TSTP Solution File: SET834-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET834-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 04:32:33 EDT 2022
% Result : Unsatisfiable 114.43s 114.76s
% Output : Refutation 114.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET834-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 03:37:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 114.43/114.76 ============================== Prover9 ===============================
% 114.43/114.76 Prover9 (32) version 2009-11A, November 2009.
% 114.43/114.76 Process 19749 was started by sandbox on n028.cluster.edu,
% 114.43/114.76 Sun Jul 10 03:37:27 2022
% 114.43/114.76 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19595_n028.cluster.edu".
% 114.43/114.76 ============================== end of head ===========================
% 114.43/114.76
% 114.43/114.76 ============================== INPUT =================================
% 114.43/114.76
% 114.43/114.76 % Reading from file /tmp/Prover9_19595_n028.cluster.edu
% 114.43/114.76
% 114.43/114.76 set(prolog_style_variables).
% 114.43/114.76 set(auto2).
% 114.43/114.76 % set(auto2) -> set(auto).
% 114.43/114.76 % set(auto) -> set(auto_inference).
% 114.43/114.76 % set(auto) -> set(auto_setup).
% 114.43/114.76 % set(auto_setup) -> set(predicate_elim).
% 114.43/114.76 % set(auto_setup) -> assign(eq_defs, unfold).
% 114.43/114.76 % set(auto) -> set(auto_limits).
% 114.43/114.76 % set(auto_limits) -> assign(max_weight, "100.000").
% 114.43/114.76 % set(auto_limits) -> assign(sos_limit, 20000).
% 114.43/114.76 % set(auto) -> set(auto_denials).
% 114.43/114.76 % set(auto) -> set(auto_process).
% 114.43/114.76 % set(auto2) -> assign(new_constants, 1).
% 114.43/114.76 % set(auto2) -> assign(fold_denial_max, 3).
% 114.43/114.76 % set(auto2) -> assign(max_weight, "200.000").
% 114.43/114.76 % set(auto2) -> assign(max_hours, 1).
% 114.43/114.76 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 114.43/114.76 % set(auto2) -> assign(max_seconds, 0).
% 114.43/114.76 % set(auto2) -> assign(max_minutes, 5).
% 114.43/114.76 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 114.43/114.76 % set(auto2) -> set(sort_initial_sos).
% 114.43/114.76 % set(auto2) -> assign(sos_limit, -1).
% 114.43/114.76 % set(auto2) -> assign(lrs_ticks, 3000).
% 114.43/114.76 % set(auto2) -> assign(max_megs, 400).
% 114.43/114.76 % set(auto2) -> assign(stats, some).
% 114.43/114.76 % set(auto2) -> clear(echo_input).
% 114.43/114.76 % set(auto2) -> set(quiet).
% 114.43/114.76 % set(auto2) -> clear(print_initial_clauses).
% 114.43/114.76 % set(auto2) -> clear(print_given).
% 114.43/114.76 assign(lrs_ticks,-1).
% 114.43/114.76 assign(sos_limit,10000).
% 114.43/114.76 assign(order,kbo).
% 114.43/114.76 set(lex_order_vars).
% 114.43/114.76 clear(print_given).
% 114.43/114.76
% 114.43/114.76 % formulas(sos). % not echoed (10 formulas)
% 114.43/114.76
% 114.43/114.76 ============================== end of input ==========================
% 114.43/114.76
% 114.43/114.76 % From the command line: assign(max_seconds, 300).
% 114.43/114.76
% 114.43/114.76 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 114.43/114.76
% 114.43/114.76 % Formulas that are not ordinary clauses:
% 114.43/114.76
% 114.43/114.76 ============================== end of process non-clausal formulas ===
% 114.43/114.76
% 114.43/114.76 ============================== PROCESS INITIAL CLAUSES ===============
% 114.43/114.76
% 114.43/114.76 ============================== PREDICATE ELIMINATION =================
% 114.43/114.76
% 114.43/114.76 ============================== end predicate elimination =============
% 114.43/114.76
% 114.43/114.76 Auto_denials: (non-Horn, no changes).
% 114.43/114.76
% 114.43/114.76 Term ordering decisions:
% 114.43/114.76
% 114.43/114.76 % Assigning unary symbol tc_set kb_weight 0 and highest precedence (10).
% 114.43/114.76 Function symbol KB weights: t_a=1. v_X=1. v_Y=1. v_Z=1. v_x=1. c_union=1. c_Main_OsubsetI__1=1. tc_set=0.
% 114.43/114.76
% 114.43/114.76 ============================== end of process initial clauses ========
% 114.43/114.76
% 114.43/114.76 ============================== CLAUSES FOR SEARCH ====================
% 114.43/114.76
% 114.43/114.76 ============================== end of clauses for search =============
% 114.43/114.76
% 114.43/114.76 ============================== SEARCH ================================
% 114.43/114.76
% 114.43/114.76 % Starting search at 0.01 seconds.
% 114.43/114.76
% 114.43/114.76 Low Water (keep): wt=26.000, iters=3558
% 114.43/114.76
% 114.43/114.76 Low Water (keep): wt=25.000, iters=3409
% 114.43/114.76
% 114.43/114.76 Low Water (keep): wt=23.000, iters=3336
% 114.43/114.76
% 114.43/114.76 Low Water (keep): wt=22.000, iters=3388
% 114.43/114.76
% 114.43/114.76 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 627 (0.00 of 0.39 sec).
% 114.43/114.76
% 114.43/114.76 Low Water (keep): wt=20.000, iters=3339
% 114.43/114.76
% 114.43/114.76 Low Water (keep): wt=19.000, iters=3333
% 114.43/114.76
% 114.43/114.76 Low Water (displace): id=3624, wt=26.000
% 114.43/114.76
% 114.43/114.76 ============================== PROOF =================================
% 114.43/114.76 % SZS status Unsatisfiable
% 114.43/114.76 % SZS output start Refutation
% 114.43/114.76
% 114.43/114.76 % Proof 1 at 103.96 (+ 9.80) seconds.
% 114.43/114.76 % Length of proof is 25.
% 114.43/114.76 % Level of proof is 12.
% 114.43/114.76 % Maximum clause weight is 23.000.
% 114.43/114.76 % Given clauses 16510.
% 114.43/114.76
% 114.43/114.76 1 c_in(v_x,v_X,t_a) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 114.43/114.76 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].
% 114.43/114.76 3 -c_in(v_x,v_Z,t_a) # label(cls_conjecture_3) # label(negated_conjecture). [assumption].
% 114.43/114.76 4 -c_in(v_x,v_Y,t_a) # label(cls_conjecture_4) # label(negated_conjecture). [assumption].
% 114.43/114.76 5 -c_in(A,B,C) | c_in(A,c_union(D,B,C),C) # label(cls_Set_OUnCI_0) # label(axiom). [assumption].
% 114.43/114.76 6 -c_in(A,B,C) | c_in(A,c_union(B,D,C),C) # label(cls_Set_OUnCI_1) # label(axiom). [assumption].
% 114.43/114.76 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].
% 114.43/114.76 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].
% 114.43/114.76 9 -c_in(A,c_union(B,C,D),D) | c_in(A,C,D) | c_in(A,B,D) # label(cls_Set_OUnE_0) # label(axiom). [assumption].
% 114.43/114.76 10 c_lessequals(v_X,A,tc_set(t_a)) | -c_lessequals(v_Z,A,tc_set(t_a)) | -c_lessequals(v_Y,A,tc_set(t_a)) # label(cls_conjecture_5) # label(negated_conjecture). [assumption].
% 114.43/114.76 19 -c_in(v_x,c_union(v_Y,v_Z,t_a),t_a). [ur(9,b,3,a,c,4,a)].
% 114.43/114.76 21 c_lessequals(v_X,A,tc_set(t_a)) | -c_lessequals(v_Y,A,tc_set(t_a)) | c_in(c_Main_OsubsetI__1(v_Z,A,t_a),v_Z,t_a). [resolve(10,b,2,b)].
% 114.43/114.76 80 -c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a)). [ur(8,a,1,a,c,19,a)].
% 114.43/114.76 128 c_lessequals(v_X,A,tc_set(t_a)) | c_in(c_Main_OsubsetI__1(v_Z,A,t_a),v_Z,t_a) | c_in(c_Main_OsubsetI__1(v_Y,A,t_a),v_Y,t_a). [resolve(21,b,2,b)].
% 114.43/114.76 5806 c_in(c_Main_OsubsetI__1(v_Z,c_union(v_Y,v_Z,t_a),t_a),v_Z,t_a) | c_in(c_Main_OsubsetI__1(v_Y,c_union(v_Y,v_Z,t_a),t_a),v_Y,t_a). [resolve(128,a,80,a)].
% 114.43/114.76 11452 c_in(c_Main_OsubsetI__1(v_Y,c_union(v_Y,v_Z,t_a),t_a),v_Y,t_a) | c_in(c_Main_OsubsetI__1(v_Z,c_union(v_Y,v_Z,t_a),t_a),c_union(A,v_Z,t_a),t_a). [resolve(5806,a,5,a)].
% 114.43/114.76 34794 c_in(c_Main_OsubsetI__1(v_Y,c_union(v_Y,v_Z,t_a),t_a),v_Y,t_a) | c_lessequals(v_Z,c_union(v_Y,v_Z,t_a),tc_set(t_a)). [resolve(11452,b,7,a)].
% 114.43/114.76 34803 c_in(c_Main_OsubsetI__1(v_Y,c_union(v_Y,v_Z,t_a),t_a),v_Y,t_a) | -c_lessequals(v_Y,c_union(v_Y,v_Z,t_a),tc_set(t_a)). [resolve(34794,b,10,b),unit_del(b,80)].
% 114.43/114.76 34804 c_in(c_Main_OsubsetI__1(v_Y,c_union(v_Y,v_Z,t_a),t_a),v_Y,t_a). [resolve(34803,b,2,b),merge(b)].
% 114.43/114.76 34807 c_in(c_Main_OsubsetI__1(v_Y,c_union(v_Y,v_Z,t_a),t_a),c_union(v_Y,A,t_a),t_a). [resolve(34804,a,6,a)].
% 114.43/114.76 34810 c_lessequals(v_Y,c_union(v_Y,v_Z,t_a),tc_set(t_a)). [resolve(34807,a,7,a)].
% 114.43/114.76 34817 c_in(c_Main_OsubsetI__1(v_Z,c_union(v_Y,v_Z,t_a),t_a),v_Z,t_a). [resolve(34810,a,21,b),unit_del(a,80)].
% 114.43/114.76 34818 -c_lessequals(v_Z,c_union(v_Y,v_Z,t_a),tc_set(t_a)). [ur(10,a,80,a,c,34810,a)].
% 114.43/114.76 34822 c_in(c_Main_OsubsetI__1(v_Z,c_union(v_Y,v_Z,t_a),t_a),c_union(A,v_Z,t_a),t_a). [resolve(34817,a,5,a)].
% 114.43/114.76 34829 $F. [ur(7,b,34818,a),unit_del(a,34822)].
% 114.43/114.76
% 114.43/114.76 % SZS output end Refutation
% 114.43/114.76 ============================== end of proof ==========================
% 114.43/114.76
% 114.43/114.76 ============================== STATISTICS ============================
% 114.43/114.76
% 114.43/114.76 Given=16510. Generated=18906014. Kept=34828. proofs=1.
% 114.43/114.76 Usable=16505. Sos=9855. Demods=0. Limbo=0, Disabled=8478. Hints=0.
% 114.43/114.76 Megabytes=38.83.
% 114.43/114.76 User_CPU=103.96, System_CPU=9.80, Wall_clock=114.
% 114.43/114.76
% 114.43/114.76 ============================== end of statistics =====================
% 114.43/114.76
% 114.43/114.76 ============================== end of search =========================
% 114.43/114.76
% 114.43/114.76 THEOREM PROVED
% 114.43/114.76 % SZS status Unsatisfiable
% 114.43/114.76
% 114.43/114.76 Exiting with 1 proof.
% 114.43/114.76
% 114.43/114.76 Process 19749 exit (max_proofs) Sun Jul 10 03:39:21 2022
% 114.43/114.76 Prover9 interrupted
%------------------------------------------------------------------------------