TSTP Solution File: SET917+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET917+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 04:33:23 EDT 2022
% Result : Theorem 0.42s 0.96s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET917+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n027.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 12:32:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/0.96 ============================== Prover9 ===============================
% 0.42/0.96 Prover9 (32) version 2009-11A, November 2009.
% 0.42/0.96 Process 10839 was started by sandbox on n027.cluster.edu,
% 0.42/0.96 Sun Jul 10 12:32:03 2022
% 0.42/0.96 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10686_n027.cluster.edu".
% 0.42/0.96 ============================== end of head ===========================
% 0.42/0.96
% 0.42/0.96 ============================== INPUT =================================
% 0.42/0.96
% 0.42/0.96 % Reading from file /tmp/Prover9_10686_n027.cluster.edu
% 0.42/0.96
% 0.42/0.96 set(prolog_style_variables).
% 0.42/0.96 set(auto2).
% 0.42/0.96 % set(auto2) -> set(auto).
% 0.42/0.96 % set(auto) -> set(auto_inference).
% 0.42/0.96 % set(auto) -> set(auto_setup).
% 0.42/0.96 % set(auto_setup) -> set(predicate_elim).
% 0.42/0.96 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/0.96 % set(auto) -> set(auto_limits).
% 0.42/0.96 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/0.96 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/0.96 % set(auto) -> set(auto_denials).
% 0.42/0.96 % set(auto) -> set(auto_process).
% 0.42/0.96 % set(auto2) -> assign(new_constants, 1).
% 0.42/0.96 % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/0.96 % set(auto2) -> assign(max_weight, "200.000").
% 0.42/0.96 % set(auto2) -> assign(max_hours, 1).
% 0.42/0.96 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/0.96 % set(auto2) -> assign(max_seconds, 0).
% 0.42/0.96 % set(auto2) -> assign(max_minutes, 5).
% 0.42/0.96 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/0.96 % set(auto2) -> set(sort_initial_sos).
% 0.42/0.96 % set(auto2) -> assign(sos_limit, -1).
% 0.42/0.96 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/0.96 % set(auto2) -> assign(max_megs, 400).
% 0.42/0.96 % set(auto2) -> assign(stats, some).
% 0.42/0.96 % set(auto2) -> clear(echo_input).
% 0.42/0.96 % set(auto2) -> set(quiet).
% 0.42/0.96 % set(auto2) -> clear(print_initial_clauses).
% 0.42/0.96 % set(auto2) -> clear(print_given).
% 0.42/0.96 assign(lrs_ticks,-1).
% 0.42/0.96 assign(sos_limit,10000).
% 0.42/0.96 assign(order,kbo).
% 0.42/0.96 set(lex_order_vars).
% 0.42/0.96 clear(print_given).
% 0.42/0.96
% 0.42/0.96 % formulas(sos). % not echoed (9 formulas)
% 0.42/0.96
% 0.42/0.96 ============================== end of input ==========================
% 0.42/0.96
% 0.42/0.96 % From the command line: assign(max_seconds, 300).
% 0.42/0.96
% 0.42/0.96 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/0.96
% 0.42/0.96 % Formulas that are not ordinary clauses:
% 0.42/0.96 1 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.42/0.96 2 (all A all B set_intersection2(A,B) = set_intersection2(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/0.96 3 (all A all B set_intersection2(A,A) = A) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/0.96 4 (all A all B (-in(A,B) -> disjoint(singleton(A),B))) # label(l28_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/0.96 5 (all A all B (in(A,B) -> set_intersection2(B,singleton(A)) = singleton(A))) # label(l32_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/0.96 6 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/0.96 7 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/0.96 8 (all A all B (disjoint(A,B) -> disjoint(B,A))) # label(symmetry_r1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/0.96 9 -(all A all B (disjoint(singleton(A),B) | set_intersection2(singleton(A),B) = singleton(A))) # label(t58_zfmisc_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.42/0.96
% 0.42/0.96 ============================== end of process non-clausal formulas ===
% 0.42/0.96
% 0.42/0.96 ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/0.96
% 0.42/0.96 ============================== PREDICATE ELIMINATION =================
% 0.42/0.96
% 0.42/0.96 ============================== end predicate elimination =============
% 0.42/0.96
% 0.42/0.96 Auto_denials: (non-Horn, no changes).
% 0.42/0.96
% 0.42/0.96 Term ordering decisions:
% 0.42/0.96
% 0.42/0.96 % Assigning unary symbol singleton kb_weight 0 and highest precedence (10).
% 0.42/0.96 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. set_intersection2=1. singleton=0.
% 0.42/0.96
% 0.42/0.96 ============================== end of process initial clauses ========
% 0.42/0.96
% 0.42/0.96 ============================== CLAUSES FOR SEARCH ====================
% 0.42/0.96
% 0.42/0.96 ============================== end of clauses for search =============
% 0.42/0.96
% 0.42/0.96 ============================== SEARCH ================================
% 0.42/0.96
% 0.42/0.96 % Starting search at 0.01 seconds.
% 0.42/0.96
% 0.42/0.96 ============================== PROOF =================================
% 0.42/0.96 % SZS status Theorem
% 0.42/0.96 % SZS output start Refutation
% 0.42/0.96
% 0.42/0.96 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.42/0.96 % Length of proof is 13.
% 0.42/0.96 % Level of proof is 4.
% 0.42/0.96 % Maximum clause weight is 10.000.
% 0.42/0.96 % Given clauses 13.
% 0.42/0.96
% 0.42/0.96 2 (all A all B set_intersection2(A,B) = set_intersection2(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/0.96 4 (all A all B (-in(A,B) -> disjoint(singleton(A),B))) # label(l28_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/0.96 5 (all A all B (in(A,B) -> set_intersection2(B,singleton(A)) = singleton(A))) # label(l32_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/0.96 9 -(all A all B (disjoint(singleton(A),B) | set_intersection2(singleton(A),B) = singleton(A))) # label(t58_zfmisc_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.42/0.96 12 set_intersection2(A,B) = set_intersection2(B,A) # label(commutativity_k3_xboole_0) # label(axiom). [clausify(2)].
% 0.42/0.96 13 in(A,B) | disjoint(singleton(A),B) # label(l28_zfmisc_1) # label(axiom). [clausify(4)].
% 0.42/0.96 15 -disjoint(singleton(c3),c4) # label(t58_zfmisc_1) # label(negated_conjecture). [clausify(9)].
% 0.42/0.96 17 singleton(c3) != set_intersection2(singleton(c3),c4) # label(t58_zfmisc_1) # label(negated_conjecture). [clausify(9)].
% 0.42/0.96 18 set_intersection2(c4,singleton(c3)) != singleton(c3). [copy(17),rewrite([12(6)]),flip(a)].
% 0.42/0.96 20 -in(A,B) | singleton(A) = set_intersection2(B,singleton(A)) # label(l32_zfmisc_1) # label(axiom). [clausify(5)].
% 0.42/0.96 21 -in(A,B) | set_intersection2(B,singleton(A)) = singleton(A). [copy(20),flip(b)].
% 0.42/0.96 26 -in(c3,c4). [ur(21,b,18,a)].
% 0.42/0.96 30 $F. [resolve(26,a,13,a),unit_del(a,15)].
% 0.42/0.96
% 0.42/0.96 % SZS output end Refutation
% 0.42/0.96 ============================== end of proof ==========================
% 0.42/0.96
% 0.42/0.96 ============================== STATISTICS ============================
% 0.42/0.96
% 0.42/0.96 Given=13. Generated=28. Kept=18. proofs=1.
% 0.42/0.96 Usable=13. Sos=5. Demods=2. Limbo=0, Disabled=10. Hints=0.
% 0.42/0.96 Megabytes=0.04.
% 0.42/0.96 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.42/0.96
% 0.42/0.96 ============================== end of statistics =====================
% 0.42/0.96
% 0.42/0.96 ============================== end of search =========================
% 0.42/0.96
% 0.42/0.96 THEOREM PROVED
% 0.42/0.96 % SZS status Theorem
% 0.42/0.96
% 0.42/0.96 Exiting with 1 proof.
% 0.42/0.96
% 0.42/0.96 Process 10839 exit (max_proofs) Sun Jul 10 12:32:03 2022
% 0.42/0.96 Prover9 interrupted
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