TSTP Solution File: SET848-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET848-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.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 04:32:46 EDT 2022
% Result : Unsatisfiable 0.68s 0.97s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET848-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 07:04:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.68/0.97 ============================== Prover9 ===============================
% 0.68/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.68/0.97 Process 3677 was started by sandbox2 on n029.cluster.edu,
% 0.68/0.97 Sun Jul 10 07:04:16 2022
% 0.68/0.97 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3524_n029.cluster.edu".
% 0.68/0.97 ============================== end of head ===========================
% 0.68/0.97
% 0.68/0.97 ============================== INPUT =================================
% 0.68/0.97
% 0.68/0.97 % Reading from file /tmp/Prover9_3524_n029.cluster.edu
% 0.68/0.97
% 0.68/0.97 set(prolog_style_variables).
% 0.68/0.97 set(auto2).
% 0.68/0.97 % set(auto2) -> set(auto).
% 0.68/0.97 % set(auto) -> set(auto_inference).
% 0.68/0.97 % set(auto) -> set(auto_setup).
% 0.68/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.68/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.68/0.97 % set(auto) -> set(auto_limits).
% 0.68/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.68/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.68/0.97 % set(auto) -> set(auto_denials).
% 0.68/0.97 % set(auto) -> set(auto_process).
% 0.68/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.68/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.68/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.68/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.68/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.68/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.68/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.68/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.68/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.68/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.68/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.68/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.68/0.97 % set(auto2) -> assign(stats, some).
% 0.68/0.97 % set(auto2) -> clear(echo_input).
% 0.68/0.97 % set(auto2) -> set(quiet).
% 0.68/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.68/0.97 % set(auto2) -> clear(print_given).
% 0.68/0.97 assign(lrs_ticks,-1).
% 0.68/0.97 assign(sos_limit,10000).
% 0.68/0.97 assign(order,kbo).
% 0.68/0.97 set(lex_order_vars).
% 0.68/0.97 clear(print_given).
% 0.68/0.97
% 0.68/0.97 % formulas(sos). % not echoed (7 formulas)
% 0.68/0.97
% 0.68/0.97 ============================== end of input ==========================
% 0.68/0.97
% 0.68/0.97 % From the command line: assign(max_seconds, 300).
% 0.68/0.97
% 0.68/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.68/0.97
% 0.68/0.97 % Formulas that are not ordinary clauses:
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% 0.68/0.97 ============================== end of process non-clausal formulas ===
% 0.68/0.97
% 0.68/0.97 ============================== PROCESS INITIAL CLAUSES ===============
% 0.68/0.97
% 0.68/0.97 ============================== PREDICATE ELIMINATION =================
% 0.68/0.97
% 0.68/0.97 ============================== end predicate elimination =============
% 0.68/0.97
% 0.68/0.97 Auto_denials: (non-Horn, no changes).
% 0.68/0.97
% 0.68/0.97 Term ordering decisions:
% 0.68/0.97
% 0.68/0.97 % Assigning unary symbol tc_set kb_weight 0 and highest precedence (12).
% 0.68/0.97 Function symbol KB weights: t_a=1. v_S=1. c_Zorn_OTFin=1. c_Union=1. c_Zorn_Ochain=1. c_Zorn_Omaxchain=1. c_Zorn_Osucc=1. c_minus=1. tc_set=0.
% 0.68/0.97
% 0.68/0.97 ============================== end of process initial clauses ========
% 0.68/0.97
% 0.68/0.97 ============================== CLAUSES FOR SEARCH ====================
% 0.68/0.97
% 0.68/0.97 ============================== end of clauses for search =============
% 0.68/0.97
% 0.68/0.97 ============================== SEARCH ================================
% 0.68/0.97
% 0.68/0.97 % Starting search at 0.01 seconds.
% 0.68/0.97
% 0.68/0.97 ============================== PROOF =================================
% 0.68/0.97 % SZS status Unsatisfiable
% 0.68/0.97 % SZS output start Refutation
% 0.68/0.97
% 0.68/0.97 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.68/0.97 % Length of proof is 11.
% 0.68/0.97 % Level of proof is 3.
% 0.68/0.97 % Maximum clause weight is 22.000.
% 0.68/0.97 % Given clauses 9.
% 0.68/0.97
% 0.68/0.97 1 c_lessequals(A,A,tc_set(B)) # label(cls_Set_Osubset__refl_0) # label(axiom). [assumption].
% 0.68/0.97 2 c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 0.68/0.97 3 -c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.68/0.97 4 -c_in(A,c_minus(c_Zorn_Ochain(B,C),c_Zorn_Omaxchain(B,C),tc_set(tc_set(tc_set(C)))),tc_set(tc_set(C))) | c_Zorn_Osucc(B,A,C) != A # label(cls_Zorn_Osucc__not__equals_0) # label(axiom). [assumption].
% 0.68/0.97 5 -c_in(A,B,C) | c_in(A,D,C) | c_in(A,c_minus(B,D,tc_set(C)),C) # label(cls_Set_ODiffI_0) # label(axiom). [assumption].
% 0.68/0.97 6 -c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C))) | c_in(A,c_Zorn_Ochain(B,C),tc_set(tc_set(C))) # label(cls_Zorn_OTFin__chain__lemma4_0) # label(axiom). [assumption].
% 0.68/0.97 7 -c_lessequals(A,c_Zorn_OTFin(B,C),tc_set(tc_set(tc_set(C)))) | c_in(c_Union(A,tc_set(C)),c_Zorn_OTFin(B,C),tc_set(tc_set(C))) # label(cls_Zorn_OTFin__UnionI_0) # label(axiom). [assumption].
% 0.68/0.97 8 -c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))). [ur(4,b,2,a)].
% 0.68/0.97 9 c_in(c_Union(c_Zorn_OTFin(A,B),tc_set(B)),c_Zorn_OTFin(A,B),tc_set(tc_set(B))). [resolve(7,a,1,a)].
% 0.68/0.97 10 -c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))). [ur(5,b,3,a,c,8,a)].
% 0.68/0.97 11 $F. [ur(6,b,10,a),unit_del(a,9)].
% 0.68/0.97
% 0.68/0.97 % SZS output end Refutation
% 0.68/0.97 ============================== end of proof ==========================
% 0.68/0.97
% 0.68/0.97 ============================== STATISTICS ============================
% 0.68/0.97
% 0.68/0.97 Given=9. Generated=12. Kept=10. proofs=1.
% 0.68/0.97 Usable=9. Sos=1. Demods=1. Limbo=0, Disabled=7. Hints=0.
% 0.68/0.97 Megabytes=0.05.
% 0.68/0.97 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.68/0.97
% 0.68/0.97 ============================== end of statistics =====================
% 0.68/0.97
% 0.68/0.97 ============================== end of search =========================
% 0.68/0.97
% 0.68/0.97 THEOREM PROVED
% 0.68/0.97 % SZS status Unsatisfiable
% 0.68/0.97
% 0.68/0.97 Exiting with 1 proof.
% 0.68/0.97
% 0.68/0.97 Process 3677 exit (max_proofs) Sun Jul 10 07:04:16 2022
% 0.68/0.97 Prover9 interrupted
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