TSTP Solution File: SEU121+2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SEU121+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 13:29:07 EDT 2022
% Result : Theorem 0.56s 0.85s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SEU121+2 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.09 % Command : tptp2X_and_run_prover9 %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Sun Jun 19 11:43:33 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.52/0.83 ============================== Prover9 ===============================
% 0.52/0.83 Prover9 (32) version 2009-11A, November 2009.
% 0.52/0.83 Process 18844 was started by sandbox on n032.cluster.edu,
% 0.52/0.83 Sun Jun 19 11:43:33 2022
% 0.52/0.83 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18462_n032.cluster.edu".
% 0.52/0.83 ============================== end of head ===========================
% 0.52/0.83
% 0.52/0.83 ============================== INPUT =================================
% 0.52/0.83
% 0.52/0.83 % Reading from file /tmp/Prover9_18462_n032.cluster.edu
% 0.52/0.83
% 0.52/0.83 set(prolog_style_variables).
% 0.52/0.83 set(auto2).
% 0.52/0.83 % set(auto2) -> set(auto).
% 0.52/0.83 % set(auto) -> set(auto_inference).
% 0.52/0.83 % set(auto) -> set(auto_setup).
% 0.52/0.83 % set(auto_setup) -> set(predicate_elim).
% 0.52/0.83 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.52/0.83 % set(auto) -> set(auto_limits).
% 0.52/0.83 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.52/0.83 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.52/0.83 % set(auto) -> set(auto_denials).
% 0.52/0.83 % set(auto) -> set(auto_process).
% 0.52/0.83 % set(auto2) -> assign(new_constants, 1).
% 0.52/0.83 % set(auto2) -> assign(fold_denial_max, 3).
% 0.52/0.83 % set(auto2) -> assign(max_weight, "200.000").
% 0.52/0.83 % set(auto2) -> assign(max_hours, 1).
% 0.52/0.83 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.52/0.83 % set(auto2) -> assign(max_seconds, 0).
% 0.52/0.83 % set(auto2) -> assign(max_minutes, 5).
% 0.52/0.83 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.52/0.83 % set(auto2) -> set(sort_initial_sos).
% 0.52/0.83 % set(auto2) -> assign(sos_limit, -1).
% 0.52/0.83 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.52/0.83 % set(auto2) -> assign(max_megs, 400).
% 0.52/0.83 % set(auto2) -> assign(stats, some).
% 0.52/0.83 % set(auto2) -> clear(echo_input).
% 0.52/0.83 % set(auto2) -> set(quiet).
% 0.52/0.83 % set(auto2) -> clear(print_initial_clauses).
% 0.52/0.83 % set(auto2) -> clear(print_given).
% 0.52/0.83 assign(lrs_ticks,-1).
% 0.52/0.83 assign(sos_limit,10000).
% 0.52/0.83 assign(order,kbo).
% 0.52/0.83 set(lex_order_vars).
% 0.52/0.83 clear(print_given).
% 0.52/0.83
% 0.52/0.83 % formulas(sos). % not echoed (20 formulas)
% 0.52/0.83
% 0.52/0.83 ============================== end of input ==========================
% 0.52/0.83
% 0.52/0.83 % From the command line: assign(max_seconds, 300).
% 0.52/0.83
% 0.52/0.83 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.52/0.83
% 0.52/0.83 % Formulas that are not ordinary clauses:
% 0.52/0.83 1 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.52/0.83 2 (all A all B set_intersection2(A,B) = set_intersection2(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.52/0.83 3 (all A (A = empty_set <-> (all B -in(B,A)))) # label(d1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.52/0.83 4 (all A all B (subset(A,B) <-> (all C (in(C,A) -> in(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.52/0.83 5 (all A all B all C (C = set_intersection2(A,B) <-> (all D (in(D,C) <-> in(D,A) & in(D,B))))) # label(d3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.52/0.83 6 (all A all B (disjoint(A,B) <-> set_intersection2(A,B) = empty_set)) # label(d7_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.52/0.83 7 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.52/0.83 8 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.52/0.84 9 (all A all B set_intersection2(A,A) = A) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.52/0.84 10 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.52/0.84 11 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.52/0.84 12 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.52/0.84 13 (all A all B (disjoint(A,B) -> disjoint(B,A))) # label(symmetry_r1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.52/0.84 14 (all A all B (-(-disjoint(A,B) & (all C -(in(C,A) & in(C,B)))) & -((exists C (in(C,A) & in(C,B))) & disjoint(A,B)))) # label(t3_xboole_0) # label(lemma) # label(non_clause). [assumption].
% 0.52/0.84 15 (all A all B (-(-disjoint(A,B) & (all C -in(C,set_intersection2(A,B)))) & -((exists C in(C,set_intersection2(A,B))) & disjoint(A,B)))) # label(t4_xboole_0) # label(lemma) # label(non_clause). [assumption].
% 0.52/0.84 16 (all A (empty(A) -> A = empty_set)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.56/0.85 17 (all A all B -(in(A,B) & empty(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.56/0.85 18 (all A all B -(empty(A) & A != B & empty(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.56/0.85 19 -(all A all B all C (subset(A,B) & subset(B,C) -> subset(A,C))) # label(t1_xboole_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.56/0.85
% 0.56/0.85 ============================== end of process non-clausal formulas ===
% 0.56/0.85
% 0.56/0.85 ============================== PROCESS INITIAL CLAUSES ===============
% 0.56/0.85
% 0.56/0.85 ============================== PREDICATE ELIMINATION =================
% 0.56/0.85
% 0.56/0.85 ============================== end predicate elimination =============
% 0.56/0.85
% 0.56/0.85 Auto_denials: (non-Horn, no changes).
% 0.56/0.85
% 0.56/0.85 Term ordering decisions:
% 0.56/0.85
% 0.56/0.85 % Assigning unary symbol f1 kb_weight 0 and highest precedence (17).
% 0.56/0.85 Function symbol KB weights: empty_set=1. c1=1. c2=1. c3=1. c4=1. c5=1. set_intersection2=1. f2=1. f4=1. f5=1. f3=1. f1=0.
% 0.56/0.85
% 0.56/0.85 ============================== end of process initial clauses ========
% 0.56/0.85
% 0.56/0.85 ============================== CLAUSES FOR SEARCH ====================
% 0.56/0.85
% 0.56/0.85 ============================== end of clauses for search =============
% 0.56/0.85
% 0.56/0.85 ============================== SEARCH ================================
% 0.56/0.85
% 0.56/0.85 % Starting search at 0.01 seconds.
% 0.56/0.85
% 0.56/0.85 ============================== PROOF =================================
% 0.56/0.85 % SZS status Theorem
% 0.56/0.85 % SZS output start Refutation
% 0.56/0.85
% 0.56/0.85 % Proof 1 at 0.03 (+ 0.00) seconds.
% 0.56/0.85 % Length of proof is 13.
% 0.56/0.85 % Level of proof is 4.
% 0.56/0.85 % Maximum clause weight is 9.000.
% 0.56/0.85 % Given clauses 66.
% 0.56/0.85
% 0.56/0.85 4 (all A all B (subset(A,B) <-> (all C (in(C,A) -> in(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.56/0.85 19 -(all A all B all C (subset(A,B) & subset(B,C) -> subset(A,C))) # label(t1_xboole_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.56/0.85 23 subset(c3,c4) # label(t1_xboole_1) # label(negated_conjecture). [clausify(19)].
% 0.56/0.85 24 subset(c4,c5) # label(t1_xboole_1) # label(negated_conjecture). [clausify(19)].
% 0.56/0.85 28 subset(A,B) | in(f2(A,B),A) # label(d3_tarski) # label(axiom). [clausify(4)].
% 0.56/0.85 35 -subset(c3,c5) # label(t1_xboole_1) # label(negated_conjecture). [clausify(19)].
% 0.56/0.85 44 subset(A,B) | -in(f2(A,B),B) # label(d3_tarski) # label(axiom). [clausify(4)].
% 0.56/0.85 47 -subset(A,B) | -in(C,A) | in(C,B) # label(d3_tarski) # label(axiom). [clausify(4)].
% 0.56/0.85 60 in(f2(c3,c5),c3). [resolve(35,a,28,a)].
% 0.56/0.85 88 -in(f2(c3,c5),c5). [ur(44,a,35,a)].
% 0.56/0.85 96 -in(A,c3) | in(A,c4). [resolve(47,a,23,a)].
% 0.56/0.85 214 -in(f2(c3,c5),c4). [ur(47,a,24,a,c,88,a)].
% 0.56/0.85 239 $F. [resolve(96,a,60,a),unit_del(a,214)].
% 0.56/0.85
% 0.56/0.85 % SZS output end Refutation
% 0.56/0.85 ============================== end of proof ==========================
% 0.56/0.85
% 0.56/0.85 ============================== STATISTICS ============================
% 0.56/0.85
% 0.56/0.85 Given=66. Generated=590. Kept=219. proofs=1.
% 0.56/0.85 Usable=62. Sos=149. Demods=4. Limbo=3, Disabled=37. Hints=0.
% 0.56/0.85 Megabytes=0.20.
% 0.56/0.85 User_CPU=0.03, System_CPU=0.00, Wall_clock=0.
% 0.56/0.85
% 0.56/0.85 ============================== end of statistics =====================
% 0.56/0.85
% 0.56/0.85 ============================== end of search =========================
% 0.56/0.85
% 0.56/0.85 THEOREM PROVED
% 0.56/0.85 % SZS status Theorem
% 0.56/0.85
% 0.56/0.85 Exiting with 1 proof.
% 0.56/0.85
% 0.56/0.85 Process 18844 exit (max_proofs) Sun Jun 19 11:43:33 2022
% 0.56/0.85 Prover9 interrupted
%------------------------------------------------------------------------------