TSTP Solution File: SET924+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET924+1 : 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 04:33:26 EDT 2022
% Result : Theorem 0.71s 0.97s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET924+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n029.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 15:43:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/0.97 ============================== Prover9 ===============================
% 0.71/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.71/0.97 Process 26651 was started by sandbox2 on n029.cluster.edu,
% 0.71/0.97 Sun Jul 10 15:43:17 2022
% 0.71/0.97 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_26498_n029.cluster.edu".
% 0.71/0.97 ============================== end of head ===========================
% 0.71/0.97
% 0.71/0.97 ============================== INPUT =================================
% 0.71/0.97
% 0.71/0.97 % Reading from file /tmp/Prover9_26498_n029.cluster.edu
% 0.71/0.97
% 0.71/0.97 set(prolog_style_variables).
% 0.71/0.97 set(auto2).
% 0.71/0.97 % set(auto2) -> set(auto).
% 0.71/0.97 % set(auto) -> set(auto_inference).
% 0.71/0.97 % set(auto) -> set(auto_setup).
% 0.71/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.71/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.71/0.97 % set(auto) -> set(auto_limits).
% 0.71/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.71/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.71/0.97 % set(auto) -> set(auto_denials).
% 0.71/0.97 % set(auto) -> set(auto_process).
% 0.71/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.71/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.71/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.71/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.71/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.71/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.71/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.71/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.71/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.71/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.71/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.71/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.71/0.97 % set(auto2) -> assign(stats, some).
% 0.71/0.97 % set(auto2) -> clear(echo_input).
% 0.71/0.97 % set(auto2) -> set(quiet).
% 0.71/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.71/0.97 % set(auto2) -> clear(print_given).
% 0.71/0.97 assign(lrs_ticks,-1).
% 0.71/0.97 assign(sos_limit,10000).
% 0.71/0.97 assign(order,kbo).
% 0.71/0.97 set(lex_order_vars).
% 0.71/0.97 clear(print_given).
% 0.71/0.97
% 0.71/0.97 % formulas(sos). % not echoed (5 formulas)
% 0.71/0.97
% 0.71/0.97 ============================== end of input ==========================
% 0.71/0.97
% 0.71/0.97 % From the command line: assign(max_seconds, 300).
% 0.71/0.97
% 0.71/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.71/0.97
% 0.71/0.97 % Formulas that are not ordinary clauses:
% 0.71/0.97 1 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 2 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 3 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 4 (all A all B (set_difference(singleton(A),B) = singleton(A) <-> -in(A,B))) # label(l34_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 5 -(all A all B (set_difference(singleton(A),B) = singleton(A) <-> -in(A,B))) # label(t67_zfmisc_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.71/0.97
% 0.71/0.97 ============================== end of process non-clausal formulas ===
% 0.71/0.97
% 0.71/0.97 ============================== PROCESS INITIAL CLAUSES ===============
% 0.71/0.97
% 0.71/0.97 ============================== PREDICATE ELIMINATION =================
% 0.71/0.97
% 0.71/0.97 ============================== end predicate elimination =============
% 0.71/0.97
% 0.71/0.97 Auto_denials: (non-Horn, no changes).
% 0.71/0.97
% 0.71/0.97 Term ordering decisions:
% 0.71/0.97
% 0.71/0.97 % Assigning unary symbol singleton kb_weight 0 and highest precedence (9).
% 0.71/0.97 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. set_difference=1. singleton=0.
% 0.71/0.97
% 0.71/0.97 ============================== end of process initial clauses ========
% 0.71/0.97
% 0.71/0.97 ============================== CLAUSES FOR SEARCH ====================
% 0.71/0.97
% 0.71/0.97 ============================== end of clauses for search =============
% 0.71/0.97
% 0.71/0.97 ============================== SEARCH ================================
% 0.71/0.97
% 0.71/0.97 % Starting search at 0.01 seconds.
% 0.71/0.97
% 0.71/0.97 ============================== PROOF =================================
% 0.71/0.97 % SZS status Theorem
% 0.71/0.97 % SZS output start Refutation
% 0.71/0.97
% 0.71/0.97 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.71/0.97 % Length of proof is 9.
% 0.71/0.97 % Level of proof is 4.
% 0.71/0.97 % Maximum clause weight is 10.000.
% 0.71/0.97 % Given clauses 9.
% 0.71/0.97
% 0.71/0.97 4 (all A all B (set_difference(singleton(A),B) = singleton(A) <-> -in(A,B))) # label(l34_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.97 5 -(all A all B (set_difference(singleton(A),B) = singleton(A) <-> -in(A,B))) # label(t67_zfmisc_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.71/0.98 7 set_difference(singleton(A),B) = singleton(A) | in(A,B) # label(l34_zfmisc_1) # label(axiom). [clausify(4)].
% 0.71/0.98 10 set_difference(singleton(A),B) != singleton(A) | -in(A,B) # label(l34_zfmisc_1) # label(axiom). [clausify(4)].
% 0.71/0.98 11 set_difference(singleton(c3),c4) = singleton(c3) | -in(c3,c4) # label(t67_zfmisc_1) # label(negated_conjecture). [clausify(5)].
% 0.71/0.98 12 set_difference(singleton(c3),c4) != singleton(c3) | in(c3,c4) # label(t67_zfmisc_1) # label(negated_conjecture). [clausify(5)].
% 0.71/0.98 15 set_difference(singleton(c3),c4) = singleton(c3). [resolve(11,b,7,b),merge(b)].
% 0.71/0.98 16 in(c3,c4). [back_rewrite(12),rewrite([15(4)]),xx(a)].
% 0.71/0.98 20 $F. [resolve(16,a,10,b),rewrite([15(4)]),xx(a)].
% 0.71/0.98
% 0.71/0.98 % SZS output end Refutation
% 0.71/0.98 ============================== end of proof ==========================
% 0.71/0.98
% 0.71/0.98 ============================== STATISTICS ============================
% 0.71/0.98
% 0.71/0.98 Given=9. Generated=18. Kept=14. proofs=1.
% 0.71/0.98 Usable=8. Sos=3. Demods=3. Limbo=1, Disabled=9. Hints=0.
% 0.71/0.98 Megabytes=0.03.
% 0.71/0.98 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.71/0.98
% 0.71/0.98 ============================== end of statistics =====================
% 0.71/0.98
% 0.71/0.98 ============================== end of search =========================
% 0.71/0.98
% 0.71/0.98 THEOREM PROVED
% 0.71/0.98 % SZS status Theorem
% 0.71/0.98
% 0.71/0.98 Exiting with 1 proof.
% 0.71/0.98
% 0.71/0.98 Process 26651 exit (max_proofs) Sun Jul 10 15:43:17 2022
% 0.71/0.98 Prover9 interrupted
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