TSTP Solution File: SET882+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET882+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 04:33:09 EDT 2022
% Result : Theorem 0.71s 0.99s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET882+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 09:06:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/0.99 ============================== Prover9 ===============================
% 0.71/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.71/0.99 Process 26558 was started by sandbox on n027.cluster.edu,
% 0.71/0.99 Mon Jul 11 09:06:04 2022
% 0.71/0.99 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_26405_n027.cluster.edu".
% 0.71/0.99 ============================== end of head ===========================
% 0.71/0.99
% 0.71/0.99 ============================== INPUT =================================
% 0.71/0.99
% 0.71/0.99 % Reading from file /tmp/Prover9_26405_n027.cluster.edu
% 0.71/0.99
% 0.71/0.99 set(prolog_style_variables).
% 0.71/0.99 set(auto2).
% 0.71/0.99 % set(auto2) -> set(auto).
% 0.71/0.99 % set(auto) -> set(auto_inference).
% 0.71/0.99 % set(auto) -> set(auto_setup).
% 0.71/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.71/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.71/0.99 % set(auto) -> set(auto_limits).
% 0.71/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.71/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.71/0.99 % set(auto) -> set(auto_denials).
% 0.71/0.99 % set(auto) -> set(auto_process).
% 0.71/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.71/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.71/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.71/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.71/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.71/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.71/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.71/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.71/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.71/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.71/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.71/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.71/0.99 % set(auto2) -> assign(stats, some).
% 0.71/0.99 % set(auto2) -> clear(echo_input).
% 0.71/0.99 % set(auto2) -> set(quiet).
% 0.71/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.71/0.99 % set(auto2) -> clear(print_given).
% 0.71/0.99 assign(lrs_ticks,-1).
% 0.71/0.99 assign(sos_limit,10000).
% 0.71/0.99 assign(order,kbo).
% 0.71/0.99 set(lex_order_vars).
% 0.71/0.99 clear(print_given).
% 0.71/0.99
% 0.71/0.99 % formulas(sos). % not echoed (7 formulas)
% 0.71/0.99
% 0.71/0.99 ============================== end of input ==========================
% 0.71/0.99
% 0.71/0.99 % From the command line: assign(max_seconds, 300).
% 0.71/0.99
% 0.71/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.71/0.99
% 0.71/0.99 % Formulas that are not ordinary clauses:
% 0.71/0.99 1 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.99 2 (all A all B unordered_pair(A,B) = unordered_pair(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.99 3 (all A all B (B = singleton(A) <-> (all C (in(C,B) <-> C = A)))) # label(d1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.99 4 (all A all B all C (set_difference(unordered_pair(A,B),C) = singleton(A) <-> -in(A,C) & (in(B,C) | A = B))) # label(l39_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.99 5 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.99 6 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.99 7 -(all A all B (A != B -> set_difference(unordered_pair(A,B),singleton(B)) = singleton(A))) # label(t23_zfmisc_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.71/0.99
% 0.71/0.99 ============================== end of process non-clausal formulas ===
% 0.71/0.99
% 0.71/0.99 ============================== PROCESS INITIAL CLAUSES ===============
% 0.71/0.99
% 0.71/0.99 ============================== PREDICATE ELIMINATION =================
% 0.71/0.99
% 0.71/0.99 ============================== end predicate elimination =============
% 0.71/0.99
% 0.71/0.99 Auto_denials: (non-Horn, no changes).
% 0.71/0.99
% 0.71/0.99 Term ordering decisions:
% 0.71/0.99
% 0.71/0.99 % Assigning unary symbol singleton kb_weight 0 and highest precedence (11).
% 0.71/0.99 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. unordered_pair=1. set_difference=1. f1=1. singleton=0.
% 0.71/0.99
% 0.71/0.99 ============================== end of process initial clauses ========
% 0.71/0.99
% 0.71/0.99 ============================== CLAUSES FOR SEARCH ====================
% 0.71/0.99
% 0.71/0.99 ============================== end of clauses for search =============
% 0.71/0.99
% 0.71/0.99 ============================== SEARCH ================================
% 0.71/0.99
% 0.71/0.99 % Starting search at 0.01 seconds.
% 0.71/0.99
% 0.71/0.99 ============================== PROOF =================================
% 0.71/0.99 % SZS status Theorem
% 0.71/0.99 % SZS output start Refutation
% 0.71/0.99
% 0.71/0.99 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.71/0.99 % Length of proof is 11.
% 0.71/0.99 % Level of proof is 4.
% 0.71/0.99 % Maximum clause weight is 14.000.
% 0.71/0.99 % Given clauses 20.
% 0.71/0.99
% 0.71/0.99 3 (all A all B (B = singleton(A) <-> (all C (in(C,B) <-> C = A)))) # label(d1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.99 4 (all A all B all C (set_difference(unordered_pair(A,B),C) = singleton(A) <-> -in(A,C) & (in(B,C) | A = B))) # label(l39_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/0.99 7 -(all A all B (A != B -> set_difference(unordered_pair(A,B),singleton(B)) = singleton(A))) # label(t23_zfmisc_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.71/0.99 12 c4 != c3 # label(t23_zfmisc_1) # label(negated_conjecture). [clausify(7)].
% 0.71/0.99 14 set_difference(unordered_pair(c3,c4),singleton(c4)) != singleton(c3) # label(t23_zfmisc_1) # label(negated_conjecture). [clausify(7)].
% 0.71/0.99 16 singleton(A) != B | -in(C,B) | C = A # label(d1_tarski) # label(axiom). [clausify(3)].
% 0.71/0.99 17 singleton(A) != B | in(C,B) | C != A # label(d1_tarski) # label(axiom). [clausify(3)].
% 0.71/0.99 20 set_difference(unordered_pair(A,B),C) = singleton(A) | in(A,C) | -in(B,C) # label(l39_zfmisc_1) # label(axiom). [clausify(4)].
% 0.71/0.99 30 -in(c3,singleton(c4)). [ur(16,a,xx,c,12,a(flip))].
% 0.71/0.99 46 -in(c4,singleton(c4)). [ur(20,a,14,a,b,30,a)].
% 0.71/0.99 54 $F. [ur(17,b,46,a,c,xx),xx(a)].
% 0.71/0.99
% 0.71/0.99 % SZS output end Refutation
% 0.71/0.99 ============================== end of proof ==========================
% 0.71/0.99
% 0.71/0.99 ============================== STATISTICS ============================
% 0.71/0.99
% 0.71/0.99 Given=20. Generated=64. Kept=46. proofs=1.
% 0.71/0.99 Usable=20. Sos=21. Demods=1. Limbo=1, Disabled=18. Hints=0.
% 0.71/0.99 Megabytes=0.08.
% 0.71/0.99 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.71/0.99
% 0.71/0.99 ============================== end of statistics =====================
% 0.71/0.99
% 0.71/0.99 ============================== end of search =========================
% 0.71/0.99
% 0.71/0.99 THEOREM PROVED
% 0.71/0.99 % SZS status Theorem
% 0.71/0.99
% 0.71/0.99 Exiting with 1 proof.
% 0.71/0.99
% 0.71/0.99 Process 26558 exit (max_proofs) Mon Jul 11 09:06:04 2022
% 0.71/0.99 Prover9 interrupted
%------------------------------------------------------------------------------