TSTP Solution File: SEU121+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SEU121+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.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 13:29:06 EDT 2022
% Result : Theorem 0.44s 1.01s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU121+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 07:00:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.01 ============================== Prover9 ===============================
% 0.44/1.01 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.01 Process 7340 was started by sandbox on n008.cluster.edu,
% 0.44/1.01 Mon Jun 20 07:00:23 2022
% 0.44/1.01 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_6983_n008.cluster.edu".
% 0.44/1.01 ============================== end of head ===========================
% 0.44/1.01
% 0.44/1.01 ============================== INPUT =================================
% 0.44/1.01
% 0.44/1.01 % Reading from file /tmp/Prover9_6983_n008.cluster.edu
% 0.44/1.01
% 0.44/1.01 set(prolog_style_variables).
% 0.44/1.01 set(auto2).
% 0.44/1.01 % set(auto2) -> set(auto).
% 0.44/1.01 % set(auto) -> set(auto_inference).
% 0.44/1.01 % set(auto) -> set(auto_setup).
% 0.44/1.01 % set(auto_setup) -> set(predicate_elim).
% 0.44/1.01 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.01 % set(auto) -> set(auto_limits).
% 0.44/1.01 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.01 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.01 % set(auto) -> set(auto_denials).
% 0.44/1.01 % set(auto) -> set(auto_process).
% 0.44/1.01 % set(auto2) -> assign(new_constants, 1).
% 0.44/1.01 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.01 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.01 % set(auto2) -> assign(max_hours, 1).
% 0.44/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.01 % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.01 % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.01 % set(auto2) -> set(sort_initial_sos).
% 0.44/1.01 % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.01 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.01 % set(auto2) -> assign(max_megs, 400).
% 0.44/1.01 % set(auto2) -> assign(stats, some).
% 0.44/1.01 % set(auto2) -> clear(echo_input).
% 0.44/1.01 % set(auto2) -> set(quiet).
% 0.44/1.01 % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.01 % set(auto2) -> clear(print_given).
% 0.44/1.01 assign(lrs_ticks,-1).
% 0.44/1.01 assign(sos_limit,10000).
% 0.44/1.01 assign(order,kbo).
% 0.44/1.01 set(lex_order_vars).
% 0.44/1.01 clear(print_given).
% 0.44/1.01
% 0.44/1.01 % formulas(sos). % not echoed (11 formulas)
% 0.44/1.01
% 0.44/1.01 ============================== end of input ==========================
% 0.44/1.01
% 0.44/1.01 % From the command line: assign(max_seconds, 300).
% 0.44/1.01
% 0.44/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.01
% 0.44/1.01 % Formulas that are not ordinary clauses:
% 0.44/1.01 1 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.01 2 (all A all B (subset(A,B) <-> (all C (in(C,A) -> in(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.01 3 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.01 4 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.01 5 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.01 6 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.01 7 (all A (empty(A) -> A = empty_set)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.01 8 (all A all B -(in(A,B) & empty(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.01 9 (all A all B -(empty(A) & A != B & empty(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.01 10 -(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].
% 0.44/1.01
% 0.44/1.01 ============================== end of process non-clausal formulas ===
% 0.44/1.01
% 0.44/1.01 ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.01
% 0.44/1.01 ============================== PREDICATE ELIMINATION =================
% 0.44/1.01
% 0.44/1.01 ============================== end predicate elimination =============
% 0.44/1.01
% 0.44/1.01 Auto_denials: (non-Horn, no changes).
% 0.44/1.01
% 0.44/1.01 Term ordering decisions:
% 0.44/1.01 Function symbol KB weights: empty_set=1. c1=1. c2=1. c3=1. c4=1. c5=1. f1=1.
% 0.44/1.01
% 0.44/1.01 ============================== end of process initial clauses ========
% 0.44/1.01
% 0.44/1.01 ============================== CLAUSES FOR SEARCH ====================
% 0.44/1.01
% 0.44/1.01 ============================== end of clauses for search =============
% 0.44/1.01
% 0.44/1.01 ============================== SEARCH ================================
% 0.44/1.01
% 0.44/1.01 % Starting search at 0.01 seconds.
% 0.44/1.01
% 0.44/1.01 ============================== PROOF =================================
% 0.44/1.01 % SZS status Theorem
% 0.44/1.01 % SZS output start Refutation
% 0.44/1.01
% 0.44/1.01 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.44/1.01 % Length of proof is 13.
% 0.44/1.01 % Level of proof is 4.
% 0.44/1.01 % Maximum clause weight is 11.000.
% 0.44/1.01 % Given clauses 34.
% 0.44/1.01
% 0.44/1.01 2 (all A all B (subset(A,B) <-> (all C (in(C,A) -> in(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.01 10 -(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].
% 0.44/1.01 14 subset(c3,c4) # label(t1_xboole_1) # label(negated_conjecture). [clausify(10)].
% 0.44/1.01 15 subset(c4,c5) # label(t1_xboole_1) # label(negated_conjecture). [clausify(10)].
% 0.44/1.01 16 subset(A,B) | in(f1(A,B),A) # label(d3_tarski) # label(axiom). [clausify(2)].
% 0.44/1.01 18 -subset(c3,c5) # label(t1_xboole_1) # label(negated_conjecture). [clausify(10)].
% 0.44/1.01 23 subset(A,B) | -in(f1(A,B),B) # label(d3_tarski) # label(axiom). [clausify(2)].
% 0.44/1.01 24 -subset(A,B) | -in(C,A) | in(C,B) # label(d3_tarski) # label(axiom). [clausify(2)].
% 0.44/1.01 31 -in(f1(c3,c5),c5). [ur(23,a,18,a)].
% 0.44/1.01 32 -subset(A,B) | in(f1(A,C),B) | subset(A,C). [resolve(24,b,16,b)].
% 0.44/1.01 40 in(f1(c3,A),c4) | subset(c3,A). [resolve(32,a,14,a)].
% 0.44/1.01 43 -in(f1(c3,c5),c4). [ur(24,a,15,a,c,31,a)].
% 0.44/1.01 56 $F. [resolve(43,a,40,a),unit_del(a,18)].
% 0.44/1.01
% 0.44/1.01 % SZS output end Refutation
% 0.44/1.01 ============================== end of proof ==========================
% 0.44/1.01
% 0.44/1.01 ============================== STATISTICS ============================
% 0.44/1.01
% 0.44/1.01 Given=34. Generated=84. Kept=45. proofs=1.
% 0.44/1.01 Usable=32. Sos=10. Demods=1. Limbo=0, Disabled=17. Hints=0.
% 0.44/1.01 Megabytes=0.06.
% 0.44/1.01 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.44/1.01
% 0.44/1.01 ============================== end of statistics =====================
% 0.44/1.01
% 0.44/1.01 ============================== end of search =========================
% 0.44/1.01
% 0.44/1.01 THEOREM PROVED
% 0.44/1.01 % SZS status Theorem
% 0.44/1.01
% 0.44/1.01 Exiting with 1 proof.
% 0.44/1.01
% 0.44/1.01 Process 7340 exit (max_proofs) Mon Jun 20 07:00:23 2022
% 0.44/1.01 Prover9 interrupted
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