TSTP Solution File: HEN006-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : HEN006-2 : TPTP v8.1.0. Released v1.0.0.
% 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 13:00:49 EDT 2022
% Result : Unsatisfiable 0.70s 1.16s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : HEN006-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.11 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.31 % Computer : n015.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Fri Jul 1 13:08:28 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.70/1.16 ============================== Prover9 ===============================
% 0.70/1.16 Prover9 (32) version 2009-11A, November 2009.
% 0.70/1.16 Process 24649 was started by sandbox on n015.cluster.edu,
% 0.70/1.16 Fri Jul 1 13:08:28 2022
% 0.70/1.16 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_24466_n015.cluster.edu".
% 0.70/1.16 ============================== end of head ===========================
% 0.70/1.16
% 0.70/1.16 ============================== INPUT =================================
% 0.70/1.16
% 0.70/1.16 % Reading from file /tmp/Prover9_24466_n015.cluster.edu
% 0.70/1.16
% 0.70/1.16 set(prolog_style_variables).
% 0.70/1.16 set(auto2).
% 0.70/1.16 % set(auto2) -> set(auto).
% 0.70/1.16 % set(auto) -> set(auto_inference).
% 0.70/1.16 % set(auto) -> set(auto_setup).
% 0.70/1.16 % set(auto_setup) -> set(predicate_elim).
% 0.70/1.16 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.70/1.16 % set(auto) -> set(auto_limits).
% 0.70/1.16 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.70/1.16 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.70/1.16 % set(auto) -> set(auto_denials).
% 0.70/1.16 % set(auto) -> set(auto_process).
% 0.70/1.16 % set(auto2) -> assign(new_constants, 1).
% 0.70/1.16 % set(auto2) -> assign(fold_denial_max, 3).
% 0.70/1.16 % set(auto2) -> assign(max_weight, "200.000").
% 0.70/1.16 % set(auto2) -> assign(max_hours, 1).
% 0.70/1.16 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.70/1.16 % set(auto2) -> assign(max_seconds, 0).
% 0.70/1.16 % set(auto2) -> assign(max_minutes, 5).
% 0.70/1.16 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.70/1.16 % set(auto2) -> set(sort_initial_sos).
% 0.70/1.16 % set(auto2) -> assign(sos_limit, -1).
% 0.70/1.16 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.70/1.16 % set(auto2) -> assign(max_megs, 400).
% 0.70/1.16 % set(auto2) -> assign(stats, some).
% 0.70/1.16 % set(auto2) -> clear(echo_input).
% 0.70/1.16 % set(auto2) -> set(quiet).
% 0.70/1.16 % set(auto2) -> clear(print_initial_clauses).
% 0.70/1.16 % set(auto2) -> clear(print_given).
% 0.70/1.16 assign(lrs_ticks,-1).
% 0.70/1.16 assign(sos_limit,10000).
% 0.70/1.16 assign(order,kbo).
% 0.70/1.16 set(lex_order_vars).
% 0.70/1.16 clear(print_given).
% 0.70/1.16
% 0.70/1.16 % formulas(sos). % not echoed (18 formulas)
% 0.70/1.16
% 0.70/1.16 ============================== end of input ==========================
% 0.70/1.16
% 0.70/1.16 % From the command line: assign(max_seconds, 300).
% 0.70/1.16
% 0.70/1.16 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.70/1.16
% 0.70/1.16 % Formulas that are not ordinary clauses:
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% 0.70/1.16 ============================== end of process non-clausal formulas ===
% 0.70/1.16
% 0.70/1.16 ============================== PROCESS INITIAL CLAUSES ===============
% 0.70/1.16
% 0.70/1.16 ============================== PREDICATE ELIMINATION =================
% 0.70/1.16
% 0.70/1.16 ============================== end predicate elimination =============
% 0.70/1.16
% 0.70/1.16 Auto_denials:
% 0.70/1.16 % copying label prove_xQzLEy to answer in negative clause
% 0.70/1.16
% 0.70/1.16 Term ordering decisions:
% 0.70/1.16 Function symbol KB weights: zero=1. identity=1. x=1. xQy=1. z=1. xQz=1. y=1. divide=1.
% 0.70/1.16
% 0.70/1.16 ============================== end of process initial clauses ========
% 0.70/1.16
% 0.70/1.16 ============================== CLAUSES FOR SEARCH ====================
% 0.70/1.16
% 0.70/1.16 ============================== end of clauses for search =============
% 0.70/1.16
% 0.70/1.16 ============================== SEARCH ================================
% 0.70/1.16
% 0.70/1.16 % Starting search at 0.01 seconds.
% 0.70/1.16
% 0.70/1.16 ============================== PROOF =================================
% 0.70/1.16 % SZS status Unsatisfiable
% 0.70/1.16 % SZS output start Refutation
% 0.70/1.16
% 0.70/1.16 % Proof 1 at 0.19 (+ 0.01) seconds: prove_xQzLEy.
% 0.70/1.16 % Length of proof is 22.
% 0.70/1.16 % Level of proof is 6.
% 0.70/1.16 % Maximum clause weight is 23.000.
% 0.70/1.16 % Given clauses 142.
% 0.70/1.16
% 0.70/1.16 1 less_equal(zero,A) # label(zero_is_smallest) # label(axiom). [assumption].
% 0.70/1.16 3 less_equal(xQy,z) # label(xQyLEz) # label(hypothesis). [assumption].
% 0.70/1.16 8 quotient(x,y,xQy) # label(xQy) # label(hypothesis). [assumption].
% 0.70/1.16 9 quotient(x,z,xQz) # label(xQz) # label(hypothesis). [assumption].
% 0.70/1.16 10 quotient(A,B,divide(A,B)) # label(closure) # label(axiom). [assumption].
% 0.70/1.16 11 -less_equal(xQz,y) # label(prove_xQzLEy) # label(negated_conjecture) # answer(prove_xQzLEy). [assumption].
% 0.70/1.16 12 -less_equal(A,B) | quotient(A,B,zero) # label(quotient_less_equal) # label(axiom). [assumption].
% 0.70/1.16 13 -quotient(A,B,zero) | less_equal(A,B) # label(less_equal_quotient) # label(axiom). [assumption].
% 0.70/1.16 14 -quotient(A,B,C) | less_equal(C,A) # label(divisor_existence) # label(axiom). [assumption].
% 0.70/1.16 15 -less_equal(A,B) | -less_equal(B,A) | A = B # label(less_equal_and_equal) # label(axiom). [assumption].
% 0.70/1.16 16 -less_equal(A,B) | -less_equal(B,C) | less_equal(A,C) # label(transitivity_of_less_equal) # label(axiom). [assumption].
% 0.70/1.16 17 -quotient(A,B,C) | -quotient(A,B,D) | C = D # label(well_defined) # label(axiom). [assumption].
% 0.70/1.16 18 -quotient(A,B,C) | -quotient(B,D,E) | -quotient(A,D,F) | -quotient(F,E,V6) | -quotient(C,D,V7) | less_equal(V6,V7) # label(quotient_property) # label(axiom). [assumption].
% 0.70/1.16 19 quotient(xQy,z,zero). [hyper(12,a,3,a)].
% 0.70/1.16 22 less_equal(divide(A,B),A). [hyper(14,a,10,a)].
% 0.70/1.16 28 divide(x,z) = xQz. [hyper(17,a,10,a,b,9,a)].
% 0.70/1.16 55 less_equal(divide(xQz,divide(y,z)),zero). [hyper(18,a,8,a,b,10,a,c,10,a,d,10,a,e,19,a),rewrite([28(3)])].
% 0.70/1.16 136 -less_equal(xQz,divide(y,A)) # answer(prove_xQzLEy). [ur(16,b,22,a,c,11,a)].
% 0.70/1.16 449 divide(xQz,divide(y,z)) = zero. [hyper(15,a,1,a,b,55,a),flip(a)].
% 0.70/1.16 691 quotient(xQz,divide(y,z),zero). [para(449(a,1),10(a,3))].
% 0.70/1.16 698 less_equal(xQz,divide(y,z)). [hyper(13,a,691,a)].
% 0.70/1.16 699 $F # answer(prove_xQzLEy). [resolve(698,a,136,a)].
% 0.70/1.16
% 0.70/1.16 % SZS output end Refutation
% 0.70/1.16 ============================== end of proof ==========================
% 0.70/1.16
% 0.70/1.16 ============================== STATISTICS ============================
% 0.70/1.16
% 0.70/1.16 Given=142. Generated=12408. Kept=698. proofs=1.
% 0.70/1.16 Usable=128. Sos=445. Demods=26. Limbo=3, Disabled=139. Hints=0.
% 0.70/1.16 Megabytes=0.42.
% 0.70/1.16 User_CPU=0.19, System_CPU=0.01, Wall_clock=1.
% 0.70/1.16
% 0.70/1.16 ============================== end of statistics =====================
% 0.70/1.16
% 0.70/1.16 ============================== end of search =========================
% 0.70/1.16
% 0.70/1.16 THEOREM PROVED
% 0.70/1.16 % SZS status Unsatisfiable
% 0.70/1.16
% 0.70/1.16 Exiting with 1 proof.
% 0.70/1.16
% 0.70/1.16 Process 24649 exit (max_proofs) Fri Jul 1 13:08:29 2022
% 0.70/1.16 Prover9 interrupted
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