TSTP Solution File: HEN010-5 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : HEN010-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Sat Jul 16 13:00:58 EDT 2022
% Result : Unsatisfiable 0.88s 1.15s
% Output : Refutation 0.88s
% 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 : HEN010-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n013.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 1 14:11:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.88/1.15 ============================== Prover9 ===============================
% 0.88/1.15 Prover9 (32) version 2009-11A, November 2009.
% 0.88/1.15 Process 2214 was started by sandbox on n013.cluster.edu,
% 0.88/1.15 Fri Jul 1 14:12:00 2022
% 0.88/1.15 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2055_n013.cluster.edu".
% 0.88/1.15 ============================== end of head ===========================
% 0.88/1.15
% 0.88/1.15 ============================== INPUT =================================
% 0.88/1.15
% 0.88/1.15 % Reading from file /tmp/Prover9_2055_n013.cluster.edu
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% 0.88/1.15 set(prolog_style_variables).
% 0.88/1.15 set(auto2).
% 0.88/1.15 % set(auto2) -> set(auto).
% 0.88/1.15 % set(auto) -> set(auto_inference).
% 0.88/1.15 % set(auto) -> set(auto_setup).
% 0.88/1.15 % set(auto_setup) -> set(predicate_elim).
% 0.88/1.15 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.88/1.15 % set(auto) -> set(auto_limits).
% 0.88/1.15 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.88/1.15 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.88/1.15 % set(auto) -> set(auto_denials).
% 0.88/1.15 % set(auto) -> set(auto_process).
% 0.88/1.15 % set(auto2) -> assign(new_constants, 1).
% 0.88/1.15 % set(auto2) -> assign(fold_denial_max, 3).
% 0.88/1.15 % set(auto2) -> assign(max_weight, "200.000").
% 0.88/1.15 % set(auto2) -> assign(max_hours, 1).
% 0.88/1.15 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.88/1.15 % set(auto2) -> assign(max_seconds, 0).
% 0.88/1.15 % set(auto2) -> assign(max_minutes, 5).
% 0.88/1.15 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.88/1.15 % set(auto2) -> set(sort_initial_sos).
% 0.88/1.15 % set(auto2) -> assign(sos_limit, -1).
% 0.88/1.15 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.88/1.15 % set(auto2) -> assign(max_megs, 400).
% 0.88/1.15 % set(auto2) -> assign(stats, some).
% 0.88/1.15 % set(auto2) -> clear(echo_input).
% 0.88/1.15 % set(auto2) -> set(quiet).
% 0.88/1.15 % set(auto2) -> clear(print_initial_clauses).
% 0.88/1.15 % set(auto2) -> clear(print_given).
% 0.88/1.15 assign(lrs_ticks,-1).
% 0.88/1.15 assign(sos_limit,10000).
% 0.88/1.15 assign(order,kbo).
% 0.88/1.15 set(lex_order_vars).
% 0.88/1.15 clear(print_given).
% 0.88/1.15
% 0.88/1.15 % formulas(sos). % not echoed (9 formulas)
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% 0.88/1.15 ============================== end of input ==========================
% 0.88/1.15
% 0.88/1.15 % From the command line: assign(max_seconds, 300).
% 0.88/1.15
% 0.88/1.15 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.88/1.15
% 0.88/1.15 % Formulas that are not ordinary clauses:
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% 0.88/1.15 ============================== end of process non-clausal formulas ===
% 0.88/1.15
% 0.88/1.15 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.88/1.15 ============================== PREDICATE ELIMINATION =================
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% 0.88/1.15 ============================== end predicate elimination =============
% 0.88/1.15
% 0.88/1.15 Auto_denials:
% 0.88/1.15 % copying label prove_this to answer in negative clause
% 0.88/1.15
% 0.88/1.15 Term ordering decisions:
% 0.88/1.15 Function symbol KB weights: zero=1. identity=1. a=1. divide=1.
% 0.88/1.15
% 0.88/1.15 ============================== end of process initial clauses ========
% 0.88/1.15
% 0.88/1.15 ============================== CLAUSES FOR SEARCH ====================
% 0.88/1.15
% 0.88/1.15 ============================== end of clauses for search =============
% 0.88/1.15
% 0.88/1.15 ============================== SEARCH ================================
% 0.88/1.15
% 0.88/1.15 % Starting search at 0.01 seconds.
% 0.88/1.15
% 0.88/1.15 ============================== PROOF =================================
% 0.88/1.15 % SZS status Unsatisfiable
% 0.88/1.15 % SZS output start Refutation
% 0.88/1.15
% 0.88/1.15 % Proof 1 at 0.14 (+ 0.00) seconds: prove_this.
% 0.88/1.15 % Length of proof is 24.
% 0.88/1.15 % Level of proof is 8.
% 0.88/1.15 % Maximum clause weight is 15.000.
% 0.88/1.15 % Given clauses 86.
% 0.88/1.15
% 0.88/1.15 1 divide(zero,A) = zero # label(zero_is_smallest) # label(axiom). [assumption].
% 0.88/1.15 2 divide(A,identity) = zero # label(identity_is_largest) # label(axiom). [assumption].
% 0.88/1.15 3 divide(divide(A,B),A) = zero # label(quotient_smaller_than_numerator) # label(axiom). [assumption].
% 0.88/1.15 4 divide(divide(divide(A,B),divide(C,B)),divide(divide(A,C),B)) = zero # label(quotient_property) # label(axiom). [assumption].
% 0.88/1.15 5 divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))) # label(prove_this) # label(negated_conjecture) # answer(prove_this). [assumption].
% 0.88/1.15 6 divide(divide(identity,a),divide(identity,divide(identity,a))) != divide(identity,a) # answer(prove_this). [copy(5),flip(a)].
% 0.88/1.15 7 divide(A,B) != zero | divide(B,A) != zero | A = B # label(divide_and_equal) # label(axiom). [assumption].
% 0.88/1.15 8 divide(divide(A,B),C) != zero | divide(divide(A,C),B) = zero # label(property_of_divide1) # label(axiom). [assumption].
% 0.88/1.15 9 divide(A,B) != zero | divide(divide(A,C),divide(B,C)) = zero # label(property_of_divide3) # label(axiom). [assumption].
% 0.88/1.15 10 divide(A,B) != zero | divide(B,C) != zero | divide(A,C) = zero # label(transitivity_of_divide_to_zero) # label(axiom). [assumption].
% 0.88/1.15 19 divide(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))) != zero # answer(prove_this). [ur(7,b,3,a,c,6,a(flip))].
% 0.88/1.15 20 divide(A,zero) != zero | zero = A. [para(1(a,1),7(a,1)),xx(a)].
% 0.88/1.15 24 divide(divide(divide(A,B),divide(divide(A,C),B)),divide(C,B)) = zero. [hyper(8,a,4,a)].
% 0.88/1.15 25 divide(divide(A,A),B) = zero. [hyper(8,a,3,a)].
% 0.88/1.15 30 divide(divide(A,B),divide(identity,B)) = zero. [hyper(9,a,2,a)].
% 0.88/1.15 66 divide(A,A) = zero. [hyper(7,a,3,a,b,25,a),rewrite([25(2)]),flip(a)].
% 0.88/1.15 70 divide(divide(A,divide(A,B)),B) = zero. [hyper(8,a,66,a)].
% 0.88/1.15 105 divide(divide(A,divide(identity,B)),B) = zero. [hyper(8,a,30,a)].
% 0.88/1.15 111 divide(A,divide(A,zero)) = zero. [hyper(20,a,70,a),flip(a)].
% 0.88/1.15 177 divide(A,zero) = A. [hyper(7,a,3,a,b,111,a)].
% 0.88/1.15 211 divide(divide(A,divide(identity,divide(B,divide(B,C)))),C) = zero. [hyper(10,a,105,a,b,70,a)].
% 0.88/1.15 421 divide(divide(identity,a),divide(A,divide(identity,divide(identity,a)))) != zero # answer(prove_this). [ur(10,b,24,a,c,19,a),rewrite([30(19),177(11)])].
% 0.88/1.15 761 divide(divide(identity,divide(A,divide(identity,divide(identity,a)))),a) != zero # answer(prove_this). [ur(8,b,421,a)].
% 0.88/1.15 762 $F # answer(prove_this). [resolve(761,a,211,a)].
% 0.88/1.15
% 0.88/1.15 % SZS output end Refutation
% 0.88/1.15 ============================== end of proof ==========================
% 0.88/1.15
% 0.88/1.15 ============================== STATISTICS ============================
% 0.88/1.15
% 0.88/1.15 Given=86. Generated=5621. Kept=760. proofs=1.
% 0.88/1.15 Usable=60. Sos=348. Demods=152. Limbo=8, Disabled=352. Hints=0.
% 0.88/1.15 Megabytes=0.65.
% 0.88/1.15 User_CPU=0.14, System_CPU=0.00, Wall_clock=0.
% 0.88/1.15
% 0.88/1.15 ============================== end of statistics =====================
% 0.88/1.15
% 0.88/1.15 ============================== end of search =========================
% 0.88/1.15
% 0.88/1.15 THEOREM PROVED
% 0.88/1.15 % SZS status Unsatisfiable
% 0.88/1.15
% 0.88/1.15 Exiting with 1 proof.
% 0.88/1.15
% 0.88/1.15 Process 2214 exit (max_proofs) Fri Jul 1 14:12:00 2022
% 0.88/1.15 Prover9 interrupted
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