TSTP Solution File: SET014-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET014-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.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 04:25:39 EDT 2022
% Result : Unsatisfiable 0.43s 0.96s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET014-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n003.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 : Mon Jul 11 10:15:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/0.96 ============================== Prover9 ===============================
% 0.43/0.96 Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.96 Process 17362 was started by sandbox on n003.cluster.edu,
% 0.43/0.96 Mon Jul 11 10:15:00 2022
% 0.43/0.96 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_17208_n003.cluster.edu".
% 0.43/0.96 ============================== end of head ===========================
% 0.43/0.96
% 0.43/0.96 ============================== INPUT =================================
% 0.43/0.96
% 0.43/0.96 % Reading from file /tmp/Prover9_17208_n003.cluster.edu
% 0.43/0.96
% 0.43/0.96 set(prolog_style_variables).
% 0.43/0.96 set(auto2).
% 0.43/0.96 % set(auto2) -> set(auto).
% 0.43/0.96 % set(auto) -> set(auto_inference).
% 0.43/0.96 % set(auto) -> set(auto_setup).
% 0.43/0.96 % set(auto_setup) -> set(predicate_elim).
% 0.43/0.96 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.96 % set(auto) -> set(auto_limits).
% 0.43/0.96 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.96 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.96 % set(auto) -> set(auto_denials).
% 0.43/0.96 % set(auto) -> set(auto_process).
% 0.43/0.96 % set(auto2) -> assign(new_constants, 1).
% 0.43/0.96 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.96 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.96 % set(auto2) -> assign(max_hours, 1).
% 0.43/0.96 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.96 % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.96 % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.96 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.96 % set(auto2) -> set(sort_initial_sos).
% 0.43/0.96 % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.96 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.96 % set(auto2) -> assign(max_megs, 400).
% 0.43/0.96 % set(auto2) -> assign(stats, some).
% 0.43/0.96 % set(auto2) -> clear(echo_input).
% 0.43/0.96 % set(auto2) -> set(quiet).
% 0.43/0.96 % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.96 % set(auto2) -> clear(print_given).
% 0.43/0.96 assign(lrs_ticks,-1).
% 0.43/0.96 assign(sos_limit,10000).
% 0.43/0.96 assign(order,kbo).
% 0.43/0.96 set(lex_order_vars).
% 0.43/0.96 clear(print_given).
% 0.43/0.96
% 0.43/0.96 % formulas(sos). % not echoed (24 formulas)
% 0.43/0.96
% 0.43/0.96 ============================== end of input ==========================
% 0.43/0.96
% 0.43/0.96 % From the command line: assign(max_seconds, 300).
% 0.43/0.96
% 0.43/0.96 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.96
% 0.43/0.96 % Formulas that are not ordinary clauses:
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% 0.43/0.96 ============================== end of process non-clausal formulas ===
% 0.43/0.96
% 0.43/0.96 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.96
% 0.43/0.96 ============================== PREDICATE ELIMINATION =================
% 0.43/0.96
% 0.43/0.96 ============================== end predicate elimination =============
% 0.43/0.96
% 0.43/0.96 Auto_denials: (non-Horn, no changes).
% 0.43/0.96
% 0.43/0.96 Term ordering decisions:
% 0.43/0.96
% 0.43/0.96 % Assigning unary symbol complement kb_weight 0 and highest precedence (12).
% 0.43/0.96 Function symbol KB weights: cs=1. as=1. bs=1. empty_set=1. intersection=1. union=1. member_of_1_not_of_2=1. complement=0.
% 0.43/0.96
% 0.43/0.96 ============================== end of process initial clauses ========
% 0.43/0.96
% 0.43/0.96 ============================== CLAUSES FOR SEARCH ====================
% 0.43/0.96
% 0.43/0.96 ============================== end of clauses for search =============
% 0.43/0.96
% 0.43/0.96 ============================== SEARCH ================================
% 0.43/0.96
% 0.43/0.96 % Starting search at 0.01 seconds.
% 0.43/0.96
% 0.43/0.96 ============================== PROOF =================================
% 0.43/0.96 % SZS status Unsatisfiable
% 0.43/0.96 % SZS output start Refutation
% 0.43/0.96
% 0.43/0.96 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.43/0.96 % Length of proof is 15.
% 0.43/0.96 % Level of proof is 3.
% 0.43/0.96 % Maximum clause weight is 14.000.
% 0.43/0.96 % Given clauses 45.
% 0.43/0.96
% 0.43/0.96 3 subset(as,cs) # label(a_subset_of_c) # label(hypothesis). [assumption].
% 0.43/0.96 4 subset(bs,cs) # label(b_subset_of_c) # label(hypothesis). [assumption].
% 0.43/0.96 6 subset(A,B) | member(member_of_1_not_of_2(A,B),A) # label(subsets_axiom1) # label(axiom). [assumption].
% 0.43/0.96 8 -subset(union(as,bs),cs) # label(prove_a_union_b_subset_of_c) # label(negated_conjecture). [assumption].
% 0.43/0.96 14 -member(member_of_1_not_of_2(A,B),B) | subset(A,B) # label(subsets_axiom2) # label(axiom). [assumption].
% 0.43/0.96 19 -member(A,B) | -subset(B,C) | member(A,C) # label(membership_in_subsets) # label(axiom). [assumption].
% 0.43/0.96 23 -member(A,union(B,C)) | member(A,B) | member(A,C) # label(member_of_union_is_member_of_one_set) # label(axiom). [assumption].
% 0.43/0.96 27 member(member_of_1_not_of_2(union(as,bs),cs),union(as,bs)). [resolve(8,a,6,a)].
% 0.43/0.96 32 -member(member_of_1_not_of_2(union(as,bs),cs),cs). [ur(14,b,8,a)].
% 0.43/0.96 38 -member(A,bs) | member(A,cs). [resolve(19,b,4,a)].
% 0.43/0.96 39 -member(A,as) | member(A,cs). [resolve(19,b,3,a)].
% 0.43/0.96 53 member(member_of_1_not_of_2(union(as,bs),cs),as) | member(member_of_1_not_of_2(union(as,bs),cs),bs). [resolve(27,a,23,a)].
% 0.43/0.96 96 -member(member_of_1_not_of_2(union(as,bs),cs),as). [ur(39,b,32,a)].
% 0.43/0.96 97 -member(member_of_1_not_of_2(union(as,bs),cs),bs). [ur(38,b,32,a)].
% 0.43/0.96 109 $F. [back_unit_del(53),unit_del(a,96),unit_del(b,97)].
% 0.43/0.96
% 0.43/0.96 % SZS output end Refutation
% 0.43/0.96 ============================== end of proof ==========================
% 0.43/0.96
% 0.43/0.96 ============================== STATISTICS ============================
% 0.43/0.96
% 0.43/0.96 Given=45. Generated=161. Kept=108. proofs=1.
% 0.43/0.96 Usable=45. Sos=47. Demods=0. Limbo=13, Disabled=27. Hints=0.
% 0.43/0.96 Megabytes=0.11.
% 0.43/0.96 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.43/0.96
% 0.43/0.96 ============================== end of statistics =====================
% 0.43/0.96
% 0.43/0.96 ============================== end of search =========================
% 0.43/0.96
% 0.43/0.96 THEOREM PROVED
% 0.43/0.96 % SZS status Unsatisfiable
% 0.43/0.96
% 0.43/0.96 Exiting with 1 proof.
% 0.43/0.96
% 0.43/0.96 Process 17362 exit (max_proofs) Mon Jul 11 10:15:00 2022
% 0.43/0.96 Prover9 interrupted
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