TSTP Solution File: SET860-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET860-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.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 : Tue Jul 19 04:32:58 EDT 2022
% Result : Unsatisfiable 4.01s 4.36s
% Output : Refutation 4.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET860-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n022.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 16:29:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.01/4.36 ============================== Prover9 ===============================
% 4.01/4.36 Prover9 (32) version 2009-11A, November 2009.
% 4.01/4.36 Process 22435 was started by sandbox2 on n022.cluster.edu,
% 4.01/4.36 Sat Jul 9 16:29:56 2022
% 4.01/4.36 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_22281_n022.cluster.edu".
% 4.01/4.36 ============================== end of head ===========================
% 4.01/4.36
% 4.01/4.36 ============================== INPUT =================================
% 4.01/4.36
% 4.01/4.36 % Reading from file /tmp/Prover9_22281_n022.cluster.edu
% 4.01/4.36
% 4.01/4.36 set(prolog_style_variables).
% 4.01/4.36 set(auto2).
% 4.01/4.36 % set(auto2) -> set(auto).
% 4.01/4.36 % set(auto) -> set(auto_inference).
% 4.01/4.36 % set(auto) -> set(auto_setup).
% 4.01/4.36 % set(auto_setup) -> set(predicate_elim).
% 4.01/4.36 % set(auto_setup) -> assign(eq_defs, unfold).
% 4.01/4.36 % set(auto) -> set(auto_limits).
% 4.01/4.36 % set(auto_limits) -> assign(max_weight, "100.000").
% 4.01/4.36 % set(auto_limits) -> assign(sos_limit, 20000).
% 4.01/4.36 % set(auto) -> set(auto_denials).
% 4.01/4.36 % set(auto) -> set(auto_process).
% 4.01/4.36 % set(auto2) -> assign(new_constants, 1).
% 4.01/4.36 % set(auto2) -> assign(fold_denial_max, 3).
% 4.01/4.36 % set(auto2) -> assign(max_weight, "200.000").
% 4.01/4.36 % set(auto2) -> assign(max_hours, 1).
% 4.01/4.36 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 4.01/4.36 % set(auto2) -> assign(max_seconds, 0).
% 4.01/4.36 % set(auto2) -> assign(max_minutes, 5).
% 4.01/4.36 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 4.01/4.36 % set(auto2) -> set(sort_initial_sos).
% 4.01/4.36 % set(auto2) -> assign(sos_limit, -1).
% 4.01/4.36 % set(auto2) -> assign(lrs_ticks, 3000).
% 4.01/4.36 % set(auto2) -> assign(max_megs, 400).
% 4.01/4.36 % set(auto2) -> assign(stats, some).
% 4.01/4.36 % set(auto2) -> clear(echo_input).
% 4.01/4.36 % set(auto2) -> set(quiet).
% 4.01/4.36 % set(auto2) -> clear(print_initial_clauses).
% 4.01/4.36 % set(auto2) -> clear(print_given).
% 4.01/4.36 assign(lrs_ticks,-1).
% 4.01/4.36 assign(sos_limit,10000).
% 4.01/4.36 assign(order,kbo).
% 4.01/4.36 set(lex_order_vars).
% 4.01/4.36 clear(print_given).
% 4.01/4.36
% 4.01/4.36 % formulas(sos). % not echoed (24 formulas)
% 4.01/4.36
% 4.01/4.36 ============================== end of input ==========================
% 4.01/4.36
% 4.01/4.36 % From the command line: assign(max_seconds, 300).
% 4.01/4.36
% 4.01/4.36 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 4.01/4.36
% 4.01/4.36 % Formulas that are not ordinary clauses:
% 4.01/4.36
% 4.01/4.36 ============================== end of process non-clausal formulas ===
% 4.01/4.36
% 4.01/4.36 ============================== PROCESS INITIAL CLAUSES ===============
% 4.01/4.36
% 4.01/4.36 ============================== PREDICATE ELIMINATION =================
% 4.01/4.36
% 4.01/4.36 ============================== end predicate elimination =============
% 4.01/4.36
% 4.01/4.36 Auto_denials: (non-Horn, no changes).
% 4.01/4.36
% 4.01/4.36 Term ordering decisions:
% 4.01/4.36
% 4.01/4.36 % Assigning unary symbol tc_set kb_weight 0 and highest precedence (17).
% 4.01/4.36 Function symbol KB weights: t_a=1. c_UNIV=1. v_A=1. v_B=1. v_C=1. c_emptyset=1. c_uminus=1. c_Union=1. c_insert=1. c_inter=1. c_Main_OUnionE__1=1. c_Main_OsubsetI__1=1. c_union=1. tc_set=0.
% 4.01/4.36
% 4.01/4.36 ============================== end of process initial clauses ========
% 4.01/4.36
% 4.01/4.36 ============================== CLAUSES FOR SEARCH ====================
% 4.01/4.36
% 4.01/4.36 ============================== end of clauses for search =============
% 4.01/4.36
% 4.01/4.36 ============================== SEARCH ================================
% 4.01/4.36
% 4.01/4.36 % Starting search at 0.01 seconds.
% 4.01/4.36
% 4.01/4.36 Low Water (keep): wt=21.000, iters=3418
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% 4.01/4.36 Low Water (keep): wt=20.000, iters=3385
% 4.01/4.36
% 4.01/4.36 Low Water (keep): wt=19.000, iters=3380
% 4.01/4.36
% 4.01/4.36 Low Water (keep): wt=18.000, iters=3333
% 4.01/4.36
% 4.01/4.36 Low Water (keep): wt=17.000, iters=3340
% 4.01/4.36
% 4.01/4.36 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 59 (0.00 of 0.66 sec).
% 4.01/4.36
% 4.01/4.36 Low Water (displace): id=3505, wt=26.000
% 4.01/4.36
% 4.01/4.36 Low Water (displace): id=1066, wt=25.000
% 4.01/4.36
% 4.01/4.36 Low Water (displace): id=11113, wt=19.000
% 4.01/4.36
% 4.01/4.36 Low Water (displace): id=11291, wt=16.000
% 4.01/4.36
% 4.01/4.36 Low Water (displace): id=11294, wt=15.000
% 4.01/4.36
% 4.01/4.36 Low Water (keep): wt=16.000, iters=3333
% 4.01/4.36
% 4.01/4.36 Low Water (displace): id=12319, wt=14.000
% 4.01/4.36
% 4.01/4.36 ============================== PROOF =================================
% 4.01/4.36 % SZS status Unsatisfiable
% 4.01/4.36 % SZS output start Refutation
% 4.01/4.36
% 4.01/4.36 % Proof 1 at 3.19 (+ 0.21) seconds.
% 4.01/4.36 % Length of proof is 21.
% 4.01/4.36 % Level of proof is 6.
% 4.01/4.36 % Maximum clause weight is 26.000.
% 4.01/4.36 % Given clauses 2186.
% 4.01/4.36
% 4.01/4.36 4 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].
% 4.01/4.36 6 -c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 4.01/4.36 7 -c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 4.01/4.36 13 -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].
% 4.01/4.36 14 -c_in(A,c_Union(B,C),C) | c_in(A,c_Main_OUnionE__1(A,B,C),C) # label(cls_Set_OUnionE_1) # label(axiom). [assumption].
% 4.01/4.36 15 -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].
% 4.01/4.36 17 -c_in(A,c_Union(B,C),C) | c_in(c_Main_OUnionE__1(A,B,C),B,tc_set(C)) # label(cls_Set_OUnionE_0) # label(axiom). [assumption].
% 4.01/4.36 19 c_lessequals(v_B,A,tc_set(t_a)) | c_lessequals(A,v_A,tc_set(t_a)) | -c_in(A,v_C,tc_set(t_a)) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 4.01/4.36 22 -c_in(A,B,C) | -c_in(B,D,tc_set(C)) | c_in(A,c_Union(D,C),C) # label(cls_Set_OUnionI_0) # label(axiom). [assumption].
% 4.01/4.36 27 c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Union(v_C,t_a),t_a). [resolve(6,a,4,b)].
% 4.01/4.36 28 c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),v_B,t_a). [resolve(7,a,4,b)].
% 4.01/4.36 41 -c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),c_Union(v_C,t_a),t_a). [ur(13,b,7,a)].
% 4.01/4.36 42 -c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_A,t_a). [ur(13,b,6,a)].
% 4.01/4.36 75 c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_C,tc_set(t_a)). [resolve(27,a,17,a)].
% 4.01/4.36 76 c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a). [resolve(27,a,14,a)].
% 4.01/4.36 2638 c_lessequals(v_B,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),tc_set(t_a)) | c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_A,tc_set(t_a)). [resolve(75,a,19,c)].
% 4.01/4.36 2641 -c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a). [ur(22,b,75,a,c,41,a)].
% 4.01/4.36 6546 -c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_A,tc_set(t_a)). [ur(15,a,76,a,c,42,a)].
% 4.01/4.36 6551 c_lessequals(v_B,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),tc_set(t_a)). [back_unit_del(2638),unit_del(b,6546)].
% 4.01/4.36 9016 -c_in(A,v_B,t_a) | c_in(A,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a). [resolve(6551,a,15,b)].
% 4.01/4.36 21213 $F. [resolve(9016,a,28,a),unit_del(a,2641)].
% 4.01/4.36
% 4.01/4.36 % SZS output end Refutation
% 4.01/4.36 ============================== end of proof ==========================
% 4.01/4.36
% 4.01/4.36 ============================== STATISTICS ============================
% 4.01/4.36
% 4.01/4.36 Given=2186. Generated=385362. Kept=21212. proofs=1.
% 4.01/4.36 Usable=1643. Sos=9891. Demods=20. Limbo=9, Disabled=9693. Hints=0.
% 4.01/4.36 Megabytes=18.28.
% 4.01/4.36 User_CPU=3.19, System_CPU=0.21, Wall_clock=4.
% 4.01/4.36
% 4.01/4.36 ============================== end of statistics =====================
% 4.01/4.36
% 4.01/4.36 ============================== end of search =========================
% 4.01/4.36
% 4.01/4.36 THEOREM PROVED
% 4.01/4.36 % SZS status Unsatisfiable
% 4.01/4.36
% 4.01/4.36 Exiting with 1 proof.
% 4.01/4.36
% 4.01/4.36 Process 22435 exit (max_proofs) Sat Jul 9 16:30:00 2022
% 4.01/4.36 Prover9 interrupted
%------------------------------------------------------------------------------