TSTP Solution File: SET912+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET912+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n013.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 04:33:21 EDT 2022
% Result : Theorem 0.69s 1.00s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET912+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.11 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.32 % Computer : n013.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jul 10 04:58:45 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.69/1.00 ============================== Prover9 ===============================
% 0.69/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.69/1.00 Process 32127 was started by sandbox2 on n013.cluster.edu,
% 0.69/1.00 Sun Jul 10 04:58:45 2022
% 0.69/1.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31746_n013.cluster.edu".
% 0.69/1.00 ============================== end of head ===========================
% 0.69/1.00
% 0.69/1.00 ============================== INPUT =================================
% 0.69/1.00
% 0.69/1.00 % Reading from file /tmp/Prover9_31746_n013.cluster.edu
% 0.69/1.00
% 0.69/1.00 set(prolog_style_variables).
% 0.69/1.00 set(auto2).
% 0.69/1.00 % set(auto2) -> set(auto).
% 0.69/1.00 % set(auto) -> set(auto_inference).
% 0.69/1.00 % set(auto) -> set(auto_setup).
% 0.69/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.69/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.69/1.00 % set(auto) -> set(auto_limits).
% 0.69/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.69/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.69/1.00 % set(auto) -> set(auto_denials).
% 0.69/1.00 % set(auto) -> set(auto_process).
% 0.69/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.69/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.69/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.69/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.69/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.69/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.69/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.69/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.69/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.69/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.69/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.69/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.69/1.00 % set(auto2) -> assign(stats, some).
% 0.69/1.00 % set(auto2) -> clear(echo_input).
% 0.69/1.00 % set(auto2) -> set(quiet).
% 0.69/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.69/1.00 % set(auto2) -> clear(print_given).
% 0.69/1.00 assign(lrs_ticks,-1).
% 0.69/1.00 assign(sos_limit,10000).
% 0.69/1.00 assign(order,kbo).
% 0.69/1.00 set(lex_order_vars).
% 0.69/1.00 clear(print_given).
% 0.69/1.00
% 0.69/1.00 % formulas(sos). % not echoed (10 formulas)
% 0.69/1.00
% 0.69/1.00 ============================== end of input ==========================
% 0.69/1.00
% 0.69/1.00 % From the command line: assign(max_seconds, 300).
% 0.69/1.00
% 0.69/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.69/1.00
% 0.69/1.00 % Formulas that are not ordinary clauses:
% 0.69/1.00 1 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.69/1.00 2 (all A all B unordered_pair(A,B) = unordered_pair(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.69/1.00 3 (all A all B set_intersection2(A,B) = set_intersection2(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.69/1.00 4 (all A all B set_intersection2(A,A) = A) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.69/1.00 5 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.69/1.00 6 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.69/1.00 7 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.69/1.00 8 (all A all B (subset(A,B) -> set_intersection2(A,B) = A)) # label(t28_xboole_1) # label(axiom) # label(non_clause). [assumption].
% 0.69/1.00 9 (all A all B all C (subset(unordered_pair(A,B),C) <-> in(A,C) & in(B,C))) # label(t38_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.69/1.00 10 -(all A all B all C (in(A,B) & in(C,B) -> set_intersection2(unordered_pair(A,C),B) = unordered_pair(A,C))) # label(t53_zfmisc_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.69/1.00
% 0.69/1.00 ============================== end of process non-clausal formulas ===
% 0.69/1.00
% 0.69/1.00 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.69/1.00 ============================== PREDICATE ELIMINATION =================
% 0.69/1.00
% 0.69/1.00 ============================== end predicate elimination =============
% 0.69/1.00
% 0.69/1.00 Auto_denials:
% 0.69/1.00 % copying label rc2_xboole_0 to answer in negative clause
% 0.69/1.00 % copying label antisymmetry_r2_hidden to answer in negative clause
% 0.69/1.00 % copying label t53_zfmisc_1 to answer in negative clause
% 0.69/1.00 % assign(max_proofs, 3). % (Horn set with more than one neg. clause)
% 0.69/1.00
% 0.69/1.00 Term ordering decisions:
% 0.69/1.00 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. unordered_pair=1. set_intersection2=1.
% 0.69/1.00
% 0.69/1.00 ============================== end of process initial clauses ========
% 0.69/1.00
% 0.69/1.00 ============================== CLAUSES FOR SEARCH ====================
% 0.69/1.00
% 0.69/1.00 ============================== end of clauses for search =============
% 0.69/1.00
% 0.69/1.00 ============================== SEARCH ================================
% 0.69/1.00
% 0.69/1.00 % Starting search at 0.01 seconds.
% 0.69/1.00
% 0.69/1.00 ============================== PROOF =================================
% 0.69/1.00 % SZS status Theorem
% 0.69/1.00 % SZS output start Refutation
% 0.69/1.00
% 0.69/1.00 % Proof 1 at 0.01 (+ 0.00) seconds: t53_zfmisc_1.
% 0.69/1.00 % Length of proof is 15.
% 0.69/1.00 % Level of proof is 3.
% 0.69/1.00 % Maximum clause weight is 11.000.
% 0.69/1.00 % Given clauses 21.
% 0.69/1.00
% 0.69/1.00 2 (all A all B unordered_pair(A,B) = unordered_pair(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.69/1.00 3 (all A all B set_intersection2(A,B) = set_intersection2(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.69/1.00 8 (all A all B (subset(A,B) -> set_intersection2(A,B) = A)) # label(t28_xboole_1) # label(axiom) # label(non_clause). [assumption].
% 0.69/1.00 9 (all A all B all C (subset(unordered_pair(A,B),C) <-> in(A,C) & in(B,C))) # label(t38_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.69/1.00 10 -(all A all B all C (in(A,B) & in(C,B) -> set_intersection2(unordered_pair(A,C),B) = unordered_pair(A,C))) # label(t53_zfmisc_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.69/1.00 13 in(c3,c4) # label(t53_zfmisc_1) # label(negated_conjecture). [clausify(10)].
% 0.69/1.00 14 in(c5,c4) # label(t53_zfmisc_1) # label(negated_conjecture). [clausify(10)].
% 0.69/1.00 16 unordered_pair(A,B) = unordered_pair(B,A) # label(commutativity_k2_tarski) # label(axiom). [clausify(2)].
% 0.69/1.00 17 set_intersection2(A,B) = set_intersection2(B,A) # label(commutativity_k3_xboole_0) # label(axiom). [clausify(3)].
% 0.69/1.00 20 set_intersection2(unordered_pair(c3,c5),c4) != unordered_pair(c3,c5) # label(t53_zfmisc_1) # label(negated_conjecture) # answer(t53_zfmisc_1). [clausify(10)].
% 0.69/1.00 21 set_intersection2(c4,unordered_pair(c3,c5)) != unordered_pair(c3,c5) # answer(t53_zfmisc_1). [copy(20),rewrite([17(5)])].
% 0.69/1.00 22 -subset(A,B) | set_intersection2(A,B) = A # label(t28_xboole_1) # label(axiom). [clausify(8)].
% 0.69/1.00 25 subset(unordered_pair(A,B),C) | -in(A,C) | -in(B,C) # label(t38_zfmisc_1) # label(axiom). [clausify(9)].
% 0.69/1.00 30 subset(unordered_pair(c3,c5),c4). [hyper(25,b,14,a,c,13,a),rewrite([16(3)])].
% 0.69/1.00 37 $F # answer(t53_zfmisc_1). [hyper(22,a,30,a),rewrite([17(5)]),unit_del(a,21)].
% 0.69/1.00
% 0.69/1.00 % SZS output end Refutation
% 0.69/1.00 ============================== end of proof ==========================
% 0.69/1.00
% 0.69/1.00 % Disable descendants (x means already disabled):
% 0.69/1.00 20x 21
% 0.69/1.00
% 0.69/1.00 ============================== STATISTICS ============================
% 0.69/1.00
% 0.69/1.00 Given=32. Generated=117. Kept=32. proofs=1.
% 0.69/1.00 Usable=31. Sos=0. Demods=8. Limbo=0, Disabled=15. Hints=0.
% 0.69/1.00 Megabytes=0.06.
% 0.69/1.00 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.69/1.00
% 0.69/1.00 ============================== end of statistics =====================
% 0.69/1.00
% 0.69/1.00 ============================== end of search =========================
% 0.69/1.00
% 0.69/1.00 SEARCH FAILED
% 0.69/1.00
% 0.69/1.00 Exiting with 1 proof.
% 0.69/1.00
% 0.69/1.00 Process 32127 exit (sos_empty) Sun Jul 10 04:58:45 2022
% 0.69/1.00 Prover9 interrupted
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