TSTP Solution File: SET573+3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET573+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.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 04:30:19 EDT 2022
% Result : Theorem 0.46s 1.01s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET573+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n008.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 06:01:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.01 ============================== Prover9 ===============================
% 0.46/1.01 Prover9 (32) version 2009-11A, November 2009.
% 0.46/1.01 Process 9152 was started by sandbox on n008.cluster.edu,
% 0.46/1.01 Sun Jul 10 06:01:39 2022
% 0.46/1.01 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_8999_n008.cluster.edu".
% 0.46/1.01 ============================== end of head ===========================
% 0.46/1.01
% 0.46/1.01 ============================== INPUT =================================
% 0.46/1.01
% 0.46/1.01 % Reading from file /tmp/Prover9_8999_n008.cluster.edu
% 0.46/1.01
% 0.46/1.01 set(prolog_style_variables).
% 0.46/1.01 set(auto2).
% 0.46/1.01 % set(auto2) -> set(auto).
% 0.46/1.01 % set(auto) -> set(auto_inference).
% 0.46/1.01 % set(auto) -> set(auto_setup).
% 0.46/1.01 % set(auto_setup) -> set(predicate_elim).
% 0.46/1.01 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/1.01 % set(auto) -> set(auto_limits).
% 0.46/1.01 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/1.01 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/1.01 % set(auto) -> set(auto_denials).
% 0.46/1.01 % set(auto) -> set(auto_process).
% 0.46/1.01 % set(auto2) -> assign(new_constants, 1).
% 0.46/1.01 % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/1.01 % set(auto2) -> assign(max_weight, "200.000").
% 0.46/1.01 % set(auto2) -> assign(max_hours, 1).
% 0.46/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/1.01 % set(auto2) -> assign(max_seconds, 0).
% 0.46/1.01 % set(auto2) -> assign(max_minutes, 5).
% 0.46/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/1.01 % set(auto2) -> set(sort_initial_sos).
% 0.46/1.01 % set(auto2) -> assign(sos_limit, -1).
% 0.46/1.01 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/1.01 % set(auto2) -> assign(max_megs, 400).
% 0.46/1.01 % set(auto2) -> assign(stats, some).
% 0.46/1.01 % set(auto2) -> clear(echo_input).
% 0.46/1.01 % set(auto2) -> set(quiet).
% 0.46/1.01 % set(auto2) -> clear(print_initial_clauses).
% 0.46/1.01 % set(auto2) -> clear(print_given).
% 0.46/1.01 assign(lrs_ticks,-1).
% 0.46/1.01 assign(sos_limit,10000).
% 0.46/1.01 assign(order,kbo).
% 0.46/1.01 set(lex_order_vars).
% 0.46/1.01 clear(print_given).
% 0.46/1.01
% 0.46/1.01 % formulas(sos). % not echoed (4 formulas)
% 0.46/1.01
% 0.46/1.01 ============================== end of input ==========================
% 0.46/1.01
% 0.46/1.01 % From the command line: assign(max_seconds, 300).
% 0.46/1.01
% 0.46/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/1.01
% 0.46/1.01 % Formulas that are not ordinary clauses:
% 0.46/1.01 1 (all B all C (intersect(B,C) <-> (exists D (member(D,B) & member(D,C))))) # label(intersect_defn) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.01 2 (all B all C (disjoint(B,C) <-> -intersect(B,C))) # label(disjoint_defn) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.01 3 (all B all C (intersect(B,C) -> intersect(C,B))) # label(symmetry_of_intersect) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.01 4 -(all B all C all D (member(B,C) & disjoint(C,D) -> -member(B,D))) # label(prove_th12) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.46/1.01
% 0.46/1.01 ============================== end of process non-clausal formulas ===
% 0.46/1.01
% 0.46/1.01 ============================== PROCESS INITIAL CLAUSES ===============
% 0.46/1.01
% 0.46/1.01 ============================== PREDICATE ELIMINATION =================
% 0.46/1.01 5 -disjoint(A,B) | -intersect(A,B) # label(disjoint_defn) # label(axiom). [clausify(2)].
% 0.46/1.01 6 disjoint(c2,c3) # label(prove_th12) # label(negated_conjecture). [clausify(4)].
% 0.46/1.01 7 disjoint(A,B) | intersect(A,B) # label(disjoint_defn) # label(axiom). [clausify(2)].
% 0.46/1.01 Derived: -intersect(c2,c3). [resolve(5,a,6,a)].
% 0.46/1.01
% 0.46/1.01 ============================== end predicate elimination =============
% 0.46/1.01
% 0.46/1.01 Auto_denials: (no changes).
% 0.46/1.01
% 0.46/1.01 Term ordering decisions:
% 0.46/1.01 Function symbol KB weights: c1=1. c2=1. c3=1. f1=1.
% 0.46/1.01
% 0.46/1.01 ============================== end of process initial clauses ========
% 0.46/1.01
% 0.46/1.01 ============================== CLAUSES FOR SEARCH ====================
% 0.46/1.01
% 0.46/1.01 ============================== end of clauses for search =============
% 0.46/1.01
% 0.46/1.01 ============================== SEARCH ================================
% 0.46/1.01
% 0.46/1.01 % Starting search at 0.01 seconds.
% 0.46/1.01
% 0.46/1.01 ============================== PROOF =================================
% 0.46/1.01 % SZS status Theorem
% 0.46/1.01 % SZS output start Refutation
% 0.46/1.01
% 0.46/1.01 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.46/1.01 % Length of proof is 11.
% 0.46/1.01 % Level of proof is 3.
% 0.46/1.01 % Maximum clause weight is 9.000.
% 0.46/1.01 % Given clauses 6.
% 0.46/1.01
% 0.46/1.01 1 (all B all C (intersect(B,C) <-> (exists D (member(D,B) & member(D,C))))) # label(intersect_defn) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.01 2 (all B all C (disjoint(B,C) <-> -intersect(B,C))) # label(disjoint_defn) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.01 4 -(all B all C all D (member(B,C) & disjoint(C,D) -> -member(B,D))) # label(prove_th12) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.46/1.01 5 -disjoint(A,B) | -intersect(A,B) # label(disjoint_defn) # label(axiom). [clausify(2)].
% 0.46/1.01 6 disjoint(c2,c3) # label(prove_th12) # label(negated_conjecture). [clausify(4)].
% 0.46/1.01 8 member(c1,c2) # label(prove_th12) # label(negated_conjecture). [clausify(4)].
% 0.46/1.01 9 member(c1,c3) # label(prove_th12) # label(negated_conjecture). [clausify(4)].
% 0.46/1.01 13 intersect(A,B) | -member(C,A) | -member(C,B) # label(intersect_defn) # label(axiom). [clausify(1)].
% 0.46/1.01 14 -intersect(c2,c3). [resolve(5,a,6,a)].
% 0.46/1.01 17 intersect(c2,c3). [ur(13,b,8,a,c,9,a)].
% 0.46/1.01 18 $F. [resolve(17,a,14,a)].
% 0.46/1.01
% 0.46/1.01 % SZS output end Refutation
% 0.46/1.01 ============================== end of proof ==========================
% 0.46/1.01
% 0.46/1.01 ============================== STATISTICS ============================
% 0.46/1.01
% 0.46/1.01 Given=6. Generated=10. Kept=10. proofs=1.
% 0.46/1.01 Usable=6. Sos=1. Demods=0. Limbo=2, Disabled=10. Hints=0.
% 0.46/1.01 Megabytes=0.03.
% 0.46/1.01 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.46/1.01
% 0.46/1.01 ============================== end of statistics =====================
% 0.46/1.01
% 0.46/1.01 ============================== end of search =========================
% 0.46/1.01
% 0.46/1.01 THEOREM PROVED
% 0.46/1.01 % SZS status Theorem
% 0.46/1.01
% 0.46/1.01 Exiting with 1 proof.
% 0.46/1.01
% 0.46/1.01 Process 9152 exit (max_proofs) Sun Jul 10 06:01:39 2022
% 0.46/1.01 Prover9 interrupted
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