
% 79.99/80.30
% 79.99/80.30 ============================== end of input ==========================
% 79.99/80.30
% 79.99/80.30 % From the command line: assign(max_seconds, 300).
% 79.99/80.30
% 79.99/80.30 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 79.99/80.30
% 79.99/80.30 % Formulas that are not ordinary clauses:
% 79.99/80.30
% 79.99/80.30 ============================== end of process non-clausal formulas ===
% 79.99/80.30
% 79.99/80.30 ============================== PROCESS INITIAL CLAUSES ===============
% 79.99/80.30
% 79.99/80.30 ============================== PREDICATE ELIMINATION =================
% 79.99/80.30
% 79.99/80.30 ============================== end predicate elimination =============
% 79.99/80.30
% 79.99/80.30 Auto_denials: (non-Horn, no changes).
% 79.99/80.30
% 79.99/80.30 Term ordering decisions:
% 79.99/80.30 Function symbol KB weights: tc_Message_Omsg=1. v_H=1. v_X=1. tc_set=1. c_Message_Osynth=1. c_insert=1. c_Main_OsubsetI__1=1.
% 79.99/80.30
% 79.99/80.30 ============================== end of process initial clauses ========
% 79.99/80.30
% 79.99/80.30 ============================== CLAUSES FOR SEARCH ====================
% 79.99/80.30
% 79.99/80.30 ============================== end of clauses for search =============
% 79.99/80.30
% 79.99/80.30 ============================== SEARCH ================================
% 79.99/80.30
% 79.99/80.30 % Starting search at 0.01 seconds.
% 79.99/80.30
% 79.99/80.30 Low Water (keep): wt=35.000, iters=3367
% 79.99/80.30
% 79.99/80.30 Low Water (keep): wt=34.000, iters=3361
% 79.99/80.30
% 79.99/80.30 Low Water (keep): wt=33.000, iters=3358
% 79.99/80.30
% 79.99/80.30 Low Water (keep): wt=32.000, iters=3336
% 79.99/80.30
% 79.99/80.30 Low Water (keep): wt=31.000, iters=3345
% 79.99/80.30
% 79.99/80.30 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.44 sec).
% 79.99/80.30
% 79.99/80.30 Low Water (keep): wt=30.000, iters=3334
% 79.99/80.30
% 79.99/80.30 Low Water (keep): wt=29.000, iters=3333
% 79.99/80.30
% 79.99/80.30 Low Water (displace): id=3521, wt=35.000
% 79.99/80.30
% 79.99/80.30 Low Water (displace): id=3734, wt=34.000
% 79.99/80.30
% 79.99/80.30 Low Water (displace): id=4198, wt=33.000
% 79.99/80.30
% 79.99/80.30 Low Water (displace): id=16732, wt=28.000
% 79.99/80.30
% 79.99/80.30 Low Water (displace): id=18712, wt=26.000
% 79.99/80.30
% 79.99/80.30 ============================== PROOF =================================
% 79.99/80.30 % SZS status Unsatisfiable
% 79.99/80.30 % SZS output start Refutation
% 79.99/80.30
% 79.99/80.30 % Proof 1 at 75.56 (+ 3.75) seconds.
% 79.99/80.30 % Length of proof is 28.
% 79.99/80.30 % Level of proof is 11.
% 79.99/80.30 % Maximum clause weight is 41.000.
% 79.99/80.30 % Given clauses 13633.
% 79.99/80.30
% 79.99/80.30 1 c_in(A,c_insert(A,B,C),C) # label(cls_Set_OinsertCI_1) # label(axiom). [assumption].
% 79.99/80.30 2 c_in(c_Main_OsubsetI__1(A,B,C),A,C) | c_lessequals(A,B,tc_set(C)) # label(cls_Set_OsubsetI_0) # label(axiom). [assumption].
% 79.99/80.30 3 -c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 79.99/80.30 4 -c_in(A,B,tc_Message_Omsg) | c_in(A,c_Message_Osynth(B),tc_Message_Omsg) # label(cls_Message_Osynth_OInj_0) # label(axiom). [assumption].
% 79.99/80.30 5 -c_in(A,B,C) | c_in(A,c_insert(D,B,C),C) # label(cls_Set_OinsertCI_0) # label(axiom). [assumption].
% 79.99/80.30 6 -c_lessequals(A,B,tc_set(tc_Message_Omsg)) | c_lessequals(c_Message_Osynth(A),c_Message_Osynth(B),tc_set(tc_Message_Omsg)) # label(cls_Message_Osynth__mono_0) # label(axiom). [assumption].
% 79.99/80.30 7 -c_in(c_Main_OsubsetI__1(A,B,C),B,C) | c_lessequals(A,B,tc_set(C)) # label(cls_Set_OsubsetI_1) # label(axiom). [assumption].
% 79.99/80.30 8 -c_in(A,B,C) | -c_lessequals(B,D,tc_set(C)) | c_in(A,D,C) # label(cls_Set_OsubsetD_0) # label(axiom). [assumption].
% 79.99/80.30 9 -c_in(A,c_insert(B,C,D),D) | c_in(A,C,D) | A = B # label(cls_Set_OinsertE_0) # label(axiom). [assumption].
% 79.99/80.30 10 c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg). [resolve(3,a,2,b)].
% 79.99/80.30 11 c_in(A,c_Message_Osynth(c_insert(A,B,tc_Message_Omsg)),tc_Message_Omsg). [resolve(4,a,1,a)].
% 79.99/80.30 13 c_lessequals(c_Message_Osynth(A),c_Message_Osynth(B),tc_set(tc_Message_Omsg)) | c_in(c_Main_OsubsetI__1(A,B,tc_Message_Omsg),A,tc_Message_Omsg). [resolve(6,a,2,b)].
% 79.99/80.30 14 -c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg). [ur(7,b,3,a)].
% 79.99/80.30 16 c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) | c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X. [resolve(10,a,9,a)].
% 79.99/80.30 32 -c_lessequals(c_Message_Osynth(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),A,tc_Message_Omsg)),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)). [ur(8,a,11,a,c,14,a)].
% 79.99/80.30 48 c_in(c_Main_OsubsetI__1(A,B,tc_Message_Omsg),A,tc_Message_Omsg) | -c_in(C,c_Message_Osynth(A),tc_Message_Omsg) | c_in(C,c_Message_Osynth(B),tc_Message_Omsg). [resolve(13,a,8,b)].
% 79.99/80.30 893 c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),A,tc_Message_Omsg)),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),A,tc_Message_Omsg)),tc_Message_Omsg). [resolve(32,a,2,b)].
% 79.99/80.30 894 -c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),A,tc_Message_Omsg)),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg). [ur(7,b,32,a)].
% 79.99/80.30 1848 c_in(c_Main_OsubsetI__1(v_H,A,tc_Message_Omsg),v_H,tc_Message_Omsg) | c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(A),tc_Message_Omsg) | c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X. [resolve(48,b,16,a)].
% 79.99/80.30 21893 c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg) | c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X. [resolve(1848,b,14,a)].
% 79.99/80.30 21894 c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X | c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),c_insert(A,v_H,tc_Message_Omsg),tc_Message_Omsg). [resolve(21893,a,5,a)].
% 79.99/80.30 24816 c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X | c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)). [resolve(21894,b,7,a)].
% 79.99/80.30 24818 c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X | c_lessequals(c_Message_Osynth(v_H),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)). [resolve(24816,b,6,a)].
% 79.99/80.30 24819 c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X | -c_in(A,c_Message_Osynth(v_H),tc_Message_Omsg) | c_in(A,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg). [resolve(24818,b,8,b)].
% 79.99/80.30 24830 c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X. [resolve(24819,b,16,a),merge(c),unit_del(b,14)].
% 79.99/80.30 25127 -c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_insert(v_X,A,tc_Message_Omsg)),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg). [back_rewrite(894),rewrite([24830(12)])].
% 79.99/80.30 25128 c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_insert(v_X,A,tc_Message_Omsg)),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,A,tc_Message_Omsg)),tc_Message_Omsg). [back_rewrite(893),rewrite([24830(12),24830(23)])].
% 79.99/80.30 25129 $F. [resolve(25128,a,25127,a)].
% 79.99/80.30
% 79.99/80.30 % SZS output end Refutation
% 79.99/80.30 ============================== end of proof ==========================
% 79.99/80.30
% 79.99/80.30 ============================== STATISTICS ============================
% 79.99/80.30
% 79.99/80.30 Given=13633. Generated=7374085. Kept=25128. proofs=1.
% 79.99/80.30 Usable=13394. Sos=8305. Demods=88. Limbo=298, Disabled=3139. Hints=0.
% 79.99/80.30 Megabytes=36.92.
% 79.99/80.30 User_CPU=75.56, System_CPU=3.75, Wall_clock=79.
% 79.99/80.30
% 79.99/80.30 ============================== end of statistics =====================
% 79.99/80.30
% 79.99/80.30 ============================== end of search =========================
% 79.99/80.30
% 79.99/80.30 THEOREM PROVED
% 79.99/80.30 % SZS status Unsatisfiable
% 79.99/80.30
% 79.99/80.30 Exiting with 1 proof.
% 79.99/80.30
% 79.99/80.30 Process 18795 exit (max_proofs) Wed Jun 15 00:58:40 2022
% 79.99/80.30 Prover9 interrupted
%------------------------------------------------------------------------------