TSTP Solution File: HEN011-5 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : HEN011-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n015.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 13:01:00 EDT 2022
% Result : Unsatisfiable 0.94s 1.22s
% Output : Refutation 0.94s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN011-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 1 13:51:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.94/1.22 ============================== Prover9 ===============================
% 0.94/1.22 Prover9 (32) version 2009-11A, November 2009.
% 0.94/1.22 Process 815 was started by sandbox on n015.cluster.edu,
% 0.94/1.22 Fri Jul 1 13:51:43 2022
% 0.94/1.22 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_628_n015.cluster.edu".
% 0.94/1.22 ============================== end of head ===========================
% 0.94/1.22
% 0.94/1.22 ============================== INPUT =================================
% 0.94/1.22
% 0.94/1.22 % Reading from file /tmp/Prover9_628_n015.cluster.edu
% 0.94/1.22
% 0.94/1.22 set(prolog_style_variables).
% 0.94/1.22 set(auto2).
% 0.94/1.22 % set(auto2) -> set(auto).
% 0.94/1.22 % set(auto) -> set(auto_inference).
% 0.94/1.22 % set(auto) -> set(auto_setup).
% 0.94/1.22 % set(auto_setup) -> set(predicate_elim).
% 0.94/1.22 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.94/1.22 % set(auto) -> set(auto_limits).
% 0.94/1.22 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.94/1.22 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.94/1.22 % set(auto) -> set(auto_denials).
% 0.94/1.22 % set(auto) -> set(auto_process).
% 0.94/1.22 % set(auto2) -> assign(new_constants, 1).
% 0.94/1.22 % set(auto2) -> assign(fold_denial_max, 3).
% 0.94/1.22 % set(auto2) -> assign(max_weight, "200.000").
% 0.94/1.22 % set(auto2) -> assign(max_hours, 1).
% 0.94/1.22 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.94/1.22 % set(auto2) -> assign(max_seconds, 0).
% 0.94/1.22 % set(auto2) -> assign(max_minutes, 5).
% 0.94/1.22 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.94/1.22 % set(auto2) -> set(sort_initial_sos).
% 0.94/1.22 % set(auto2) -> assign(sos_limit, -1).
% 0.94/1.22 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.94/1.22 % set(auto2) -> assign(max_megs, 400).
% 0.94/1.22 % set(auto2) -> assign(stats, some).
% 0.94/1.22 % set(auto2) -> clear(echo_input).
% 0.94/1.22 % set(auto2) -> set(quiet).
% 0.94/1.22 % set(auto2) -> clear(print_initial_clauses).
% 0.94/1.22 % set(auto2) -> clear(print_given).
% 0.94/1.22 assign(lrs_ticks,-1).
% 0.94/1.22 assign(sos_limit,10000).
% 0.94/1.22 assign(order,kbo).
% 0.94/1.22 set(lex_order_vars).
% 0.94/1.22 clear(print_given).
% 0.94/1.22
% 0.94/1.22 % formulas(sos). % not echoed (14 formulas)
% 0.94/1.22
% 0.94/1.22 ============================== end of input ==========================
% 0.94/1.22
% 0.94/1.22 % From the command line: assign(max_seconds, 300).
% 0.94/1.22
% 0.94/1.22 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.94/1.22
% 0.94/1.22 % Formulas that are not ordinary clauses:
% 0.94/1.22
% 0.94/1.22 ============================== end of process non-clausal formulas ===
% 0.94/1.22
% 0.94/1.22 ============================== PROCESS INITIAL CLAUSES ===============
% 0.94/1.22
% 0.94/1.22 ============================== PREDICATE ELIMINATION =================
% 0.94/1.22
% 0.94/1.22 ============================== end predicate elimination =============
% 0.94/1.22
% 0.94/1.22 Auto_denials:
% 0.94/1.22 % copying label prove_this to answer in negative clause
% 0.94/1.22
% 0.94/1.22 Term ordering decisions:
% 0.94/1.22 Function symbol KB weights: zero=1. identity=1. a=1. b=1. divide=1.
% 0.94/1.22
% 0.94/1.22 ============================== end of process initial clauses ========
% 0.94/1.22
% 0.94/1.22 ============================== CLAUSES FOR SEARCH ====================
% 0.94/1.22
% 0.94/1.22 ============================== end of clauses for search =============
% 0.94/1.22
% 0.94/1.22 ============================== SEARCH ================================
% 0.94/1.22
% 0.94/1.22 % Starting search at 0.01 seconds.
% 0.94/1.22
% 0.94/1.22 ============================== PROOF =================================
% 0.94/1.22 % SZS status Unsatisfiable
% 0.94/1.22 % SZS output start Refutation
% 0.94/1.22
% 0.94/1.22 % Proof 1 at 0.23 (+ 0.01) seconds: prove_this.
% 0.94/1.22 % Length of proof is 19.
% 0.94/1.22 % Level of proof is 5.
% 0.94/1.22 % Maximum clause weight is 19.000.
% 0.94/1.22 % Given clauses 96.
% 0.94/1.22
% 0.94/1.22 3 divide(A,A) = zero # label(x_divide_x_is_zero) # label(axiom). [assumption].
% 0.94/1.22 5 divide(divide(A,B),A) = zero # label(quotient_smaller_than_numerator) # label(axiom). [assumption].
% 0.94/1.22 8 divide(divide(divide(A,B),divide(C,B)),divide(divide(A,C),B)) = zero # label(quotient_property) # label(axiom). [assumption].
% 0.94/1.22 9 divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))) # label(prove_this) # label(negated_conjecture) # answer(prove_this). [assumption].
% 0.94/1.22 10 divide(divide(identity,b),divide(identity,divide(identity,a))) != divide(divide(identity,a),divide(identity,divide(identity,b))) # answer(prove_this). [copy(9),flip(a)].
% 0.94/1.22 11 divide(A,B) != zero | divide(B,A) != zero | A = B # label(divide_and_equal) # label(axiom). [assumption].
% 0.94/1.22 12 divide(divide(A,B),C) != zero | divide(divide(A,C),B) = zero # label(property_of_divide1) # label(axiom). [assumption].
% 0.94/1.22 13 divide(A,B) != zero | divide(divide(C,B),divide(C,A)) = zero # label(property_of_divide2) # label(axiom). [assumption].
% 0.94/1.22 15 divide(A,B) != zero | divide(B,C) != zero | divide(A,C) = zero # label(transitivity_of_divide_to_zero) # label(axiom). [assumption].
% 0.94/1.22 35 divide(divide(A,divide(A,B)),B) = zero. [hyper(12,a,3,a)].
% 0.94/1.22 41 divide(divide(A,B),divide(A,divide(B,C))) = zero. [hyper(13,a,5,a)].
% 0.94/1.22 80 divide(divide(A,B),divide(A,divide(C,divide(C,B)))) = zero. [hyper(13,a,35,a)].
% 0.94/1.22 82 divide(A,divide(B,divide(B,A))) != zero | divide(B,divide(B,A)) = A. [para(35(a,1),11(a,1)),xx(a)].
% 0.94/1.22 169 divide(divide(divide(A,B),C),divide(divide(A,C),B)) = zero. [hyper(15,a,41,a,b,8,a)].
% 0.94/1.22 1223 divide(A,divide(A,divide(A,B))) = divide(A,B). [hyper(82,a,80,a)].
% 0.94/1.22 1301 divide(divide(A,B),C) = divide(divide(A,C),B). [hyper(11,a,169,a,b,169,a)].
% 0.94/1.22 1504 divide(divide(identity,b),divide(identity,divide(identity,a))) != divide(divide(identity,a),b) # answer(prove_this). [para(1301(a,1),10(a,2)),rewrite([1223(16),1301(14)])].
% 0.94/1.22 1524 divide(divide(A,B),divide(A,divide(A,C))) = divide(divide(A,C),B). [para(1223(a,1),1301(a,1,1)),flip(a)].
% 0.94/1.22 1525 $F # answer(prove_this). [resolve(1524,a,1504,a)].
% 0.94/1.22
% 0.94/1.22 % SZS output end Refutation
% 0.94/1.22 ============================== end of proof ==========================
% 0.94/1.22
% 0.94/1.22 ============================== STATISTICS ============================
% 0.94/1.22
% 0.94/1.22 Given=96. Generated=11578. Kept=1523. proofs=1.
% 0.94/1.22 Usable=63. Sos=834. Demods=694. Limbo=21, Disabled=618. Hints=0.
% 0.94/1.22 Megabytes=1.32.
% 0.94/1.22 User_CPU=0.23, System_CPU=0.01, Wall_clock=1.
% 0.94/1.22
% 0.94/1.22 ============================== end of statistics =====================
% 0.94/1.22
% 0.94/1.22 ============================== end of search =========================
% 0.94/1.22
% 0.94/1.22 THEOREM PROVED
% 0.94/1.22 % SZS status Unsatisfiable
% 0.94/1.22
% 0.94/1.22 Exiting with 1 proof.
% 0.94/1.22
% 0.94/1.22 Process 815 exit (max_proofs) Fri Jul 1 13:51:44 2022
% 0.94/1.22 Prover9 interrupted
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