TSTP Solution File: SWW469+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWW469+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n021.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 : Thu Jul 21 01:17:04 EDT 2022
% Result : Theorem 0.74s 1.00s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW469+1 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 4 12:07:03 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.74/1.00 ============================== Prover9 ===============================
% 0.74/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.74/1.00 Process 31084 was started by sandbox on n021.cluster.edu,
% 0.74/1.00 Sat Jun 4 12:07:04 2022
% 0.74/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_30931_n021.cluster.edu".
% 0.74/1.00 ============================== end of head ===========================
% 0.74/1.00
% 0.74/1.00 ============================== INPUT =================================
% 0.74/1.00
% 0.74/1.00 % Reading from file /tmp/Prover9_30931_n021.cluster.edu
% 0.74/1.00
% 0.74/1.00 set(prolog_style_variables).
% 0.74/1.00 set(auto2).
% 0.74/1.00 % set(auto2) -> set(auto).
% 0.74/1.00 % set(auto) -> set(auto_inference).
% 0.74/1.00 % set(auto) -> set(auto_setup).
% 0.74/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.74/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.74/1.00 % set(auto) -> set(auto_limits).
% 0.74/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.74/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.74/1.00 % set(auto) -> set(auto_denials).
% 0.74/1.00 % set(auto) -> set(auto_process).
% 0.74/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.74/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.74/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.74/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.74/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.74/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.74/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.74/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.74/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.74/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.74/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.74/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.74/1.00 % set(auto2) -> assign(stats, some).
% 0.74/1.00 % set(auto2) -> clear(echo_input).
% 0.74/1.00 % set(auto2) -> set(quiet).
% 0.74/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.74/1.00 % set(auto2) -> clear(print_given).
% 0.74/1.00 assign(lrs_ticks,-1).
% 0.74/1.00 assign(sos_limit,10000).
% 0.74/1.00 assign(order,kbo).
% 0.74/1.00 set(lex_order_vars).
% 0.74/1.00 clear(print_given).
% 0.74/1.00
% 0.74/1.00 % formulas(sos). % not echoed (7 formulas)
% 0.74/1.00
% 0.74/1.00 ============================== end of input ==========================
% 0.74/1.00
% 0.74/1.00 % From the command line: assign(max_seconds, 300).
% 0.74/1.00
% 0.74/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.74/1.00
% 0.74/1.00 % Formulas that are not ordinary clauses:
% 0.74/1.00 1 hoare_165779456gleton <-> (exists S exists T (is_state(S) & is_state(T) & S != T)) # label(fact_0_state__not__singleton__def) # label(axiom) # label(non_clause). [assumption].
% 0.74/1.00 2 -(all T (is_state(T) -> -(all S (is_state(S) -> S = T)))) # label(conj_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.74/1.00
% 0.74/1.00 ============================== end of process non-clausal formulas ===
% 0.74/1.00
% 0.74/1.00 ============================== PROCESS INITIAL CLAUSES ===============
% 0.74/1.00
% 0.74/1.00 ============================== PREDICATE ELIMINATION =================
% 0.74/1.00
% 0.74/1.00 ============================== end predicate elimination =============
% 0.74/1.00
% 0.74/1.00 Auto_denials: (non-Horn, no changes).
% 0.74/1.00
% 0.74/1.00 Term ordering decisions:
% 0.74/1.00
% 0.74/1.00 % Assigning unary symbol undefined_state kb_weight 0 and highest precedence (10).
% 0.74/1.00 Function symbol KB weights: state=1. c1=1. c2=1. c3=1. undefined_state=0.
% 0.74/1.00
% 0.74/1.00 ============================== end of process initial clauses ========
% 0.74/1.00
% 0.74/1.00 ============================== CLAUSES FOR SEARCH ====================
% 0.74/1.00
% 0.74/1.00 ============================== end of clauses for search =============
% 0.74/1.00
% 0.74/1.00 ============================== SEARCH ================================
% 0.74/1.00
% 0.74/1.00 % Starting search at 0.01 seconds.
% 0.74/1.00
% 0.74/1.00 ============================== PROOF =================================
% 0.74/1.00 % SZS status Theorem
% 0.74/1.00 % SZS output start Refutation
% 0.74/1.00
% 0.74/1.00 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.74/1.00 % Length of proof is 12.
% 0.74/1.00 % Level of proof is 4.
% 0.74/1.00 % Maximum clause weight is 5.000.
% 0.74/1.00 % Given clauses 9.
% 0.74/1.00
% 0.74/1.00 1 hoare_165779456gleton <-> (exists S exists T (is_state(S) & is_state(T) & S != T)) # label(fact_0_state__not__singleton__def) # label(axiom) # label(non_clause). [assumption].
% 0.74/1.00 2 -(all T (is_state(T) -> -(all S (is_state(S) -> S = T)))) # label(conj_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.74/1.00 4 hoare_165779456gleton # label(conj_0) # label(hypothesis). [assumption].
% 0.74/1.00 8 -hoare_165779456gleton | c2 != c1 # label(fact_0_state__not__singleton__def) # label(axiom). [clausify(1)].
% 0.74/1.00 9 c2 != c1. [copy(8),unit_del(a,4)].
% 0.74/1.00 10 -hoare_165779456gleton | is_state(c1) # label(fact_0_state__not__singleton__def) # label(axiom). [clausify(1)].
% 0.74/1.00 11 is_state(c1). [copy(10),unit_del(a,4)].
% 0.74/1.00 12 -hoare_165779456gleton | is_state(c2) # label(fact_0_state__not__singleton__def) # label(axiom). [clausify(1)].
% 0.74/1.00 13 is_state(c2). [copy(12),unit_del(a,4)].
% 0.74/1.00 14 -is_state(A) | c3 = A # label(conj_1) # label(negated_conjecture). [clausify(2)].
% 0.74/1.00 15 c3 = c2. [resolve(14,a,13,a)].
% 0.74/1.00 16 $F. [resolve(14,a,11,a),rewrite([15(1)]),unit_del(a,9)].
% 0.74/1.00
% 0.74/1.00 % SZS output end Refutation
% 0.74/1.00 ============================== end of proof ==========================
% 0.74/1.00
% 0.74/1.00 ============================== STATISTICS ============================
% 0.74/1.00
% 0.74/1.00 Given=9. Generated=13. Kept=10. proofs=1.
% 0.74/1.00 Usable=9. Sos=0. Demods=1. Limbo=1, Disabled=11. Hints=0.
% 0.74/1.00 Megabytes=0.03.
% 0.74/1.00 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.74/1.00
% 0.74/1.00 ============================== end of statistics =====================
% 0.74/1.00
% 0.74/1.00 ============================== end of search =========================
% 0.74/1.00
% 0.74/1.00 THEOREM PROVED
% 0.74/1.00 % SZS status Theorem
% 0.74/1.00
% 0.74/1.00 Exiting with 1 proof.
% 0.74/1.00
% 0.74/1.00 Process 31084 exit (max_proofs) Sat Jun 4 12:07:04 2022
% 0.74/1.00 Prover9 interrupted
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