TSTP Solution File: SET840-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET840-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 04:32:39 EDT 2022
% Result : Unsatisfiable 2.08s 2.35s
% Output : Refutation 2.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET840-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n025.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 : Sun Jul 10 04:53:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.08/2.35 ============================== Prover9 ===============================
% 2.08/2.35 Prover9 (32) version 2009-11A, November 2009.
% 2.08/2.35 Process 26505 was started by sandbox2 on n025.cluster.edu,
% 2.08/2.35 Sun Jul 10 04:53:47 2022
% 2.08/2.35 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_26351_n025.cluster.edu".
% 2.08/2.35 ============================== end of head ===========================
% 2.08/2.35
% 2.08/2.35 ============================== INPUT =================================
% 2.08/2.35
% 2.08/2.35 % Reading from file /tmp/Prover9_26351_n025.cluster.edu
% 2.08/2.35
% 2.08/2.35 set(prolog_style_variables).
% 2.08/2.35 set(auto2).
% 2.08/2.35 % set(auto2) -> set(auto).
% 2.08/2.35 % set(auto) -> set(auto_inference).
% 2.08/2.35 % set(auto) -> set(auto_setup).
% 2.08/2.35 % set(auto_setup) -> set(predicate_elim).
% 2.08/2.35 % set(auto_setup) -> assign(eq_defs, unfold).
% 2.08/2.35 % set(auto) -> set(auto_limits).
% 2.08/2.35 % set(auto_limits) -> assign(max_weight, "100.000").
% 2.08/2.35 % set(auto_limits) -> assign(sos_limit, 20000).
% 2.08/2.35 % set(auto) -> set(auto_denials).
% 2.08/2.35 % set(auto) -> set(auto_process).
% 2.08/2.35 % set(auto2) -> assign(new_constants, 1).
% 2.08/2.35 % set(auto2) -> assign(fold_denial_max, 3).
% 2.08/2.35 % set(auto2) -> assign(max_weight, "200.000").
% 2.08/2.35 % set(auto2) -> assign(max_hours, 1).
% 2.08/2.35 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 2.08/2.35 % set(auto2) -> assign(max_seconds, 0).
% 2.08/2.35 % set(auto2) -> assign(max_minutes, 5).
% 2.08/2.35 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 2.08/2.35 % set(auto2) -> set(sort_initial_sos).
% 2.08/2.35 % set(auto2) -> assign(sos_limit, -1).
% 2.08/2.35 % set(auto2) -> assign(lrs_ticks, 3000).
% 2.08/2.35 % set(auto2) -> assign(max_megs, 400).
% 2.08/2.35 % set(auto2) -> assign(stats, some).
% 2.08/2.35 % set(auto2) -> clear(echo_input).
% 2.08/2.35 % set(auto2) -> set(quiet).
% 2.08/2.35 % set(auto2) -> clear(print_initial_clauses).
% 2.08/2.35 % set(auto2) -> clear(print_given).
% 2.08/2.35 assign(lrs_ticks,-1).
% 2.08/2.35 assign(sos_limit,10000).
% 2.08/2.35 assign(order,kbo).
% 2.08/2.35 set(lex_order_vars).
% 2.08/2.35 clear(print_given).
% 2.08/2.35
% 2.08/2.35 % formulas(sos). % not echoed (9 formulas)
% 2.08/2.35
% 2.08/2.35 ============================== end of input ==========================
% 2.08/2.35
% 2.08/2.35 % From the command line: assign(max_seconds, 300).
% 2.08/2.35
% 2.08/2.35 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 2.08/2.35
% 2.08/2.35 % Formulas that are not ordinary clauses:
% 2.08/2.35
% 2.08/2.35 ============================== end of process non-clausal formulas ===
% 2.08/2.35
% 2.08/2.35 ============================== PROCESS INITIAL CLAUSES ===============
% 2.08/2.35
% 2.08/2.35 ============================== PREDICATE ELIMINATION =================
% 2.08/2.35
% 2.08/2.35 ============================== end predicate elimination =============
% 2.08/2.35
% 2.08/2.35 Auto_denials: (non-Horn, no changes).
% 2.08/2.35
% 2.08/2.35 Term ordering decisions:
% 2.08/2.35
% 2.08/2.35 % Assigning unary symbol tc_set kb_weight 0 and highest precedence (10).
% 2.08/2.35 Function symbol KB weights: t_b=1. v_S=1. c_emptyset=1. c_Union=1. c_insert=1. c_Main_OsubsetI__1=1. tc_set=0.
% 2.08/2.35
% 2.08/2.35 ============================== end of process initial clauses ========
% 2.08/2.35
% 2.08/2.35 ============================== CLAUSES FOR SEARCH ====================
% 2.08/2.35
% 2.08/2.35 ============================== end of clauses for search =============
% 2.08/2.35
% 2.08/2.35 ============================== SEARCH ================================
% 2.08/2.35
% 2.08/2.35 % Starting search at 0.01 seconds.
% 2.08/2.35
% 2.08/2.35 Low Water (keep): wt=69.000, iters=3386
% 2.08/2.35
% 2.08/2.35 Low Water (keep): wt=63.000, iters=3345
% 2.08/2.35
% 2.08/2.35 Low Water (keep): wt=60.000, iters=3412
% 2.08/2.35
% 2.08/2.35 Low Water (keep): wt=58.000, iters=3346
% 2.08/2.35
% 2.08/2.35 Low Water (keep): wt=57.000, iters=3371
% 2.08/2.35
% 2.08/2.35 Low Water (keep): wt=56.000, iters=3376
% 2.08/2.35
% 2.08/2.35 Low Water (keep): wt=55.000, iters=3341
% 2.08/2.35
% 2.08/2.35 Low Water (keep): wt=54.000, iters=3336
% 2.08/2.35
% 2.08/2.35 Low Water (keep): wt=53.000, iters=3405
% 2.08/2.35
% 2.08/2.35 Low Water (keep): wt=52.000, iters=3344
% 2.08/2.35
% 2.08/2.35 Low Water (keep): wt=51.000, iters=3333
% 2.08/2.35
% 2.08/2.35 Low Water (keep): wt=50.000, iters=3335
% 2.08/2.35
% 2.08/2.35 Low Water (keep): wt=49.000, iters=3355
% 2.08/2.35
% 2.08/2.35 ============================== PROOF =================================
% 2.08/2.35 % SZS status Unsatisfiable
% 2.08/2.35 % SZS output start Refutation
% 2.08/2.35
% 2.08/2.35 % Proof 1 at 1.37 (+ 0.02) seconds.
% 2.08/2.35 % Length of proof is 19.
% 2.08/2.35 % Level of proof is 8.
% 2.08/2.35 % Maximum clause weight is 38.000.
% 2.08/2.35 % Given clauses 465.
% 2.08/2.35
% 2.08/2.35 1 c_in(A,c_insert(A,B,C),C) # label(cls_Set_OinsertCI_1) # label(axiom). [assumption].
% 2.08/2.35 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].
% 2.08/2.35 3 -c_lessequals(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 2.08/2.35 5 c_lessequals(c_Union(v_S,t_b),A,tc_set(t_b)) | -c_in(A,v_S,tc_set(t_b)) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 2.08/2.35 6 -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].
% 2.08/2.35 7 -c_lessequals(A,B,tc_set(C)) | -c_lessequals(B,A,tc_set(C)) | B = A # label(cls_Set_Osubset__antisym_0) # label(axiom). [assumption].
% 2.08/2.35 9 -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].
% 2.08/2.35 10 c_in(c_Main_OsubsetI__1(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)),v_S,tc_set(t_b)). [resolve(3,a,2,b)].
% 2.08/2.35 12 -c_in(c_Main_OsubsetI__1(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)),c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)). [ur(6,b,3,a)].
% 2.08/2.35 14 -c_lessequals(A,B,tc_set(C)) | B = A | c_in(c_Main_OsubsetI__1(B,A,C),B,C). [resolve(7,b,2,b)].
% 2.08/2.35 17 -c_in(A,c_Main_OsubsetI__1(v_S,c_insert(B,c_emptyset,tc_set(t_b)),tc_set(t_b)),t_b) | c_in(A,c_Union(v_S,t_b),t_b). [resolve(10,a,9,b)].
% 2.08/2.35 19 c_lessequals(c_Union(v_S,t_b),c_Main_OsubsetI__1(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)),tc_set(t_b)). [resolve(10,a,5,b)].
% 2.08/2.35 40 c_Main_OsubsetI__1(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)) = c_Union(v_S,t_b) | c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)),c_Union(v_S,t_b),t_b),c_Main_OsubsetI__1(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)),t_b). [resolve(19,a,14,a)].
% 2.08/2.35 41 -c_lessequals(c_Main_OsubsetI__1(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)),c_Union(v_S,t_b),tc_set(t_b)) | c_Main_OsubsetI__1(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)) = c_Union(v_S,t_b). [resolve(19,a,7,b),flip(b)].
% 2.08/2.35 321 c_Main_OsubsetI__1(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)) = c_Union(v_S,t_b) | c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)),c_Union(v_S,t_b),t_b),c_Union(v_S,t_b),t_b). [resolve(40,b,17,a)].
% 2.08/2.35 9569 c_Main_OsubsetI__1(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)) = c_Union(v_S,t_b) | c_lessequals(c_Main_OsubsetI__1(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)),c_Union(v_S,t_b),tc_set(t_b)). [resolve(321,b,6,a)].
% 2.08/2.35 9571 c_Main_OsubsetI__1(v_S,c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)) = c_Union(v_S,t_b). [resolve(9569,b,41,a),merge(b)].
% 2.08/2.35 9986 -c_in(c_Union(v_S,t_b),c_insert(A,c_emptyset,tc_set(t_b)),tc_set(t_b)). [back_rewrite(12),rewrite([9571(8)])].
% 2.08/2.35 9987 $F. [resolve(9986,a,1,a)].
% 2.08/2.35
% 2.08/2.35 % SZS output end Refutation
% 2.08/2.35 ============================== end of proof ==========================
% 2.08/2.35
% 2.08/2.35 ============================== STATISTICS ============================
% 2.08/2.35
% 2.08/2.35 Given=465. Generated=25173. Kept=9986. proofs=1.
% 2.08/2.35 Usable=408. Sos=8384. Demods=1. Limbo=415, Disabled=787. Hints=0.
% 2.08/2.35 Megabytes=22.16.
% 2.08/2.35 User_CPU=1.37, System_CPU=0.02, Wall_clock=1.
% 2.08/2.35
% 2.08/2.35 ============================== end of statistics =====================
% 2.08/2.35
% 2.08/2.35 ============================== end of search =========================
% 2.08/2.35
% 2.08/2.35 THEOREM PROVED
% 2.08/2.35 % SZS status Unsatisfiable
% 2.08/2.35
% 2.08/2.35 Exiting with 1 proof.
% 2.08/2.35
% 2.08/2.35 Process 26505 exit (max_proofs) Sun Jul 10 04:53:48 2022
% 2.08/2.35 Prover9 interrupted
%------------------------------------------------------------------------------