TSTP Solution File: SET047-5 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET047-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.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 04:26:23 EDT 2022
% Result : Unsatisfiable 0.73s 1.00s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET047-5 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 00:53:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.00 ============================== Prover9 ===============================
% 0.73/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.73/1.00 Process 25867 was started by sandbox on n026.cluster.edu,
% 0.73/1.00 Sun Jul 10 00:53:26 2022
% 0.73/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_25511_n026.cluster.edu".
% 0.73/1.00 ============================== end of head ===========================
% 0.73/1.00
% 0.73/1.00 ============================== INPUT =================================
% 0.73/1.00
% 0.73/1.00 % Reading from file /tmp/Prover9_25511_n026.cluster.edu
% 0.73/1.00
% 0.73/1.00 set(prolog_style_variables).
% 0.73/1.00 set(auto2).
% 0.73/1.00 % set(auto2) -> set(auto).
% 0.73/1.00 % set(auto) -> set(auto_inference).
% 0.73/1.00 % set(auto) -> set(auto_setup).
% 0.73/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.73/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.73/1.00 % set(auto) -> set(auto_limits).
% 0.73/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.73/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.73/1.00 % set(auto) -> set(auto_denials).
% 0.73/1.00 % set(auto) -> set(auto_process).
% 0.73/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.73/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.73/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.73/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.73/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.73/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.73/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.73/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.73/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.73/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.73/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.73/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.73/1.00 % set(auto2) -> assign(stats, some).
% 0.73/1.00 % set(auto2) -> clear(echo_input).
% 0.73/1.00 % set(auto2) -> set(quiet).
% 0.73/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.73/1.00 % set(auto2) -> clear(print_given).
% 0.73/1.00 assign(lrs_ticks,-1).
% 0.73/1.00 assign(sos_limit,10000).
% 0.73/1.00 assign(order,kbo).
% 0.73/1.00 set(lex_order_vars).
% 0.73/1.00 clear(print_given).
% 0.73/1.00
% 0.73/1.00 % formulas(sos). % not echoed (6 formulas)
% 0.73/1.00
% 0.73/1.00 ============================== end of input ==========================
% 0.73/1.00
% 0.73/1.00 % From the command line: assign(max_seconds, 300).
% 0.73/1.00
% 0.73/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.73/1.00
% 0.73/1.00 % Formulas that are not ordinary clauses:
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% 0.73/1.00 ============================== end of process non-clausal formulas ===
% 0.73/1.00
% 0.73/1.00 ============================== PROCESS INITIAL CLAUSES ===============
% 0.73/1.00
% 0.73/1.00 ============================== PREDICATE ELIMINATION =================
% 0.73/1.00
% 0.73/1.00 ============================== end predicate elimination =============
% 0.73/1.00
% 0.73/1.00 Auto_denials: (non-Horn, no changes).
% 0.73/1.00
% 0.73/1.00 Term ordering decisions:
% 0.73/1.00 Function symbol KB weights: a=1. b=1. f=1.
% 0.73/1.00
% 0.73/1.00 ============================== end of process initial clauses ========
% 0.73/1.00
% 0.73/1.00 ============================== CLAUSES FOR SEARCH ====================
% 0.73/1.00
% 0.73/1.00 ============================== end of clauses for search =============
% 0.73/1.00
% 0.73/1.00 ============================== SEARCH ================================
% 0.73/1.00
% 0.73/1.00 % Starting search at 0.01 seconds.
% 0.73/1.00
% 0.73/1.00 ============================== PROOF =================================
% 0.73/1.00 % SZS status Unsatisfiable
% 0.73/1.00 % SZS output start Refutation
% 0.73/1.00
% 0.73/1.00 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.73/1.00 % Length of proof is 36.
% 0.73/1.00 % Level of proof is 21.
% 0.73/1.00 % Maximum clause weight is 30.000.
% 0.73/1.00 % Given clauses 33.
% 0.73/1.00
% 0.73/1.00 1 set_equal(a,b) | set_equal(b,a) # label(prove_symmetry1) # label(negated_conjecture). [assumption].
% 0.73/1.00 2 element(f(A,B),A) | element(f(A,B),B) | set_equal(A,B) # label(clause_3) # label(axiom). [assumption].
% 0.73/1.00 3 -set_equal(b,a) | -set_equal(a,b) # label(prove_symmetry2) # label(negated_conjecture). [assumption].
% 0.73/1.00 4 -set_equal(A,B) | -element(C,A) | element(C,B) # label(element_substitution1) # label(axiom). [assumption].
% 0.73/1.00 5 -set_equal(A,B) | -element(C,B) | element(C,A) # label(element_substitution2) # label(axiom). [assumption].
% 0.73/1.00 6 -element(f(A,B),B) | -element(f(A,B),A) | set_equal(A,B) # label(clause_4) # label(axiom). [assumption].
% 0.73/1.00 9 -set_equal(a,b) | element(f(b,a),b) | element(f(b,a),a). [resolve(3,a,2,c)].
% 0.73/1.00 10 -element(A,B) | element(A,C) | element(f(B,C),B) | element(f(B,C),C). [resolve(4,a,2,c)].
% 0.73/1.00 11 -element(A,b) | element(A,a) | set_equal(a,b). [resolve(4,a,1,b)].
% 0.73/1.00 12 -element(A,B) | element(A,C) | element(f(C,B),C) | element(f(C,B),B). [resolve(5,a,2,c)].
% 0.73/1.00 13 -element(A,a) | element(A,b) | set_equal(a,b). [resolve(5,a,1,b)].
% 0.73/1.00 14 element(f(b,a),b) | element(f(b,a),a) | element(f(a,b),a) | element(f(a,b),b). [resolve(9,a,2,c)].
% 0.73/1.00 15 element(f(b,a),a) | element(f(a,b),a) | element(f(a,b),b) | element(f(b,a),A) | element(f(A,b),A) | element(f(A,b),b). [resolve(14,a,12,a)].
% 0.73/1.00 16 element(f(b,a),a) | element(f(a,b),a) | element(f(a,b),b). [factor(15,a,d),merge(d),merge(e)].
% 0.73/1.00 18 element(f(a,b),a) | element(f(a,b),b) | element(f(b,a),A) | element(f(a,A),a) | element(f(a,A),A). [resolve(16,a,10,a)].
% 0.73/1.00 19 element(f(a,b),a) | element(f(a,b),b) | -element(f(b,a),b) | set_equal(b,a). [resolve(16,a,6,a)].
% 0.73/1.00 20 element(f(a,b),a) | element(f(a,b),b) | element(f(b,a),b). [factor(18,a,d),merge(d)].
% 0.73/1.00 24 element(f(a,b),a) | element(f(a,b),b) | set_equal(b,a). [resolve(19,c,20,c),merge(d),merge(e)].
% 0.73/1.00 25 element(f(a,b),a) | element(f(a,b),b) | -set_equal(a,b). [resolve(24,c,3,a)].
% 0.73/1.00 44 element(f(a,b),a) | element(f(a,b),b). [resolve(25,c,2,c),merge(c),merge(d)].
% 0.73/1.00 46 element(f(a,b),a) | set_equal(a,b). [resolve(44,b,11,a),merge(b)].
% 0.73/1.00 48 element(f(a,b),a) | -element(A,b) | element(A,a). [resolve(46,b,5,a)].
% 0.73/1.00 50 element(f(a,b),a) | -element(f(a,b),b). [factor(48,a,c)].
% 0.73/1.00 51 element(f(a,b),a). [resolve(50,b,44,b),merge(b)].
% 0.73/1.00 52 element(f(a,b),b) | set_equal(a,b). [resolve(51,a,13,a)].
% 0.73/1.00 55 -element(f(a,b),b) | set_equal(a,b). [resolve(51,a,6,b)].
% 0.73/1.00 57 element(f(a,b),b) | -element(A,a) | element(A,b). [resolve(52,b,4,a)].
% 0.73/1.00 58 element(f(a,b),b). [factor(57,a,c),unit_del(b,51)].
% 0.73/1.00 59 set_equal(a,b). [back_unit_del(55),unit_del(a,58)].
% 0.73/1.00 60 element(f(b,a),b) | element(f(b,a),a). [back_unit_del(9),unit_del(a,59)].
% 0.73/1.00 61 -set_equal(b,a). [back_unit_del(3),unit_del(b,59)].
% 0.73/1.00 62 -element(A,b) | element(A,a). [resolve(59,a,5,a)].
% 0.73/1.00 63 -element(A,a) | element(A,b). [resolve(59,a,4,a)].
% 0.73/1.00 73 element(f(b,a),a). [resolve(60,a,62,a),merge(b)].
% 0.73/1.00 74 element(f(b,a),b). [resolve(73,a,63,a)].
% 0.73/1.00 77 $F. [resolve(73,a,6,a),unit_del(a,74),unit_del(b,61)].
% 0.73/1.00
% 0.73/1.00 % SZS output end Refutation
% 0.73/1.00 ============================== end of proof ==========================
% 0.73/1.00
% 0.73/1.00 ============================== STATISTICS ============================
% 0.73/1.00
% 0.73/1.00 Given=33. Generated=289. Kept=76. proofs=1.
% 0.73/1.00 Usable=16. Sos=10. Demods=0. Limbo=3, Disabled=53. Hints=0.
% 0.73/1.00 Megabytes=0.07.
% 0.73/1.00 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.73/1.00
% 0.73/1.00 ============================== end of statistics =====================
% 0.73/1.00
% 0.73/1.00 ============================== end of search =========================
% 0.73/1.00
% 0.73/1.00 THEOREM PROVED
% 0.73/1.00 % SZS status Unsatisfiable
% 0.73/1.00
% 0.73/1.00 Exiting with 1 proof.
% 0.73/1.00
% 0.73/1.00 Process 25867 exit (max_proofs) Sun Jul 10 00:53:26 2022
% 0.73/1.00 Prover9 interrupted
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